# # RandomSource: SFC_64 # RNG: org.apache.commons.rng.core.source64.DotyHumphreySmallFastCounting64 # Seed: a8994d96466e9e2851f0a4482b778eb5758a4fab70ab2827 # # Java: 1.8.0_202 # Runtime: Java(TM) SE Runtime Environment (build 1.8.0_202-b08) # JVM: Java HotSpot(TM) 64-Bit Server VM (build 25.202-b08, mixed mode) # OS: Linux 3.13.0-91-generic amd64 # Native byte-order: LITTLE_ENDIAN # Output byte-order: LITTLE_ENDIAN # 64-bit output: false # # Analyzer: /home/ah403/git/commons-rng/commons-rng-examples/examples-stress/stdin2testu01 BigCrush # # Start: 2019-10-10 15:49:42 # 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 : 0.33 ----------------------------------------------- CPU time used : 00:01:54.09 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 : 0.49 ----------------------------------------------- CPU time used : 00:01:59.91 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 : 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 : 00:03:18.50 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 : 1335 p-value of test : 0.78 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334455 j = 1 : 599997330 j = 2 : 1335 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:03:35.87 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 : 1353 p-value of test : 0.61 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334473 j = 1 : 599997294 j = 2 : 1353 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:04:16.73 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 : 1326 p-value of test : 0.85 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334446 j = 1 : 599997348 j = 2 : 1326 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:04:29.06 Generator state: N/A *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = tallinn, Linux stdin smultin_MultinomialOver test: ----------------------------------------------- N = 30, n = 20000000, r = 0, d = 64, t = 7, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 4398046511104 Expected number per cell = 1 / 219902.33 EColl = n^2 / (2k) = 45.47473509 Hashing = TRUE Collision test CollisionOver: density = n / k = 1 / 219902.33 Expected number of collisions = Mu = 45.47 ----------------------------------------------- Results of CollisionOver test: POISSON approximation : Expected number of collisions = N*Mu : 1364.24 Observed number of collisions : 1358 p-value of test : 0.56 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334478 j = 1 : 599997284 j = 2 : 1358 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:04:29.17 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 : 1323 p-value of test : 0.87 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334443 j = 1 : 599997354 j = 2 : 1323 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:04:32.01 Generator state: N/A *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = tallinn, Linux stdin smultin_MultinomialOver test: ----------------------------------------------- N = 30, n = 20000000, r = 0, d = 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 : 1418 p-value of test : 0.08 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334538 j = 1 : 599997164 j = 2 : 1418 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:04:28.78 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 : 1436 p-value of test : 0.03 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334556 j = 1 : 599997128 j = 2 : 1436 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:04:32.88 Generator state: N/A *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = tallinn, Linux stdin smultin_MultinomialOver test: ----------------------------------------------- N = 30, n = 20000000, r = 0, d = 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 : 1286 p-value of test : 0.98 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334406 j = 1 : 599997428 j = 2 : 1286 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:04:25.03 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 : 1418 p-value of test : 0.08 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334538 j = 1 : 599997164 j = 2 : 1418 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:04:36.15 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 : 5481 p-value of test : 0.21 ----------------------------------------------- CPU time used : 00:05:25.40 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 : 4395 p-value of test : 0.19 ----------------------------------------------- CPU time used : 00:02:26.40 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin smarsa_BirthdaySpacings test: ----------------------------------------------- N = 20, n = 30000000, r = 14, d = 65536, t = 4, p = 1 Number of cells = d^t = 18446744073709551616 Lambda = Poisson mean = 365.9182 ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 Total observed number : 7229 p-value of test : 0.85 ----------------------------------------------- CPU time used : 00:04:05.30 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin smarsa_BirthdaySpacings test: ----------------------------------------------- N = 20, n = 20000000, r = 0, d = 512, t = 7, p = 1 Number of cells = d^t = 9223372036854775808 Lambda = Poisson mean = 216.8404 ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 Total observed number : 4327 p-value of test : 0.56 ----------------------------------------------- CPU time used : 00:02:51.96 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 : 4217 p-value of test : 0.97 ----------------------------------------------- CPU time used : 00:03:03.96 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 : 7479 p-value of test : 0.03 ----------------------------------------------- CPU time used : 00:04:45.09 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 : 7245 p-value of test : 0.80 ----------------------------------------------- CPU time used : 00:04:43.31 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 : 7353 p-value of test : 0.34 ----------------------------------------------- CPU time used : 00:05:54.98 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 : 7419 p-value of test : 0.12 ----------------------------------------------- CPU time used : 00:06:36.85 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) : 0.98 p-value of test : 0.37 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) : 0.41 p-value of test : 0.84 Test on the Nm values of W_{n,i}(mNP1): 2.07 p-value of test : 0.08 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 900 Number of jumps of Y : 923 p-value of test : 0.23 Stat. AD (mNP2) : 0.31 p-value of test : 0.93 Stat. AD after spacings (mNP2-S) : 0.96 p-value of test : 0.38 ----------------------------------------------- CPU time used : 00:03:59.73 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) : 0.35 p-value of test : 0.89 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) : 1.05 p-value of test : 0.33 Test on the Nm values of W_{n,i}(mNP1): 0.42 p-value of test : 0.83 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 600 Number of jumps of Y : 607 p-value of test : 0.39 Stat. AD (mNP2) : 0.35 p-value of test : 0.90 Stat. AD after spacings (mNP2-S) : 0.36 p-value of test : 0.89 ----------------------------------------------- CPU time used : 00:02:30.53 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) : 0.46 p-value of test : 0.79 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) : 3.30 p-value of test : 0.02 Test on the Nm values of W_{n,i}(mNP1): 4.25 p-value of test : 6.6e-3 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 300 Number of jumps of Y : 272 p-value of test : 0.95 Stat. AD (mNP2) : 0.64 p-value of test : 0.61 Stat. AD after spacings (mNP2-S) : 1.45 p-value of test : 0.19 ----------------------------------------------- CPU time used : 00:03:51.10 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) : 0.54 p-value of test : 0.69 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) : 0.45 p-value of test : 0.79 Test on the Nm values of W_{n,i}(mNP1): 0.70 p-value of test : 0.56 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 150 Number of jumps of Y : 154 p-value of test : 0.38 Stat. AD (mNP2) : 0.52 p-value of test : 0.73 Stat. AD after spacings (mNP2-S) : 0.48 p-value of test : 0.77 ----------------------------------------------- CPU time used : 00:04:14.52 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sknuth_SimpPoker test: ----------------------------------------------- N = 1, n = 400000000, r = 0, d = 8, k = 8 ----------------------------------------------- Number of degrees of freedom : 7 Chi-square statistic : 10.29 p-value of test : 0.17 ----------------------------------------------- CPU time used : 00:01:38.55 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 : 3.83 p-value of test : 0.80 ----------------------------------------------- CPU time used : 00:01:56.25 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 : 17.11 p-value of test : 0.52 ----------------------------------------------- CPU time used : 00:01:33.36 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 : 14.47 p-value of test : 0.70 ----------------------------------------------- CPU time used : 00:01:51.96 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 : 38.00 p-value of test : 0.95 ----------------------------------------------- CPU time used : 00:02:03.06 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 : 57.17 p-value of test : 0.36 ----------------------------------------------- CPU time used : 00:02:24.43 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 : 68.95 p-value of test : 0.08 ----------------------------------------------- CPU time used : 00:02:24.48 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 : 44.58 p-value of test : 0.82 ----------------------------------------------- CPU time used : 00:02:23.55 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 : 218.18 p-value of test : 0.73 ----------------------------------------------- CPU time used : 00:02:31.31 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 : 409.41 p-value of test : 0.80 ----------------------------------------------- CPU time used : 00:03:18.89 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 : 1393.25 p-value of test : 0.79 ----------------------------------------------- CPU time used : 00:03:56.86 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 : 7154.08 p-value of test : 0.18 ----------------------------------------------- CPU time used : 00:03:23.17 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sknuth_Run test: ----------------------------------------------- N = 5, n = 1000000000, r = 0, Up = FALSE ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.15 p-value of test : 0.75 Kolmogorov-Smirnov- statistic = D- : 0.36 p-value of test : 0.22 Anderson-Darling statistic = A2 : 1.11 p-value of test : 0.30 Test on the sum of all N observations Number of degrees of freedom : 30 Chi-square statistic : 38.52 p-value of test : 0.14 ----------------------------------------------- CPU time used : 00:02:08.82 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sknuth_Run test: ----------------------------------------------- N = 10, n = 1000000000, r = 15, Up = TRUE ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.31 p-value of test : 0.13 Kolmogorov-Smirnov- statistic = D- : 0.11 p-value of test : 0.73 Anderson-Darling statistic = A2 : 1.04 p-value of test : 0.34 Test on the sum of all N observations Number of degrees of freedom : 60 Chi-square statistic : 52.76 p-value of test : 0.73 ----------------------------------------------- CPU time used : 00:04:54.87 Generator state: N/A *********************************************************** Test sknuth_Permutation calling smultin_Multinomial *********************************************************** HOST = tallinn, Linux stdin smultin_Multinomial test: ----------------------------------------------- N = 1, n = 1000000000, r = 5, t = 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 : 7.41 p-value of test : 0.19 ----------------------------------------------- CPU time used : 00:01:26.44 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 : 125.17 p-value of test : 0.33 ----------------------------------------------- CPU time used : 00:02:24.07 Generator state: N/A *********************************************************** Test sknuth_Permutation calling smultin_Multinomial *********************************************************** HOST = tallinn, Linux stdin smultin_Multinomial test: ----------------------------------------------- N = 1, n = 500000000, r = 5, t = 7, Sparse = FALSE GenerCell = smultin_GenerCellPermut Number of cells = t! = 5040 Expected number per cell = 99206.349 Hashing = FALSE For Delta > -1, we use the ChiSquare approximation Correction factor of the ChiSquare: Delta = 1, Mu = 5.0390004e-06, Sigma = 1 ----------------------------------------------- Test Results for Delta = 1.0000 Number of degrees of freedom : 5039 Value of the statistic : 5094.27 p-value of test : 0.29 ----------------------------------------------- CPU time used : 00:01:45.93 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 : 0.10 ----------------------------------------------- CPU time used : 00:03:25.48 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 : 45973 p-value of test : 0.33 ----------------------------- Total number of cells containing j balls j = 0 : 1743165869973 j = 1 : 399908055 j = 2 : 45971 j = 3 : 1 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:04:44.36 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 : 45713 p-value of test : 0.78 ----------------------------- Total number of cells containing j balls j = 0 : 1743165869713 j = 1 : 399908577 j = 2 : 45707 j = 3 : 3 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:04:57.51 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+ : 0.083 p-value of test : 0.54 Kolmogorov-Smirnov- statistic = D- : 0.18 p-value of test : 0.07 Anderson-Darling statistic = A2 : 1.54 p-value of test : 0.17 Test on the sum of all N observations Number of degrees of freedom : 3999960 Chi-square statistic : 4.00e+6 p-value of test : 0.15 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.19 p-value of test : 0.04 Kolmogorov-Smirnov- statistic = D- : 0.022 p-value of test : 0.95 Anderson-Darling statistic = A2 : 2.72 p-value of test : 0.04 ----------------------------------------------- CPU time used : 00:04:07.37 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+ : 0.12 p-value of test : 0.36 Kolmogorov-Smirnov- statistic = D- : 0.097 p-value of test : 0.54 Anderson-Darling statistic = A2 : 0.62 p-value of test : 0.63 Test on the sum of all N observations Number of degrees of freedom : 2999970 Chi-square statistic : 3.00e+6 p-value of test : 0.36 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.12 p-value of test : 0.37 Kolmogorov-Smirnov- statistic = D- : 0.055 p-value of test : 0.81 Anderson-Darling statistic = A2 : 0.33 p-value of test : 0.91 ----------------------------------------------- CPU time used : 00:03:58.86 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 : 0.25 Kolmogorov-Smirnov- statistic = D- : 0.043 p-value of test : 0.90 Anderson-Darling statistic = A2 : 0.85 p-value of test : 0.44 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 p-value of test : 0.85 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.076 p-value of test : 0.76 Kolmogorov-Smirnov- statistic = D- : 0.17 p-value of test : 0.27 Anderson-Darling statistic = A2 : 0.86 p-value of test : 0.44 ----------------------------------------------- CPU time used : 00:03:09.84 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+ : 0.13 p-value of test : 0.46 Kolmogorov-Smirnov- statistic = D- : 0.094 p-value of test : 0.66 Anderson-Darling statistic = A2 : 0.65 p-value of test : 0.60 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 p-value of test : 0.83 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.11 p-value of test : 0.56 Kolmogorov-Smirnov- statistic = D- : 0.056 p-value of test : 0.85 Anderson-Darling statistic = A2 : 0.32 p-value of test : 0.92 ----------------------------------------------- CPU time used : 00:03:39.29 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleProd test: ----------------------------------------------- N = 40, n = 10000000, r = 0, t = 8 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.066 p-value of test : 0.67 Kolmogorov-Smirnov- statistic = D- : 0.088 p-value of test : 0.51 Anderson-Darling statistic = A2 : 0.29 p-value of test : 0.94 ----------------------------------------------- CPU time used : 00:03:33.42 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleProd test: ----------------------------------------------- N = 20, n = 10000000, r = 0, t = 16 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.20 p-value of test : 0.18 Kolmogorov-Smirnov- statistic = D- : 0.025 p-value of test : 0.96 Anderson-Darling statistic = A2 : 1.11 p-value of test : 0.30 ----------------------------------------------- CPU time used : 00:02:35.25 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleProd test: ----------------------------------------------- N = 20, n = 10000000, r = 0, t = 24 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.11 p-value of test : 0.56 Kolmogorov-Smirnov- statistic = D- : 0.18 p-value of test : 0.25 Anderson-Darling statistic = A2 : 0.99 p-value of test : 0.36 ----------------------------------------------- CPU time used : 00:03:32.39 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleMean test: ----------------------------------------------- N = 20000000, n = 30, r = 0 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 1.49e-4 p-value of test : 0.41 Kolmogorov-Smirnov- statistic = D- : 2.38e-4 p-value of test : 0.10 Anderson-Darling statistic = A2 : 1.28 p-value of test : 0.24 ----------------------------------------------- CPU time used : 00:00:47.56 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleMean test: ----------------------------------------------- N = 20000000, n = 30, r = 10 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 1.11e-4 p-value of test : 0.61 Kolmogorov-Smirnov- statistic = D- : 1.68e-4 p-value of test : 0.32 Anderson-Darling statistic = A2 : 0.76 p-value of test : 0.51 ----------------------------------------------- CPU time used : 00:00:47.77 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleCorr test: ----------------------------------------------- N = 1, n = 2000000000, r = 0, k = 1 ----------------------------------------------- Normal statistic : 0.12 p-value of test : 0.45 ----------------------------------------------- CPU time used : 00:00:46.06 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleCorr test: ----------------------------------------------- N = 1, n = 2000000000, r = 0, k = 2 ----------------------------------------------- Normal statistic : 1.55 p-value of test : 0.06 ----------------------------------------------- CPU time used : 00:00:46.44 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 : -0.84 p-value of test : 0.80 ----------------------------------------------- CPU time used : 00:02:32.40 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 : 1.52 p-value of test : 0.06 ----------------------------------------------- CPU time used : 00:02:34.29 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_WeightDistrib test: ----------------------------------------------- N = 1, n = 20000000, r = 0, k = 256, Alpha = 0, Beta = 0.25 ----------------------------------------------- Number of degrees of freedom : 67 Chi-square statistic : 75.57 p-value of test : 0.22 ----------------------------------------------- CPU time used : 00:01:53.73 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 : 81.57 p-value of test : 0.11 ----------------------------------------------- CPU time used : 00:02:09.18 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 : 65.82 p-value of test : 0.52 ----------------------------------------------- CPU time used : 00:02:09.25 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 : 42.74 p-value of test : 0.24 ----------------------------------------------- CPU time used : 00:01:53.27 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 : 25.61 p-value of test : 0.92 ----------------------------------------------- CPU time used : 00:02:13.57 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 : 43.72 p-value of test : 0.21 ----------------------------------------------- CPU time used : 00:02:09.01 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 : 30.75 p-value of test : 0.38 ----------------------------------------------- CPU time used : 00:03:49.46 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 : 0.58 Kolmogorov-Smirnov- statistic = D- : 0.076 p-value of test : 0.85 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 : 40 Chi-square statistic : 35.48 p-value of test : 0.67 ----------------------------------------------- CPU time used : 00:01:45.78 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+ : 0.41 p-value of test : 0.02 Kolmogorov-Smirnov- statistic = D- : 0.19 p-value of test : 0.44 Anderson-Darling statistic = A2 : 2.50 p-value of test : 0.05 Test on the sum of all N observations Number of degrees of freedom : 40 Chi-square statistic : 34.56 p-value of test : 0.71 ----------------------------------------------- CPU time used : 00:01:45.47 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 : 2.29 p-value of test : 0.51 ----------------------------------------------- CPU time used : 00:02:50.12 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 5000, r = 26, s = 4, L = 1000, k = 1000 ----------------------------------------------- Number of degrees of freedom : 3 Chi-square statistic : 0.65 p-value of test : 0.88 ----------------------------------------------- CPU time used : 00:02:45.73 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 : 0.27 p-value of test : 0.87 ----------------------------------------------- CPU time used : 00:02:18.81 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 : 2.40 p-value of test : 0.30 ----------------------------------------------- CPU time used : 00:01:57.71 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+ : 0.053 p-value of test : 0.92 Kolmogorov-Smirnov- statistic = D- : 0.29 p-value of test : 0.16 Anderson-Darling statistic = A2 : 0.97 p-value of test : 0.37 Test on the sum of all N observations Number of degrees of freedom : 130 Chi-square statistic : 146.04 p-value of test : 0.16 ----------------------------------------------- CPU time used : 00:01:10.61 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+ : 0.10 p-value of test : 0.76 Kolmogorov-Smirnov- statistic = D- : 0.18 p-value of test : 0.47 Anderson-Darling statistic = A2 : 0.46 p-value of test : 0.79 Test on the sum of all N observations Number of degrees of freedom : 17430 Chi-square statistic :17534.92 p-value of test : 0.29 ----------------------------------------------- CPU time used : 00:02:03.12 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 : 24.33 p-value of test : 0.93 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 ChiSquare statistic : 31.92 p-value of test : 0.62 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 ChiSquare statistic : 19.39 p-value of test : 0.78 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 ChiSquare statistic : 31.15 p-value of test : 0.15 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 ChiSquare statistic : 21.14 p-value of test : 0.22 ----------------------------------------------- CPU time used : 00:01:08.98 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 : 40.51 p-value of test : 0.28 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 ChiSquare statistic : 40.66 p-value of test : 0.24 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 ChiSquare statistic : 29.60 p-value of test : 0.24 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 ChiSquare statistic : 23.99 p-value of test : 0.46 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 ChiSquare statistic : 23.51 p-value of test : 0.13 ----------------------------------------------- CPU time used : 00:01:08.72 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 : 121.58 p-value of test : 0.93 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 ChiSquare statistic : 110.46 p-value of test : 0.99 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 ChiSquare statistic : 517.13 p-value of test : 0.29 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 ChiSquare statistic : 158.46 p-value of test : 0.09 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 ChiSquare statistic : 58.38 p-value of test : 0.91 ----------------------------------------------- CPU time used : 00:01:20.35 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 : 124.08 p-value of test : 0.91 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 ChiSquare statistic : 93.02 p-value of test : 0.9998 ***** ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 ChiSquare statistic : 517.11 p-value of test : 0.29 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 ChiSquare statistic : 113.71 p-value of test : 0.92 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 ChiSquare statistic : 68.88 p-value of test : 0.65 ----------------------------------------------- CPU time used : 00:01:20.01 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 : 343.12 p-value of test : 0.93 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 ChiSquare statistic : 360.51 p-value of test : 0.80 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 ChiSquare statistic : 4989.64 p-value of test : 0.54 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 ChiSquare statistic : 420.67 p-value of test : 0.06 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 ChiSquare statistic : 168.44 p-value of test : 0.95 ----------------------------------------------- CPU time used : 00:01:23.94 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 : 426.64 p-value of test : 0.07 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 ChiSquare statistic : 349.69 p-value of test : 0.89 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 ChiSquare statistic : 4972.49 p-value of test : 0.61 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 ChiSquare statistic : 356.01 p-value of test : 0.79 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 ChiSquare statistic : 194.77 p-value of test : 0.59 ----------------------------------------------- CPU time used : 00:01:23.52 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 : 6.39 p-value of test : 0.90 ----------------------------------------------- Normal statistic for number of jumps : -0.11 p-value of test : 0.54 ----------------------------------------------- CPU time used : 00:02:42.45 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 : 16.76 p-value of test : 0.16 ----------------------------------------------- Normal statistic for number of jumps : -0.39 p-value of test : 0.65 ----------------------------------------------- CPU time used : 00:02:42.59 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+ : 0.048 p-value of test : 0.93 Kolmogorov-Smirnov- statistic = D- : 0.40 p-value of test : 0.03 Anderson-Darling statistic = A2 : 2.04 p-value of test : 0.09 Tests on the sum of all N observations Standardized normal statistic : 1.68 p-value of test : 0.05 Sample variance : 0.70 p-value of test : 0.71 ----------------------------------------------- CPU time used : 00:01:23.43 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- : 0.16 p-value of test : 0.56 Anderson-Darling statistic = A2 : 0.70 p-value of test : 0.55 Tests on the sum of all N observations Standardized normal statistic : -0.59 p-value of test : 0.72 Sample variance : 1.73 p-value of test : 0.08 ----------------------------------------------- CPU time used : 00:01:26.30 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sspectral_Fourier3 test: ----------------------------------------------- N = 100000, n = 16384, r = 0, s = 3, k = 14 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.014 p-value of test : 0.21 Kolmogorov-Smirnov- statistic = D- : 1.83e-3 p-value of test : 0.97 Anderson-Darling statistic = A2 : 0.82 p-value of test : 0.46 ----------------------------------------------- CPU time used : 00:00:55.77 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+ : 0.016 p-value of test : 0.11 Kolmogorov-Smirnov- statistic = D- : 9.85e-3 p-value of test : 0.45 Anderson-Darling statistic = A2 : 0.95 p-value of test : 0.38 ----------------------------------------------- CPU time used : 00:00:54.39 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 : 4.69 p-value of test : 0.79 ----------------------------------------------- Global longest run of 1 : 36.00 p-value of test : 0.07 ----------------------------------------------- CPU time used : 00:01:53.67 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 : 10.64 p-value of test : 0.22 ----------------------------------------------- Global longest run of 1 : 35.00 p-value of test : 0.14 ----------------------------------------------- CPU time used : 00:01:53.37 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_PeriodsInStrings test: ----------------------------------------------- N = 10, n = 500000000, r = 0, s = 10 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.22 p-value of test : 0.33 Kolmogorov-Smirnov- statistic = D- : 0.14 p-value of test : 0.62 Anderson-Darling statistic = A2 : 0.70 p-value of test : 0.55 Test on the sum of all N observations Number of degrees of freedom : 200 Chi-square statistic : 182.53 p-value of test : 0.81 ----------------------------------------------- CPU time used : 00:03:50.79 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_PeriodsInStrings test: ----------------------------------------------- N = 10, n = 500000000, r = 20, s = 10 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.26 p-value of test : 0.23 Kolmogorov-Smirnov- statistic = D- : 0.059 p-value of test : 0.90 Anderson-Darling statistic = A2 : 1.41 p-value of test : 0.20 Test on the sum of all N observations Number of degrees of freedom : 200 Chi-square statistic : 171.76 p-value of test : 0.93 ----------------------------------------------- CPU time used : 00:04:00.27 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- : 0.088 p-value of test : 0.81 Anderson-Darling statistic = A2 : 1.02 p-value of test : 0.35 Test on the sum of all N observations Number of degrees of freedom : 10000 Chi-square statistic : 9860.65 p-value of test : 0.84 ----------------------------------------------- CPU time used : 00:01:17.11 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+ : 0.043 p-value of test : 0.94 Kolmogorov-Smirnov- statistic = D- : 0.52 p-value of test : 2.6e-3 Anderson-Darling statistic = A2 : 3.26 p-value of test : 0.02 Test on the sum of all N observations Number of degrees of freedom : 10000 Chi-square statistic :10302.97 p-value of test : 0.02 ----------------------------------------------- CPU time used : 00:01:21.62 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 1000000000, r = 10, s = 10, L = 30 ----------------------------------------------- Normal statistic : -1.35 p-value of test : 0.91 ----------------------------------------------- CPU time used : 00:01:40.80 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 100000000, r = 10, s = 10, L = 300 ----------------------------------------------- Normal statistic : -0.21 p-value of test : 0.58 ----------------------------------------------- CPU time used : 00:01:34.01 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 100000000, r = 10, s = 10, L = 1200 ----------------------------------------------- Normal statistic : -0.68 p-value of test : 0.75 ----------------------------------------------- CPU time used : 00:06:10.28 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+ : 0.38 p-value of test : 0.04 Kolmogorov-Smirnov- statistic = D- : 0.065 p-value of test : 0.88 Anderson-Darling statistic = A2 : 2.70 p-value of test : 0.04 Test on the sum of all N observations Number of degrees of freedom : 4890 Chi-square statistic : 4693.42 p-value of test : 0.98 ----------------------------------------------- CPU time used : 00:02:41.48 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+ : 0.13 p-value of test : 0.65 Kolmogorov-Smirnov- statistic = D- : 0.15 p-value of test : 0.59 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 : 4890 Chi-square statistic : 4860.59 p-value of test : 0.61 ----------------------------------------------- CPU time used : 00:02:40.03 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 : 4317.02 p-value of test : 0.01 ----------------------------------------------- CPU time used : 00:02:00.12 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 : 4245.16 p-value of test : 0.08 ----------------------------------------------- CPU time used : 00:02:01.93 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 :11743.08 p-value of test : 0.70 ----------------------------------------------- CPU time used : 00:02:10.31 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 :11762.33 p-value of test : 0.66 ----------------------------------------------- CPU time used : 00:02:11.79 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 : 70.11 p-value of test : 0.07 ----------------------------------------------- Total number of bits: 7999895598 Normal statistic for number of bits : -0.83 p-value of test : 0.80 ----------------------------------------------- CPU time used : 00:01:43.83 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 : 72.06 p-value of test : 0.05 ----------------------------------------------- Total number of bits: 7999926849 Normal statistic for number of bits : -0.58 p-value of test : 0.72 ----------------------------------------------- CPU time used : 00:01:42.18 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+ : 0.18 p-value of test : 0.48 Kolmogorov-Smirnov- statistic = D- : 0.21 p-value of test : 0.35 Anderson-Darling statistic = A2 : 0.73 p-value of test : 0.53 Tests on the sum of all N observations Standardized normal statistic : 0.24 p-value of test : 0.40 Sample variance : 0.35 p-value of test : 0.96 ----------------------------------------------- CPU time used : 00:03:21.04 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+ : 0.29 p-value of test : 0.15 Kolmogorov-Smirnov- statistic = D- : 0.065 p-value of test : 0.89 Anderson-Darling statistic = A2 : 1.05 p-value of test : 0.33 Tests on the sum of all N observations Standardized normal statistic : -1.10 p-value of test : 0.86 Sample variance : 0.54 p-value of test : 0.85 ----------------------------------------------- CPU time used : 00:02:57.65 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+ : 0.11 p-value of test : 0.75 Kolmogorov-Smirnov- statistic = D- : 0.23 p-value of test : 0.29 Anderson-Darling statistic = A2 : 0.57 p-value of test : 0.68 Tests on the sum of all N observations Standardized normal statistic : 0.80 p-value of test : 0.21 Sample variance : 1.04 p-value of test : 0.40 ----------------------------------------------- CPU time used : 00:03:15.54 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+ : 0.20 p-value of test : 0.41 Kolmogorov-Smirnov- statistic = D- : 0.17 p-value of test : 0.51 Anderson-Darling statistic = A2 : 0.64 p-value of test : 0.61 Tests on the sum of all N observations Standardized normal statistic : -0.44 p-value of test : 0.67 Sample variance : 0.50 p-value of test : 0.88 ----------------------------------------------- CPU time used : 00:02:55.65 Generator state: N/A ========= Summary results of BigCrush ========= Version: TestU01 1.2.3 Generator: stdin Number of statistics: 160 Total CPU time: 04:53:21.77 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 ---------------------------------------------- 77 RandomWalk1 M (L=1000, r=20) 0.9998 ---------------------------------------------- All other tests were passed # # End: 2019-10-10 20:44:11 # # Exit value: 0 # Bytes used: 1428409368576 >= 2^40 (1.4 TB) # # Test duration: 294.47414192825 minutes #