# # RandomSource: MT_64 # RNG: org.apache.commons.rng.core.source64.MersenneTwister64 # Seed: 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 # # Java: 1.8.0_202 # Runtime: Java(TM) SE Runtime Environment (build 1.8.0_202-b08) # JVM: Java HotSpot(TM) 64-Bit Server VM (build 25.202-b08, mixed mode) # OS: Linux 3.13.0-91-generic amd64 # Native byte-order: LITTLE_ENDIAN # Output byte-order: LITTLE_ENDIAN # 64-bit output: false # # Analyzer: /home/ah403/git/commons-rng/commons-rng-examples/examples-stress/stdin2testu01 BigCrush # # Start: 2019-10-08 18:19:18 # 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 : 0.85 ----------------------------------------------- CPU time used : 00:01:57.90 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 : 0.41 ----------------------------------------------- CPU time used : 00:02:04.18 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 : 1415 p-value of test : 0.09 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334535 j = 1 : 599997170 j = 2 : 1415 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:03:25.72 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 : 1363 p-value of test : 0.51 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334483 j = 1 : 599997274 j = 2 : 1363 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:03:38.37 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 : 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 : 00:04:26.33 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 : 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 : 00:04:41.25 Generator state: N/A *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = tallinn, Linux stdin smultin_MultinomialOver test: ----------------------------------------------- N = 30, n = 20000000, r = 0, d = 64, t = 7, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 4398046511104 Expected number per cell = 1 / 219902.33 EColl = n^2 / (2k) = 45.47473509 Hashing = TRUE Collision test CollisionOver: density = n / k = 1 / 219902.33 Expected number of collisions = Mu = 45.47 ----------------------------------------------- Results of CollisionOver test: POISSON approximation : Expected number of collisions = N*Mu : 1364.24 Observed number of collisions : 1355 p-value of test : 0.59 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334475 j = 1 : 599997290 j = 2 : 1355 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:04:43.20 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 : 1366 p-value of test : 0.48 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334486 j = 1 : 599997268 j = 2 : 1366 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:04:54.48 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 : 1368 p-value of test : 0.46 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334488 j = 1 : 599997264 j = 2 : 1368 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:04:48.65 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 : 1321 p-value of test : 0.88 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334441 j = 1 : 599997358 j = 2 : 1321 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:05:01.76 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 : 1296 p-value of test : 0.97 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334416 j = 1 : 599997408 j = 2 : 1296 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:04:54.19 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 : 1333 p-value of test : 0.80 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334453 j = 1 : 599997334 j = 2 : 1333 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:05:10.28 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 : 5434 p-value of test : 0.43 ----------------------------------------------- CPU time used : 00:05:13.05 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 : 4321 p-value of test : 0.59 ----------------------------------------------- CPU time used : 00:02:18.61 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 : 7378 p-value of test : 0.24 ----------------------------------------------- CPU time used : 00:03:53.01 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 : 4373 p-value of test : 0.29 ----------------------------------------------- CPU time used : 00:02:52.23 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 : 4380 p-value of test : 0.26 ----------------------------------------------- CPU time used : 00:02:58.25 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 : 7381 p-value of test : 0.23 ----------------------------------------------- CPU time used : 00:04:40.22 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 : 7256 p-value of test : 0.76 ----------------------------------------------- CPU time used : 00:04:37.64 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 : 7256 p-value of test : 0.76 ----------------------------------------------- CPU time used : 00:06:03.17 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 : 7333 p-value of test : 0.43 ----------------------------------------------- CPU time used : 00:06:15.21 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin snpair_ClosePairs test: ----------------------------------------------- N = 30, n = 6000000, r = 0, t = 3, p = 0, m = 30, Torus = TRUE --------------------------------------- Test based on the 2 nearest points (NP): Stat. AD on the N values (NP) : 0.90 p-value of test : 0.42 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) : 0.16 p-value of test : 0.9979 Test on the Nm values of W_{n,i}(mNP1): 0.47 p-value of test : 0.77 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 900 Number of jumps of Y : 883 p-value of test : 0.71 Stat. AD (mNP2) : 0.36 p-value of test : 0.89 Stat. AD after spacings (mNP2-S) : 1.58 p-value of test : 0.16 ----------------------------------------------- CPU time used : 00:03:51.61 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin snpair_ClosePairs test: ----------------------------------------------- N = 20, n = 4000000, r = 0, t = 5, p = 0, m = 30, Torus = TRUE --------------------------------------- Test based on the 2 nearest points (NP): Stat. AD on the N values (NP) : 0.41 p-value of test : 0.84 A2 test based on the spacings between the successive jump times of process Y_n(t): A2 test on the values of A2 (m-NP) : 1.74 p-value of test : 0.13 Test on the Nm values of W_{n,i}(mNP1): 0.58 p-value of test : 0.67 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 600 Number of jumps of Y : 653 p-value of test : 0.02 Stat. AD (mNP2) : 0.70 p-value of test : 0.56 Stat. AD after spacings (mNP2-S) : 0.48 p-value of test : 0.77 ----------------------------------------------- CPU time used : 00:02:26.17 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin snpair_ClosePairs test: ----------------------------------------------- N = 10, n = 3000000, r = 0, t = 9, p = 0, m = 30, Torus = TRUE --------------------------------------- Test based on the 2 nearest points (NP): Stat. AD on the N values (NP) : 1.48 p-value of test : 0.18 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) : 0.77 p-value of test : 0.50 Test on the Nm values of W_{n,i}(mNP1): 0.69 p-value of test : 0.57 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 300 Number of jumps of Y : 294 p-value of test : 0.62 Stat. AD (mNP2) : 0.65 p-value of test : 0.60 Stat. AD after spacings (mNP2-S) : 0.91 p-value of test : 0.41 ----------------------------------------------- CPU time used : 00:03:46.98 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) : 0.25 p-value of test : 0.97 A2 test based on the spacings between the successive jump times of process Y_n(t): A2 test on the values of A2 (m-NP) : 2.64 p-value of test : 0.04 Test on the Nm values of W_{n,i}(mNP1): 0.45 p-value of test : 0.80 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 150 Number of jumps of Y : 157 p-value of test : 0.29 Stat. AD (mNP2) : 0.42 p-value of test : 0.83 Stat. AD after spacings (mNP2-S) : 0.99 p-value of test : 0.36 ----------------------------------------------- CPU time used : 00:04:10.81 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 : 3.93 p-value of test : 0.79 ----------------------------------------------- CPU time used : 00:01:39.88 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 : 6.88 p-value of test : 0.44 ----------------------------------------------- CPU time used : 00:01:57.52 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 : 8.48 p-value of test : 0.97 ----------------------------------------------- CPU time used : 00:01:32.90 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 : 16.36 p-value of test : 0.57 ----------------------------------------------- CPU time used : 00:01:54.39 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 : 45.68 p-value of test : 0.78 ----------------------------------------------- CPU time used : 00:02:03.92 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 : 50.01 p-value of test : 0.63 ----------------------------------------------- CPU time used : 00:02:27.68 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 : 52.32 p-value of test : 0.54 ----------------------------------------------- CPU time used : 00:02:27.69 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 : 61.89 p-value of test : 0.22 ----------------------------------------------- CPU time used : 00:02:28.59 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 : 254.82 p-value of test : 0.15 ----------------------------------------------- CPU time used : 00:02:45.63 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 : 484.07 p-value of test : 0.05 ----------------------------------------------- CPU time used : 00:03:42.35 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 : 1418.16 p-value of test : 0.63 ----------------------------------------------- CPU time used : 00:04:22.61 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 : 7035.83 p-value of test : 0.53 ----------------------------------------------- CPU time used : 00:03:38.09 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sknuth_Run test: ----------------------------------------------- N = 5, n = 1000000000, r = 0, Up = FALSE ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.012 p-value of test : 0.99 Kolmogorov-Smirnov- statistic = D- : 0.42 p-value of test : 0.13 Anderson-Darling statistic = A2 : 1.18 p-value of test : 0.27 Test on the sum of all N observations Number of degrees of freedom : 30 Chi-square statistic : 41.83 p-value of test : 0.07 ----------------------------------------------- CPU time used : 00:02:15.00 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sknuth_Run test: ----------------------------------------------- N = 10, n = 1000000000, r = 15, Up = TRUE ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.20 p-value of test : 0.40 Kolmogorov-Smirnov- statistic = D- : 0.081 p-value of test : 0.84 Anderson-Darling statistic = A2 : 0.43 p-value of test : 0.81 Test on the sum of all N observations Number of degrees of freedom : 60 Chi-square statistic : 53.92 p-value of test : 0.70 ----------------------------------------------- CPU time used : 00:05:02.72 Generator state: N/A *********************************************************** Test sknuth_Permutation calling smultin_Multinomial *********************************************************** HOST = tallinn, Linux stdin smultin_Multinomial test: ----------------------------------------------- N = 1, n = 1000000000, r = 5, t = 3, Sparse = FALSE GenerCell = smultin_GenerCellPermut Number of cells = t! = 6 Expected number per cell = 1.6666667e+08 Hashing = FALSE For Delta > -1, we use the ChiSquare approximation Correction factor of the ChiSquare: Delta = 1, Mu = 2.5000002e-09, Sigma = 1 ----------------------------------------------- Test Results for Delta = 1.0000 Number of degrees of freedom : 5 Value of the statistic : 2.16 p-value of test : 0.83 ----------------------------------------------- CPU time used : 00:01:29.87 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 : 103.59 p-value of test : 0.84 ----------------------------------------------- CPU time used : 00:02:32.96 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 : 4987.68 p-value of test : 0.69 ----------------------------------------------- CPU time used : 00:01:54.47 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 : 0.84 ----------------------------------------------- CPU time used : 00:03:34.07 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 : 45915 p-value of test : 0.43 ----------------------------- Total number of cells containing j balls j = 0 : 1743165869915 j = 1 : 399908171 j = 2 : 45913 j = 3 : 1 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:04:50.73 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 : 45401 p-value of test : 0.99 ----------------------------- Total number of cells containing j balls j = 0 : 1743165869401 j = 1 : 399909201 j = 2 : 45395 j = 3 : 3 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:05:08.46 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+ : 0.11 p-value of test : 0.37 Kolmogorov-Smirnov- statistic = D- : 0.12 p-value of test : 0.27 Anderson-Darling statistic = A2 : 0.78 p-value of test : 0.49 Test on the sum of all N observations Number of degrees of freedom : 3999960 Chi-square statistic : 4.00e+6 p-value of test : 0.28 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.093 p-value of test : 0.47 Kolmogorov-Smirnov- statistic = D- : 0.072 p-value of test : 0.63 Anderson-Darling statistic = A2 : 0.50 p-value of test : 0.74 ----------------------------------------------- CPU time used : 00:04:18.12 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+ : 0.024 p-value of test : 0.95 Kolmogorov-Smirnov- statistic = D- : 0.15 p-value of test : 0.24 Anderson-Darling statistic = A2 : 1.16 p-value of test : 0.28 Test on the sum of all N observations Number of degrees of freedom : 2999970 Chi-square statistic : 3.00e+6 p-value of test : 0.09 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.19 p-value of test : 0.10 Kolmogorov-Smirnov- statistic = D- : 0.034 p-value of test : 0.91 Anderson-Darling statistic = A2 : 0.96 p-value of test : 0.38 ----------------------------------------------- CPU time used : 00:04:08.45 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+ : 0.086 p-value of test : 0.70 Kolmogorov-Smirnov- statistic = D- : 0.14 p-value of test : 0.41 Anderson-Darling statistic = A2 : 0.31 p-value of test : 0.93 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 p-value of test : 0.35 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.30 p-value of test : 0.02 Kolmogorov-Smirnov- statistic = D- : 0.034 p-value of test : 0.94 Anderson-Darling statistic = A2 : 2.39 p-value of test : 0.06 ----------------------------------------------- CPU time used : 00:03:17.75 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sknuth_MaxOft test: ----------------------------------------------- N = 20, n = 10000000, r = 0, d = 100000, t = 32 Number of categories = 100000 Expected number per category = 100.00 ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: Kolmogorov-Smirnov+ statistic = D+ : 0.16 p-value of test : 0.33 Kolmogorov-Smirnov- statistic = D- : 0.12 p-value of test : 0.54 Anderson-Darling statistic = A2 : 0.79 p-value of test : 0.48 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 p-value of test : 0.67 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.091 p-value of test : 0.68 Kolmogorov-Smirnov- statistic = D- : 0.096 p-value of test : 0.65 Anderson-Darling statistic = A2 : 0.20 p-value of test : 0.9914 ----------------------------------------------- CPU time used : 00:03:51.01 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleProd test: ----------------------------------------------- N = 40, n = 10000000, r = 0, t = 8 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.097 p-value of test : 0.44 Kolmogorov-Smirnov- statistic = D- : 0.086 p-value of test : 0.52 Anderson-Darling statistic = A2 : 0.45 p-value of test : 0.80 ----------------------------------------------- CPU time used : 00:03:32.15 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleProd test: ----------------------------------------------- N = 20, n = 10000000, r = 0, t = 16 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.15 p-value of test : 0.35 Kolmogorov-Smirnov- statistic = D- : 0.071 p-value of test : 0.78 Anderson-Darling statistic = A2 : 0.66 p-value of test : 0.59 ----------------------------------------------- CPU time used : 00:02:40.07 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleProd test: ----------------------------------------------- N = 20, n = 10000000, r = 0, t = 24 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.19 p-value of test : 0.20 Kolmogorov-Smirnov- statistic = D- : 0.11 p-value of test : 0.56 Anderson-Darling statistic = A2 : 0.92 p-value of test : 0.40 ----------------------------------------------- CPU time used : 00:03:36.27 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleMean test: ----------------------------------------------- N = 20000000, n = 30, r = 0 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 1.43e-4 p-value of test : 0.44 Kolmogorov-Smirnov- statistic = D- : 2.60e-4 p-value of test : 0.07 Anderson-Darling statistic = A2 : 1.17 p-value of test : 0.28 ----------------------------------------------- CPU time used : 00:00:47.32 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleMean test: ----------------------------------------------- N = 20000000, n = 30, r = 10 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 1.28e-4 p-value of test : 0.52 Kolmogorov-Smirnov- statistic = D- : 8.50e-5 p-value of test : 0.75 Anderson-Darling statistic = A2 : 0.68 p-value of test : 0.58 ----------------------------------------------- CPU time used : 00:00:47.80 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleCorr test: ----------------------------------------------- N = 1, n = 2000000000, r = 0, k = 1 ----------------------------------------------- Normal statistic : -1.64 p-value of test : 0.95 ----------------------------------------------- CPU time used : 00:00:48.79 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleCorr test: ----------------------------------------------- N = 1, n = 2000000000, r = 0, k = 2 ----------------------------------------------- Normal statistic : -0.70 p-value of test : 0.76 ----------------------------------------------- CPU time used : 00:00:47.52 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 : 1.36 p-value of test : 0.09 ----------------------------------------------- CPU time used : 00:02:34.92 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 : 0.69 p-value of test : 0.24 ----------------------------------------------- CPU time used : 00:02:34.81 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 : 60.35 p-value of test : 0.70 ----------------------------------------------- CPU time used : 00:01:48.21 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 : 60.78 p-value of test : 0.69 ----------------------------------------------- CPU time used : 00:02:06.27 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 : 94.24 p-value of test : 0.02 ----------------------------------------------- CPU time used : 00:02:05.84 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 : 57.75 p-value of test : 0.02 ----------------------------------------------- CPU time used : 00:01:48.52 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 : 34.29 p-value of test : 0.60 ----------------------------------------------- CPU time used : 00:02:08.60 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_WeightDistrib test: ----------------------------------------------- N = 1, n = 20000000, r = 26, k = 256, Alpha = 0, Beta = 0.0625 ----------------------------------------------- Number of degrees of freedom : 37 Chi-square statistic : 32.76 p-value of test : 0.67 ----------------------------------------------- CPU time used : 00:02:07.52 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 : 24.24 p-value of test : 0.72 ----------------------------------------------- CPU time used : 00:03:42.79 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- : 0.23 p-value of test : 0.30 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 : 40 Chi-square statistic : 47.50 p-value of test : 0.19 ----------------------------------------------- CPU time used : 00:01:39.94 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+ : 0.34 p-value of test : 0.07 Kolmogorov-Smirnov- statistic = D- : 0.011 p-value of test : 0.99 Anderson-Darling statistic = A2 : 2.21 p-value of test : 0.07 Test on the sum of all N observations Number of degrees of freedom : 40 Chi-square statistic : 23.49 p-value of test : 0.98 ----------------------------------------------- CPU time used : 00:01:40.15 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 5000, r = 0, s = 4, L = 1000, k = 1000 ----------------------------------------------- Number of degrees of freedom : 3 Chi-square statistic : 1.49 p-value of test : 0.68 ----------------------------------------------- CPU time used : 00:02:38.78 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 : 0.26 p-value of test : 0.97 ----------------------------------------------- CPU time used : 00:02:41.13 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 : 4.54 p-value of test : 0.10 ----------------------------------------------- CPU time used : 00:02:06.29 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 : 1.82 p-value of test : 0.40 ----------------------------------------------- CPU time used : 00:02:00.65 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+ : 0.10 p-value of test : 0.75 Kolmogorov-Smirnov- statistic = D- : 0.24 p-value of test : 0.26 Anderson-Darling statistic = A2 : 0.52 p-value of test : 0.72 Test on the sum of all N observations Number of degrees of freedom : 130 Chi-square statistic : 132.47 p-value of test : 0.42 ----------------------------------------------- CPU time used : 00:01:12.12 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+ : 0.090 p-value of test : 0.80 Kolmogorov-Smirnov- statistic = D- : 0.11 p-value of test : 0.73 Anderson-Darling statistic = A2 : 0.17 p-value of test : 0.9964 Test on the sum of all N observations Number of degrees of freedom : 17430 Chi-square statistic :17480.13 p-value of test : 0.39 ----------------------------------------------- CPU time used : 00:02:02.42 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 : 26.89 p-value of test : 0.86 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 ChiSquare statistic : 48.69 p-value of test : 0.06 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 ChiSquare statistic : 17.02 p-value of test : 0.88 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 ChiSquare statistic : 18.06 p-value of test : 0.80 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 ChiSquare statistic : 12.71 p-value of test : 0.76 ----------------------------------------------- CPU time used : 00:01:09.78 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 : 23.32 p-value of test : 0.95 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 ChiSquare statistic : 32.79 p-value of test : 0.58 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 ChiSquare statistic : 14.91 p-value of test : 0.94 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 ChiSquare statistic : 13.68 p-value of test : 0.95 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 ChiSquare statistic : 14.30 p-value of test : 0.65 ----------------------------------------------- CPU time used : 00:01:09.04 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 : 148.74 p-value of test : 0.42 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 ChiSquare statistic : 135.32 p-value of test : 0.73 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 ChiSquare statistic : 506.20 p-value of test : 0.41 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 ChiSquare statistic : 139.92 p-value of test : 0.39 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 ChiSquare statistic : 88.04 p-value of test : 0.13 ----------------------------------------------- CPU time used : 00:01:21.77 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 : 155.94 p-value of test : 0.27 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 ChiSquare statistic : 169.59 p-value of test : 0.09 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 ChiSquare statistic : 488.53 p-value of test : 0.63 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 ChiSquare statistic : 132.65 p-value of test : 0.57 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 ChiSquare statistic : 91.17 p-value of test : 0.09 ----------------------------------------------- CPU time used : 00:01:21.34 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 : 374.99 p-value of test : 0.62 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 ChiSquare statistic : 422.64 p-value of test : 0.08 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 ChiSquare statistic : 5131.55 p-value of test : 0.09 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 ChiSquare statistic : 350.38 p-value of test : 0.84 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 ChiSquare statistic : 213.38 p-value of test : 0.25 ----------------------------------------------- CPU time used : 00:01:27.78 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 : 396.22 p-value of test : 0.32 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 ChiSquare statistic : 385.25 p-value of test : 0.47 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 ChiSquare statistic : 5124.75 p-value of test : 0.11 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 ChiSquare statistic : 378.34 p-value of test : 0.49 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 ChiSquare statistic : 193.72 p-value of test : 0.61 ----------------------------------------------- CPU time used : 00:01:25.54 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 : 11.80 p-value of test : 0.46 ----------------------------------------------- Normal statistic for number of jumps : -359.04 p-value of test : 1 - eps1 ***** ----------------------------------------------- CPU time used : 00:00:21.75 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 : 25.55 p-value of test : 0.01 ----------------------------------------------- Normal statistic for number of jumps : -358.72 p-value of test : 1 - eps1 ***** ----------------------------------------------- CPU time used : 00:00:24.95 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+ : 0.19 p-value of test : 0.44 Kolmogorov-Smirnov- statistic = D- : 0.20 p-value of test : 0.39 Anderson-Darling statistic = A2 : 0.50 p-value of test : 0.74 Tests on the sum of all N observations Standardized normal statistic : 0.21 p-value of test : 0.42 Sample variance : 0.54 p-value of test : 0.84 ----------------------------------------------- CPU time used : 00:01:22.88 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+ : 0.28 p-value of test : 0.18 Kolmogorov-Smirnov- statistic = D- : 0.25 p-value of test : 0.24 Anderson-Darling statistic = A2 : 1.13 p-value of test : 0.30 Tests on the sum of all N observations Standardized normal statistic : -0.26 p-value of test : 0.60 Sample variance : 1.52 p-value of test : 0.13 ----------------------------------------------- CPU time used : 00:01:15.55 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sspectral_Fourier3 test: ----------------------------------------------- N = 100000, n = 16384, r = 0, s = 3, k = 14 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.018 p-value of test : 0.07 Kolmogorov-Smirnov- statistic = D- : 5.76e-3 p-value of test : 0.76 Anderson-Darling statistic = A2 : 2.11 p-value of test : 0.08 ----------------------------------------------- CPU time used : 00:00:55.37 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sspectral_Fourier3 test: ----------------------------------------------- N = 100000, n = 16384, r = 27, s = 3, k = 14 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.015 p-value of test : 0.17 Kolmogorov-Smirnov- statistic = D- : 4.11e-3 p-value of test : 0.87 Anderson-Darling statistic = A2 : 0.97 p-value of test : 0.38 ----------------------------------------------- CPU time used : 00:00:53.95 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_LongestHeadRun test: ----------------------------------------------- N = 1, n = 1000, r = 0, s = 3, L = 10000020 ----------------------------------------------- Number of degrees of freedom : 8 Chi-square statistic : 8.19 p-value of test : 0.42 ----------------------------------------------- Global longest run of 1 : 35.00 p-value of test : 0.14 ----------------------------------------------- CPU time used : 00:01:55.17 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 : 4.71 p-value of test : 0.79 ----------------------------------------------- Global longest run of 1 : 30.00 p-value of test : 0.90 ----------------------------------------------- CPU time used : 00:01:54.27 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_PeriodsInStrings test: ----------------------------------------------- N = 10, n = 500000000, r = 0, s = 10 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.13 p-value of test : 0.66 Kolmogorov-Smirnov- statistic = D- : 0.23 p-value of test : 0.30 Anderson-Darling statistic = A2 : 0.62 p-value of test : 0.62 Test on the sum of all N observations Number of degrees of freedom : 200 Chi-square statistic : 205.98 p-value of test : 0.37 ----------------------------------------------- CPU time used : 00:03:58.01 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_PeriodsInStrings test: ----------------------------------------------- N = 10, n = 500000000, r = 20, s = 10 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.28 p-value of test : 0.17 Kolmogorov-Smirnov- statistic = D- : 0.060 p-value of test : 0.90 Anderson-Darling statistic = A2 : 0.60 p-value of test : 0.65 Test on the sum of all N observations Number of degrees of freedom : 200 Chi-square statistic : 185.11 p-value of test : 0.77 ----------------------------------------------- CPU time used : 00:04:01.76 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- : 0.098 p-value of test : 0.77 Anderson-Darling statistic = A2 : 1.15 p-value of test : 0.29 Test on the sum of all N observations Number of degrees of freedom : 10000 Chi-square statistic : 9932.38 p-value of test : 0.68 ----------------------------------------------- CPU time used : 00:01:17.03 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- : 0.043 p-value of test : 0.94 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 : 10000 Chi-square statistic : 9865.32 p-value of test : 0.83 ----------------------------------------------- CPU time used : 00:01:22.27 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 1000000000, r = 10, s = 10, L = 30 ----------------------------------------------- Normal statistic : 0.90 p-value of test : 0.18 ----------------------------------------------- CPU time used : 00:01:41.11 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 100000000, r = 10, s = 10, L = 300 ----------------------------------------------- Normal statistic : -0.14 p-value of test : 0.55 ----------------------------------------------- CPU time used : 00:01:32.62 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 100000000, r = 10, s = 10, L = 1200 ----------------------------------------------- Normal statistic : -0.38 p-value of test : 0.65 ----------------------------------------------- CPU time used : 00:06:03.84 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+ : 0.44 p-value of test : 0.01 Kolmogorov-Smirnov- statistic = D- : 0.038 p-value of test : 0.95 Anderson-Darling statistic = A2 : 2.33 p-value of test : 0.06 Test on the sum of all N observations Number of degrees of freedom : 4890 Chi-square statistic : 4721.23 p-value of test : 0.96 ----------------------------------------------- CPU time used : 00:02:40.12 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+ : 0.045 p-value of test : 0.93 Kolmogorov-Smirnov- statistic = D- : 0.24 p-value of test : 0.28 Anderson-Darling statistic = A2 : 1.04 p-value of test : 0.33 Test on the sum of all N observations Number of degrees of freedom : 4890 Chi-square statistic : 5016.14 p-value of test : 0.10 ----------------------------------------------- CPU time used : 00:02:41.12 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 : 4172.41 p-value of test : 0.27 ----------------------------------------------- CPU time used : 00:01:57.60 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 : 4193.20 p-value of test : 0.20 ----------------------------------------------- CPU time used : 00:02:00.62 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 :11870.87 p-value of test : 0.38 ----------------------------------------------- CPU time used : 00:02:07.38 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 :11638.75 p-value of test : 0.89 ----------------------------------------------- CPU time used : 00:02:01.70 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_Run test: ----------------------------------------------- N = 1, n = 2000000000, r = 0, s = 3 ----------------------------------------------- Total number of 1 runs: 2000000000 Number of degrees of freedom : 54 Chi2 statistic for number of runs : 39.39 p-value of test : 0.93 ----------------------------------------------- Total number of bits: 8000063439 Normal statistic for number of bits : 0.50 p-value of test : 0.31 ----------------------------------------------- CPU time used : 00:01:40.38 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 : 47.79 p-value of test : 0.71 ----------------------------------------------- Total number of bits: 7999874448 Normal statistic for number of bits : -0.99 p-value of test : 0.84 ----------------------------------------------- CPU time used : 00:01:39.70 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+ : 0.045 p-value of test : 0.93 Kolmogorov-Smirnov- statistic = D- : 0.36 p-value of test : 0.06 Anderson-Darling statistic = A2 : 1.10 p-value of test : 0.31 Tests on the sum of all N observations Standardized normal statistic : 1.17 p-value of test : 0.12 Sample variance : 0.77 p-value of test : 0.65 ----------------------------------------------- CPU time used : 00:03:14.00 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+ : 0.016 p-value of test : 0.98 Kolmogorov-Smirnov- statistic = D- : 0.32 p-value of test : 0.10 Anderson-Darling statistic = A2 : 1.89 p-value of test : 0.11 Tests on the sum of all N observations Standardized normal statistic : 1.87 p-value of test : 0.03 Sample variance : 1.22 p-value of test : 0.27 ----------------------------------------------- CPU time used : 00:02:52.97 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_AutoCor test: ----------------------------------------------- N = 10, n = 1000000030, r = 27, s = 3, d = 1 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.21 p-value of test : 0.38 Kolmogorov-Smirnov- statistic = D- : 0.14 p-value of test : 0.62 Anderson-Darling statistic = A2 : 0.48 p-value of test : 0.77 Tests on the sum of all N observations Standardized normal statistic : -0.48 p-value of test : 0.69 Sample variance : 0.76 p-value of test : 0.65 ----------------------------------------------- CPU time used : 00:03:13.36 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+ : 0.061 p-value of test : 0.90 Kolmogorov-Smirnov- statistic = D- : 0.32 p-value of test : 0.10 Anderson-Darling statistic = A2 : 1.71 p-value of test : 0.13 Tests on the sum of all N observations Standardized normal statistic : 1.55 p-value of test : 0.06 Sample variance : 1.24 p-value of test : 0.26 ----------------------------------------------- CPU time used : 00:02:54.41 Generator state: N/A ========= Summary results of BigCrush ========= Version: TestU01 1.2.3 Generator: stdin Number of statistics: 160 Total CPU time: 04:52:17.45 The following tests gave p-values outside [0.001, 0.9990]: (eps means a value < 1.0e-300): (eps1 means a value < 1.0e-15): Test p-value ---------------------------------------------- 80 LinearComp, r = 0 1 - eps1 81 LinearComp, r = 29 1 - eps1 ---------------------------------------------- All other tests were passed # # End: 2019-10-08 23:12:44 # # Exit value: 0 # Bytes used: 1428420116480 >= 2^40 (1.4 TB) # # Test duration: 293.4281142462167 minutes #