# # RandomSource: XO_SHI_RO_512_PP # RNG: org.apache.commons.rng.core.source64.XoShiRo512PlusPlus # Seed: 153c5c6f0b25e7592c1e3835ce9898a08643b5a88074fa57fb06b6155374c64737b49d78fc6714279da928108fe13bbcacb3a0c56506c76dc8d37a5902b69ba2 # # 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: 2019-10-11 02:56:05 # 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 : 0.24 ----------------------------------------------- CPU time used : 00:01:56.95 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 : 0.39 ----------------------------------------------- CPU time used : 00:02:02.78 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 : 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 : 00:03:27.20 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 : 1319 p-value of test : 0.89 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334439 j = 1 : 599997362 j = 2 : 1319 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:03:51.70 Generator state: N/A *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = tallinn, Linux stdin smultin_MultinomialOver test: ----------------------------------------------- N = 30, n = 20000000, r = 0, d = 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 : 1363 p-value of test : 0.51 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334483 j = 1 : 599997274 j = 2 : 1363 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:04:45.54 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 : 00:04:59.49 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 : 1383 p-value of test : 0.31 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334503 j = 1 : 599997234 j = 2 : 1383 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:05:00.76 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 : 1365 p-value of test : 0.50 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334485 j = 1 : 599997270 j = 2 : 1365 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:05:09.04 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 : 1356 p-value of test : 0.58 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334476 j = 1 : 599997288 j = 2 : 1356 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:05:14.36 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 : 1379 p-value of test : 0.35 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334499 j = 1 : 599997242 j = 2 : 1379 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:05:06.28 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 : 1449 p-value of test : 0.01 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334569 j = 1 : 599997102 j = 2 : 1449 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:04:58.61 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 : 1328 p-value of test : 0.83 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334448 j = 1 : 599997344 j = 2 : 1328 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:05:04.11 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 : 5442 p-value of test : 0.39 ----------------------------------------------- CPU time used : 00:05:20.11 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 : 4295 p-value of test : 0.73 ----------------------------------------------- CPU time used : 00:02:19.03 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 : 7435 p-value of test : 0.09 ----------------------------------------------- CPU time used : 00:03:54.96 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 : 4286 p-value of test : 0.78 ----------------------------------------------- CPU time used : 00:02:51.65 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 : 4314 p-value of test : 0.63 ----------------------------------------------- CPU time used : 00:02:54.89 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 : 7223 p-value of test : 0.87 ----------------------------------------------- CPU time used : 00:04:43.00 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 : 7493 p-value of test : 0.02 ----------------------------------------------- CPU time used : 00:04:52.59 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 : 7400 p-value of test : 0.17 ----------------------------------------------- CPU time used : 00:06:24.25 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 : 7380 p-value of test : 0.24 ----------------------------------------------- CPU time used : 00:06:34.39 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) : 0.73 p-value of test : 0.53 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) : 0.22 p-value of test : 0.99 Test on the Nm values of W_{n,i}(mNP1): 0.57 p-value of test : 0.67 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 900 Number of jumps of Y : 911 p-value of test : 0.36 Stat. AD (mNP2) : 0.83 p-value of test : 0.46 Stat. AD after spacings (mNP2-S) : 1.18 p-value of test : 0.28 ----------------------------------------------- CPU time used : 00:03:52.23 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) : 0.79 p-value of test : 0.49 A2 test based on the spacings between the successive jump times of process Y_n(t): A2 test on the values of A2 (m-NP) : 2.87 p-value of test : 0.03 Test on the Nm values of W_{n,i}(mNP1): 1.14 p-value of test : 0.29 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 600 Number of jumps of Y : 610 p-value of test : 0.35 Stat. AD (mNP2) : 0.41 p-value of test : 0.84 Stat. AD after spacings (mNP2-S) : 0.43 p-value of test : 0.82 ----------------------------------------------- CPU time used : 00:02:23.81 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) : 2.17 p-value of test : 0.08 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) : 1.68 p-value of test : 0.14 Test on the Nm values of W_{n,i}(mNP1): 0.92 p-value of test : 0.40 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 300 Number of jumps of Y : 305 p-value of test : 0.39 Stat. AD (mNP2) : 0.72 p-value of test : 0.54 Stat. AD after spacings (mNP2-S) : 0.55 p-value of test : 0.70 ----------------------------------------------- CPU time used : 00:03:47.28 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin snpair_ClosePairs test: ----------------------------------------------- N = 5, n = 2000000, r = 0, t = 16, p = 0, m = 30, Torus = TRUE --------------------------------------- Test based on the 2 nearest points (NP): Stat. AD on the N values (NP) : 0.98 p-value of test : 0.36 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) : 1.25 p-value of test : 0.25 Test on the Nm values of W_{n,i}(mNP1): 0.51 p-value of test : 0.74 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 150 Number of jumps of Y : 160 p-value of test : 0.22 Stat. AD (mNP2) : 1.72 p-value of test : 0.13 Stat. AD after spacings (mNP2-S) : 0.28 p-value of test : 0.96 ----------------------------------------------- CPU time used : 00:04:08.06 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 : 6.74 p-value of test : 0.46 ----------------------------------------------- CPU time used : 00:01:30.93 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 : 8.46 p-value of test : 0.29 ----------------------------------------------- CPU time used : 00:01:54.28 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 : 19.44 p-value of test : 0.37 ----------------------------------------------- CPU time used : 00:01:28.46 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 : 7.22 p-value of test : 0.99 ----------------------------------------------- CPU time used : 00:01:51.61 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 : 55.96 p-value of test : 0.40 ----------------------------------------------- CPU time used : 00:02:04.93 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 : 46.11 p-value of test : 0.77 ----------------------------------------------- CPU time used : 00:02:24.88 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 : 34.04 p-value of test : 0.98 ----------------------------------------------- CPU time used : 00:02:25.94 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 : 58.43 p-value of test : 0.32 ----------------------------------------------- CPU time used : 00:02:33.92 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 : 292.82 p-value of test : 4.2e-3 ----------------------------------------------- CPU time used : 00:03:00.64 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 : 418.79 p-value of test : 0.69 ----------------------------------------------- CPU time used : 00:03:56.84 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 : 1501.47 p-value of test : 0.12 ----------------------------------------------- CPU time used : 00:04:41.57 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 : 7057.17 p-value of test : 0.46 ----------------------------------------------- CPU time used : 00:04:19.26 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sknuth_Run test: ----------------------------------------------- N = 5, n = 1000000000, r = 0, Up = FALSE ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.28 p-value of test : 0.38 Kolmogorov-Smirnov- statistic = D- : 0.24 p-value of test : 0.48 Anderson-Darling statistic = A2 : 0.47 p-value of test : 0.77 Test on the sum of all N observations Number of degrees of freedom : 30 Chi-square statistic : 26.22 p-value of test : 0.66 ----------------------------------------------- CPU time used : 00:02:21.87 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sknuth_Run test: ----------------------------------------------- N = 10, n = 1000000000, r = 15, Up = TRUE ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.22 p-value of test : 0.32 Kolmogorov-Smirnov- statistic = D- : 0.10 p-value of test : 0.76 Anderson-Darling statistic = A2 : 0.67 p-value of test : 0.58 Test on the sum of all N observations Number of degrees of freedom : 60 Chi-square statistic : 49.92 p-value of test : 0.82 ----------------------------------------------- CPU time used : 00:05:21.32 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 : 4.94 p-value of test : 0.42 ----------------------------------------------- CPU time used : 00:01:37.79 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 : 129.76 p-value of test : 0.24 ----------------------------------------------- CPU time used : 00:02:43.04 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 : 5041.23 p-value of test : 0.49 ----------------------------------------------- CPU time used : 00:01:59.04 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 : 0.45 ----------------------------------------------- CPU time used : 00:03:32.87 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 : 45677 p-value of test : 0.83 ----------------------------- Total number of cells containing j balls j = 0 : 1743165869677 j = 1 : 399908652 j = 2 : 45665 j = 3 : 6 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:04:47.72 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 : 46067 p-value of test : 0.19 ----------------------------- Total number of cells containing j balls j = 0 : 1743165870067 j = 1 : 399907872 j = 2 : 46055 j = 3 : 6 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:04:59.95 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+ : 0.096 p-value of test : 0.45 Kolmogorov-Smirnov- statistic = D- : 0.064 p-value of test : 0.69 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 : 3999960 Chi-square statistic : 4.00e+6 p-value of test : 0.78 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.10 p-value of test : 0.41 Kolmogorov-Smirnov- statistic = D- : 0.064 p-value of test : 0.69 Anderson-Darling statistic = A2 : 0.57 p-value of test : 0.67 ----------------------------------------------- CPU time used : 00:04:13.15 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+ : 8.43e-3 p-value of test : 0.99 Kolmogorov-Smirnov- statistic = D- : 0.30 p-value of test : 4.1e-3 Anderson-Darling statistic = A2 : 4.81 p-value of test : 3.6e-3 Test on the sum of all N observations Number of degrees of freedom : 2999970 Chi-square statistic : 3.01e+6 p-value of test : 1.6e-3 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.054 p-value of test : 0.81 Kolmogorov-Smirnov- statistic = D- : 0.22 p-value of test : 0.04 Anderson-Darling statistic = A2 : 1.84 p-value of test : 0.11 ----------------------------------------------- CPU time used : 00:03:46.88 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+ : 0.081 p-value of test : 0.73 Kolmogorov-Smirnov- statistic = D- : 0.15 p-value of test : 0.38 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 : 1999980 Chi-square statistic : 2.00e+6 p-value of test : 0.36 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.066 p-value of test : 0.80 Kolmogorov-Smirnov- statistic = D- : 0.19 p-value of test : 0.22 Anderson-Darling statistic = A2 : 0.76 p-value of test : 0.51 ----------------------------------------------- CPU time used : 00:03:01.14 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+ : 0.053 p-value of test : 0.86 Kolmogorov-Smirnov- statistic = D- : 0.19 p-value of test : 0.20 Anderson-Darling statistic = A2 : 0.50 p-value of test : 0.75 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 p-value of test : 0.28 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.047 p-value of test : 0.89 Kolmogorov-Smirnov- statistic = D- : 0.25 p-value of test : 0.07 Anderson-Darling statistic = A2 : 0.68 p-value of test : 0.58 ----------------------------------------------- CPU time used : 00:03:29.27 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleProd test: ----------------------------------------------- N = 40, n = 10000000, r = 0, t = 8 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.010 p-value of test : 0.98 Kolmogorov-Smirnov- statistic = D- : 0.21 p-value of test : 0.02 Anderson-Darling statistic = A2 : 2.30 p-value of test : 0.06 ----------------------------------------------- CPU time used : 00:03:23.01 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleProd test: ----------------------------------------------- N = 20, n = 10000000, r = 0, t = 16 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.16 p-value of test : 0.31 Kolmogorov-Smirnov- statistic = D- : 0.086 p-value of test : 0.71 Anderson-Darling statistic = A2 : 0.45 p-value of test : 0.79 ----------------------------------------------- CPU time used : 00:02:30.05 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleProd test: ----------------------------------------------- N = 20, n = 10000000, r = 0, t = 24 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.23 p-value of test : 0.11 Kolmogorov-Smirnov- statistic = D- : 3.65e-3 p-value of test : 0.9961 Anderson-Darling statistic = A2 : 2.27 p-value of test : 0.07 ----------------------------------------------- CPU time used : 00:03:19.55 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleMean test: ----------------------------------------------- N = 20000000, n = 30, r = 0 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 1.84e-4 p-value of test : 0.26 Kolmogorov-Smirnov- statistic = D- : 1.94e-4 p-value of test : 0.22 Anderson-Darling statistic = A2 : 1.17 p-value of test : 0.28 ----------------------------------------------- CPU time used : 00:00:45.19 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleMean test: ----------------------------------------------- N = 20000000, n = 30, r = 10 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 1.49e-4 p-value of test : 0.41 Kolmogorov-Smirnov- statistic = D- : 1.92e-4 p-value of test : 0.23 Anderson-Darling statistic = A2 : 1.06 p-value of test : 0.33 ----------------------------------------------- CPU time used : 00:00:45.15 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleCorr test: ----------------------------------------------- N = 1, n = 2000000000, r = 0, k = 1 ----------------------------------------------- Normal statistic : 1.41 p-value of test : 0.08 ----------------------------------------------- CPU time used : 00:00:45.10 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleCorr test: ----------------------------------------------- N = 1, n = 2000000000, r = 0, k = 2 ----------------------------------------------- Normal statistic : -0.51 p-value of test : 0.69 ----------------------------------------------- CPU time used : 00:00:44.03 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 : -2.62 p-value of test : 0.9956 ----------------------------------------------- CPU time used : 00:02:21.34 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 : -0.79 p-value of test : 0.79 ----------------------------------------------- CPU time used : 00:02:23.53 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 : 59.78 p-value of test : 0.72 ----------------------------------------------- CPU time used : 00:01:43.63 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 : 62.26 p-value of test : 0.64 ----------------------------------------------- CPU time used : 00:02:02.82 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_WeightDistrib test: ----------------------------------------------- N = 1, n = 20000000, r = 28, k = 256, Alpha = 0, Beta = 0.25 ----------------------------------------------- Number of degrees of freedom : 67 Chi-square statistic : 94.60 p-value of test : 0.01 ----------------------------------------------- CPU time used : 00:02:05.25 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 : 34.75 p-value of test : 0.58 ----------------------------------------------- CPU time used : 00:01:52.37 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_WeightDistrib test: ----------------------------------------------- N = 1, n = 20000000, r = 10, k = 256, Alpha = 0, Beta = 0.0625 ----------------------------------------------- Number of degrees of freedom : 37 Chi-square statistic : 39.96 p-value of test : 0.34 ----------------------------------------------- CPU time used : 00:02:07.62 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 : 44.72 p-value of test : 0.18 ----------------------------------------------- CPU time used : 00:02:15.89 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 : 35.78 p-value of test : 0.18 ----------------------------------------------- CPU time used : 00:03:57.23 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+ : 0.25 p-value of test : 0.25 Kolmogorov-Smirnov- statistic = D- : 0.065 p-value of test : 0.88 Anderson-Darling statistic = A2 : 0.82 p-value of test : 0.46 Test on the sum of all N observations Number of degrees of freedom : 40 Chi-square statistic : 30.39 p-value of test : 0.86 ----------------------------------------------- CPU time used : 00:01:46.09 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+ : 0.17 p-value of test : 0.51 Kolmogorov-Smirnov- statistic = D- : 0.19 p-value of test : 0.42 Anderson-Darling statistic = A2 : 0.67 p-value of test : 0.58 Test on the sum of all N observations Number of degrees of freedom : 40 Chi-square statistic : 36.89 p-value of test : 0.61 ----------------------------------------------- CPU time used : 00:01:49.28 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 : 1.50 p-value of test : 0.68 ----------------------------------------------- CPU time used : 00:02:44.78 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 5000, r = 26, s = 4, L = 1000, k = 1000 ----------------------------------------------- Number of degrees of freedom : 3 Chi-square statistic : 2.98 p-value of test : 0.39 ----------------------------------------------- CPU time used : 00:02:36.28 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 : 00:02:08.53 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 : 4.12 p-value of test : 0.13 ----------------------------------------------- CPU time used : 00:01:51.28 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin smarsa_Savir2 test: ----------------------------------------------- N = 10, n = 10000000, r = 10, m = 1048576, t = 30 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.19 p-value of test : 0.42 Kolmogorov-Smirnov- statistic = D- : 0.26 p-value of test : 0.22 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 : 130 Chi-square statistic : 125.08 p-value of test : 0.61 ----------------------------------------------- CPU time used : 00:01:12.11 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+ : 0.36 p-value of test : 0.06 Kolmogorov-Smirnov- statistic = D- : 0.12 p-value of test : 0.71 Anderson-Darling statistic = A2 : 2.67 p-value of test : 0.04 Test on the sum of all N observations Number of degrees of freedom : 17430 Chi-square statistic :17108.27 p-value of test : 0.96 ----------------------------------------------- CPU time used : 00:02:01.46 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 : 53.33 p-value of test : 0.03 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 ChiSquare statistic : 47.78 p-value of test : 0.07 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 ChiSquare statistic : 35.10 p-value of test : 0.09 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 ChiSquare statistic : 29.42 p-value of test : 0.20 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 ChiSquare statistic : 14.16 p-value of test : 0.66 ----------------------------------------------- CPU time used : 00:01:09.05 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 : 32.59 p-value of test : 0.63 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 ChiSquare statistic : 29.57 p-value of test : 0.73 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 ChiSquare statistic : 22.19 p-value of test : 0.62 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 ChiSquare statistic : 14.37 p-value of test : 0.94 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 ChiSquare statistic : 7.39 p-value of test : 0.98 ----------------------------------------------- CPU time used : 00:01:06.21 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 : 166.18 p-value of test : 0.12 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 ChiSquare statistic : 166.08 p-value of test : 0.12 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 ChiSquare statistic : 493.74 p-value of test : 0.57 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 ChiSquare statistic : 115.94 p-value of test : 0.89 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 ChiSquare statistic : 63.97 p-value of test : 0.79 ----------------------------------------------- CPU time used : 00:01:17.19 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 : 125.56 p-value of test : 0.89 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 ChiSquare statistic : 130.67 p-value of test : 0.81 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 ChiSquare statistic : 456.74 p-value of test : 0.92 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 ChiSquare statistic : 128.16 p-value of test : 0.67 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 ChiSquare statistic : 71.76 p-value of test : 0.55 ----------------------------------------------- CPU time used : 00:01:17.31 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 : 362.39 p-value of test : 0.78 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 ChiSquare statistic : 388.54 p-value of test : 0.43 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 ChiSquare statistic : 4973.71 p-value of test : 0.60 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 ChiSquare statistic : 394.25 p-value of test : 0.27 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 ChiSquare statistic : 160.29 p-value of test : 0.98 ----------------------------------------------- CPU time used : 00:01:22.06 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 : 370.11 p-value of test : 0.69 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 ChiSquare statistic : 394.60 p-value of test : 0.34 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 ChiSquare statistic : 4893.14 p-value of test : 0.86 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 ChiSquare statistic : 346.92 p-value of test : 0.87 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 ChiSquare statistic : 197.36 p-value of test : 0.54 ----------------------------------------------- CPU time used : 00:01:22.20 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 : 4.52 p-value of test : 0.97 ----------------------------------------------- Normal statistic for number of jumps : -0.74 p-value of test : 0.77 ----------------------------------------------- CPU time used : 00:02:49.77 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 : 14.31 p-value of test : 0.28 ----------------------------------------------- Normal statistic for number of jumps : -0.90 p-value of test : 0.81 ----------------------------------------------- CPU time used : 00:03:04.98 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+ : 0.22 p-value of test : 0.34 Kolmogorov-Smirnov- statistic = D- : 0.27 p-value of test : 0.19 Anderson-Darling statistic = A2 : 0.63 p-value of test : 0.62 Tests on the sum of all N observations Standardized normal statistic : 5.43e-3 p-value of test : 0.50 Sample variance : 0.82 p-value of test : 0.60 ----------------------------------------------- CPU time used : 00:01:21.17 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+ : 0.050 p-value of test : 0.92 Kolmogorov-Smirnov- statistic = D- : 0.22 p-value of test : 0.34 Anderson-Darling statistic = A2 : 0.51 p-value of test : 0.73 Tests on the sum of all N observations Standardized normal statistic : 0.67 p-value of test : 0.25 Sample variance : 1.02 p-value of test : 0.42 ----------------------------------------------- CPU time used : 00:01:27.20 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sspectral_Fourier3 test: ----------------------------------------------- N = 100000, n = 16384, r = 0, s = 3, k = 14 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 8.56e-3 p-value of test : 0.55 Kolmogorov-Smirnov- statistic = D- : 0.011 p-value of test : 0.37 Anderson-Darling statistic = A2 : 0.45 p-value of test : 0.80 ----------------------------------------------- CPU time used : 00:00:53.29 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+ : 0.017 p-value of test : 0.09 Kolmogorov-Smirnov- statistic = D- : 8.46e-3 p-value of test : 0.55 Anderson-Darling statistic = A2 : 0.66 p-value of test : 0.59 ----------------------------------------------- CPU time used : 00:00:51.23 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 : 6.69 p-value of test : 0.57 ----------------------------------------------- Global longest run of 1 : 33.00 p-value of test : 0.44 ----------------------------------------------- CPU time used : 00:01:40.68 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_LongestHeadRun test: ----------------------------------------------- N = 1, n = 1000, r = 27, s = 3, L = 10000020 ----------------------------------------------- Number of degrees of freedom : 8 Chi-square statistic : 7.94 p-value of test : 0.44 ----------------------------------------------- Global longest run of 1 : 29.00 p-value of test : 0.9905 ----------------------------------------------- CPU time used : 00:01:44.57 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_PeriodsInStrings test: ----------------------------------------------- N = 10, n = 500000000, r = 0, s = 10 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.11 p-value of test : 0.72 Kolmogorov-Smirnov- statistic = D- : 0.18 p-value of test : 0.47 Anderson-Darling statistic = A2 : 0.39 p-value of test : 0.86 Test on the sum of all N observations Number of degrees of freedom : 200 Chi-square statistic : 205.51 p-value of test : 0.38 ----------------------------------------------- CPU time used : 00:03:38.20 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_PeriodsInStrings test: ----------------------------------------------- N = 10, n = 500000000, r = 20, s = 10 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.20 p-value of test : 0.38 Kolmogorov-Smirnov- statistic = D- : 0.12 p-value of test : 0.69 Anderson-Darling statistic = A2 : 0.54 p-value of test : 0.70 Test on the sum of all N observations Number of degrees of freedom : 200 Chi-square statistic : 196.69 p-value of test : 0.55 ----------------------------------------------- CPU time used : 00:03:46.30 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_HammingWeight2 test: ----------------------------------------------- N = 10, n = 1000000000, r = 0, s = 3, L = 1000000 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.28 p-value of test : 0.18 Kolmogorov-Smirnov- statistic = D- : 0.091 p-value of test : 0.80 Anderson-Darling statistic = A2 : 1.70 p-value of test : 0.14 Test on the sum of all N observations Number of degrees of freedom : 10000 Chi-square statistic : 9808.81 p-value of test : 0.91 ----------------------------------------------- CPU time used : 00:01:08.10 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+ : 0.11 p-value of test : 0.72 Kolmogorov-Smirnov- statistic = D- : 0.16 p-value of test : 0.56 Anderson-Darling statistic = A2 : 0.25 p-value of test : 0.97 Test on the sum of all N observations Number of degrees of freedom : 10000 Chi-square statistic :10046.98 p-value of test : 0.37 ----------------------------------------------- CPU time used : 00:01:14.44 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 1000000000, r = 10, s = 10, L = 30 ----------------------------------------------- Normal statistic : -0.68 p-value of test : 0.75 ----------------------------------------------- CPU time used : 00:01:39.95 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 100000000, r = 10, s = 10, L = 300 ----------------------------------------------- Normal statistic : -0.066 p-value of test : 0.53 ----------------------------------------------- CPU time used : 00:01:31.14 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 100000000, r = 10, s = 10, L = 1200 ----------------------------------------------- Normal statistic : -1.29 p-value of test : 0.90 ----------------------------------------------- CPU time used : 00:06:05.62 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+ : 0.16 p-value of test : 0.56 Kolmogorov-Smirnov- statistic = D- : 0.18 p-value of test : 0.48 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 : 4905.41 p-value of test : 0.44 ----------------------------------------------- CPU time used : 00:02:36.82 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+ : 0.19 p-value of test : 0.43 Kolmogorov-Smirnov- statistic = D- : 0.14 p-value of test : 0.63 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 : 4855.81 p-value of test : 0.63 ----------------------------------------------- CPU time used : 00:02:33.59 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 : 4180.98 p-value of test : 0.24 ----------------------------------------------- CPU time used : 00:01:56.31 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 : 4108.66 p-value of test : 0.53 ----------------------------------------------- CPU time used : 00:01:56.65 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 :11816.94 p-value of test : 0.52 ----------------------------------------------- CPU time used : 00:02:05.83 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 :11930.79 p-value of test : 0.25 ----------------------------------------------- CPU time used : 00:02:08.38 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 : 61.91 p-value of test : 0.21 ----------------------------------------------- Total number of bits: 8000096502 Normal statistic for number of bits : 0.76 p-value of test : 0.22 ----------------------------------------------- CPU time used : 00:01:41.13 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 : 30.69 p-value of test : 0.9956 ----------------------------------------------- Total number of bits: 7999931463 Normal statistic for number of bits : -0.54 p-value of test : 0.71 ----------------------------------------------- CPU time used : 00:01:40.70 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_AutoCor test: ----------------------------------------------- N = 10, n = 1000000030, r = 0, s = 3, d = 1 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.16 p-value of test : 0.56 Kolmogorov-Smirnov- statistic = D- : 0.15 p-value of test : 0.57 Anderson-Darling statistic = A2 : 0.25 p-value of test : 0.97 Tests on the sum of all N observations Standardized normal statistic : 0.17 p-value of test : 0.43 Sample variance : 0.89 p-value of test : 0.53 ----------------------------------------------- CPU time used : 00:03:14.43 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+ : 0.071 p-value of test : 0.87 Kolmogorov-Smirnov- statistic = D- : 0.19 p-value of test : 0.43 Anderson-Darling statistic = A2 : 0.63 p-value of test : 0.61 Tests on the sum of all N observations Standardized normal statistic : 0.82 p-value of test : 0.21 Sample variance : 0.78 p-value of test : 0.63 ----------------------------------------------- CPU time used : 00:02:54.54 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+ : 0.068 p-value of test : 0.88 Kolmogorov-Smirnov- statistic = D- : 0.36 p-value of test : 0.06 Anderson-Darling statistic = A2 : 1.49 p-value of test : 0.18 Tests on the sum of all N observations Standardized normal statistic : 1.34 p-value of test : 0.09 Sample variance : 1.26 p-value of test : 0.25 ----------------------------------------------- CPU time used : 00:03:15.50 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+ : 0.27 p-value of test : 0.21 Kolmogorov-Smirnov- statistic = D- : 0.28 p-value of test : 0.17 Anderson-Darling statistic = A2 : 0.90 p-value of test : 0.41 Tests on the sum of all N observations Standardized normal statistic : -0.050 p-value of test : 0.52 Sample variance : 1.05 p-value of test : 0.40 ----------------------------------------------- CPU time used : 00:02:55.20 Generator state: N/A ========= Summary results of BigCrush ========= Version: TestU01 1.2.3 Generator: stdin Number of statistics: 160 Total CPU time: 04:58:33.29 All tests were passed # # End: 2019-10-11 07:55:58 # # Exit value: 0 # Bytes used: 1428424810496 >= 2^40 (1.4 TB) # # Test duration: 299.8869028773 minutes #