# # RandomSource: JSF_32 # RNG: org.apache.commons.rng.core.source32.JenkinsSmallFast32 # Seed: 7dd1aaeb # # Java: 1.8.0_202 # Runtime: Java(TM) SE Runtime Environment (build 1.8.0_202-b08) # JVM: Java HotSpot(TM) 64-Bit Server VM (build 25.202-b08, mixed mode) # OS: Linux 3.13.0-91-generic amd64 # Native byte-order: LITTLE_ENDIAN # Output byte-order: LITTLE_ENDIAN # # Analyzer: /home/ah403/git/commons-rng/commons-rng-examples/examples-stress/stdin2testu01 BigCrush # # Start: 2019-10-10 16:43:45 # 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 : 0.31 ----------------------------------------------- CPU time used : 00:02:05.65 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 : 0.40 ----------------------------------------------- CPU time used : 00:02:13.95 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 : 1393 p-value of test : 0.22 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334513 j = 1 : 599997214 j = 2 : 1393 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:03:36.74 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 : 1401 p-value of test : 0.16 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334521 j = 1 : 599997198 j = 2 : 1401 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:03:49.66 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 : 1318 p-value of test : 0.89 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334438 j = 1 : 599997364 j = 2 : 1318 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:04:37.28 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 : 1378 p-value of test : 0.36 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334498 j = 1 : 599997244 j = 2 : 1378 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:04:52.39 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 : 1389 p-value of test : 0.25 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334509 j = 1 : 599997222 j = 2 : 1389 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:04:59.23 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 : 1371 p-value of test : 0.43 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334491 j = 1 : 599997258 j = 2 : 1371 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:05:06.72 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 : 1334 p-value of test : 0.79 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334454 j = 1 : 599997332 j = 2 : 1334 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:05:08.78 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 : 1393 p-value of test : 0.22 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334513 j = 1 : 599997214 j = 2 : 1393 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:05:10.86 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 : 1381 p-value of test : 0.33 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334501 j = 1 : 599997238 j = 2 : 1381 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:04:56.34 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 : 1440 p-value of test : 0.02 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334560 j = 1 : 599997120 j = 2 : 1440 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:05:03.15 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 : 5394 p-value of test : 0.64 ----------------------------------------------- CPU time used : 00:05:22.73 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 : 4393 p-value of test : 0.20 ----------------------------------------------- CPU time used : 00:02:20.86 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 : 7411 p-value of test : 0.14 ----------------------------------------------- CPU time used : 00:03:56.38 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 : 4341 p-value of test : 0.48 ----------------------------------------------- CPU time used : 00:02:58.17 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 : 4369 p-value of test : 0.31 ----------------------------------------------- CPU time used : 00:03:05.88 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin smarsa_BirthdaySpacings test: ----------------------------------------------- N = 20, n = 30000000, r = 14, d = 256, t = 8, p = 1 Number of cells = d^t = 18446744073709551616 Lambda = Poisson mean = 365.9182 ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 Total observed number : 7411 p-value of test : 0.14 ----------------------------------------------- CPU time used : 00:05:02.43 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 : 7149 p-value of test : 0.98 ----------------------------------------------- CPU time used : 00:05:04.52 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 : 00:06:42.50 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 : 7355 p-value of test : 0.34 ----------------------------------------------- CPU time used : 00:07:00.09 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) : 0.72 p-value of test : 0.54 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) : 0.32 p-value of test : 0.92 Test on the Nm values of W_{n,i}(mNP1): 0.42 p-value of test : 0.83 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 900 Number of jumps of Y : 904 p-value of test : 0.45 Stat. AD (mNP2) : 1.40 p-value of test : 0.20 Stat. AD after spacings (mNP2-S) : 2.19 p-value of test : 0.07 ----------------------------------------------- CPU time used : 00:03:48.07 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) : 0.59 p-value of test : 0.65 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) : 1.71 p-value of test : 0.13 Test on the Nm values of W_{n,i}(mNP1): 0.48 p-value of test : 0.77 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 600 Number of jumps of Y : 605 p-value of test : 0.42 Stat. AD (mNP2) : 0.35 p-value of test : 0.90 Stat. AD after spacings (mNP2-S) : 1.99 p-value of test : 0.09 ----------------------------------------------- CPU time used : 00:02:25.00 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin snpair_ClosePairs test: ----------------------------------------------- N = 10, n = 3000000, r = 0, t = 9, p = 0, m = 30, Torus = TRUE --------------------------------------- Test based on the 2 nearest points (NP): Stat. AD on the N values (NP) : 0.74 p-value of test : 0.52 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): 0.43 p-value of test : 0.82 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 300 Number of jumps of Y : 301 p-value of test : 0.48 Stat. AD (mNP2) : 0.59 p-value of test : 0.66 Stat. AD after spacings (mNP2-S) : 1.55 p-value of test : 0.17 ----------------------------------------------- CPU time used : 00:03:47.97 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) : 2.37 p-value of test : 0.06 A2 test based on the spacings between the successive jump times of process Y_n(t): A2 test on the values of A2 (m-NP) : 0.76 p-value of test : 0.50 Test on the Nm values of W_{n,i}(mNP1): 1.39 p-value of test : 0.21 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) : 0.41 p-value of test : 0.84 Stat. AD after spacings (mNP2-S) : 0.68 p-value of test : 0.58 ----------------------------------------------- CPU time used : 00:04:07.32 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 : 9.37 p-value of test : 0.23 ----------------------------------------------- CPU time used : 00:01:35.06 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 : 6.32 p-value of test : 0.50 ----------------------------------------------- CPU time used : 00:02:01.89 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sknuth_SimpPoker test: ----------------------------------------------- N = 1, n = 100000000, r = 0, d = 32, k = 32 ----------------------------------------------- Number of degrees of freedom : 18 Chi-square statistic : 29.25 p-value of test : 0.05 ----------------------------------------------- CPU time used : 00:01:35.42 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 : 17.69 p-value of test : 0.48 ----------------------------------------------- CPU time used : 00:02:00.18 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 : 65.48 p-value of test : 0.14 ----------------------------------------------- CPU time used : 00:02:09.52 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 : 28.97 p-value of test : 0.9979 ----------------------------------------------- CPU time used : 00:02:32.19 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 : 44.30 p-value of test : 0.82 ----------------------------------------------- CPU time used : 00:02:30.44 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 : 62.38 p-value of test : 0.20 ----------------------------------------------- CPU time used : 00:02:32.43 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 : 304.37 p-value of test : 9.9e-4 ***** ----------------------------------------------- CPU time used : 00:03:11.57 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 : 385.15 p-value of test : 0.96 ----------------------------------------------- CPU time used : 00:04:17.52 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 : 1376.05 p-value of test : 0.87 ----------------------------------------------- CPU time used : 00:05:02.21 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 : 6856.56 p-value of test : 0.95 ----------------------------------------------- CPU time used : 00:04:37.63 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sknuth_Run test: ----------------------------------------------- N = 5, n = 1000000000, r = 0, Up = FALSE ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.37 p-value of test : 0.21 Kolmogorov-Smirnov- statistic = D- : 0.031 p-value of test : 0.96 Anderson-Darling statistic = A2 : 1.08 p-value of test : 0.31 Test on the sum of all N observations Number of degrees of freedom : 30 Chi-square statistic : 20.09 p-value of test : 0.91 ----------------------------------------------- CPU time used : 00:02:27.52 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sknuth_Run test: ----------------------------------------------- N = 10, n = 1000000000, r = 15, Up = TRUE ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.011 p-value of test : 0.99 Kolmogorov-Smirnov- statistic = D- : 0.30 p-value of test : 0.14 Anderson-Darling statistic = A2 : 1.61 p-value of test : 0.15 Test on the sum of all N observations Number of degrees of freedom : 60 Chi-square statistic : 80.10 p-value of test : 0.04 ----------------------------------------------- CPU time used : 00:05:35.88 Generator state: N/A *********************************************************** Test sknuth_Permutation calling smultin_Multinomial *********************************************************** HOST = tallinn, Linux stdin smultin_Multinomial test: ----------------------------------------------- N = 1, n = 1000000000, r = 5, t = 3, Sparse = FALSE GenerCell = smultin_GenerCellPermut Number of cells = t! = 6 Expected number per cell = 1.6666667e+08 Hashing = FALSE For Delta > -1, we use the ChiSquare approximation Correction factor of the ChiSquare: Delta = 1, Mu = 2.5000002e-09, Sigma = 1 ----------------------------------------------- Test Results for Delta = 1.0000 Number of degrees of freedom : 5 Value of the statistic : 4.63 p-value of test : 0.46 ----------------------------------------------- CPU time used : 00:01:41.65 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 : 128.20 p-value of test : 0.27 ----------------------------------------------- CPU time used : 00:02:52.03 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 : 5142.53 p-value of test : 0.15 ----------------------------------------------- CPU time used : 00:02:06.32 Generator state: N/A *********************************************************** Test sknuth_Permutation calling smultin_Multinomial *********************************************************** HOST = tallinn, Linux stdin smultin_Multinomial test: ----------------------------------------------- N = 1, n = 500000000, r = 10, t = 10, Sparse = FALSE GenerCell = smultin_GenerCellPermut Number of cells = t! = 3628800 Expected number per cell = 137.7866 Hashing = FALSE For Delta > -1, we use the ChiSquare approximation Correction factor of the ChiSquare: Delta = 1, Mu = 0.0036287993, Sigma = 1 ----------------------------------------------- Test Results for Delta = 1.0000 Number of degrees of freedom : 3628799 Value of the statistic : 3.62e+6 p-value of test : 0.93 ----------------------------------------------- CPU time used : 00:03:41.79 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 : 46127 p-value of test : 0.12 ----------------------------- Total number of cells containing j balls j = 0 : 1743165870127 j = 1 : 399907747 j = 2 : 46125 j = 3 : 1 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:05:01.95 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 : 46200 p-value of test : 0.07 ----------------------------- Total number of cells containing j balls j = 0 : 1743165870200 j = 1 : 399907603 j = 2 : 46194 j = 3 : 3 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:05:13.78 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+ : 0.16 p-value of test : 0.11 Kolmogorov-Smirnov- statistic = D- : 0.030 p-value of test : 0.91 Anderson-Darling statistic = A2 : 1.39 p-value of test : 0.20 Test on the sum of all N observations Number of degrees of freedom : 3999960 Chi-square statistic : 4.00e+6 p-value of test : 0.91 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.11 p-value of test : 0.32 Kolmogorov-Smirnov- statistic = D- : 0.073 p-value of test : 0.62 Anderson-Darling statistic = A2 : 0.57 p-value of test : 0.67 ----------------------------------------------- CPU time used : 00:04:07.61 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+ : 0.15 p-value of test : 0.22 Kolmogorov-Smirnov- statistic = D- : 0.049 p-value of test : 0.84 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 : 2999970 Chi-square statistic : 3.00e+6 p-value of test : 0.83 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.059 p-value of test : 0.78 Kolmogorov-Smirnov- statistic = D- : 0.13 p-value of test : 0.31 Anderson-Darling statistic = A2 : 0.57 p-value of test : 0.67 ----------------------------------------------- CPU time used : 00:03:57.04 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+ : 0.18 p-value of test : 0.23 Kolmogorov-Smirnov- statistic = D- : 0.067 p-value of test : 0.80 Anderson-Darling statistic = A2 : 1.14 p-value of test : 0.29 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 p-value of test : 0.89 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.043 p-value of test : 0.91 Kolmogorov-Smirnov- statistic = D- : 0.30 p-value of test : 0.02 Anderson-Darling statistic = A2 : 2.51 p-value of test : 0.05 ----------------------------------------------- CPU time used : 00:03:17.00 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+ : 0.14 p-value of test : 0.43 Kolmogorov-Smirnov- statistic = D- : 0.15 p-value of test : 0.36 Anderson-Darling statistic = A2 : 0.68 p-value of test : 0.58 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 p-value of test : 0.36 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.19 p-value of test : 0.20 Kolmogorov-Smirnov- statistic = D- : 0.17 p-value of test : 0.28 Anderson-Darling statistic = A2 : 1.11 p-value of test : 0.30 ----------------------------------------------- CPU time used : 00:03:49.89 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleProd test: ----------------------------------------------- N = 40, n = 10000000, r = 0, t = 8 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.065 p-value of test : 0.68 Kolmogorov-Smirnov- statistic = D- : 0.094 p-value of test : 0.46 Anderson-Darling statistic = A2 : 0.43 p-value of test : 0.82 ----------------------------------------------- CPU time used : 00:03:25.59 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleProd test: ----------------------------------------------- N = 20, n = 10000000, r = 0, t = 16 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.18 p-value of test : 0.26 Kolmogorov-Smirnov- statistic = D- : 0.044 p-value of test : 0.90 Anderson-Darling statistic = A2 : 1.06 p-value of test : 0.32 ----------------------------------------------- CPU time used : 00:02:39.67 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleProd test: ----------------------------------------------- N = 20, n = 10000000, r = 0, t = 24 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.093 p-value of test : 0.67 Kolmogorov-Smirnov- statistic = D- : 0.11 p-value of test : 0.56 Anderson-Darling statistic = A2 : 0.36 p-value of test : 0.89 ----------------------------------------------- CPU time used : 00:03:29.29 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleMean test: ----------------------------------------------- N = 20000000, n = 30, r = 0 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 9.97e-5 p-value of test : 0.67 Kolmogorov-Smirnov- statistic = D- : 2.06e-4 p-value of test : 0.18 Anderson-Darling statistic = A2 : 0.49 p-value of test : 0.76 ----------------------------------------------- CPU time used : 00:00:44.44 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleMean test: ----------------------------------------------- N = 20000000, n = 30, r = 10 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 7.31e-5 p-value of test : 0.81 Kolmogorov-Smirnov- statistic = D- : 1.85e-4 p-value of test : 0.25 Anderson-Darling statistic = A2 : 1.24 p-value of test : 0.25 ----------------------------------------------- CPU time used : 00:00:48.97 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleCorr test: ----------------------------------------------- N = 1, n = 2000000000, r = 0, k = 1 ----------------------------------------------- Normal statistic : -0.20 p-value of test : 0.58 ----------------------------------------------- CPU time used : 00:00:50.54 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleCorr test: ----------------------------------------------- N = 1, n = 2000000000, r = 0, k = 2 ----------------------------------------------- Normal statistic : 1.29 p-value of test : 0.10 ----------------------------------------------- CPU time used : 00:00:51.78 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 : 0.69 p-value of test : 0.25 ----------------------------------------------- CPU time used : 00:02:38.00 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 : -0.10 p-value of test : 0.54 ----------------------------------------------- CPU time used : 00:02:39.54 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 : 73.97 p-value of test : 0.26 ----------------------------------------------- CPU time used : 00:02:01.27 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 : 56.24 p-value of test : 0.82 ----------------------------------------------- CPU time used : 00:02:15.54 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 : 50.35 p-value of test : 0.94 ----------------------------------------------- CPU time used : 00:02:25.20 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 : 48.19 p-value of test : 0.10 ----------------------------------------------- CPU time used : 00:02:01.45 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 : 34.33 p-value of test : 0.59 ----------------------------------------------- CPU time used : 00:02:16.70 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 : 29.99 p-value of test : 0.79 ----------------------------------------------- CPU time used : 00:02:17.60 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 : 32.97 p-value of test : 0.28 ----------------------------------------------- CPU time used : 00:04:11.25 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+ : 0.15 p-value of test : 0.59 Kolmogorov-Smirnov- statistic = D- : 0.22 p-value of test : 0.35 Anderson-Darling statistic = A2 : 0.58 p-value of test : 0.66 Test on the sum of all N observations Number of degrees of freedom : 40 Chi-square statistic : 41.93 p-value of test : 0.39 ----------------------------------------------- CPU time used : 00:01:48.27 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+ : 0.23 p-value of test : 0.29 Kolmogorov-Smirnov- statistic = D- : 0.11 p-value of test : 0.73 Anderson-Darling statistic = A2 : 0.42 p-value of test : 0.83 Test on the sum of all N observations Number of degrees of freedom : 40 Chi-square statistic : 36.81 p-value of test : 0.61 ----------------------------------------------- CPU time used : 00:01:48.96 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 : 1.97 p-value of test : 0.58 ----------------------------------------------- CPU time used : 00:02:44.00 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 : 2.40 p-value of test : 0.49 ----------------------------------------------- CPU time used : 00:02:39.07 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 : 0.65 p-value of test : 0.72 ----------------------------------------------- CPU time used : 00:02:34.61 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 80, r = 0, s = 30, L = 5000, k = 5000 ----------------------------------------------- Number of degrees of freedom : 2 Chi-square statistic : 0.010 p-value of test : 0.9949 ----------------------------------------------- CPU time used : 00:01:42.47 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+ : 0.079 p-value of test : 0.84 Kolmogorov-Smirnov- statistic = D- : 0.27 p-value of test : 0.19 Anderson-Darling statistic = A2 : 0.75 p-value of test : 0.52 Test on the sum of all N observations Number of degrees of freedom : 130 Chi-square statistic : 144.08 p-value of test : 0.19 ----------------------------------------------- CPU time used : 00:01:12.02 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+ : 0.23 p-value of test : 0.31 Kolmogorov-Smirnov- statistic = D- : 0.084 p-value of test : 0.83 Anderson-Darling statistic = A2 : 0.36 p-value of test : 0.89 Test on the sum of all N observations Number of degrees of freedom : 17430 Chi-square statistic :17355.95 p-value of test : 0.65 ----------------------------------------------- CPU time used : 00:01:59.53 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 : 35.74 p-value of test : 0.48 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 ChiSquare statistic : 38.56 p-value of test : 0.31 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 ChiSquare statistic : 21.10 p-value of test : 0.69 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 ChiSquare statistic : 23.78 p-value of test : 0.47 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 ChiSquare statistic : 23.70 p-value of test : 0.13 ----------------------------------------------- CPU time used : 00:01:07.59 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 : 29.28 p-value of test : 0.78 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 ChiSquare statistic : 23.52 p-value of test : 0.93 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 ChiSquare statistic : 22.44 p-value of test : 0.61 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 ChiSquare statistic : 27.98 p-value of test : 0.26 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 ChiSquare statistic : 19.02 p-value of test : 0.33 ----------------------------------------------- CPU time used : 00:01:09.18 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 : 156.00 p-value of test : 0.27 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 ChiSquare statistic : 136.19 p-value of test : 0.71 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 ChiSquare statistic : 511.83 p-value of test : 0.35 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 ChiSquare statistic : 135.30 p-value of test : 0.50 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 ChiSquare statistic : 59.69 p-value of test : 0.89 ----------------------------------------------- CPU time used : 00:01:20.36 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 : 152.25 p-value of test : 0.34 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 ChiSquare statistic : 152.44 p-value of test : 0.34 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 ChiSquare statistic : 500.51 p-value of test : 0.49 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 ChiSquare statistic : 169.38 p-value of test : 0.03 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 ChiSquare statistic : 79.82 p-value of test : 0.30 ----------------------------------------------- CPU time used : 00:01:21.47 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 : 406.39 p-value of test : 0.21 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 ChiSquare statistic : 373.68 p-value of test : 0.64 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 ChiSquare statistic : 5076.55 p-value of test : 0.22 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 ChiSquare statistic : 386.29 p-value of test : 0.37 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 ChiSquare statistic : 211.11 p-value of test : 0.28 ----------------------------------------------- CPU time used : 00:01:23.10 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 : 400.75 p-value of test : 0.27 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 ChiSquare statistic : 395.77 p-value of test : 0.33 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 ChiSquare statistic : 5005.89 p-value of test : 0.47 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 ChiSquare statistic : 371.18 p-value of test : 0.59 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 ChiSquare statistic : 172.18 p-value of test : 0.92 ----------------------------------------------- CPU time used : 00:01:24.79 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 : 17.52 p-value of test : 0.13 ----------------------------------------------- Normal statistic for number of jumps : 0.066 p-value of test : 0.47 ----------------------------------------------- CPU time used : 00:02:27.98 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 : 14.94 p-value of test : 0.24 ----------------------------------------------- Normal statistic for number of jumps : 2.27 p-value of test : 0.01 ----------------------------------------------- CPU time used : 00:02:37.21 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+ : 0.20 p-value of test : 0.41 Kolmogorov-Smirnov- statistic = D- : 0.086 p-value of test : 0.82 Anderson-Darling statistic = A2 : 0.46 p-value of test : 0.78 Tests on the sum of all N observations Standardized normal statistic : -0.53 p-value of test : 0.70 Sample variance : 0.93 p-value of test : 0.49 ----------------------------------------------- CPU time used : 00:01:24.60 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+ : 0.14 p-value of test : 0.62 Kolmogorov-Smirnov- statistic = D- : 0.24 p-value of test : 0.27 Anderson-Darling statistic = A2 : 0.67 p-value of test : 0.58 Tests on the sum of all N observations Standardized normal statistic : 0.56 p-value of test : 0.29 Sample variance : 0.62 p-value of test : 0.78 ----------------------------------------------- CPU time used : 00:01:24.21 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+ : 5.66e-3 p-value of test : 0.77 Kolmogorov-Smirnov- statistic = D- : 5.67e-3 p-value of test : 0.77 Anderson-Darling statistic = A2 : 0.14 p-value of test : 0.9994 ***** ----------------------------------------------- CPU time used : 00:00:55.31 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sspectral_Fourier3 test: ----------------------------------------------- N = 100000, n = 16384, r = 27, s = 3, k = 14 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 7.30e-3 p-value of test : 0.64 Kolmogorov-Smirnov- statistic = D- : 5.96e-3 p-value of test : 0.74 Anderson-Darling statistic = A2 : 0.27 p-value of test : 0.96 ----------------------------------------------- CPU time used : 00:00:53.81 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 : 9.75 p-value of test : 0.28 ----------------------------------------------- Global longest run of 1 : 30.00 p-value of test : 0.90 ----------------------------------------------- CPU time used : 00:01:53.88 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 : 8.76 p-value of test : 0.36 ----------------------------------------------- Global longest run of 1 : 33.00 p-value of test : 0.44 ----------------------------------------------- CPU time used : 00:01:51.07 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_PeriodsInStrings test: ----------------------------------------------- N = 10, n = 500000000, r = 0, s = 10 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.10 p-value of test : 0.75 Kolmogorov-Smirnov- statistic = D- : 0.30 p-value of test : 0.13 Anderson-Darling statistic = A2 : 1.60 p-value of test : 0.15 Test on the sum of all N observations Number of degrees of freedom : 200 Chi-square statistic : 225.89 p-value of test : 0.10 ----------------------------------------------- CPU time used : 00:03:53.42 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_PeriodsInStrings test: ----------------------------------------------- N = 10, n = 500000000, r = 20, s = 10 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.26 p-value of test : 0.22 Kolmogorov-Smirnov- statistic = D- : 0.19 p-value of test : 0.43 Anderson-Darling statistic = A2 : 1.08 p-value of test : 0.32 Test on the sum of all N observations Number of degrees of freedom : 200 Chi-square statistic : 193.03 p-value of test : 0.63 ----------------------------------------------- CPU time used : 00:04:07.82 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+ : 0.036 p-value of test : 0.95 Kolmogorov-Smirnov- statistic = D- : 0.40 p-value of test : 0.03 Anderson-Darling statistic = A2 : 2.14 p-value of test : 0.08 Test on the sum of all N observations Number of degrees of freedom : 10000 Chi-square statistic :10259.96 p-value of test : 0.03 ----------------------------------------------- CPU time used : 00:01:22.21 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+ : 0.15 p-value of test : 0.57 Kolmogorov-Smirnov- statistic = D- : 0.23 p-value of test : 0.30 Anderson-Darling statistic = A2 : 0.71 p-value of test : 0.55 Test on the sum of all N observations Number of degrees of freedom : 10000 Chi-square statistic :10084.83 p-value of test : 0.27 ----------------------------------------------- CPU time used : 00:01:25.75 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 1000000000, r = 10, s = 10, L = 30 ----------------------------------------------- Normal statistic : 1.33 p-value of test : 0.09 ----------------------------------------------- CPU time used : 00:01:44.39 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 100000000, r = 10, s = 10, L = 300 ----------------------------------------------- Normal statistic : -0.52 p-value of test : 0.70 ----------------------------------------------- CPU time used : 00:01:31.86 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 100000000, r = 10, s = 10, L = 1200 ----------------------------------------------- Normal statistic : 0.48 p-value of test : 0.32 ----------------------------------------------- CPU time used : 00:06:14.68 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+ : 0.33 p-value of test : 0.09 Kolmogorov-Smirnov- statistic = D- : 0.11 p-value of test : 0.73 Anderson-Darling statistic = A2 : 1.23 p-value of test : 0.26 Test on the sum of all N observations Number of degrees of freedom : 4890 Chi-square statistic : 4843.67 p-value of test : 0.68 ----------------------------------------------- CPU time used : 00:02:44.72 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+ : 0.20 p-value of test : 0.39 Kolmogorov-Smirnov- statistic = D- : 0.10 p-value of test : 0.76 Anderson-Darling statistic = A2 : 0.51 p-value of test : 0.73 Test on the sum of all N observations Number of degrees of freedom : 4890 Chi-square statistic : 4828.17 p-value of test : 0.73 ----------------------------------------------- CPU time used : 00:02:44.56 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 : 4093.52 p-value of test : 0.60 ----------------------------------------------- CPU time used : 00:01:55.38 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 : 4147.47 p-value of test : 0.37 ----------------------------------------------- CPU time used : 00:02:04.22 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 :11814.34 p-value of test : 0.53 ----------------------------------------------- CPU time used : 00:02:14.20 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 :11919.66 p-value of test : 0.27 ----------------------------------------------- CPU time used : 00:02:14.66 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 : 53.72 p-value of test : 0.49 ----------------------------------------------- Total number of bits: 7999998915 Normal statistic for number of bits : -8.58e-3 p-value of test : 0.50 ----------------------------------------------- CPU time used : 00:01:43.99 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 : 60.73 p-value of test : 0.25 ----------------------------------------------- Total number of bits: 8000049033 Normal statistic for number of bits : 0.39 p-value of test : 0.35 ----------------------------------------------- CPU time used : 00:01:43.49 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+ : 0.12 p-value of test : 0.71 Kolmogorov-Smirnov- statistic = D- : 0.24 p-value of test : 0.26 Anderson-Darling statistic = A2 : 0.46 p-value of test : 0.78 Tests on the sum of all N observations Standardized normal statistic : 0.31 p-value of test : 0.38 Sample variance : 0.68 p-value of test : 0.73 ----------------------------------------------- CPU time used : 00:03:14.65 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+ : 0.014 p-value of test : 0.98 Kolmogorov-Smirnov- statistic = D- : 0.33 p-value of test : 0.09 Anderson-Darling statistic = A2 : 2.90 p-value of test : 0.03 Tests on the sum of all N observations Standardized normal statistic : 2.40 p-value of test : 8.3e-3 Sample variance : 0.86 p-value of test : 0.56 ----------------------------------------------- CPU time used : 00:02:54.86 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+ : 0.12 p-value of test : 0.69 Kolmogorov-Smirnov- statistic = D- : 0.21 p-value of test : 0.35 Anderson-Darling statistic = A2 : 0.37 p-value of test : 0.87 Tests on the sum of all N observations Standardized normal statistic : 0.21 p-value of test : 0.42 Sample variance : 0.57 p-value of test : 0.83 ----------------------------------------------- CPU time used : 00:03:14.27 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+ : 0.072 p-value of test : 0.86 Kolmogorov-Smirnov- statistic = D- : 0.22 p-value of test : 0.34 Anderson-Darling statistic = A2 : 0.46 p-value of test : 0.79 Tests on the sum of all N observations Standardized normal statistic : 0.63 p-value of test : 0.26 Sample variance : 0.74 p-value of test : 0.67 ----------------------------------------------- CPU time used : 00:02:52.75 Generator state: N/A ========= Summary results of BigCrush ========= Version: TestU01 1.2.3 Generator: stdin Number of statistics: 160 Total CPU time: 05:08:44.68 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 ---------------------------------------------- 34 Gap, r = 0 9.9e-4 84 Fourier3, r = 0 0.9994 ---------------------------------------------- All other tests were passed # # End: 2019-10-10 21:58:33 # # Exit value: 0 # Bytes used: 1428440555520 >= 2^40 (1.4 TB) # # Test duration: 314.78699410705 minutes #