# # RandomSource: PCG_MCG_XSH_RS_32 # RNG: org.apache.commons.rng.core.source32.PcgMcgXshRs32 # Seed: 239a03e5e69df252 # # 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 # # Analyzer: /home/ah403/git/commons-rng/commons-rng-examples/examples-stress/stdin2testu01 BigCrush # # Start: 2019-10-10 06:29:16 # 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 : 0.74 ----------------------------------------------- CPU time used : 00:02:09.72 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 : 0.12 ----------------------------------------------- CPU time used : 00:02:17.73 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 : 00:03:43.19 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 : 1388 p-value of test : 0.26 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334508 j = 1 : 599997224 j = 2 : 1388 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:03:58.04 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 : 1347 p-value of test : 0.67 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334467 j = 1 : 599997306 j = 2 : 1347 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:04:47.74 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 : 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 : 00:04:56.00 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 : 1431 p-value of test : 0.04 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334551 j = 1 : 599997138 j = 2 : 1431 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:04:56.75 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 : 1328 p-value of test : 0.83 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334448 j = 1 : 599997344 j = 2 : 1328 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:05:00.04 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 : 1326 p-value of test : 0.85 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334446 j = 1 : 599997348 j = 2 : 1326 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:04:54.03 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 : 1344 p-value of test : 0.70 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334464 j = 1 : 599997312 j = 2 : 1344 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:05:00.40 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 : 1309 p-value of test : 0.93 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334429 j = 1 : 599997382 j = 2 : 1309 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:04:51.48 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 : 1353 p-value of test : 0.61 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334473 j = 1 : 599997294 j = 2 : 1353 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:05:00.15 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 : 5512 p-value of test : 0.11 ----------------------------------------------- CPU time used : 00:05:23.34 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 : 4314 p-value of test : 0.63 ----------------------------------------------- CPU time used : 00:02:21.50 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 : 7344 p-value of test : 0.38 ----------------------------------------------- CPU time used : 00:04:00.26 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 : 4326 p-value of test : 0.56 ----------------------------------------------- CPU time used : 00:02:59.11 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 : 4305 p-value of test : 0.68 ----------------------------------------------- CPU time used : 00:03:08.80 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 : 7331 p-value of test : 0.44 ----------------------------------------------- CPU time used : 00:05:02.13 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 : 7281 p-value of test : 0.67 ----------------------------------------------- CPU time used : 00:04:55.89 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 : 7070 p-value of test : 0.9982 ----------------------------------------------- CPU time used : 00:06:30.32 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 : 7251 p-value of test : 0.78 ----------------------------------------------- CPU time used : 00:07:32.65 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) : 1.99 p-value of test : 0.09 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) : 0.26 p-value of test : 0.97 Test on the Nm values of W_{n,i}(mNP1): 2.45 p-value of test : 0.05 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 900 Number of jumps of Y : 841 p-value of test : 0.98 Stat. AD (mNP2) : 0.57 p-value of test : 0.68 Stat. AD after spacings (mNP2-S) : 1.25 p-value of test : 0.25 ----------------------------------------------- CPU time used : 00:03:49.89 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) : 1.50 p-value of test : 0.18 A2 test based on the spacings between the successive jump times of process Y_n(t): A2 test on the values of A2 (m-NP) : 0.52 p-value of test : 0.73 Test on the Nm values of W_{n,i}(mNP1): 4.98 p-value of test : 2.9e-3 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 600 Number of jumps of Y : 664 p-value of test : 5.3e-3 Stat. AD (mNP2) : 1.24 p-value of test : 0.25 Stat. AD after spacings (mNP2-S) : 2.14 p-value of test : 0.08 ----------------------------------------------- CPU time used : 00:02:25.10 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) : 2.83 p-value of test : 0.03 A2 test based on the spacings between the successive jump times of process Y_n(t): A2 test on the values of A2 (m-NP) : 0.24 p-value of test : 0.97 Test on the Nm values of W_{n,i}(mNP1): 1.31 p-value of test : 0.23 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 300 Number of jumps of Y : 324 p-value of test : 0.09 Stat. AD (mNP2) : 1.40 p-value of test : 0.20 Stat. AD after spacings (mNP2-S) : 1.63 p-value of test : 0.15 ----------------------------------------------- CPU time used : 00:03:48.06 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) : 0.85 p-value of test : 0.44 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 : 0.87 Test on the Nm values of W_{n,i}(mNP1): 0.89 p-value of test : 0.42 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 150 Number of jumps of Y : 162 p-value of test : 0.17 Stat. AD (mNP2) : 0.65 p-value of test : 0.60 Stat. AD after spacings (mNP2-S) : 0.44 p-value of test : 0.81 ----------------------------------------------- CPU time used : 00:04:15.48 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 : 3.66 p-value of test : 0.82 ----------------------------------------------- CPU time used : 00:01:46.72 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 : 26.66 p-value of test : 3.8e-4 ***** ----------------------------------------------- CPU time used : 00:02:03.44 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 : 18.74 p-value of test : 0.41 ----------------------------------------------- CPU time used : 00:01:40.96 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 : 11.71 p-value of test : 0.86 ----------------------------------------------- CPU time used : 00:01:59.06 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 : 63.18 p-value of test : 0.18 ----------------------------------------------- CPU time used : 00:02:19.55 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 : 33.23 p-value of test : 0.99 ----------------------------------------------- CPU time used : 00:02:39.93 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 : 56.97 p-value of test : 0.37 ----------------------------------------------- CPU time used : 00:02:41.51 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 : 52.90 p-value of test : 0.52 ----------------------------------------------- CPU time used : 00:02:40.14 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 : 200.73 p-value of test : 0.93 ----------------------------------------------- CPU time used : 00:03:13.17 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 : 443.50 p-value of test : 0.37 ----------------------------------------------- CPU time used : 00:04:11.81 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 : 1401.40 p-value of test : 0.74 ----------------------------------------------- CPU time used : 00:04:47.70 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 : 7175.52 p-value of test : 0.14 ----------------------------------------------- CPU time used : 00:04:09.95 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sknuth_Run test: ----------------------------------------------- N = 5, n = 1000000000, r = 0, Up = FALSE ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.36 p-value of test : 0.22 Kolmogorov-Smirnov- statistic = D- : 0.37 p-value of test : 0.21 Anderson-Darling statistic = A2 : 1.53 p-value of test : 0.17 Test on the sum of all N observations Number of degrees of freedom : 30 Chi-square statistic : 34.17 p-value of test : 0.27 ----------------------------------------------- CPU time used : 00:02:27.43 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sknuth_Run test: ----------------------------------------------- N = 10, n = 1000000000, r = 15, Up = TRUE ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.12 p-value of test : 0.70 Kolmogorov-Smirnov- statistic = D- : 0.17 p-value of test : 0.50 Anderson-Darling statistic = A2 : 0.29 p-value of test : 0.95 Test on the sum of all N observations Number of degrees of freedom : 60 Chi-square statistic : 58.38 p-value of test : 0.54 ----------------------------------------------- CPU time used : 00:05:19.73 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 : 3.98 p-value of test : 0.55 ----------------------------------------------- CPU time used : 00:01:35.26 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 : 135.50 p-value of test : 0.14 ----------------------------------------------- CPU time used : 00:02:43.19 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 : 5030.00 p-value of test : 0.53 ----------------------------------------------- CPU time used : 00:02:02.97 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 : 0.71 ----------------------------------------------- CPU time used : 00:03:42.43 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 : 46105 p-value of test : 0.15 ----------------------------- Total number of cells containing j balls j = 0 : 1743165870105 j = 1 : 399907794 j = 2 : 46097 j = 3 : 4 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:05:03.17 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 : 45479 p-value of test : 0.97 ----------------------------- Total number of cells containing j balls j = 0 : 1743165869479 j = 1 : 399909047 j = 2 : 45469 j = 3 : 5 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:05:16.09 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+ : 0.047 p-value of test : 0.81 Kolmogorov-Smirnov- statistic = D- : 0.12 p-value of test : 0.27 Anderson-Darling statistic = A2 : 0.61 p-value of test : 0.64 Test on the sum of all N observations Number of degrees of freedom : 3999960 Chi-square statistic : 4.00e+6 p-value of test : 0.24 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.098 p-value of test : 0.44 Kolmogorov-Smirnov- statistic = D- : 0.046 p-value of test : 0.82 Anderson-Darling statistic = A2 : 0.46 p-value of test : 0.78 ----------------------------------------------- CPU time used : 00:04:15.80 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+ : 0.030 p-value of test : 0.93 Kolmogorov-Smirnov- statistic = D- : 0.14 p-value of test : 0.27 Anderson-Darling statistic = A2 : 1.19 p-value of test : 0.27 Test on the sum of all N observations Number of degrees of freedom : 2999970 Chi-square statistic : 3.00e+6 p-value of test : 0.09 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.078 p-value of test : 0.66 Kolmogorov-Smirnov- statistic = D- : 0.22 p-value of test : 0.05 Anderson-Darling statistic = A2 : 1.21 p-value of test : 0.26 ----------------------------------------------- CPU time used : 00:04:14.79 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+ : 0.18 p-value of test : 0.25 Kolmogorov-Smirnov- statistic = D- : 0.19 p-value of test : 0.22 Anderson-Darling statistic = A2 : 0.89 p-value of test : 0.42 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 p-value of test : 0.55 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.025 p-value of test : 0.96 Kolmogorov-Smirnov- statistic = D- : 0.22 p-value of test : 0.12 Anderson-Darling statistic = A2 : 1.40 p-value of test : 0.20 ----------------------------------------------- CPU time used : 00:03:31.67 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+ : 0.12 p-value of test : 0.54 Kolmogorov-Smirnov- statistic = D- : 0.11 p-value of test : 0.58 Anderson-Darling statistic = A2 : 0.33 p-value of test : 0.91 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 p-value of test : 0.43 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.17 p-value of test : 0.27 Kolmogorov-Smirnov- statistic = D- : 0.16 p-value of test : 0.35 Anderson-Darling statistic = A2 : 0.78 p-value of test : 0.49 ----------------------------------------------- CPU time used : 00:04:04.38 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleProd test: ----------------------------------------------- N = 40, n = 10000000, r = 0, t = 8 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.052 p-value of test : 0.78 Kolmogorov-Smirnov- statistic = D- : 0.094 p-value of test : 0.46 Anderson-Darling statistic = A2 : 0.54 p-value of test : 0.71 ----------------------------------------------- CPU time used : 00:03:48.42 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleProd test: ----------------------------------------------- N = 20, n = 10000000, r = 0, t = 16 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.11 p-value of test : 0.59 Kolmogorov-Smirnov- statistic = D- : 0.11 p-value of test : 0.59 Anderson-Darling statistic = A2 : 0.37 p-value of test : 0.88 ----------------------------------------------- CPU time used : 00:02:48.37 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleProd test: ----------------------------------------------- N = 20, n = 10000000, r = 0, t = 24 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.18 p-value of test : 0.25 Kolmogorov-Smirnov- statistic = D- : 0.11 p-value of test : 0.56 Anderson-Darling statistic = A2 : 0.73 p-value of test : 0.53 ----------------------------------------------- CPU time used : 00:03:46.94 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleMean test: ----------------------------------------------- N = 20000000, n = 30, r = 0 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 2.00e-4 p-value of test : 0.20 Kolmogorov-Smirnov- statistic = D- : 1.58e-4 p-value of test : 0.37 Anderson-Darling statistic = A2 : 1.28 p-value of test : 0.24 ----------------------------------------------- CPU time used : 00:00:49.06 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleMean test: ----------------------------------------------- N = 20000000, n = 30, r = 10 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 7.08e-5 p-value of test : 0.82 Kolmogorov-Smirnov- statistic = D- : 1.26e-4 p-value of test : 0.53 Anderson-Darling statistic = A2 : 0.33 p-value of test : 0.91 ----------------------------------------------- CPU time used : 00:00:49.50 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleCorr test: ----------------------------------------------- N = 1, n = 2000000000, r = 0, k = 1 ----------------------------------------------- Normal statistic : 0.86 p-value of test : 0.19 ----------------------------------------------- CPU time used : 00:00:50.34 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleCorr test: ----------------------------------------------- N = 1, n = 2000000000, r = 0, k = 2 ----------------------------------------------- Normal statistic : 1.76 p-value of test : 0.04 ----------------------------------------------- CPU time used : 00:00:49.94 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 : -0.52 p-value of test : 0.70 ----------------------------------------------- CPU time used : 00:02:33.25 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 : 1.57 p-value of test : 0.06 ----------------------------------------------- CPU time used : 00:02:27.79 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 : 58.94 p-value of test : 0.75 ----------------------------------------------- CPU time used : 00:01:52.84 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 : 59.38 p-value of test : 0.73 ----------------------------------------------- CPU time used : 00:02:00.44 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 : 72.02 p-value of test : 0.32 ----------------------------------------------- CPU time used : 00:02:08.84 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 : 26.09 p-value of test : 0.91 ----------------------------------------------- CPU time used : 00:01:53.90 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 : 49.65 p-value of test : 0.08 ----------------------------------------------- CPU time used : 00:02:12.55 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 : 47.11 p-value of test : 0.12 ----------------------------------------------- CPU time used : 00:02:10.96 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 : 29.61 p-value of test : 0.43 ----------------------------------------------- CPU time used : 00:04:00.75 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+ : 0.23 p-value of test : 0.29 Kolmogorov-Smirnov- statistic = D- : 0.12 p-value of test : 0.71 Anderson-Darling statistic = A2 : 0.62 p-value of test : 0.63 Test on the sum of all N observations Number of degrees of freedom : 40 Chi-square statistic : 31.42 p-value of test : 0.83 ----------------------------------------------- CPU time used : 00:01:44.93 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+ : 0.33 p-value of test : 0.09 Kolmogorov-Smirnov- statistic = D- : 0.065 p-value of test : 0.88 Anderson-Darling statistic = A2 : 1.01 p-value of test : 0.35 Test on the sum of all N observations Number of degrees of freedom : 40 Chi-square statistic : 30.10 p-value of test : 0.87 ----------------------------------------------- CPU time used : 00:01:44.62 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 : 3.69 p-value of test : 0.30 ----------------------------------------------- CPU time used : 00:02:42.82 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 : 8.20 p-value of test : 0.04 ----------------------------------------------- CPU time used : 00:02:36.63 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 : 0.51 p-value of test : 0.77 ----------------------------------------------- CPU time used : 00:02:20.88 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 : 2.81 p-value of test : 0.25 ----------------------------------------------- CPU time used : 00:02:36.70 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+ : 0.23 p-value of test : 0.32 Kolmogorov-Smirnov- statistic = D- : 0.054 p-value of test : 0.91 Anderson-Darling statistic = A2 : 0.93 p-value of test : 0.39 Test on the sum of all N observations Number of degrees of freedom : 130 Chi-square statistic : 109.13 p-value of test : 0.91 ----------------------------------------------- CPU time used : 00:01:17.85 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+ : 0.20 p-value of test : 0.38 Kolmogorov-Smirnov- statistic = D- : 0.10 p-value of test : 0.75 Anderson-Darling statistic = A2 : 0.28 p-value of test : 0.95 Test on the sum of all N observations Number of degrees of freedom : 17430 Chi-square statistic :17401.41 p-value of test : 0.56 ----------------------------------------------- CPU time used : 00:02:02.44 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 : 37.66 p-value of test : 0.39 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 ChiSquare statistic : 25.76 p-value of test : 0.87 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 ChiSquare statistic : 18.60 p-value of test : 0.82 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 ChiSquare statistic : 13.29 p-value of test : 0.96 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 ChiSquare statistic : 12.23 p-value of test : 0.79 ----------------------------------------------- CPU time used : 00:01:12.90 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 : 47.37 p-value of test : 0.10 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 ChiSquare statistic : 54.91 p-value of test : 0.02 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 ChiSquare statistic : 18.13 p-value of test : 0.84 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 ChiSquare statistic : 21.76 p-value of test : 0.59 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 ChiSquare statistic : 25.06 p-value of test : 0.09 ----------------------------------------------- CPU time used : 00:01:12.17 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 : 140.38 p-value of test : 0.62 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 ChiSquare statistic : 169.36 p-value of test : 0.09 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 ChiSquare statistic : 477.31 p-value of test : 0.76 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 ChiSquare statistic : 156.59 p-value of test : 0.11 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 ChiSquare statistic : 84.17 p-value of test : 0.20 ----------------------------------------------- CPU time used : 00:01:24.93 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 : 146.35 p-value of test : 0.48 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 ChiSquare statistic : 117.55 p-value of test : 0.96 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 ChiSquare statistic : 525.78 p-value of test : 0.21 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 ChiSquare statistic : 145.31 p-value of test : 0.28 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 ChiSquare statistic : 76.68 p-value of test : 0.39 ----------------------------------------------- CPU time used : 00:01:25.67 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 : 348.84 p-value of test : 0.90 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 ChiSquare statistic : 361.09 p-value of test : 0.79 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 ChiSquare statistic : 5057.89 p-value of test : 0.28 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 ChiSquare statistic : 375.24 p-value of test : 0.53 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 ChiSquare statistic : 174.88 p-value of test : 0.90 ----------------------------------------------- CPU time used : 00:01:30.07 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 : 345.20 p-value of test : 0.92 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 ChiSquare statistic : 398.23 p-value of test : 0.30 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 ChiSquare statistic : 5059.17 p-value of test : 0.28 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 ChiSquare statistic : 404.16 p-value of test : 0.17 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 ChiSquare statistic : 162.18 p-value of test : 0.98 ----------------------------------------------- CPU time used : 00:01:26.94 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 : 16.51 p-value of test : 0.17 ----------------------------------------------- Normal statistic for number of jumps : 1.96 p-value of test : 0.02 ----------------------------------------------- CPU time used : 00:02:42.85 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 : 10.58 p-value of test : 0.57 ----------------------------------------------- Normal statistic for number of jumps : -0.44 p-value of test : 0.67 ----------------------------------------------- CPU time used : 00:02:49.54 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+ : 0.13 p-value of test : 0.64 Kolmogorov-Smirnov- statistic = D- : 0.24 p-value of test : 0.27 Anderson-Darling statistic = A2 : 0.62 p-value of test : 0.62 Tests on the sum of all N observations Standardized normal statistic : 0.55 p-value of test : 0.29 Sample variance : 0.48 p-value of test : 0.89 ----------------------------------------------- CPU time used : 00:01:25.84 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+ : 0.13 p-value of test : 0.66 Kolmogorov-Smirnov- statistic = D- : 0.30 p-value of test : 0.14 Anderson-Darling statistic = A2 : 1.35 p-value of test : 0.22 Tests on the sum of all N observations Standardized normal statistic : 1.03 p-value of test : 0.15 Sample variance : 0.30 p-value of test : 0.98 ----------------------------------------------- CPU time used : 00:01:24.29 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+ : 0.011 p-value of test : 0.36 Kolmogorov-Smirnov- statistic = D- : 0.013 p-value of test : 0.24 Anderson-Darling statistic = A2 : 0.94 p-value of test : 0.39 ----------------------------------------------- CPU time used : 00:00:59.17 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+ : 2.53e-3 p-value of test : 0.95 Kolmogorov-Smirnov- statistic = D- : 0.017 p-value of test : 0.09 Anderson-Darling statistic = A2 : 1.65 p-value of test : 0.14 ----------------------------------------------- CPU time used : 00:00:57.25 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 : 7.53 p-value of test : 0.48 ----------------------------------------------- Global longest run of 1 : 32.00 p-value of test : 0.50 ----------------------------------------------- CPU time used : 00:02:03.09 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 : 11.86 p-value of test : 0.16 ----------------------------------------------- Global longest run of 1 : 38.00 p-value of test : 0.02 ----------------------------------------------- CPU time used : 00:02:02.60 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_PeriodsInStrings test: ----------------------------------------------- N = 10, n = 500000000, r = 0, s = 10 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.12 p-value of test : 0.71 Kolmogorov-Smirnov- statistic = D- : 0.23 p-value of test : 0.31 Anderson-Darling statistic = A2 : 0.77 p-value of test : 0.50 Test on the sum of all N observations Number of degrees of freedom : 200 Chi-square statistic : 209.26 p-value of test : 0.31 ----------------------------------------------- CPU time used : 00:04:02.68 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_PeriodsInStrings test: ----------------------------------------------- N = 10, n = 500000000, r = 20, s = 10 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 8.47e-3 p-value of test : 0.9909 Kolmogorov-Smirnov- statistic = D- : 0.34 p-value of test : 0.08 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 : 200 Chi-square statistic : 231.99 p-value of test : 0.06 ----------------------------------------------- CPU time used : 00:04:11.46 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+ : 0.29 p-value of test : 0.15 Kolmogorov-Smirnov- statistic = D- : 0.14 p-value of test : 0.60 Anderson-Darling statistic = A2 : 1.22 p-value of test : 0.26 Test on the sum of all N observations Number of degrees of freedom : 10000 Chi-square statistic : 9853.92 p-value of test : 0.85 ----------------------------------------------- CPU time used : 00:01:23.65 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+ : 0.011 p-value of test : 0.99 Kolmogorov-Smirnov- statistic = D- : 0.44 p-value of test : 0.01 Anderson-Darling statistic = A2 : 2.49 p-value of test : 0.05 Test on the sum of all N observations Number of degrees of freedom : 10000 Chi-square statistic :10302.02 p-value of test : 0.02 ----------------------------------------------- CPU time used : 00:01:27.39 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 1000000000, r = 10, s = 10, L = 30 ----------------------------------------------- Normal statistic : 0.11 p-value of test : 0.46 ----------------------------------------------- CPU time used : 00:01:45.50 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 100000000, r = 10, s = 10, L = 300 ----------------------------------------------- Normal statistic : -0.86 p-value of test : 0.80 ----------------------------------------------- CPU time used : 00:01:35.25 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 100000000, r = 10, s = 10, L = 1200 ----------------------------------------------- Normal statistic : -0.65 p-value of test : 0.74 ----------------------------------------------- CPU time used : 00:05:56.25 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+ : 0.13 p-value of test : 0.68 Kolmogorov-Smirnov- statistic = D- : 0.11 p-value of test : 0.74 Anderson-Darling statistic = A2 : 0.25 p-value of test : 0.97 Test on the sum of all N observations Number of degrees of freedom : 4890 Chi-square statistic : 4865.69 p-value of test : 0.59 ----------------------------------------------- CPU time used : 00:02:34.22 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+ : 0.37 p-value of test : 0.05 Kolmogorov-Smirnov- statistic = D- : 0.088 p-value of test : 0.81 Anderson-Darling statistic = A2 : 1.95 p-value of test : 0.10 Test on the sum of all N observations Number of degrees of freedom : 4890 Chi-square statistic : 4738.23 p-value of test : 0.94 ----------------------------------------------- CPU time used : 00:02:34.58 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 : 4170.75 p-value of test : 0.28 ----------------------------------------------- CPU time used : 00:01:55.91 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 : 4125.66 p-value of test : 0.46 ----------------------------------------------- CPU time used : 00:01:58.52 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 :12082.77 p-value of test : 0.05 ----------------------------------------------- CPU time used : 00:02:09.36 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 :11523.42 p-value of test : 0.98 ----------------------------------------------- CPU time used : 00:02:03.00 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 : 66.56 p-value of test : 0.12 ----------------------------------------------- Total number of bits: 7999927293 Normal statistic for number of bits : -0.57 p-value of test : 0.72 ----------------------------------------------- CPU time used : 00:01:37.90 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_Run test: ----------------------------------------------- N = 1, n = 2000000000, r = 27, s = 3 ----------------------------------------------- Total number of 1 runs: 2000000001 Number of degrees of freedom : 54 Chi2 statistic for number of runs : 42.74 p-value of test : 0.87 ----------------------------------------------- Total number of bits: 8000048313 Normal statistic for number of bits : 0.38 p-value of test : 0.35 ----------------------------------------------- CPU time used : 00:01:38.00 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+ : 0.20 p-value of test : 0.40 Kolmogorov-Smirnov- statistic = D- : 0.065 p-value of test : 0.88 Anderson-Darling statistic = A2 : 0.36 p-value of test : 0.88 Tests on the sum of all N observations Standardized normal statistic : -0.63 p-value of test : 0.74 Sample variance : 0.91 p-value of test : 0.52 ----------------------------------------------- CPU time used : 00:03:16.45 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+ : 0.22 p-value of test : 0.33 Kolmogorov-Smirnov- statistic = D- : 0.074 p-value of test : 0.86 Anderson-Darling statistic = A2 : 0.39 p-value of test : 0.85 Tests on the sum of all N observations Standardized normal statistic : -0.55 p-value of test : 0.71 Sample variance : 1.27 p-value of test : 0.25 ----------------------------------------------- CPU time used : 00:02:57.40 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+ : 0.19 p-value of test : 0.44 Kolmogorov-Smirnov- statistic = D- : 0.12 p-value of test : 0.70 Anderson-Darling statistic = A2 : 0.27 p-value of test : 0.96 Tests on the sum of all N observations Standardized normal statistic : -0.14 p-value of test : 0.56 Sample variance : 0.67 p-value of test : 0.74 ----------------------------------------------- CPU time used : 00:03:17.56 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+ : 0.075 p-value of test : 0.86 Kolmogorov-Smirnov- statistic = D- : 0.16 p-value of test : 0.54 Anderson-Darling statistic = A2 : 0.33 p-value of test : 0.92 Tests on the sum of all N observations Standardized normal statistic : 0.55 p-value of test : 0.29 Sample variance : 0.75 p-value of test : 0.67 ----------------------------------------------- CPU time used : 00:03:00.22 Generator state: N/A ========= Summary results of BigCrush ========= Version: TestU01 1.2.3 Generator: stdin Number of statistics: 160 Total CPU time: 05:10:33.43 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 ---------------------------------------------- 27 SimpPoker, r = 27 3.8e-4 ---------------------------------------------- All other tests were passed # # End: 2019-10-10 11:44:53 # # Exit value: 0 # Bytes used: 1428442841088 >= 2^40 (1.4 TB) # # Test duration: 315.61875521918336 minutes #