# # RandomSource: L128_X1024_MIX # RNG: org.apache.commons.rng.core.source64.L128X1024Mix # Seed: cce51f375e76b808308ae10fb1341e639f80f231b19148b365297cd35f83ce3726c02b509da5ec78a259f21106aeae574b16307cb8d1523b1d4de5e4227ef1400f693e70db732ea89215dd42ac871dcf72e955e72f9af9968efa9500abacc8db3a4fc5a48839c0a598b6d58e97946d18a8c1433ccd8068714a8628e3763e90cca823e3ed83edd7db737cc8b5d25c59b8ee1b311428649960c4545e1314df43c4 # # 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 08:14:51 # 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 : 0.88 ----------------------------------------------- CPU time used : 00:01:14.04 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 : 0.10 ----------------------------------------------- CPU time used : 00:01:16.43 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 : 1374 p-value of test : 0.40 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334494 j = 1 : 599997252 j = 2 : 1374 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:04:43.93 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 : 1384 p-value of test : 0.30 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334504 j = 1 : 599997232 j = 2 : 1384 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:04:39.80 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 : 1395 p-value of test : 0.21 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334515 j = 1 : 599997210 j = 2 : 1395 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:06:04.75 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 : 1359 p-value of test : 0.55 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334479 j = 1 : 599997282 j = 2 : 1359 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:06:06.88 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 : 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 : 00:06:06.34 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 = 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 : 1353 p-value of test : 0.61 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334473 j = 1 : 599997294 j = 2 : 1353 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:06:16.07 Generator state: N/A *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, Linux stdin smultin_MultinomialOver test: ----------------------------------------------- N = 30, n = 20000000, r = 0, d = 8, t = 14, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 4398046511104 Expected number per cell = 1 / 219902.33 EColl = n^2 / (2k) = 45.47473509 Hashing = TRUE Collision test CollisionOver: density = n / k = 1 / 219902.33 Expected number of collisions = Mu = 45.47 ----------------------------------------------- Results of CollisionOver test: POISSON approximation : Expected number of collisions = N*Mu : 1364.24 Observed number of collisions : 1381 p-value of test : 0.33 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334501 j = 1 : 599997238 j = 2 : 1381 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:06:12.07 Generator state: N/A *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, Linux stdin smultin_MultinomialOver test: ----------------------------------------------- N = 30, n = 20000000, r = 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 : 1316 p-value of test : 0.90 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334436 j = 1 : 599997368 j = 2 : 1316 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:06:15.36 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 : 1397 p-value of test : 0.19 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334517 j = 1 : 599997206 j = 2 : 1397 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:06:10.01 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 : 1428 p-value of test : 0.04 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334548 j = 1 : 599997144 j = 2 : 1428 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:06:01.38 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 : 5281 p-value of test : 0.97 ----------------------------------------------- CPU time used : 00:03:34.15 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 : 4207 p-value of test : 0.98 ----------------------------------------------- CPU time used : 00:01:35.48 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 : 7317 p-value of test : 0.50 ----------------------------------------------- CPU time used : 00:02:42.03 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 : 4411 p-value of test : 0.13 ----------------------------------------------- CPU time used : 00:02:02.40 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 : 4287 p-value of test : 0.77 ----------------------------------------------- CPU time used : 00:02:09.13 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 : 7409 p-value of test : 0.15 ----------------------------------------------- CPU time used : 00:03:26.39 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 : 7362 p-value of test : 0.31 ----------------------------------------------- CPU time used : 00:03:27.55 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 : 7199 p-value of test : 0.92 ----------------------------------------------- CPU time used : 00:04:33.11 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 : 7334 p-value of test : 0.43 ----------------------------------------------- CPU time used : 00:04:49.64 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) : 0.96 p-value of test : 0.38 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) : 0.35 p-value of test : 0.90 Test on the Nm values of W_{n,i}(mNP1): 0.20 p-value of test : 0.9904 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 900 Number of jumps of Y : 926 p-value of test : 0.20 Stat. AD (mNP2) : 0.67 p-value of test : 0.59 Stat. AD after spacings (mNP2-S) : 0.41 p-value of test : 0.84 ----------------------------------------------- CPU time used : 00:02:39.51 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) : 1.58 p-value of test : 0.16 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) : 1.26 p-value of test : 0.24 Test on the Nm values of W_{n,i}(mNP1): 0.55 p-value of test : 0.69 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 600 Number of jumps of Y : 621 p-value of test : 0.20 Stat. AD (mNP2) : 2.01 p-value of test : 0.09 Stat. AD after spacings (mNP2-S) : 4.29 p-value of test : 6.3e-3 ----------------------------------------------- CPU time used : 00:01:42.06 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) : 0.62 p-value of test : 0.62 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) : 1.39 p-value of test : 0.20 Test on the Nm values of W_{n,i}(mNP1): 1.36 p-value of test : 0.21 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 300 Number of jumps of Y : 304 p-value of test : 0.42 Stat. AD (mNP2) : 0.69 p-value of test : 0.56 Stat. AD after spacings (mNP2-S) : 0.65 p-value of test : 0.61 ----------------------------------------------- CPU time used : 00:02:33.21 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, Linux stdin snpair_ClosePairs test: ----------------------------------------------- N = 5, n = 2000000, r = 0, t = 16, p = 0, m = 30, Torus = TRUE --------------------------------------- Test based on the 2 nearest points (NP): Stat. AD on the N values (NP) : 0.92 p-value of test : 0.40 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) : 0.76 p-value of test : 0.51 Test on the Nm values of W_{n,i}(mNP1): 1.38 p-value of test : 0.21 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 150 Number of jumps of Y : 167 p-value of test : 0.09 Stat. AD (mNP2) : 0.49 p-value of test : 0.76 Stat. AD after spacings (mNP2-S) : 0.69 p-value of test : 0.57 ----------------------------------------------- CPU time used : 00:03:02.55 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 : 2.25 p-value of test : 0.94 ----------------------------------------------- CPU time used : 00:01:08.39 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 : 4.50 p-value of test : 0.72 ----------------------------------------------- CPU time used : 00:01:20.71 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 : 13.74 p-value of test : 0.75 ----------------------------------------------- CPU time used : 00:01:06.38 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 : 11.98 p-value of test : 0.85 ----------------------------------------------- CPU time used : 00:01:18.98 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 : 48.94 p-value of test : 0.67 ----------------------------------------------- CPU time used : 00:01:25.75 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 : 32.34 p-value of test : 0.9915 ----------------------------------------------- CPU time used : 00:01:39.72 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 : 50.65 p-value of test : 0.60 ----------------------------------------------- CPU time used : 00:01:39.64 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 : 43.86 p-value of test : 0.84 ----------------------------------------------- CPU time used : 00:01:41.14 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 : 196.80 p-value of test : 0.95 ----------------------------------------------- CPU time used : 00:01:53.85 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 : 398.04 p-value of test : 0.89 ----------------------------------------------- CPU time used : 00:02:44.64 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 : 1394.24 p-value of test : 0.79 ----------------------------------------------- CPU time used : 00:02:52.85 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 : 7177.82 p-value of test : 0.13 ----------------------------------------------- CPU time used : 00:02:53.64 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+ : 0.22 p-value of test : 0.54 Kolmogorov-Smirnov- statistic = D- : 0.24 p-value of test : 0.48 Anderson-Darling statistic = A2 : 0.40 p-value of test : 0.85 Test on the sum of all N observations Number of degrees of freedom : 30 Chi-square statistic : 27.99 p-value of test : 0.57 ----------------------------------------------- CPU time used : 00:01:33.26 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+ : 0.20 p-value of test : 0.39 Kolmogorov-Smirnov- statistic = D- : 0.085 p-value of test : 0.82 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 : 60 Chi-square statistic : 51.34 p-value of test : 0.78 ----------------------------------------------- CPU time used : 00:03:41.85 Generator state: N/A *********************************************************** Test sknuth_Permutation calling smultin_Multinomial *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, Linux stdin smultin_Multinomial test: ----------------------------------------------- N = 1, n = 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 : 2.98 p-value of test : 0.70 ----------------------------------------------- CPU time used : 00:00:59.92 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 : 122.18 p-value of test : 0.40 ----------------------------------------------- CPU time used : 00:01:37.67 Generator state: N/A *********************************************************** Test sknuth_Permutation calling smultin_Multinomial *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, Linux stdin smultin_Multinomial test: ----------------------------------------------- N = 1, n = 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 : 5040.37 p-value of test : 0.49 ----------------------------------------------- CPU time used : 00:01:10.77 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 : 0.04 ----------------------------------------------- CPU time used : 00:02:32.26 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 : 45903 p-value of test : 0.46 ----------------------------- Total number of cells containing j balls j = 0 : 1743165869903 j = 1 : 399908197 j = 2 : 45897 j = 3 : 3 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:03:37.42 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 : 46037 p-value of test : 0.23 ----------------------------- Total number of cells containing j balls j = 0 : 1743165870037 j = 1 : 399907930 j = 2 : 46029 j = 3 : 4 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:03:44.29 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+ : 0.11 p-value of test : 0.34 Kolmogorov-Smirnov- statistic = D- : 0.14 p-value of test : 0.18 Anderson-Darling statistic = A2 : 1.10 p-value of test : 0.31 Test on the sum of all N observations Number of degrees of freedom : 3999960 Chi-square statistic : 4.00e+6 p-value of test : 0.19 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.094 p-value of test : 0.47 Kolmogorov-Smirnov- statistic = D- : 0.076 p-value of test : 0.60 Anderson-Darling statistic = A2 : 0.52 p-value of test : 0.73 ----------------------------------------------- CPU time used : 00:02:37.10 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+ : 0.12 p-value of test : 0.40 Kolmogorov-Smirnov- statistic = D- : 0.077 p-value of test : 0.67 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 : 2999970 Chi-square statistic : 3.00e+6 p-value of test : 0.63 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.18 p-value of test : 0.12 Kolmogorov-Smirnov- statistic = D- : 0.010 p-value of test : 0.99 Anderson-Darling statistic = A2 : 1.79 p-value of test : 0.12 ----------------------------------------------- CPU time used : 00:02:38.42 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+ : 0.14 p-value of test : 0.44 Kolmogorov-Smirnov- statistic = D- : 0.095 p-value of test : 0.66 Anderson-Darling statistic = A2 : 0.70 p-value of test : 0.56 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 p-value of test : 0.80 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.13 p-value of test : 0.47 Kolmogorov-Smirnov- statistic = D- : 0.098 p-value of test : 0.64 Anderson-Darling statistic = A2 : 0.40 p-value of test : 0.84 ----------------------------------------------- CPU time used : 00:02:07.06 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+ : 0.042 p-value of test : 0.91 Kolmogorov-Smirnov- statistic = D- : 0.19 p-value of test : 0.22 Anderson-Darling statistic = A2 : 0.72 p-value of test : 0.54 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 p-value of test : 0.17 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.12 p-value of test : 0.53 Kolmogorov-Smirnov- statistic = D- : 0.11 p-value of test : 0.59 Anderson-Darling statistic = A2 : 0.32 p-value of test : 0.92 ----------------------------------------------- CPU time used : 00:02:26.54 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+ : 0.083 p-value of test : 0.54 Kolmogorov-Smirnov- statistic = D- : 0.035 p-value of test : 0.89 Anderson-Darling statistic = A2 : 0.25 p-value of test : 0.97 ----------------------------------------------- CPU time used : 00:02:09.65 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+ : 9.91e-3 p-value of test : 0.99 Kolmogorov-Smirnov- statistic = D- : 0.18 p-value of test : 0.25 Anderson-Darling statistic = A2 : 0.91 p-value of test : 0.41 ----------------------------------------------- CPU time used : 00:01:35.37 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+ : 0.22 p-value of test : 0.13 Kolmogorov-Smirnov- statistic = D- : 0.12 p-value of test : 0.53 Anderson-Darling statistic = A2 : 1.54 p-value of test : 0.17 ----------------------------------------------- CPU time used : 00:02:03.87 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+ : 1.97e-4 p-value of test : 0.21 Kolmogorov-Smirnov- statistic = D- : 1.15e-4 p-value of test : 0.59 Anderson-Darling statistic = A2 : 0.78 p-value of test : 0.49 ----------------------------------------------- CPU time used : 00:00:30.87 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+ : 1.00e-4 p-value of test : 0.67 Kolmogorov-Smirnov- statistic = D- : 3.78e-4 p-value of test : 3.3e-3 Anderson-Darling statistic = A2 : 3.23 p-value of test : 0.02 ----------------------------------------------- CPU time used : 00:00:32.34 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 : 1.91 p-value of test : 0.03 ----------------------------------------------- CPU time used : 00:00:32.59 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 : -1.70 p-value of test : 0.96 ----------------------------------------------- CPU time used : 00:00:32.61 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 : 0.087 p-value of test : 0.47 ----------------------------------------------- CPU time used : 00:01:37.43 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 : -0.80 p-value of test : 0.79 ----------------------------------------------- CPU time used : 00:01:40.14 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 : 54.93 p-value of test : 0.85 ----------------------------------------------- CPU time used : 00:01:12.19 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 : 75.62 p-value of test : 0.22 ----------------------------------------------- CPU time used : 00:01:27.78 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 : 71.41 p-value of test : 0.33 ----------------------------------------------- CPU time used : 00:01:27.78 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 : 51.35 p-value of test : 0.06 ----------------------------------------------- CPU time used : 00:01:13.78 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 : 31.28 p-value of test : 0.73 ----------------------------------------------- CPU time used : 00:01:28.67 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 : 36.14 p-value of test : 0.51 ----------------------------------------------- CPU time used : 00:01:28.12 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 : 23.45 p-value of test : 0.76 ----------------------------------------------- CPU time used : 00:02:34.06 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+ : 0.18 p-value of test : 0.45 Kolmogorov-Smirnov- statistic = D- : 0.13 p-value of test : 0.67 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 : 40 Chi-square statistic : 34.32 p-value of test : 0.72 ----------------------------------------------- CPU time used : 00:01:07.55 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+ : 0.40 p-value of test : 0.03 Kolmogorov-Smirnov- statistic = D- : 0.075 p-value of test : 0.86 Anderson-Darling statistic = A2 : 2.57 p-value of test : 0.05 Test on the sum of all N observations Number of degrees of freedom : 40 Chi-square statistic : 31.09 p-value of test : 0.84 ----------------------------------------------- CPU time used : 00:01:12.53 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 : 2.22 p-value of test : 0.53 ----------------------------------------------- CPU time used : 00:02:03.79 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 : 1.79 p-value of test : 0.62 ----------------------------------------------- CPU time used : 00:02:00.77 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 : 0.49 p-value of test : 0.78 ----------------------------------------------- CPU time used : 00:01:26.17 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 : 00:01:07.35 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+ : 0.41 p-value of test : 0.02 Kolmogorov-Smirnov- statistic = D- : 0.015 p-value of test : 0.98 Anderson-Darling statistic = A2 : 2.14 p-value of test : 0.08 Test on the sum of all N observations Number of degrees of freedom : 130 Chi-square statistic : 100.92 p-value of test : 0.97 ----------------------------------------------- CPU time used : 00:00:50.22 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+ : 0.16 p-value of test : 0.55 Kolmogorov-Smirnov- statistic = D- : 0.16 p-value of test : 0.55 Anderson-Darling statistic = A2 : 0.56 p-value of test : 0.68 Test on the sum of all N observations Number of degrees of freedom : 17430 Chi-square statistic :17442.90 p-value of test : 0.47 ----------------------------------------------- CPU time used : 00:01:38.43 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 : 50.99 p-value of test : 0.05 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 ChiSquare statistic : 34.25 p-value of test : 0.50 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 ChiSquare statistic : 20.31 p-value of test : 0.73 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 ChiSquare statistic : 15.26 p-value of test : 0.91 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 ChiSquare statistic : 10.43 p-value of test : 0.88 ----------------------------------------------- CPU time used : 00:00:36.11 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 : 42.10 p-value of test : 0.22 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 ChiSquare statistic : 32.19 p-value of test : 0.60 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 ChiSquare statistic : 22.13 p-value of test : 0.63 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 ChiSquare statistic : 26.42 p-value of test : 0.33 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 ChiSquare statistic : 7.67 p-value of test : 0.97 ----------------------------------------------- CPU time used : 00:00:37.71 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 : 176.63 p-value of test : 0.04 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 ChiSquare statistic : 182.19 p-value of test : 0.02 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 ChiSquare statistic : 516.05 p-value of test : 0.30 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 ChiSquare statistic : 141.07 p-value of test : 0.37 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 ChiSquare statistic : 73.06 p-value of test : 0.51 ----------------------------------------------- CPU time used : 00:00:48.29 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 : 125.37 p-value of test : 0.89 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 ChiSquare statistic : 147.47 p-value of test : 0.45 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 ChiSquare statistic : 485.93 p-value of test : 0.67 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 ChiSquare statistic : 131.15 p-value of test : 0.60 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 ChiSquare statistic : 79.27 p-value of test : 0.32 ----------------------------------------------- CPU time used : 00:00:49.93 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 : 364.21 p-value of test : 0.76 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 ChiSquare statistic : 353.90 p-value of test : 0.86 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 ChiSquare statistic : 4986.56 p-value of test : 0.55 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 ChiSquare statistic : 353.28 p-value of test : 0.81 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 ChiSquare statistic : 165.07 p-value of test : 0.97 ----------------------------------------------- CPU time used : 00:00:34.52 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 : 372.32 p-value of test : 0.66 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 ChiSquare statistic : 419.07 p-value of test : 0.11 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 ChiSquare statistic : 4915.81 p-value of test : 0.80 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 ChiSquare statistic : 363.67 p-value of test : 0.69 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 ChiSquare statistic : 240.91 p-value of test : 0.03 ----------------------------------------------- CPU time used : 00:00:35.98 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 : 15.90 p-value of test : 0.20 ----------------------------------------------- Normal statistic for number of jumps : 1.34 p-value of test : 0.09 ----------------------------------------------- CPU time used : 00:02:06.86 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 : 4.63 p-value of test : 0.97 ----------------------------------------------- Normal statistic for number of jumps : 0.37 p-value of test : 0.35 ----------------------------------------------- CPU time used : 00:02:11.77 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+ : 0.30 p-value of test : 0.13 Kolmogorov-Smirnov- statistic = D- : 0.062 p-value of test : 0.89 Anderson-Darling statistic = A2 : 1.05 p-value of test : 0.33 Tests on the sum of all N observations Standardized normal statistic : -1.02 p-value of test : 0.85 Sample variance : 0.72 p-value of test : 0.69 ----------------------------------------------- CPU time used : 00:01:00.96 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+ : 0.13 p-value of test : 0.64 Kolmogorov-Smirnov- statistic = D- : 0.13 p-value of test : 0.66 Anderson-Darling statistic = A2 : 0.29 p-value of test : 0.95 Tests on the sum of all N observations Standardized normal statistic : -0.16 p-value of test : 0.56 Sample variance : 0.72 p-value of test : 0.69 ----------------------------------------------- CPU time used : 00:01:03.46 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+ : 8.72e-3 p-value of test : 0.53 Kolmogorov-Smirnov- statistic = D- : 0.011 p-value of test : 0.35 Anderson-Darling statistic = A2 : 0.70 p-value of test : 0.56 ----------------------------------------------- CPU time used : 00:00:46.51 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+ : 0.015 p-value of test : 0.15 Kolmogorov-Smirnov- statistic = D- : 0.012 p-value of test : 0.31 Anderson-Darling statistic = A2 : 1.11 p-value of test : 0.30 ----------------------------------------------- CPU time used : 00:00:46.15 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 : 2.97 p-value of test : 0.94 ----------------------------------------------- Global longest run of 1 : 31.00 p-value of test : 0.69 ----------------------------------------------- CPU time used : 00:01:27.89 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 : 8.37 p-value of test : 0.40 ----------------------------------------------- Global longest run of 1 : 31.00 p-value of test : 0.69 ----------------------------------------------- CPU time used : 00:01:31.96 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+ : 0.068 p-value of test : 0.88 Kolmogorov-Smirnov- statistic = D- : 0.36 p-value of test : 0.05 Anderson-Darling statistic = A2 : 1.06 p-value of test : 0.32 Test on the sum of all N observations Number of degrees of freedom : 200 Chi-square statistic : 216.77 p-value of test : 0.20 ----------------------------------------------- CPU time used : 00:02:39.71 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+ : 0.074 p-value of test : 0.86 Kolmogorov-Smirnov- statistic = D- : 0.25 p-value of test : 0.25 Anderson-Darling statistic = A2 : 0.67 p-value of test : 0.58 Test on the sum of all N observations Number of degrees of freedom : 200 Chi-square statistic : 213.09 p-value of test : 0.25 ----------------------------------------------- CPU time used : 00:02:40.35 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+ : 0.32 p-value of test : 0.10 Kolmogorov-Smirnov- statistic = D- : 0.12 p-value of test : 0.70 Anderson-Darling statistic = A2 : 1.41 p-value of test : 0.20 Test on the sum of all N observations Number of degrees of freedom : 10000 Chi-square statistic : 9818.82 p-value of test : 0.90 ----------------------------------------------- CPU time used : 00:01:00.17 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+ : 0.070 p-value of test : 0.87 Kolmogorov-Smirnov- statistic = D- : 0.27 p-value of test : 0.18 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 : 10000 Chi-square statistic :10116.86 p-value of test : 0.20 ----------------------------------------------- CPU time used : 00:01:02.02 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 : 0.60 p-value of test : 0.27 ----------------------------------------------- CPU time used : 00:01:13.73 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 : -1.60 p-value of test : 0.95 ----------------------------------------------- CPU time used : 00:01:10.29 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 : -0.69 p-value of test : 0.76 ----------------------------------------------- CPU time used : 00:04:38.42 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- : 0.16 p-value of test : 0.56 Anderson-Darling statistic = A2 : 0.89 p-value of test : 0.42 Test on the sum of all N observations Number of degrees of freedom : 4890 Chi-square statistic : 4802.85 p-value of test : 0.81 ----------------------------------------------- CPU time used : 00:01:55.64 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+ : 0.26 p-value of test : 0.21 Kolmogorov-Smirnov- statistic = D- : 0.16 p-value of test : 0.53 Anderson-Darling statistic = A2 : 0.78 p-value of test : 0.49 Test on the sum of all N observations Number of degrees of freedom : 4890 Chi-square statistic : 4883.30 p-value of test : 0.52 ----------------------------------------------- CPU time used : 00:02:00.84 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 : 4091.99 p-value of test : 0.61 ----------------------------------------------- CPU time used : 00:01:24.40 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 : 4141.99 p-value of test : 0.39 ----------------------------------------------- CPU time used : 00:01:24.92 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 :11534.24 p-value of test : 0.97 ----------------------------------------------- CPU time used : 00:01:28.09 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 :11763.88 p-value of test : 0.65 ----------------------------------------------- CPU time used : 00:01:31.52 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 : 47.69 p-value of test : 0.71 ----------------------------------------------- Total number of bits: 7999906620 Normal statistic for number of bits : -0.74 p-value of test : 0.77 ----------------------------------------------- CPU time used : 00:01:08.50 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 : 46.16 p-value of test : 0.77 ----------------------------------------------- Total number of bits: 8000067186 Normal statistic for number of bits : 0.53 p-value of test : 0.30 ----------------------------------------------- CPU time used : 00:01:09.10 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+ : 0.32 p-value of test : 0.10 Kolmogorov-Smirnov- statistic = D- : 0.080 p-value of test : 0.84 Anderson-Darling statistic = A2 : 1.56 p-value of test : 0.16 Tests on the sum of all N observations Standardized normal statistic : -1.37 p-value of test : 0.91 Sample variance : 0.40 p-value of test : 0.94 ----------------------------------------------- CPU time used : 00:02:16.07 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+ : 0.25 p-value of test : 0.25 Kolmogorov-Smirnov- statistic = D- : 0.034 p-value of test : 0.95 Anderson-Darling statistic = A2 : 0.71 p-value of test : 0.55 Tests on the sum of all N observations Standardized normal statistic : -1.03 p-value of test : 0.85 Sample variance : 1.21 p-value of test : 0.28 ----------------------------------------------- CPU time used : 00:01:52.03 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+ : 0.33 p-value of test : 0.09 Kolmogorov-Smirnov- statistic = D- : 0.18 p-value of test : 0.47 Anderson-Darling statistic = A2 : 1.27 p-value of test : 0.24 Tests on the sum of all N observations Standardized normal statistic : -0.48 p-value of test : 0.68 Sample variance : 0.22 p-value of test : 0.9921 ----------------------------------------------- CPU time used : 00:02:04.27 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+ : 0.14 p-value of test : 0.64 Kolmogorov-Smirnov- statistic = D- : 0.23 p-value of test : 0.31 Anderson-Darling statistic = A2 : 0.44 p-value of test : 0.80 Tests on the sum of all N observations Standardized normal statistic : 0.12 p-value of test : 0.45 Sample variance : 1.09 p-value of test : 0.36 ----------------------------------------------- CPU time used : 00:01:52.36 Generator state: N/A ========= Summary results of BigCrush ========= Version: TestU01 1.2.3 Generator: stdin Number of statistics: 160 Total CPU time: 03:53:02.68 All tests were passed # # End: 2022-04-07 12:11:16 # # Exit value: 0 # Bytes used: 1428412416000 >= 2^40 (1.4 TB) # # Test duration: 236.42466666666667 minutes #