# # RandomSource: L128_X1024_MIX # RNG: org.apache.commons.rng.core.source64.L128X1024Mix # Seed: 1551202739e0bb7256e60cbbbe1b30049ab96883554ade6f21f7300d9d3c24ffabb7e5032b57f7280ed0ff1323c8c6f7e8b82da550d1e7c86fff5f1e12d493f19805b15a0494f71a71e3b94f78e8542905782fcc7973151456407e4bdaa5f6d88f3ee2016a9692ced122a9b1ffc9cb4998748d0935137f61529c709e43555c25125e1c4b910d9653e88dbbef523bf87a5351c7ecc349fa8cb0e256b5b969677e # # 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 04:18:02 # 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 : 0.48 ----------------------------------------------- CPU time used : 00:01:11.70 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 : 0.22 ----------------------------------------------- CPU time used : 00:01:13.47 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 : 1394 p-value of test : 0.21 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334514 j = 1 : 599997212 j = 2 : 1394 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:04:41.49 Generator state: N/A *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, Linux stdin smultin_MultinomialOver test: ----------------------------------------------- N = 30, n = 20000000, r = 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 : 1382 p-value of test : 0.32 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334502 j = 1 : 599997236 j = 2 : 1382 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:04:43.22 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 = 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 : 1398 p-value of test : 0.18 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334518 j = 1 : 599997204 j = 2 : 1398 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:06:05.04 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 : 1367 p-value of test : 0.47 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334487 j = 1 : 599997266 j = 2 : 1367 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:06:08.70 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 : 1396 p-value of test : 0.20 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334516 j = 1 : 599997208 j = 2 : 1396 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:06:08.16 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 : 1355 p-value of test : 0.59 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334475 j = 1 : 599997290 j = 2 : 1355 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:06:07.94 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 : 1379 p-value of test : 0.35 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334499 j = 1 : 599997242 j = 2 : 1379 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:06:04.55 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 : 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 : 00:06:11.63 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 : 1410 p-value of test : 0.11 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334530 j = 1 : 599997180 j = 2 : 1410 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:06:09.53 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 : 1363 p-value of test : 0.51 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334483 j = 1 : 599997274 j = 2 : 1363 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:05:57.09 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, Linux stdin smarsa_BirthdaySpacings test: ----------------------------------------------- N = 100, n = 10000000, r = 0, d = 2147483648, t = 2, p = 1 Number of cells = d^t = 4611686018427387904 Lambda = Poisson mean = 54.2101 ---------------------------------------------------- Total expected number = N*Lambda : 5421.01 Total observed number : 5343 p-value of test : 0.85 ----------------------------------------------- CPU time used : 00:03:38.86 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 : 4436 p-value of test : 0.07 ----------------------------------------------- CPU time used : 00:01:36.63 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 : 7151 p-value of test : 0.97 ----------------------------------------------- CPU time used : 00:02:45.25 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, Linux stdin smarsa_BirthdaySpacings test: ----------------------------------------------- N = 20, n = 20000000, r = 0, d = 512, t = 7, p = 1 Number of cells = d^t = 9223372036854775808 Lambda = Poisson mean = 216.8404 ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 Total observed number : 4290 p-value of test : 0.76 ----------------------------------------------- CPU time used : 00:02:06.06 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 : 4355 p-value of test : 0.39 ----------------------------------------------- CPU time used : 00:02:10.27 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 : 7359 p-value of test : 0.32 ----------------------------------------------- CPU time used : 00:03:28.50 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 : 7170 p-value of test : 0.96 ----------------------------------------------- CPU time used : 00:03:31.94 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 : 7461 p-value of test : 0.05 ----------------------------------------------- CPU time used : 00:04:32.05 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 : 7283 p-value of test : 0.66 ----------------------------------------------- CPU time used : 00:04:48.98 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) : 0.45 p-value of test : 0.79 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) : 1.09 p-value of test : 0.31 Test on the Nm values of W_{n,i}(mNP1): 0.29 p-value of test : 0.94 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 900 Number of jumps of Y : 900 p-value of test : 0.50 Stat. AD (mNP2) : 1.78 p-value of test : 0.12 Stat. AD after spacings (mNP2-S) : 0.65 p-value of test : 0.61 ----------------------------------------------- CPU time used : 00:02:37.64 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) : 0.59 p-value of test : 0.66 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) : 1.70 p-value of test : 0.14 Test on the Nm values of W_{n,i}(mNP1): 0.40 p-value of test : 0.85 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 600 Number of jumps of Y : 579 p-value of test : 0.80 Stat. AD (mNP2) : 0.60 p-value of test : 0.65 Stat. AD after spacings (mNP2-S) : 0.54 p-value of test : 0.70 ----------------------------------------------- CPU time used : 00:01:44.06 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) : 0.40 p-value of test : 0.84 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) : 0.84 p-value of test : 0.45 Test on the Nm values of W_{n,i}(mNP1): 1.21 p-value of test : 0.27 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 300 Number of jumps of Y : 273 p-value of test : 0.94 Stat. AD (mNP2) : 1.36 p-value of test : 0.21 Stat. AD after spacings (mNP2-S) : 3.78 p-value of test : 0.01 ----------------------------------------------- CPU time used : 00:02:37.47 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) : 0.68 p-value of test : 0.57 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) : 0.61 p-value of test : 0.63 Test on the Nm values of W_{n,i}(mNP1): 0.92 p-value of test : 0.40 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 150 Number of jumps of Y : 152 p-value of test : 0.45 Stat. AD (mNP2) : 0.24 p-value of test : 0.98 Stat. AD after spacings (mNP2-S) : 0.79 p-value of test : 0.49 ----------------------------------------------- CPU time used : 00:03:04.90 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 : 1.86 p-value of test : 0.97 ----------------------------------------------- CPU time used : 00:01:10.68 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 : 1.78 p-value of test : 0.97 ----------------------------------------------- CPU time used : 00:01:21.80 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 : 22.13 p-value of test : 0.23 ----------------------------------------------- CPU time used : 00:01:09.21 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 : 23.11 p-value of test : 0.19 ----------------------------------------------- CPU time used : 00:01:20.31 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 : 61.85 p-value of test : 0.22 ----------------------------------------------- CPU time used : 00:01:29.03 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 : 40.15 p-value of test : 0.92 ----------------------------------------------- CPU time used : 00:01:42.80 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 : 41.02 p-value of test : 0.90 ----------------------------------------------- CPU time used : 00:01:43.02 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 : 61.90 p-value of test : 0.21 ----------------------------------------------- CPU time used : 00:01:43.36 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 : 241.96 p-value of test : 0.31 ----------------------------------------------- CPU time used : 00:02:00.60 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 : 431.15 p-value of test : 0.53 ----------------------------------------------- CPU time used : 00:02:46.26 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 : 1413.36 p-value of test : 0.67 ----------------------------------------------- CPU time used : 00:02:59.52 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 : 6830.79 p-value of test : 0.97 ----------------------------------------------- CPU time used : 00:02:49.48 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+ : 0.19 p-value of test : 0.62 Kolmogorov-Smirnov- statistic = D- : 0.28 p-value of test : 0.38 Anderson-Darling statistic = A2 : 0.55 p-value of test : 0.69 Test on the sum of all N observations Number of degrees of freedom : 30 Chi-square statistic : 35.12 p-value of test : 0.24 ----------------------------------------------- CPU time used : 00:01:31.38 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+ : 0.15 p-value of test : 0.60 Kolmogorov-Smirnov- statistic = D- : 0.32 p-value of test : 0.11 Anderson-Darling statistic = A2 : 1.18 p-value of test : 0.27 Test on the sum of all N observations Number of degrees of freedom : 60 Chi-square statistic : 61.41 p-value of test : 0.43 ----------------------------------------------- CPU time used : 00:03:38.47 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 : 5.41 p-value of test : 0.37 ----------------------------------------------- CPU time used : 00:01:01.38 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 : 103.26 p-value of test : 0.85 ----------------------------------------------- CPU time used : 00:01:43.18 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 : 5094.54 p-value of test : 0.29 ----------------------------------------------- CPU time used : 00:01:16.18 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 : 0.58 ----------------------------------------------- CPU time used : 00:02:39.35 Generator state: N/A *********************************************************** Test sknuth_CollisionPermut calling smultin_Multinomial *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, Linux stdin smultin_Multinomial test: ----------------------------------------------- N = 20, n = 20000000, r = 0, t = 14, Sparse = TRUE GenerCell = smultin_GenerCellPermut Number of cells = t! = 87178291200 Expected number per cell = 1 / 4358.9146 EColl = n^2 / (2k) = 2294.14912 Hashing = TRUE Collision test, Mu = 2293.9736, Sigma = 47.8841 ----------------------------------------------- Test Results for Collisions For the total number of collisions, we use the Poisson approximation: Expected number of collisions = N*Mu : 45879.47 Observed number of collisions : 46310 p-value of test : 0.02 ----------------------------- Total number of cells containing j balls j = 0 : 1743165870310 j = 1 : 399907383 j = 2 : 46304 j = 3 : 3 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:03:45.70 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 : 45871 p-value of test : 0.51 ----------------------------- Total number of cells containing j balls j = 0 : 1743165869871 j = 1 : 399908263 j = 2 : 45861 j = 3 : 5 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:03:53.67 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+ : 0.097 p-value of test : 0.44 Kolmogorov-Smirnov- statistic = D- : 0.047 p-value of test : 0.81 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 : 3999960 Chi-square statistic : 4.00e+6 p-value of test : 0.74 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.18 p-value of test : 0.06 Kolmogorov-Smirnov- statistic = D- : 0.062 p-value of test : 0.71 Anderson-Darling statistic = A2 : 1.46 p-value of test : 0.19 ----------------------------------------------- CPU time used : 00:02:39.76 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+ : 0.065 p-value of test : 0.74 Kolmogorov-Smirnov- statistic = D- : 0.27 p-value of test : 9.6e-3 Anderson-Darling statistic = A2 : 3.65 p-value of test : 0.01 Test on the sum of all N observations Number of degrees of freedom : 2999970 Chi-square statistic : 3.01e+6 p-value of test : 0.02 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.11 p-value of test : 0.42 Kolmogorov-Smirnov- statistic = D- : 0.056 p-value of test : 0.80 Anderson-Darling statistic = A2 : 0.49 p-value of test : 0.76 ----------------------------------------------- CPU time used : 00:02:38.96 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+ : 0.029 p-value of test : 0.95 Kolmogorov-Smirnov- statistic = D- : 0.28 p-value of test : 0.03 Anderson-Darling statistic = A2 : 1.98 p-value of test : 0.10 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 p-value of test : 0.04 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.11 p-value of test : 0.56 Kolmogorov-Smirnov- statistic = D- : 0.10 p-value of test : 0.63 Anderson-Darling statistic = A2 : 0.28 p-value of test : 0.95 ----------------------------------------------- CPU time used : 00:02:08.00 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+ : 0.093 p-value of test : 0.66 Kolmogorov-Smirnov- statistic = D- : 0.16 p-value of test : 0.31 Anderson-Darling statistic = A2 : 0.78 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 : 0.21 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.25 p-value of test : 0.07 Kolmogorov-Smirnov- statistic = D- : 0.088 p-value of test : 0.70 Anderson-Darling statistic = A2 : 1.24 p-value of test : 0.25 ----------------------------------------------- CPU time used : 00:02:31.55 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+ : 0.073 p-value of test : 0.62 Kolmogorov-Smirnov- statistic = D- : 0.078 p-value of test : 0.59 Anderson-Darling statistic = A2 : 0.33 p-value of test : 0.91 ----------------------------------------------- CPU time used : 00:02:10.32 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+ : 0.11 p-value of test : 0.57 Kolmogorov-Smirnov- statistic = D- : 0.17 p-value of test : 0.29 Anderson-Darling statistic = A2 : 0.66 p-value of test : 0.60 ----------------------------------------------- CPU time used : 00:01:34.28 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+ : 0.17 p-value of test : 0.30 Kolmogorov-Smirnov- statistic = D- : 0.12 p-value of test : 0.53 Anderson-Darling statistic = A2 : 0.69 p-value of test : 0.56 ----------------------------------------------- CPU time used : 00:02:04.19 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+ : 3.21e-4 p-value of test : 0.02 Kolmogorov-Smirnov- statistic = D- : 1.13e-5 p-value of test : 0.9949 Anderson-Darling statistic = A2 : 3.75 p-value of test : 0.01 ----------------------------------------------- CPU time used : 00:00:31.86 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, Linux stdin svaria_SampleMean test: ----------------------------------------------- N = 20000000, n = 30, r = 10 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 4.68e-5 p-value of test : 0.92 Kolmogorov-Smirnov- statistic = D- : 2.75e-4 p-value of test : 0.05 Anderson-Darling statistic = A2 : 1.53 p-value of test : 0.17 ----------------------------------------------- CPU time used : 00:00:33.61 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 : -0.50 p-value of test : 0.69 ----------------------------------------------- CPU time used : 00:00:32.70 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 : 0.66 p-value of test : 0.26 ----------------------------------------------- CPU time used : 00:00:32.89 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 : -0.028 p-value of test : 0.51 ----------------------------------------------- CPU time used : 00:01:41.04 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 : -0.44 p-value of test : 0.67 ----------------------------------------------- CPU time used : 00:01:42.22 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 : 71.35 p-value of test : 0.34 ----------------------------------------------- CPU time used : 00:01:15.59 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 : 57.06 p-value of test : 0.80 ----------------------------------------------- CPU time used : 00:01:28.65 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 : 69.28 p-value of test : 0.40 ----------------------------------------------- CPU time used : 00:01:28.89 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 : 29.82 p-value of test : 0.79 ----------------------------------------------- CPU time used : 00:01:14.62 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 : 44.59 p-value of test : 0.18 ----------------------------------------------- CPU time used : 00:01:28.56 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 : 28.07 p-value of test : 0.85 ----------------------------------------------- CPU time used : 00:01:28.32 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, Linux stdin svaria_SumCollector test: ----------------------------------------------- N = 1, n = 500000000, r = 0, g = 10 ----------------------------------------------- Number of degrees of freedom : 29 Chi-square statistic : 20.33 p-value of test : 0.88 ----------------------------------------------- CPU time used : 00:02:33.42 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+ : 0.27 p-value of test : 0.20 Kolmogorov-Smirnov- statistic = D- : 0.076 p-value of test : 0.85 Anderson-Darling statistic = A2 : 1.17 p-value of test : 0.28 Test on the sum of all N observations Number of degrees of freedom : 40 Chi-square statistic : 28.22 p-value of test : 0.92 ----------------------------------------------- CPU time used : 00:01:14.94 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+ : 0.22 p-value of test : 0.34 Kolmogorov-Smirnov- statistic = D- : 0.12 p-value of test : 0.70 Anderson-Darling statistic = A2 : 0.54 p-value of test : 0.70 Test on the sum of all N observations Number of degrees of freedom : 40 Chi-square statistic : 36.96 p-value of test : 0.61 ----------------------------------------------- CPU time used : 00:01:11.45 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 : 1.85 p-value of test : 0.60 ----------------------------------------------- CPU time used : 00:01:58.38 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 : 1.01 p-value of test : 0.80 ----------------------------------------------- CPU time used : 00:02:01.31 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 : 4.96 p-value of test : 0.08 ----------------------------------------------- CPU time used : 00:01:30.52 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 : 00:01:17.55 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+ : 0.20 p-value of test : 0.39 Kolmogorov-Smirnov- statistic = D- : 0.060 p-value of test : 0.90 Anderson-Darling statistic = A2 : 0.49 p-value of test : 0.76 Test on the sum of all N observations Number of degrees of freedom : 130 Chi-square statistic : 116.59 p-value of test : 0.79 ----------------------------------------------- CPU time used : 00:00:52.35 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+ : 0.13 p-value of test : 0.67 Kolmogorov-Smirnov- statistic = D- : 0.12 p-value of test : 0.70 Anderson-Darling statistic = A2 : 0.20 p-value of test : 0.9909 Test on the sum of all N observations Number of degrees of freedom : 17430 Chi-square statistic :17414.93 p-value of test : 0.53 ----------------------------------------------- CPU time used : 00:01:39.67 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 : 40.97 p-value of test : 0.26 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 ChiSquare statistic : 33.21 p-value of test : 0.55 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 ChiSquare statistic : 29.68 p-value of test : 0.24 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 ChiSquare statistic : 27.68 p-value of test : 0.27 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 ChiSquare statistic : 11.42 p-value of test : 0.83 ----------------------------------------------- CPU time used : 00:00:41.45 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 : 43.39 p-value of test : 0.19 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 ChiSquare statistic : 17.74 p-value of test : 0.9932 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 ChiSquare statistic : 26.41 p-value of test : 0.39 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 ChiSquare statistic : 21.45 p-value of test : 0.61 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 ChiSquare statistic : 28.94 p-value of test : 0.04 ----------------------------------------------- CPU time used : 00:00:40.57 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 : 135.42 p-value of test : 0.72 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 ChiSquare statistic : 154.87 p-value of test : 0.29 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 ChiSquare statistic : 462.91 p-value of test : 0.88 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 ChiSquare statistic : 145.85 p-value of test : 0.27 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 ChiSquare statistic : 77.05 p-value of test : 0.38 ----------------------------------------------- CPU time used : 00:00:47.28 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 : 161.43 p-value of test : 0.18 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 ChiSquare statistic : 123.20 p-value of test : 0.91 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 ChiSquare statistic : 524.76 p-value of test : 0.21 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 ChiSquare statistic : 121.50 p-value of test : 0.81 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 ChiSquare statistic : 60.03 p-value of test : 0.88 ----------------------------------------------- CPU time used : 00:00:46.54 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 : 394.75 p-value of test : 0.34 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 ChiSquare statistic : 342.99 p-value of test : 0.93 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 ChiSquare statistic : 5153.64 p-value of test : 0.06 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 ChiSquare statistic : 345.53 p-value of test : 0.88 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 ChiSquare statistic : 229.97 p-value of test : 0.07 ----------------------------------------------- CPU time used : 00:00:39.55 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 : 404.69 p-value of test : 0.22 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 ChiSquare statistic : 350.61 p-value of test : 0.89 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 ChiSquare statistic : 4863.95 p-value of test : 0.91 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 ChiSquare statistic : 386.67 p-value of test : 0.37 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 ChiSquare statistic : 224.70 p-value of test : 0.11 ----------------------------------------------- CPU time used : 00:00:34.70 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 : 30.14 p-value of test : 2.7e-3 ----------------------------------------------- Normal statistic for number of jumps : 0.17 p-value of test : 0.43 ----------------------------------------------- CPU time used : 00:01:56.87 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 : 15.77 p-value of test : 0.20 ----------------------------------------------- Normal statistic for number of jumps : -0.52 p-value of test : 0.70 ----------------------------------------------- CPU time used : 00:01:55.69 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+ : 0.17 p-value of test : 0.52 Kolmogorov-Smirnov- statistic = D- : 0.13 p-value of test : 0.67 Anderson-Darling statistic = A2 : 0.43 p-value of test : 0.82 Tests on the sum of all N observations Standardized normal statistic : -0.43 p-value of test : 0.67 Sample variance : 1.28 p-value of test : 0.24 ----------------------------------------------- CPU time used : 00:01:06.17 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+ : 0.15 p-value of test : 0.58 Kolmogorov-Smirnov- statistic = D- : 0.22 p-value of test : 0.33 Anderson-Darling statistic = A2 : 0.44 p-value of test : 0.80 Tests on the sum of all N observations Standardized normal statistic : 0.26 p-value of test : 0.40 Sample variance : 0.70 p-value of test : 0.71 ----------------------------------------------- CPU time used : 00:01:05.11 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+ : 8.36e-3 p-value of test : 0.56 Kolmogorov-Smirnov- statistic = D- : 0.010 p-value of test : 0.40 Anderson-Darling statistic = A2 : 0.34 p-value of test : 0.90 ----------------------------------------------- CPU time used : 00:00:46.85 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+ : 9.15e-3 p-value of test : 0.50 Kolmogorov-Smirnov- statistic = D- : 9.24e-3 p-value of test : 0.49 Anderson-Darling statistic = A2 : 0.64 p-value of test : 0.61 ----------------------------------------------- CPU time used : 00:00:45.47 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 : 14.92 p-value of test : 0.06 ----------------------------------------------- Global longest run of 1 : 31.00 p-value of test : 0.69 ----------------------------------------------- CPU time used : 00:01:28.67 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 : 4.26 p-value of test : 0.83 ----------------------------------------------- Global longest run of 1 : 33.00 p-value of test : 0.44 ----------------------------------------------- CPU time used : 00:01:32.35 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+ : 0.19 p-value of test : 0.43 Kolmogorov-Smirnov- statistic = D- : 0.098 p-value of test : 0.77 Anderson-Darling statistic = A2 : 0.43 p-value of test : 0.82 Test on the sum of all N observations Number of degrees of freedom : 200 Chi-square statistic : 186.71 p-value of test : 0.74 ----------------------------------------------- CPU time used : 00:02:42.95 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+ : 0.044 p-value of test : 0.94 Kolmogorov-Smirnov- statistic = D- : 0.22 p-value of test : 0.34 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 : 200 Chi-square statistic : 231.28 p-value of test : 0.06 ----------------------------------------------- CPU time used : 00:02:44.09 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+ : 0.070 p-value of test : 0.87 Kolmogorov-Smirnov- statistic = D- : 0.25 p-value of test : 0.23 Anderson-Darling statistic = A2 : 0.57 p-value of test : 0.68 Test on the sum of all N observations Number of degrees of freedom : 10000 Chi-square statistic :10089.21 p-value of test : 0.26 ----------------------------------------------- CPU time used : 00:01:00.42 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+ : 0.26 p-value of test : 0.22 Kolmogorov-Smirnov- statistic = D- : 0.24 p-value of test : 0.28 Anderson-Darling statistic = A2 : 1.05 p-value of test : 0.33 Test on the sum of all N observations Number of degrees of freedom : 10000 Chi-square statistic :10020.54 p-value of test : 0.44 ----------------------------------------------- CPU time used : 00:01:03.40 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 : -0.11 p-value of test : 0.55 ----------------------------------------------- CPU time used : 00:01:14.42 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, Linux stdin sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 100000000, r = 10, s = 10, L = 300 ----------------------------------------------- Normal statistic : 1.06 p-value of test : 0.14 ----------------------------------------------- CPU time used : 00:01:11.00 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, Linux stdin sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 100000000, r = 10, s = 10, L = 1200 ----------------------------------------------- Normal statistic : 1.01 p-value of test : 0.16 ----------------------------------------------- CPU time used : 00:04:41.22 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+ : 0.26 p-value of test : 0.22 Kolmogorov-Smirnov- statistic = D- : 0.15 p-value of test : 0.58 Anderson-Darling statistic = A2 : 0.58 p-value of test : 0.66 Test on the sum of all N observations Number of degrees of freedom : 4890 Chi-square statistic : 4884.70 p-value of test : 0.52 ----------------------------------------------- CPU time used : 00:01:54.62 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+ : 0.15 p-value of test : 0.57 Kolmogorov-Smirnov- statistic = D- : 0.23 p-value of test : 0.30 Anderson-Darling statistic = A2 : 1.14 p-value of test : 0.29 Test on the sum of all N observations Number of degrees of freedom : 4890 Chi-square statistic : 4961.41 p-value of test : 0.23 ----------------------------------------------- CPU time used : 00:01:58.62 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 : 4018.47 p-value of test : 0.86 ----------------------------------------------- CPU time used : 00:01:23.97 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 : 4221.00 p-value of test : 0.13 ----------------------------------------------- CPU time used : 00:01:27.34 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 :11990.27 p-value of test : 0.14 ----------------------------------------------- CPU time used : 00:01:30.78 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 :11871.40 p-value of test : 0.38 ----------------------------------------------- CPU time used : 00:01:34.21 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 : 62.02 p-value of test : 0.21 ----------------------------------------------- Total number of bits: 7999996086 Normal statistic for number of bits : -0.031 p-value of test : 0.51 ----------------------------------------------- CPU time used : 00:01:12.87 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 : 55.21 p-value of test : 0.43 ----------------------------------------------- Total number of bits: 8000019957 Normal statistic for number of bits : 0.16 p-value of test : 0.44 ----------------------------------------------- CPU time used : 00:01:14.52 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+ : 0.27 p-value of test : 0.20 Kolmogorov-Smirnov- statistic = D- : 0.20 p-value of test : 0.38 Anderson-Darling statistic = A2 : 0.98 p-value of test : 0.37 Tests on the sum of all N observations Standardized normal statistic : -0.33 p-value of test : 0.63 Sample variance : 0.25 p-value of test : 0.99 ----------------------------------------------- CPU time used : 00:02:26.78 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+ : 0.19 p-value of test : 0.42 Kolmogorov-Smirnov- statistic = D- : 0.11 p-value of test : 0.74 Anderson-Darling statistic = A2 : 0.48 p-value of test : 0.77 Tests on the sum of all N observations Standardized normal statistic : -0.62 p-value of test : 0.73 Sample variance : 0.76 p-value of test : 0.65 ----------------------------------------------- CPU time used : 00:02:09.31 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+ : 0.27 p-value of test : 0.20 Kolmogorov-Smirnov- statistic = D- : 0.12 p-value of test : 0.69 Anderson-Darling statistic = A2 : 0.95 p-value of test : 0.38 Tests on the sum of all N observations Standardized normal statistic : -0.84 p-value of test : 0.80 Sample variance : 0.66 p-value of test : 0.74 ----------------------------------------------- CPU time used : 00:02:23.54 Generator state: N/A *********************************************************** HOST = gc04016493.gdsc.susx.ac.uk, Linux stdin sstring_AutoCor test: ----------------------------------------------- N = 10, n = 1000000029, r = 27, s = 3, d = 3 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.30 p-value of test : 0.13 Kolmogorov-Smirnov- statistic = D- : 0.12 p-value of test : 0.70 Anderson-Darling statistic = A2 : 1.32 p-value of test : 0.23 Tests on the sum of all N observations Standardized normal statistic : -1.18 p-value of test : 0.88 Sample variance : 0.51 p-value of test : 0.87 ----------------------------------------------- CPU time used : 00:02:07.05 Generator state: N/A ========= Summary results of BigCrush ========= Version: TestU01 1.2.3 Generator: stdin Number of statistics: 160 Total CPU time: 03:56:05.94 All tests were passed # # End: 2022-04-07 08:17:42 # # Exit value: 0 # Bytes used: 1428401758208 >= 2^40 (1.4 TB) # # Test duration: 239.66453333333337 minutes #