# # RandomSource: L64_X128_SS # RNG: org.apache.commons.rng.core.source64.L64X128StarStar # Seed: 7d973b3050f7a592704bf18a5a385a61a14aff789372ea514eebf1b2dd64aa95 # # Java: 11.0.14.1 # Runtime: OpenJDK Runtime Environment (build 11.0.14.1+1-Ubuntu-0ubuntu1.18.04) # JVM: OpenJDK 64-Bit Server VM (build 11.0.14.1+1-Ubuntu-0ubuntu1.18.04, mixed mode, sharing) # OS: Linux 4.15.0-175-generic amd64 # Native byte-order: LITTLE_ENDIAN # Output byte-order: LITTLE_ENDIAN # 64-bit output: LO_HI # # Analyzer: /home/ah403/stress/stdin2testu01 BigCrush # # Start: 2022-04-06 16:39:12 # xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx Starting BigCrush Version: TestU01 1.2.3 xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx *********************************************************** Test smarsa_SerialOver calling smultin_MultinomialOver *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, 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 : 0.72 ----------------------------------------------- CPU time used : 00:01:18.62 Generator state: N/A *********************************************************** Test smarsa_SerialOver calling smultin_MultinomialOver *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, 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 : 0.11 ----------------------------------------------- CPU time used : 00:01:20.09 Generator state: N/A *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, 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 : 1337 p-value of test : 0.76 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334457 j = 1 : 599997326 j = 2 : 1337 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:04:42.35 Generator state: N/A *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, 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 : 1369 p-value of test : 0.45 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334489 j = 1 : 599997262 j = 2 : 1369 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:04:40.59 Generator state: N/A *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, 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 : 1306 p-value of test : 0.94 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334426 j = 1 : 599997388 j = 2 : 1306 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:06:10.27 Generator state: N/A *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, 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 : 1377 p-value of test : 0.37 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334497 j = 1 : 599997246 j = 2 : 1377 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:06:11.66 Generator state: N/A *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, Linux stdin smultin_MultinomialOver test: ----------------------------------------------- N = 30, n = 20000000, r = 0, d = 64, t = 7, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 4398046511104 Expected number per cell = 1 / 219902.33 EColl = n^2 / (2k) = 45.47473509 Hashing = TRUE Collision test CollisionOver: density = n / k = 1 / 219902.33 Expected number of collisions = Mu = 45.47 ----------------------------------------------- Results of CollisionOver test: POISSON approximation : Expected number of collisions = N*Mu : 1364.24 Observed number of collisions : 1354 p-value of test : 0.60 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334474 j = 1 : 599997292 j = 2 : 1354 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:06:15.82 Generator state: N/A *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, 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 : 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 : 00:06:12.07 Generator state: N/A *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, 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 : 1380 p-value of test : 0.34 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334500 j = 1 : 599997240 j = 2 : 1380 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:06:08.46 Generator state: N/A *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, 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 : 1382 p-value of test : 0.32 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334502 j = 1 : 599997236 j = 2 : 1382 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:06:14.38 Generator state: N/A *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, Linux stdin smultin_MultinomialOver test: ----------------------------------------------- N = 30, n = 20000000, r = 0, d = 4, t = 21, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 4398046511104 Expected number per cell = 1 / 219902.33 EColl = n^2 / (2k) = 45.47473509 Hashing = TRUE Collision test CollisionOver: density = n / k = 1 / 219902.33 Expected number of collisions = Mu = 45.47 ----------------------------------------------- Results of CollisionOver test: POISSON approximation : Expected number of collisions = N*Mu : 1364.24 Observed number of collisions : 1385 p-value of test : 0.29 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334505 j = 1 : 599997230 j = 2 : 1385 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:06:11.17 Generator state: N/A *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, 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 : 1339 p-value of test : 0.75 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334459 j = 1 : 599997322 j = 2 : 1339 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:06:10.28 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, 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 : 5385 p-value of test : 0.68 ----------------------------------------------- CPU time used : 00:03:27.26 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, 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 : 4378 p-value of test : 0.27 ----------------------------------------------- CPU time used : 00:01:28.90 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, 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 : 7369 p-value of test : 0.28 ----------------------------------------------- CPU time used : 00:02:32.10 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, 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 : 4292 p-value of test : 0.75 ----------------------------------------------- CPU time used : 00:01:48.97 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, 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 : 4472 p-value of test : 0.02 ----------------------------------------------- CPU time used : 00:01:54.48 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, 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 : 7248 p-value of test : 0.79 ----------------------------------------------- CPU time used : 00:03:03.03 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, 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 : 7342 p-value of test : 0.39 ----------------------------------------------- CPU time used : 00:03:03.01 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, 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 : 7320 p-value of test : 0.49 ----------------------------------------------- CPU time used : 00:03:56.52 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, 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 : 7294 p-value of test : 0.61 ----------------------------------------------- CPU time used : 00:04:15.39 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, 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) : 1.97 p-value of test : 0.10 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) : 1.55 p-value of test : 0.17 Test on the Nm values of W_{n,i}(mNP1): 1.07 p-value of test : 0.32 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 900 Number of jumps of Y : 918 p-value of test : 0.28 Stat. AD (mNP2) : 0.83 p-value of test : 0.46 Stat. AD after spacings (mNP2-S) : 1.20 p-value of test : 0.27 ----------------------------------------------- CPU time used : 00:02:38.25 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, 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) : 0.63 p-value of test : 0.61 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) : 0.31 p-value of test : 0.93 Test on the Nm values of W_{n,i}(mNP1): 0.30 p-value of test : 0.94 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 600 Number of jumps of Y : 617 p-value of test : 0.25 Stat. AD (mNP2) : 0.87 p-value of test : 0.44 Stat. AD after spacings (mNP2-S) : 0.49 p-value of test : 0.76 ----------------------------------------------- CPU time used : 00:01:41.32 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, 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) : 0.56 p-value of test : 0.68 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) : 1.65 p-value of test : 0.14 Test on the Nm values of W_{n,i}(mNP1): 0.53 p-value of test : 0.72 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 300 Number of jumps of Y : 316 p-value of test : 0.18 Stat. AD (mNP2) : 0.19 p-value of test : 0.9923 Stat. AD after spacings (mNP2-S) : 0.53 p-value of test : 0.72 ----------------------------------------------- CPU time used : 00:02:30.59 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, 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) : 0.36 p-value of test : 0.88 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) : 0.34 p-value of test : 0.90 Test on the Nm values of W_{n,i}(mNP1): 0.33 p-value of test : 0.91 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 150 Number of jumps of Y : 152 p-value of test : 0.45 Stat. AD (mNP2) : 0.30 p-value of test : 0.94 Stat. AD after spacings (mNP2-S) : 1.76 p-value of test : 0.13 ----------------------------------------------- CPU time used : 00:02:49.57 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, Linux stdin sknuth_SimpPoker test: ----------------------------------------------- N = 1, n = 400000000, r = 0, d = 8, k = 8 ----------------------------------------------- Number of degrees of freedom : 7 Chi-square statistic : 3.43 p-value of test : 0.84 ----------------------------------------------- CPU time used : 00:01:09.98 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, Linux stdin sknuth_SimpPoker test: ----------------------------------------------- N = 1, n = 400000000, r = 27, d = 8, k = 8 ----------------------------------------------- Number of degrees of freedom : 7 Chi-square statistic : 3.57 p-value of test : 0.83 ----------------------------------------------- CPU time used : 00:01:17.18 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, Linux stdin sknuth_SimpPoker test: ----------------------------------------------- N = 1, n = 100000000, r = 0, d = 32, k = 32 ----------------------------------------------- Number of degrees of freedom : 18 Chi-square statistic : 10.65 p-value of test : 0.91 ----------------------------------------------- CPU time used : 00:01:07.11 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, Linux stdin sknuth_SimpPoker test: ----------------------------------------------- N = 1, n = 100000000, r = 25, d = 32, k = 32 ----------------------------------------------- Number of degrees of freedom : 18 Chi-square statistic : 9.30 p-value of test : 0.95 ----------------------------------------------- CPU time used : 00:01:17.01 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, Linux stdin sknuth_CouponCollector test: ----------------------------------------------- N = 1, n = 200000000, r = 0, d = 8 ----------------------------------------------- Number of degrees of freedom : 54 Chi-square statistic : 52.08 p-value of test : 0.55 ----------------------------------------------- CPU time used : 00:01:27.05 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, Linux stdin sknuth_CouponCollector test: ----------------------------------------------- N = 1, n = 200000000, r = 10, d = 8 ----------------------------------------------- Number of degrees of freedom : 54 Chi-square statistic : 51.73 p-value of test : 0.56 ----------------------------------------------- CPU time used : 00:01:38.92 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, Linux stdin sknuth_CouponCollector test: ----------------------------------------------- N = 1, n = 200000000, r = 20, d = 8 ----------------------------------------------- Number of degrees of freedom : 54 Chi-square statistic : 46.82 p-value of test : 0.75 ----------------------------------------------- CPU time used : 00:01:39.60 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, Linux stdin sknuth_CouponCollector test: ----------------------------------------------- N = 1, n = 200000000, r = 27, d = 8 ----------------------------------------------- Number of degrees of freedom : 54 Chi-square statistic : 54.94 p-value of test : 0.44 ----------------------------------------------- CPU time used : 00:01:40.93 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, 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 : 189.44 p-value of test : 0.98 ----------------------------------------------- CPU time used : 00:01:44.48 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, 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 : 449.67 p-value of test : 0.29 ----------------------------------------------- CPU time used : 00:02:33.75 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, 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 : 1456.43 p-value of test : 0.35 ----------------------------------------------- CPU time used : 00:02:32.14 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, 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 : 7023.59 p-value of test : 0.57 ----------------------------------------------- CPU time used : 00:02:39.36 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, Linux stdin sknuth_Run test: ----------------------------------------------- N = 5, n = 1000000000, r = 0, Up = FALSE ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.13 p-value of test : 0.78 Kolmogorov-Smirnov- statistic = D- : 0.49 p-value of test : 0.06 Anderson-Darling statistic = A2 : 1.27 p-value of test : 0.24 Test on the sum of all N observations Number of degrees of freedom : 30 Chi-square statistic : 35.64 p-value of test : 0.22 ----------------------------------------------- CPU time used : 00:01:32.28 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, Linux stdin sknuth_Run test: ----------------------------------------------- N = 10, n = 1000000000, r = 15, Up = TRUE ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.10 p-value of test : 0.75 Kolmogorov-Smirnov- statistic = D- : 0.26 p-value of test : 0.23 Anderson-Darling statistic = A2 : 0.53 p-value of test : 0.71 Test on the sum of all N observations Number of degrees of freedom : 60 Chi-square statistic : 64.31 p-value of test : 0.33 ----------------------------------------------- CPU time used : 00:03:37.96 Generator state: N/A *********************************************************** Test sknuth_Permutation calling smultin_Multinomial *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, 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 : 3.69 p-value of test : 0.60 ----------------------------------------------- CPU time used : 00:00:59.67 Generator state: N/A *********************************************************** Test sknuth_Permutation calling smultin_Multinomial *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, 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 : 109.71 p-value of test : 0.72 ----------------------------------------------- CPU time used : 00:01:41.35 Generator state: N/A *********************************************************** Test sknuth_Permutation calling smultin_Multinomial *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, 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 : 5109.72 p-value of test : 0.24 ----------------------------------------------- CPU time used : 00:01:12.85 Generator state: N/A *********************************************************** Test sknuth_Permutation calling smultin_Multinomial *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, 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 : 0.88 ----------------------------------------------- CPU time used : 00:02:30.35 Generator state: N/A *********************************************************** Test sknuth_CollisionPermut calling smultin_Multinomial *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, 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 : 45911 p-value of test : 0.44 ----------------------------- Total number of cells containing j balls j = 0 : 1743165869911 j = 1 : 399908185 j = 2 : 45897 j = 3 : 7 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:03:34.06 Generator state: N/A *********************************************************** Test sknuth_CollisionPermut calling smultin_Multinomial *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, 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 : 45876 p-value of test : 0.51 ----------------------------- Total number of cells containing j balls j = 0 : 1743165869876 j = 1 : 399908250 j = 2 : 45872 j = 3 : 2 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:03:44.35 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, 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+ : 0.078 p-value of test : 0.59 Kolmogorov-Smirnov- statistic = D- : 0.15 p-value of test : 0.15 Anderson-Darling statistic = A2 : 1.09 p-value of test : 0.31 Test on the sum of all N observations Number of degrees of freedom : 3999960 Chi-square statistic : 4.00e+6 p-value of test : 0.27 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.066 p-value of test : 0.68 Kolmogorov-Smirnov- statistic = D- : 0.092 p-value of test : 0.48 Anderson-Darling statistic = A2 : 0.35 p-value of test : 0.90 ----------------------------------------------- CPU time used : 00:02:25.29 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, Linux stdin sknuth_MaxOft test: ----------------------------------------------- N = 30, n = 10000000, r = 0, d = 100000, t = 16 Number of categories = 100000 Expected number per category = 100.00 ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: Kolmogorov-Smirnov+ statistic = D+ : 0.15 p-value of test : 0.23 Kolmogorov-Smirnov- statistic = D- : 0.13 p-value of test : 0.34 Anderson-Darling statistic = A2 : 0.97 p-value of test : 0.37 Test on the sum of all N observations Number of degrees of freedom : 2999970 Chi-square statistic : 3.00e+6 p-value of test : 0.74 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.031 p-value of test : 0.92 Kolmogorov-Smirnov- statistic = D- : 0.16 p-value of test : 0.18 Anderson-Darling statistic = A2 : 0.68 p-value of test : 0.57 ----------------------------------------------- CPU time used : 00:02:19.52 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, Linux stdin sknuth_MaxOft test: ----------------------------------------------- N = 20, n = 10000000, r = 0, d = 100000, t = 24 Number of categories = 100000 Expected number per category = 100.00 ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: Kolmogorov-Smirnov+ statistic = D+ : 0.18 p-value of test : 0.25 Kolmogorov-Smirnov- statistic = D- : 0.042 p-value of test : 0.91 Anderson-Darling statistic = A2 : 1.44 p-value of test : 0.19 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 p-value of test : 0.94 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.12 p-value of test : 0.51 Kolmogorov-Smirnov- statistic = D- : 0.10 p-value of test : 0.62 Anderson-Darling statistic = A2 : 0.39 p-value of test : 0.86 ----------------------------------------------- CPU time used : 00:01:53.95 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, 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+ : 7.13e-3 p-value of test : 0.9918 Kolmogorov-Smirnov- statistic = D- : 0.34 p-value of test : 7.2e-3 Anderson-Darling statistic = A2 : 3.41 p-value of test : 0.02 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 p-value of test : 6.5e-3 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.14 p-value of test : 0.43 Kolmogorov-Smirnov- statistic = D- : 0.11 p-value of test : 0.60 Anderson-Darling statistic = A2 : 0.69 p-value of test : 0.56 ----------------------------------------------- CPU time used : 00:02:13.59 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, Linux stdin svaria_SampleProd test: ----------------------------------------------- N = 40, n = 10000000, r = 0, t = 8 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.018 p-value of test : 0.96 Kolmogorov-Smirnov- statistic = D- : 0.23 p-value of test : 0.01 Anderson-Darling statistic = A2 : 2.33 p-value of test : 0.06 ----------------------------------------------- CPU time used : 00:01:45.37 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, Linux stdin svaria_SampleProd test: ----------------------------------------------- N = 20, n = 10000000, r = 0, t = 16 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 8.86e-3 p-value of test : 0.99 Kolmogorov-Smirnov- statistic = D- : 0.18 p-value of test : 0.24 Anderson-Darling statistic = A2 : 1.56 p-value of test : 0.16 ----------------------------------------------- CPU time used : 00:01:17.85 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, Linux stdin svaria_SampleProd test: ----------------------------------------------- N = 20, n = 10000000, r = 0, t = 24 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.045 p-value of test : 0.90 Kolmogorov-Smirnov- statistic = D- : 0.16 p-value of test : 0.34 Anderson-Darling statistic = A2 : 0.74 p-value of test : 0.52 ----------------------------------------------- CPU time used : 00:01:39.75 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, Linux stdin svaria_SampleMean test: ----------------------------------------------- N = 20000000, n = 30, r = 0 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 2.79e-5 p-value of test : 0.97 Kolmogorov-Smirnov- statistic = D- : 1.64e-4 p-value of test : 0.34 Anderson-Darling statistic = A2 : 0.58 p-value of test : 0.67 ----------------------------------------------- CPU time used : 00:00:25.54 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, Linux stdin svaria_SampleMean test: ----------------------------------------------- N = 20000000, n = 30, r = 10 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 4.81e-5 p-value of test : 0.91 Kolmogorov-Smirnov- statistic = D- : 1.80e-4 p-value of test : 0.27 Anderson-Darling statistic = A2 : 0.81 p-value of test : 0.47 ----------------------------------------------- CPU time used : 00:00:28.72 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, Linux stdin svaria_SampleCorr test: ----------------------------------------------- N = 1, n = 2000000000, r = 0, k = 1 ----------------------------------------------- Normal statistic : -0.73 p-value of test : 0.77 ----------------------------------------------- CPU time used : 00:00:28.95 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, Linux stdin svaria_SampleCorr test: ----------------------------------------------- N = 1, n = 2000000000, r = 0, k = 2 ----------------------------------------------- Normal statistic : -1.91 p-value of test : 0.97 ----------------------------------------------- CPU time used : 00:00:29.35 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, 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 : -0.35 p-value of test : 0.64 ----------------------------------------------- CPU time used : 00:01:38.45 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, 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 : -0.71 p-value of test : 0.76 ----------------------------------------------- CPU time used : 00:01:41.28 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, 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 : 50.44 p-value of test : 0.93 ----------------------------------------------- CPU time used : 00:01:04.62 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, 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 : 71.09 p-value of test : 0.34 ----------------------------------------------- CPU time used : 00:01:23.09 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, 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 : 64.58 p-value of test : 0.56 ----------------------------------------------- CPU time used : 00:01:23.12 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, 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 : 24.70 p-value of test : 0.94 ----------------------------------------------- CPU time used : 00:01:03.82 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, 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 : 29.75 p-value of test : 0.80 ----------------------------------------------- CPU time used : 00:01:23.45 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, 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 : 35.81 p-value of test : 0.52 ----------------------------------------------- CPU time used : 00:01:22.32 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, Linux stdin svaria_SumCollector test: ----------------------------------------------- N = 1, n = 500000000, r = 0, g = 10 ----------------------------------------------- Number of degrees of freedom : 29 Chi-square statistic : 27.22 p-value of test : 0.56 ----------------------------------------------- CPU time used : 00:02:10.03 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, Linux stdin smarsa_MatrixRank test: ----------------------------------------------- N = 10, n = 1000000, r = 0, s = 5, L = 30, k = 30 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.16 p-value of test : 0.54 Kolmogorov-Smirnov- statistic = D- : 0.15 p-value of test : 0.57 Anderson-Darling statistic = A2 : 0.44 p-value of test : 0.81 Test on the sum of all N observations Number of degrees of freedom : 40 Chi-square statistic : 34.92 p-value of test : 0.70 ----------------------------------------------- CPU time used : 00:01:10.65 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, Linux stdin smarsa_MatrixRank test: ----------------------------------------------- N = 10, n = 1000000, r = 25, s = 5, L = 30, k = 30 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.13 p-value of test : 0.66 Kolmogorov-Smirnov- statistic = D- : 0.076 p-value of test : 0.85 Anderson-Darling statistic = A2 : 0.20 p-value of test : 0.9910 Test on the sum of all N observations Number of degrees of freedom : 40 Chi-square statistic : 39.55 p-value of test : 0.49 ----------------------------------------------- CPU time used : 00:01:10.51 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, 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 : 1.54 p-value of test : 0.67 ----------------------------------------------- CPU time used : 00:01:54.42 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, 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 : 3.90 p-value of test : 0.27 ----------------------------------------------- CPU time used : 00:01:54.79 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, 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 : 3.19 p-value of test : 0.20 ----------------------------------------------- CPU time used : 00:02:08.56 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, Linux stdin smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 80, r = 0, s = 30, L = 5000, k = 5000 ----------------------------------------------- Number of degrees of freedom : 2 Chi-square statistic : 1.60 p-value of test : 0.45 ----------------------------------------------- CPU time used : 00:02:00.29 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, Linux stdin smarsa_Savir2 test: ----------------------------------------------- N = 10, n = 10000000, r = 10, m = 1048576, t = 30 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.22 p-value of test : 0.34 Kolmogorov-Smirnov- statistic = D- : 0.059 p-value of test : 0.90 Anderson-Darling statistic = A2 : 0.71 p-value of test : 0.55 Test on the sum of all N observations Number of degrees of freedom : 130 Chi-square statistic : 112.51 p-value of test : 0.86 ----------------------------------------------- CPU time used : 00:00:41.50 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, Linux stdin smarsa_GCD test: ----------------------------------------------- N = 10, n = 50000000, r = 0, s = 30 ----------------------------------------------- Test results for GCD values: Kolmogorov-Smirnov+ statistic = D+ : 0.18 p-value of test : 0.48 Kolmogorov-Smirnov- statistic = D- : 0.13 p-value of test : 0.65 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 : 17430 Chi-square statistic :17343.13 p-value of test : 0.68 ----------------------------------------------- CPU time used : 00:01:38.26 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, 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 : 32.77 p-value of test : 0.62 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 ChiSquare statistic : 24.52 p-value of test : 0.91 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 ChiSquare statistic : 23.73 p-value of test : 0.53 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 ChiSquare statistic : 26.28 p-value of test : 0.34 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 ChiSquare statistic : 19.71 p-value of test : 0.29 ----------------------------------------------- CPU time used : 00:00:39.12 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, 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 : 31.26 p-value of test : 0.69 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 ChiSquare statistic : 30.05 p-value of test : 0.71 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 ChiSquare statistic : 26.09 p-value of test : 0.40 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 ChiSquare statistic : 31.04 p-value of test : 0.15 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 ChiSquare statistic : 22.41 p-value of test : 0.17 ----------------------------------------------- CPU time used : 00:00:40.12 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, 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 : 124.45 p-value of test : 0.90 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 ChiSquare statistic : 175.11 p-value of test : 0.05 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 ChiSquare statistic : 489.22 p-value of test : 0.63 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 ChiSquare statistic : 137.06 p-value of test : 0.46 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 ChiSquare statistic : 59.21 p-value of test : 0.89 ----------------------------------------------- CPU time used : 00:00:45.96 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, 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 : 142.47 p-value of test : 0.57 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 ChiSquare statistic : 155.76 p-value of test : 0.27 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 ChiSquare statistic : 502.89 p-value of test : 0.46 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 ChiSquare statistic : 112.96 p-value of test : 0.93 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 ChiSquare statistic : 83.87 p-value of test : 0.20 ----------------------------------------------- CPU time used : 00:00:44.12 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, 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 : 366.38 p-value of test : 0.73 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 ChiSquare statistic : 400.25 p-value of test : 0.27 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 ChiSquare statistic : 4988.04 p-value of test : 0.55 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 ChiSquare statistic : 409.32 p-value of test : 0.13 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 ChiSquare statistic : 188.45 p-value of test : 0.71 ----------------------------------------------- CPU time used : 00:00:37.27 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, 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 : 401.62 p-value of test : 0.26 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 ChiSquare statistic : 357.02 p-value of test : 0.83 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 ChiSquare statistic : 5004.13 p-value of test : 0.48 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 ChiSquare statistic : 333.95 p-value of test : 0.95 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 ChiSquare statistic : 203.32 p-value of test : 0.42 ----------------------------------------------- CPU time used : 00:00:35.56 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, Linux stdin scomp_LinearComp test: ----------------------------------------------- N = 1, n = 400020, r = 0, s = 1 ----------------------------------------------- Number of degrees of freedom : 12 Chi2 statistic for size of jumps : 6.70 p-value of test : 0.88 ----------------------------------------------- Normal statistic for number of jumps : 0.87 p-value of test : 0.19 ----------------------------------------------- CPU time used : 00:01:52.28 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, 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 : 20.84 p-value of test : 0.05 ----------------------------------------------- Normal statistic for number of jumps : 0.54 p-value of test : 0.29 ----------------------------------------------- CPU time used : 00:01:53.68 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, Linux stdin scomp_LempelZiv test: ----------------------------------------------- N = 10, n = 134217728, r = 0, s = 30, k = 27 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.39 p-value of test : 0.03 Kolmogorov-Smirnov- statistic = D- : 0.044 p-value of test : 0.93 Anderson-Darling statistic = A2 : 1.92 p-value of test : 0.10 Tests on the sum of all N observations Standardized normal statistic : -1.37 p-value of test : 0.91 Sample variance : 1.35 p-value of test : 0.21 ----------------------------------------------- CPU time used : 00:01:09.65 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, Linux stdin scomp_LempelZiv test: ----------------------------------------------- N = 10, n = 134217728, r = 15, s = 15, k = 27 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.28 p-value of test : 0.17 Kolmogorov-Smirnov- statistic = D- : 0.059 p-value of test : 0.90 Anderson-Darling statistic = A2 : 1.58 p-value of test : 0.16 Tests on the sum of all N observations Standardized normal statistic : -1.66 p-value of test : 0.95 Sample variance : 1.66 p-value of test : 0.09 ----------------------------------------------- CPU time used : 00:01:10.72 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, Linux stdin sspectral_Fourier3 test: ----------------------------------------------- N = 100000, n = 16384, r = 0, s = 3, k = 14 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.016 p-value of test : 0.13 Kolmogorov-Smirnov- statistic = D- : 4.86e-3 p-value of test : 0.82 Anderson-Darling statistic = A2 : 0.84 p-value of test : 0.46 ----------------------------------------------- CPU time used : 00:00:42.89 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, Linux stdin sspectral_Fourier3 test: ----------------------------------------------- N = 100000, n = 16384, r = 27, s = 3, k = 14 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 6.80e-3 p-value of test : 0.68 Kolmogorov-Smirnov- statistic = D- : 6.13e-3 p-value of test : 0.73 Anderson-Darling statistic = A2 : 0.40 p-value of test : 0.85 ----------------------------------------------- CPU time used : 00:00:42.39 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, Linux stdin sstring_LongestHeadRun test: ----------------------------------------------- N = 1, n = 1000, r = 0, s = 3, L = 10000020 ----------------------------------------------- Number of degrees of freedom : 8 Chi-square statistic : 5.22 p-value of test : 0.73 ----------------------------------------------- Global longest run of 1 : 33.00 p-value of test : 0.44 ----------------------------------------------- CPU time used : 00:01:24.29 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, Linux stdin sstring_LongestHeadRun test: ----------------------------------------------- N = 1, n = 1000, r = 27, s = 3, L = 10000020 ----------------------------------------------- Number of degrees of freedom : 8 Chi-square statistic : 1.70 p-value of test : 0.99 ----------------------------------------------- Global longest run of 1 : 32.00 p-value of test : 0.50 ----------------------------------------------- CPU time used : 00:01:26.93 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, Linux stdin sstring_PeriodsInStrings test: ----------------------------------------------- N = 10, n = 500000000, r = 0, s = 10 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.22 p-value of test : 0.32 Kolmogorov-Smirnov- statistic = D- : 0.19 p-value of test : 0.43 Anderson-Darling statistic = A2 : 0.68 p-value of test : 0.57 Test on the sum of all N observations Number of degrees of freedom : 200 Chi-square statistic : 202.93 p-value of test : 0.43 ----------------------------------------------- CPU time used : 00:02:23.40 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, Linux stdin sstring_PeriodsInStrings test: ----------------------------------------------- N = 10, n = 500000000, r = 20, s = 10 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.10 p-value of test : 0.75 Kolmogorov-Smirnov- statistic = D- : 0.17 p-value of test : 0.50 Anderson-Darling statistic = A2 : 0.41 p-value of test : 0.83 Test on the sum of all N observations Number of degrees of freedom : 200 Chi-square statistic : 208.47 p-value of test : 0.33 ----------------------------------------------- CPU time used : 00:02:25.42 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, Linux stdin sstring_HammingWeight2 test: ----------------------------------------------- N = 10, n = 1000000000, r = 0, s = 3, L = 1000000 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.35 p-value of test : 0.07 Kolmogorov-Smirnov- statistic = D- : 0.069 p-value of test : 0.87 Anderson-Darling statistic = A2 : 1.77 p-value of test : 0.12 Test on the sum of all N observations Number of degrees of freedom : 10000 Chi-square statistic : 9804.38 p-value of test : 0.92 ----------------------------------------------- CPU time used : 00:01:00.13 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, Linux stdin sstring_HammingWeight2 test: ----------------------------------------------- N = 10, n = 1000000000, r = 27, s = 3, L = 1000000 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.077 p-value of test : 0.85 Kolmogorov-Smirnov- statistic = D- : 0.30 p-value of test : 0.13 Anderson-Darling statistic = A2 : 1.17 p-value of test : 0.28 Test on the sum of all N observations Number of degrees of freedom : 10000 Chi-square statistic :10164.70 p-value of test : 0.12 ----------------------------------------------- CPU time used : 00:01:02.98 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, Linux stdin sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 1000000000, r = 10, s = 10, L = 30 ----------------------------------------------- Normal statistic : -0.71 p-value of test : 0.76 ----------------------------------------------- CPU time used : 00:01:12.34 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, Linux stdin sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 100000000, r = 10, s = 10, L = 300 ----------------------------------------------- Normal statistic : 6.96e-3 p-value of test : 0.50 ----------------------------------------------- CPU time used : 00:01:08.37 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, Linux stdin sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 100000000, r = 10, s = 10, L = 1200 ----------------------------------------------- Normal statistic : 2.15 p-value of test : 0.02 ----------------------------------------------- CPU time used : 00:04:36.47 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, 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 : 0.71 Kolmogorov-Smirnov- statistic = D- : 0.21 p-value of test : 0.37 Anderson-Darling statistic = A2 : 0.56 p-value of test : 0.68 Test on the sum of all N observations Number of degrees of freedom : 4890 Chi-square statistic : 4942.91 p-value of test : 0.29 ----------------------------------------------- CPU time used : 00:01:55.73 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, 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+ : 1.75e-3 p-value of test : 0.9982 Kolmogorov-Smirnov- statistic = D- : 0.22 p-value of test : 0.35 Anderson-Darling statistic = A2 : 1.19 p-value of test : 0.27 Test on the sum of all N observations Number of degrees of freedom : 4890 Chi-square statistic : 5052.74 p-value of test : 0.05 ----------------------------------------------- CPU time used : 00:02:01.11 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, 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 : 4038.63 p-value of test : 0.81 ----------------------------------------------- CPU time used : 00:01:24.54 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, 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 : 4202.76 p-value of test : 0.17 ----------------------------------------------- CPU time used : 00:01:28.27 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, 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 :11721.27 p-value of test : 0.75 ----------------------------------------------- CPU time used : 00:01:33.63 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, 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 :11993.20 p-value of test : 0.14 ----------------------------------------------- CPU time used : 00:01:35.92 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, 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 : 39.48 p-value of test : 0.93 ----------------------------------------------- Total number of bits: 7999956990 Normal statistic for number of bits : -0.34 p-value of test : 0.63 ----------------------------------------------- CPU time used : 00:01:09.52 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, 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 : 53.08 p-value of test : 0.51 ----------------------------------------------- Total number of bits: 7999921692 Normal statistic for number of bits : -0.62 p-value of test : 0.73 ----------------------------------------------- CPU time used : 00:01:09.32 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, Linux stdin sstring_AutoCor test: ----------------------------------------------- N = 10, n = 1000000030, r = 0, s = 3, d = 1 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.17 p-value of test : 0.50 Kolmogorov-Smirnov- statistic = D- : 0.18 p-value of test : 0.46 Anderson-Darling statistic = A2 : 0.31 p-value of test : 0.93 Tests on the sum of all N observations Standardized normal statistic : 0.11 p-value of test : 0.46 Sample variance : 1.17 p-value of test : 0.31 ----------------------------------------------- CPU time used : 00:02:17.20 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, Linux stdin sstring_AutoCor test: ----------------------------------------------- N = 10, n = 1000000029, r = 0, s = 3, d = 3 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.062 p-value of test : 0.89 Kolmogorov-Smirnov- statistic = D- : 0.25 p-value of test : 0.24 Anderson-Darling statistic = A2 : 0.60 p-value of test : 0.65 Tests on the sum of all N observations Standardized normal statistic : 0.73 p-value of test : 0.23 Sample variance : 0.74 p-value of test : 0.67 ----------------------------------------------- CPU time used : 00:02:06.20 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, Linux stdin sstring_AutoCor test: ----------------------------------------------- N = 10, n = 1000000030, r = 27, s = 3, d = 1 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.16 p-value of test : 0.55 Kolmogorov-Smirnov- statistic = D- : 0.13 p-value of test : 0.64 Anderson-Darling statistic = A2 : 0.43 p-value of test : 0.82 Tests on the sum of all N observations Standardized normal statistic : -0.51 p-value of test : 0.70 Sample variance : 1.27 p-value of test : 0.25 ----------------------------------------------- CPU time used : 00:02:17.96 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, Linux stdin sstring_AutoCor test: ----------------------------------------------- N = 10, n = 1000000029, r = 27, s = 3, d = 3 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.18 p-value of test : 0.48 Kolmogorov-Smirnov- statistic = D- : 0.13 p-value of test : 0.64 Anderson-Darling statistic = A2 : 0.40 p-value of test : 0.85 Tests on the sum of all N observations Standardized normal statistic : -0.36 p-value of test : 0.64 Sample variance : 0.61 p-value of test : 0.79 ----------------------------------------------- CPU time used : 00:02:07.26 Generator state: N/A ========= Summary results of BigCrush ========= Version: TestU01 1.2.3 Generator: stdin Number of statistics: 160 Total CPU time: 03:47:04.67 All tests were passed # # End: 2022-04-06 20:26:36 # # Exit value: 0 # Bytes used: 1428432289792 >= 2^40 (1.4 TB) # # Test duration: 227.40296666666666 minutes #