# # RandomSource: WELL_19937_C # RNG: org.apache.commons.rng.core.source32.Well19937c # Seed: 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 # # Java: 1.8.0_202 # Runtime: Java(TM) SE Runtime Environment (build 1.8.0_202-b08) # JVM: Java HotSpot(TM) 64-Bit Server VM (build 25.202-b08, mixed mode) # OS: Linux 3.13.0-91-generic amd64 # Native byte-order: LITTLE_ENDIAN # Output byte-order: LITTLE_ENDIAN # # Analyzer: /home/ah403/git/commons-rng/commons-rng-examples/examples-stress/stdin2testu01 BigCrush # # Start: 2019-10-07 19:58:43 # 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 : 0.46 ----------------------------------------------- CPU time used : 00:02:10.59 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 : 0.28 ----------------------------------------------- CPU time used : 00:02:15.01 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 : 1365 p-value of test : 0.50 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334485 j = 1 : 599997270 j = 2 : 1365 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:03:55.19 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 : 1343 p-value of test : 0.71 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334463 j = 1 : 599997314 j = 2 : 1343 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:04:06.61 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 : 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 : 00:05:01.63 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 : 1383 p-value of test : 0.31 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334503 j = 1 : 599997234 j = 2 : 1383 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:05:09.67 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 : 1354 p-value of test : 0.60 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334474 j = 1 : 599997292 j = 2 : 1354 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:05:11.77 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 : 1360 p-value of test : 0.54 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334480 j = 1 : 599997280 j = 2 : 1360 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:05:16.67 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 : 00:05:07.63 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 : 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 : 00:05:12.94 Generator state: N/A *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = tallinn, Linux stdin smultin_MultinomialOver test: ----------------------------------------------- N = 30, n = 20000000, r = 0, d = 4, t = 21, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 4398046511104 Expected number per cell = 1 / 219902.33 EColl = n^2 / (2k) = 45.47473509 Hashing = TRUE Collision test CollisionOver: density = n / k = 1 / 219902.33 Expected number of collisions = Mu = 45.47 ----------------------------------------------- Results of CollisionOver test: POISSON approximation : Expected number of collisions = N*Mu : 1364.24 Observed number of collisions : 1385 p-value of test : 0.29 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334505 j = 1 : 599997230 j = 2 : 1385 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:05:07.28 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 : 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 : 00:05:12.86 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 : 5489 p-value of test : 0.18 ----------------------------------------------- CPU time used : 00:05:22.90 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin smarsa_BirthdaySpacings test: ----------------------------------------------- N = 20, n = 20000000, r = 0, d = 2097152, t = 3, p = 1 Number of cells = d^t = 9223372036854775808 Lambda = Poisson mean = 216.8404 ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 Total observed number : 4242 p-value of test : 0.92 ----------------------------------------------- CPU time used : 00:02:26.63 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 : 7332 p-value of test : 0.44 ----------------------------------------------- CPU time used : 00:04:05.59 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin smarsa_BirthdaySpacings test: ----------------------------------------------- N = 20, n = 20000000, r = 0, d = 512, t = 7, p = 1 Number of cells = d^t = 9223372036854775808 Lambda = Poisson mean = 216.8404 ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 Total observed number : 4352 p-value of test : 0.41 ----------------------------------------------- CPU time used : 00:03:06.51 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 : 4364 p-value of test : 0.34 ----------------------------------------------- CPU time used : 00:03:15.05 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 : 7232 p-value of test : 0.84 ----------------------------------------------- CPU time used : 00:05:18.60 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 : 7202 p-value of test : 0.91 ----------------------------------------------- CPU time used : 00:05:19.50 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin smarsa_BirthdaySpacings test: ----------------------------------------------- N = 20, n = 30000000, r = 0, d = 16, t = 16, p = 1 Number of cells = d^t = 18446744073709551616 Lambda = Poisson mean = 365.9182 ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 Total observed number : 7277 p-value of test : 0.68 ----------------------------------------------- CPU time used : 00:07:17.42 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 : 7237 p-value of test : 0.83 ----------------------------------------------- CPU time used : 00:07:38.05 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) : 0.40 p-value of test : 0.85 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) : 0.98 p-value of test : 0.37 Test on the Nm values of W_{n,i}(mNP1): 0.71 p-value of test : 0.55 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 900 Number of jumps of Y : 881 p-value of test : 0.73 Stat. AD (mNP2) : 0.48 p-value of test : 0.77 Stat. AD after spacings (mNP2-S) : 1.78 p-value of test : 0.12 ----------------------------------------------- CPU time used : 00:04:06.90 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) : 1.02 p-value of test : 0.34 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) : 0.75 p-value of test : 0.52 Test on the Nm values of W_{n,i}(mNP1): 0.64 p-value of test : 0.61 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 600 Number of jumps of Y : 587 p-value of test : 0.69 Stat. AD (mNP2) : 0.98 p-value of test : 0.37 Stat. AD after spacings (mNP2-S) : 0.92 p-value of test : 0.40 ----------------------------------------------- CPU time used : 00:02:33.84 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) : 1.57 p-value of test : 0.16 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) : 0.63 p-value of test : 0.61 Test on the Nm values of W_{n,i}(mNP1): 0.92 p-value of test : 0.40 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 300 Number of jumps of Y : 291 p-value of test : 0.69 Stat. AD (mNP2) : 0.95 p-value of test : 0.38 Stat. AD after spacings (mNP2-S) : 0.43 p-value of test : 0.82 ----------------------------------------------- CPU time used : 00:03:46.05 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) : 0.67 p-value of test : 0.58 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) : 0.54 p-value of test : 0.70 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 : 150 Number of jumps of Y : 143 p-value of test : 0.70 Stat. AD (mNP2) : 0.81 p-value of test : 0.48 Stat. AD after spacings (mNP2-S) : 1.24 p-value of test : 0.25 ----------------------------------------------- CPU time used : 00:04:03.67 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sknuth_SimpPoker test: ----------------------------------------------- N = 1, n = 400000000, r = 0, d = 8, k = 8 ----------------------------------------------- Number of degrees of freedom : 7 Chi-square statistic : 7.21 p-value of test : 0.41 ----------------------------------------------- CPU time used : 00:01:55.31 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 : 6.04 p-value of test : 0.54 ----------------------------------------------- CPU time used : 00:02:21.25 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 : 13.15 p-value of test : 0.78 ----------------------------------------------- CPU time used : 00:01:56.88 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 : 10.91 p-value of test : 0.90 ----------------------------------------------- CPU time used : 00:02:15.86 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 : 61.03 p-value of test : 0.24 ----------------------------------------------- CPU time used : 00:02:41.78 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 : 35.96 p-value of test : 0.97 ----------------------------------------------- CPU time used : 00:03:02.14 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 : 31.41 p-value of test : 0.9941 ----------------------------------------------- CPU time used : 00:03:01.73 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sknuth_CouponCollector test: ----------------------------------------------- N = 1, n = 200000000, r = 27, d = 8 ----------------------------------------------- Number of degrees of freedom : 54 Chi-square statistic : 45.74 p-value of test : 0.78 ----------------------------------------------- CPU time used : 00:03:01.34 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 : 220.31 p-value of test : 0.70 ----------------------------------------------- CPU time used : 00:03:17.55 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 : 404.19 p-value of test : 0.84 ----------------------------------------------- CPU time used : 00:04:43.76 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 : 1477.09 p-value of test : 0.23 ----------------------------------------------- CPU time used : 00:04:57.80 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 : 6901.61 p-value of test : 0.89 ----------------------------------------------- CPU time used : 00:04:54.89 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sknuth_Run test: ----------------------------------------------- N = 5, n = 1000000000, r = 0, Up = FALSE ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.16 p-value of test : 0.71 Kolmogorov-Smirnov- statistic = D- : 0.37 p-value of test : 0.20 Anderson-Darling statistic = A2 : 0.67 p-value of test : 0.58 Test on the sum of all N observations Number of degrees of freedom : 30 Chi-square statistic : 32.22 p-value of test : 0.36 ----------------------------------------------- CPU time used : 00:02:31.64 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sknuth_Run test: ----------------------------------------------- N = 10, n = 1000000000, r = 15, Up = TRUE ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.27 p-value of test : 0.19 Kolmogorov-Smirnov- statistic = D- : 0.21 p-value of test : 0.37 Anderson-Darling statistic = A2 : 2.41 p-value of test : 0.06 Test on the sum of all N observations Number of degrees of freedom : 60 Chi-square statistic : 57.78 p-value of test : 0.56 ----------------------------------------------- CPU time used : 00:05:59.47 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 : 5.72 p-value of test : 0.33 ----------------------------------------------- CPU time used : 00:01:51.53 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 : 122.05 p-value of test : 0.41 ----------------------------------------------- CPU time used : 00:03:11.43 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 : 4962.40 p-value of test : 0.78 ----------------------------------------------- CPU time used : 00:02:22.93 Generator state: N/A *********************************************************** Test sknuth_Permutation calling smultin_Multinomial *********************************************************** HOST = tallinn, Linux stdin smultin_Multinomial test: ----------------------------------------------- N = 1, n = 500000000, r = 10, t = 10, Sparse = FALSE GenerCell = smultin_GenerCellPermut Number of cells = t! = 3628800 Expected number per cell = 137.7866 Hashing = FALSE For Delta > -1, we use the ChiSquare approximation Correction factor of the ChiSquare: Delta = 1, Mu = 0.0036287993, Sigma = 1 ----------------------------------------------- Test Results for Delta = 1.0000 Number of degrees of freedom : 3628799 Value of the statistic : 3.63e+6 p-value of test : 0.09 ----------------------------------------------- CPU time used : 00:04:10.56 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 : 46065 p-value of test : 0.19 ----------------------------- Total number of cells containing j balls j = 0 : 1743165870065 j = 1 : 399907872 j = 2 : 46061 j = 3 : 2 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:05:28.12 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 : 45776 p-value of test : 0.68 ----------------------------- Total number of cells containing j balls j = 0 : 1743165869776 j = 1 : 399908452 j = 2 : 45768 j = 3 : 4 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:05:39.51 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+ : 0.053 p-value of test : 0.77 Kolmogorov-Smirnov- statistic = D- : 0.15 p-value of test : 0.16 Anderson-Darling statistic = A2 : 0.94 p-value of test : 0.39 Test on the sum of all N observations Number of degrees of freedom : 3999960 Chi-square statistic : 4.00e+6 p-value of test : 0.19 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.063 p-value of test : 0.70 Kolmogorov-Smirnov- statistic = D- : 0.11 p-value of test : 0.36 Anderson-Darling statistic = A2 : 0.31 p-value of test : 0.93 ----------------------------------------------- CPU time used : 00:04:43.80 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+ : 0.18 p-value of test : 0.12 Kolmogorov-Smirnov- statistic = D- : 0.046 p-value of test : 0.85 Anderson-Darling statistic = A2 : 1.48 p-value of test : 0.18 Test on the sum of all N observations Number of degrees of freedom : 2999970 Chi-square statistic : 3.00e+6 p-value of test : 0.90 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.10 p-value of test : 0.49 Kolmogorov-Smirnov- statistic = D- : 0.076 p-value of test : 0.67 Anderson-Darling statistic = A2 : 0.53 p-value of test : 0.72 ----------------------------------------------- CPU time used : 00:04:34.50 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+ : 0.090 p-value of test : 0.69 Kolmogorov-Smirnov- statistic = D- : 0.16 p-value of test : 0.31 Anderson-Darling statistic = A2 : 0.43 p-value of test : 0.82 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 p-value of test : 0.29 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.082 p-value of test : 0.72 Kolmogorov-Smirnov- statistic = D- : 0.17 p-value of test : 0.28 Anderson-Darling statistic = A2 : 0.60 p-value of test : 0.64 ----------------------------------------------- CPU time used : 00:03:46.32 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+ : 0.15 p-value of test : 0.39 Kolmogorov-Smirnov- statistic = D- : 0.054 p-value of test : 0.86 Anderson-Darling statistic = A2 : 0.84 p-value of test : 0.45 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 p-value of test : 0.86 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.10 p-value of test : 0.62 Kolmogorov-Smirnov- statistic = D- : 0.13 p-value of test : 0.45 Anderson-Darling statistic = A2 : 0.43 p-value of test : 0.82 ----------------------------------------------- CPU time used : 00:04:20.59 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 : 0.11 Kolmogorov-Smirnov- statistic = D- : 0.049 p-value of test : 0.80 Anderson-Darling statistic = A2 : 1.10 p-value of test : 0.31 ----------------------------------------------- CPU time used : 00:03:31.06 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleProd test: ----------------------------------------------- N = 20, n = 10000000, r = 0, t = 16 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.11 p-value of test : 0.57 Kolmogorov-Smirnov- statistic = D- : 0.19 p-value of test : 0.22 Anderson-Darling statistic = A2 : 0.51 p-value of test : 0.74 ----------------------------------------------- CPU time used : 00:02:43.95 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleProd test: ----------------------------------------------- N = 20, n = 10000000, r = 0, t = 24 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.13 p-value of test : 0.48 Kolmogorov-Smirnov- statistic = D- : 0.15 p-value of test : 0.35 Anderson-Darling statistic = A2 : 0.62 p-value of test : 0.63 ----------------------------------------------- CPU time used : 00:03:40.17 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleMean test: ----------------------------------------------- N = 20000000, n = 30, r = 0 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 2.08e-4 p-value of test : 0.18 Kolmogorov-Smirnov- statistic = D- : 1.62e-4 p-value of test : 0.35 Anderson-Darling statistic = A2 : 1.13 p-value of test : 0.29 ----------------------------------------------- CPU time used : 00:00:48.04 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleMean test: ----------------------------------------------- N = 20000000, n = 30, r = 10 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 7.35e-5 p-value of test : 0.81 Kolmogorov-Smirnov- statistic = D- : 2.66e-4 p-value of test : 0.06 Anderson-Darling statistic = A2 : 1.38 p-value of test : 0.21 ----------------------------------------------- CPU time used : 00:00:51.26 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleCorr test: ----------------------------------------------- N = 1, n = 2000000000, r = 0, k = 1 ----------------------------------------------- Normal statistic : -0.48 p-value of test : 0.68 ----------------------------------------------- CPU time used : 00:00:52.97 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleCorr test: ----------------------------------------------- N = 1, n = 2000000000, r = 0, k = 2 ----------------------------------------------- Normal statistic : 0.44 p-value of test : 0.33 ----------------------------------------------- CPU time used : 00:00:52.89 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 : -0.48 p-value of test : 0.68 ----------------------------------------------- CPU time used : 00:02:48.31 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_AppearanceSpacings test: ----------------------------------------------- N = 1, Q = 10000000, K = 1000000000, r = 27, s = 3, L = 15 Sequences of n = (K + Q)L = 15150000000 bits Q = 10000000 initialization blocks K = 1000000000 blocks for the test the blocks have L = 15 bits ----------------------------------------------- Normal statistic : -1.81 p-value of test : 0.97 ----------------------------------------------- CPU time used : 00:02:49.20 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 : 83.36 p-value of test : 0.09 ----------------------------------------------- CPU time used : 00:02:07.04 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 : 73.96 p-value of test : 0.26 ----------------------------------------------- CPU time used : 00:02:26.42 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 : 88.76 p-value of test : 0.04 ----------------------------------------------- CPU time used : 00:02:24.97 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 : 38.31 p-value of test : 0.41 ----------------------------------------------- CPU time used : 00:02:05.46 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 : 35.33 p-value of test : 0.55 ----------------------------------------------- CPU time used : 00:02:25.06 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 : 58.01 p-value of test : 0.02 ----------------------------------------------- CPU time used : 00:02:24.45 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 : 22.17 p-value of test : 0.81 ----------------------------------------------- CPU time used : 00:04:08.44 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+ : 0.45 p-value of test : 0.01 Kolmogorov-Smirnov- statistic = D- : 0.056 p-value of test : 0.91 Anderson-Darling statistic = A2 : 2.02 p-value of test : 0.09 Test on the sum of all N observations Number of degrees of freedom : 40 Chi-square statistic : 27.70 p-value of test : 0.93 ----------------------------------------------- CPU time used : 00:01:56.22 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+ : 0.28 p-value of test : 0.18 Kolmogorov-Smirnov- statistic = D- : 0.061 p-value of test : 0.90 Anderson-Darling statistic = A2 : 1.33 p-value of test : 0.22 Test on the sum of all N observations Number of degrees of freedom : 40 Chi-square statistic : 26.84 p-value of test : 0.94 ----------------------------------------------- CPU time used : 00:01:52.68 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 : 3.74 p-value of test : 0.29 ----------------------------------------------- CPU time used : 00:02:42.75 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 5000, r = 26, s = 4, L = 1000, k = 1000 ----------------------------------------------- Number of degrees of freedom : 3 Chi-square statistic : 4.98 p-value of test : 0.17 ----------------------------------------------- CPU time used : 00:02:50.10 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 : 0.080 p-value of test : 0.96 ----------------------------------------------- CPU time used : 00:02:43.67 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 : 1.93 p-value of test : 0.38 ----------------------------------------------- CPU time used : 00:01:56.34 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+ : 0.14 p-value of test : 0.62 Kolmogorov-Smirnov- statistic = D- : 0.21 p-value of test : 0.36 Anderson-Darling statistic = A2 : 0.56 p-value of test : 0.68 Test on the sum of all N observations Number of degrees of freedom : 130 Chi-square statistic : 140.79 p-value of test : 0.24 ----------------------------------------------- CPU time used : 00:01:29.44 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+ : 0.078 p-value of test : 0.85 Kolmogorov-Smirnov- statistic = D- : 0.21 p-value of test : 0.37 Anderson-Darling statistic = A2 : 0.44 p-value of test : 0.80 Test on the sum of all N observations Number of degrees of freedom : 17430 Chi-square statistic :17524.94 p-value of test : 0.30 ----------------------------------------------- CPU time used : 00:02:02.43 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 : 30.73 p-value of test : 0.72 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 ChiSquare statistic : 29.39 p-value of test : 0.74 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 ChiSquare statistic : 27.94 p-value of test : 0.31 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 ChiSquare statistic : 17.15 p-value of test : 0.84 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 ChiSquare statistic : 18.73 p-value of test : 0.34 ----------------------------------------------- CPU time used : 00:01:14.70 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 : 39.98 p-value of test : 0.30 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 ChiSquare statistic : 41.01 p-value of test : 0.22 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 ChiSquare statistic : 18.99 p-value of test : 0.80 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 ChiSquare statistic : 24.18 p-value of test : 0.45 ----------------------------------------------- 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 : 00:01:15.68 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 : 134.41 p-value of test : 0.74 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 ChiSquare statistic : 162.62 p-value of test : 0.16 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 ChiSquare statistic : 473.40 p-value of test : 0.80 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 ChiSquare statistic : 149.68 p-value of test : 0.20 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 ChiSquare statistic : 82.27 p-value of test : 0.24 ----------------------------------------------- CPU time used : 00:01:27.95 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 : 115.77 p-value of test : 0.97 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 ChiSquare statistic : 140.77 p-value of test : 0.61 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 ChiSquare statistic : 508.60 p-value of test : 0.39 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 ChiSquare statistic : 135.99 p-value of test : 0.48 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 ChiSquare statistic : 80.35 p-value of test : 0.29 ----------------------------------------------- CPU time used : 00:01:27.44 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 : 408.11 p-value of test : 0.19 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 ChiSquare statistic : 379.73 p-value of test : 0.55 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 ChiSquare statistic : 4973.04 p-value of test : 0.60 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 ChiSquare statistic : 439.26 p-value of test : 0.02 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 ChiSquare statistic : 203.20 p-value of test : 0.42 ----------------------------------------------- CPU time used : 00:01:30.29 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 : 387.81 p-value of test : 0.44 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 ChiSquare statistic : 366.76 p-value of test : 0.73 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 ChiSquare statistic : 4899.83 p-value of test : 0.84 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 ChiSquare statistic : 403.90 p-value of test : 0.17 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 ChiSquare statistic : 191.58 p-value of test : 0.65 ----------------------------------------------- CPU time used : 00:01:29.52 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 : 15.13 p-value of test : 0.23 ----------------------------------------------- Normal statistic for number of jumps : -402.16 p-value of test : 1 - eps1 ***** ----------------------------------------------- CPU time used : 00:00:11.00 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 : 17.23 p-value of test : 0.14 ----------------------------------------------- Normal statistic for number of jumps : -402.42 p-value of test : 1 - eps1 ***** ----------------------------------------------- CPU time used : 00:00:10.63 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+ : 0.095 p-value of test : 0.78 Kolmogorov-Smirnov- statistic = D- : 0.23 p-value of test : 0.31 Anderson-Darling statistic = A2 : 0.38 p-value of test : 0.87 Tests on the sum of all N observations Standardized normal statistic : 0.46 p-value of test : 0.32 Sample variance : 0.74 p-value of test : 0.67 ----------------------------------------------- CPU time used : 00:01:21.76 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+ : 0.26 p-value of test : 0.22 Kolmogorov-Smirnov- statistic = D- : 0.12 p-value of test : 0.69 Anderson-Darling statistic = A2 : 0.88 p-value of test : 0.43 Tests on the sum of all N observations Standardized normal statistic : -0.79 p-value of test : 0.79 Sample variance : 0.48 p-value of test : 0.89 ----------------------------------------------- CPU time used : 00:01:21.62 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+ : 8.93e-3 p-value of test : 0.52 Kolmogorov-Smirnov- statistic = D- : 0.010 p-value of test : 0.42 Anderson-Darling statistic = A2 : 0.42 p-value of test : 0.83 ----------------------------------------------- CPU time used : 00:00:59.86 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+ : 0.013 p-value of test : 0.24 Kolmogorov-Smirnov- statistic = D- : 2.66e-3 p-value of test : 0.94 Anderson-Darling statistic = A2 : 1.20 p-value of test : 0.27 ----------------------------------------------- CPU time used : 00:00:59.51 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 : 5.22 p-value of test : 0.73 ----------------------------------------------- Global longest run of 1 : 31.00 p-value of test : 0.69 ----------------------------------------------- CPU time used : 00:02:12.52 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_LongestHeadRun test: ----------------------------------------------- N = 1, n = 1000, r = 27, s = 3, L = 10000020 ----------------------------------------------- Number of degrees of freedom : 8 Chi-square statistic : 8.63 p-value of test : 0.37 ----------------------------------------------- Global longest run of 1 : 31.00 p-value of test : 0.69 ----------------------------------------------- CPU time used : 00:02:14.70 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_PeriodsInStrings test: ----------------------------------------------- N = 10, n = 500000000, r = 0, s = 10 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.16 p-value of test : 0.55 Kolmogorov-Smirnov- statistic = D- : 0.14 p-value of test : 0.61 Anderson-Darling statistic = A2 : 0.41 p-value of test : 0.84 Test on the sum of all N observations Number of degrees of freedom : 200 Chi-square statistic : 191.20 p-value of test : 0.66 ----------------------------------------------- CPU time used : 00:04:34.27 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_PeriodsInStrings test: ----------------------------------------------- N = 10, n = 500000000, r = 20, s = 10 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.16 p-value of test : 0.56 Kolmogorov-Smirnov- statistic = D- : 0.24 p-value of test : 0.26 Anderson-Darling statistic = A2 : 0.70 p-value of test : 0.56 Test on the sum of all N observations Number of degrees of freedom : 200 Chi-square statistic : 205.08 p-value of test : 0.39 ----------------------------------------------- CPU time used : 00:04:47.45 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+ : 0.26 p-value of test : 0.22 Kolmogorov-Smirnov- statistic = D- : 0.16 p-value of test : 0.54 Anderson-Darling statistic = A2 : 0.82 p-value of test : 0.46 Test on the sum of all N observations Number of degrees of freedom : 10000 Chi-square statistic : 9947.11 p-value of test : 0.64 ----------------------------------------------- CPU time used : 00:01:27.29 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+ : 0.26 p-value of test : 0.23 Kolmogorov-Smirnov- statistic = D- : 0.11 p-value of test : 0.74 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 : 10000 Chi-square statistic : 9850.65 p-value of test : 0.85 ----------------------------------------------- CPU time used : 00:01:30.43 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 1000000000, r = 10, s = 10, L = 30 ----------------------------------------------- Normal statistic : 0.54 p-value of test : 0.29 ----------------------------------------------- CPU time used : 00:01:54.25 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 100000000, r = 10, s = 10, L = 300 ----------------------------------------------- Normal statistic : -1.21 p-value of test : 0.89 ----------------------------------------------- CPU time used : 00:01:46.29 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 100000000, r = 10, s = 10, L = 1200 ----------------------------------------------- Normal statistic : -0.093 p-value of test : 0.54 ----------------------------------------------- CPU time used : 00:06:58.63 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+ : 0.11 p-value of test : 0.75 Kolmogorov-Smirnov- statistic = D- : 0.20 p-value of test : 0.41 Anderson-Darling statistic = A2 : 0.64 p-value of test : 0.61 Test on the sum of all N observations Number of degrees of freedom : 4890 Chi-square statistic : 4969.24 p-value of test : 0.21 ----------------------------------------------- CPU time used : 00:02:54.95 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+ : 0.15 p-value of test : 0.60 Kolmogorov-Smirnov- statistic = D- : 0.18 p-value of test : 0.45 Anderson-Darling statistic = A2 : 0.41 p-value of test : 0.84 Test on the sum of all N observations Number of degrees of freedom : 4890 Chi-square statistic : 4915.44 p-value of test : 0.40 ----------------------------------------------- CPU time used : 00:02:57.06 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 : 4300.79 p-value of test : 0.02 ----------------------------------------------- CPU time used : 00:02:08.93 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 : 3968.95 p-value of test : 0.95 ----------------------------------------------- CPU time used : 00:02:11.84 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 :11709.09 p-value of test : 0.77 ----------------------------------------------- CPU time used : 00:02:22.27 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 :11961.78 p-value of test : 0.19 ----------------------------------------------- CPU time used : 00:02:23.72 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 : 45.19 p-value of test : 0.80 ----------------------------------------------- Total number of bits: 7999996620 Normal statistic for number of bits : -0.027 p-value of test : 0.51 ----------------------------------------------- CPU time used : 00:01:59.63 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 : 74.37 p-value of test : 0.03 ----------------------------------------------- Total number of bits: 7999924200 Normal statistic for number of bits : -0.60 p-value of test : 0.73 ----------------------------------------------- CPU time used : 00:01:53.29 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+ : 0.052 p-value of test : 0.92 Kolmogorov-Smirnov- statistic = D- : 0.38 p-value of test : 0.04 Anderson-Darling statistic = A2 : 1.19 p-value of test : 0.27 Tests on the sum of all N observations Standardized normal statistic : 1.16 p-value of test : 0.12 Sample variance : 1.15 p-value of test : 0.32 ----------------------------------------------- CPU time used : 00:03:33.97 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+ : 0.13 p-value of test : 0.66 Kolmogorov-Smirnov- statistic = D- : 0.18 p-value of test : 0.49 Anderson-Darling statistic = A2 : 0.39 p-value of test : 0.85 Tests on the sum of all N observations Standardized normal statistic : 0.31 p-value of test : 0.38 Sample variance : 1.45 p-value of test : 0.16 ----------------------------------------------- CPU time used : 00:03:17.31 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+ : 0.42 p-value of test : 0.02 Kolmogorov-Smirnov- statistic = D- : 0.090 p-value of test : 0.81 Anderson-Darling statistic = A2 : 3.91 p-value of test : 0.01 Tests on the sum of all N observations Standardized normal statistic : -2.27 p-value of test : 0.99 Sample variance : 1.96 p-value of test : 0.04 ----------------------------------------------- CPU time used : 00:03:25.43 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- : 0.18 p-value of test : 0.48 Anderson-Darling statistic = A2 : 0.32 p-value of test : 0.92 Tests on the sum of all N observations Standardized normal statistic : 0.47 p-value of test : 0.32 Sample variance : 1.03 p-value of test : 0.42 ----------------------------------------------- CPU time used : 00:03:08.47 Generator state: N/A ========= Summary results of BigCrush ========= Version: TestU01 1.2.3 Generator: stdin Number of statistics: 160 Total CPU time: 05:26:46.45 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 02:19:16 # # Exit value: 0 # Bytes used: 1428425433088 >= 2^40 (1.4 TB) # # Test duration: 380.54879913633334 minutes #