# # RandomSource: L64_X128_MIX # RNG: org.apache.commons.rng.core.source64.L64X128Mix # Seed: 4d81699a881ecde83b74b18f84a7e919d656058948921199eae701caa069b208 # # 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 : 0.04 ----------------------------------------------- CPU time used : 00:01:16.96 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 : 0.79 ----------------------------------------------- CPU time used : 00:01:16.78 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 : 1387 p-value of test : 0.27 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334507 j = 1 : 599997226 j = 2 : 1387 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:04:42.82 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 = 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 : 1365 p-value of test : 0.50 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334485 j = 1 : 599997270 j = 2 : 1365 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:04:39.34 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 : 1361 p-value of test : 0.53 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334481 j = 1 : 599997278 j = 2 : 1361 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:06:06.39 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 : 1356 p-value of test : 0.58 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334476 j = 1 : 599997288 j = 2 : 1356 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:06:10.42 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 : 1378 p-value of test : 0.36 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334498 j = 1 : 599997244 j = 2 : 1378 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:06:16.49 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 : 1350 p-value of test : 0.64 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334470 j = 1 : 599997300 j = 2 : 1350 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:06:09.86 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 : 1403 p-value of test : 0.15 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334523 j = 1 : 599997194 j = 2 : 1403 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:06:08.86 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 : 1336 p-value of test : 0.77 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334456 j = 1 : 599997328 j = 2 : 1336 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:06:11.59 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 = 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 : 1358 p-value of test : 0.56 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334478 j = 1 : 599997284 j = 2 : 1358 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:06:15.46 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 = 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 : 1332 p-value of test : 0.80 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334452 j = 1 : 599997336 j = 2 : 1332 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:06:11.09 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 : 5420 p-value of test : 0.50 ----------------------------------------------- CPU time used : 00:03:27.03 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 : 4384 p-value of test : 0.24 ----------------------------------------------- CPU time used : 00:01:30.03 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 : 7293 p-value of test : 0.61 ----------------------------------------------- CPU time used : 00:02:26.25 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 : 4368 p-value of test : 0.32 ----------------------------------------------- CPU time used : 00:01:46.55 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 : 4358 p-value of test : 0.38 ----------------------------------------------- CPU time used : 00:01:57.46 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 : 7387 p-value of test : 0.21 ----------------------------------------------- CPU time used : 00:02:59.39 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 : 7328 p-value of test : 0.46 ----------------------------------------------- CPU time used : 00:02:59.39 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 : 7367 p-value of test : 0.29 ----------------------------------------------- CPU time used : 00:03:59.10 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 : 7408 p-value of test : 0.15 ----------------------------------------------- CPU time used : 00:04:12.73 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) : 1.34 p-value of test : 0.22 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) : 0.37 p-value of test : 0.88 Test on the Nm values of W_{n,i}(mNP1): 1.27 p-value of test : 0.24 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 900 Number of jumps of Y : 932 p-value of test : 0.15 Stat. AD (mNP2) : 0.36 p-value of test : 0.89 Stat. AD after spacings (mNP2-S) : 0.63 p-value of test : 0.62 ----------------------------------------------- CPU time used : 00:02:40.85 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) : 0.53 p-value of test : 0.72 A2 test based on the spacings between the successive jump times of process Y_n(t): A2 test on the values of A2 (m-NP) : 0.45 p-value of test : 0.80 Test on the Nm values of W_{n,i}(mNP1): 0.67 p-value of test : 0.58 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 600 Number of jumps of Y : 614 p-value of test : 0.29 Stat. AD (mNP2) : 1.22 p-value of test : 0.26 Stat. AD after spacings (mNP2-S) : 0.50 p-value of test : 0.74 ----------------------------------------------- CPU time used : 00:01:41.77 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) : 0.75 p-value of test : 0.52 A2 test based on the spacings between the successive jump times of process Y_n(t): A2 test on the values of A2 (m-NP) : 0.99 p-value of test : 0.36 Test on the Nm values of W_{n,i}(mNP1): 0.88 p-value of test : 0.43 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 300 Number of jumps of Y : 305 p-value of test : 0.39 Stat. AD (mNP2) : 0.51 p-value of test : 0.74 Stat. AD after spacings (mNP2-S) : 0.59 p-value of test : 0.66 ----------------------------------------------- CPU time used : 00:02:29.85 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) : 3.10 p-value of test : 0.03 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) : 1.31 p-value of test : 0.23 Test on the Nm values of W_{n,i}(mNP1): 0.82 p-value of test : 0.47 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 150 Number of jumps of Y : 139 p-value of test : 0.80 Stat. AD (mNP2) : 0.84 p-value of test : 0.45 Stat. AD after spacings (mNP2-S) : 0.68 p-value of test : 0.58 ----------------------------------------------- CPU time used : 00:02:45.71 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 : 3.07 p-value of test : 0.88 ----------------------------------------------- CPU time used : 00:01:08.28 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 : 11.44 p-value of test : 0.12 ----------------------------------------------- CPU time used : 00:01:16.90 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 : 20.56 p-value of test : 0.30 ----------------------------------------------- CPU time used : 00:01:07.88 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 : 13.90 p-value of test : 0.74 ----------------------------------------------- CPU time used : 00:01:16.72 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 : 64.32 p-value of test : 0.16 ----------------------------------------------- CPU time used : 00:01:26.81 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 : 63.07 p-value of test : 0.19 ----------------------------------------------- CPU time used : 00:01:38.30 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 : 49.01 p-value of test : 0.67 ----------------------------------------------- CPU time used : 00:01:37.64 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 : 46.03 p-value of test : 0.77 ----------------------------------------------- CPU time used : 00:01:38.56 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 : 220.44 p-value of test : 0.70 ----------------------------------------------- CPU time used : 00:01:43.89 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 : 406.28 p-value of test : 0.83 ----------------------------------------------- CPU time used : 00:02:35.03 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 : 1480.46 p-value of test : 0.21 ----------------------------------------------- CPU time used : 00:02:32.56 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 : 7069.39 p-value of test : 0.42 ----------------------------------------------- CPU time used : 00:02:38.81 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+ : 0.36 p-value of test : 0.22 Kolmogorov-Smirnov- statistic = D- : 0.27 p-value of test : 0.42 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 : 30 Chi-square statistic : 25.86 p-value of test : 0.68 ----------------------------------------------- CPU time used : 00:01:33.22 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+ : 0.11 p-value of test : 0.75 Kolmogorov-Smirnov- statistic = D- : 0.29 p-value of test : 0.15 Anderson-Darling statistic = A2 : 0.92 p-value of test : 0.40 Test on the sum of all N observations Number of degrees of freedom : 60 Chi-square statistic : 65.57 p-value of test : 0.29 ----------------------------------------------- CPU time used : 00:03:37.50 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 : 2.64 p-value of test : 0.76 ----------------------------------------------- CPU time used : 00:00:59.31 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 : 101.85 p-value of test : 0.87 ----------------------------------------------- CPU time used : 00:01:41.93 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 : 4782.31 p-value of test : 0.9953 ----------------------------------------------- CPU time used : 00:01:14.77 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 : 0.82 ----------------------------------------------- CPU time used : 00:02:30.85 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 : 45690 p-value of test : 0.81 ----------------------------- Total number of cells containing j balls j = 0 : 1743165869690 j = 1 : 399908625 j = 2 : 45680 j = 3 : 5 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:03:35.11 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 : 46238 p-value of test : 0.05 ----------------------------- Total number of cells containing j balls j = 0 : 1743165870238 j = 1 : 399907528 j = 2 : 46230 j = 3 : 4 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:03:45.22 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+ : 0.067 p-value of test : 0.67 Kolmogorov-Smirnov- statistic = D- : 0.081 p-value of test : 0.56 Anderson-Darling statistic = A2 : 0.42 p-value of test : 0.83 Test on the sum of all N observations Number of degrees of freedom : 3999960 Chi-square statistic : 4.00e+6 p-value of test : 0.35 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.21 p-value of test : 0.02 Kolmogorov-Smirnov- statistic = D- : 0.027 p-value of test : 0.93 Anderson-Darling statistic = A2 : 2.30 p-value of test : 0.06 ----------------------------------------------- CPU time used : 00:02:22.18 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+ : 0.17 p-value of test : 0.17 Kolmogorov-Smirnov- statistic = D- : 0.067 p-value of test : 0.73 Anderson-Darling statistic = A2 : 1.15 p-value of test : 0.29 Test on the sum of all N observations Number of degrees of freedom : 2999970 Chi-square statistic : 3.00e+6 p-value of test : 0.82 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.077 p-value of test : 0.67 Kolmogorov-Smirnov- statistic = D- : 0.071 p-value of test : 0.71 Anderson-Darling statistic = A2 : 0.22 p-value of test : 0.99 ----------------------------------------------- CPU time used : 00:02:19.42 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+ : 0.25 p-value of test : 0.07 Kolmogorov-Smirnov- statistic = D- : 0.075 p-value of test : 0.76 Anderson-Darling statistic = A2 : 1.82 p-value of test : 0.12 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 p-value of test : 0.93 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.089 p-value of test : 0.69 Kolmogorov-Smirnov- statistic = D- : 0.21 p-value of test : 0.15 Anderson-Darling statistic = A2 : 0.94 p-value of test : 0.39 ----------------------------------------------- CPU time used : 00:01:52.82 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+ : 0.11 p-value of test : 0.55 Kolmogorov-Smirnov- statistic = D- : 0.14 p-value of test : 0.42 Anderson-Darling statistic = A2 : 0.52 p-value of test : 0.73 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 p-value of test : 0.45 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.17 p-value of test : 0.29 Kolmogorov-Smirnov- statistic = D- : 0.080 p-value of test : 0.74 Anderson-Darling statistic = A2 : 0.43 p-value of test : 0.82 ----------------------------------------------- CPU time used : 00:02:14.80 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+ : 0.15 p-value of test : 0.16 Kolmogorov-Smirnov- statistic = D- : 0.079 p-value of test : 0.57 Anderson-Darling statistic = A2 : 0.83 p-value of test : 0.46 ----------------------------------------------- CPU time used : 00:01:45.13 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+ : 0.35 p-value of test : 5.7e-3 Kolmogorov-Smirnov- statistic = D- : 0.059 p-value of test : 0.84 Anderson-Darling statistic = A2 : 2.69 p-value of test : 0.04 ----------------------------------------------- CPU time used : 00:01:16.73 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+ : 0.084 p-value of test : 0.72 Kolmogorov-Smirnov- statistic = D- : 0.24 p-value of test : 0.08 Anderson-Darling statistic = A2 : 0.88 p-value of test : 0.43 ----------------------------------------------- CPU time used : 00:01:42.04 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+ : 2.86e-4 p-value of test : 0.04 Kolmogorov-Smirnov- statistic = D- : 9.33e-5 p-value of test : 0.71 Anderson-Darling statistic = A2 : 3.09 p-value of test : 0.02 ----------------------------------------------- CPU time used : 00:00:26.37 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+ : 1.60e-4 p-value of test : 0.36 Kolmogorov-Smirnov- statistic = D- : 4.73e-5 p-value of test : 0.91 Anderson-Darling statistic = A2 : 0.67 p-value of test : 0.58 ----------------------------------------------- CPU time used : 00:00:26.89 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 : -0.99 p-value of test : 0.84 ----------------------------------------------- CPU time used : 00:00:26.43 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 : 1.47 p-value of test : 0.07 ----------------------------------------------- CPU time used : 00:00:29.06 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 : 0.76 p-value of test : 0.22 ----------------------------------------------- CPU time used : 00:01:39.40 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 : -0.045 p-value of test : 0.52 ----------------------------------------------- CPU time used : 00:01:40.39 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 : 53.92 p-value of test : 0.88 ----------------------------------------------- CPU time used : 00:01:04.55 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 : 50.00 p-value of test : 0.94 ----------------------------------------------- CPU time used : 00:01:23.31 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 : 79.05 p-value of test : 0.15 ----------------------------------------------- CPU time used : 00:01:23.29 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 : 58.97 p-value of test : 0.01 ----------------------------------------------- CPU time used : 00:01:04.94 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 : 56.53 p-value of test : 0.02 ----------------------------------------------- CPU time used : 00:01:22.92 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 : 36.87 p-value of test : 0.47 ----------------------------------------------- CPU time used : 00:01:23.04 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 : 25.91 p-value of test : 0.63 ----------------------------------------------- CPU time used : 00:02:14.22 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+ : 0.25 p-value of test : 0.24 Kolmogorov-Smirnov- statistic = D- : 0.064 p-value of test : 0.89 Anderson-Darling statistic = A2 : 0.96 p-value of test : 0.38 Test on the sum of all N observations Number of degrees of freedom : 40 Chi-square statistic : 28.26 p-value of test : 0.92 ----------------------------------------------- CPU time used : 00:01:14.50 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+ : 0.34 p-value of test : 0.07 Kolmogorov-Smirnov- statistic = D- : 0.15 p-value of test : 0.57 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 : 40 Chi-square statistic : 31.61 p-value of test : 0.83 ----------------------------------------------- CPU time used : 00:01:09.38 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 : 5.45 p-value of test : 0.14 ----------------------------------------------- CPU time used : 00:01:52.95 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 : 7.35 p-value of test : 0.06 ----------------------------------------------- CPU time used : 00:01:53.35 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 : 0.075 p-value of test : 0.96 ----------------------------------------------- CPU time used : 00:01:56.35 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 : 0.58 p-value of test : 0.75 ----------------------------------------------- CPU time used : 00:02:16.31 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+ : 0.095 p-value of test : 0.78 Kolmogorov-Smirnov- statistic = D- : 0.20 p-value of test : 0.39 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 : 130 Chi-square statistic : 136.43 p-value of test : 0.33 ----------------------------------------------- CPU time used : 00:00:41.88 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 : 0.47 Kolmogorov-Smirnov- statistic = D- : 0.14 p-value of test : 0.61 Anderson-Darling statistic = A2 : 0.61 p-value of test : 0.64 Test on the sum of all N observations Number of degrees of freedom : 17430 Chi-square statistic :17333.32 p-value of test : 0.70 ----------------------------------------------- CPU time used : 00:01:39.61 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 : 32.07 p-value of test : 0.66 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 ChiSquare statistic : 40.53 p-value of test : 0.24 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 ChiSquare statistic : 10.01 p-value of test : 0.9966 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 ChiSquare statistic : 21.44 p-value of test : 0.61 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 ChiSquare statistic : 18.56 p-value of test : 0.35 ----------------------------------------------- CPU time used : 00:00:38.48 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 : 33.41 p-value of test : 0.59 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 ChiSquare statistic : 36.65 p-value of test : 0.39 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 ChiSquare statistic : 11.67 p-value of test : 0.99 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 ChiSquare statistic : 22.28 p-value of test : 0.56 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 ChiSquare statistic : 9.72 p-value of test : 0.91 ----------------------------------------------- CPU time used : 00:00:40.09 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 : 137.50 p-value of test : 0.68 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 ChiSquare statistic : 140.59 p-value of test : 0.61 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 ChiSquare statistic : 476.25 p-value of test : 0.77 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 ChiSquare statistic : 159.37 p-value of test : 0.08 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 ChiSquare statistic : 71.65 p-value of test : 0.56 ----------------------------------------------- CPU time used : 00:00:45.42 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 : 109.02 p-value of test : 0.9904 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 ChiSquare statistic : 122.36 p-value of test : 0.92 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 ChiSquare statistic : 437.26 p-value of test : 0.98 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 ChiSquare statistic : 151.51 p-value of test : 0.17 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 ChiSquare statistic : 90.08 p-value of test : 0.10 ----------------------------------------------- CPU time used : 00:00:44.36 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 : 410.87 p-value of test : 0.17 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 ChiSquare statistic : 390.87 p-value of test : 0.39 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 ChiSquare statistic : 4978.01 p-value of test : 0.58 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 ChiSquare statistic : 395.61 p-value of test : 0.26 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 ChiSquare statistic : 228.96 p-value of test : 0.08 ----------------------------------------------- CPU time used : 00:00:35.70 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 : 370.45 p-value of test : 0.68 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 ChiSquare statistic : 370.12 p-value of test : 0.69 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 ChiSquare statistic : 4957.29 p-value of test : 0.66 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 ChiSquare statistic : 396.57 p-value of test : 0.25 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 ChiSquare statistic : 217.19 p-value of test : 0.19 ----------------------------------------------- CPU time used : 00:00:35.13 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 : 14.18 p-value of test : 0.29 ----------------------------------------------- Normal statistic for number of jumps : -0.19 p-value of test : 0.58 ----------------------------------------------- CPU time used : 00:01:55.95 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 : 16.60 p-value of test : 0.17 ----------------------------------------------- Normal statistic for number of jumps : 0.89 p-value of test : 0.19 ----------------------------------------------- CPU time used : 00:01:55.29 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+ : 0.16 p-value of test : 0.56 Kolmogorov-Smirnov- statistic = D- : 0.088 p-value of test : 0.81 Anderson-Darling statistic = A2 : 0.31 p-value of test : 0.93 Tests on the sum of all N observations Standardized normal statistic : -0.38 p-value of test : 0.65 Sample variance : 1.20 p-value of test : 0.29 ----------------------------------------------- CPU time used : 00:01:11.32 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+ : 0.14 p-value of test : 0.61 Kolmogorov-Smirnov- statistic = D- : 0.20 p-value of test : 0.41 Anderson-Darling statistic = A2 : 0.37 p-value of test : 0.87 Tests on the sum of all N observations Standardized normal statistic : 0.37 p-value of test : 0.35 Sample variance : 1.04 p-value of test : 0.41 ----------------------------------------------- CPU time used : 00:01:12.31 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+ : 8.84e-3 p-value of test : 0.52 Kolmogorov-Smirnov- statistic = D- : 9.06e-3 p-value of test : 0.51 Anderson-Darling statistic = A2 : 0.44 p-value of test : 0.81 ----------------------------------------------- CPU time used : 00:00:42.64 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+ : 8.90e-3 p-value of test : 0.52 Kolmogorov-Smirnov- statistic = D- : 8.08e-3 p-value of test : 0.58 Anderson-Darling statistic = A2 : 0.47 p-value of test : 0.77 ----------------------------------------------- CPU time used : 00:00:41.63 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 : 9.86 p-value of test : 0.28 ----------------------------------------------- Global longest run of 1 : 35.00 p-value of test : 0.14 ----------------------------------------------- CPU time used : 00:01:24.44 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 : 6.34 p-value of test : 0.61 ----------------------------------------------- Global longest run of 1 : 33.00 p-value of test : 0.44 ----------------------------------------------- CPU time used : 00:01:27.11 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+ : 0.28 p-value of test : 0.18 Kolmogorov-Smirnov- statistic = D- : 0.13 p-value of test : 0.66 Anderson-Darling statistic = A2 : 0.69 p-value of test : 0.56 Test on the sum of all N observations Number of degrees of freedom : 200 Chi-square statistic : 191.13 p-value of test : 0.66 ----------------------------------------------- CPU time used : 00:02:19.23 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+ : 0.30 p-value of test : 0.13 Kolmogorov-Smirnov- statistic = D- : 0.16 p-value of test : 0.56 Anderson-Darling statistic = A2 : 1.40 p-value of test : 0.20 Test on the sum of all N observations Number of degrees of freedom : 200 Chi-square statistic : 176.00 p-value of test : 0.89 ----------------------------------------------- CPU time used : 00:02:27.45 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+ : 0.12 p-value of test : 0.69 Kolmogorov-Smirnov- statistic = D- : 0.24 p-value of test : 0.26 Anderson-Darling statistic = A2 : 0.54 p-value of test : 0.70 Test on the sum of all N observations Number of degrees of freedom : 10000 Chi-square statistic :10060.22 p-value of test : 0.33 ----------------------------------------------- CPU time used : 00:01:00.14 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+ : 0.071 p-value of test : 0.87 Kolmogorov-Smirnov- statistic = D- : 0.23 p-value of test : 0.31 Anderson-Darling statistic = A2 : 0.51 p-value of test : 0.74 Test on the sum of all N observations Number of degrees of freedom : 10000 Chi-square statistic :10088.68 p-value of test : 0.26 ----------------------------------------------- CPU time used : 00:01:03.10 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 : -0.85 p-value of test : 0.80 ----------------------------------------------- CPU time used : 00:01:12.61 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 : -0.63 p-value of test : 0.74 ----------------------------------------------- CPU time used : 00:01:09.42 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 : 1.13 p-value of test : 0.13 ----------------------------------------------- CPU time used : 00:04:35.45 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+ : 0.15 p-value of test : 0.57 Kolmogorov-Smirnov- statistic = D- : 0.26 p-value of test : 0.22 Anderson-Darling statistic = A2 : 0.86 p-value of test : 0.44 Test on the sum of all N observations Number of degrees of freedom : 4890 Chi-square statistic : 4898.28 p-value of test : 0.46 ----------------------------------------------- CPU time used : 00:01:54.90 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+ : 0.045 p-value of test : 0.93 Kolmogorov-Smirnov- statistic = D- : 0.54 p-value of test : 1.4e-3 Anderson-Darling statistic = A2 : 3.08 p-value of test : 0.03 Test on the sum of all N observations Number of degrees of freedom : 4890 Chi-square statistic : 5086.51 p-value of test : 0.02 ----------------------------------------------- CPU time used : 00:02:00.20 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 : 4096.60 p-value of test : 0.59 ----------------------------------------------- CPU time used : 00:01:25.45 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 : 4102.70 p-value of test : 0.56 ----------------------------------------------- CPU time used : 00:01:28.68 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 :11951.95 p-value of test : 0.20 ----------------------------------------------- CPU time used : 00:01:33.69 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 :11599.01 p-value of test : 0.93 ----------------------------------------------- CPU time used : 00:01:36.45 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 : 42.56 p-value of test : 0.87 ----------------------------------------------- Total number of bits: 7999929921 Normal statistic for number of bits : -0.55 p-value of test : 0.71 ----------------------------------------------- CPU time used : 00:01:09.97 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 : 46.23 p-value of test : 0.76 ----------------------------------------------- Total number of bits: 7999891407 Normal statistic for number of bits : -0.86 p-value of test : 0.80 ----------------------------------------------- CPU time used : 00:01:10.56 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+ : 0.15 p-value of test : 0.57 Kolmogorov-Smirnov- statistic = D- : 0.24 p-value of test : 0.27 Anderson-Darling statistic = A2 : 0.73 p-value of test : 0.53 Tests on the sum of all N observations Standardized normal statistic : 0.43 p-value of test : 0.33 Sample variance : 0.56 p-value of test : 0.83 ----------------------------------------------- CPU time used : 00:02:17.86 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+ : 0.11 p-value of test : 0.72 Kolmogorov-Smirnov- statistic = D- : 0.21 p-value of test : 0.38 Anderson-Darling statistic = A2 : 0.42 p-value of test : 0.83 Tests on the sum of all N observations Standardized normal statistic : 0.057 p-value of test : 0.48 Sample variance : 1.24 p-value of test : 0.26 ----------------------------------------------- CPU time used : 00:02:05.77 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+ : 0.061 p-value of test : 0.89 Kolmogorov-Smirnov- statistic = D- : 0.32 p-value of test : 0.11 Anderson-Darling statistic = A2 : 1.15 p-value of test : 0.29 Tests on the sum of all N observations Standardized normal statistic : 1.16 p-value of test : 0.12 Sample variance : 0.92 p-value of test : 0.51 ----------------------------------------------- CPU time used : 00:02:19.71 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+ : 0.30 p-value of test : 0.14 Kolmogorov-Smirnov- statistic = D- : 0.29 p-value of test : 0.15 Anderson-Darling statistic = A2 : 1.45 p-value of test : 0.19 Tests on the sum of all N observations Standardized normal statistic : -0.22 p-value of test : 0.59 Sample variance : 1.83 p-value of test : 0.06 ----------------------------------------------- CPU time used : 00:02:06.39 Generator state: N/A ========= Summary results of BigCrush ========= Version: TestU01 1.2.3 Generator: stdin Number of statistics: 160 Total CPU time: 03:46:52.11 All tests were passed # # End: 2022-04-06 20:26:24 # # Exit value: 0 # Bytes used: 1428419125248 >= 2^40 (1.4 TB) # # Test duration: 227.19251666666665 minutes #