# # RandomSource: L128_X128_MIX # RNG: org.apache.commons.rng.core.source64.L128X128Mix # Seed: b9a61047044be66b62048ac9b8f0914b3248ff83438216afa2bfc1a26746d2ef11c2e5d861be83aad54259f274e213b5 # # 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: 2022-04-07 00:19:19 # 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 : 0.94 ----------------------------------------------- CPU time used : 00:01:14.37 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 : 0.07 ----------------------------------------------- CPU time used : 00:01:19.81 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 : 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 : 00:04:40.87 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 : 1362 p-value of test : 0.52 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334482 j = 1 : 599997276 j = 2 : 1362 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:04:39.05 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 : 1370 p-value of test : 0.44 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334490 j = 1 : 599997260 j = 2 : 1370 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:06:01.22 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 : 1328 p-value of test : 0.83 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334448 j = 1 : 599997344 j = 2 : 1328 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:06:03.79 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 : 1357 p-value of test : 0.57 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334477 j = 1 : 599997286 j = 2 : 1357 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:06:05.76 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 : 1327 p-value of test : 0.84 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334447 j = 1 : 599997346 j = 2 : 1327 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:06:08.57 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 : 1402 p-value of test : 0.16 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334522 j = 1 : 599997196 j = 2 : 1402 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:06:08.38 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 = 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 : 1393 p-value of test : 0.22 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334513 j = 1 : 599997214 j = 2 : 1393 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:06:10.25 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 : 1352 p-value of test : 0.62 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334472 j = 1 : 599997296 j = 2 : 1352 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:06:08.09 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 = 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 : 1406 p-value of test : 0.13 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334526 j = 1 : 599997188 j = 2 : 1406 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:06:06.61 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 : 5280 p-value of test : 0.97 ----------------------------------------------- CPU time used : 00:03:37.30 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 : 4396 p-value of test : 0.19 ----------------------------------------------- CPU time used : 00:01:36.40 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 : 7381 p-value of test : 0.23 ----------------------------------------------- CPU time used : 00:02:42.72 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 : 4356 p-value of test : 0.39 ----------------------------------------------- CPU time used : 00:01:58.52 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 : 4363 p-value of test : 0.35 ----------------------------------------------- CPU time used : 00:02:06.89 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 : 7217 p-value of test : 0.88 ----------------------------------------------- CPU time used : 00:03:28.09 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 : 7275 p-value of test : 0.69 ----------------------------------------------- CPU time used : 00:03:26.18 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 : 7452 p-value of test : 0.06 ----------------------------------------------- CPU time used : 00:04:32.43 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 : 7364 p-value of test : 0.30 ----------------------------------------------- CPU time used : 00:04:48.67 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) : 0.30 p-value of test : 0.94 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) : 0.48 p-value of test : 0.77 Test on the Nm values of W_{n,i}(mNP1): 1.30 p-value of test : 0.23 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 900 Number of jumps of Y : 940 p-value of test : 0.09 Stat. AD (mNP2) : 1.79 p-value of test : 0.12 Stat. AD after spacings (mNP2-S) : 4.85 p-value of test : 3.4e-3 ----------------------------------------------- CPU time used : 00:02:33.89 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) : 0.46 p-value of test : 0.78 A2 test based on the spacings between the successive jump times of process Y_n(t): A2 test on the values of A2 (m-NP) : 2.11 p-value of test : 0.08 Test on the Nm values of W_{n,i}(mNP1): 0.89 p-value of test : 0.42 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 600 Number of jumps of Y : 597 p-value of test : 0.54 Stat. AD (mNP2) : 1.53 p-value of test : 0.17 Stat. AD after spacings (mNP2-S) : 2.40 p-value of test : 0.06 ----------------------------------------------- CPU time used : 00:01:41.27 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) : 0.61 p-value of test : 0.64 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) : 0.65 p-value of test : 0.60 Test on the Nm values of W_{n,i}(mNP1): 0.60 p-value of test : 0.65 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 300 Number of jumps of Y : 312 p-value of test : 0.25 Stat. AD (mNP2) : 3.22 p-value of test : 0.02 Stat. AD after spacings (mNP2-S) : 3.50 p-value of test : 0.02 ----------------------------------------------- CPU time used : 00:02:33.80 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) : 1.49 p-value of test : 0.18 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) : 0.27 p-value of test : 0.96 Test on the Nm values of W_{n,i}(mNP1): 1.23 p-value of test : 0.26 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 150 Number of jumps of Y : 146 p-value of test : 0.61 Stat. AD (mNP2) : 2.42 p-value of test : 0.05 Stat. AD after spacings (mNP2-S) : 0.64 p-value of test : 0.61 ----------------------------------------------- CPU time used : 00:03:00.02 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 : 9.27 p-value of test : 0.23 ----------------------------------------------- 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 : 5.09 p-value of test : 0.65 ----------------------------------------------- CPU time used : 00:01:20.96 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 : 9.64 p-value of test : 0.94 ----------------------------------------------- CPU time used : 00:01:07.93 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 : 19.07 p-value of test : 0.39 ----------------------------------------------- CPU time used : 00:01:19.31 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 : 46.25 p-value of test : 0.76 ----------------------------------------------- CPU time used : 00:01:27.53 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 : 58.96 p-value of test : 0.30 ----------------------------------------------- CPU time used : 00:01:42.27 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 : 40.45 p-value of test : 0.91 ----------------------------------------------- CPU time used : 00:01:42.06 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 : 44.45 p-value of test : 0.82 ----------------------------------------------- CPU time used : 00:01:41.64 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 : 208.31 p-value of test : 0.87 ----------------------------------------------- CPU time used : 00:01:58.68 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 : 459.15 p-value of test : 0.19 ----------------------------------------------- CPU time used : 00:02:47.56 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 : 1473.71 p-value of test : 0.24 ----------------------------------------------- CPU time used : 00:02:58.85 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 : 7085.63 p-value of test : 0.37 ----------------------------------------------- CPU time used : 00:02:51.10 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+ : 0.38 p-value of test : 0.19 Kolmogorov-Smirnov- statistic = D- : 0.10 p-value of test : 0.85 Anderson-Darling statistic = A2 : 0.88 p-value of test : 0.42 Test on the sum of all N observations Number of degrees of freedom : 30 Chi-square statistic : 21.29 p-value of test : 0.88 ----------------------------------------------- CPU time used : 00:01:32.00 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+ : 0.33 p-value of test : 0.09 Kolmogorov-Smirnov- statistic = D- : 0.049 p-value of test : 0.92 Anderson-Darling statistic = A2 : 2.38 p-value of test : 0.06 Test on the sum of all N observations Number of degrees of freedom : 60 Chi-square statistic : 44.66 p-value of test : 0.93 ----------------------------------------------- CPU time used : 00:03:38.35 Generator state: N/A *********************************************************** Test sknuth_Permutation calling smultin_Multinomial *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, Linux stdin smultin_Multinomial test: ----------------------------------------------- N = 1, n = 1000000000, r = 5, t = 3, Sparse = FALSE GenerCell = smultin_GenerCellPermut Number of cells = t! = 6 Expected number per cell = 1.6666667e+08 Hashing = FALSE For Delta > -1, we use the ChiSquare approximation Correction factor of the ChiSquare: Delta = 1, Mu = 2.5000002e-09, Sigma = 1 ----------------------------------------------- Test Results for Delta = 1.0000 Number of degrees of freedom : 5 Value of the statistic : 4.03 p-value of test : 0.54 ----------------------------------------------- CPU time used : 00:01:00.93 Generator state: N/A *********************************************************** Test sknuth_Permutation calling smultin_Multinomial *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, Linux stdin smultin_Multinomial test: ----------------------------------------------- N = 1, n = 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 : 120.75 p-value of test : 0.44 ----------------------------------------------- CPU time used : 00:01:44.39 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 : 5082.54 p-value of test : 0.33 ----------------------------------------------- CPU time used : 00:01:16.53 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 : 0.69 ----------------------------------------------- CPU time used : 00:02:44.22 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 : 45656 p-value of test : 0.85 ----------------------------- Total number of cells containing j balls j = 0 : 1743165869656 j = 1 : 399908691 j = 2 : 45650 j = 3 : 3 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:03:41.63 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 : 46314 p-value of test : 0.02 ----------------------------- Total number of cells containing j balls j = 0 : 1743165870314 j = 1 : 399907374 j = 2 : 46310 j = 3 : 2 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:03:54.42 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+ : 0.094 p-value of test : 0.46 Kolmogorov-Smirnov- statistic = D- : 0.13 p-value of test : 0.25 Anderson-Darling statistic = A2 : 1.06 p-value of test : 0.33 Test on the sum of all N observations Number of degrees of freedom : 3999960 Chi-square statistic : 4.00e+6 p-value of test : 0.47 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.12 p-value of test : 0.30 Kolmogorov-Smirnov- statistic = D- : 0.079 p-value of test : 0.57 Anderson-Darling statistic = A2 : 0.67 p-value of test : 0.58 ----------------------------------------------- CPU time used : 00:02:39.11 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+ : 0.031 p-value of test : 0.93 Kolmogorov-Smirnov- statistic = D- : 0.15 p-value of test : 0.24 Anderson-Darling statistic = A2 : 0.82 p-value of test : 0.47 Test on the sum of all N observations Number of degrees of freedom : 2999970 Chi-square statistic : 3.00e+6 p-value of test : 0.15 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.15 p-value of test : 0.25 Kolmogorov-Smirnov- statistic = D- : 0.071 p-value of test : 0.71 Anderson-Darling statistic = A2 : 0.75 p-value of test : 0.52 ----------------------------------------------- CPU time used : 00:02:35.01 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+ : 0.090 p-value of test : 0.68 Kolmogorov-Smirnov- statistic = D- : 0.17 p-value of test : 0.27 Anderson-Darling statistic = A2 : 0.85 p-value of test : 0.44 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 p-value of test : 0.21 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.29 p-value of test : 0.02 Kolmogorov-Smirnov- statistic = D- : 0.021 p-value of test : 0.97 Anderson-Darling statistic = A2 : 2.76 p-value of test : 0.04 ----------------------------------------------- CPU time used : 00:02:09.21 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+ : 0.17 p-value of test : 0.28 Kolmogorov-Smirnov- statistic = D- : 0.080 p-value of test : 0.74 Anderson-Darling statistic = A2 : 0.77 p-value of test : 0.50 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 p-value of test : 0.66 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.075 p-value of test : 0.76 Kolmogorov-Smirnov- statistic = D- : 0.23 p-value of test : 0.11 Anderson-Darling statistic = A2 : 1.50 p-value of test : 0.18 ----------------------------------------------- CPU time used : 00:02:30.45 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+ : 0.11 p-value of test : 0.33 Kolmogorov-Smirnov- statistic = D- : 0.090 p-value of test : 0.49 Anderson-Darling statistic = A2 : 0.74 p-value of test : 0.52 ----------------------------------------------- CPU time used : 00:02:09.42 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+ : 0.069 p-value of test : 0.79 Kolmogorov-Smirnov- statistic = D- : 0.16 p-value of test : 0.33 Anderson-Darling statistic = A2 : 0.37 p-value of test : 0.88 ----------------------------------------------- CPU time used : 00:01:33.85 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+ : 0.24 p-value of test : 0.08 Kolmogorov-Smirnov- statistic = D- : 0.091 p-value of test : 0.68 Anderson-Darling statistic = A2 : 1.16 p-value of test : 0.28 ----------------------------------------------- CPU time used : 00:02:05.94 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+ : 7.22e-5 p-value of test : 0.81 Kolmogorov-Smirnov- statistic = D- : 2.22e-4 p-value of test : 0.14 Anderson-Darling statistic = A2 : 1.02 p-value of test : 0.35 ----------------------------------------------- CPU time used : 00:00:31.25 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+ : 1.14e-4 p-value of test : 0.59 Kolmogorov-Smirnov- statistic = D- : 1.33e-4 p-value of test : 0.49 Anderson-Darling statistic = A2 : 0.68 p-value of test : 0.57 ----------------------------------------------- CPU time used : 00:00:32.46 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 : -0.71 p-value of test : 0.76 ----------------------------------------------- CPU time used : 00:00:32.40 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 : 0.36 p-value of test : 0.36 ----------------------------------------------- CPU time used : 00:00:32.21 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 : 2.29 p-value of test : 0.01 ----------------------------------------------- CPU time used : 00:01:40.04 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 : -2.04 p-value of test : 0.98 ----------------------------------------------- CPU time used : 00:01:43.34 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 : 62.31 p-value of test : 0.64 ----------------------------------------------- CPU time used : 00:01:14.79 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 : 61.71 p-value of test : 0.66 ----------------------------------------------- CPU time used : 00:01:29.70 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 : 65.95 p-value of test : 0.51 ----------------------------------------------- CPU time used : 00:01:29.04 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 : 27.77 p-value of test : 0.86 ----------------------------------------------- CPU time used : 00:01:14.35 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 : 32.16 p-value of test : 0.70 ----------------------------------------------- CPU time used : 00:01:28.04 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 : 25.69 p-value of test : 0.92 ----------------------------------------------- CPU time used : 00:01:27.87 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 : 38.38 p-value of test : 0.11 ----------------------------------------------- CPU time used : 00:02:30.04 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+ : 0.14 p-value of test : 0.62 Kolmogorov-Smirnov- statistic = D- : 0.077 p-value of test : 0.85 Anderson-Darling statistic = A2 : 0.17 p-value of test : 0.9968 Test on the sum of all N observations Number of degrees of freedom : 40 Chi-square statistic : 37.37 p-value of test : 0.59 ----------------------------------------------- CPU time used : 00:01:12.85 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+ : 0.24 p-value of test : 0.28 Kolmogorov-Smirnov- statistic = D- : 0.064 p-value of test : 0.89 Anderson-Darling statistic = A2 : 0.50 p-value of test : 0.75 Test on the sum of all N observations Number of degrees of freedom : 40 Chi-square statistic : 33.51 p-value of test : 0.76 ----------------------------------------------- CPU time used : 00:01:12.09 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 : 1.81 p-value of test : 0.61 ----------------------------------------------- CPU time used : 00:02:05.12 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 : 2.33 p-value of test : 0.51 ----------------------------------------------- CPU time used : 00:02:01.19 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 : 3.59 p-value of test : 0.17 ----------------------------------------------- CPU time used : 00:01:30.42 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 : 4.36 p-value of test : 0.11 ----------------------------------------------- CPU time used : 00:01:16.62 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+ : 3.52e-3 p-value of test : 0.9964 Kolmogorov-Smirnov- statistic = D- : 0.31 p-value of test : 0.12 Anderson-Darling statistic = A2 : 2.22 p-value of test : 0.07 Test on the sum of all N observations Number of degrees of freedom : 130 Chi-square statistic : 168.94 p-value of test : 0.01 ----------------------------------------------- CPU time used : 00:00:49.93 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+ : 0.064 p-value of test : 0.89 Kolmogorov-Smirnov- statistic = D- : 0.36 p-value of test : 0.06 Anderson-Darling statistic = A2 : 1.08 p-value of test : 0.32 Test on the sum of all N observations Number of degrees of freedom : 17430 Chi-square statistic :17631.74 p-value of test : 0.14 ----------------------------------------------- CPU time used : 00:01:38.82 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 : 34.72 p-value of test : 0.53 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 ChiSquare statistic : 23.52 p-value of test : 0.93 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 ChiSquare statistic : 17.70 p-value of test : 0.85 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 ChiSquare statistic : 15.89 p-value of test : 0.89 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 ChiSquare statistic : 17.69 p-value of test : 0.41 ----------------------------------------------- CPU time used : 00:00:39.93 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 : 27.61 p-value of test : 0.84 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 ChiSquare statistic : 21.33 p-value of test : 0.97 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 ChiSquare statistic : 16.25 p-value of test : 0.91 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 ChiSquare statistic : 31.17 p-value of test : 0.15 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 ChiSquare statistic : 16.37 p-value of test : 0.50 ----------------------------------------------- CPU time used : 00:00:40.22 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 : 105.08 p-value of test : 0.9957 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 ChiSquare statistic : 149.33 p-value of test : 0.41 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 ChiSquare statistic : 544.39 p-value of test : 0.08 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 ChiSquare statistic : 153.11 p-value of test : 0.15 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 ChiSquare statistic : 73.35 p-value of test : 0.50 ----------------------------------------------- CPU time used : 00:00:46.11 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 : 134.96 p-value of test : 0.73 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 ChiSquare statistic : 181.83 p-value of test : 0.02 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 ChiSquare statistic : 504.27 p-value of test : 0.44 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 ChiSquare statistic : 118.21 p-value of test : 0.86 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 ChiSquare statistic : 71.18 p-value of test : 0.57 ----------------------------------------------- CPU time used : 00:00:45.38 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 : 430.52 p-value of test : 0.05 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 ChiSquare statistic : 362.21 p-value of test : 0.78 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 ChiSquare statistic : 4874.59 p-value of test : 0.90 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 ChiSquare statistic : 400.93 p-value of test : 0.20 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 ChiSquare statistic : 213.55 p-value of test : 0.24 ----------------------------------------------- CPU time used : 00:00:36.80 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 : 350.71 p-value of test : 0.89 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 ChiSquare statistic : 374.81 p-value of test : 0.62 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 ChiSquare statistic : 4845.01 p-value of test : 0.94 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 ChiSquare statistic : 415.87 p-value of test : 0.09 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 ChiSquare statistic : 205.06 p-value of test : 0.39 ----------------------------------------------- CPU time used : 00:00:38.53 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 : 10.04 p-value of test : 0.61 ----------------------------------------------- Normal statistic for number of jumps : 2.98e-3 p-value of test : 0.50 ----------------------------------------------- CPU time used : 00:01:54.05 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 : 23.29 p-value of test : 0.03 ----------------------------------------------- Normal statistic for number of jumps : -1.15 p-value of test : 0.88 ----------------------------------------------- CPU time used : 00:01:57.13 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+ : 0.26 p-value of test : 0.22 Kolmogorov-Smirnov- statistic = D- : 0.057 p-value of test : 0.91 Anderson-Darling statistic = A2 : 0.69 p-value of test : 0.56 Tests on the sum of all N observations Standardized normal statistic : -0.91 p-value of test : 0.82 Sample variance : 0.83 p-value of test : 0.59 ----------------------------------------------- CPU time used : 00:01:06.51 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+ : 0.48 p-value of test : 5.9e-3 Kolmogorov-Smirnov- statistic = D- : 0.013 p-value of test : 0.99 Anderson-Darling statistic = A2 : 5.38 p-value of test : 2.0e-3 Tests on the sum of all N observations Standardized normal statistic : -3.18 p-value of test : 0.9993 ***** Sample variance : 0.70 p-value of test : 0.71 ----------------------------------------------- CPU time used : 00:01:08.90 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+ : 4.71e-3 p-value of test : 0.83 Kolmogorov-Smirnov- statistic = D- : 0.019 p-value of test : 0.06 Anderson-Darling statistic = A2 : 1.24 p-value of test : 0.25 ----------------------------------------------- CPU time used : 00:00:45.25 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+ : 7.22e-3 p-value of test : 0.65 Kolmogorov-Smirnov- statistic = D- : 0.010 p-value of test : 0.41 Anderson-Darling statistic = A2 : 0.52 p-value of test : 0.73 ----------------------------------------------- CPU time used : 00:00:45.11 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 : 10.91 p-value of test : 0.21 ----------------------------------------------- Global longest run of 1 : 33.00 p-value of test : 0.44 ----------------------------------------------- CPU time used : 00:01:29.22 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 : 10.49 p-value of test : 0.23 ----------------------------------------------- Global longest run of 1 : 36.00 p-value of test : 0.07 ----------------------------------------------- CPU time used : 00:01:31.42 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+ : 0.18 p-value of test : 0.47 Kolmogorov-Smirnov- statistic = D- : 0.11 p-value of test : 0.72 Anderson-Darling statistic = A2 : 0.37 p-value of test : 0.88 Test on the sum of all N observations Number of degrees of freedom : 200 Chi-square statistic : 189.89 p-value of test : 0.68 ----------------------------------------------- CPU time used : 00:02:43.59 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+ : 0.28 p-value of test : 0.18 Kolmogorov-Smirnov- statistic = D- : 0.033 p-value of test : 0.96 Anderson-Darling statistic = A2 : 1.54 p-value of test : 0.17 Test on the sum of all N observations Number of degrees of freedom : 200 Chi-square statistic : 168.55 p-value of test : 0.95 ----------------------------------------------- CPU time used : 00:02:43.37 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+ : 0.17 p-value of test : 0.50 Kolmogorov-Smirnov- statistic = D- : 0.23 p-value of test : 0.31 Anderson-Darling statistic = A2 : 0.81 p-value of test : 0.47 Test on the sum of all N observations Number of degrees of freedom : 10000 Chi-square statistic : 9944.44 p-value of test : 0.65 ----------------------------------------------- CPU time used : 00:00:59.81 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+ : 0.095 p-value of test : 0.78 Kolmogorov-Smirnov- statistic = D- : 0.17 p-value of test : 0.53 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 : 10000 Chi-square statistic :10054.78 p-value of test : 0.35 ----------------------------------------------- CPU time used : 00:01:03.20 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 : 0.12 p-value of test : 0.45 ----------------------------------------------- CPU time used : 00:01:13.87 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 : -0.18 p-value of test : 0.57 ----------------------------------------------- CPU time used : 00:01:10.67 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 : -0.019 p-value of test : 0.51 ----------------------------------------------- CPU time used : 00:04:40.27 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+ : 0.27 p-value of test : 0.20 Kolmogorov-Smirnov- statistic = D- : 0.076 p-value of test : 0.85 Anderson-Darling statistic = A2 : 0.64 p-value of test : 0.61 Test on the sum of all N observations Number of degrees of freedom : 4890 Chi-square statistic : 4815.09 p-value of test : 0.77 ----------------------------------------------- CPU time used : 00:01:55.37 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+ : 0.22 p-value of test : 0.32 Kolmogorov-Smirnov- statistic = D- : 0.027 p-value of test : 0.97 Anderson-Darling statistic = A2 : 0.86 p-value of test : 0.43 Test on the sum of all N observations Number of degrees of freedom : 4890 Chi-square statistic : 4762.66 p-value of test : 0.90 ----------------------------------------------- CPU time used : 00:01:59.55 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 : 4138.98 p-value of test : 0.40 ----------------------------------------------- CPU time used : 00:01:23.70 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 : 4273.12 p-value of test : 0.04 ----------------------------------------------- CPU time used : 00:01:27.05 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 :11767.05 p-value of test : 0.65 ----------------------------------------------- CPU time used : 00:01:30.97 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 :12004.73 p-value of test : 0.12 ----------------------------------------------- CPU time used : 00:01:35.46 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 : 87.56 p-value of test : 2.6e-3 ----------------------------------------------- Total number of bits: 8000110845 Normal statistic for number of bits : 0.88 p-value of test : 0.19 ----------------------------------------------- CPU time used : 00:01:13.26 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 : 64.49 p-value of test : 0.16 ----------------------------------------------- Total number of bits: 7999948695 Normal statistic for number of bits : -0.41 p-value of test : 0.66 ----------------------------------------------- CPU time used : 00:01:15.82 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+ : 0.14 p-value of test : 0.61 Kolmogorov-Smirnov- statistic = D- : 0.18 p-value of test : 0.45 Anderson-Darling statistic = A2 : 0.79 p-value of test : 0.48 Tests on the sum of all N observations Standardized normal statistic : 0.56 p-value of test : 0.29 Sample variance : 1.64 p-value of test : 0.10 ----------------------------------------------- CPU time used : 00:02:31.62 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+ : 0.28 p-value of test : 0.17 Kolmogorov-Smirnov- statistic = D- : 0.081 p-value of test : 0.84 Anderson-Darling statistic = A2 : 1.02 p-value of test : 0.35 Tests on the sum of all N observations Standardized normal statistic : -0.95 p-value of test : 0.83 Sample variance : 1.36 p-value of test : 0.20 ----------------------------------------------- CPU time used : 00:02:14.22 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+ : 0.17 p-value of test : 0.53 Kolmogorov-Smirnov- statistic = D- : 0.11 p-value of test : 0.72 Anderson-Darling statistic = A2 : 0.65 p-value of test : 0.60 Tests on the sum of all N observations Standardized normal statistic : -0.51 p-value of test : 0.70 Sample variance : 1.69 p-value of test : 0.09 ----------------------------------------------- CPU time used : 00:02:24.42 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+ : 0.11 p-value of test : 0.73 Kolmogorov-Smirnov- statistic = D- : 0.20 p-value of test : 0.39 Anderson-Darling statistic = A2 : 0.42 p-value of test : 0.82 Tests on the sum of all N observations Standardized normal statistic : 0.35 p-value of test : 0.36 Sample variance : 0.85 p-value of test : 0.57 ----------------------------------------------- CPU time used : 00:02:09.87 Generator state: N/A ========= Summary results of BigCrush ========= Version: TestU01 1.2.3 Generator: stdin Number of statistics: 160 Total CPU time: 03:55:29.30 The following tests gave p-values outside [0.001, 0.9990]: (eps means a value < 1.0e-300): (eps1 means a value < 1.0e-15): Test p-value ---------------------------------------------- 83 LempelZiv, r = 15 0.9993 ---------------------------------------------- All other tests were passed # # End: 2022-04-07 04:17:37 # # Exit value: 0 # Bytes used: 1428424663040 >= 2^40 (1.4 TB) # # Test duration: 238.30380000000002 minutes #