xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx Starting BigCrush Version: TestU01 1.2.3 xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx *********************************************************** Test smarsa_SerialOver calling smultin_MultinomialOver *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom 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 : 0.70 ----------------------------------------------- CPU time used : 00:00:51.21 Generator state: 32000000000 bits have been read. *********************************************************** Test smarsa_SerialOver calling smultin_MultinomialOver *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom 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 : 0.77 ----------------------------------------------- CPU time used : 00:00:54.01 Generator state: 64000000000 bits have been read. *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom 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 : 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 : 00:02:45.89 Generator state: 83200000000 bits have been read. *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom smultin_MultinomialOver test: ----------------------------------------------- N = 30, n = 20000000, r = 9, d = 2097152, t = 2, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 4398046511104 Expected number per cell = 1 / 219902.33 EColl = n^2 / (2k) = 45.47473509 Hashing = TRUE Collision test CollisionOver: density = n / k = 1 / 219902.33 Expected number of collisions = Mu = 45.47 ----------------------------------------------- Results of CollisionOver test: POISSON approximation : Expected number of collisions = N*Mu : 1364.24 Observed number of collisions : 1384 p-value of test : 0.30 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334504 j = 1 : 599997232 j = 2 : 1384 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:02:43.89 Generator state: 102400000000 bits have been read. *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom 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 : 1375 p-value of test : 0.39 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334495 j = 1 : 599997250 j = 2 : 1375 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:03:47.89 Generator state: 121600000000 bits have been read. *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom 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 : 1400 p-value of test : 0.17 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334520 j = 1 : 599997200 j = 2 : 1400 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:03:47.42 Generator state: 140800000000 bits have been read. *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom 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 : 1386 p-value of test : 0.28 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334506 j = 1 : 599997228 j = 2 : 1386 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:03:52.68 Generator state: 160000000000 bits have been read. *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom 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 : 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 : 00:03:52.58 Generator state: 179200000000 bits have been read. *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom 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 : 1339 p-value of test : 0.75 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334459 j = 1 : 599997322 j = 2 : 1339 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:03:53.84 Generator state: 198400000000 bits have been read. *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom 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 : 1360 p-value of test : 0.54 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334480 j = 1 : 599997280 j = 2 : 1360 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:03:53.02 Generator state: 217600000000 bits have been read. *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom 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 : 1299 p-value of test : 0.96 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334419 j = 1 : 599997402 j = 2 : 1299 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:03:52.05 Generator state: 236800000000 bits have been read. *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom 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 : 1411 p-value of test : 0.11 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334531 j = 1 : 599997178 j = 2 : 1411 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:03:55.88 Generator state: 256000000000 bits have been read. *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom 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 : 5540 p-value of test : 0.05 ----------------------------------------------- CPU time used : 00:03:09.96 Generator state: 320000000000 bits have been read. *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom 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 : 4391 p-value of test : 0.21 ----------------------------------------------- CPU time used : 00:01:22.73 Generator state: 358400000000 bits have been read. *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom 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 : 7242 p-value of test : 0.81 ----------------------------------------------- CPU time used : 00:02:20.53 Generator state: 435200000000 bits have been read. *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom 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 : 4238 p-value of test : 0.93 ----------------------------------------------- CPU time used : 00:01:47.80 Generator state: 524800000000 bits have been read. *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom 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 : 4349 p-value of test : 0.43 ----------------------------------------------- CPU time used : 00:01:44.80 Generator state: 614400000000 bits have been read. *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom 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 : 7479 p-value of test : 0.03 ----------------------------------------------- CPU time used : 00:02:52.55 Generator state: 768000000000 bits have been read. *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom 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 : 7214 p-value of test : 0.89 ----------------------------------------------- CPU time used : 00:02:40.01 Generator state: 921600000000 bits have been read. *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom 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 : 7351 p-value of test : 0.35 ----------------------------------------------- CPU time used : 00:03:57.13 Generator state: 1228800000000 bits have been read. *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom 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 : 7239 p-value of test : 0.82 ----------------------------------------------- CPU time used : 00:03:59.63 Generator state: 1536000000000 bits have been read. *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom snpair_ClosePairs test: ----------------------------------------------- N = 30, n = 6000000, r = 0, t = 3, p = 0, m = 30, Torus = TRUE --------------------------------------- Test based on the 2 nearest points (NP): Stat. AD on the N values (NP) : 0.46 p-value of test : 0.79 A2 test based on the spacings between the successive jump times of process Y_n(t): A2 test on the values of A2 (m-NP) : 0.81 p-value of test : 0.47 Test on the Nm values of W_{n,i}(mNP1): 0.32 p-value of test : 0.92 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 900 Number of jumps of Y : 909 p-value of test : 0.39 Stat. AD (mNP2) : 0.66 p-value of test : 0.60 Stat. AD after spacings (mNP2-S) : 1.29 p-value of test : 0.24 ----------------------------------------------- CPU time used : 00:01:32.82 Generator state: 1553280000000 bits have been read. *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom 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) : 0.96 p-value of test : 0.38 A2 test based on the spacings between the successive jump times of process Y_n(t): A2 test on the values of A2 (m-NP) : 0.92 p-value of test : 0.40 Test on the Nm values of W_{n,i}(mNP1): 0.50 p-value of test : 0.75 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 600 Number of jumps of Y : 605 p-value of test : 0.42 Stat. AD (mNP2) : 0.29 p-value of test : 0.94 Stat. AD after spacings (mNP2-S) : 0.79 p-value of test : 0.49 ----------------------------------------------- CPU time used : 00:01:07.82 Generator state: 1566080000000 bits have been read. *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom snpair_ClosePairs test: ----------------------------------------------- N = 10, n = 3000000, r = 0, t = 9, p = 0, m = 30, Torus = TRUE --------------------------------------- Test based on the 2 nearest points (NP): Stat. AD on the N values (NP) : 0.62 p-value of test : 0.63 A2 test based on the spacings between the successive jump times of process Y_n(t): A2 test on the values of A2 (m-NP) : 0.61 p-value of test : 0.63 Test on the Nm values of W_{n,i}(mNP1): 1.19 p-value of test : 0.27 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 300 Number of jumps of Y : 285 p-value of test : 0.80 Stat. AD (mNP2) : 0.25 p-value of test : 0.97 Stat. AD after spacings (mNP2-S) : 0.68 p-value of test : 0.58 ----------------------------------------------- CPU time used : 00:01:48.46 Generator state: 1574720000000 bits have been read. *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom 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) : 0.57 p-value of test : 0.66 A2 test based on the spacings between the successive jump times of process Y_n(t): A2 test on the values of A2 (m-NP) : 1.40 p-value of test : 0.20 Test on the Nm values of W_{n,i}(mNP1): 0.37 p-value of test : 0.87 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 150 Number of jumps of Y : 157 p-value of test : 0.29 Stat. AD (mNP2) : 1.13 p-value of test : 0.30 Stat. AD after spacings (mNP2-S) : 0.31 p-value of test : 0.93 ----------------------------------------------- CPU time used : 00:02:05.81 Generator state: 1579840000000 bits have been read. *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom sknuth_SimpPoker test: ----------------------------------------------- N = 1, n = 400000000, r = 0, d = 8, k = 8 ----------------------------------------------- Number of degrees of freedom : 7 Chi-square statistic : 3.07 p-value of test : 0.88 ----------------------------------------------- CPU time used : 00:00:59.81 Generator state: 1682240000000 bits have been read. *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom sknuth_SimpPoker test: ----------------------------------------------- N = 1, n = 400000000, r = 27, d = 8, k = 8 ----------------------------------------------- Number of degrees of freedom : 7 Chi-square statistic : 6.39 p-value of test : 0.50 ----------------------------------------------- CPU time used : 00:01:03.34 Generator state: 1784640000000 bits have been read. *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom sknuth_SimpPoker test: ----------------------------------------------- N = 1, n = 100000000, r = 0, d = 32, k = 32 ----------------------------------------------- Number of degrees of freedom : 18 Chi-square statistic : 28.33 p-value of test : 0.06 ----------------------------------------------- CPU time used : 00:00:55.76 Generator state: 1887040000000 bits have been read. *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom sknuth_SimpPoker test: ----------------------------------------------- N = 1, n = 100000000, r = 25, d = 32, k = 32 ----------------------------------------------- Number of degrees of freedom : 18 Chi-square statistic : 17.27 p-value of test : 0.50 ----------------------------------------------- CPU time used : 00:00:59.93 Generator state: 1989440000000 bits have been read. *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom sknuth_CouponCollector test: ----------------------------------------------- N = 1, n = 200000000, r = 0, d = 8 ----------------------------------------------- Number of degrees of freedom : 54 Chi-square statistic : 56.03 p-value of test : 0.40 ----------------------------------------------- CPU time used : 00:01:14.48 Generator state: 2128472747360 bits have been read. *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom sknuth_CouponCollector test: ----------------------------------------------- N = 1, n = 200000000, r = 10, d = 8 ----------------------------------------------- Number of degrees of freedom : 54 Chi-square statistic : 49.33 p-value of test : 0.65 ----------------------------------------------- CPU time used : 00:01:16.71 Generator state: 2267507237024 bits have been read. *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom sknuth_CouponCollector test: ----------------------------------------------- N = 1, n = 200000000, r = 20, d = 8 ----------------------------------------------- Number of degrees of freedom : 54 Chi-square statistic : 45.35 p-value of test : 0.79 ----------------------------------------------- CPU time used : 00:01:27.60 Generator state: 2406537698528 bits have been read. *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom sknuth_CouponCollector test: ----------------------------------------------- N = 1, n = 200000000, r = 27, d = 8 ----------------------------------------------- Number of degrees of freedom : 54 Chi-square statistic : 41.17 p-value of test : 0.90 ----------------------------------------------- CPU time used : 00:01:29.97 Generator state: 2545577313088 bits have been read. *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom sknuth_Gap test: ----------------------------------------------- N = 1, n = 500000000, r = 0, Alpha = 0, Beta = 0.0625 ----------------------------------------------- Number of degrees of freedom : 232 Chi-square statistic : 217.91 p-value of test : 0.74 ----------------------------------------------- CPU time used : 00:01:53.14 Generator state: 2801586118144 bits have been read. *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom sknuth_Gap test: ----------------------------------------------- N = 1, n = 300000000, r = 25, Alpha = 0, Beta = 0.03125 ----------------------------------------------- Number of degrees of freedom : 434 Chi-square statistic : 504.87 p-value of test : 0.01 ----------------------------------------------- CPU time used : 00:02:27.57 Generator state: 3108778467968 bits have been read. *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom sknuth_Gap test: ----------------------------------------------- N = 1, n = 100000000, r = 0, Alpha = 0, Beta = 0.0078125 ----------------------------------------------- Number of degrees of freedom : 1437 Chi-square statistic : 1402.67 p-value of test : 0.74 ----------------------------------------------- CPU time used : 00:02:42.85 Generator state: 3518369978976 bits have been read. *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom sknuth_Gap test: ----------------------------------------------- N = 1, n = 10000000, r = 20, Alpha = 0, Beta = 0.000976562 ----------------------------------------------- Number of degrees of freedom : 7046 Chi-square statistic : 7178.07 p-value of test : 0.13 ----------------------------------------------- CPU time used : 00:02:14.25 Generator state: 3845954527616 bits have been read. *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom sknuth_Run test: ----------------------------------------------- N = 5, n = 1000000000, r = 0, Up = FALSE ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.080 p-value of test : 0.89 Kolmogorov-Smirnov- statistic = D- : 0.52 p-value of test : 0.04 Anderson-Darling statistic = A2 : 1.28 p-value of test : 0.24 Test on the sum of all N observations Number of degrees of freedom : 30 Chi-square statistic : 36.90 p-value of test : 0.18 ----------------------------------------------- CPU time used : 00:01:15.19 Generator state: 4005954527616 bits have been read. *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom sknuth_Run test: ----------------------------------------------- N = 10, n = 1000000000, r = 15, Up = TRUE ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.13 p-value of test : 0.67 Kolmogorov-Smirnov- statistic = D- : 0.21 p-value of test : 0.37 Anderson-Darling statistic = A2 : 0.39 p-value of test : 0.86 Test on the sum of all N observations Number of degrees of freedom : 60 Chi-square statistic : 61.91 p-value of test : 0.41 ----------------------------------------------- CPU time used : 00:03:07.14 Generator state: 4325954527616 bits have been read. *********************************************************** Test sknuth_Permutation calling smultin_Multinomial *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom 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 : 4.68 p-value of test : 0.46 ----------------------------------------------- CPU time used : 00:00:57.81 Generator state: 4421954527616 bits have been read. *********************************************************** Test sknuth_Permutation calling smultin_Multinomial *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom 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 : 105.43 p-value of test : 0.81 ----------------------------------------------- CPU time used : 00:01:40.81 Generator state: 4581954527616 bits have been read. *********************************************************** Test sknuth_Permutation calling smultin_Multinomial *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom 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 : 5031.80 p-value of test : 0.53 ----------------------------------------------- CPU time used : 00:01:20.22 Generator state: 4693954527616 bits have been read. *********************************************************** Test sknuth_Permutation calling smultin_Multinomial *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom smultin_Multinomial test: ----------------------------------------------- N = 1, n = 500000000, r = 10, t = 10, Sparse = FALSE GenerCell = smultin_GenerCellPermut Number of cells = t! = 3628800 Expected number per cell = 137.7866 Hashing = FALSE For Delta > -1, we use the ChiSquare approximation Correction factor of the ChiSquare: Delta = 1, Mu = 0.0036287993, Sigma = 1 ----------------------------------------------- Test Results for Delta = 1.0000 Number of degrees of freedom : 3628799 Value of the statistic : 3.63e+6 p-value of test : 0.66 ----------------------------------------------- CPU time used : 00:02:30.36 Generator state: 4853954527616 bits have been read. *********************************************************** Test sknuth_CollisionPermut calling smultin_Multinomial *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom 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 : 45689 p-value of test : 0.81 ----------------------------- Total number of cells containing j balls j = 0 : 1743165869689 j = 1 : 399908622 j = 2 : 45689 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:03:41.59 Generator state: 5033154527616 bits have been read. *********************************************************** Test sknuth_CollisionPermut calling smultin_Multinomial *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom 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 : 46032 p-value of test : 0.24 ----------------------------- Total number of cells containing j balls j = 0 : 1743165870032 j = 1 : 399907938 j = 2 : 46028 j = 3 : 2 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:03:58.48 Generator state: 5212354527616 bits have been read. *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom 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+ : 0.063 p-value of test : 0.70 Kolmogorov-Smirnov- statistic = D- : 0.15 p-value of test : 0.14 Anderson-Darling statistic = A2 : 0.68 p-value of test : 0.58 Test on the sum of all N observations Number of degrees of freedom : 3999960 Chi-square statistic : 4.00e+6 p-value of test : 0.37 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.059 p-value of test : 0.73 Kolmogorov-Smirnov- statistic = D- : 0.090 p-value of test : 0.49 Anderson-Darling statistic = A2 : 0.29 p-value of test : 0.95 ----------------------------------------------- CPU time used : 00:01:43.55 Generator state: 5314754527616 bits have been read. *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom 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+ : 0.024 p-value of test : 0.95 Kolmogorov-Smirnov- statistic = D- : 0.20 p-value of test : 0.08 Anderson-Darling statistic = A2 : 2.17 p-value of test : 0.07 Test on the sum of all N observations Number of degrees of freedom : 2999970 Chi-square statistic : 3.01e+6 p-value of test : 0.01 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.19 p-value of test : 0.10 Kolmogorov-Smirnov- statistic = D- : 0.035 p-value of test : 0.91 Anderson-Darling statistic = A2 : 0.95 p-value of test : 0.38 ----------------------------------------------- CPU time used : 00:01:48.72 Generator state: 5468354527616 bits have been read. *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom 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+ : 0.041 p-value of test : 0.91 Kolmogorov-Smirnov- statistic = D- : 0.18 p-value of test : 0.23 Anderson-Darling statistic = A2 : 0.80 p-value of test : 0.48 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 p-value of test : 0.12 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.030 p-value of test : 0.95 Kolmogorov-Smirnov- statistic = D- : 0.24 p-value of test : 0.08 Anderson-Darling statistic = A2 : 2.75 p-value of test : 0.04 ----------------------------------------------- CPU time used : 00:01:28.02 Generator state: 5621954527616 bits have been read. *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom 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+ : 0.075 p-value of test : 0.76 Kolmogorov-Smirnov- statistic = D- : 0.19 p-value of test : 0.21 Anderson-Darling statistic = A2 : 0.98 p-value of test : 0.37 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 p-value of test : 0.15 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.027 p-value of test : 0.95 Kolmogorov-Smirnov- statistic = D- : 0.23 p-value of test : 0.10 Anderson-Darling statistic = A2 : 1.96 p-value of test : 0.10 ----------------------------------------------- CPU time used : 00:01:50.80 Generator state: 5826754527616 bits have been read. *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom svaria_SampleProd test: ----------------------------------------------- N = 40, n = 10000000, r = 0, t = 8 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.077 p-value of test : 0.59 Kolmogorov-Smirnov- statistic = D- : 0.13 p-value of test : 0.23 Anderson-Darling statistic = A2 : 0.95 p-value of test : 0.39 ----------------------------------------------- CPU time used : 00:01:15.57 Generator state: 5929154527616 bits have been read. *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom svaria_SampleProd test: ----------------------------------------------- N = 20, n = 10000000, r = 0, t = 16 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.039 p-value of test : 0.92 Kolmogorov-Smirnov- statistic = D- : 0.14 p-value of test : 0.41 Anderson-Darling statistic = A2 : 0.46 p-value of test : 0.79 ----------------------------------------------- CPU time used : 00:00:54.10 Generator state: 6031554527616 bits have been read. *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom svaria_SampleProd test: ----------------------------------------------- N = 20, n = 10000000, r = 0, t = 24 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.030 p-value of test : 0.95 Kolmogorov-Smirnov- statistic = D- : 0.31 p-value of test : 0.02 Anderson-Darling statistic = A2 : 1.82 p-value of test : 0.12 ----------------------------------------------- CPU time used : 00:01:32.81 Generator state: 6185154527616 bits have been read. *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom svaria_SampleMean test: ----------------------------------------------- N = 20000000, n = 30, r = 0 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 5.38e-5 p-value of test : 0.89 Kolmogorov-Smirnov- statistic = D- : 1.97e-4 p-value of test : 0.21 Anderson-Darling statistic = A2 : 0.86 p-value of test : 0.44 ----------------------------------------------- CPU time used : 00:00:13.75 Generator state: 6204354527616 bits have been read. *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom svaria_SampleMean test: ----------------------------------------------- N = 20000000, n = 30, r = 10 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 6.42e-6 p-value of test : 0.9983 Kolmogorov-Smirnov- statistic = D- : 2.26e-4 p-value of test : 0.13 Anderson-Darling statistic = A2 : 1.69 p-value of test : 0.14 ----------------------------------------------- CPU time used : 00:00:12.57 Generator state: 6223554527616 bits have been read. *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom svaria_SampleCorr test: ----------------------------------------------- N = 1, n = 2000000000, r = 0, k = 1 ----------------------------------------------- Normal statistic : 0.46 p-value of test : 0.32 ----------------------------------------------- CPU time used : 00:00:27.26 Generator state: 6287554527616 bits have been read. *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom svaria_SampleCorr test: ----------------------------------------------- N = 1, n = 2000000000, r = 0, k = 2 ----------------------------------------------- Normal statistic : -0.76 p-value of test : 0.78 ----------------------------------------------- CPU time used : 00:00:28.75 Generator state: 6351554527616 bits have been read. *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom 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 : 0.12 p-value of test : 0.45 ----------------------------------------------- CPU time used : 00:01:09.14 Generator state: 6513154527616 bits have been read. *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom 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 : 0.50 p-value of test : 0.31 ----------------------------------------------- CPU time used : 00:01:23.47 Generator state: 6674754527616 bits have been read. *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom 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 : 61.38 p-value of test : 0.67 ----------------------------------------------- CPU time used : 00:00:58.39 Generator state: 6838594527616 bits have been read. *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom 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 : 74.79 p-value of test : 0.24 ----------------------------------------------- CPU time used : 00:01:18.76 Generator state: 7002434527616 bits have been read. *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom 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 : 70.54 p-value of test : 0.36 ----------------------------------------------- CPU time used : 00:01:09.09 Generator state: 7166274527616 bits have been read. *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom 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 : 43.82 p-value of test : 0.20 ----------------------------------------------- CPU time used : 00:01:00.30 Generator state: 7330114527616 bits have been read. *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom 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 : 51.19 p-value of test : 0.06 ----------------------------------------------- CPU time used : 00:01:18.48 Generator state: 7493954527616 bits have been read. *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom 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 : 37.39 p-value of test : 0.45 ----------------------------------------------- CPU time used : 00:01:06.57 Generator state: 7657794527616 bits have been read. *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom svaria_SumCollector test: ----------------------------------------------- N = 1, n = 500000000, r = 0, g = 10 ----------------------------------------------- Number of degrees of freedom : 29 Chi-square statistic : 44.42 p-value of test : 0.03 ----------------------------------------------- CPU time used : 00:02:02.35 Generator state: 7988462349984 bits have been read. *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom smarsa_MatrixRank test: ----------------------------------------------- N = 10, n = 1000000, r = 0, s = 5, L = 30, k = 30 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.15 p-value of test : 0.58 Kolmogorov-Smirnov- statistic = D- : 0.27 p-value of test : 0.19 Anderson-Darling statistic = A2 : 0.78 p-value of test : 0.49 Test on the sum of all N observations Number of degrees of freedom : 40 Chi-square statistic : 41.70 p-value of test : 0.40 ----------------------------------------------- CPU time used : 00:01:15.23 Generator state: 8046062349984 bits have been read. *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom smarsa_MatrixRank test: ----------------------------------------------- N = 10, n = 1000000, r = 25, s = 5, L = 30, k = 30 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.41 p-value of test : 0.02 Kolmogorov-Smirnov- statistic = D- : 0.054 p-value of test : 0.91 Anderson-Darling statistic = A2 : 2.66 p-value of test : 0.04 Test on the sum of all N observations Number of degrees of freedom : 40 Chi-square statistic : 24.46 p-value of test : 0.97 ----------------------------------------------- CPU time used : 00:01:22.93 Generator state: 8103662349984 bits have been read. *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 5000, r = 0, s = 4, L = 1000, k = 1000 ----------------------------------------------- Number of degrees of freedom : 3 Chi-square statistic : 2.23 p-value of test : 0.53 ----------------------------------------------- CPU time used : 00:01:43.76 Generator state: 8143662349984 bits have been read. *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 5000, r = 26, s = 4, L = 1000, k = 1000 ----------------------------------------------- Number of degrees of freedom : 3 Chi-square statistic : 1.17 p-value of test : 0.76 ----------------------------------------------- CPU time used : 00:01:35.96 Generator state: 8183662349984 bits have been read. *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 80, r = 15, s = 15, L = 5000, k = 5000 ----------------------------------------------- Number of degrees of freedom : 2 Chi-square statistic : 0.19 p-value of test : 0.91 ----------------------------------------------- CPU time used : 00:01:11.57 Generator state: 8187937549984 bits have been read. *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 80, r = 0, s = 30, L = 5000, k = 5000 ----------------------------------------------- Number of degrees of freedom : 2 Chi-square statistic : 7.26 p-value of test : 0.03 ----------------------------------------------- CPU time used : 00:01:00.61 Generator state: 8190075149984 bits have been read. *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom smarsa_Savir2 test: ----------------------------------------------- N = 10, n = 10000000, r = 10, m = 1048576, t = 30 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.41 p-value of test : 0.03 Kolmogorov-Smirnov- statistic = D- : 0.16 p-value of test : 0.55 Anderson-Darling statistic = A2 : 1.48 p-value of test : 0.18 Test on the sum of all N observations Number of degrees of freedom : 130 Chi-square statistic : 111.99 p-value of test : 0.87 ----------------------------------------------- CPU time used : 00:00:37.90 Generator state: 8286075149984 bits have been read. *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom smarsa_GCD test: ----------------------------------------------- N = 10, n = 50000000, r = 0, s = 30 ----------------------------------------------- Test results for GCD values: Kolmogorov-Smirnov+ statistic = D+ : 0.16 p-value of test : 0.56 Kolmogorov-Smirnov- statistic = D- : 0.20 p-value of test : 0.40 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 : 17430 Chi-square statistic :17424.07 p-value of test : 0.51 ----------------------------------------------- CPU time used : 00:01:32.73 Generator state: 8318075150048 bits have been read. *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom 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 : 35.36 p-value of test : 0.50 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 ChiSquare statistic : 37.20 p-value of test : 0.37 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 ChiSquare statistic : 22.30 p-value of test : 0.62 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 ChiSquare statistic : 34.36 p-value of test : 0.08 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 ChiSquare statistic : 16.40 p-value of test : 0.50 ----------------------------------------------- CPU time used : 00:00:37.87 Generator state: 8350075150048 bits have been read. *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom 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 : 35.75 p-value of test : 0.48 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 ChiSquare statistic : 27.96 p-value of test : 0.80 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 ChiSquare statistic : 20.12 p-value of test : 0.74 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 ChiSquare statistic : 29.13 p-value of test : 0.22 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 ChiSquare statistic : 18.27 p-value of test : 0.37 ----------------------------------------------- CPU time used : 00:00:36.48 Generator state: 8382075150048 bits have been read. *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom 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 : 183.33 p-value of test : 0.02 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 ChiSquare statistic : 163.58 p-value of test : 0.15 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 ChiSquare statistic : 436.93 p-value of test : 0.98 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 ChiSquare statistic : 162.84 p-value of test : 0.06 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 ChiSquare statistic : 65.80 p-value of test : 0.74 ----------------------------------------------- CPU time used : 00:00:41.35 Generator state: 8414075150048 bits have been read. *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom 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 : 145.60 p-value of test : 0.49 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 ChiSquare statistic : 169.08 p-value of test : 0.09 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 ChiSquare statistic : 485.97 p-value of test : 0.67 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 ChiSquare statistic : 116.53 p-value of test : 0.89 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 ChiSquare statistic : 84.43 p-value of test : 0.19 ----------------------------------------------- CPU time used : 00:00:41.02 Generator state: 8446075150048 bits have been read. *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom 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 : 375.24 p-value of test : 0.62 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 ChiSquare statistic : 372.80 p-value of test : 0.65 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 ChiSquare statistic : 4872.26 p-value of test : 0.90 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 ChiSquare statistic : 335.21 p-value of test : 0.94 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 ChiSquare statistic : 204.26 p-value of test : 0.40 ----------------------------------------------- CPU time used : 00:00:35.97 Generator state: 8467419150048 bits have been read. *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom 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 : 354.02 p-value of test : 0.86 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 ChiSquare statistic : 395.72 p-value of test : 0.33 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 ChiSquare statistic : 4990.03 p-value of test : 0.54 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 ChiSquare statistic : 386.73 p-value of test : 0.37 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 ChiSquare statistic : 178.40 p-value of test : 0.86 ----------------------------------------------- CPU time used : 00:00:34.56 Generator state: 8488763150048 bits have been read. *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom scomp_LinearComp test: ----------------------------------------------- N = 1, n = 400020, r = 0, s = 1 ----------------------------------------------- Number of degrees of freedom : 12 Chi2 statistic for size of jumps : 7.03 p-value of test : 0.86 ----------------------------------------------- Normal statistic for number of jumps : 1.20 p-value of test : 0.12 ----------------------------------------------- CPU time used : 00:01:40.68 Generator state: 8488775950688 bits have been read. *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom scomp_LinearComp test: ----------------------------------------------- N = 1, n = 400020, r = 29, s = 1 ----------------------------------------------- Number of degrees of freedom : 12 Chi2 statistic for size of jumps : 4.11 p-value of test : 0.98 ----------------------------------------------- Normal statistic for number of jumps : -1.18 p-value of test : 0.88 ----------------------------------------------- CPU time used : 00:01:40.19 Generator state: 8488788751328 bits have been read. *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom scomp_LempelZiv test: ----------------------------------------------- N = 10, n = 134217728, r = 0, s = 30, k = 27 ----------------------------------------------- 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 : 0.55 p-value of test : 0.70 Tests on the sum of all N observations Standardized normal statistic : -0.66 p-value of test : 0.74 Sample variance : 1.28 p-value of test : 0.24 ----------------------------------------------- CPU time used : 00:00:50.17 Generator state: 8490220407328 bits have been read. *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom scomp_LempelZiv test: ----------------------------------------------- N = 10, n = 134217728, r = 15, s = 15, k = 27 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.091 p-value of test : 0.80 Kolmogorov-Smirnov- statistic = D- : 0.18 p-value of test : 0.46 Anderson-Darling statistic = A2 : 0.51 p-value of test : 0.74 Tests on the sum of all N observations Standardized normal statistic : 0.72 p-value of test : 0.24 Sample variance : 1.03 p-value of test : 0.42 ----------------------------------------------- CPU time used : 00:00:52.79 Generator state: 8493083719008 bits have been read. *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom sspectral_Fourier3 test: ----------------------------------------------- N = 100000, n = 16384, r = 0, s = 3, k = 14 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.010 p-value of test : 0.42 Kolmogorov-Smirnov- statistic = D- : 0.012 p-value of test : 0.29 Anderson-Darling statistic = A2 : 0.54 p-value of test : 0.70 ----------------------------------------------- CPU time used : 00:00:31.04 Generator state: 8510562119008 bits have been read. *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom sspectral_Fourier3 test: ----------------------------------------------- N = 100000, n = 16384, r = 27, s = 3, k = 14 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.014 p-value of test : 0.22 Kolmogorov-Smirnov- statistic = D- : 8.89e-3 p-value of test : 0.52 Anderson-Darling statistic = A2 : 0.74 p-value of test : 0.52 ----------------------------------------------- CPU time used : 00:00:29.92 Generator state: 8528040519008 bits have been read. *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom sstring_LongestHeadRun test: ----------------------------------------------- N = 1, n = 1000, r = 0, s = 3, L = 10000020 ----------------------------------------------- Number of degrees of freedom : 8 Chi-square statistic : 11.87 p-value of test : 0.16 ----------------------------------------------- Global longest run of 1 : 32.00 p-value of test : 0.50 ----------------------------------------------- CPU time used : 00:01:26.93 Generator state: 8634707399008 bits have been read. *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom sstring_LongestHeadRun test: ----------------------------------------------- N = 1, n = 1000, r = 27, s = 3, L = 10000020 ----------------------------------------------- Number of degrees of freedom : 8 Chi-square statistic : 3.57 p-value of test : 0.89 ----------------------------------------------- Global longest run of 1 : 32.00 p-value of test : 0.50 ----------------------------------------------- CPU time used : 00:01:29.72 Generator state: 8741374279008 bits have been read. *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom sstring_PeriodsInStrings test: ----------------------------------------------- N = 10, n = 500000000, r = 0, s = 10 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.14 p-value of test : 0.61 Kolmogorov-Smirnov- statistic = D- : 0.18 p-value of test : 0.46 Anderson-Darling statistic = A2 : 0.45 p-value of test : 0.80 Test on the sum of all N observations Number of degrees of freedom : 200 Chi-square statistic : 198.07 p-value of test : 0.53 ----------------------------------------------- CPU time used : 00:02:00.09 Generator state: 8901374279008 bits have been read. *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom sstring_PeriodsInStrings test: ----------------------------------------------- N = 10, n = 500000000, r = 20, s = 10 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.17 p-value of test : 0.50 Kolmogorov-Smirnov- statistic = D- : 0.073 p-value of test : 0.86 Anderson-Darling statistic = A2 : 0.26 p-value of test : 0.97 Test on the sum of all N observations Number of degrees of freedom : 200 Chi-square statistic : 195.23 p-value of test : 0.58 ----------------------------------------------- CPU time used : 00:02:04.04 Generator state: 9061374279008 bits have been read. *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom sstring_HammingWeight2 test: ----------------------------------------------- N = 10, n = 1000000000, r = 0, s = 3, L = 1000000 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.38 p-value of test : 0.04 Kolmogorov-Smirnov- statistic = D- : 0.18 p-value of test : 0.48 Anderson-Darling statistic = A2 : 1.54 p-value of test : 0.17 Test on the sum of all N observations Number of degrees of freedom : 10000 Chi-square statistic : 9892.28 p-value of test : 0.78 ----------------------------------------------- CPU time used : 00:00:57.71 Generator state: 9168041159008 bits have been read. *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom sstring_HammingWeight2 test: ----------------------------------------------- N = 10, n = 1000000000, r = 27, s = 3, L = 1000000 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.14 p-value of test : 0.63 Kolmogorov-Smirnov- statistic = D- : 0.13 p-value of test : 0.67 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 : 10000 Chi-square statistic : 9976.25 p-value of test : 0.56 ----------------------------------------------- CPU time used : 00:01:01.10 Generator state: 9274708039008 bits have been read. *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 1000000000, r = 10, s = 10, L = 30 ----------------------------------------------- Normal statistic : 1.74 p-value of test : 0.04 ----------------------------------------------- CPU time used : 00:01:02.50 Generator state: 9370708039008 bits have been read. *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 100000000, r = 10, s = 10, L = 300 ----------------------------------------------- Normal statistic : 1.13 p-value of test : 0.13 ----------------------------------------------- CPU time used : 00:01:03.34 Generator state: 9466708039008 bits have been read. *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 100000000, r = 10, s = 10, L = 1200 ----------------------------------------------- Normal statistic : 1.24 p-value of test : 0.11 ----------------------------------------------- CPU time used : 00:04:10.38 Generator state: 9850708039008 bits have been read. *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom sstring_HammingIndep test: ----------------------------------------------- N = 10, n = 30000000, r = 0, s = 3, L = 30, d = 0 Counters with expected numbers >= 10 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.31 p-value of test : 0.12 Kolmogorov-Smirnov- statistic = D- : 0.12 p-value of test : 0.68 Anderson-Darling statistic = A2 : 1.00 p-value of test : 0.35 Test on the sum of all N observations Number of degrees of freedom : 4890 Chi-square statistic : 4812.74 p-value of test : 0.78 ----------------------------------------------- CPU time used : 00:01:36.62 Generator state: 10042708039008 bits have been read. *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom sstring_HammingIndep test: ----------------------------------------------- N = 10, n = 30000000, r = 27, s = 3, L = 30, d = 0 Counters with expected numbers >= 10 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.028 p-value of test : 0.96 Kolmogorov-Smirnov- statistic = D- : 0.18 p-value of test : 0.46 Anderson-Darling statistic = A2 : 0.83 p-value of test : 0.46 Test on the sum of all N observations Number of degrees of freedom : 4890 Chi-square statistic : 5009.99 p-value of test : 0.11 ----------------------------------------------- CPU time used : 00:01:57.64 Generator state: 10234708039008 bits have been read. *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom 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 : 4281.00 p-value of test : 0.04 ----------------------------------------------- CPU time used : 00:01:16.40 Generator state: 10378708039008 bits have been read. *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom 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 : 4009.55 p-value of test : 0.88 ----------------------------------------------- CPU time used : 00:01:18.18 Generator state: 10522708039008 bits have been read. *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom 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 :11883.37 p-value of test : 0.35 ----------------------------------------------- CPU time used : 00:01:22.68 Generator state: 10676308039008 bits have been read. *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom 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 :11851.37 p-value of test : 0.43 ----------------------------------------------- CPU time used : 00:01:26.34 Generator state: 10829908039008 bits have been read. *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom 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 : 57.16 p-value of test : 0.36 ----------------------------------------------- Total number of bits: 7999966878 Normal statistic for number of bits : -0.26 p-value of test : 0.60 ----------------------------------------------- CPU time used : 00:01:07.01 Generator state: 10915241019040 bits have been read. *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom 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 : 44.55 p-value of test : 0.82 ----------------------------------------------- Total number of bits: 7999862742 Normal statistic for number of bits : -1.09 p-value of test : 0.86 ----------------------------------------------- CPU time used : 00:01:06.09 Generator state: 11000572888288 bits have been read. *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom sstring_AutoCor test: ----------------------------------------------- N = 10, n = 1000000030, r = 0, s = 3, d = 1 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.40 p-value of test : 0.03 Kolmogorov-Smirnov- statistic = D- : 0.16 p-value of test : 0.56 Anderson-Darling statistic = A2 : 3.22 p-value of test : 0.02 Tests on the sum of all N observations Standardized normal statistic : -1.32 p-value of test : 0.91 Sample variance : 2.43 p-value of test : 9.3e-3 ----------------------------------------------- CPU time used : 00:02:07.13 Generator state: 11107239558368 bits have been read. *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom sstring_AutoCor test: ----------------------------------------------- N = 10, n = 1000000029, r = 0, s = 3, d = 3 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.42 p-value of test : 0.02 Kolmogorov-Smirnov- statistic = D- : 0.015 p-value of test : 0.98 Anderson-Darling statistic = A2 : 2.74 p-value of test : 0.04 Tests on the sum of all N observations Standardized normal statistic : -2.14 p-value of test : 0.98 Sample variance : 0.82 p-value of test : 0.59 ----------------------------------------------- CPU time used : 00:01:50.65 Generator state: 11213906228448 bits have been read. *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom sstring_AutoCor test: ----------------------------------------------- N = 10, n = 1000000030, r = 27, s = 3, d = 1 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.093 p-value of test : 0.79 Kolmogorov-Smirnov- statistic = D- : 0.21 p-value of test : 0.38 Anderson-Darling statistic = A2 : 0.70 p-value of test : 0.56 Tests on the sum of all N observations Standardized normal statistic : 0.21 p-value of test : 0.42 Sample variance : 1.54 p-value of test : 0.13 ----------------------------------------------- CPU time used : 00:02:09.26 Generator state: 11320572898528 bits have been read. *********************************************************** HOST = Ubuntu-desktop-22, Linux ufile_CreateReadBin: /dev/alrandom sstring_AutoCor test: ----------------------------------------------- N = 10, n = 1000000029, r = 27, s = 3, d = 3 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.35 p-value of test : 0.07 Kolmogorov-Smirnov- statistic = D- : 0.23 p-value of test : 0.30 Anderson-Darling statistic = A2 : 1.56 p-value of test : 0.16 Tests on the sum of all N observations Standardized normal statistic : -0.54 p-value of test : 0.70 Sample variance : 2.08 p-value of test : 0.03 ----------------------------------------------- CPU time used : 00:01:55.71 Generator state: 11427239568608 bits have been read. ========= Summary results of BigCrush ========= Version: TestU01 1.2.3 Generator: ufile_CreateReadBin Number of statistics: 160 Total CPU time: 03:04:03.62 All tests were passed