# # RandomSource: XO_RO_SHI_RO_128_SS # RNG: org.apache.commons.rng.core.source64.XoRoShiRo128StarStar # Seed: 868e64ee55af5d6a4b90dd95e7b94183 # # 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: 2019-10-09 10:49:09 # 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 : 0.08 ----------------------------------------------- CPU time used : 00:02:06.53 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 : 0.07 ----------------------------------------------- CPU time used : 00:02:13.01 Generator state: N/A *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = tallinn, Linux stdin smultin_MultinomialOver test: ----------------------------------------------- N = 30, n = 20000000, r = 0, d = 2097152, t = 2, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 4398046511104 Expected number per cell = 1 / 219902.33 EColl = n^2 / (2k) = 45.47473509 Hashing = TRUE Collision test CollisionOver: density = n / k = 1 / 219902.33 Expected number of collisions = Mu = 45.47 ----------------------------------------------- Results of CollisionOver test: POISSON approximation : Expected number of collisions = N*Mu : 1364.24 Observed number of collisions : 1384 p-value of test : 0.30 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334504 j = 1 : 599997232 j = 2 : 1384 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:03:39.72 Generator state: N/A *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = tallinn, Linux stdin smultin_MultinomialOver test: ----------------------------------------------- N = 30, n = 20000000, r = 9, d = 2097152, t = 2, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 4398046511104 Expected number per cell = 1 / 219902.33 EColl = n^2 / (2k) = 45.47473509 Hashing = TRUE Collision test CollisionOver: density = n / k = 1 / 219902.33 Expected number of collisions = Mu = 45.47 ----------------------------------------------- Results of CollisionOver test: POISSON approximation : Expected number of collisions = N*Mu : 1364.24 Observed number of collisions : 1351 p-value of test : 0.63 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334471 j = 1 : 599997298 j = 2 : 1351 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:03:56.49 Generator state: N/A *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = tallinn, Linux stdin smultin_MultinomialOver test: ----------------------------------------------- N = 30, n = 20000000, r = 0, d = 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 : 1359 p-value of test : 0.55 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334479 j = 1 : 599997282 j = 2 : 1359 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:04:45.27 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 : 1388 p-value of test : 0.26 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334508 j = 1 : 599997224 j = 2 : 1388 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:04:52.78 Generator state: N/A *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = tallinn, Linux stdin smultin_MultinomialOver test: ----------------------------------------------- N = 30, n = 20000000, r = 0, d = 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 : 1372 p-value of test : 0.42 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334492 j = 1 : 599997256 j = 2 : 1372 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:04:51.53 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 : 1364 p-value of test : 0.50 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334484 j = 1 : 599997272 j = 2 : 1364 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:05:00.54 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 : 1349 p-value of test : 0.65 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334469 j = 1 : 599997302 j = 2 : 1349 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:04:52.13 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 : 1324 p-value of test : 0.86 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334444 j = 1 : 599997352 j = 2 : 1324 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:04:52.09 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 : 1392 p-value of test : 0.23 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334512 j = 1 : 599997216 j = 2 : 1392 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:04:40.75 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 : 1308 p-value of test : 0.94 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334428 j = 1 : 599997384 j = 2 : 1308 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:04:45.26 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 : 5511 p-value of test : 0.11 ----------------------------------------------- CPU time used : 00:05:29.38 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 : 4314 p-value of test : 0.63 ----------------------------------------------- CPU time used : 00:02:24.26 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 : 7295 p-value of test : 0.60 ----------------------------------------------- CPU time used : 00:04:02.98 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 : 4430 p-value of test : 0.08 ----------------------------------------------- CPU time used : 00:03:07.09 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 : 4232 p-value of test : 0.94 ----------------------------------------------- CPU time used : 00:03:13.55 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 : 7294 p-value of test : 0.61 ----------------------------------------------- CPU time used : 00:05:04.64 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 : 7371 p-value of test : 0.27 ----------------------------------------------- CPU time used : 00:05:09.09 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 : 7300 p-value of test : 0.58 ----------------------------------------------- CPU time used : 00:06:40.88 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 : 7363 p-value of test : 0.30 ----------------------------------------------- CPU time used : 00:07:05.19 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) : 1.27 p-value of test : 0.24 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) : 0.26 p-value of test : 0.97 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 : 900 Number of jumps of Y : 883 p-value of test : 0.71 Stat. AD (mNP2) : 0.72 p-value of test : 0.55 Stat. AD after spacings (mNP2-S) : 0.51 p-value of test : 0.74 ----------------------------------------------- CPU time used : 00:03:42.44 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) : 0.24 p-value of test : 0.98 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) : 0.33 p-value of test : 0.92 Test on the Nm values of W_{n,i}(mNP1): 0.37 p-value of test : 0.87 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 600 Number of jumps of Y : 598 p-value of test : 0.52 Stat. AD (mNP2) : 1.08 p-value of test : 0.32 Stat. AD after spacings (mNP2-S) : 4.55 p-value of test : 4.7e-3 ----------------------------------------------- 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) : 0.42 p-value of test : 0.83 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) : 1.34 p-value of test : 0.22 Test on the Nm values of W_{n,i}(mNP1): 1.47 p-value of test : 0.18 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 300 Number of jumps of Y : 327 p-value of test : 0.06 Stat. AD (mNP2) : 1.20 p-value of test : 0.27 Stat. AD after spacings (mNP2-S) : 0.31 p-value of test : 0.93 ----------------------------------------------- CPU time used : 00:03:40.77 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) : 1.07 p-value of test : 0.32 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) : 2.77 p-value of test : 0.04 Test on the Nm values of W_{n,i}(mNP1): 2.72 p-value of test : 0.04 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 150 Number of jumps of Y : 161 p-value of test : 0.19 Stat. AD (mNP2) : 1.35 p-value of test : 0.22 Stat. AD after spacings (mNP2-S) : 0.80 p-value of test : 0.48 ----------------------------------------------- CPU time used : 00:03:53.93 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 : 4.95 p-value of test : 0.67 ----------------------------------------------- CPU time used : 00:01:37.22 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sknuth_SimpPoker test: ----------------------------------------------- N = 1, n = 400000000, r = 27, d = 8, k = 8 ----------------------------------------------- Number of degrees of freedom : 7 Chi-square statistic : 6.53 p-value of test : 0.48 ----------------------------------------------- CPU time used : 00:01:57.09 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 : 18.00 p-value of test : 0.46 ----------------------------------------------- CPU time used : 00:01:33.28 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 : 12.44 p-value of test : 0.82 ----------------------------------------------- CPU time used : 00:01:53.03 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 : 46.27 p-value of test : 0.76 ----------------------------------------------- CPU time used : 00:02:12.27 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 : 41.26 p-value of test : 0.90 ----------------------------------------------- CPU time used : 00:02:31.88 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 : 48.07 p-value of test : 0.70 ----------------------------------------------- CPU time used : 00:02:30.27 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 : 60.86 p-value of test : 0.24 ----------------------------------------------- CPU time used : 00:02:30.48 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 : 239.17 p-value of test : 0.36 ----------------------------------------------- CPU time used : 00:02:46.21 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 : 455.78 p-value of test : 0.23 ----------------------------------------------- CPU time used : 00:03:38.68 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 : 1412.62 p-value of test : 0.67 ----------------------------------------------- CPU time used : 00:04:20.47 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 : 7081.11 p-value of test : 0.38 ----------------------------------------------- CPU time used : 00:04:12.39 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sknuth_Run test: ----------------------------------------------- N = 5, n = 1000000000, r = 0, Up = FALSE ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.35 p-value of test : 0.24 Kolmogorov-Smirnov- statistic = D- : 0.13 p-value of test : 0.79 Anderson-Darling statistic = A2 : 1.08 p-value of test : 0.32 Test on the sum of all N observations Number of degrees of freedom : 30 Chi-square statistic : 24.97 p-value of test : 0.73 ----------------------------------------------- CPU time used : 00:02:15.86 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sknuth_Run test: ----------------------------------------------- N = 10, n = 1000000000, r = 15, Up = TRUE ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.38 p-value of test : 0.04 Kolmogorov-Smirnov- statistic = D- : 0.011 p-value of test : 0.99 Anderson-Darling statistic = A2 : 1.65 p-value of test : 0.14 Test on the sum of all N observations Number of degrees of freedom : 60 Chi-square statistic : 42.16 p-value of test : 0.96 ----------------------------------------------- CPU time used : 00:05:12.71 Generator state: N/A *********************************************************** Test sknuth_Permutation calling smultin_Multinomial *********************************************************** HOST = tallinn, Linux stdin smultin_Multinomial test: ----------------------------------------------- N = 1, n = 1000000000, r = 5, t = 3, Sparse = FALSE GenerCell = smultin_GenerCellPermut Number of cells = t! = 6 Expected number per cell = 1.6666667e+08 Hashing = FALSE For Delta > -1, we use the ChiSquare approximation Correction factor of the ChiSquare: Delta = 1, Mu = 2.5000002e-09, Sigma = 1 ----------------------------------------------- Test Results for Delta = 1.0000 Number of degrees of freedom : 5 Value of the statistic : 2.54 p-value of test : 0.77 ----------------------------------------------- CPU time used : 00:01:34.75 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 : 114.35 p-value of test : 0.60 ----------------------------------------------- CPU time used : 00:02:36.42 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 : 4980.90 p-value of test : 0.72 ----------------------------------------------- CPU time used : 00:01:55.48 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 : 0.05 ----------------------------------------------- CPU time used : 00:03:32.54 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 : 45767 p-value of test : 0.70 ----------------------------- Total number of cells containing j balls j = 0 : 1743165869767 j = 1 : 399908469 j = 2 : 45761 j = 3 : 3 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:04:51.79 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 : 45779 p-value of test : 0.68 ----------------------------- Total number of cells containing j balls j = 0 : 1743165869779 j = 1 : 399908449 j = 2 : 45765 j = 3 : 7 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:05:02.37 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+ : 0.042 p-value of test : 0.84 Kolmogorov-Smirnov- statistic = D- : 0.14 p-value of test : 0.18 Anderson-Darling statistic = A2 : 1.01 p-value of test : 0.35 Test on the sum of all N observations Number of degrees of freedom : 3999960 Chi-square statistic : 4.00e+6 p-value of test : 0.24 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.033 p-value of test : 0.90 Kolmogorov-Smirnov- statistic = D- : 0.20 p-value of test : 0.04 Anderson-Darling statistic = A2 : 1.57 p-value of test : 0.16 ----------------------------------------------- CPU time used : 00:04:04.94 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+ : 0.016 p-value of test : 0.97 Kolmogorov-Smirnov- statistic = D- : 0.18 p-value of test : 0.13 Anderson-Darling statistic = A2 : 1.59 p-value of test : 0.16 Test on the sum of all N observations Number of degrees of freedom : 2999970 Chi-square statistic : 3.00e+6 p-value of test : 0.06 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.15 p-value of test : 0.24 Kolmogorov-Smirnov- statistic = D- : 0.081 p-value of test : 0.64 Anderson-Darling statistic = A2 : 0.72 p-value of test : 0.54 ----------------------------------------------- CPU time used : 00:03:47.12 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+ : 0.25 p-value of test : 0.08 Kolmogorov-Smirnov- statistic = D- : 9.30e-4 p-value of test : 0.9991 ***** Anderson-Darling statistic = A2 : 3.21 p-value of test : 0.02 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 1.99e+6 p-value of test : 0.9952 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.11 p-value of test : 0.59 Kolmogorov-Smirnov- statistic = D- : 0.051 p-value of test : 0.87 Anderson-Darling statistic = A2 : 0.33 p-value of test : 0.91 ----------------------------------------------- CPU time used : 00:02:55.30 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+ : 3.11e-3 p-value of test : 0.9967 Kolmogorov-Smirnov- statistic = D- : 0.24 p-value of test : 0.08 Anderson-Darling statistic = A2 : 2.47 p-value of test : 0.05 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 p-value of test : 0.01 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.16 p-value of test : 0.31 Kolmogorov-Smirnov- statistic = D- : 0.092 p-value of test : 0.67 Anderson-Darling statistic = A2 : 0.57 p-value of test : 0.67 ----------------------------------------------- CPU time used : 00:03:17.01 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleProd test: ----------------------------------------------- N = 40, n = 10000000, r = 0, t = 8 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.075 p-value of test : 0.61 Kolmogorov-Smirnov- statistic = D- : 0.096 p-value of test : 0.45 Anderson-Darling statistic = A2 : 0.54 p-value of test : 0.70 ----------------------------------------------- CPU time used : 00:03:13.79 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleProd test: ----------------------------------------------- N = 20, n = 10000000, r = 0, t = 16 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.12 p-value of test : 0.54 Kolmogorov-Smirnov- statistic = D- : 0.17 p-value of test : 0.29 Anderson-Darling statistic = A2 : 0.57 p-value of test : 0.68 ----------------------------------------------- CPU time used : 00:02:34.00 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleProd test: ----------------------------------------------- N = 20, n = 10000000, r = 0, t = 24 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.089 p-value of test : 0.69 Kolmogorov-Smirnov- statistic = D- : 0.22 p-value of test : 0.12 Anderson-Darling statistic = A2 : 0.90 p-value of test : 0.41 ----------------------------------------------- CPU time used : 00:03:22.89 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleMean test: ----------------------------------------------- N = 20000000, n = 30, r = 0 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 1.87e-4 p-value of test : 0.25 Kolmogorov-Smirnov- statistic = D- : 2.63e-4 p-value of test : 0.06 Anderson-Darling statistic = A2 : 1.75 p-value of test : 0.13 ----------------------------------------------- CPU time used : 00:00:42.76 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleMean test: ----------------------------------------------- N = 20000000, n = 30, r = 10 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 1.58e-4 p-value of test : 0.37 Kolmogorov-Smirnov- statistic = D- : 1.97e-4 p-value of test : 0.21 Anderson-Darling statistic = A2 : 1.11 p-value of test : 0.30 ----------------------------------------------- CPU time used : 00:00:41.31 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleCorr test: ----------------------------------------------- N = 1, n = 2000000000, r = 0, k = 1 ----------------------------------------------- Normal statistic : -1.25 p-value of test : 0.90 ----------------------------------------------- CPU time used : 00:00:38.39 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleCorr test: ----------------------------------------------- N = 1, n = 2000000000, r = 0, k = 2 ----------------------------------------------- Normal statistic : -0.48 p-value of test : 0.69 ----------------------------------------------- CPU time used : 00:00:40.07 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 : -0.28 p-value of test : 0.61 ----------------------------------------------- CPU time used : 00:02:13.20 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 : -0.11 p-value of test : 0.54 ----------------------------------------------- CPU time used : 00:02:13.45 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 : 70.15 p-value of test : 0.37 ----------------------------------------------- CPU time used : 00:01:43.52 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 : 66.59 p-value of test : 0.49 ----------------------------------------------- CPU time used : 00:01:48.63 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 : 57.69 p-value of test : 0.78 ----------------------------------------------- CPU time used : 00:01:51.21 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 : 54.45 p-value of test : 0.03 ----------------------------------------------- CPU time used : 00:01:46.35 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 : 31.88 p-value of test : 0.71 ----------------------------------------------- CPU time used : 00:01:57.88 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 : 40.22 p-value of test : 0.33 ----------------------------------------------- CPU time used : 00:01:59.17 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 : 25.62 p-value of test : 0.65 ----------------------------------------------- CPU time used : 00:03:45.53 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+ : 0.28 p-value of test : 0.16 Kolmogorov-Smirnov- statistic = D- : 0.058 p-value of test : 0.90 Anderson-Darling statistic = A2 : 0.89 p-value of test : 0.41 Test on the sum of all N observations Number of degrees of freedom : 40 Chi-square statistic : 29.30 p-value of test : 0.89 ----------------------------------------------- CPU time used : 00:01:45.88 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+ : 0.11 p-value of test : 0.72 Kolmogorov-Smirnov- statistic = D- : 0.16 p-value of test : 0.53 Anderson-Darling statistic = A2 : 0.35 p-value of test : 0.89 Test on the sum of all N observations Number of degrees of freedom : 40 Chi-square statistic : 44.56 p-value of test : 0.29 ----------------------------------------------- CPU time used : 00:01:47.13 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 5000, r = 0, s = 4, L = 1000, k = 1000 ----------------------------------------------- Number of degrees of freedom : 3 Chi-square statistic : 3.41 p-value of test : 0.33 ----------------------------------------------- CPU time used : 00:02:38.11 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 : 1.16 p-value of test : 0.76 ----------------------------------------------- CPU time used : 00:02:45.12 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 : 3.52 p-value of test : 0.17 ----------------------------------------------- CPU time used : 00:02:07.01 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 80, r = 0, s = 30, L = 5000, k = 5000 ----------------------------------------------- Number of degrees of freedom : 2 Chi-square statistic : 0.60 p-value of test : 0.74 ----------------------------------------------- CPU time used : 00:01:51.04 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+ : 0.48 p-value of test : 6.1e-3 Kolmogorov-Smirnov- statistic = D- : 0.026 p-value of test : 0.97 Anderson-Darling statistic = A2 : 4.80 p-value of test : 3.8e-3 Test on the sum of all N observations Number of degrees of freedom : 130 Chi-square statistic : 86.32 p-value of test : 0.9988 ----------------------------------------------- CPU time used : 00:01:12.26 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+ : 0.19 p-value of test : 0.43 Kolmogorov-Smirnov- statistic = D- : 0.082 p-value of test : 0.83 Anderson-Darling statistic = A2 : 0.46 p-value of test : 0.78 Test on the sum of all N observations Number of degrees of freedom : 17430 Chi-square statistic :17316.66 p-value of test : 0.73 ----------------------------------------------- CPU time used : 00:02:01.05 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 : 36.58 p-value of test : 0.44 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 ChiSquare statistic : 34.24 p-value of test : 0.50 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 ChiSquare statistic : 22.52 p-value of test : 0.61 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 ChiSquare statistic : 26.10 p-value of test : 0.35 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 ChiSquare statistic : 14.67 p-value of test : 0.62 ----------------------------------------------- CPU time used : 00:01:11.71 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 : 20.84 p-value of test : 0.98 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 ChiSquare statistic : 21.68 p-value of test : 0.96 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 ChiSquare statistic : 25.11 p-value of test : 0.46 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 ChiSquare statistic : 21.24 p-value of test : 0.62 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 ChiSquare statistic : 12.19 p-value of test : 0.79 ----------------------------------------------- CPU time used : 00:01:10.04 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin swalk_RandomWalk1 test: ----------------------------------------------- N = 1, n = 10000000, r = 0, s = 10, L0 = 1000, L1 = 1000 ----------------------------------------------- Test on the values of the Statistic H Number of degrees of freedom : 146 ChiSquare statistic : 161.93 p-value of test : 0.17 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 ChiSquare statistic : 156.34 p-value of test : 0.26 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 ChiSquare statistic : 513.05 p-value of test : 0.33 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 ChiSquare statistic : 157.65 p-value of test : 0.10 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 ChiSquare statistic : 64.76 p-value of test : 0.77 ----------------------------------------------- CPU time used : 00:01:23.40 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 : 163.12 p-value of test : 0.16 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 ChiSquare statistic : 152.18 p-value of test : 0.35 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 ChiSquare statistic : 515.04 p-value of test : 0.31 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 ChiSquare statistic : 159.08 p-value of test : 0.09 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 ChiSquare statistic : 59.98 p-value of test : 0.88 ----------------------------------------------- CPU time used : 00:01:23.68 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 : 457.77 p-value of test : 5.7e-3 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 ChiSquare statistic : 436.84 p-value of test : 0.03 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 ChiSquare statistic : 5123.93 p-value of test : 0.11 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 ChiSquare statistic : 410.53 p-value of test : 0.12 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 ChiSquare statistic : 236.29 p-value of test : 0.04 ----------------------------------------------- CPU time used : 00:01:25.07 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 : 392.58 p-value of test : 0.37 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 ChiSquare statistic : 336.54 p-value of test : 0.96 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 ChiSquare statistic : 4874.60 p-value of test : 0.90 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 ChiSquare statistic : 387.48 p-value of test : 0.36 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 ChiSquare statistic : 191.37 p-value of test : 0.66 ----------------------------------------------- CPU time used : 00:01:24.44 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 : 14.45 p-value of test : 0.27 ----------------------------------------------- Normal statistic for number of jumps : -0.45 p-value of test : 0.67 ----------------------------------------------- CPU time used : 00:02:45.31 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 : 11.86 p-value of test : 0.46 ----------------------------------------------- Normal statistic for number of jumps : 0.81 p-value of test : 0.21 ----------------------------------------------- CPU time used : 00:02:41.25 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+ : 0.036 p-value of test : 0.95 Kolmogorov-Smirnov- statistic = D- : 0.33 p-value of test : 0.10 Anderson-Darling statistic = A2 : 1.30 p-value of test : 0.23 Tests on the sum of all N observations Standardized normal statistic : 1.32 p-value of test : 0.09 Sample variance : 0.55 p-value of test : 0.84 ----------------------------------------------- CPU time used : 00:01:21.13 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+ : 0.40 p-value of test : 0.03 Kolmogorov-Smirnov- statistic = D- : 0.052 p-value of test : 0.92 Anderson-Darling statistic = A2 : 2.35 p-value of test : 0.06 Tests on the sum of all N observations Standardized normal statistic : -1.72 p-value of test : 0.96 Sample variance : 0.93 p-value of test : 0.50 ----------------------------------------------- CPU time used : 00:01:25.12 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+ : 0.013 p-value of test : 0.23 Kolmogorov-Smirnov- statistic = D- : 0.015 p-value of test : 0.16 Anderson-Darling statistic = A2 : 1.15 p-value of test : 0.29 ----------------------------------------------- CPU time used : 00:00:54.12 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+ : 2.39e-3 p-value of test : 0.95 Kolmogorov-Smirnov- statistic = D- : 0.014 p-value of test : 0.19 Anderson-Darling statistic = A2 : 0.89 p-value of test : 0.42 ----------------------------------------------- CPU time used : 00:00:52.63 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 : 3.23 p-value of test : 0.92 ----------------------------------------------- Global longest run of 1 : 35.00 p-value of test : 0.14 ----------------------------------------------- CPU time used : 00:01:50.09 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 : 9.56 p-value of test : 0.30 ----------------------------------------------- Global longest run of 1 : 34.00 p-value of test : 0.25 ----------------------------------------------- CPU time used : 00:01:48.53 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_PeriodsInStrings test: ----------------------------------------------- N = 10, n = 500000000, r = 0, s = 10 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.47 p-value of test : 7.8e-3 Kolmogorov-Smirnov- statistic = D- : 0.095 p-value of test : 0.78 Anderson-Darling statistic = A2 : 2.46 p-value of test : 0.05 Test on the sum of all N observations Number of degrees of freedom : 200 Chi-square statistic : 169.44 p-value of test : 0.94 ----------------------------------------------- CPU time used : 00:03:45.03 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_PeriodsInStrings test: ----------------------------------------------- N = 10, n = 500000000, r = 20, s = 10 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.18 p-value of test : 0.46 Kolmogorov-Smirnov- statistic = D- : 0.13 p-value of test : 0.67 Anderson-Darling statistic = A2 : 0.32 p-value of test : 0.92 Test on the sum of all N observations Number of degrees of freedom : 200 Chi-square statistic : 198.76 p-value of test : 0.51 ----------------------------------------------- CPU time used : 00:03:50.37 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+ : 0.19 p-value of test : 0.43 Kolmogorov-Smirnov- statistic = D- : 0.13 p-value of test : 0.65 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 : 10000 Chi-square statistic : 9958.87 p-value of test : 0.61 ----------------------------------------------- CPU time used : 00:01:12.59 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+ : 0.17 p-value of test : 0.49 Kolmogorov-Smirnov- statistic = D- : 0.21 p-value of test : 0.38 Anderson-Darling statistic = A2 : 0.47 p-value of test : 0.78 Test on the sum of all N observations Number of degrees of freedom : 10000 Chi-square statistic :10002.53 p-value of test : 0.49 ----------------------------------------------- CPU time used : 00:01:15.39 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 1000000000, r = 10, s = 10, L = 30 ----------------------------------------------- Normal statistic : 1.44 p-value of test : 0.07 ----------------------------------------------- CPU time used : 00:01:35.77 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 100000000, r = 10, s = 10, L = 300 ----------------------------------------------- Normal statistic : 0.97 p-value of test : 0.17 ----------------------------------------------- CPU time used : 00:01:27.04 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 100000000, r = 10, s = 10, L = 1200 ----------------------------------------------- Normal statistic : 0.45 p-value of test : 0.33 ----------------------------------------------- CPU time used : 00:05:41.73 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+ : 0.12 p-value of test : 0.69 Kolmogorov-Smirnov- statistic = D- : 0.17 p-value of test : 0.50 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 : 4919.44 p-value of test : 0.38 ----------------------------------------------- CPU time used : 00:02:27.87 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+ : 0.28 p-value of test : 0.17 Kolmogorov-Smirnov- statistic = D- : 0.17 p-value of test : 0.51 Anderson-Darling statistic = A2 : 0.75 p-value of test : 0.52 Test on the sum of all N observations Number of degrees of freedom : 4890 Chi-square statistic : 4858.42 p-value of test : 0.62 ----------------------------------------------- CPU time used : 00:02:27.01 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 : 4165.34 p-value of test : 0.30 ----------------------------------------------- CPU time used : 00:01:47.97 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 : 4073.51 p-value of test : 0.68 ----------------------------------------------- CPU time used : 00:01:46.90 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 :12032.36 p-value of test : 0.09 ----------------------------------------------- CPU time used : 00:01:57.88 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 :11968.05 p-value of test : 0.18 ----------------------------------------------- CPU time used : 00:01:57.68 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 : 98.01 p-value of test : 2.3e-4 ***** ----------------------------------------------- Total number of bits: 8000045373 Normal statistic for number of bits : 0.36 p-value of test : 0.36 ----------------------------------------------- CPU time used : 00:01:36.68 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 : 56.20 p-value of test : 0.39 ----------------------------------------------- Total number of bits: 7999841400 Normal statistic for number of bits : -1.25 p-value of test : 0.90 ----------------------------------------------- CPU time used : 00:01:36.77 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+ : 0.26 p-value of test : 0.23 Kolmogorov-Smirnov- statistic = D- : 0.052 p-value of test : 0.92 Anderson-Darling statistic = A2 : 1.03 p-value of test : 0.34 Tests on the sum of all N observations Standardized normal statistic : -1.26 p-value of test : 0.90 Sample variance : 1.21 p-value of test : 0.28 ----------------------------------------------- CPU time used : 00:03:10.59 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+ : 0.21 p-value of test : 0.37 Kolmogorov-Smirnov- statistic = D- : 0.26 p-value of test : 0.21 Anderson-Darling statistic = A2 : 1.32 p-value of test : 0.23 Tests on the sum of all N observations Standardized normal statistic : 0.84 p-value of test : 0.20 Sample variance : 0.37 p-value of test : 0.95 ----------------------------------------------- CPU time used : 00:02:50.38 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+ : 0.34 p-value of test : 0.08 Kolmogorov-Smirnov- statistic = D- : 0.15 p-value of test : 0.59 Anderson-Darling statistic = A2 : 1.00 p-value of test : 0.36 Tests on the sum of all N observations Standardized normal statistic : -0.59 p-value of test : 0.72 Sample variance : 0.36 p-value of test : 0.95 ----------------------------------------------- CPU time used : 00:03:08.84 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+ : 0.12 p-value of test : 0.69 Kolmogorov-Smirnov- statistic = D- : 0.16 p-value of test : 0.55 Anderson-Darling statistic = A2 : 0.21 p-value of test : 0.99 Tests on the sum of all N observations Standardized normal statistic : 4.10e-3 p-value of test : 0.50 Sample variance : 0.98 p-value of test : 0.45 ----------------------------------------------- CPU time used : 00:02:51.25 Generator state: N/A ========= Summary results of BigCrush ========= Version: TestU01 1.2.3 Generator: stdin Number of statistics: 160 Total CPU time: 04:54:48.77 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 ---------------------------------------------- 101 Run of bits, r = 0 2.3e-4 ---------------------------------------------- All other tests were passed # # End: 2019-10-09 15:45:09 # # Exit value: 0 # Bytes used: 1428414799872 >= 2^40 (1.4 TB) # # Test duration: 296.0069869709333 minutes #