xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx Starting BigCrush Version: TestU01 1.2.3 xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx *********************************************************** Test smarsa_SerialOver calling smultin_MultinomialOver *********************************************************** HOST = gpuhost1, Linux nightgale 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 : 0.62 ----------------------------------------------- CPU time used : 00:01:54.06 Generator state: *********************************************************** Test smarsa_SerialOver calling smultin_MultinomialOver *********************************************************** HOST = gpuhost1, Linux nightgale 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 : 0.11 ----------------------------------------------- CPU time used : 00:01:50.58 Generator state: *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = gpuhost1, Linux nightgale 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 : 1343 p-value of test : 0.71 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334463 j = 1 : 599997314 j = 2 : 1343 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:02:28.89 Generator state: *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = gpuhost1, Linux nightgale 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 : 1402 p-value of test : 0.16 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334522 j = 1 : 599997196 j = 2 : 1402 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:02:33.10 Generator state: *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = gpuhost1, Linux nightgale 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 : 1438 p-value of test : 0.02 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334558 j = 1 : 599997124 j = 2 : 1438 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:03:17.03 Generator state: *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = gpuhost1, Linux nightgale 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 : 1388 p-value of test : 0.26 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334508 j = 1 : 599997224 j = 2 : 1388 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:03:22.77 Generator state: *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = gpuhost1, Linux nightgale 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 : 1352 p-value of test : 0.62 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334472 j = 1 : 599997296 j = 2 : 1352 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:03:20.34 Generator state: *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = gpuhost1, Linux nightgale 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 : 1323 p-value of test : 0.87 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334443 j = 1 : 599997354 j = 2 : 1323 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:03:26.73 Generator state: *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = gpuhost1, Linux nightgale 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 : 1371 p-value of test : 0.43 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334491 j = 1 : 599997258 j = 2 : 1371 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:03:20.04 Generator state: *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = gpuhost1, Linux nightgale 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 : 1342 p-value of test : 0.72 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334462 j = 1 : 599997316 j = 2 : 1342 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:03:25.96 Generator state: *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = gpuhost1, Linux nightgale 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 : 1406 p-value of test : 0.13 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334526 j = 1 : 599997188 j = 2 : 1406 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:03:18.75 Generator state: *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = gpuhost1, Linux nightgale 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 : 1435 p-value of test : 0.03 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334555 j = 1 : 599997130 j = 2 : 1435 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:03:24.94 Generator state: *********************************************************** HOST = gpuhost1, Linux nightgale 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 : 5337 p-value of test : 0.87 ----------------------------------------------- CPU time used : 00:04:29.98 Generator state: *********************************************************** HOST = gpuhost1, Linux nightgale 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 : 4304 p-value of test : 0.69 ----------------------------------------------- CPU time used : 00:02:06.01 Generator state: *********************************************************** HOST = gpuhost1, Linux nightgale 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 : 7322 p-value of test : 0.48 ----------------------------------------------- CPU time used : 00:03:37.38 Generator state: *********************************************************** HOST = gpuhost1, Linux nightgale 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 : 4396 p-value of test : 0.19 ----------------------------------------------- CPU time used : 00:03:07.94 Generator state: *********************************************************** HOST = gpuhost1, Linux nightgale 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 : 4313 p-value of test : 0.64 ----------------------------------------------- CPU time used : 00:03:11.51 Generator state: *********************************************************** HOST = gpuhost1, Linux nightgale 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 : 7279 p-value of test : 0.67 ----------------------------------------------- CPU time used : 00:05:13.57 Generator state: *********************************************************** HOST = gpuhost1, Linux nightgale 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 : 7301 p-value of test : 0.58 ----------------------------------------------- CPU time used : 00:05:13.55 Generator state: *********************************************************** HOST = gpuhost1, Linux nightgale 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 : 7206 p-value of test : 0.90 ----------------------------------------------- CPU time used : 00:08:09.59 Generator state: *********************************************************** HOST = gpuhost1, Linux nightgale 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 : 7218 p-value of test : 0.88 ----------------------------------------------- CPU time used : 00:08:22.88 Generator state: *********************************************************** HOST = gpuhost1, Linux nightgale 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) : 0.76 p-value of test : 0.51 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) : 1.76 p-value of test : 0.13 Test on the Nm values of W_{n,i}(mNP1): 1.52 p-value of test : 0.17 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 900 Number of jumps of Y : 839 p-value of test : 0.98 Stat. AD (mNP2) : 0.47 p-value of test : 0.78 Stat. AD after spacings (mNP2-S) : 0.88 p-value of test : 0.42 ----------------------------------------------- CPU time used : 00:02:01.42 Generator state: *********************************************************** HOST = gpuhost1, Linux nightgale 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) : 0.80 p-value of test : 0.48 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) : 0.71 p-value of test : 0.55 Test on the Nm values of W_{n,i}(mNP1): 0.65 p-value of test : 0.60 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 600 Number of jumps of Y : 587 p-value of test : 0.69 Stat. AD (mNP2) : 0.28 p-value of test : 0.95 Stat. AD after spacings (mNP2-S) : 0.30 p-value of test : 0.94 ----------------------------------------------- CPU time used : 00:01:24.82 Generator state: *********************************************************** HOST = gpuhost1, Linux nightgale 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) : 1.02 p-value of test : 0.35 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) : 0.70 p-value of test : 0.56 Test on the Nm values of W_{n,i}(mNP1): 0.70 p-value of test : 0.56 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) : 0.35 p-value of test : 0.90 Stat. AD after spacings (mNP2-S) : 0.57 p-value of test : 0.68 ----------------------------------------------- CPU time used : 00:02:14.52 Generator state: *********************************************************** HOST = gpuhost1, Linux nightgale 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) : 0.86 p-value of test : 0.44 A2 test based on the spacings between the successive jump times of process Y_n(t): A2 test on the values of A2 (m-NP) : 0.97 p-value of test : 0.37 Test on the Nm values of W_{n,i}(mNP1): 1.09 p-value of test : 0.31 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 150 Number of jumps of Y : 160 p-value of test : 0.22 Stat. AD (mNP2) : 0.60 p-value of test : 0.65 Stat. AD after spacings (mNP2-S) : 0.96 p-value of test : 0.38 ----------------------------------------------- CPU time used : 00:02:30.63 Generator state: *********************************************************** HOST = gpuhost1, Linux nightgale sknuth_SimpPoker test: ----------------------------------------------- N = 1, n = 400000000, r = 0, d = 8, k = 8 ----------------------------------------------- Number of degrees of freedom : 7 Chi-square statistic : 4.04 p-value of test : 0.77 ----------------------------------------------- CPU time used : 00:02:25.14 Generator state: *********************************************************** HOST = gpuhost1, Linux nightgale sknuth_SimpPoker test: ----------------------------------------------- N = 1, n = 400000000, r = 27, d = 8, k = 8 ----------------------------------------------- Number of degrees of freedom : 7 Chi-square statistic : 12.68 p-value of test : 0.08 ----------------------------------------------- CPU time used : 00:02:32.98 Generator state: *********************************************************** HOST = gpuhost1, Linux nightgale sknuth_SimpPoker test: ----------------------------------------------- N = 1, n = 100000000, r = 0, d = 32, k = 32 ----------------------------------------------- Number of degrees of freedom : 18 Chi-square statistic : 19.60 p-value of test : 0.36 ----------------------------------------------- CPU time used : 00:02:24.61 Generator state: *********************************************************** HOST = gpuhost1, Linux nightgale sknuth_SimpPoker test: ----------------------------------------------- N = 1, n = 100000000, r = 25, d = 32, k = 32 ----------------------------------------------- Number of degrees of freedom : 18 Chi-square statistic : 14.63 p-value of test : 0.69 ----------------------------------------------- CPU time used : 00:02:33.14 Generator state: *********************************************************** HOST = gpuhost1, Linux nightgale sknuth_CouponCollector test: ----------------------------------------------- N = 1, n = 200000000, r = 0, d = 8 ----------------------------------------------- Number of degrees of freedom : 54 Chi-square statistic : 52.92 p-value of test : 0.52 ----------------------------------------------- CPU time used : 00:03:08.18 Generator state: *********************************************************** HOST = gpuhost1, Linux nightgale sknuth_CouponCollector test: ----------------------------------------------- N = 1, n = 200000000, r = 10, d = 8 ----------------------------------------------- Number of degrees of freedom : 54 Chi-square statistic : 50.05 p-value of test : 0.63 ----------------------------------------------- CPU time used : 00:03:18.47 Generator state: *********************************************************** HOST = gpuhost1, Linux nightgale sknuth_CouponCollector test: ----------------------------------------------- N = 1, n = 200000000, r = 20, d = 8 ----------------------------------------------- Number of degrees of freedom : 54 Chi-square statistic : 38.58 p-value of test : 0.94 ----------------------------------------------- CPU time used : 00:03:18.51 Generator state: *********************************************************** HOST = gpuhost1, Linux nightgale sknuth_CouponCollector test: ----------------------------------------------- N = 1, n = 200000000, r = 27, d = 8 ----------------------------------------------- Number of degrees of freedom : 54 Chi-square statistic : 63.33 p-value of test : 0.18 ----------------------------------------------- CPU time used : 00:03:18.47 Generator state: *********************************************************** HOST = gpuhost1, Linux nightgale sknuth_Gap test: ----------------------------------------------- N = 1, n = 500000000, r = 0, Alpha = 0, Beta = 0.0625 ----------------------------------------------- Number of degrees of freedom : 232 Chi-square statistic : 217.46 p-value of test : 0.74 ----------------------------------------------- CPU time used : 00:05:03.59 Generator state: *********************************************************** HOST = gpuhost1, Linux nightgale sknuth_Gap test: ----------------------------------------------- N = 1, n = 300000000, r = 25, Alpha = 0, Beta = 0.03125 ----------------------------------------------- Number of degrees of freedom : 434 Chi-square statistic : 478.76 p-value of test : 0.07 ----------------------------------------------- CPU time used : 00:06:19.26 Generator state: *********************************************************** HOST = gpuhost1, Linux nightgale sknuth_Gap test: ----------------------------------------------- N = 1, n = 100000000, r = 0, Alpha = 0, Beta = 0.0078125 ----------------------------------------------- Number of degrees of freedom : 1437 Chi-square statistic : 1425.79 p-value of test : 0.58 ----------------------------------------------- CPU time used : 00:07:56.19 Generator state: *********************************************************** HOST = gpuhost1, Linux nightgale sknuth_Gap test: ----------------------------------------------- N = 1, n = 10000000, r = 20, Alpha = 0, Beta = 0.000976562 ----------------------------------------------- Number of degrees of freedom : 7046 Chi-square statistic : 6856.98 p-value of test : 0.95 ----------------------------------------------- CPU time used : 00:06:39.14 Generator state: *********************************************************** HOST = gpuhost1, Linux nightgale sknuth_Run test: ----------------------------------------------- N = 5, n = 1000000000, r = 0, Up = FALSE ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.33 p-value of test : 0.27 Kolmogorov-Smirnov- statistic = D- : 0.21 p-value of test : 0.55 Anderson-Darling statistic = A2 : 1.25 p-value of test : 0.25 Test on the sum of all N observations Number of degrees of freedom : 30 Chi-square statistic : 23.51 p-value of test : 0.79 ----------------------------------------------- CPU time used : 00:03:27.79 Generator state: *********************************************************** HOST = gpuhost1, Linux nightgale sknuth_Run test: ----------------------------------------------- N = 10, n = 1000000000, r = 15, Up = TRUE ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.19 p-value of test : 0.44 Kolmogorov-Smirnov- statistic = D- : 0.090 p-value of test : 0.80 Anderson-Darling statistic = A2 : 0.23 p-value of test : 0.98 Test on the sum of all N observations Number of degrees of freedom : 60 Chi-square statistic : 57.46 p-value of test : 0.57 ----------------------------------------------- CPU time used : 00:07:26.51 Generator state: *********************************************************** Test sknuth_Permutation calling smultin_Multinomial *********************************************************** HOST = gpuhost1, Linux nightgale 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 : 7.07 p-value of test : 0.22 ----------------------------------------------- CPU time used : 00:02:15.60 Generator state: *********************************************************** Test sknuth_Permutation calling smultin_Multinomial *********************************************************** HOST = gpuhost1, Linux nightgale 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 : 108.75 p-value of test : 0.74 ----------------------------------------------- CPU time used : 00:03:53.25 Generator state: *********************************************************** Test sknuth_Permutation calling smultin_Multinomial *********************************************************** HOST = gpuhost1, Linux nightgale 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 : 5074.37 p-value of test : 0.36 ----------------------------------------------- CPU time used : 00:02:48.37 Generator state: *********************************************************** Test sknuth_Permutation calling smultin_Multinomial *********************************************************** HOST = gpuhost1, Linux nightgale 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 : 0.12 ----------------------------------------------- CPU time used : 00:04:40.82 Generator state: *********************************************************** Test sknuth_CollisionPermut calling smultin_Multinomial *********************************************************** HOST = gpuhost1, Linux nightgale 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 : 45952 p-value of test : 0.37 ----------------------------- Total number of cells containing j balls j = 0 : 1743165869952 j = 1 : 399908099 j = 2 : 45946 j = 3 : 3 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:06:21.18 Generator state: *********************************************************** Test sknuth_CollisionPermut calling smultin_Multinomial *********************************************************** HOST = gpuhost1, Linux nightgale 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 : 46056 p-value of test : 0.21 ----------------------------- Total number of cells containing j balls j = 0 : 1743165870056 j = 1 : 399907890 j = 2 : 46052 j = 3 : 2 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:06:34.60 Generator state: *********************************************************** HOST = gpuhost1, Linux nightgale 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+ : 0.024 p-value of test : 0.94 Kolmogorov-Smirnov- statistic = D- : 0.11 p-value of test : 0.38 Anderson-Darling statistic = A2 : 0.53 p-value of test : 0.71 Test on the sum of all N observations Number of degrees of freedom : 3999960 Chi-square statistic : 4.00e+6 p-value of test : 0.20 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.077 p-value of test : 0.60 Kolmogorov-Smirnov- statistic = D- : 0.083 p-value of test : 0.55 Anderson-Darling statistic = A2 : 0.32 p-value of test : 0.92 ----------------------------------------------- CPU time used : 00:04:35.55 Generator state: *********************************************************** HOST = gpuhost1, Linux nightgale 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+ : 0.22 p-value of test : 0.05 Kolmogorov-Smirnov- statistic = D- : 0.093 p-value of test : 0.56 Anderson-Darling statistic = A2 : 1.71 p-value of test : 0.13 Test on the sum of all N observations Number of degrees of freedom : 2999970 Chi-square statistic : 3.00e+6 p-value of test : 0.79 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.044 p-value of test : 0.87 Kolmogorov-Smirnov- statistic = D- : 0.18 p-value of test : 0.12 Anderson-Darling statistic = A2 : 0.83 p-value of test : 0.46 ----------------------------------------------- CPU time used : 00:04:55.31 Generator state: *********************************************************** HOST = gpuhost1, Linux nightgale 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+ : 0.13 p-value of test : 0.47 Kolmogorov-Smirnov- statistic = D- : 0.12 p-value of test : 0.53 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 : 1999980 Chi-square statistic : 2.00e+6 p-value of test : 0.52 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.16 p-value of test : 0.34 Kolmogorov-Smirnov- statistic = D- : 0.13 p-value of test : 0.49 Anderson-Darling statistic = A2 : 0.55 p-value of test : 0.69 ----------------------------------------------- CPU time used : 00:04:16.07 Generator state: *********************************************************** HOST = gpuhost1, Linux nightgale 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+ : 0.018 p-value of test : 0.97 Kolmogorov-Smirnov- statistic = D- : 0.34 p-value of test : 8.2e-3 Anderson-Darling statistic = A2 : 1.84 p-value of test : 0.11 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 p-value of test : 0.05 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.018 p-value of test : 0.97 Kolmogorov-Smirnov- statistic = D- : 0.25 p-value of test : 0.06 Anderson-Darling statistic = A2 : 2.52 p-value of test : 0.05 ----------------------------------------------- CPU time used : 00:05:15.32 Generator state: *********************************************************** HOST = gpuhost1, Linux nightgale svaria_SampleProd test: ----------------------------------------------- N = 40, n = 10000000, r = 0, t = 8 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.052 p-value of test : 0.78 Kolmogorov-Smirnov- statistic = D- : 0.21 p-value of test : 0.02 Anderson-Darling statistic = A2 : 1.76 p-value of test : 0.13 ----------------------------------------------- CPU time used : 00:04:23.14 Generator state: *********************************************************** HOST = gpuhost1, Linux nightgale svaria_SampleProd test: ----------------------------------------------- N = 20, n = 10000000, r = 0, t = 16 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.22 p-value of test : 0.13 Kolmogorov-Smirnov- statistic = D- : 0.096 p-value of test : 0.65 Anderson-Darling statistic = A2 : 0.96 p-value of test : 0.38 ----------------------------------------------- CPU time used : 00:03:12.04 Generator state: *********************************************************** HOST = gpuhost1, Linux nightgale svaria_SampleProd test: ----------------------------------------------- N = 20, n = 10000000, r = 0, t = 24 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.24 p-value of test : 0.09 Kolmogorov-Smirnov- statistic = D- : 0.050 p-value of test : 0.87 Anderson-Darling statistic = A2 : 0.89 p-value of test : 0.42 ----------------------------------------------- CPU time used : 00:04:12.52 Generator state: *********************************************************** HOST = gpuhost1, Linux nightgale svaria_SampleMean test: ----------------------------------------------- N = 20000000, n = 30, r = 0 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 3.39e-5 p-value of test : 0.96 Kolmogorov-Smirnov- statistic = D- : 1.81e-4 p-value of test : 0.27 Anderson-Darling statistic = A2 : 1.15 p-value of test : 0.29 ----------------------------------------------- CPU time used : 00:00:38.93 Generator state: *********************************************************** HOST = gpuhost1, Linux nightgale svaria_SampleMean test: ----------------------------------------------- N = 20000000, n = 30, r = 10 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 1.37e-4 p-value of test : 0.47 Kolmogorov-Smirnov- statistic = D- : 1.35e-4 p-value of test : 0.48 Anderson-Darling statistic = A2 : 0.57 p-value of test : 0.68 ----------------------------------------------- CPU time used : 00:00:40.06 Generator state: *********************************************************** HOST = gpuhost1, Linux nightgale svaria_SampleCorr test: ----------------------------------------------- N = 1, n = 2000000000, r = 0, k = 1 ----------------------------------------------- Normal statistic : -0.39 p-value of test : 0.65 ----------------------------------------------- CPU time used : 00:01:16.28 Generator state: *********************************************************** HOST = gpuhost1, Linux nightgale svaria_SampleCorr test: ----------------------------------------------- N = 1, n = 2000000000, r = 0, k = 2 ----------------------------------------------- Normal statistic : 0.87 p-value of test : 0.19 ----------------------------------------------- CPU time used : 00:01:16.60 Generator state: *********************************************************** HOST = gpuhost1, Linux nightgale svaria_AppearanceSpacings test: ----------------------------------------------- N = 1, Q = 10000000, K = 1000000000, r = 0, s = 3, L = 15 Sequences of n = (K + Q)L = 15150000000 bits Q = 10000000 initialization blocks K = 1000000000 blocks for the test the blocks have L = 15 bits ----------------------------------------------- Normal statistic : -1.87 p-value of test : 0.97 ----------------------------------------------- CPU time used : 00:04:50.95 Generator state: *********************************************************** HOST = gpuhost1, Linux nightgale 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 : -0.92 p-value of test : 0.82 ----------------------------------------------- CPU time used : 00:04:50.12 Generator state: *********************************************************** HOST = gpuhost1, Linux nightgale 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 : 72.29 p-value of test : 0.31 ----------------------------------------------- CPU time used : 00:03:10.92 Generator state: *********************************************************** HOST = gpuhost1, Linux nightgale 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 : 75.98 p-value of test : 0.21 ----------------------------------------------- CPU time used : 00:03:18.53 Generator state: *********************************************************** HOST = gpuhost1, Linux nightgale 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 : 62.76 p-value of test : 0.62 ----------------------------------------------- CPU time used : 00:03:18.53 Generator state: *********************************************************** HOST = gpuhost1, Linux nightgale 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 : 44.42 p-value of test : 0.19 ----------------------------------------------- CPU time used : 00:03:10.90 Generator state: *********************************************************** HOST = gpuhost1, Linux nightgale 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 : 34.34 p-value of test : 0.59 ----------------------------------------------- CPU time used : 00:03:18.53 Generator state: *********************************************************** HOST = gpuhost1, Linux nightgale 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 : 36.42 p-value of test : 0.50 ----------------------------------------------- CPU time used : 00:03:18.53 Generator state: *********************************************************** HOST = gpuhost1, Linux nightgale svaria_SumCollector test: ----------------------------------------------- N = 1, n = 500000000, r = 0, g = 10 ----------------------------------------------- Number of degrees of freedom : 29 Chi-square statistic : 30.80 p-value of test : 0.38 ----------------------------------------------- CPU time used : 00:06:28.37 Generator state: *********************************************************** HOST = gpuhost1, Linux nightgale smarsa_MatrixRank test: ----------------------------------------------- N = 10, n = 1000000, r = 0, s = 5, L = 30, k = 30 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 8.05e-3 p-value of test : 0.9914 Kolmogorov-Smirnov- statistic = D- : 0.35 p-value of test : 0.07 Anderson-Darling statistic = A2 : 1.70 p-value of test : 0.14 Test on the sum of all N observations Number of degrees of freedom : 40 Chi-square statistic : 58.86 p-value of test : 0.03 ----------------------------------------------- CPU time used : 00:01:53.63 Generator state: *********************************************************** HOST = gpuhost1, Linux nightgale smarsa_MatrixRank test: ----------------------------------------------- N = 10, n = 1000000, r = 25, s = 5, L = 30, k = 30 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.21 p-value of test : 0.37 Kolmogorov-Smirnov- statistic = D- : 0.11 p-value of test : 0.73 Anderson-Darling statistic = A2 : 0.58 p-value of test : 0.66 Test on the sum of all N observations Number of degrees of freedom : 40 Chi-square statistic : 32.82 p-value of test : 0.78 ----------------------------------------------- CPU time used : 00:01:53.65 Generator state: *********************************************************** HOST = gpuhost1, Linux nightgale smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 5000, r = 0, s = 4, L = 1000, k = 1000 ----------------------------------------------- Number of degrees of freedom : 3 Chi-square statistic : 5.04 p-value of test : 0.17 ----------------------------------------------- CPU time used : 00:02:25.87 Generator state: *********************************************************** HOST = gpuhost1, Linux nightgale smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 5000, r = 26, s = 4, L = 1000, k = 1000 ----------------------------------------------- Number of degrees of freedom : 3 Chi-square statistic : 1.52 p-value of test : 0.68 ----------------------------------------------- CPU time used : 00:02:25.97 Generator state: *********************************************************** HOST = gpuhost1, Linux nightgale smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 80, r = 15, s = 15, L = 5000, k = 5000 ----------------------------------------------- Number of degrees of freedom : 2 Chi-square statistic : 1.40 p-value of test : 0.50 ----------------------------------------------- CPU time used : 00:01:37.28 Generator state: *********************************************************** HOST = gpuhost1, Linux nightgale smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 80, r = 0, s = 30, L = 5000, k = 5000 ----------------------------------------------- Number of degrees of freedom : 2 Chi-square statistic : 1.59 p-value of test : 0.45 ----------------------------------------------- CPU time used : 00:01:21.47 Generator state: *********************************************************** HOST = gpuhost1, Linux nightgale smarsa_Savir2 test: ----------------------------------------------- N = 10, n = 10000000, r = 10, m = 1048576, t = 30 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.28 p-value of test : 0.18 Kolmogorov-Smirnov- statistic = D- : 0.033 p-value of test : 0.96 Anderson-Darling statistic = A2 : 1.19 p-value of test : 0.27 Test on the sum of all N observations Number of degrees of freedom : 130 Chi-square statistic : 107.19 p-value of test : 0.93 ----------------------------------------------- CPU time used : 00:01:56.17 Generator state: *********************************************************** HOST = gpuhost1, Linux nightgale smarsa_GCD test: ----------------------------------------------- N = 10, n = 50000000, r = 0, s = 30 ----------------------------------------------- Test results for GCD values: Kolmogorov-Smirnov+ statistic = D+ : 0.26 p-value of test : 0.23 Kolmogorov-Smirnov- statistic = D- : 0.065 p-value of test : 0.89 Anderson-Darling statistic = A2 : 1.18 p-value of test : 0.27 Test on the sum of all N observations Number of degrees of freedom : 17430 Chi-square statistic :17192.62 p-value of test : 0.90 ----------------------------------------------- CPU time used : 00:02:08.76 Generator state: *********************************************************** HOST = gpuhost1, Linux nightgale 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 : 50.68 p-value of test : 0.05 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 ChiSquare statistic : 37.59 p-value of test : 0.35 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 ChiSquare statistic : 27.15 p-value of test : 0.35 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 ChiSquare statistic : 34.41 p-value of test : 0.08 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 ChiSquare statistic : 15.09 p-value of test : 0.59 ----------------------------------------------- CPU time used : 00:01:22.01 Generator state: *********************************************************** HOST = gpuhost1, Linux nightgale 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 : 27.55 p-value of test : 0.84 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 ChiSquare statistic : 26.56 p-value of test : 0.85 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 ChiSquare statistic : 22.97 p-value of test : 0.58 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 ChiSquare statistic : 37.00 p-value of test : 0.04 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 ChiSquare statistic : 14.06 p-value of test : 0.66 ----------------------------------------------- CPU time used : 00:01:23.70 Generator state: *********************************************************** HOST = gpuhost1, Linux nightgale 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 : 161.46 p-value of test : 0.18 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 ChiSquare statistic : 138.45 p-value of test : 0.66 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 ChiSquare statistic : 473.57 p-value of test : 0.80 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 ChiSquare statistic : 130.73 p-value of test : 0.61 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 ChiSquare statistic : 56.65 p-value of test : 0.93 ----------------------------------------------- CPU time used : 00:01:49.98 Generator state: *********************************************************** HOST = gpuhost1, Linux nightgale 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 : 153.44 p-value of test : 0.32 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 ChiSquare statistic : 174.86 p-value of test : 0.05 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 ChiSquare statistic : 501.47 p-value of test : 0.47 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 ChiSquare statistic : 125.48 p-value of test : 0.73 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 ChiSquare statistic : 74.98 p-value of test : 0.45 ----------------------------------------------- CPU time used : 00:01:51.79 Generator state: *********************************************************** HOST = gpuhost1, Linux nightgale 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 : 390.70 p-value of test : 0.40 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 ChiSquare statistic : 378.86 p-value of test : 0.56 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 ChiSquare statistic : 5153.34 p-value of test : 0.06 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 ChiSquare statistic : 372.77 p-value of test : 0.57 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 ChiSquare statistic : 182.49 p-value of test : 0.81 ----------------------------------------------- CPU time used : 00:01:33.23 Generator state: *********************************************************** HOST = gpuhost1, Linux nightgale 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 : 354.43 p-value of test : 0.86 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 ChiSquare statistic : 387.65 p-value of test : 0.44 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 ChiSquare statistic : 4926.45 p-value of test : 0.77 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 ChiSquare statistic : 400.26 p-value of test : 0.21 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 ChiSquare statistic : 194.46 p-value of test : 0.60 ----------------------------------------------- CPU time used : 00:01:34.44 Generator state: *********************************************************** HOST = gpuhost1, Linux nightgale scomp_LinearComp test: ----------------------------------------------- N = 1, n = 400020, r = 0, s = 1 ----------------------------------------------- Number of degrees of freedom : 12 Chi2 statistic for size of jumps : 14.49 p-value of test : 0.27 ----------------------------------------------- Normal statistic for number of jumps : 1.05 p-value of test : 0.15 ----------------------------------------------- CPU time used : 00:01:56.93 Generator state: *********************************************************** HOST = gpuhost1, Linux nightgale scomp_LinearComp test: ----------------------------------------------- N = 1, n = 400020, r = 29, s = 1 ----------------------------------------------- Number of degrees of freedom : 12 Chi2 statistic for size of jumps : 6.04 p-value of test : 0.91 ----------------------------------------------- Normal statistic for number of jumps : -0.16 p-value of test : 0.56 ----------------------------------------------- CPU time used : 00:01:56.88 Generator state: *********************************************************** HOST = gpuhost1, Linux nightgale scomp_LempelZiv test: ----------------------------------------------- N = 10, n = 134217728, r = 0, s = 30, k = 27 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.33 p-value of test : 0.09 Kolmogorov-Smirnov- statistic = D- : 0.018 p-value of test : 0.98 Anderson-Darling statistic = A2 : 1.73 p-value of test : 0.13 Tests on the sum of all N observations Standardized normal statistic : -1.77 p-value of test : 0.96 Sample variance : 0.96 p-value of test : 0.47 ----------------------------------------------- CPU time used : 00:00:51.34 Generator state: *********************************************************** HOST = gpuhost1, Linux nightgale scomp_LempelZiv test: ----------------------------------------------- N = 10, n = 134217728, r = 15, s = 15, k = 27 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.21 p-value of test : 0.36 Kolmogorov-Smirnov- statistic = D- : 0.20 p-value of test : 0.41 Anderson-Darling statistic = A2 : 0.66 p-value of test : 0.59 Tests on the sum of all N observations Standardized normal statistic : -0.26 p-value of test : 0.60 Sample variance : 0.71 p-value of test : 0.70 ----------------------------------------------- CPU time used : 00:00:54.77 Generator state: *********************************************************** HOST = gpuhost1, Linux nightgale sspectral_Fourier3 test: ----------------------------------------------- N = 100000, n = 16384, r = 0, s = 3, k = 14 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 9.78e-3 p-value of test : 0.45 Kolmogorov-Smirnov- statistic = D- : 3.16e-3 p-value of test : 0.92 Anderson-Darling statistic = A2 : 0.57 p-value of test : 0.68 ----------------------------------------------- CPU time used : 00:01:00.00 Generator state: *********************************************************** HOST = gpuhost1, Linux nightgale sspectral_Fourier3 test: ----------------------------------------------- N = 100000, n = 16384, r = 27, s = 3, k = 14 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.011 p-value of test : 0.39 Kolmogorov-Smirnov- statistic = D- : 7.29e-3 p-value of test : 0.64 Anderson-Darling statistic = A2 : 0.57 p-value of test : 0.68 ----------------------------------------------- CPU time used : 00:01:00.06 Generator state: *********************************************************** HOST = gpuhost1, Linux nightgale sstring_LongestHeadRun test: ----------------------------------------------- N = 1, n = 1000, r = 0, s = 3, L = 10000020 ----------------------------------------------- Number of degrees of freedom : 8 Chi-square statistic : 8.45 p-value of test : 0.39 ----------------------------------------------- Global longest run of 1 : 36.00 p-value of test : 0.07 ----------------------------------------------- CPU time used : 00:02:56.34 Generator state: *********************************************************** HOST = gpuhost1, Linux nightgale sstring_LongestHeadRun test: ----------------------------------------------- N = 1, n = 1000, r = 27, s = 3, L = 10000020 ----------------------------------------------- Number of degrees of freedom : 8 Chi-square statistic : 6.95 p-value of test : 0.54 ----------------------------------------------- Global longest run of 1 : 30.00 p-value of test : 0.90 ----------------------------------------------- CPU time used : 00:02:57.63 Generator state: *********************************************************** HOST = gpuhost1, Linux nightgale sstring_PeriodsInStrings test: ----------------------------------------------- N = 10, n = 500000000, r = 0, s = 10 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.24 p-value of test : 0.28 Kolmogorov-Smirnov- statistic = D- : 0.093 p-value of test : 0.79 Anderson-Darling statistic = A2 : 2.07 p-value of test : 0.09 Test on the sum of all N observations Number of degrees of freedom : 200 Chi-square statistic : 177.18 p-value of test : 0.88 ----------------------------------------------- CPU time used : 00:04:30.49 Generator state: *********************************************************** HOST = gpuhost1, Linux nightgale sstring_PeriodsInStrings test: ----------------------------------------------- N = 10, n = 500000000, r = 20, s = 10 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.17 p-value of test : 0.52 Kolmogorov-Smirnov- statistic = D- : 0.096 p-value of test : 0.78 Anderson-Darling statistic = A2 : 0.25 p-value of test : 0.97 Test on the sum of all N observations Number of degrees of freedom : 200 Chi-square statistic : 195.27 p-value of test : 0.58 ----------------------------------------------- CPU time used : 00:04:32.38 Generator state: *********************************************************** HOST = gpuhost1, Linux nightgale sstring_HammingWeight2 test: ----------------------------------------------- N = 10, n = 1000000000, r = 0, s = 3, L = 1000000 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.076 p-value of test : 0.85 Kolmogorov-Smirnov- statistic = D- : 0.23 p-value of test : 0.31 Anderson-Darling statistic = A2 : 0.58 p-value of test : 0.66 Test on the sum of all N observations Number of degrees of freedom : 10000 Chi-square statistic :10106.44 p-value of test : 0.23 ----------------------------------------------- CPU time used : 00:02:30.13 Generator state: *********************************************************** HOST = gpuhost1, Linux nightgale sstring_HammingWeight2 test: ----------------------------------------------- N = 10, n = 1000000000, r = 27, s = 3, L = 1000000 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.029 p-value of test : 0.96 Kolmogorov-Smirnov- statistic = D- : 0.39 p-value of test : 0.04 Anderson-Darling statistic = A2 : 2.14 p-value of test : 0.08 Test on the sum of all N observations Number of degrees of freedom : 10000 Chi-square statistic :10263.79 p-value of test : 0.03 ----------------------------------------------- CPU time used : 00:02:32.59 Generator state: *********************************************************** HOST = gpuhost1, Linux nightgale sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 1000000000, r = 10, s = 10, L = 30 ----------------------------------------------- Normal statistic : 0.47 p-value of test : 0.32 ----------------------------------------------- CPU time used : 00:02:35.45 Generator state: *********************************************************** HOST = gpuhost1, Linux nightgale sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 100000000, r = 10, s = 10, L = 300 ----------------------------------------------- Normal statistic : 0.32 p-value of test : 0.37 ----------------------------------------------- CPU time used : 00:02:33.52 Generator state: *********************************************************** HOST = gpuhost1, Linux nightgale sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 100000000, r = 10, s = 10, L = 1200 ----------------------------------------------- Normal statistic : 1.29 p-value of test : 0.10 ----------------------------------------------- CPU time used : 00:10:12.16 Generator state: *********************************************************** HOST = gpuhost1, Linux nightgale sstring_HammingIndep test: ----------------------------------------------- N = 10, n = 30000000, r = 0, s = 3, L = 30, d = 0 Counters with expected numbers >= 10 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.20 p-value of test : 0.38 Kolmogorov-Smirnov- statistic = D- : 0.12 p-value of test : 0.71 Anderson-Darling statistic = A2 : 0.51 p-value of test : 0.73 Test on the sum of all N observations Number of degrees of freedom : 4890 Chi-square statistic : 4874.32 p-value of test : 0.56 ----------------------------------------------- CPU time used : 00:04:39.88 Generator state: *********************************************************** HOST = gpuhost1, Linux nightgale sstring_HammingIndep test: ----------------------------------------------- N = 10, n = 30000000, r = 27, s = 3, L = 30, d = 0 Counters with expected numbers >= 10 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.33 p-value of test : 0.08 Kolmogorov-Smirnov- statistic = D- : 0.052 p-value of test : 0.92 Anderson-Darling statistic = A2 : 1.22 p-value of test : 0.26 Test on the sum of all N observations Number of degrees of freedom : 4890 Chi-square statistic : 4778.11 p-value of test : 0.87 ----------------------------------------------- CPU time used : 00:04:42.91 Generator state: *********************************************************** HOST = gpuhost1, Linux nightgale 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 : 4133.76 p-value of test : 0.42 ----------------------------------------------- CPU time used : 00:03:28.77 Generator state: *********************************************************** HOST = gpuhost1, Linux nightgale 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 : 3986.78 p-value of test : 0.93 ----------------------------------------------- CPU time used : 00:03:31.06 Generator state: *********************************************************** HOST = gpuhost1, Linux nightgale 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 :12081.53 p-value of test : 0.05 ----------------------------------------------- CPU time used : 00:03:46.50 Generator state: *********************************************************** HOST = gpuhost1, Linux nightgale 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 :11819.61 p-value of test : 0.51 ----------------------------------------------- CPU time used : 00:03:48.90 Generator state: *********************************************************** HOST = gpuhost1, Linux nightgale 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 : 54.85 p-value of test : 0.44 ----------------------------------------------- Total number of bits: 8000045301 Normal statistic for number of bits : 0.36 p-value of test : 0.36 ----------------------------------------------- CPU time used : 00:02:22.27 Generator state: *********************************************************** HOST = gpuhost1, Linux nightgale 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 : 39.62 p-value of test : 0.93 ----------------------------------------------- Total number of bits: 8000084370 Normal statistic for number of bits : 0.67 p-value of test : 0.25 ----------------------------------------------- CPU time used : 00:02:25.13 Generator state: *********************************************************** HOST = gpuhost1, Linux nightgale sstring_AutoCor test: ----------------------------------------------- N = 10, n = 1000000030, r = 0, s = 3, d = 1 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.13 p-value of test : 0.67 Kolmogorov-Smirnov- statistic = D- : 0.24 p-value of test : 0.29 Anderson-Darling statistic = A2 : 0.46 p-value of test : 0.78 Tests on the sum of all N observations Standardized normal statistic : 0.46 p-value of test : 0.32 Sample variance : 1.29 p-value of test : 0.24 ----------------------------------------------- CPU time used : 00:03:53.79 Generator state: *********************************************************** HOST = gpuhost1, Linux nightgale 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- : 0.15 p-value of test : 0.57 Anderson-Darling statistic = A2 : 0.65 p-value of test : 0.60 Tests on the sum of all N observations Standardized normal statistic : -0.16 p-value of test : 0.56 Sample variance : 1.26 p-value of test : 0.25 ----------------------------------------------- CPU time used : 00:03:37.34 Generator state: *********************************************************** HOST = gpuhost1, Linux nightgale sstring_AutoCor test: ----------------------------------------------- N = 10, n = 1000000030, r = 27, s = 3, d = 1 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.23 p-value of test : 0.30 Kolmogorov-Smirnov- statistic = D- : 0.081 p-value of test : 0.84 Anderson-Darling statistic = A2 : 0.90 p-value of test : 0.41 Tests on the sum of all N observations Standardized normal statistic : -0.99 p-value of test : 0.84 Sample variance : 1.14 p-value of test : 0.33 ----------------------------------------------- CPU time used : 00:03:58.63 Generator state: *********************************************************** HOST = gpuhost1, Linux nightgale sstring_AutoCor test: ----------------------------------------------- N = 10, n = 1000000029, r = 27, s = 3, d = 3 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.38 p-value of test : 0.04 Kolmogorov-Smirnov- statistic = D- : 0.057 p-value of test : 0.91 Anderson-Darling statistic = A2 : 1.50 p-value of test : 0.18 Tests on the sum of all N observations Standardized normal statistic : -1.35 p-value of test : 0.91 Sample variance : 0.81 p-value of test : 0.61 ----------------------------------------------- CPU time used : 00:03:41.88 Generator state: ========= Summary results of BigCrush ========= Version: TestU01 1.2.3 Generator: nightgale Number of statistics: 160 Total CPU time: 05:56:36.54 All tests were passed