# # RandomSource: XO_RO_SHI_RO_1024_SS # RNG: org.apache.commons.rng.core.source64.XoRoShiRo1024StarStar # Seed: 80caa821a886df1a2ea5e16adaedfe44686bfd041123da7c1b03a9114f910034f3ccf1ef830158f068a92db40f5d5867639ad7acedb9fb5d525e92b9ae45228c7329eec037c3618a6ad1784781636b0b89b08778190cc062a3a728957e85b6a38141e1af3bfc23f49b122bad0f12cbc45c0631644fb6a987ae0f8dc9bae1affd # # Java: 1.8.0_202 # Runtime: Java(TM) SE Runtime Environment (build 1.8.0_202-b08) # JVM: Java HotSpot(TM) 64-Bit Server VM (build 25.202-b08, mixed mode) # OS: Linux 3.13.0-91-generic amd64 # Native byte-order: LITTLE_ENDIAN # Output byte-order: LITTLE_ENDIAN # 64-bit output: false # # Analyzer: /home/ah403/git/commons-rng/commons-rng-examples/examples-stress/stdin2testu01 BigCrush # # Start: 2019-10-11 08:05:50 # xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx Starting BigCrush Version: TestU01 1.2.3 xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx *********************************************************** Test smarsa_SerialOver calling smultin_MultinomialOver *********************************************************** HOST = tallinn, 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 : 0.51 ----------------------------------------------- CPU time used : 00:02:05.87 Generator state: N/A *********************************************************** Test smarsa_SerialOver calling smultin_MultinomialOver *********************************************************** HOST = tallinn, 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 : 0.17 ----------------------------------------------- CPU time used : 00:02:12.18 Generator state: N/A *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = tallinn, 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 : 1352 p-value of test : 0.62 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334472 j = 1 : 599997296 j = 2 : 1352 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:03:42.64 Generator state: N/A *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = tallinn, 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 : 00:04:13.53 Generator state: N/A *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = tallinn, 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 : 1342 p-value of test : 0.72 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334462 j = 1 : 599997316 j = 2 : 1342 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:04:50.36 Generator state: N/A *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = tallinn, 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 : 1334 p-value of test : 0.79 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334454 j = 1 : 599997332 j = 2 : 1334 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:04:56.67 Generator state: N/A *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = tallinn, 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 : 1356 p-value of test : 0.58 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334476 j = 1 : 599997288 j = 2 : 1356 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:04:54.45 Generator state: N/A *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = tallinn, 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 : 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 : 00:04:59.58 Generator state: N/A *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = tallinn, 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 : 1368 p-value of test : 0.46 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334488 j = 1 : 599997264 j = 2 : 1368 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:04:54.51 Generator state: N/A *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = tallinn, 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 : 1298 p-value of test : 0.96 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334418 j = 1 : 599997404 j = 2 : 1298 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:05:12.82 Generator state: N/A *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = tallinn, 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 : 1386 p-value of test : 0.28 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334506 j = 1 : 599997228 j = 2 : 1386 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:05:04.94 Generator state: N/A *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = tallinn, 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 : 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 : 00:04:53.90 Generator state: N/A *********************************************************** HOST = tallinn, 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 : 5452 p-value of test : 0.34 ----------------------------------------------- CPU time used : 00:05:12.17 Generator state: N/A *********************************************************** HOST = tallinn, 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 : 4319 p-value of test : 0.60 ----------------------------------------------- CPU time used : 00:02:17.57 Generator state: N/A *********************************************************** HOST = tallinn, 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 : 7398 p-value of test : 0.18 ----------------------------------------------- CPU time used : 00:03:44.76 Generator state: N/A *********************************************************** HOST = tallinn, 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 : 4288 p-value of test : 0.77 ----------------------------------------------- CPU time used : 00:02:49.90 Generator state: N/A *********************************************************** HOST = tallinn, 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 : 4381 p-value of test : 0.25 ----------------------------------------------- CPU time used : 00:02:55.86 Generator state: N/A *********************************************************** HOST = tallinn, 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 : 7352 p-value of test : 0.35 ----------------------------------------------- CPU time used : 00:04:40.25 Generator state: N/A *********************************************************** HOST = tallinn, 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 : 7288 p-value of test : 0.64 ----------------------------------------------- CPU time used : 00:04:39.14 Generator state: N/A *********************************************************** HOST = tallinn, 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 : 7352 p-value of test : 0.35 ----------------------------------------------- CPU time used : 00:05:56.35 Generator state: N/A *********************************************************** HOST = tallinn, 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 : 7361 p-value of test : 0.31 ----------------------------------------------- CPU time used : 00:06:19.72 Generator state: N/A *********************************************************** HOST = tallinn, 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) : 0.28 p-value of test : 0.95 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) : 1.90 p-value of test : 0.10 Test on the Nm values of W_{n,i}(mNP1): 0.85 p-value of test : 0.45 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 900 Number of jumps of Y : 922 p-value of test : 0.24 Stat. AD (mNP2) : 1.87 p-value of test : 0.11 Stat. AD after spacings (mNP2-S) : 0.47 p-value of test : 0.78 ----------------------------------------------- CPU time used : 00:03:12.47 Generator state: N/A *********************************************************** HOST = tallinn, 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) : 0.64 p-value of test : 0.61 A2 test based on the spacings between the successive jump times of process Y_n(t): A2 test on the values of A2 (m-NP) : 1.61 p-value of test : 0.15 Test on the Nm values of W_{n,i}(mNP1): 0.41 p-value of test : 0.84 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 600 Number of jumps of Y : 598 p-value of test : 0.52 Stat. AD (mNP2) : 1.80 p-value of test : 0.12 Stat. AD after spacings (mNP2-S) : 0.72 p-value of test : 0.54 ----------------------------------------------- CPU time used : 00:01:47.50 Generator state: N/A *********************************************************** HOST = tallinn, 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) : 0.82 p-value of test : 0.46 A2 test based on the spacings between the successive jump times of process Y_n(t): A2 test on the values of A2 (m-NP) : 0.37 p-value of test : 0.88 Test on the Nm values of W_{n,i}(mNP1): 0.57 p-value of test : 0.67 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 300 Number of jumps of Y : 287 p-value of test : 0.76 Stat. AD (mNP2) : 0.99 p-value of test : 0.36 Stat. AD after spacings (mNP2-S) : 1.21 p-value of test : 0.26 ----------------------------------------------- CPU time used : 00:03:41.68 Generator state: N/A *********************************************************** HOST = tallinn, 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) : 0.52 p-value of test : 0.72 A2 test based on the spacings between the successive jump times of process Y_n(t): A2 test on the values of A2 (m-NP) : 0.55 p-value of test : 0.69 Test on the Nm values of W_{n,i}(mNP1): 0.27 p-value of test : 0.96 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 150 Number of jumps of Y : 153 p-value of test : 0.41 Stat. AD (mNP2) : 1.03 p-value of test : 0.34 Stat. AD after spacings (mNP2-S) : 0.48 p-value of test : 0.77 ----------------------------------------------- CPU time used : 00:04:06.60 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sknuth_SimpPoker test: ----------------------------------------------- N = 1, n = 400000000, r = 0, d = 8, k = 8 ----------------------------------------------- Number of degrees of freedom : 7 Chi-square statistic : 6.99 p-value of test : 0.43 ----------------------------------------------- CPU time used : 00:01:35.68 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sknuth_SimpPoker test: ----------------------------------------------- N = 1, n = 400000000, r = 27, d = 8, k = 8 ----------------------------------------------- Number of degrees of freedom : 7 Chi-square statistic : 6.17 p-value of test : 0.52 ----------------------------------------------- CPU time used : 00:01:57.88 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sknuth_SimpPoker test: ----------------------------------------------- N = 1, n = 100000000, r = 0, d = 32, k = 32 ----------------------------------------------- Number of degrees of freedom : 18 Chi-square statistic : 21.77 p-value of test : 0.24 ----------------------------------------------- CPU time used : 00:01:34.77 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sknuth_SimpPoker test: ----------------------------------------------- N = 1, n = 100000000, r = 25, d = 32, k = 32 ----------------------------------------------- Number of degrees of freedom : 18 Chi-square statistic : 15.66 p-value of test : 0.62 ----------------------------------------------- CPU time used : 00:01:52.34 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sknuth_CouponCollector test: ----------------------------------------------- N = 1, n = 200000000, r = 0, d = 8 ----------------------------------------------- Number of degrees of freedom : 54 Chi-square statistic : 52.55 p-value of test : 0.53 ----------------------------------------------- CPU time used : 00:02:15.89 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sknuth_CouponCollector test: ----------------------------------------------- N = 1, n = 200000000, r = 10, d = 8 ----------------------------------------------- Number of degrees of freedom : 54 Chi-square statistic : 64.01 p-value of test : 0.17 ----------------------------------------------- CPU time used : 00:02:37.36 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sknuth_CouponCollector test: ----------------------------------------------- N = 1, n = 200000000, r = 20, d = 8 ----------------------------------------------- Number of degrees of freedom : 54 Chi-square statistic : 62.42 p-value of test : 0.20 ----------------------------------------------- CPU time used : 00:02:37.18 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sknuth_CouponCollector test: ----------------------------------------------- N = 1, n = 200000000, r = 27, d = 8 ----------------------------------------------- Number of degrees of freedom : 54 Chi-square statistic : 43.87 p-value of test : 0.84 ----------------------------------------------- CPU time used : 00:02:37.56 Generator state: N/A *********************************************************** HOST = tallinn, 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 : 241.89 p-value of test : 0.31 ----------------------------------------------- CPU time used : 00:02:55.35 Generator state: N/A *********************************************************** HOST = tallinn, 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 : 452.28 p-value of test : 0.26 ----------------------------------------------- CPU time used : 00:03:37.34 Generator state: N/A *********************************************************** HOST = tallinn, 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 : 1474.79 p-value of test : 0.24 ----------------------------------------------- CPU time used : 00:04:23.53 Generator state: N/A *********************************************************** HOST = tallinn, 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 : 6812.36 p-value of test : 0.98 ----------------------------------------------- CPU time used : 00:03:47.21 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sknuth_Run test: ----------------------------------------------- N = 5, n = 1000000000, r = 0, Up = FALSE ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.26 p-value of test : 0.43 Kolmogorov-Smirnov- statistic = D- : 0.17 p-value of test : 0.67 Anderson-Darling statistic = A2 : 0.42 p-value of test : 0.82 Test on the sum of all N observations Number of degrees of freedom : 30 Chi-square statistic : 31.34 p-value of test : 0.40 ----------------------------------------------- CPU time used : 00:02:02.87 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sknuth_Run test: ----------------------------------------------- N = 10, n = 1000000000, r = 15, Up = TRUE ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.098 p-value of test : 0.77 Kolmogorov-Smirnov- statistic = D- : 0.27 p-value of test : 0.20 Anderson-Darling statistic = A2 : 0.71 p-value of test : 0.54 Test on the sum of all N observations Number of degrees of freedom : 60 Chi-square statistic : 62.49 p-value of test : 0.39 ----------------------------------------------- CPU time used : 00:05:02.61 Generator state: N/A *********************************************************** Test sknuth_Permutation calling smultin_Multinomial *********************************************************** HOST = tallinn, 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 : 0.48 p-value of test : 0.9928 ----------------------------------------------- CPU time used : 00:01:25.98 Generator state: N/A *********************************************************** Test sknuth_Permutation calling smultin_Multinomial *********************************************************** HOST = tallinn, 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 : 89.38 p-value of test : 0.98 ----------------------------------------------- CPU time used : 00:02:23.20 Generator state: N/A *********************************************************** Test sknuth_Permutation calling smultin_Multinomial *********************************************************** HOST = tallinn, 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 : 4769.61 p-value of test : 0.9968 ----------------------------------------------- CPU time used : 00:01:42.12 Generator state: N/A *********************************************************** Test sknuth_Permutation calling smultin_Multinomial *********************************************************** HOST = tallinn, 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 : 0.66 ----------------------------------------------- CPU time used : 00:03:22.23 Generator state: N/A *********************************************************** Test sknuth_CollisionPermut calling smultin_Multinomial *********************************************************** HOST = tallinn, 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 : 46004 p-value of test : 0.28 ----------------------------- Total number of cells containing j balls j = 0 : 1743165870004 j = 1 : 399907999 j = 2 : 45990 j = 3 : 7 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:04:37.94 Generator state: N/A *********************************************************** Test sknuth_CollisionPermut calling smultin_Multinomial *********************************************************** HOST = tallinn, 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 : 45865 p-value of test : 0.53 ----------------------------- Total number of cells containing j balls j = 0 : 1743165869865 j = 1 : 399908274 j = 2 : 45857 j = 3 : 4 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:04:51.30 Generator state: N/A *********************************************************** HOST = tallinn, 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+ : 0.14 p-value of test : 0.19 Kolmogorov-Smirnov- statistic = D- : 0.040 p-value of test : 0.86 Anderson-Darling statistic = A2 : 0.83 p-value of test : 0.46 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+ : 0.15 p-value of test : 0.17 Kolmogorov-Smirnov- statistic = D- : 0.094 p-value of test : 0.47 Anderson-Darling statistic = A2 : 0.80 p-value of test : 0.48 ----------------------------------------------- CPU time used : 00:03:56.47 Generator state: N/A *********************************************************** HOST = tallinn, 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+ : 0.094 p-value of test : 0.56 Kolmogorov-Smirnov- statistic = D- : 0.094 p-value of test : 0.55 Anderson-Darling statistic = A2 : 0.32 p-value of test : 0.93 Test on the sum of all N observations Number of degrees of freedom : 2999970 Chi-square statistic : 3.00e+6 p-value of test : 0.40 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.15 p-value of test : 0.25 Kolmogorov-Smirnov- statistic = D- : 0.090 p-value of test : 0.58 Anderson-Darling statistic = A2 : 1.66 p-value of test : 0.14 ----------------------------------------------- CPU time used : 00:03:42.47 Generator state: N/A *********************************************************** HOST = tallinn, 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+ : 0.11 p-value of test : 0.58 Kolmogorov-Smirnov- statistic = D- : 0.20 p-value of test : 0.19 Anderson-Darling statistic = A2 : 0.81 p-value of test : 0.47 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 p-value of test : 0.23 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.070 p-value of test : 0.79 Kolmogorov-Smirnov- statistic = D- : 0.15 p-value of test : 0.36 Anderson-Darling statistic = A2 : 0.43 p-value of test : 0.82 ----------------------------------------------- CPU time used : 00:02:51.50 Generator state: N/A *********************************************************** HOST = tallinn, 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+ : 0.26 p-value of test : 0.05 Kolmogorov-Smirnov- statistic = D- : 0.080 p-value of test : 0.74 Anderson-Darling statistic = A2 : 1.97 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 : 0.89 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.032 p-value of test : 0.94 Kolmogorov-Smirnov- statistic = D- : 0.20 p-value of test : 0.18 Anderson-Darling statistic = A2 : 1.27 p-value of test : 0.24 ----------------------------------------------- CPU time used : 00:03:31.05 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleProd test: ----------------------------------------------- N = 40, n = 10000000, r = 0, t = 8 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.072 p-value of test : 0.63 Kolmogorov-Smirnov- statistic = D- : 0.13 p-value of test : 0.22 Anderson-Darling statistic = A2 : 0.67 p-value of test : 0.58 ----------------------------------------------- CPU time used : 00:03:26.42 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleProd test: ----------------------------------------------- N = 20, n = 10000000, r = 0, t = 16 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.24 p-value of test : 0.09 Kolmogorov-Smirnov- statistic = D- : 0.032 p-value of test : 0.94 Anderson-Darling statistic = A2 : 1.28 p-value of test : 0.24 ----------------------------------------------- CPU time used : 00:02:34.03 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleProd test: ----------------------------------------------- N = 20, n = 10000000, r = 0, t = 24 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.085 p-value of test : 0.71 Kolmogorov-Smirnov- statistic = D- : 0.25 p-value of test : 0.07 Anderson-Darling statistic = A2 : 1.86 p-value of test : 0.11 ----------------------------------------------- CPU time used : 00:03:20.13 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleMean test: ----------------------------------------------- N = 20000000, n = 30, r = 0 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 1.39e-4 p-value of test : 0.46 Kolmogorov-Smirnov- statistic = D- : 1.50e-4 p-value of test : 0.41 Anderson-Darling statistic = A2 : 0.51 p-value of test : 0.74 ----------------------------------------------- CPU time used : 00:00:47.19 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleMean test: ----------------------------------------------- N = 20000000, n = 30, r = 10 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 8.32e-5 p-value of test : 0.76 Kolmogorov-Smirnov- statistic = D- : 2.00e-4 p-value of test : 0.20 Anderson-Darling statistic = A2 : 0.65 p-value of test : 0.60 ----------------------------------------------- CPU time used : 00:00:45.46 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleCorr test: ----------------------------------------------- N = 1, n = 2000000000, r = 0, k = 1 ----------------------------------------------- Normal statistic : -1.80 p-value of test : 0.96 ----------------------------------------------- CPU time used : 00:00:40.81 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleCorr test: ----------------------------------------------- N = 1, n = 2000000000, r = 0, k = 2 ----------------------------------------------- Normal statistic : 0.080 p-value of test : 0.47 ----------------------------------------------- CPU time used : 00:00:43.69 Generator state: N/A *********************************************************** HOST = tallinn, 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 : -1.00 p-value of test : 0.84 ----------------------------------------------- CPU time used : 00:02:18.94 Generator state: N/A *********************************************************** HOST = tallinn, 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 : 00:02:21.20 Generator state: N/A *********************************************************** HOST = tallinn, 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 : 73.74 p-value of test : 0.27 ----------------------------------------------- CPU time used : 00:01:39.90 Generator state: N/A *********************************************************** HOST = tallinn, 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 : 49.38 p-value of test : 0.95 ----------------------------------------------- CPU time used : 00:01:59.11 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_WeightDistrib test: ----------------------------------------------- N = 1, n = 20000000, r = 28, k = 256, Alpha = 0, Beta = 0.25 ----------------------------------------------- Number of degrees of freedom : 67 Chi-square statistic : 64.63 p-value of test : 0.56 ----------------------------------------------- CPU time used : 00:01:57.37 Generator state: N/A *********************************************************** HOST = tallinn, 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 : 31.09 p-value of test : 0.74 ----------------------------------------------- CPU time used : 00:01:39.28 Generator state: N/A *********************************************************** HOST = tallinn, 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 : 33.14 p-value of test : 0.65 ----------------------------------------------- CPU time used : 00:01:50.68 Generator state: N/A *********************************************************** HOST = tallinn, 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 : 30.54 p-value of test : 0.76 ----------------------------------------------- CPU time used : 00:01:57.70 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SumCollector test: ----------------------------------------------- N = 1, n = 500000000, r = 0, g = 10 ----------------------------------------------- Number of degrees of freedom : 29 Chi-square statistic : 21.17 p-value of test : 0.85 ----------------------------------------------- CPU time used : 00:03:21.29 Generator state: N/A *********************************************************** HOST = tallinn, 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- : 0.014 p-value of test : 0.98 Anderson-Darling statistic = A2 : 1.35 p-value of test : 0.22 Test on the sum of all N observations Number of degrees of freedom : 40 Chi-square statistic : 27.67 p-value of test : 0.93 ----------------------------------------------- CPU time used : 00:01:36.60 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin smarsa_MatrixRank test: ----------------------------------------------- N = 10, n = 1000000, r = 25, s = 5, L = 30, k = 30 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.027 p-value of test : 0.97 Kolmogorov-Smirnov- statistic = D- : 0.31 p-value of test : 0.11 Anderson-Darling statistic = A2 : 1.02 p-value of test : 0.35 Test on the sum of all N observations Number of degrees of freedom : 40 Chi-square statistic : 48.82 p-value of test : 0.16 ----------------------------------------------- CPU time used : 00:01:37.31 Generator state: N/A *********************************************************** HOST = tallinn, 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 : 0.66 p-value of test : 0.88 ----------------------------------------------- CPU time used : 00:02:31.67 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 5000, r = 26, s = 4, L = 1000, k = 1000 ----------------------------------------------- Number of degrees of freedom : 3 Chi-square statistic : 7.96 p-value of test : 0.05 ----------------------------------------------- CPU time used : 00:02:29.12 Generator state: N/A *********************************************************** HOST = tallinn, 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 : 0.30 p-value of test : 0.86 ----------------------------------------------- CPU time used : 00:01:57.00 Generator state: N/A *********************************************************** HOST = tallinn, 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 : 0.54 p-value of test : 0.76 ----------------------------------------------- CPU time used : 00:01:42.29 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin smarsa_Savir2 test: ----------------------------------------------- N = 10, n = 10000000, r = 10, m = 1048576, t = 30 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 7.02e-3 p-value of test : 0.9925 Kolmogorov-Smirnov- statistic = D- : 0.47 p-value of test : 6.9e-3 Anderson-Darling statistic = A2 : 3.87 p-value of test : 0.01 Test on the sum of all N observations Number of degrees of freedom : 130 Chi-square statistic : 174.15 p-value of test : 5.9e-3 ----------------------------------------------- CPU time used : 00:00:52.15 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin smarsa_GCD test: ----------------------------------------------- N = 10, n = 50000000, r = 0, s = 30 ----------------------------------------------- Test results for GCD values: Kolmogorov-Smirnov+ statistic = D+ : 0.32 p-value of test : 0.10 Kolmogorov-Smirnov- statistic = D- : 0.087 p-value of test : 0.81 Anderson-Darling statistic = A2 : 1.33 p-value of test : 0.22 Test on the sum of all N observations Number of degrees of freedom : 17430 Chi-square statistic :17232.25 p-value of test : 0.86 ----------------------------------------------- CPU time used : 00:01:57.72 Generator state: N/A *********************************************************** HOST = tallinn, 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 : 28.75 p-value of test : 0.80 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 ChiSquare statistic : 27.75 p-value of test : 0.80 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 ChiSquare statistic : 23.90 p-value of test : 0.53 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 ChiSquare statistic : 24.68 p-value of test : 0.42 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 ChiSquare statistic : 19.92 p-value of test : 0.28 ----------------------------------------------- CPU time used : 00:01:03.45 Generator state: N/A *********************************************************** HOST = tallinn, 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 : 22.02 p-value of test : 0.97 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 ChiSquare statistic : 29.84 p-value of test : 0.72 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 ChiSquare statistic : 35.77 p-value of test : 0.08 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 ChiSquare statistic : 42.46 p-value of test : 0.01 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 ChiSquare statistic : 22.63 p-value of test : 0.16 ----------------------------------------------- CPU time used : 00:01:02.70 Generator state: N/A *********************************************************** HOST = tallinn, 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 : 139.13 p-value of test : 0.64 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 ChiSquare statistic : 157.11 p-value of test : 0.25 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 ChiSquare statistic : 543.06 p-value of test : 0.09 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 ChiSquare statistic : 128.58 p-value of test : 0.66 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 ChiSquare statistic : 92.90 p-value of test : 0.07 ----------------------------------------------- CPU time used : 00:01:12.98 Generator state: N/A *********************************************************** HOST = tallinn, 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 : 141.46 p-value of test : 0.59 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 ChiSquare statistic : 119.26 p-value of test : 0.95 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 ChiSquare statistic : 505.63 p-value of test : 0.42 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 ChiSquare statistic : 147.18 p-value of test : 0.24 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 ChiSquare statistic : 71.00 p-value of test : 0.58 ----------------------------------------------- CPU time used : 00:01:14.70 Generator state: N/A *********************************************************** HOST = tallinn, 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 : 367.00 p-value of test : 0.73 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 ChiSquare statistic : 369.34 p-value of test : 0.70 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 ChiSquare statistic : 5132.60 p-value of test : 0.09 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 ChiSquare statistic : 425.99 p-value of test : 0.04 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 ChiSquare statistic : 201.33 p-value of test : 0.46 ----------------------------------------------- CPU time used : 00:01:19.60 Generator state: N/A *********************************************************** HOST = tallinn, 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 : 371.08 p-value of test : 0.67 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 ChiSquare statistic : 394.92 p-value of test : 0.34 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 ChiSquare statistic : 4964.24 p-value of test : 0.64 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 ChiSquare statistic : 413.66 p-value of test : 0.10 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 ChiSquare statistic : 206.98 p-value of test : 0.35 ----------------------------------------------- CPU time used : 00:01:18.71 Generator state: N/A *********************************************************** HOST = tallinn, 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 : 19.31 p-value of test : 0.08 ----------------------------------------------- Normal statistic for number of jumps : 1.20 p-value of test : 0.12 ----------------------------------------------- CPU time used : 00:02:21.71 Generator state: N/A *********************************************************** HOST = tallinn, 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 : 17.58 p-value of test : 0.13 ----------------------------------------------- Normal statistic for number of jumps : -2.60 p-value of test : 0.9953 ----------------------------------------------- CPU time used : 00:02:24.69 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin scomp_LempelZiv test: ----------------------------------------------- N = 10, n = 134217728, r = 0, s = 30, k = 27 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.21 p-value of test : 0.36 Kolmogorov-Smirnov- statistic = D- : 0.24 p-value of test : 0.27 Anderson-Darling statistic = A2 : 0.84 p-value of test : 0.45 Tests on the sum of all N observations Standardized normal statistic : 0.30 p-value of test : 0.38 Sample variance : 0.31 p-value of test : 0.97 ----------------------------------------------- CPU time used : 00:01:32.85 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin scomp_LempelZiv test: ----------------------------------------------- N = 10, n = 134217728, r = 15, s = 15, k = 27 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.35 p-value of test : 0.06 Kolmogorov-Smirnov- statistic = D- : 0.029 p-value of test : 0.96 Anderson-Darling statistic = A2 : 1.72 p-value of test : 0.13 Tests on the sum of all N observations Standardized normal statistic : -1.61 p-value of test : 0.95 Sample variance : 1.07 p-value of test : 0.38 ----------------------------------------------- CPU time used : 00:01:33.81 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sspectral_Fourier3 test: ----------------------------------------------- N = 100000, n = 16384, r = 0, s = 3, k = 14 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 7.05e-3 p-value of test : 0.66 Kolmogorov-Smirnov- statistic = D- : 8.75e-3 p-value of test : 0.53 Anderson-Darling statistic = A2 : 0.25 p-value of test : 0.97 ----------------------------------------------- CPU time used : 00:00:52.29 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sspectral_Fourier3 test: ----------------------------------------------- N = 100000, n = 16384, r = 27, s = 3, k = 14 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.016 p-value of test : 0.12 Kolmogorov-Smirnov- statistic = D- : 3.39e-3 p-value of test : 0.91 Anderson-Darling statistic = A2 : 2.00 p-value of test : 0.09 ----------------------------------------------- CPU time used : 00:00:50.90 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_LongestHeadRun test: ----------------------------------------------- N = 1, n = 1000, r = 0, s = 3, L = 10000020 ----------------------------------------------- Number of degrees of freedom : 8 Chi-square statistic : 12.77 p-value of test : 0.12 ----------------------------------------------- Global longest run of 1 : 32.00 p-value of test : 0.50 ----------------------------------------------- CPU time used : 00:01:40.17 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_LongestHeadRun test: ----------------------------------------------- N = 1, n = 1000, r = 27, s = 3, L = 10000020 ----------------------------------------------- Number of degrees of freedom : 8 Chi-square statistic : 6.16 p-value of test : 0.63 ----------------------------------------------- Global longest run of 1 : 35.00 p-value of test : 0.14 ----------------------------------------------- CPU time used : 00:01:42.29 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_PeriodsInStrings test: ----------------------------------------------- N = 10, n = 500000000, r = 0, s = 10 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.22 p-value of test : 0.33 Kolmogorov-Smirnov- statistic = D- : 0.094 p-value of test : 0.79 Anderson-Darling statistic = A2 : 0.95 p-value of test : 0.38 Test on the sum of all N observations Number of degrees of freedom : 200 Chi-square statistic : 187.70 p-value of test : 0.72 ----------------------------------------------- CPU time used : 00:03:38.70 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_PeriodsInStrings test: ----------------------------------------------- N = 10, n = 500000000, r = 20, s = 10 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.069 p-value of test : 0.87 Kolmogorov-Smirnov- statistic = D- : 0.34 p-value of test : 0.08 Anderson-Darling statistic = A2 : 1.88 p-value of test : 0.11 Test on the sum of all N observations Number of degrees of freedom : 200 Chi-square statistic : 238.82 p-value of test : 0.03 ----------------------------------------------- CPU time used : 00:03:42.22 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_HammingWeight2 test: ----------------------------------------------- N = 10, n = 1000000000, r = 0, s = 3, L = 1000000 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.032 p-value of test : 0.96 Kolmogorov-Smirnov- statistic = D- : 0.37 p-value of test : 0.05 Anderson-Darling statistic = A2 : 2.30 p-value of test : 0.06 Test on the sum of all N observations Number of degrees of freedom : 10000 Chi-square statistic :10265.82 p-value of test : 0.03 ----------------------------------------------- CPU time used : 00:01:05.21 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_HammingWeight2 test: ----------------------------------------------- N = 10, n = 1000000000, r = 27, s = 3, L = 1000000 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.30 p-value of test : 0.14 Kolmogorov-Smirnov- statistic = D- : 0.055 p-value of test : 0.91 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 : 10000 Chi-square statistic : 9807.82 p-value of test : 0.91 ----------------------------------------------- CPU time used : 00:01:11.42 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 1000000000, r = 10, s = 10, L = 30 ----------------------------------------------- Normal statistic : -0.21 p-value of test : 0.58 ----------------------------------------------- CPU time used : 00:01:32.76 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 100000000, r = 10, s = 10, L = 300 ----------------------------------------------- Normal statistic : 3.76 p-value of test : 8.6e-5 ***** ----------------------------------------------- CPU time used : 00:01:23.52 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 100000000, r = 10, s = 10, L = 1200 ----------------------------------------------- Normal statistic : 0.63 p-value of test : 0.26 ----------------------------------------------- CPU time used : 00:05:36.04 Generator state: N/A *********************************************************** HOST = tallinn, 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+ : 0.23 p-value of test : 0.31 Kolmogorov-Smirnov- statistic = D- : 0.21 p-value of test : 0.37 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 : 4876.85 p-value of test : 0.55 ----------------------------------------------- CPU time used : 00:02:15.87 Generator state: N/A *********************************************************** HOST = tallinn, 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+ : 0.30 p-value of test : 0.14 Kolmogorov-Smirnov- statistic = D- : 0.070 p-value of test : 0.87 Anderson-Darling statistic = A2 : 1.44 p-value of test : 0.19 Test on the sum of all N observations Number of degrees of freedom : 4890 Chi-square statistic : 4758.95 p-value of test : 0.91 ----------------------------------------------- CPU time used : 00:02:15.04 Generator state: N/A *********************************************************** HOST = tallinn, 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 : 4248.51 p-value of test : 0.07 ----------------------------------------------- CPU time used : 00:01:37.55 Generator state: N/A *********************************************************** HOST = tallinn, 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 : 3993.33 p-value of test : 0.91 ----------------------------------------------- CPU time used : 00:01:35.88 Generator state: N/A *********************************************************** HOST = tallinn, 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 :11806.68 p-value of test : 0.55 ----------------------------------------------- CPU time used : 00:01:50.50 Generator state: N/A *********************************************************** HOST = tallinn, 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 :12000.62 p-value of test : 0.13 ----------------------------------------------- CPU time used : 00:01:49.79 Generator state: N/A *********************************************************** HOST = tallinn, 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 : 46.65 p-value of test : 0.75 ----------------------------------------------- Total number of bits: 8000108496 Normal statistic for number of bits : 0.86 p-value of test : 0.20 ----------------------------------------------- CPU time used : 00:01:25.98 Generator state: N/A *********************************************************** HOST = tallinn, 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 : 54.29 p-value of test : 0.46 ----------------------------------------------- Total number of bits: 8000041293 Normal statistic for number of bits : 0.33 p-value of test : 0.37 ----------------------------------------------- CPU time used : 00:01:25.15 Generator state: N/A *********************************************************** HOST = tallinn, 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 : 0.19 Kolmogorov-Smirnov- statistic = D- : 0.19 p-value of test : 0.43 Anderson-Darling statistic = A2 : 0.77 p-value of test : 0.50 Tests on the sum of all N observations Standardized normal statistic : -0.28 p-value of test : 0.61 Sample variance : 0.58 p-value of test : 0.82 ----------------------------------------------- CPU time used : 00:03:02.20 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_AutoCor test: ----------------------------------------------- N = 10, n = 1000000029, r = 0, s = 3, d = 3 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.093 p-value of test : 0.79 Kolmogorov-Smirnov- statistic = D- : 0.20 p-value of test : 0.40 Anderson-Darling statistic = A2 : 0.25 p-value of test : 0.97 Tests on the sum of all N observations Standardized normal statistic : 0.030 p-value of test : 0.49 Sample variance : 0.95 p-value of test : 0.48 ----------------------------------------------- CPU time used : 00:02:37.00 Generator state: N/A *********************************************************** HOST = tallinn, 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- : 0.052 p-value of test : 0.92 Anderson-Darling statistic = A2 : 1.34 p-value of test : 0.22 Tests on the sum of all N observations Standardized normal statistic : -1.45 p-value of test : 0.93 Sample variance : 1.03 p-value of test : 0.41 ----------------------------------------------- CPU time used : 00:02:55.02 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_AutoCor test: ----------------------------------------------- N = 10, n = 1000000029, r = 27, s = 3, d = 3 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.37 p-value of test : 0.05 Kolmogorov-Smirnov- statistic = D- : 0.19 p-value of test : 0.42 Anderson-Darling statistic = A2 : 1.47 p-value of test : 0.18 Tests on the sum of all N observations Standardized normal statistic : -0.72 p-value of test : 0.76 Sample variance : 0.40 p-value of test : 0.93 ----------------------------------------------- CPU time used : 00:02:38.72 Generator state: N/A ========= Summary results of BigCrush ========= Version: TestU01 1.2.3 Generator: stdin Number of statistics: 160 Total CPU time: 04:44:45.11 The following tests gave p-values outside [0.001, 0.9990]: (eps means a value < 1.0e-300): (eps1 means a value < 1.0e-15): Test p-value ---------------------------------------------- 93 HammingCorr, L = 300 8.6e-5 ---------------------------------------------- All other tests were passed # # End: 2019-10-11 12:51:50 # # Exit value: 0 # Bytes used: 1428433207296 >= 2^40 (1.4 TB) # # Test duration: 286.00691589935 minutes #