================================================================================ Run tests for cgpt engine = 0 ================================================================================ xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx Starting SmallCrush Version: TestU01 1.2.3 xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux smarsa_BirthdaySpacings test: ----------------------------------------------- N = 1, n = 5000000, r = 0, d = 1073741824, t = 2, p = 1 Number of cells = d^t = 1152921504606846976 Lambda = Poisson mean = 27.1051 ---------------------------------------------------- Total expected number = N*Lambda : 27.11 Total observed number : 20 p-value of test : 0.90 ----------------------------------------------- CPU time used : 00:02:53.68 Generator state: *********************************************************** Test sknuth_Collision calling smultin_Multinomial *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux smultin_Multinomial test: ----------------------------------------------- N = 1, n = 5000000, r = 0, d = 65536, t = 2, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 4294967296 Expected number per cell = 1 / 858.99346 EColl = n^2 / (2k) = 2910.383046 Hashing = TRUE Collision test, Mu = 2909.2534, Sigma = 53.8957 ----------------------------------------------- Test Results for Collisions Expected number of collisions = Mu : 2909.25 Observed number of collisions : 2912 p-value of test : 0.48 ----------------------------- Total number of cells containing j balls j = 0 : 4289970208 j = 1 : 4994178 j = 2 : 2908 j = 3 : 2 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:04:59.27 Generator state: *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux sknuth_Gap test: ----------------------------------------------- N = 1, n = 200000, r = 22, Alpha = 0, Beta = 0.00390625 ----------------------------------------------- Number of degrees of freedom : 1114 Chi-square statistic : 1092.56 p-value of test : 0.67 ----------------------------------------------- CPU time used : 00:13:40.78 Generator state: *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux sknuth_SimpPoker test: ----------------------------------------------- N = 1, n = 400000, r = 24, d = 64, k = 64 ----------------------------------------------- Number of degrees of freedom : 19 Chi-square statistic : 27.26 p-value of test : 0.10 ----------------------------------------------- CPU time used : 00:07:06.57 Generator state: *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux sknuth_CouponCollector test: ----------------------------------------------- N = 1, n = 500000, r = 26, d = 16 ----------------------------------------------- Number of degrees of freedom : 44 Chi-square statistic : 35.72 p-value of test : 0.81 ----------------------------------------------- CPU time used : 00:06:56.30 Generator state: *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux sknuth_MaxOft test: ----------------------------------------------- N = 1, n = 2000000, r = 0, d = 100000, t = 6 Number of categories = 100000 Expected number per category = 20.00 ----------------------------------------------- Number of degrees of freedom : 99999 Chi-square statistic :99238.40 p-value of test : 0.96 ----------------------------------------------- Anderson-Darling statistic : 0.31 p-value of test : 0.69 ----------------------------------------------- CPU time used : 00:03:47.59 Generator state: *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux svaria_WeightDistrib test: ----------------------------------------------- N = 1, n = 200000, r = 27, k = 256, Alpha = 0, Beta = 0.125 ----------------------------------------------- Number of degrees of freedom : 41 Chi-square statistic : 24.57 p-value of test : 0.98 ----------------------------------------------- CPU time used : 00:13:33.80 Generator state: *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 20000, r = 20, s = 10, L = 60, k = 60 ----------------------------------------------- Number of degrees of freedom : 3 Chi-square statistic : 0.23 p-value of test : 0.97 ----------------------------------------------- CPU time used : 00:03:05.92 Generator state: *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux sstring_HammingIndep test: ----------------------------------------------- N = 1, n = 500000, r = 20, s = 10, L = 300, d = 0 Counters with expected numbers >= 10 ----------------------------------------------- Number of degrees of freedom : 2209 Chi-square statistic : 2081.88 p-value of test : 0.97 ----------------------------------------------- CPU time used : 00:08:25.98 Generator state: *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux swalk_RandomWalk1 test: ----------------------------------------------- N = 1, n = 1000000, r = 0, s = 30, L0 = 150, L1 = 150 ----------------------------------------------- Test on the values of the Statistic H Number of degrees of freedom : 52 ChiSquare statistic : 49.07 p-value of test : 0.59 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 52 ChiSquare statistic : 58.20 p-value of test : 0.26 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 75 ChiSquare statistic : 71.89 p-value of test : 0.58 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 44 ChiSquare statistic : 28.10 p-value of test : 0.97 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 26 ChiSquare statistic : 23.24 p-value of test : 0.62 ----------------------------------------------- CPU time used : 00:05:01.51 Generator state: ========= Summary results of SmallCrush ========= Version: TestU01 1.2.3 Generator: cgpt_ranlux Number of statistics: 15 Total CPU time: 01:09:31.84 All tests were passed xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx Starting BigCrush Version: TestU01 1.2.3 xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx *********************************************************** Test smarsa_SerialOver calling smultin_MultinomialOver *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux 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 : 0.26 ----------------------------------------------- CPU time used : 07:40:08.52 Generator state: *********************************************************** Test smarsa_SerialOver calling smultin_MultinomialOver *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux 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 : 0.93 ----------------------------------------------- CPU time used : 08:05:52.93 Generator state: *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux 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 : 1380 p-value of test : 0.34 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334500 j = 1 : 599997240 j = 2 : 1380 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 10:34:16.71 Generator state: *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux 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 : 1329 p-value of test : 0.83 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334449 j = 1 : 599997342 j = 2 : 1329 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 10:57:01.39 Generator state: *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux 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 : 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 : 13:10:19.35 Generator state: *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux 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 : 1397 p-value of test : 0.19 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334517 j = 1 : 599997206 j = 2 : 1397 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 13:17:47.54 Generator state: *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux smultin_MultinomialOver test: ----------------------------------------------- N = 30, n = 20000000, r = 0, d = 64, t = 7, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 4398046511104 Expected number per cell = 1 / 219902.33 EColl = n^2 / (2k) = 45.47473509 Hashing = TRUE Collision test CollisionOver: density = n / k = 1 / 219902.33 Expected number of collisions = Mu = 45.47 ----------------------------------------------- Results of CollisionOver test: POISSON approximation : Expected number of collisions = N*Mu : 1364.24 Observed number of collisions : 1379 p-value of test : 0.35 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334499 j = 1 : 599997242 j = 2 : 1379 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 13:27:31.25 Generator state: *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux 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 : 1337 p-value of test : 0.76 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334457 j = 1 : 599997326 j = 2 : 1337 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 13:29:56.75 Generator state: *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux 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 : 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 : 13:23:07.64 Generator state: *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux 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 : 1417 p-value of test : 0.08 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334537 j = 1 : 599997166 j = 2 : 1417 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 13:29:33.95 Generator state: *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux 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 : 1381 p-value of test : 0.33 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334501 j = 1 : 599997238 j = 2 : 1381 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 13:20:00.84 Generator state: *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux 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 : 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 : 13:33:24.15 Generator state: *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux 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 : 5438 p-value of test : 0.41 ----------------------------------------------- CPU time used : 09:13:36.31 Generator state: *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux 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 : 4399 p-value of test : 0.17 ----------------------------------------------- CPU time used : 05:25:06.64 Generator state: *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux 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 : 7345 p-value of test : 0.38 ----------------------------------------------- CPU time used : 11:10:10.21 Generator state: *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux 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 : 4294 p-value of test : 0.74 ----------------------------------------------- CPU time used : 12:21:23.31 Generator state: *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux 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 : 4273 p-value of test : 0.83 ----------------------------------------------- CPU time used : 13:02:17.31 Generator state: *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux 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 : 7300 p-value of test : 0.58 ----------------------------------------------- CPU time used : 22:13:27.63 Generator state: *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux 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 : 7290 p-value of test : 0.63 ----------------------------------------------- CPU time used : 22:23:13.76 Generator state: *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux 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 : 7328 p-value of test : 0.46 ----------------------------------------------- CPU time used : 41:28:11.93 Generator state: *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux 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 : 7330 p-value of test : 0.45 ----------------------------------------------- CPU time used : 44:09:47.90 Generator state: *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux 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) : 0.50 p-value of test : 0.75 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) : 0.58 p-value of test : 0.67 Test on the Nm values of W_{n,i}(mNP1): 0.58 p-value of test : 0.67 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 900 Number of jumps of Y : 928 p-value of test : 0.18 Stat. AD (mNP2) : 1.75 p-value of test : 0.13 Stat. AD after spacings (mNP2-S) : 0.64 p-value of test : 0.61 ----------------------------------------------- CPU time used : 02:40:58.38 Generator state: *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux snpair_ClosePairs test: ----------------------------------------------- N = 20, n = 4000000, r = 0, t = 5, p = 0, m = 30, Torus = TRUE --------------------------------------- Test based on the 2 nearest points (NP): Stat. AD on the N values (NP) : 1.64 p-value of test : 0.15 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) : 0.36 p-value of test : 0.89 Test on the Nm values of W_{n,i}(mNP1): 1.91 p-value of test : 0.10 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 600 Number of jumps of Y : 665 p-value of test : 4.7e-3 Stat. AD (mNP2) : 0.70 p-value of test : 0.56 Stat. AD after spacings (mNP2-S) : 0.32 p-value of test : 0.93 ----------------------------------------------- CPU time used : 01:58:59.30 Generator state: *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux 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) : 1.44 p-value of test : 0.19 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) : 2.18 p-value of test : 0.07 Test on the Nm values of W_{n,i}(mNP1): 0.50 p-value of test : 0.74 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 300 Number of jumps of Y : 306 p-value of test : 0.37 Stat. AD (mNP2) : 0.59 p-value of test : 0.66 Stat. AD after spacings (mNP2-S) : 0.63 p-value of test : 0.62 ----------------------------------------------- CPU time used : 01:27:21.01 Generator state: *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux snpair_ClosePairs test: ----------------------------------------------- N = 5, n = 2000000, r = 0, t = 16, p = 0, m = 30, Torus = TRUE --------------------------------------- Test based on the 2 nearest points (NP): Stat. AD on the N values (NP) : 1.48 p-value of test : 0.18 A2 test based on the spacings between the successive jump times of process Y_n(t): A2 test on the values of A2 (m-NP) : 0.29 p-value of test : 0.95 Test on the Nm values of W_{n,i}(mNP1): 0.96 p-value of test : 0.38 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 150 Number of jumps of Y : 131 p-value of test : 0.94 Stat. AD (mNP2) : 2.04 p-value of test : 0.09 Stat. AD after spacings (mNP2-S) : 0.52 p-value of test : 0.73 ----------------------------------------------- CPU time used : 00:52:40.07 Generator state: *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux sknuth_SimpPoker test: ----------------------------------------------- N = 1, n = 400000000, r = 0, d = 8, k = 8 ----------------------------------------------- Number of degrees of freedom : 7 Chi-square statistic : 8.79 p-value of test : 0.27 ----------------------------------------------- CPU time used : 14:04:48.41 Generator state: *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux sknuth_SimpPoker test: ----------------------------------------------- N = 1, n = 400000000, r = 27, d = 8, k = 8 ----------------------------------------------- Number of degrees of freedom : 7 Chi-square statistic : 4.02 p-value of test : 0.78 ----------------------------------------------- CPU time used : 15:03:45.85 Generator state: *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux sknuth_SimpPoker test: ----------------------------------------------- N = 1, n = 100000000, r = 0, d = 32, k = 32 ----------------------------------------------- Number of degrees of freedom : 18 Chi-square statistic : 20.54 p-value of test : 0.30 ----------------------------------------------- CPU time used : 14:02:24.22 Generator state: *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux sknuth_SimpPoker test: ----------------------------------------------- N = 1, n = 100000000, r = 25, d = 32, k = 32 ----------------------------------------------- Number of degrees of freedom : 18 Chi-square statistic : 24.46 p-value of test : 0.14 ----------------------------------------------- CPU time used : 14:55:41.26 Generator state: *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux sknuth_CouponCollector test: ----------------------------------------------- N = 1, n = 200000000, r = 0, d = 8 ----------------------------------------------- Number of degrees of freedom : 54 Chi-square statistic : 34.55 p-value of test : 0.98 ----------------------------------------------- CPU time used : 19:20:21.95 Generator state: *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux sknuth_CouponCollector test: ----------------------------------------------- N = 1, n = 200000000, r = 10, d = 8 ----------------------------------------------- Number of degrees of freedom : 54 Chi-square statistic : 70.28 p-value of test : 0.07 ----------------------------------------------- CPU time used : 20:41:48.95 Generator state: *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux sknuth_CouponCollector test: ----------------------------------------------- N = 1, n = 200000000, r = 20, d = 8 ----------------------------------------------- Number of degrees of freedom : 54 Chi-square statistic : 58.46 p-value of test : 0.32 ----------------------------------------------- CPU time used : 20:48:09.62 Generator state: *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux sknuth_CouponCollector test: ----------------------------------------------- N = 1, n = 200000000, r = 27, d = 8 ----------------------------------------------- Number of degrees of freedom : 54 Chi-square statistic : 54.64 p-value of test : 0.45 ----------------------------------------------- CPU time used : 20:41:31.06 Generator state: *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux sknuth_Gap test: ----------------------------------------------- N = 1, n = 500000000, r = 0, Alpha = 0, Beta = 0.0625 ----------------------------------------------- Number of degrees of freedom : 232 Chi-square statistic : 241.13 p-value of test : 0.33 ----------------------------------------------- CPU time used : 33:42:26.32 Generator state: *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux sknuth_Gap test: ----------------------------------------------- N = 1, n = 300000000, r = 25, Alpha = 0, Beta = 0.03125 ----------------------------------------------- Number of degrees of freedom : 434 Chi-square statistic : 427.53 p-value of test : 0.58 ----------------------------------------------- CPU time used : 43:07:40.59 Generator state: *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux sknuth_Gap test: ----------------------------------------------- N = 1, n = 100000000, r = 0, Alpha = 0, Beta = 0.0078125 ----------------------------------------------- Number of degrees of freedom : 1437 Chi-square statistic : 1425.14 p-value of test : 0.58 ----------------------------------------------- CPU time used : 53:25:57.02 Generator state: *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux sknuth_Gap test: ----------------------------------------------- N = 1, n = 10000000, r = 20, Alpha = 0, Beta = 0.000976562 ----------------------------------------------- Number of degrees of freedom : 7046 Chi-square statistic : 7186.56 p-value of test : 0.12 ----------------------------------------------- CPU time used : 45:49:41.41 Generator state: *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux sknuth_Run test: ----------------------------------------------- N = 5, n = 1000000000, r = 0, Up = FALSE ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.40 p-value of test : 0.15 Kolmogorov-Smirnov- statistic = D- : 0.19 p-value of test : 0.62 Anderson-Darling statistic = A2 : 0.73 p-value of test : 0.53 Test on the sum of all N observations Number of degrees of freedom : 30 Chi-square statistic : 24.57 p-value of test : 0.75 ----------------------------------------------- CPU time used : 21:09:59.68 Generator state: *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux sknuth_Run test: ----------------------------------------------- N = 10, n = 1000000000, r = 15, Up = TRUE ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.087 p-value of test : 0.82 Kolmogorov-Smirnov- statistic = D- : 0.24 p-value of test : 0.28 Anderson-Darling statistic = A2 : 0.82 p-value of test : 0.46 Test on the sum of all N observations Number of degrees of freedom : 60 Chi-square statistic : 70.82 p-value of test : 0.16 ----------------------------------------------- CPU time used : 45:21:49.95 Generator state: *********************************************************** Test sknuth_Permutation calling smultin_Multinomial *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux 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 : 1.34 p-value of test : 0.93 ----------------------------------------------- CPU time used : 14:47:04.50 Generator state: *********************************************************** Test sknuth_Permutation calling smultin_Multinomial *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux 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 : 143.87 p-value of test : 0.06 ----------------------------------------------- CPU time used : 25:55:21.35 Generator state: *********************************************************** Test sknuth_Permutation calling smultin_Multinomial *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux 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 : 5222.69 p-value of test : 0.03 ----------------------------------------------- CPU time used : 18:57:21.52 Generator state: *********************************************************** Test sknuth_Permutation calling smultin_Multinomial *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux 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 : 0.70 ----------------------------------------------- CPU time used : 30:14:39.25 Generator state: *********************************************************** Test sknuth_CollisionPermut calling smultin_Multinomial *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux 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 : 45891 p-value of test : 0.48 ----------------------------- Total number of cells containing j balls j = 0 : 1743165869891 j = 1 : 399908222 j = 2 : 45883 j = 3 : 4 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 36:36:40.24 Generator state: *********************************************************** Test sknuth_CollisionPermut calling smultin_Multinomial *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux 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 : 46020 p-value of test : 0.26 ----------------------------- Total number of cells containing j balls j = 0 : 1743165870020 j = 1 : 399907963 j = 2 : 46014 j = 3 : 3 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 38:04:51.83 Generator state: *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux 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+ : 0.069 p-value of test : 0.65 Kolmogorov-Smirnov- statistic = D- : 0.16 p-value of test : 0.12 Anderson-Darling statistic = A2 : 1.12 p-value of test : 0.30 Test on the sum of all N observations Number of degrees of freedom : 3999960 Chi-square statistic : 4.00e+6 p-value of test : 0.31 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.071 p-value of test : 0.64 Kolmogorov-Smirnov- statistic = D- : 0.12 p-value of test : 0.28 Anderson-Darling statistic = A2 : 0.40 p-value of test : 0.84 ----------------------------------------------- CPU time used : 15:12:30.20 Generator state: *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux 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+ : 9.19e-3 p-value of test : 0.99 Kolmogorov-Smirnov- statistic = D- : 0.20 p-value of test : 0.08 Anderson-Darling statistic = A2 : 1.97 p-value of test : 0.10 Test on the sum of all N observations Number of degrees of freedom : 2999970 Chi-square statistic : 3.00e+6 p-value of test : 0.03 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.068 p-value of test : 0.72 Kolmogorov-Smirnov- statistic = D- : 0.11 p-value of test : 0.42 Anderson-Darling statistic = A2 : 0.49 p-value of test : 0.75 ----------------------------------------------- CPU time used : 21:09:25.70 Generator state: *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux 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+ : 0.029 p-value of test : 0.95 Kolmogorov-Smirnov- statistic = D- : 0.22 p-value of test : 0.13 Anderson-Darling statistic = A2 : 0.77 p-value of test : 0.50 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 p-value of test : 0.15 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.11 p-value of test : 0.56 Kolmogorov-Smirnov- statistic = D- : 0.15 p-value of test : 0.36 Anderson-Darling statistic = A2 : 0.67 p-value of test : 0.59 ----------------------------------------------- CPU time used : 20:46:18.18 Generator state: *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux 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+ : 0.056 p-value of test : 0.85 Kolmogorov-Smirnov- statistic = D- : 0.19 p-value of test : 0.20 Anderson-Darling statistic = A2 : 0.73 p-value of test : 0.53 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 p-value of test : 0.16 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.099 p-value of test : 0.63 Kolmogorov-Smirnov- statistic = D- : 0.14 p-value of test : 0.42 Anderson-Darling statistic = A2 : 0.96 p-value of test : 0.38 ----------------------------------------------- CPU time used : 27:18:14.16 Generator state: *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux svaria_SampleProd test: ----------------------------------------------- N = 40, n = 10000000, r = 0, t = 8 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.12 p-value of test : 0.29 Kolmogorov-Smirnov- statistic = D- : 0.16 p-value of test : 0.12 Anderson-Darling statistic = A2 : 1.27 p-value of test : 0.24 ----------------------------------------------- CPU time used : 13:01:03.75 Generator state: *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux svaria_SampleProd test: ----------------------------------------------- N = 20, n = 10000000, r = 0, t = 16 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.17 p-value of test : 0.29 Kolmogorov-Smirnov- statistic = D- : 0.097 p-value of test : 0.64 Anderson-Darling statistic = A2 : 0.62 p-value of test : 0.63 ----------------------------------------------- CPU time used : 12:58:41.95 Generator state: *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux svaria_SampleProd test: ----------------------------------------------- N = 20, n = 10000000, r = 0, t = 24 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.048 p-value of test : 0.88 Kolmogorov-Smirnov- statistic = D- : 0.20 p-value of test : 0.19 Anderson-Darling statistic = A2 : 1.10 p-value of test : 0.31 ----------------------------------------------- CPU time used : 19:16:28.87 Generator state: *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux svaria_SampleMean test: ----------------------------------------------- N = 20000000, n = 30, r = 0 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 1.64e-4 p-value of test : 0.34 Kolmogorov-Smirnov- statistic = D- : 1.16e-4 p-value of test : 0.58 Anderson-Darling statistic = A2 : 0.89 p-value of test : 0.42 ----------------------------------------------- CPU time used : 02:27:48.37 Generator state: *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux svaria_SampleMean test: ----------------------------------------------- N = 20000000, n = 30, r = 10 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 5.34e-5 p-value of test : 0.89 Kolmogorov-Smirnov- statistic = D- : 2.35e-4 p-value of test : 0.11 Anderson-Darling statistic = A2 : 0.88 p-value of test : 0.43 ----------------------------------------------- CPU time used : 02:40:15.93 Generator state: *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux svaria_SampleCorr test: ----------------------------------------------- N = 1, n = 2000000000, r = 0, k = 1 ----------------------------------------------- Normal statistic : 0.65 p-value of test : 0.26 ----------------------------------------------- CPU time used : 08:55:54.64 Generator state: *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux svaria_SampleCorr test: ----------------------------------------------- N = 1, n = 2000000000, r = 0, k = 2 ----------------------------------------------- Normal statistic : 0.36 p-value of test : 0.36 ----------------------------------------------- CPU time used : 08:56:36.16 Generator state: *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux 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 : -0.28 p-value of test : 0.61 ----------------------------------------------- CPU time used : 23:15:42.75 Generator state: *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux 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 : 0.98 p-value of test : 0.16 ----------------------------------------------- CPU time used : 23:17:24.45 Generator state: *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux 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 : 61.98 p-value of test : 0.65 ----------------------------------------------- CPU time used : 21:24:48.25 Generator state: *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux 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 : 58.54 p-value of test : 0.76 ----------------------------------------------- CPU time used : 22:50:58.08 Generator state: *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux 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 : 70.71 p-value of test : 0.35 ----------------------------------------------- CPU time used : 22:45:26.37 Generator state: *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux 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 : 33.82 p-value of test : 0.62 ----------------------------------------------- CPU time used : 21:24:49.20 Generator state: *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux 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 : 37.66 p-value of test : 0.44 ----------------------------------------------- CPU time used : 22:50:55.12 Generator state: *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux 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 : 31.28 p-value of test : 0.73 ----------------------------------------------- CPU time used : 22:43:51.50 Generator state: *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux svaria_SumCollector test: ----------------------------------------------- N = 1, n = 500000000, r = 0, g = 10 ----------------------------------------------- Number of degrees of freedom : 29 Chi-square statistic : 26.01 p-value of test : 0.62 ----------------------------------------------- CPU time used : 42:01:15.98 Generator state: *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux smarsa_MatrixRank test: ----------------------------------------------- N = 10, n = 1000000, r = 0, s = 5, L = 30, k = 30 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.16 p-value of test : 0.55 Kolmogorov-Smirnov- statistic = D- : 0.17 p-value of test : 0.52 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 : 40 Chi-square statistic : 37.38 p-value of test : 0.59 ----------------------------------------------- CPU time used : 10:26:13.29 Generator state: *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux smarsa_MatrixRank test: ----------------------------------------------- N = 10, n = 1000000, r = 25, s = 5, L = 30, k = 30 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.32 p-value of test : 0.11 Kolmogorov-Smirnov- statistic = D- : 0.16 p-value of test : 0.55 Anderson-Darling statistic = A2 : 1.29 p-value of test : 0.23 Test on the sum of all N observations Number of degrees of freedom : 40 Chi-square statistic : 28.36 p-value of test : 0.92 ----------------------------------------------- CPU time used : 10:26:06.50 Generator state: *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 5000, r = 0, s = 4, L = 1000, k = 1000 ----------------------------------------------- Number of degrees of freedom : 3 Chi-square statistic : 5.99 p-value of test : 0.11 ----------------------------------------------- CPU time used : 12:01:37.36 Generator state: *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 5000, r = 26, s = 4, L = 1000, k = 1000 ----------------------------------------------- Number of degrees of freedom : 3 Chi-square statistic : 5.62 p-value of test : 0.13 ----------------------------------------------- CPU time used : 12:01:04.20 Generator state: *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 80, r = 15, s = 15, L = 5000, k = 5000 ----------------------------------------------- Number of degrees of freedom : 2 Chi-square statistic : 0.42 p-value of test : 0.81 ----------------------------------------------- CPU time used : 02:36:34.96 Generator state: *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 80, r = 0, s = 30, L = 5000, k = 5000 ----------------------------------------------- Number of degrees of freedom : 2 Chi-square statistic : 0.21 p-value of test : 0.90 ----------------------------------------------- CPU time used : 01:29:16.19 Generator state: *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux smarsa_Savir2 test: ----------------------------------------------- N = 10, n = 10000000, r = 10, m = 1048576, t = 30 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.34 p-value of test : 0.07 Kolmogorov-Smirnov- statistic = D- : 0.065 p-value of test : 0.88 Anderson-Darling statistic = A2 : 1.60 p-value of test : 0.16 Test on the sum of all N observations Number of degrees of freedom : 130 Chi-square statistic : 108.35 p-value of test : 0.92 ----------------------------------------------- CPU time used : 13:16:29.91 Generator state: *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux smarsa_GCD test: ----------------------------------------------- N = 10, n = 50000000, r = 0, s = 30 ----------------------------------------------- Test results for GCD values: Kolmogorov-Smirnov+ statistic = D+ : 0.12 p-value of test : 0.71 Kolmogorov-Smirnov- statistic = D- : 0.14 p-value of test : 0.61 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 : 17430 Chi-square statistic :17518.16 p-value of test : 0.32 ----------------------------------------------- CPU time used : 08:40:42.11 Generator state: *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux 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 : 34.68 p-value of test : 0.53 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 ChiSquare statistic : 32.53 p-value of test : 0.59 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 ChiSquare statistic : 26.01 p-value of test : 0.41 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 ChiSquare statistic : 20.66 p-value of test : 0.66 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 ChiSquare statistic : 17.77 p-value of test : 0.40 ----------------------------------------------- CPU time used : 06:55:19.71 Generator state: *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux 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 : 39.10 p-value of test : 0.33 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 ChiSquare statistic : 28.98 p-value of test : 0.75 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 ChiSquare statistic : 13.04 p-value of test : 0.98 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 ChiSquare statistic : 21.81 p-value of test : 0.59 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 ChiSquare statistic : 18.45 p-value of test : 0.36 ----------------------------------------------- CPU time used : 06:58:30.95 Generator state: *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux 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 : 171.71 p-value of test : 0.07 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 ChiSquare statistic : 160.99 p-value of test : 0.19 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 ChiSquare statistic : 570.23 p-value of test : 0.02 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 ChiSquare statistic : 126.56 p-value of test : 0.71 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 ChiSquare statistic : 72.32 p-value of test : 0.53 ----------------------------------------------- CPU time used : 08:37:51.24 Generator state: *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux 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 : 164.17 p-value of test : 0.14 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 ChiSquare statistic : 159.30 p-value of test : 0.21 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 ChiSquare statistic : 502.19 p-value of test : 0.46 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 ChiSquare statistic : 130.91 p-value of test : 0.61 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 ChiSquare statistic : 72.92 p-value of test : 0.51 ----------------------------------------------- CPU time used : 08:47:49.03 Generator state: *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux 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 : 390.63 p-value of test : 0.40 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 ChiSquare statistic : 410.61 p-value of test : 0.17 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 ChiSquare statistic : 5059.06 p-value of test : 0.28 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 ChiSquare statistic : 351.46 p-value of test : 0.83 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 ChiSquare statistic : 202.88 p-value of test : 0.43 ----------------------------------------------- CPU time used : 07:06:43.34 Generator state: *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux 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 : 378.74 p-value of test : 0.57 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 ChiSquare statistic : 425.42 p-value of test : 0.07 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 ChiSquare statistic : 4935.30 p-value of test : 0.74 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 ChiSquare statistic : 387.68 p-value of test : 0.35 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 ChiSquare statistic : 201.34 p-value of test : 0.46 ----------------------------------------------- CPU time used : 07:09:01.71 Generator state: *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux scomp_LinearComp test: ----------------------------------------------- N = 1, n = 400020, r = 0, s = 1 ----------------------------------------------- Number of degrees of freedom : 12 Chi2 statistic for size of jumps : 10.34 p-value of test : 0.59 ----------------------------------------------- Normal statistic for number of jumps : 1.67 p-value of test : 0.05 ----------------------------------------------- CPU time used : 00:06:58.53 Generator state: *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux scomp_LinearComp test: ----------------------------------------------- N = 1, n = 400020, r = 29, s = 1 ----------------------------------------------- Number of degrees of freedom : 12 Chi2 statistic for size of jumps : 16.35 p-value of test : 0.18 ----------------------------------------------- Normal statistic for number of jumps : -0.78 p-value of test : 0.78 ----------------------------------------------- CPU time used : 00:06:55.96 Generator state: *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux scomp_LempelZiv test: ----------------------------------------------- N = 10, n = 134217728, r = 0, s = 30, k = 27 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.19 p-value of test : 0.43 Kolmogorov-Smirnov- statistic = D- : 0.22 p-value of test : 0.34 Anderson-Darling statistic = A2 : 0.84 p-value of test : 0.45 Tests on the sum of all N observations Standardized normal statistic : 0.47 p-value of test : 0.32 Sample variance : 0.36 p-value of test : 0.95 ----------------------------------------------- CPU time used : 04:00:42.51 Generator state: *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux scomp_LempelZiv test: ----------------------------------------------- N = 10, n = 134217728, r = 15, s = 15, k = 27 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.25 p-value of test : 0.24 Kolmogorov-Smirnov- statistic = D- : 0.17 p-value of test : 0.52 Anderson-Darling statistic = A2 : 1.16 p-value of test : 0.28 Tests on the sum of all N observations Standardized normal statistic : -1.26 p-value of test : 0.90 Sample variance : 1.73 p-value of test : 0.08 ----------------------------------------------- CPU time used : 04:24:01.73 Generator state: *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux sspectral_Fourier3 test: ----------------------------------------------- N = 100000, n = 16384, r = 0, s = 3, k = 14 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.016 p-value of test : 0.12 Kolmogorov-Smirnov- statistic = D- : 7.58e-3 p-value of test : 0.62 Anderson-Darling statistic = A2 : 0.98 p-value of test : 0.37 ----------------------------------------------- CPU time used : 03:55:10.38 Generator state: *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux sspectral_Fourier3 test: ----------------------------------------------- N = 100000, n = 16384, r = 27, s = 3, k = 14 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 3.21e-3 p-value of test : 0.92 Kolmogorov-Smirnov- statistic = D- : 0.012 p-value of test : 0.30 Anderson-Darling statistic = A2 : 0.74 p-value of test : 0.53 ----------------------------------------------- CPU time used : 03:56:57.19 Generator state: *********************************************************** HOST = knlhost054.sdcc.bnl.local, Linux cgpt_ranlux sstring_LongestHeadRun test: ----------------------------------------------- N = 1, n = 1000, r = 0, s = 3, L = 10000020