# # RandomSource: XOR_SHIFT_1024_S # RNG: org.apache.commons.rng.core.source64.XorShift1024Star # Seed: 2ba8beb8341bbb50b02f33f68fe17b862b8cf27bf1e37c4dfead22eee40f07edd40ea6e76838fb4e6bafb3a950ec2eab31afdf120d3b8741b5db77eaa1e409e694cd10897496672670eef407a247dcf8abf503a6a031c46c345a3f524f10a2fd45c8ac50d318bc80618d305fea0b31101d671deee2314df76844d952b52a3fb9 # # 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: 2019-10-08 13:48:22 # 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 : 0.87 ----------------------------------------------- CPU time used : 00:02:07.64 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 : 0.75 ----------------------------------------------- CPU time used : 00:02:10.94 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 : 1376 p-value of test : 0.38 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334496 j = 1 : 599997248 j = 2 : 1376 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:03:44.93 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 : 1350 p-value of test : 0.64 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334470 j = 1 : 599997300 j = 2 : 1350 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:03:55.87 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 : 1365 p-value of test : 0.50 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334485 j = 1 : 599997270 j = 2 : 1365 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:04:40.21 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 : 1321 p-value of test : 0.88 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334441 j = 1 : 599997358 j = 2 : 1321 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:04:49.06 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 : 1379 p-value of test : 0.35 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334499 j = 1 : 599997242 j = 2 : 1379 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:04:52.89 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 : 1379 p-value of test : 0.35 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334499 j = 1 : 599997242 j = 2 : 1379 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:05:10.53 Generator state: N/A *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = tallinn, Linux stdin smultin_MultinomialOver test: ----------------------------------------------- N = 30, n = 20000000, r = 0, d = 8, t = 14, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 4398046511104 Expected number per cell = 1 / 219902.33 EColl = n^2 / (2k) = 45.47473509 Hashing = TRUE Collision test CollisionOver: density = n / k = 1 / 219902.33 Expected number of collisions = Mu = 45.47 ----------------------------------------------- Results of CollisionOver test: POISSON approximation : Expected number of collisions = N*Mu : 1364.24 Observed number of collisions : 1379 p-value of test : 0.35 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334499 j = 1 : 599997242 j = 2 : 1379 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:05:02.57 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 : 1314 p-value of test : 0.91 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334434 j = 1 : 599997372 j = 2 : 1314 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:05:09.57 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 : 1337 p-value of test : 0.76 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334457 j = 1 : 599997326 j = 2 : 1337 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:05:09.96 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 : 1327 p-value of test : 0.84 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334447 j = 1 : 599997346 j = 2 : 1327 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:05:14.98 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 : 5555 p-value of test : 0.04 ----------------------------------------------- CPU time used : 00:05:09.34 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 : 4241 p-value of test : 0.93 ----------------------------------------------- CPU time used : 00:02:18.51 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 : 7357 p-value of test : 0.33 ----------------------------------------------- CPU time used : 00:03:46.69 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 : 4320 p-value of test : 0.60 ----------------------------------------------- CPU time used : 00:02:46.71 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 : 4294 p-value of test : 0.74 ----------------------------------------------- CPU time used : 00:02:52.32 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 : 7355 p-value of test : 0.34 ----------------------------------------------- CPU time used : 00:04:40.17 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 : 7464 p-value of test : 0.05 ----------------------------------------------- CPU time used : 00:04:37.96 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 : 7364 p-value of test : 0.30 ----------------------------------------------- CPU time used : 00:05:45.64 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 : 7344 p-value of test : 0.38 ----------------------------------------------- CPU time used : 00:06:09.72 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) : 2.51 p-value of test : 0.05 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) : 1.25 p-value of test : 0.25 Test on the Nm values of W_{n,i}(mNP1): 1.72 p-value of test : 0.13 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 900 Number of jumps of Y : 864 p-value of test : 0.88 Stat. AD (mNP2) : 0.52 p-value of test : 0.73 Stat. AD after spacings (mNP2-S) : 0.81 p-value of test : 0.47 ----------------------------------------------- CPU time used : 00:03:40.75 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) : 0.21 p-value of test : 0.99 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) : 0.54 p-value of test : 0.70 Test on the Nm values of W_{n,i}(mNP1): 0.68 p-value of test : 0.58 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 600 Number of jumps of Y : 588 p-value of test : 0.68 Stat. AD (mNP2) : 2.05 p-value of test : 0.09 Stat. AD after spacings (mNP2-S) : 0.63 p-value of test : 0.62 ----------------------------------------------- CPU time used : 00:02:09.44 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) : 2.11 p-value of test : 0.08 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 : 0.72 Test on the Nm values of W_{n,i}(mNP1): 0.75 p-value of test : 0.52 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 300 Number of jumps of Y : 301 p-value of test : 0.48 Stat. AD (mNP2) : 3.73 p-value of test : 0.01 Stat. AD after spacings (mNP2-S) : 2.42 p-value of test : 0.05 ----------------------------------------------- CPU time used : 00:03:44.64 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) : 1.13 p-value of test : 0.29 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) : 1.91 p-value of test : 0.11 Test on the Nm values of W_{n,i}(mNP1): 0.84 p-value of test : 0.45 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 150 Number of jumps of Y : 165 p-value of test : 0.12 Stat. AD (mNP2) : 1.28 p-value of test : 0.24 Stat. AD after spacings (mNP2-S) : 0.75 p-value of test : 0.52 ----------------------------------------------- CPU time used : 00:04:16.27 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 : 16.23 p-value of test : 0.02 ----------------------------------------------- CPU time used : 00:01:37.22 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 : 8.36 p-value of test : 0.30 ----------------------------------------------- CPU time used : 00:01:53.32 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 : 17.48 p-value of test : 0.49 ----------------------------------------------- CPU time used : 00:01:34.98 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 : 12.24 p-value of test : 0.83 ----------------------------------------------- CPU time used : 00:01:48.72 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 : 66.83 p-value of test : 0.11 ----------------------------------------------- CPU time used : 00:02:05.39 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 : 49.40 p-value of test : 0.65 ----------------------------------------------- CPU time used : 00:02:22.40 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 : 57.60 p-value of test : 0.34 ----------------------------------------------- CPU time used : 00:02:23.85 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 : 48.11 p-value of test : 0.70 ----------------------------------------------- CPU time used : 00:02:23.36 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 : 238.32 p-value of test : 0.37 ----------------------------------------------- CPU time used : 00:02:18.98 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 : 420.18 p-value of test : 0.67 ----------------------------------------------- CPU time used : 00:03:12.82 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 : 1436.03 p-value of test : 0.50 ----------------------------------------------- CPU time used : 00:03:39.55 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 : 7152.06 p-value of test : 0.19 ----------------------------------------------- CPU time used : 00:03:45.15 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sknuth_Run test: ----------------------------------------------- N = 5, n = 1000000000, r = 0, Up = FALSE ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.33 p-value of test : 0.29 Kolmogorov-Smirnov- statistic = D- : 0.19 p-value of test : 0.63 Anderson-Darling statistic = A2 : 0.44 p-value of test : 0.80 Test on the sum of all N observations Number of degrees of freedom : 30 Chi-square statistic : 27.12 p-value of test : 0.62 ----------------------------------------------- CPU time used : 00:02:08.46 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- : 0.41 p-value of test : 0.03 Anderson-Darling statistic = A2 : 1.67 p-value of test : 0.14 Test on the sum of all N observations Number of degrees of freedom : 60 Chi-square statistic : 66.63 p-value of test : 0.26 ----------------------------------------------- CPU time used : 00:04:57.10 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 : 2.14 p-value of test : 0.83 ----------------------------------------------- CPU time used : 00:01:28.59 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 : 136.21 p-value of test : 0.13 ----------------------------------------------- CPU time used : 00:02:24.70 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 : 4878.66 p-value of test : 0.95 ----------------------------------------------- CPU time used : 00:01:45.88 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 : 3.62e+6 p-value of test : 0.9949 ----------------------------------------------- CPU time used : 00:03:26.03 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 : 45922 p-value of test : 0.42 ----------------------------- Total number of cells containing j balls j = 0 : 1743165869922 j = 1 : 399908160 j = 2 : 45914 j = 3 : 4 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:04:39.67 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 : 45937 p-value of test : 0.39 ----------------------------- Total number of cells containing j balls j = 0 : 1743165869937 j = 1 : 399908129 j = 2 : 45931 j = 3 : 3 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:04:54.36 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+ : 0.12 p-value of test : 0.27 Kolmogorov-Smirnov- statistic = D- : 0.050 p-value of test : 0.79 Anderson-Darling statistic = A2 : 0.51 p-value of test : 0.74 Test on the sum of all N observations Number of degrees of freedom : 3999960 Chi-square statistic : 4.00e+6 p-value of test : 0.68 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.045 p-value of test : 0.82 Kolmogorov-Smirnov- statistic = D- : 0.13 p-value of test : 0.24 Anderson-Darling statistic = A2 : 0.66 p-value of test : 0.59 ----------------------------------------------- CPU time used : 00:04:05.13 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+ : 0.069 p-value of test : 0.72 Kolmogorov-Smirnov- statistic = D- : 0.12 p-value of test : 0.39 Anderson-Darling statistic = A2 : 0.59 p-value of test : 0.65 Test on the sum of all N observations Number of degrees of freedom : 2999970 Chi-square statistic : 3.00e+6 p-value of test : 0.23 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.17 p-value of test : 0.17 Kolmogorov-Smirnov- statistic = D- : 0.066 p-value of test : 0.74 Anderson-Darling statistic = A2 : 0.82 p-value of test : 0.46 ----------------------------------------------- CPU time used : 00:03:51.80 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+ : 0.23 p-value of test : 0.11 Kolmogorov-Smirnov- statistic = D- : 0.15 p-value of test : 0.39 Anderson-Darling statistic = A2 : 1.73 p-value of test : 0.13 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 p-value of test : 0.74 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.088 p-value of test : 0.70 Kolmogorov-Smirnov- statistic = D- : 0.20 p-value of test : 0.17 Anderson-Darling statistic = A2 : 1.43 p-value of test : 0.20 ----------------------------------------------- CPU time used : 00:03:03.85 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 : 0.06 Kolmogorov-Smirnov- statistic = D- : 0.081 p-value of test : 0.73 Anderson-Darling statistic = A2 : 2.09 p-value of test : 0.08 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+ : 0.14 p-value of test : 0.42 Kolmogorov-Smirnov- statistic = D- : 0.073 p-value of test : 0.77 Anderson-Darling statistic = A2 : 0.27 p-value of test : 0.96 ----------------------------------------------- CPU time used : 00:03:29.00 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleProd test: ----------------------------------------------- N = 40, n = 10000000, r = 0, t = 8 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.12 p-value of test : 0.29 Kolmogorov-Smirnov- statistic = D- : 0.14 p-value of test : 0.18 Anderson-Darling statistic = A2 : 0.80 p-value of test : 0.48 ----------------------------------------------- CPU time used : 00:03:19.78 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleProd test: ----------------------------------------------- N = 20, n = 10000000, r = 0, t = 16 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.23 p-value of test : 0.11 Kolmogorov-Smirnov- statistic = D- : 0.21 p-value of test : 0.14 Anderson-Darling statistic = A2 : 2.21 p-value of test : 0.07 ----------------------------------------------- CPU time used : 00:02:22.69 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleProd test: ----------------------------------------------- N = 20, n = 10000000, r = 0, t = 24 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.10 p-value of test : 0.61 Kolmogorov-Smirnov- statistic = D- : 0.16 p-value of test : 0.33 Anderson-Darling statistic = A2 : 0.67 p-value of test : 0.58 ----------------------------------------------- CPU time used : 00:03:04.21 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleMean test: ----------------------------------------------- N = 20000000, n = 30, r = 0 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 1.37e-4 p-value of test : 0.47 Kolmogorov-Smirnov- statistic = D- : 1.42e-4 p-value of test : 0.45 Anderson-Darling statistic = A2 : 0.72 p-value of test : 0.54 ----------------------------------------------- CPU time used : 00:00:43.39 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleMean test: ----------------------------------------------- N = 20000000, n = 30, r = 10 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 1.81e-4 p-value of test : 0.27 Kolmogorov-Smirnov- statistic = D- : 8.82e-5 p-value of test : 0.73 Anderson-Darling statistic = A2 : 0.70 p-value of test : 0.56 ----------------------------------------------- CPU time used : 00:00:43.62 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleCorr test: ----------------------------------------------- N = 1, n = 2000000000, r = 0, k = 1 ----------------------------------------------- Normal statistic : 1.35 p-value of test : 0.09 ----------------------------------------------- CPU time used : 00:00:39.01 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleCorr test: ----------------------------------------------- N = 1, n = 2000000000, r = 0, k = 2 ----------------------------------------------- Normal statistic : -1.45 p-value of test : 0.93 ----------------------------------------------- CPU time used : 00:00:39.62 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 : 0.061 p-value of test : 0.48 ----------------------------------------------- CPU time used : 00:02:16.84 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 : 0.57 p-value of test : 0.28 ----------------------------------------------- CPU time used : 00:02:18.00 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 : 92.65 p-value of test : 0.02 ----------------------------------------------- CPU time used : 00:01:28.79 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 : 63.43 p-value of test : 0.60 ----------------------------------------------- CPU time used : 00:01:51.77 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 : 61.87 p-value of test : 0.65 ----------------------------------------------- CPU time used : 00:01:47.82 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 : 45.17 p-value of test : 0.17 ----------------------------------------------- CPU time used : 00:01:35.00 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 : 38.60 p-value of test : 0.40 ----------------------------------------------- CPU time used : 00:01:53.03 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 : 36.69 p-value of test : 0.48 ----------------------------------------------- CPU time used : 00:01:50.35 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 : 36.74 p-value of test : 0.15 ----------------------------------------------- CPU time used : 00:03:14.02 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+ : 0.43 p-value of test : 0.02 Kolmogorov-Smirnov- statistic = D- : 0.064 p-value of test : 0.89 Anderson-Darling statistic = A2 : 4.37 p-value of test : 6.1e-3 Test on the sum of all N observations Number of degrees of freedom : 40 Chi-square statistic : 28.63 p-value of test : 0.91 ----------------------------------------------- CPU time used : 00:01:36.98 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+ : 0.19 p-value of test : 0.43 Kolmogorov-Smirnov- statistic = D- : 0.22 p-value of test : 0.34 Anderson-Darling statistic = A2 : 0.67 p-value of test : 0.58 Test on the sum of all N observations Number of degrees of freedom : 40 Chi-square statistic : 39.07 p-value of test : 0.51 ----------------------------------------------- CPU time used : 00:01:35.98 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 : 7.19 p-value of test : 0.07 ----------------------------------------------- CPU time used : 00:02:35.28 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 : 3.45 p-value of test : 0.33 ----------------------------------------------- CPU time used : 00:02:33.44 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 : 3.85 p-value of test : 0.15 ----------------------------------------------- CPU time used : 00:02:07.90 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 : 5.80 p-value of test : 0.06 ----------------------------------------------- CPU time used : 00:01:52.32 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+ : 0.079 p-value of test : 0.84 Kolmogorov-Smirnov- statistic = D- : 0.12 p-value of test : 0.68 Anderson-Darling statistic = A2 : 0.19 p-value of test : 0.9920 Test on the sum of all N observations Number of degrees of freedom : 130 Chi-square statistic : 133.48 p-value of test : 0.40 ----------------------------------------------- CPU time used : 00:01:05.86 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+ : 0.028 p-value of test : 0.96 Kolmogorov-Smirnov- statistic = D- : 0.16 p-value of test : 0.54 Anderson-Darling statistic = A2 : 0.50 p-value of test : 0.75 Test on the sum of all N observations Number of degrees of freedom : 17430 Chi-square statistic :17601.10 p-value of test : 0.18 ----------------------------------------------- CPU time used : 00:02:00.20 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 : 40.13 p-value of test : 0.29 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 ChiSquare statistic : 28.01 p-value of test : 0.79 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 ChiSquare statistic : 25.03 p-value of test : 0.46 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 ChiSquare statistic : 26.64 p-value of test : 0.32 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 ChiSquare statistic : 21.21 p-value of test : 0.22 ----------------------------------------------- CPU time used : 00:01:06.86 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 : 32.92 p-value of test : 0.62 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 ChiSquare statistic : 39.74 p-value of test : 0.27 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 ChiSquare statistic : 30.57 p-value of test : 0.20 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 ChiSquare statistic : 20.61 p-value of test : 0.66 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 ChiSquare statistic : 16.74 p-value of test : 0.47 ----------------------------------------------- CPU time used : 00:01:08.28 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 : 112.95 p-value of test : 0.98 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 ChiSquare statistic : 165.28 p-value of test : 0.13 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 ChiSquare statistic : 512.27 p-value of test : 0.34 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 ChiSquare statistic : 117.88 p-value of test : 0.87 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 ChiSquare statistic : 55.19 p-value of test : 0.95 ----------------------------------------------- CPU time used : 00:01:20.26 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 : 126.56 p-value of test : 0.88 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 ChiSquare statistic : 129.63 p-value of test : 0.83 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 ChiSquare statistic : 526.48 p-value of test : 0.20 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 ChiSquare statistic : 137.08 p-value of test : 0.46 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 ChiSquare statistic : 67.52 p-value of test : 0.69 ----------------------------------------------- CPU time used : 00:01:20.09 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 : 337.19 p-value of test : 0.96 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 ChiSquare statistic : 389.94 p-value of test : 0.41 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 ChiSquare statistic : 4886.37 p-value of test : 0.87 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 ChiSquare statistic : 366.56 p-value of test : 0.65 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 ChiSquare statistic : 193.88 p-value of test : 0.61 ----------------------------------------------- CPU time used : 00:01:23.17 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 : 390.88 p-value of test : 0.39 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 ChiSquare statistic : 411.73 p-value of test : 0.16 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 ChiSquare statistic : 4972.24 p-value of test : 0.61 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 ChiSquare statistic : 374.01 p-value of test : 0.55 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 ChiSquare statistic : 216.45 p-value of test : 0.20 ----------------------------------------------- CPU time used : 00:01:21.85 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 : 15.01 p-value of test : 0.24 ----------------------------------------------- Normal statistic for number of jumps : 0.66 p-value of test : 0.25 ----------------------------------------------- CPU time used : 00:02:38.56 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 : 5.76 p-value of test : 0.93 ----------------------------------------------- Normal statistic for number of jumps : 2.98e-3 p-value of test : 0.50 ----------------------------------------------- CPU time used : 00:02:47.23 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+ : 0.30 p-value of test : 0.13 Kolmogorov-Smirnov- statistic = D- : 0.17 p-value of test : 0.50 Anderson-Darling statistic = A2 : 0.87 p-value of test : 0.43 Tests on the sum of all N observations Standardized normal statistic : -0.16 p-value of test : 0.56 Sample variance : 0.40 p-value of test : 0.94 ----------------------------------------------- CPU time used : 00:01:26.26 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+ : 0.18 p-value of test : 0.47 Kolmogorov-Smirnov- statistic = D- : 0.12 p-value of test : 0.69 Anderson-Darling statistic = A2 : 0.32 p-value of test : 0.92 Tests on the sum of all N observations Standardized normal statistic : -0.17 p-value of test : 0.57 Sample variance : 1.21 p-value of test : 0.29 ----------------------------------------------- CPU time used : 00:01:20.68 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 : 0.37 Kolmogorov-Smirnov- statistic = D- : 7.63e-3 p-value of test : 0.62 Anderson-Darling statistic = A2 : 0.38 p-value of test : 0.87 ----------------------------------------------- CPU time used : 00:00:52.70 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+ : 9.01e-3 p-value of test : 0.51 Kolmogorov-Smirnov- statistic = D- : 7.74e-3 p-value of test : 0.61 Anderson-Darling statistic = A2 : 0.52 p-value of test : 0.72 ----------------------------------------------- CPU time used : 00:00:52.13 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 : 12.90 p-value of test : 0.12 ----------------------------------------------- Global longest run of 1 : 33.00 p-value of test : 0.44 ----------------------------------------------- CPU time used : 00:01:44.88 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 : 4.45 p-value of test : 0.81 ----------------------------------------------- Global longest run of 1 : 32.00 p-value of test : 0.50 ----------------------------------------------- CPU time used : 00:01:44.62 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_PeriodsInStrings test: ----------------------------------------------- N = 10, n = 500000000, r = 0, s = 10 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.18 p-value of test : 0.45 Kolmogorov-Smirnov- statistic = D- : 0.13 p-value of test : 0.65 Anderson-Darling statistic = A2 : 0.63 p-value of test : 0.62 Test on the sum of all N observations Number of degrees of freedom : 200 Chi-square statistic : 190.72 p-value of test : 0.67 ----------------------------------------------- CPU time used : 00:03:38.71 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_PeriodsInStrings test: ----------------------------------------------- N = 10, n = 500000000, r = 20, s = 10 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.076 p-value of test : 0.85 Kolmogorov-Smirnov- statistic = D- : 0.27 p-value of test : 0.19 Anderson-Darling statistic = A2 : 1.38 p-value of test : 0.21 Test on the sum of all N observations Number of degrees of freedom : 200 Chi-square statistic : 228.27 p-value of test : 0.08 ----------------------------------------------- CPU time used : 00:03:45.60 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+ : 0.33 p-value of test : 0.09 Kolmogorov-Smirnov- statistic = D- : 0.051 p-value of test : 0.92 Anderson-Darling statistic = A2 : 1.17 p-value of test : 0.28 Test on the sum of all N observations Number of degrees of freedom : 10000 Chi-square statistic : 9828.00 p-value of test : 0.89 ----------------------------------------------- CPU time used : 00:01:08.52 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+ : 0.15 p-value of test : 0.57 Kolmogorov-Smirnov- statistic = D- : 0.39 p-value of test : 0.04 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 : 10000 Chi-square statistic :10172.74 p-value of test : 0.11 ----------------------------------------------- CPU time used : 00:01:14.71 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 1000000000, r = 10, s = 10, L = 30 ----------------------------------------------- Normal statistic : 0.78 p-value of test : 0.22 ----------------------------------------------- CPU time used : 00:01:31.75 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 100000000, r = 10, s = 10, L = 300 ----------------------------------------------- Normal statistic : -0.63 p-value of test : 0.74 ----------------------------------------------- CPU time used : 00:01:23.01 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 100000000, r = 10, s = 10, L = 1200 ----------------------------------------------- Normal statistic : -1.02 p-value of test : 0.85 ----------------------------------------------- CPU time used : 00:05:30.77 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+ : 0.070 p-value of test : 0.87 Kolmogorov-Smirnov- statistic = D- : 0.23 p-value of test : 0.30 Anderson-Darling statistic = A2 : 0.67 p-value of test : 0.58 Test on the sum of all N observations Number of degrees of freedom : 4890 Chi-square statistic : 4969.20 p-value of test : 0.21 ----------------------------------------------- CPU time used : 00:02:26.30 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+ : 0.19 p-value of test : 0.42 Kolmogorov-Smirnov- statistic = D- : 0.18 p-value of test : 0.46 Anderson-Darling statistic = A2 : 0.48 p-value of test : 0.77 Test on the sum of all N observations Number of degrees of freedom : 4890 Chi-square statistic : 4859.90 p-value of test : 0.62 ----------------------------------------------- CPU time used : 00:02:27.07 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 : 4098.56 p-value of test : 0.58 ----------------------------------------------- CPU time used : 00:01:50.18 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 : 3968.78 p-value of test : 0.95 ----------------------------------------------- CPU time used : 00:01:48.80 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 :11922.39 p-value of test : 0.26 ----------------------------------------------- CPU time used : 00:01:57.80 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 :11978.40 p-value of test : 0.16 ----------------------------------------------- CPU time used : 00:01:57.37 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 : 49.97 p-value of test : 0.63 ----------------------------------------------- Total number of bits: 8000000820 Normal statistic for number of bits : 6.48e-3 p-value of test : 0.50 ----------------------------------------------- CPU time used : 00:01:32.95 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 : 47.07 p-value of test : 0.74 ----------------------------------------------- Total number of bits: 7999978992 Normal statistic for number of bits : -0.17 p-value of test : 0.57 ----------------------------------------------- CPU time used : 00:01:33.54 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+ : 0.093 p-value of test : 0.79 Kolmogorov-Smirnov- statistic = D- : 0.36 p-value of test : 0.05 Anderson-Darling statistic = A2 : 1.25 p-value of test : 0.25 Tests on the sum of all N observations Standardized normal statistic : 1.05 p-value of test : 0.15 Sample variance : 0.41 p-value of test : 0.93 ----------------------------------------------- CPU time used : 00:03:11.31 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+ : 0.28 p-value of test : 0.17 Kolmogorov-Smirnov- statistic = D- : 0.11 p-value of test : 0.72 Anderson-Darling statistic = A2 : 0.78 p-value of test : 0.49 Tests on the sum of all N observations Standardized normal statistic : -0.69 p-value of test : 0.75 Sample variance : 0.97 p-value of test : 0.46 ----------------------------------------------- CPU time used : 00:02:47.63 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+ : 0.099 p-value of test : 0.77 Kolmogorov-Smirnov- statistic = D- : 0.28 p-value of test : 0.17 Anderson-Darling statistic = A2 : 0.72 p-value of test : 0.54 Tests on the sum of all N observations Standardized normal statistic : 0.26 p-value of test : 0.40 Sample variance : 0.88 p-value of test : 0.54 ----------------------------------------------- CPU time used : 00:03:07.22 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+ : 0.18 p-value of test : 0.47 Kolmogorov-Smirnov- statistic = D- : 0.12 p-value of test : 0.70 Anderson-Darling statistic = A2 : 0.42 p-value of test : 0.83 Tests on the sum of all N observations Standardized normal statistic : -0.55 p-value of test : 0.71 Sample variance : 0.97 p-value of test : 0.46 ----------------------------------------------- CPU time used : 00:02:51.49 Generator state: N/A ========= Summary results of BigCrush ========= Version: TestU01 1.2.3 Generator: stdin Number of statistics: 160 Total CPU time: 04:45:37.27 All tests were passed # # End: 2019-10-08 18:34:46 # # Exit value: 0 # Bytes used: 1428408262656 >= 2^40 (1.4 TB) # # Test duration: 286.4037989151 minutes #