xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx Starting SmallCrush Version: TestU01 1.2.3 xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system 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 : 33 p-value of test : 0.15 ----------------------------------------------- CPU time used : 00:00:04.53 Generator state: *********************************************************** Test sknuth_Collision calling smultin_Multinomial *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system 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 : 2832 p-value of test : 0.92 ----------------------------- Total number of cells containing j balls j = 0 : 4289970128 j = 1 : 4994337 j = 2 : 2830 j = 3 : 1 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:00:04.46 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sknuth_Gap test: ----------------------------------------------- N = 1, n = 200000, r = 22, Alpha = 0, Beta = 0.00390625 ----------------------------------------------- Number of degrees of freedom : 1114 Chi-square statistic : 1111.21 p-value of test : 0.52 ----------------------------------------------- CPU time used : 00:00:18.17 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sknuth_SimpPoker test: ----------------------------------------------- N = 1, n = 400000, r = 24, d = 64, k = 64 ----------------------------------------------- Number of degrees of freedom : 19 Chi-square statistic : 13.37 p-value of test : 0.82 ----------------------------------------------- CPU time used : 00:00:09.21 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sknuth_CouponCollector test: ----------------------------------------------- N = 1, n = 500000, r = 26, d = 16 ----------------------------------------------- Number of degrees of freedom : 44 Chi-square statistic : 46.75 p-value of test : 0.36 ----------------------------------------------- CPU time used : 00:00:09.95 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system 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 : 1.01e+5 p-value of test : 4.4e-3 ----------------------------------------------- Anderson-Darling statistic : 0.36 p-value of test : 0.64 ----------------------------------------------- CPU time used : 00:00:04.82 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system 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 : 50.20 p-value of test : 0.15 ----------------------------------------------- CPU time used : 00:00:17.93 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 20000, r = 20, s = 10, L = 60, k = 60 ----------------------------------------------- Number of degrees of freedom : 3 Chi-square statistic : 5.26 p-value of test : 0.15 ----------------------------------------------- CPU time used : 00:00:02.92 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system 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 : 2191.27 p-value of test : 0.60 ----------------------------------------------- CPU time used : 00:00:10.70 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system 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 : 41.39 p-value of test : 0.85 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 52 ChiSquare statistic : 40.67 p-value of test : 0.87 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 75 ChiSquare statistic : 65.62 p-value of test : 0.77 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 44 ChiSquare statistic : 51.02 p-value of test : 0.22 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 26 ChiSquare statistic : 22.64 p-value of test : 0.65 ----------------------------------------------- CPU time used : 00:00:02.76 Generator state: ========= Summary results of SmallCrush ========= Version: TestU01 1.2.3 Generator: anti_control_for_6D_discrete_time_system Number of statistics: 15 Total CPU time: 00:01:25.46 All tests were passed xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx Starting Crush Version: TestU01 1.2.3 xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx *********************************************************** Test smarsa_SerialOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 1, n = 500000000, r = 0, d = 4096, t = 2, Sparse = FALSE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 16777216 Expected number per cell = 29.802322 Hashing = FALSE For Delta > -1, we use the ChiSquare approximation Correction factor of the ChiSquare: Delta = 1, Mu = 0.01677312, Sigma = 1 ----------------------------------------------- Test Results for Delta = 1.0000 Number of degrees of freedom : 16773120 Value of the statistic : 1.68e+7 p-value of test : 0.09 ----------------------------------------------- CPU time used : 00:03:42.51 Generator state: *********************************************************** Test smarsa_SerialOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 1, n = 300000000, r = 0, d = 64, t = 4, Sparse = FALSE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 16777216 Expected number per cell = 17.881393 Hashing = FALSE For Delta > -1, we use the ChiSquare approximation Correction factor of the ChiSquare: Delta = 1, Mu = 0.027525119, Sigma = 1 ----------------------------------------------- Test Results for Delta = 1.0000 Number of degrees of freedom : 16515072 Value of the statistic : 1.65e+7 p-value of test : 0.88 ----------------------------------------------- CPU time used : 00:02:14.72 Generator state: *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 10, n = 10000000, r = 0, d = 1048576, t = 2, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1099511627776 Expected number per cell = 1 / 109951.16 EColl = n^2 / (2k) = 45.47473509 Hashing = TRUE Collision test CollisionOver: density = n / k = 1 / 109951.16 Expected number of collisions = Mu = 45.47 ----------------------------------------------- Results of CollisionOver test: POISSON approximation : Expected number of collisions = N*Mu : 454.75 Observed number of collisions : 468 p-value of test : 0.27 ----------------------------- Total number of cells containing j balls j = 0 : 10995016278228 j = 1 : 99999064 j = 2 : 468 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:01:13.96 Generator state: *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 10, n = 10000000, r = 10, d = 1048576, t = 2, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1099511627776 Expected number per cell = 1 / 109951.16 EColl = n^2 / (2k) = 45.47473509 Hashing = TRUE Collision test CollisionOver: density = n / k = 1 / 109951.16 Expected number of collisions = Mu = 45.47 ----------------------------------------------- Results of CollisionOver test: POISSON approximation : Expected number of collisions = N*Mu : 454.75 Observed number of collisions : 475 p-value of test : 0.18 ----------------------------- Total number of cells containing j balls j = 0 : 10995016278235 j = 1 : 99999050 j = 2 : 475 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:01:14.34 Generator state: *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 10, n = 10000000, r = 0, d = 1024, t = 4, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1099511627776 Expected number per cell = 1 / 109951.16 EColl = n^2 / (2k) = 45.47473509 Hashing = TRUE Collision test CollisionOver: density = n / k = 1 / 109951.16 Expected number of collisions = Mu = 45.47 ----------------------------------------------- Results of CollisionOver test: POISSON approximation : Expected number of collisions = N*Mu : 454.75 Observed number of collisions : 443 p-value of test : 0.70 ----------------------------- Total number of cells containing j balls j = 0 : 10995016278203 j = 1 : 99999114 j = 2 : 443 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:01:22.11 Generator state: *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 10, n = 10000000, r = 20, d = 1024, t = 4, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1099511627776 Expected number per cell = 1 / 109951.16 EColl = n^2 / (2k) = 45.47473509 Hashing = TRUE Collision test CollisionOver: density = n / k = 1 / 109951.16 Expected number of collisions = Mu = 45.47 ----------------------------------------------- Results of CollisionOver test: POISSON approximation : Expected number of collisions = N*Mu : 454.75 Observed number of collisions : 442 p-value of test : 0.72 ----------------------------- Total number of cells containing j balls j = 0 : 10995016278202 j = 1 : 99999116 j = 2 : 442 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:01:23.53 Generator state: *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 10, n = 10000000, r = 0, d = 32, t = 8, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1099511627776 Expected number per cell = 1 / 109951.16 EColl = n^2 / (2k) = 45.47473509 Hashing = TRUE Collision test CollisionOver: density = n / k = 1 / 109951.16 Expected number of collisions = Mu = 45.47 ----------------------------------------------- Results of CollisionOver test: POISSON approximation : Expected number of collisions = N*Mu : 454.75 Observed number of collisions : 484 p-value of test : 0.09 ----------------------------- Total number of cells containing j balls j = 0 : 10995016278244 j = 1 : 99999032 j = 2 : 484 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:01:23.11 Generator state: *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 10, n = 10000000, r = 25, d = 32, t = 8, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1099511627776 Expected number per cell = 1 / 109951.16 EColl = n^2 / (2k) = 45.47473509 Hashing = TRUE Collision test CollisionOver: density = n / k = 1 / 109951.16 Expected number of collisions = Mu = 45.47 ----------------------------------------------- Results of CollisionOver test: POISSON approximation : Expected number of collisions = N*Mu : 454.75 Observed number of collisions : 443 p-value of test : 0.70 ----------------------------- Total number of cells containing j balls j = 0 : 10995016278203 j = 1 : 99999114 j = 2 : 443 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:01:22.65 Generator state: *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 10, n = 10000000, r = 0, d = 4, t = 20, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1099511627776 Expected number per cell = 1 / 109951.16 EColl = n^2 / (2k) = 45.47473509 Hashing = TRUE Collision test CollisionOver: density = n / k = 1 / 109951.16 Expected number of collisions = Mu = 45.47 ----------------------------------------------- Results of CollisionOver test: POISSON approximation : Expected number of collisions = N*Mu : 454.74 Observed number of collisions : 502 p-value of test : 0.02 ----------------------------- Total number of cells containing j balls j = 0 : 10995016278262 j = 1 : 99998996 j = 2 : 502 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:01:21.82 Generator state: *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 10, n = 10000000, r = 28, d = 4, t = 20, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1099511627776 Expected number per cell = 1 / 109951.16 EColl = n^2 / (2k) = 45.47473509 Hashing = TRUE Collision test CollisionOver: density = n / k = 1 / 109951.16 Expected number of collisions = Mu = 45.47 ----------------------------------------------- Results of CollisionOver test: POISSON approximation : Expected number of collisions = N*Mu : 454.74 Observed number of collisions : 419 p-value of test : 0.95 ----------------------------- Total number of cells containing j balls j = 0 : 10995016278179 j = 1 : 99999162 j = 2 : 419 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:01:23.29 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smarsa_BirthdaySpacings test: ----------------------------------------------- N = 5, n = 20000000, r = 0, d = 2147483648, t = 2, p = 1 Number of cells = d^t = 4611686018427387904 Lambda = Poisson mean = 433.6809 ---------------------------------------------------- Total expected number = N*Lambda : 2168.40 Total observed number : 2173 p-value of test : 0.46 ----------------------------------------------- CPU time used : 00:01:30.40 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smarsa_BirthdaySpacings test: ----------------------------------------------- N = 5, 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 : 1084.20 Total observed number : 1085 p-value of test : 0.49 ----------------------------------------------- CPU time used : 00:02:05.07 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smarsa_BirthdaySpacings test: ----------------------------------------------- N = 5, n = 20000000, r = 0, d = 65536, t = 4, p = 1 Number of cells = d^t = 18446744073709551616 Lambda = Poisson mean = 108.4202 ---------------------------------------------------- Total expected number = N*Lambda : 542.10 Total observed number : 560 p-value of test : 0.23 ----------------------------------------------- CPU time used : 00:02:39.74 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smarsa_BirthdaySpacings test: ----------------------------------------------- N = 3, 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 : 650.52 Total observed number : 615 p-value of test : 0.92 ----------------------------------------------- CPU time used : 00:02:38.14 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smarsa_BirthdaySpacings test: ----------------------------------------------- N = 3, 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 : 650.52 Total observed number : 679 p-value of test : 0.14 ----------------------------------------------- CPU time used : 00:02:40.11 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smarsa_BirthdaySpacings test: ----------------------------------------------- N = 3, n = 20000000, r = 14, d = 256, t = 8, p = 1 Number of cells = d^t = 18446744073709551616 Lambda = Poisson mean = 108.4202 ---------------------------------------------------- Total expected number = N*Lambda : 325.26 Total observed number : 307 p-value of test : 0.84 ----------------------------------------------- CPU time used : 00:03:01.45 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smarsa_BirthdaySpacings test: ----------------------------------------------- N = 3, n = 20000000, r = 22, d = 256, t = 8, p = 1 Number of cells = d^t = 18446744073709551616 Lambda = Poisson mean = 108.4202 ---------------------------------------------------- Total expected number = N*Lambda : 325.26 Total observed number : 304 p-value of test : 0.88 ----------------------------------------------- CPU time used : 00:03:01.71 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system snpair_ClosePairs test: ----------------------------------------------- N = 10, n = 2000000, r = 0, t = 2, 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) : 1.84 p-value of test : 0.11 Test on the Nm values of W_{n,i}(mNP1): 0.81 p-value of test : 0.47 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 300 Number of jumps of Y : 302 p-value of test : 0.46 Stat. AD (mNP2) : 0.85 p-value of test : 0.45 ----------------------------------------------- CPU time used : 00:00:22.96 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system snpair_ClosePairs test: ----------------------------------------------- N = 10, n = 2000000, 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) : 0.89 p-value of test : 0.41 A2 test based on the spacings between the successive jump times of process Y_n(t): A2 test on the values of A2 (m-NP) : 0.37 p-value of test : 0.88 Test on the Nm values of W_{n,i}(mNP1): 1.97 p-value of test : 0.10 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 300 Number of jumps of Y : 278 p-value of test : 0.89 Stat. AD (mNP2) : 4.24 p-value of test : 6.7e-3 Stat. AD after spacings (mNP2-S) : 1.05 p-value of test : 0.33 ----------------------------------------------- CPU time used : 00:00:34.38 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system snpair_ClosePairs test: ----------------------------------------------- N = 5, n = 2000000, r = 0, t = 7, p = 0, m = 30, Torus = TRUE --------------------------------------- Test based on the 2 nearest points (NP): Stat. AD on the N values (NP) : 0.67 p-value of test : 0.57 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) : 0.65 p-value of test : 0.59 Test on the Nm values of W_{n,i}(mNP1): 1.85 p-value of test : 0.11 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 150 Number of jumps of Y : 170 p-value of test : 0.06 Stat. AD (mNP2) : 2.02 p-value of test : 0.09 Stat. AD after spacings (mNP2-S) : 1.18 p-value of test : 0.27 ----------------------------------------------- CPU time used : 00:00:47.82 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system snpair_ClosePairsBitMatch test: ----------------------------------------------- N = 4, n = 4000000, r = 0, t = 2 ----------------------------------------------- Max of all bit distances : 23.00 p-value of test : 0.11 ----------------------------------------------- CPU time used : 00:00:20.92 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system snpair_ClosePairsBitMatch test: ----------------------------------------------- N = 2, n = 4000000, r = 0, t = 4 ----------------------------------------------- Max of all bit distances : 11.00 p-value of test : 0.06 ----------------------------------------------- CPU time used : 00:00:19.76 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sknuth_SimpPoker test: ----------------------------------------------- N = 1, n = 40000000, r = 0, d = 16, k = 16 ----------------------------------------------- Number of degrees of freedom : 12 Chi-square statistic : 25.74 p-value of test : 0.01 ----------------------------------------------- CPU time used : 00:03:46.46 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sknuth_SimpPoker test: ----------------------------------------------- N = 1, n = 40000000, r = 26, d = 16, k = 16 ----------------------------------------------- Number of degrees of freedom : 12 Chi-square statistic : 16.53 p-value of test : 0.17 ----------------------------------------------- CPU time used : 00:03:49.53 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sknuth_SimpPoker test: ----------------------------------------------- N = 1, n = 10000000, r = 0, d = 64, k = 64 ----------------------------------------------- Number of degrees of freedom : 23 Chi-square statistic : 27.19 p-value of test : 0.25 ----------------------------------------------- CPU time used : 00:03:46.30 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sknuth_SimpPoker test: ----------------------------------------------- N = 1, n = 10000000, r = 24, d = 64, k = 64 ----------------------------------------------- Number of degrees of freedom : 23 Chi-square statistic : 39.49 p-value of test : 0.02 ----------------------------------------------- CPU time used : 00:03:49.11 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sknuth_CouponCollector test: ----------------------------------------------- N = 1, n = 40000000, r = 0, d = 4 ----------------------------------------------- Number of degrees of freedom : 51 Chi-square statistic : 42.15 p-value of test : 0.81 ----------------------------------------------- CPU time used : 00:02:02.80 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sknuth_CouponCollector test: ----------------------------------------------- N = 1, n = 40000000, r = 28, d = 4 ----------------------------------------------- Number of degrees of freedom : 51 Chi-square statistic : 53.47 p-value of test : 0.38 ----------------------------------------------- CPU time used : 00:02:04.59 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sknuth_CouponCollector test: ----------------------------------------------- N = 1, n = 10000000, r = 0, d = 16 ----------------------------------------------- Number of degrees of freedom : 46 Chi-square statistic : 57.56 p-value of test : 0.12 ----------------------------------------------- CPU time used : 00:03:01.61 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sknuth_CouponCollector test: ----------------------------------------------- N = 1, n = 10000000, r = 26, d = 16 ----------------------------------------------- Number of degrees of freedom : 46 Chi-square statistic : 39.04 p-value of test : 0.76 ----------------------------------------------- CPU time used : 00:03:04.01 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sknuth_Gap test: ----------------------------------------------- N = 1, n = 100000000, r = 0, Alpha = 0, Beta = 0.125 ----------------------------------------------- Number of degrees of freedom : 106 Chi-square statistic : 118.67 p-value of test : 0.19 ----------------------------------------------- CPU time used : 00:04:37.44 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sknuth_Gap test: ----------------------------------------------- N = 1, n = 100000000, r = 27, Alpha = 0, Beta = 0.125 ----------------------------------------------- Number of degrees of freedom : 106 Chi-square statistic : 106.49 p-value of test : 0.47 ----------------------------------------------- CPU time used : 00:04:40.56 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sknuth_Gap test: ----------------------------------------------- N = 1, n = 5000000, r = 0, Alpha = 0, Beta = 0.00390625 ----------------------------------------------- Number of degrees of freedom : 1936 Chi-square statistic : 1972.79 p-value of test : 0.27 ----------------------------------------------- CPU time used : 00:07:22.39 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sknuth_Gap test: ----------------------------------------------- N = 1, n = 5000000, r = 22, Alpha = 0, Beta = 0.00390625 ----------------------------------------------- Number of degrees of freedom : 1936 Chi-square statistic : 1888.34 p-value of test : 0.78 ----------------------------------------------- CPU time used : 00:07:26.61 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sknuth_Run test: ----------------------------------------------- N = 1, n = 500000000, r = 0, Up = TRUE ----------------------------------------------- Number of degrees of freedom : 6 Chi-square statistic : 2.52 p-value of test : 0.87 ----------------------------------------------- CPU time used : 00:02:55.68 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sknuth_Run test: ----------------------------------------------- N = 1, n = 500000000, r = 15, Up = FALSE ----------------------------------------------- Number of degrees of freedom : 6 Chi-square statistic : 9.72 p-value of test : 0.14 ----------------------------------------------- CPU time used : 00:03:21.77 Generator state: *********************************************************** Test sknuth_Permutation calling smultin_Multinomial *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_Multinomial test: ----------------------------------------------- N = 1, n = 50000000, r = 0, t = 10, Sparse = FALSE GenerCell = smultin_GenerCellPermut Number of cells = t! = 3628800 Expected number per cell = 13.77866 Hashing = FALSE For Delta > -1, we use the ChiSquare approximation Correction factor of the ChiSquare: Delta = 1, Mu = 0.03628799, Sigma = 1 ----------------------------------------------- Test Results for Delta = 1.0000 Number of degrees of freedom : 3628799 Value of the statistic : 3.64e+6 p-value of test : 9.9e-3 ----------------------------------------------- CPU time used : 00:03:04.39 Generator state: *********************************************************** Test sknuth_Permutation calling smultin_Multinomial *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_Multinomial test: ----------------------------------------------- N = 1, n = 50000000, r = 15, t = 10, Sparse = FALSE GenerCell = smultin_GenerCellPermut Number of cells = t! = 3628800 Expected number per cell = 13.77866 Hashing = FALSE For Delta > -1, we use the ChiSquare approximation Correction factor of the ChiSquare: Delta = 1, Mu = 0.03628799, 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 : 0.21 ----------------------------------------------- CPU time used : 00:03:06.35 Generator state: *********************************************************** Test sknuth_CollisionPermut calling smultin_Multinomial *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_Multinomial test: ----------------------------------------------- N = 5, n = 10000000, r = 0, t = 13, Sparse = TRUE GenerCell = smultin_GenerCellPermut Number of cells = t! = 6227020800 Expected number per cell = 1 / 622.70208 EColl = n^2 / (2k) = 8029.521918 Hashing = TRUE Collision test, Mu = 8025.2245, Sigma = 89.5098 ----------------------------------------------- Test Results for Collisions For the total number of collisions, we use the Poisson approximation: Expected number of collisions = N*Mu : 40126.12 Observed number of collisions : 40494 p-value of test : 0.03 ----------------------------- Total number of cells containing j balls j = 0 : 31085144494 j = 1 : 49919026 j = 2 : 40466 j = 3 : 14 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:04:08.31 Generator state: *********************************************************** Test sknuth_CollisionPermut calling smultin_Multinomial *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_Multinomial test: ----------------------------------------------- N = 5, n = 10000000, r = 15, t = 13, Sparse = TRUE GenerCell = smultin_GenerCellPermut Number of cells = t! = 6227020800 Expected number per cell = 1 / 622.70208 EColl = n^2 / (2k) = 8029.521918 Hashing = TRUE Collision test, Mu = 8025.2245, Sigma = 89.5098 ----------------------------------------------- Test Results for Collisions For the total number of collisions, we use the Poisson approximation: Expected number of collisions = N*Mu : 40126.12 Observed number of collisions : 40239 p-value of test : 0.29 ----------------------------- Total number of cells containing j balls j = 0 : 31085144239 j = 1 : 49919543 j = 2 : 40197 j = 3 : 21 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:04:10.35 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sknuth_MaxOft test: ----------------------------------------------- N = 10, n = 10000000, r = 0, d = 100000, t = 5 Number of categories = 100000 Expected number per category = 100.00 ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: Kolmogorov-Smirnov+ statistic = D+ : 0.14 p-value of test : 0.63 Kolmogorov-Smirnov- statistic = D- : 0.27 p-value of test : 0.20 Anderson-Darling statistic = A2 : 0.75 p-value of test : 0.51 Test on the sum of all N observations Number of degrees of freedom : 999990 Chi-square statistic : 1.00e+6 p-value of test : 0.29 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.16 p-value of test : 0.54 Kolmogorov-Smirnov- statistic = D- : 0.21 p-value of test : 0.38 Anderson-Darling statistic = A2 : 0.65 p-value of test : 0.60 ----------------------------------------------- CPU time used : 00:03:26.68 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sknuth_MaxOft test: ----------------------------------------------- N = 5, n = 10000000, r = 0, d = 100000, t = 10 Number of categories = 100000 Expected number per category = 100.00 ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: Kolmogorov-Smirnov+ statistic = D+ : 0.34 p-value of test : 0.25 Kolmogorov-Smirnov- statistic = D- : 0.061 p-value of test : 0.92 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 : 499995 Chi-square statistic : 4.99e+5 p-value of test : 0.80 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.32 p-value of test : 0.30 Kolmogorov-Smirnov- statistic = D- : 0.038 p-value of test : 0.96 Anderson-Darling statistic = A2 : 0.95 p-value of test : 0.38 ----------------------------------------------- CPU time used : 00:03:10.00 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sknuth_MaxOft test: ----------------------------------------------- N = 1, n = 10000000, r = 0, d = 100000, t = 20 Number of categories = 100000 Expected number per category = 100.00 ----------------------------------------------- Number of degrees of freedom : 99999 Chi-square statistic :99910.36 p-value of test : 0.58 ----------------------------------------------- Anderson-Darling statistic : 0.66 p-value of test : 0.34 ----------------------------------------------- CPU time used : 00:01:12.56 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sknuth_MaxOft test: ----------------------------------------------- N = 1, n = 10000000, r = 0, d = 100000, t = 30 Number of categories = 100000 Expected number per category = 100.00 ----------------------------------------------- Number of degrees of freedom : 99999 Chi-square statistic :99213.80 p-value of test : 0.96 ----------------------------------------------- Anderson-Darling statistic : 0.77 p-value of test : 0.23 ----------------------------------------------- CPU time used : 00:01:47.64 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system svaria_SampleProd test: ----------------------------------------------- N = 1, n = 10000000, r = 0, t = 10 ----------------------------------------------- Anderson-Darling statistic : 0.086 p-value of test : 0.91 ----------------------------------------------- CPU time used : 00:00:37.26 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system svaria_SampleProd test: ----------------------------------------------- N = 1, n = 10000000, r = 0, t = 30 ----------------------------------------------- Anderson-Darling statistic : 0.81 p-value of test : 0.19 ----------------------------------------------- CPU time used : 00:01:47.64 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system svaria_SampleMean test: ----------------------------------------------- N = 10000000, n = 20, r = 0 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 3.56e-4 p-value of test : 0.08 Kolmogorov-Smirnov- statistic = D- : 1.07e-4 p-value of test : 0.80 Anderson-Darling statistic = A2 : 1.44 p-value of test : 0.19 ----------------------------------------------- CPU time used : 00:01:17.19 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system svaria_SampleCorr test: ----------------------------------------------- N = 1, n = 500000000, r = 0, k = 1 ----------------------------------------------- Normal statistic : 2.10 p-value of test : 0.02 ----------------------------------------------- CPU time used : 00:02:53.73 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system svaria_AppearanceSpacings test: ----------------------------------------------- N = 1, Q = 10000000, K = 400000000, r = 0, s = 30, L = 15 Sequences of n = (K + Q)L = 6150000000 bits Q = 10000000 initialization blocks K = 400000000 blocks for the test the blocks have L = 15 bits ----------------------------------------------- Normal statistic : 0.40 p-value of test : 0.35 ----------------------------------------------- CPU time used : 00:01:34.71 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system svaria_AppearanceSpacings test: ----------------------------------------------- N = 1, Q = 10000000, K = 100000000, r = 20, s = 10, L = 15 Sequences of n = (K + Q)L = 1650000000 bits Q = 10000000 initialization blocks K = 100000000 blocks for the test the blocks have L = 15 bits ----------------------------------------------- Normal statistic : -1.13 p-value of test : 0.87 ----------------------------------------------- CPU time used : 00:01:21.23 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system svaria_WeightDistrib test: ----------------------------------------------- N = 1, n = 2000000, r = 0, k = 256, Alpha = 0, Beta = 0.125 ----------------------------------------------- Number of degrees of freedom : 46 Chi-square statistic : 71.92 p-value of test : 8.6e-3 ----------------------------------------------- CPU time used : 00:02:57.52 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system svaria_WeightDistrib test: ----------------------------------------------- N = 1, n = 2000000, r = 8, k = 256, Alpha = 0, Beta = 0.125 ----------------------------------------------- Number of degrees of freedom : 46 Chi-square statistic : 60.45 p-value of test : 0.07 ----------------------------------------------- CPU time used : 00:02:59.25 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system svaria_WeightDistrib test: ----------------------------------------------- N = 1, n = 2000000, r = 16, k = 256, Alpha = 0, Beta = 0.125 ----------------------------------------------- Number of degrees of freedom : 46 Chi-square statistic : 38.24 p-value of test : 0.78 ----------------------------------------------- CPU time used : 00:02:59.23 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system svaria_WeightDistrib test: ----------------------------------------------- N = 1, n = 2000000, r = 24, k = 256, Alpha = 0, Beta = 0.125 ----------------------------------------------- Number of degrees of freedom : 46 Chi-square statistic : 59.15 p-value of test : 0.09 ----------------------------------------------- CPU time used : 00:02:59.28 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system svaria_SumCollector test: ----------------------------------------------- N = 1, n = 20000000, r = 0, g = 10 ----------------------------------------------- Number of degrees of freedom : 25 Chi-square statistic : 23.81 p-value of test : 0.53 ----------------------------------------------- CPU time used : 00:02:23.29 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 1000000, r = 0, s = 30, L = 60, k = 60 ----------------------------------------------- Number of degrees of freedom : 4 Chi-square statistic : 0.68 p-value of test : 0.95 ----------------------------------------------- CPU time used : 00:01:02.32 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 1000000, r = 20, s = 10, L = 60, k = 60 ----------------------------------------------- Number of degrees of freedom : 4 Chi-square statistic : 2.70 p-value of test : 0.61 ----------------------------------------------- CPU time used : 00:02:26.00 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 50000, r = 0, s = 30, L = 300, k = 300 ----------------------------------------------- Number of degrees of freedom : 3 Chi-square statistic : 3.09 p-value of test : 0.38 ----------------------------------------------- CPU time used : 00:01:28.61 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 50000, r = 20, s = 10, L = 300, k = 300 ----------------------------------------------- Number of degrees of freedom : 3 Chi-square statistic : 4.70 p-value of test : 0.20 ----------------------------------------------- CPU time used : 00:03:20.90 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 2000, r = 0, s = 30, L = 1200, k = 1200 ----------------------------------------------- Number of degrees of freedom : 3 Chi-square statistic : 8.06 p-value of test : 0.04 ----------------------------------------------- CPU time used : 00:01:28.82 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 2000, r = 20, s = 10, L = 1200, k = 1200 ----------------------------------------------- Number of degrees of freedom : 3 Chi-square statistic : 2.04 p-value of test : 0.56 ----------------------------------------------- CPU time used : 00:02:57.19 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smarsa_Savir2 test: ----------------------------------------------- N = 1, n = 20000000, r = 0, m = 1048576, t = 30 ----------------------------------------------- Number of degrees of freedom : 17 Chi-square statistic : 14.31 p-value of test : 0.65 ----------------------------------------------- CPU time used : 00:03:27.90 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smarsa_GCD test: ----------------------------------------------- N = 1, n = 100000000, r = 0, s = 30 ----------------------------------------------- Number of degrees of freedom : 2465 Chi2 statistic for GCD values : 2531.42 p-value of test : 0.17 ----------------------------------------------- CPU time used : 00:01:28.36 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smarsa_GCD test: ----------------------------------------------- N = 1, n = 40000000, r = 10, s = 20 ----------------------------------------------- Number of degrees of freedom : 1559 Chi2 statistic for GCD values : 1546.40 p-value of test : 0.58 ----------------------------------------------- CPU time used : 00:00:32.86 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system swalk_RandomWalk1 test: ----------------------------------------------- N = 1, n = 50000000, r = 0, s = 30, L0 = 90, L1 = 90 ----------------------------------------------- Test on the values of the Statistic H Number of degrees of freedom : 46 ChiSquare statistic : 34.92 p-value of test : 0.88 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 47 ChiSquare statistic : 45.49 p-value of test : 0.54 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 45 ChiSquare statistic : 37.14 p-value of test : 0.79 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 36 ChiSquare statistic : 44.33 p-value of test : 0.16 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 23 ChiSquare statistic : 24.70 p-value of test : 0.37 ----------------------------------------------- CPU time used : 00:01:23.26 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system swalk_RandomWalk1 test: ----------------------------------------------- N = 1, n = 10000000, r = 20, s = 10, L0 = 90, L1 = 90 ----------------------------------------------- Test on the values of the Statistic H Number of degrees of freedom : 44 ChiSquare statistic : 40.74 p-value of test : 0.61 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 45 ChiSquare statistic : 45.88 p-value of test : 0.44 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 45 ChiSquare statistic : 46.55 p-value of test : 0.41 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 35 ChiSquare statistic : 43.76 p-value of test : 0.15 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 22 ChiSquare statistic : 23.59 p-value of test : 0.37 ----------------------------------------------- CPU time used : 00:00:38.17 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system swalk_RandomWalk1 test: ----------------------------------------------- N = 1, n = 5000000, r = 0, s = 30, L0 = 1000, L1 = 1000 ----------------------------------------------- Test on the values of the Statistic H Number of degrees of freedom : 140 ChiSquare statistic : 159.79 p-value of test : 0.12 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 141 ChiSquare statistic : 138.12 p-value of test : 0.55 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 ChiSquare statistic : 506.31 p-value of test : 0.41 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 132 ChiSquare statistic : 112.35 p-value of test : 0.89 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 72 ChiSquare statistic : 74.46 p-value of test : 0.40 ----------------------------------------------- CPU time used : 00:01:32.04 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system swalk_RandomWalk1 test: ----------------------------------------------- N = 1, n = 1000000, r = 20, s = 10, L0 = 1000, L1 = 1000 ----------------------------------------------- Test on the values of the Statistic H Number of degrees of freedom : 128 ChiSquare statistic : 147.10 p-value of test : 0.12 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 130 ChiSquare statistic : 111.69 p-value of test : 0.88 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 ChiSquare statistic : 506.99 p-value of test : 0.40 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 122 ChiSquare statistic : 104.61 p-value of test : 0.87 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 66 ChiSquare statistic : 64.11 p-value of test : 0.54 ----------------------------------------------- CPU time used : 00:00:42.07 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system swalk_RandomWalk1 test: ----------------------------------------------- N = 1, n = 500000, r = 0, s = 30, L0 = 10000, L1 = 10000 ----------------------------------------------- Test on the values of the Statistic H Number of degrees of freedom : 366 ChiSquare statistic : 402.51 p-value of test : 0.09 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 366 ChiSquare statistic : 393.99 p-value of test : 0.15 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 ChiSquare statistic : 4913.21 p-value of test : 0.81 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 360 ChiSquare statistic : 391.77 p-value of test : 0.12 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 192 ChiSquare statistic : 211.03 p-value of test : 0.16 ----------------------------------------------- CPU time used : 00:01:30.44 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system swalk_RandomWalk1 test: ----------------------------------------------- N = 1, n = 100000, r = 20, s = 10, L0 = 10000, L1 = 10000 ----------------------------------------------- Test on the values of the Statistic H Number of degrees of freedom : 318 ChiSquare statistic : 306.04 p-value of test : 0.67 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 318 ChiSquare statistic : 321.32 p-value of test : 0.44 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 ChiSquare statistic : 5012.96 p-value of test : 0.45 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 315 ChiSquare statistic : 264.03 p-value of test : 0.98 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 169 ChiSquare statistic : 144.73 p-value of test : 0.91 ----------------------------------------------- CPU time used : 00:00:42.37 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system scomp_LinearComp test: ----------------------------------------------- N = 1, n = 120000, r = 0, s = 1 ----------------------------------------------- Number of degrees of freedom : 10 Chi2 statistic for size of jumps : 8.61 p-value of test : 0.57 ----------------------------------------------- Normal statistic for number of jumps : 1.39 p-value of test : 0.08 ----------------------------------------------- CPU time used : 00:00:11.95 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system scomp_LinearComp test: ----------------------------------------------- N = 1, n = 120000, r = 29, s = 1 ----------------------------------------------- Number of degrees of freedom : 10 Chi2 statistic for size of jumps : 3.93 p-value of test : 0.95 ----------------------------------------------- Normal statistic for number of jumps : -0.052 p-value of test : 0.52 ----------------------------------------------- CPU time used : 00:00:11.93 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system scomp_LempelZiv test: ----------------------------------------------- N = 10, n = 33554432, r = 0, s = 30, k = 25 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.53 p-value of test : 1.7e-3 Kolmogorov-Smirnov- statistic = D- : 0.044 p-value of test : 0.93 Anderson-Darling statistic = A2 : 4.25 p-value of test : 6.9e-3 Tests on the sum of all N observations Standardized normal statistic : -2.46 p-value of test : 0.9931 Sample variance : 0.39 p-value of test : 0.94 ----------------------------------------------- CPU time used : 00:00:18.50 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sspectral_Fourier3 test: ----------------------------------------------- N = 50000, n = 16384, r = 0, s = 30, k = 14 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 8.20e-3 p-value of test : 0.57 Kolmogorov-Smirnov- statistic = D- : 9.14e-3 p-value of test : 0.50 Anderson-Darling statistic = A2 : 0.34 p-value of test : 0.90 ----------------------------------------------- CPU time used : 00:00:27.98 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sspectral_Fourier3 test: ----------------------------------------------- N = 50000, n = 16384, r = 20, s = 10, k = 14 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 5.77e-3 p-value of test : 0.76 Kolmogorov-Smirnov- statistic = D- : 0.018 p-value of test : 0.07 Anderson-Darling statistic = A2 : 1.54 p-value of test : 0.17 ----------------------------------------------- CPU time used : 00:00:46.79 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sstring_LongestHeadRun test: ----------------------------------------------- N = 1, n = 1000, r = 0, s = 30, L = 10000020 ----------------------------------------------- Number of degrees of freedom : 8 Chi-square statistic : 5.28 p-value of test : 0.73 ----------------------------------------------- Global longest run of 1 : 32.00 p-value of test : 0.50 ----------------------------------------------- CPU time used : 00:02:40.29 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sstring_LongestHeadRun test: ----------------------------------------------- N = 1, n = 300, r = 20, s = 10, L = 10000020 ----------------------------------------------- Number of degrees of freedom : 7 Chi-square statistic : 6.07 p-value of test : 0.53 ----------------------------------------------- Global longest run of 1 : 35.00 p-value of test : 0.04 ----------------------------------------------- CPU time used : 00:01:58.64 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sstring_PeriodsInStrings test: ----------------------------------------------- N = 1, n = 300000000, r = 0, s = 30 ----------------------------------------------- Number of degrees of freedom : 302 Chi-square statistic : 328.08 p-value of test : 0.14 ----------------------------------------------- CPU time used : 00:01:54.65 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sstring_PeriodsInStrings test: ----------------------------------------------- N = 1, n = 300000000, r = 15, s = 15 ----------------------------------------------- Number of degrees of freedom : 56 Chi-square statistic : 53.25 p-value of test : 0.58 ----------------------------------------------- CPU time used : 00:01:50.90 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sstring_HammingWeight2 test: ----------------------------------------------- N = 100, n = 100000000, r = 0, s = 30, L = 1000000 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.094 p-value of test : 0.16 Kolmogorov-Smirnov- statistic = D- : 0.058 p-value of test : 0.49 Anderson-Darling statistic = A2 : 1.10 p-value of test : 0.31 Test on the sum of all N observations Number of degrees of freedom : 10000 Chi-square statistic : 9933.60 p-value of test : 0.68 ----------------------------------------------- CPU time used : 00:02:00.71 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sstring_HammingWeight2 test: ----------------------------------------------- N = 30, n = 100000000, r = 20, s = 10, L = 1000000 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.19 p-value of test : 0.11 Kolmogorov-Smirnov- statistic = D- : 0.040 p-value of test : 0.88 Anderson-Darling statistic = A2 : 1.08 p-value of test : 0.32 Test on the sum of all N observations Number of degrees of freedom : 3000 Chi-square statistic : 2910.43 p-value of test : 0.88 ----------------------------------------------- CPU time used : 00:01:46.95 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 500000000, r = 0, s = 30, L = 30 ----------------------------------------------- Normal statistic : 0.50 p-value of test : 0.31 ----------------------------------------------- CPU time used : 00:03:02.26 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 50000000, r = 0, s = 30, L = 300 ----------------------------------------------- Normal statistic : -0.96 p-value of test : 0.83 ----------------------------------------------- CPU time used : 00:03:01.94 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 10000000, r = 0, s = 30, L = 1200 ----------------------------------------------- Normal statistic : -1.35 p-value of test : 0.91 ----------------------------------------------- CPU time used : 00:02:25.44 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sstring_HammingIndep test: ----------------------------------------------- N = 1, n = 300000000, r = 0, s = 30, L = 30, d = 0 Counters with expected numbers >= 10 ----------------------------------------------- Number of degrees of freedom : 577 Chi-square statistic : 617.99 p-value of test : 0.12 ----------------------------------------------- CPU time used : 00:03:39.86 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sstring_HammingIndep test: ----------------------------------------------- N = 1, n = 100000000, r = 20, s = 10, L = 30, d = 0 Counters with expected numbers >= 10 ----------------------------------------------- Number of degrees of freedom : 533 Chi-square statistic : 567.95 p-value of test : 0.14 ----------------------------------------------- CPU time used : 00:03:35.89 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sstring_HammingIndep test: ----------------------------------------------- N = 1, n = 30000000, r = 0, s = 30, L = 300, d = 0 Counters with expected numbers >= 10 ----------------------------------------------- Number of degrees of freedom : 4117 Chi-square statistic : 4063.99 p-value of test : 0.72 ----------------------------------------------- CPU time used : 00:03:38.45 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sstring_HammingIndep test: ----------------------------------------------- N = 1, n = 10000000, r = 20, s = 10, L = 300, d = 0 Counters with expected numbers >= 10 ----------------------------------------------- Number of degrees of freedom : 3585 Chi-square statistic : 3525.79 p-value of test : 0.76 ----------------------------------------------- CPU time used : 00:03:33.48 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sstring_HammingIndep test: ----------------------------------------------- N = 1, n = 10000000, r = 0, s = 30, L = 1200, d = 0 Counters with expected numbers >= 10 ----------------------------------------------- Number of degrees of freedom : 11825 Chi-square statistic :12142.06 p-value of test : 0.02 ----------------------------------------------- CPU time used : 00:04:50.71 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sstring_HammingIndep test: ----------------------------------------------- N = 1, n = 1000000, r = 20, s = 10, L = 1200, d = 0 Counters with expected numbers >= 10 ----------------------------------------------- Number of degrees of freedom : 7473 Chi-square statistic : 7699.60 p-value of test : 0.03 ----------------------------------------------- CPU time used : 00:01:25.36 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sstring_Run test: ----------------------------------------------- N = 1, n = 1000000000, r = 0, s = 30 ----------------------------------------------- Total number of 1 runs: 1000000000 Number of degrees of freedom : 52 Chi2 statistic for number of runs : 46.92 p-value of test : 0.67 ----------------------------------------------- Total number of bits: 3999971880 Normal statistic for number of bits : -0.31 p-value of test : 0.62 ----------------------------------------------- CPU time used : 00:01:04.57 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sstring_Run test: ----------------------------------------------- N = 1, n = 1000000000, r = 20, s = 10 ----------------------------------------------- Total number of 1 runs: 1000000001 Number of degrees of freedom : 52 Chi2 statistic for number of runs : 35.81 p-value of test : 0.96 ----------------------------------------------- Total number of bits: 4000012040 Normal statistic for number of bits : 0.13 p-value of test : 0.45 ----------------------------------------------- CPU time used : 00:02:38.35 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sstring_AutoCor test: ----------------------------------------------- N = 10, n = 1000000021, r = 0, s = 30, d = 1 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.13 p-value of test : 0.64 Kolmogorov-Smirnov- statistic = D- : 0.39 p-value of test : 0.04 Anderson-Darling statistic = A2 : 2.06 p-value of test : 0.09 Tests on the sum of all N observations Standardized normal statistic : 1.17 p-value of test : 0.12 Sample variance : 2.41 p-value of test : 0.01 ----------------------------------------------- CPU time used : 00:02:12.45 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sstring_AutoCor test: ----------------------------------------------- N = 5, n = 1000000001, r = 20, s = 10, d = 1 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.36 p-value of test : 0.23 Kolmogorov-Smirnov- statistic = D- : 0.28 p-value of test : 0.39 Anderson-Darling statistic = A2 : 0.74 p-value of test : 0.52 Tests on the sum of all N observations Standardized normal statistic : -0.24 p-value of test : 0.59 Sample variance : 0.19 p-value of test : 0.94 ----------------------------------------------- CPU time used : 00:03:14.23 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sstring_AutoCor test: ----------------------------------------------- N = 10, n = 1000000020, r = 0, s = 30, d = 30 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.35 p-value of test : 0.06 Kolmogorov-Smirnov- statistic = D- : 0.081 p-value of test : 0.84 Anderson-Darling statistic = A2 : 0.92 p-value of test : 0.40 Tests on the sum of all N observations Standardized normal statistic : -0.73 p-value of test : 0.77 Sample variance : 0.93 p-value of test : 0.50 ----------------------------------------------- CPU time used : 00:02:09.90 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sstring_AutoCor test: ----------------------------------------------- N = 5, n = 1000000010, r = 20, s = 10, d = 10 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.11 p-value of test : 0.84 Kolmogorov-Smirnov- statistic = D- : 0.49 p-value of test : 0.06 Anderson-Darling statistic = A2 : 1.12 p-value of test : 0.30 Tests on the sum of all N observations Standardized normal statistic : 1.10 p-value of test : 0.13 Sample variance : 0.55 p-value of test : 0.70 ----------------------------------------------- CPU time used : 00:03:11.19 Generator state: ========= Summary results of Crush ========= Version: TestU01 1.2.3 Generator: anti_control_for_6D_discrete_time_system Number of statistics: 144 Total CPU time: 03:43:06.94 All tests were passed xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx Starting BigCrush Version: TestU01 1.2.3 xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx *********************************************************** Test smarsa_SerialOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system 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 : 0.92 ----------------------------------------------- CPU time used : 00:07:30.04 Generator state: *********************************************************** Test smarsa_SerialOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system 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 : 0.38 ----------------------------------------------- CPU time used : 00:07:32.78 Generator state: *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system 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 : 1439 p-value of test : 0.02 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334559 j = 1 : 599997122 j = 2 : 1439 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:07:29.92 Generator state: *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system 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 : 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 : 00:07:34.29 Generator state: *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system 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 : 1374 p-value of test : 0.40 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334494 j = 1 : 599997252 j = 2 : 1374 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:08:26.34 Generator state: *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system 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 : 1327 p-value of test : 0.84 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334447 j = 1 : 599997346 j = 2 : 1327 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:08:31.87 Generator state: *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system 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 : 1378 p-value of test : 0.36 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334498 j = 1 : 599997244 j = 2 : 1378 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:08:30.38 Generator state: *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system 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 : 1454 p-value of test : 8.3e-3 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334574 j = 1 : 599997092 j = 2 : 1454 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:08:31.72 Generator state: *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system 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 : 1377 p-value of test : 0.37 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334497 j = 1 : 599997246 j = 2 : 1377 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:08:32.95 Generator state: *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system 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 : 1292 p-value of test : 0.97 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334412 j = 1 : 599997416 j = 2 : 1292 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:08:36.11 Generator state: *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system 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 : 1448 p-value of test : 0.01 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334568 j = 1 : 599997104 j = 2 : 1448 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:08:32.66 Generator state: *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system 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 : 1394 p-value of test : 0.21 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334514 j = 1 : 599997212 j = 2 : 1394 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:08:34.90 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system 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 : 5481 p-value of test : 0.21 ----------------------------------------------- CPU time used : 00:14:59.00 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system 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 : 4359 p-value of test : 0.37 ----------------------------------------------- CPU time used : 00:08:21.63 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system 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 : 7424 p-value of test : 0.11 ----------------------------------------------- CPU time used : 00:16:15.31 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system 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 : 4307 p-value of test : 0.67 ----------------------------------------------- CPU time used : 00:17:37.86 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system 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 : 4466 p-value of test : 0.03 ----------------------------------------------- CPU time used : 00:17:51.93 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system 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 : 7379 p-value of test : 0.24 ----------------------------------------------- CPU time used : 00:30:22.84 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system 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 : 7349 p-value of test : 0.36 ----------------------------------------------- CPU time used : 00:30:21.91 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system 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 : 7478 p-value of test : 0.03 ----------------------------------------------- CPU time used : 00:57:51.68 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system 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 : 7309 p-value of test : 0.54 ----------------------------------------------- CPU time used : 00:58:35.59 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system 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) : 0.48 p-value of test : 0.77 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) : 0.90 p-value of test : 0.42 Test on the Nm values of W_{n,i}(mNP1): 4.32 p-value of test : 6.1e-3 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 900 Number of jumps of Y : 987 p-value of test : 2.2e-3 Stat. AD (mNP2) : 1.12 p-value of test : 0.30 Stat. AD after spacings (mNP2-S) : 0.97 p-value of test : 0.37 ----------------------------------------------- CPU time used : 00:05:46.19 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system 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) : 1.93 p-value of test : 0.10 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) : 0.74 p-value of test : 0.53 Test on the Nm values of W_{n,i}(mNP1): 0.64 p-value of test : 0.61 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 600 Number of jumps of Y : 597 p-value of test : 0.54 Stat. AD (mNP2) : 2.00 p-value of test : 0.09 Stat. AD after spacings (mNP2-S) : 1.06 p-value of test : 0.33 ----------------------------------------------- CPU time used : 00:03:56.98 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system snpair_ClosePairs test: ----------------------------------------------- N = 10, n = 3000000, r = 0, t = 9, p = 0, m = 30, Torus = TRUE --------------------------------------- Test based on the 2 nearest points (NP): Stat. AD on the N values (NP) : 0.31 p-value of test : 0.93 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) : 0.34 p-value of test : 0.90 Test on the Nm values of W_{n,i}(mNP1): 1.87 p-value of test : 0.11 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) : 1.16 p-value of test : 0.28 Stat. AD after spacings (mNP2-S) : 0.33 p-value of test : 0.92 ----------------------------------------------- CPU time used : 00:04:14.37 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system 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) : 0.42 p-value of test : 0.82 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) : 1.42 p-value of test : 0.20 Test on the Nm values of W_{n,i}(mNP1): 1.07 p-value of test : 0.32 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 150 Number of jumps of Y : 168 p-value of test : 0.08 Stat. AD (mNP2) : 0.53 p-value of test : 0.71 Stat. AD after spacings (mNP2-S) : 2.96 p-value of test : 0.03 ----------------------------------------------- CPU time used : 00:03:54.50 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sknuth_SimpPoker test: ----------------------------------------------- N = 1, n = 400000000, r = 0, d = 8, k = 8 ----------------------------------------------- Number of degrees of freedom : 7 Chi-square statistic : 4.61 p-value of test : 0.71 ----------------------------------------------- CPU time used : 00:18:51.11 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sknuth_SimpPoker test: ----------------------------------------------- N = 1, n = 400000000, r = 27, d = 8, k = 8 ----------------------------------------------- Number of degrees of freedom : 7 Chi-square statistic : 2.57 p-value of test : 0.92 ----------------------------------------------- CPU time used : 00:19:07.86 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sknuth_SimpPoker test: ----------------------------------------------- N = 1, n = 100000000, r = 0, d = 32, k = 32 ----------------------------------------------- Number of degrees of freedom : 18 Chi-square statistic : 24.97 p-value of test : 0.13 ----------------------------------------------- CPU time used : 00:18:54.98 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sknuth_SimpPoker test: ----------------------------------------------- N = 1, n = 100000000, r = 25, d = 32, k = 32 ----------------------------------------------- Number of degrees of freedom : 18 Chi-square statistic : 22.84 p-value of test : 0.20 ----------------------------------------------- CPU time used : 00:19:13.09 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sknuth_CouponCollector test: ----------------------------------------------- N = 1, n = 200000000, r = 0, d = 8 ----------------------------------------------- Number of degrees of freedom : 54 Chi-square statistic : 58.09 p-value of test : 0.33 ----------------------------------------------- CPU time used : 00:26:47.26 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sknuth_CouponCollector test: ----------------------------------------------- N = 1, n = 200000000, r = 10, d = 8 ----------------------------------------------- Number of degrees of freedom : 54 Chi-square statistic : 51.53 p-value of test : 0.57 ----------------------------------------------- CPU time used : 00:27:11.62 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sknuth_CouponCollector test: ----------------------------------------------- N = 1, n = 200000000, r = 20, d = 8 ----------------------------------------------- Number of degrees of freedom : 54 Chi-square statistic : 50.04 p-value of test : 0.63 ----------------------------------------------- CPU time used : 00:27:11.41 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sknuth_CouponCollector test: ----------------------------------------------- N = 1, n = 200000000, r = 27, d = 8 ----------------------------------------------- Number of degrees of freedom : 54 Chi-square statistic : 43.15 p-value of test : 0.86 ----------------------------------------------- CPU time used : 00:27:11.65 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sknuth_Gap test: ----------------------------------------------- N = 1, n = 500000000, r = 0, Alpha = 0, Beta = 0.0625 ----------------------------------------------- Number of degrees of freedom : 232 Chi-square statistic : 276.42 p-value of test : 0.02 ----------------------------------------------- CPU time used : 00:46:17.31 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sknuth_Gap test: ----------------------------------------------- N = 1, n = 300000000, r = 25, Alpha = 0, Beta = 0.03125 ----------------------------------------------- Number of degrees of freedom : 434 Chi-square statistic : 423.04 p-value of test : 0.64 ----------------------------------------------- CPU time used : 00:56:04.69 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sknuth_Gap test: ----------------------------------------------- N = 1, n = 100000000, r = 0, Alpha = 0, Beta = 0.0078125 ----------------------------------------------- Number of degrees of freedom : 1437 Chi-square statistic : 1316.97 p-value of test : 0.99 ----------------------------------------------- CPU time used : 01:13:52.01 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sknuth_Gap test: ----------------------------------------------- N = 1, n = 10000000, r = 20, Alpha = 0, Beta = 0.000976562 ----------------------------------------------- Number of degrees of freedom : 7046 Chi-square statistic : 7086.66 p-value of test : 0.36 ----------------------------------------------- CPU time used : 00:59:42.37 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sknuth_Run test: ----------------------------------------------- N = 5, n = 1000000000, r = 0, Up = FALSE ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.016 p-value of test : 0.98 Kolmogorov-Smirnov- statistic = D- : 0.35 p-value of test : 0.23 Anderson-Darling statistic = A2 : 1.03 p-value of test : 0.34 Test on the sum of all N observations Number of degrees of freedom : 30 Chi-square statistic : 41.09 p-value of test : 0.09 ----------------------------------------------- CPU time used : 00:29:17.01 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sknuth_Run test: ----------------------------------------------- N = 10, n = 1000000000, r = 15, Up = TRUE ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.28 p-value of test : 0.18 Kolmogorov-Smirnov- statistic = D- : 0.14 p-value of test : 0.63 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 : 60 Chi-square statistic : 50.18 p-value of test : 0.81 ----------------------------------------------- CPU time used : 01:07:15.47 Generator state: *********************************************************** Test sknuth_Permutation calling smultin_Multinomial *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system 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 : 5.06 p-value of test : 0.41 ----------------------------------------------- CPU time used : 00:17:46.16 Generator state: *********************************************************** Test sknuth_Permutation calling smultin_Multinomial *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system 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 : 110.70 p-value of test : 0.69 ----------------------------------------------- CPU time used : 00:29:45.19 Generator state: *********************************************************** Test sknuth_Permutation calling smultin_Multinomial *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system 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 : 5132.96 p-value of test : 0.17 ----------------------------------------------- CPU time used : 00:20:55.33 Generator state: *********************************************************** Test sknuth_Permutation calling smultin_Multinomial *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system 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 : 0.55 ----------------------------------------------- CPU time used : 00:31:05.13 Generator state: *********************************************************** Test sknuth_CollisionPermut calling smultin_Multinomial *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system 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 : 45758 p-value of test : 0.71 ----------------------------- Total number of cells containing j balls j = 0 : 1743165869758 j = 1 : 399908485 j = 2 : 45756 j = 3 : 1 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:35:51.41 Generator state: *********************************************************** Test sknuth_CollisionPermut calling smultin_Multinomial *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system 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 : 46332 p-value of test : 0.02 ----------------------------- Total number of cells containing j balls j = 0 : 1743165870332 j = 1 : 399907340 j = 2 : 46324 j = 3 : 4 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:36:08.88 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sknuth_MaxOft test: ----------------------------------------------- N = 40, n = 10000000, r = 0, d = 100000, t = 8 Number of categories = 100000 Expected number per category = 100.00 ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: Kolmogorov-Smirnov+ statistic = D+ : 0.047 p-value of test : 0.81 Kolmogorov-Smirnov- statistic = D- : 0.12 p-value of test : 0.27 Anderson-Darling statistic = A2 : 0.82 p-value of test : 0.47 Test on the sum of all N observations Number of degrees of freedom : 3999960 Chi-square statistic : 4.00e+6 p-value of test : 0.17 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.067 p-value of test : 0.67 Kolmogorov-Smirnov- statistic = D- : 0.077 p-value of test : 0.60 Anderson-Darling statistic = A2 : 0.30 p-value of test : 0.94 ----------------------------------------------- CPU time used : 00:20:41.58 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system 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+ : 3.51e-3 p-value of test : 0.9961 Kolmogorov-Smirnov- statistic = D- : 0.23 p-value of test : 0.03 Anderson-Darling statistic = A2 : 2.58 p-value of test : 0.05 Test on the sum of all N observations Number of degrees of freedom : 2999970 Chi-square statistic : 3.01e+6 p-value of test : 0.01 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.036 p-value of test : 0.90 Kolmogorov-Smirnov- statistic = D- : 0.14 p-value of test : 0.28 Anderson-Darling statistic = A2 : 0.54 p-value of test : 0.71 ----------------------------------------------- CPU time used : 00:29:21.66 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sknuth_MaxOft test: ----------------------------------------------- N = 20, n = 10000000, r = 0, d = 100000, t = 24 Number of categories = 100000 Expected number per category = 100.00 ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: Kolmogorov-Smirnov+ statistic = D+ : 0.18 p-value of test : 0.23 Kolmogorov-Smirnov- statistic = D- : 0.15 p-value of test : 0.36 Anderson-Darling statistic = A2 : 0.80 p-value of test : 0.48 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 p-value of test : 0.53 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.059 p-value of test : 0.84 Kolmogorov-Smirnov- statistic = D- : 0.093 p-value of test : 0.67 Anderson-Darling statistic = A2 : 0.15 p-value of test : 0.9985 ----------------------------------------------- CPU time used : 00:28:47.05 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system 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+ : 0.18 p-value of test : 0.24 Kolmogorov-Smirnov- statistic = D- : 0.11 p-value of test : 0.57 Anderson-Darling statistic = A2 : 0.57 p-value of test : 0.67 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 p-value of test : 0.64 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.16 p-value of test : 0.35 Kolmogorov-Smirnov- statistic = D- : 0.18 p-value of test : 0.24 Anderson-Darling statistic = A2 : 0.98 p-value of test : 0.37 ----------------------------------------------- CPU time used : 00:38:03.24 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system svaria_SampleProd test: ----------------------------------------------- N = 40, n = 10000000, r = 0, t = 8 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.063 p-value of test : 0.70 Kolmogorov-Smirnov- statistic = D- : 0.077 p-value of test : 0.59 Anderson-Darling statistic = A2 : 0.33 p-value of test : 0.91 ----------------------------------------------- CPU time used : 00:20:02.53 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system svaria_SampleProd test: ----------------------------------------------- N = 20, n = 10000000, r = 0, t = 16 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.17 p-value of test : 0.28 Kolmogorov-Smirnov- statistic = D- : 0.12 p-value of test : 0.55 Anderson-Darling statistic = A2 : 0.71 p-value of test : 0.55 ----------------------------------------------- CPU time used : 00:19:30.19 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system svaria_SampleProd test: ----------------------------------------------- N = 20, n = 10000000, r = 0, t = 24 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.15 p-value of test : 0.37 Kolmogorov-Smirnov- statistic = D- : 0.044 p-value of test : 0.90 Anderson-Darling statistic = A2 : 0.65 p-value of test : 0.60 ----------------------------------------------- CPU time used : 00:28:57.69 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system svaria_SampleMean test: ----------------------------------------------- N = 20000000, n = 30, r = 0 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 5.42e-5 p-value of test : 0.89 Kolmogorov-Smirnov- statistic = D- : 2.35e-4 p-value of test : 0.11 Anderson-Darling statistic = A2 : 1.14 p-value of test : 0.29 ----------------------------------------------- CPU time used : 00:03:52.36 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system svaria_SampleMean test: ----------------------------------------------- N = 20000000, n = 30, r = 10 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 7.19e-5 p-value of test : 0.81 Kolmogorov-Smirnov- statistic = D- : 1.41e-4 p-value of test : 0.45 Anderson-Darling statistic = A2 : 0.51 p-value of test : 0.73 ----------------------------------------------- CPU time used : 00:04:07.08 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system svaria_SampleCorr test: ----------------------------------------------- N = 1, n = 2000000000, r = 0, k = 1 ----------------------------------------------- Normal statistic : -0.83 p-value of test : 0.80 ----------------------------------------------- CPU time used : 00:12:05.66 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system svaria_SampleCorr test: ----------------------------------------------- N = 1, n = 2000000000, r = 0, k = 2 ----------------------------------------------- Normal statistic : 0.19 p-value of test : 0.43 ----------------------------------------------- CPU time used : 00:12:05.19 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system 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 : 0.50 p-value of test : 0.31 ----------------------------------------------- CPU time used : 00:31:36.89 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system 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 : -0.73 p-value of test : 0.77 ----------------------------------------------- CPU time used : 00:31:37.58 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system 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 : 54.12 p-value of test : 0.87 ----------------------------------------------- CPU time used : 00:30:54.75 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system 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 : 76.80 p-value of test : 0.19 ----------------------------------------------- CPU time used : 00:31:12.38 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system 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 : 65.41 p-value of test : 0.53 ----------------------------------------------- CPU time used : 00:31:11.77 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system 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 : 47.70 p-value of test : 0.11 ----------------------------------------------- CPU time used : 00:30:54.61 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system 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 : 61.14 p-value of test : 7.5e-3 ----------------------------------------------- CPU time used : 00:31:12.75 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system 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 : 31.11 p-value of test : 0.74 ----------------------------------------------- CPU time used : 00:31:11.97 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system svaria_SumCollector test: ----------------------------------------------- N = 1, n = 500000000, r = 0, g = 10 ----------------------------------------------- Number of degrees of freedom : 29 Chi-square statistic : 13.23 p-value of test : 0.9946 ----------------------------------------------- CPU time used : 01:02:24.36 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smarsa_MatrixRank test: ----------------------------------------------- N = 10, n = 1000000, r = 0, s = 5, L = 30, k = 30 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.26 p-value of test : 0.22 Kolmogorov-Smirnov- statistic = D- : 1.39e-3 p-value of test : 0.9986 Anderson-Darling statistic = A2 : 1.36 p-value of test : 0.21 Test on the sum of all N observations Number of degrees of freedom : 40 Chi-square statistic : 28.88 p-value of test : 0.90 ----------------------------------------------- CPU time used : 00:11:45.80 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smarsa_MatrixRank test: ----------------------------------------------- N = 10, n = 1000000, r = 25, s = 5, L = 30, k = 30 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.11 p-value of test : 0.72 Kolmogorov-Smirnov- statistic = D- : 0.33 p-value of test : 0.09 Anderson-Darling statistic = A2 : 1.04 p-value of test : 0.33 Test on the sum of all N observations Number of degrees of freedom : 40 Chi-square statistic : 41.57 p-value of test : 0.40 ----------------------------------------------- CPU time used : 00:11:45.75 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 5000, r = 0, s = 4, L = 1000, k = 1000 ----------------------------------------------- Number of degrees of freedom : 3 Chi-square statistic : 1.88 p-value of test : 0.60 ----------------------------------------------- CPU time used : 00:10:44.24 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 5000, r = 26, s = 4, L = 1000, k = 1000 ----------------------------------------------- Number of degrees of freedom : 3 Chi-square statistic : 3.69 p-value of test : 0.30 ----------------------------------------------- CPU time used : 00:10:44.05 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 80, r = 15, s = 15, L = 5000, k = 5000 ----------------------------------------------- Number of degrees of freedom : 2 Chi-square statistic : 0.32 p-value of test : 0.85 ----------------------------------------------- CPU time used : 00:04:07.38 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 80, r = 0, s = 30, L = 5000, k = 5000 ----------------------------------------------- Number of degrees of freedom : 2 Chi-square statistic : 1.30 p-value of test : 0.52 ----------------------------------------------- CPU time used : 00:03:11.61 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smarsa_Savir2 test: ----------------------------------------------- N = 10, n = 10000000, r = 10, m = 1048576, t = 30 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.24 p-value of test : 0.27 Kolmogorov-Smirnov- statistic = D- : 0.18 p-value of test : 0.45 Anderson-Darling statistic = A2 : 0.99 p-value of test : 0.36 Test on the sum of all N observations Number of degrees of freedom : 130 Chi-square statistic : 139.12 p-value of test : 0.28 ----------------------------------------------- CPU time used : 00:18:22.49 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smarsa_GCD test: ----------------------------------------------- N = 10, n = 50000000, r = 0, s = 30 ----------------------------------------------- Test results for GCD values: Kolmogorov-Smirnov+ statistic = D+ : 0.19 p-value of test : 0.45 Kolmogorov-Smirnov- statistic = D- : 0.086 p-value of test : 0.82 Anderson-Darling statistic = A2 : 0.36 p-value of test : 0.89 Test on the sum of all N observations Number of degrees of freedom : 17430 Chi-square statistic :17353.77 p-value of test : 0.66 ----------------------------------------------- CPU time used : 00:07:39.69 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system 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 : 30.66 p-value of test : 0.72 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 ChiSquare statistic : 49.28 p-value of test : 0.06 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 ChiSquare statistic : 28.55 p-value of test : 0.28 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 ChiSquare statistic : 21.86 p-value of test : 0.59 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 ChiSquare statistic : 16.41 p-value of test : 0.50 ----------------------------------------------- CPU time used : 00:06:41.66 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system 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 : 30.63 p-value of test : 0.72 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 ChiSquare statistic : 39.87 p-value of test : 0.26 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 ChiSquare statistic : 17.39 p-value of test : 0.87 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 ChiSquare statistic : 26.93 p-value of test : 0.31 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 ChiSquare statistic : 22.96 p-value of test : 0.15 ----------------------------------------------- CPU time used : 00:06:45.36 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system 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 : 181.64 p-value of test : 0.02 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 ChiSquare statistic : 129.10 p-value of test : 0.84 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 ChiSquare statistic : 544.67 p-value of test : 0.08 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 ChiSquare statistic : 154.73 p-value of test : 0.13 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 ChiSquare statistic : 75.29 p-value of test : 0.44 ----------------------------------------------- CPU time used : 00:07:15.25 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system 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 : 155.83 p-value of test : 0.27 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 ChiSquare statistic : 131.33 p-value of test : 0.80 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 ChiSquare statistic : 442.30 p-value of test : 0.97 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 ChiSquare statistic : 126.20 p-value of test : 0.72 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 ChiSquare statistic : 80.01 p-value of test : 0.30 ----------------------------------------------- CPU time used : 00:07:19.52 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system 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 : 367.07 p-value of test : 0.72 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 ChiSquare statistic : 386.90 p-value of test : 0.45 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 ChiSquare statistic : 5110.01 p-value of test : 0.14 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 ChiSquare statistic : 439.76 p-value of test : 0.02 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 ChiSquare statistic : 216.46 p-value of test : 0.20 ----------------------------------------------- CPU time used : 00:05:11.24 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system 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 : 393.22 p-value of test : 0.36 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 ChiSquare statistic : 373.71 p-value of test : 0.64 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 ChiSquare statistic : 5038.51 p-value of test : 0.35 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 ChiSquare statistic : 412.96 p-value of test : 0.10 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 ChiSquare statistic : 185.30 p-value of test : 0.76 ----------------------------------------------- CPU time used : 00:05:14.02 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system scomp_LinearComp test: ----------------------------------------------- N = 1, n = 400020, r = 0, s = 1 ----------------------------------------------- Number of degrees of freedom : 12 Chi2 statistic for size of jumps : 13.76 p-value of test : 0.32 ----------------------------------------------- Normal statistic for number of jumps : 1.99 p-value of test : 0.02 ----------------------------------------------- CPU time used : 00:02:20.69 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system scomp_LinearComp test: ----------------------------------------------- N = 1, n = 400020, r = 29, s = 1 ----------------------------------------------- Number of degrees of freedom : 12 Chi2 statistic for size of jumps : 5.45 p-value of test : 0.94 ----------------------------------------------- Normal statistic for number of jumps : -0.86 p-value of test : 0.80 ----------------------------------------------- CPU time used : 00:02:19.57 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system scomp_LempelZiv test: ----------------------------------------------- N = 10, n = 134217728, r = 0, s = 30, k = 27 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.13 p-value of test : 0.66 Kolmogorov-Smirnov- statistic = D- : 0.20 p-value of test : 0.41 Anderson-Darling statistic = A2 : 0.41 p-value of test : 0.84 Tests on the sum of all N observations Standardized normal statistic : 0.24 p-value of test : 0.41 Sample variance : 0.60 p-value of test : 0.79 ----------------------------------------------- CPU time used : 00:01:29.46 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system scomp_LempelZiv test: ----------------------------------------------- N = 10, n = 134217728, r = 15, s = 15, k = 27 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.23 p-value of test : 0.31 Kolmogorov-Smirnov- statistic = D- : 0.087 p-value of test : 0.81 Anderson-Darling statistic = A2 : 0.58 p-value of test : 0.66 Tests on the sum of all N observations Standardized normal statistic : -0.65 p-value of test : 0.74 Sample variance : 0.89 p-value of test : 0.53 ----------------------------------------------- CPU time used : 00:01:48.53 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sspectral_Fourier3 test: ----------------------------------------------- N = 100000, n = 16384, r = 0, s = 3, k = 14 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 6.85e-3 p-value of test : 0.68 Kolmogorov-Smirnov- statistic = D- : 0.012 p-value of test : 0.31 Anderson-Darling statistic = A2 : 0.85 p-value of test : 0.44 ----------------------------------------------- CPU time used : 00:03:57.75 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sspectral_Fourier3 test: ----------------------------------------------- N = 100000, n = 16384, r = 27, s = 3, k = 14 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 7.77e-3 p-value of test : 0.61 Kolmogorov-Smirnov- statistic = D- : 5.58e-3 p-value of test : 0.77 Anderson-Darling statistic = A2 : 0.18 p-value of test : 0.9949 ----------------------------------------------- CPU time used : 00:03:56.27 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sstring_LongestHeadRun test: ----------------------------------------------- N = 1, n = 1000, r = 0, s = 3, L = 10000020 ----------------------------------------------- Number of degrees of freedom : 8 Chi-square statistic : 9.97 p-value of test : 0.27 ----------------------------------------------- Global longest run of 1 : 31.00 p-value of test : 0.69 ----------------------------------------------- CPU time used : 00:20:58.50 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sstring_LongestHeadRun test: ----------------------------------------------- N = 1, n = 1000, r = 27, s = 3, L = 10000020 ----------------------------------------------- Number of degrees of freedom : 8 Chi-square statistic : 3.99 p-value of test : 0.86 ----------------------------------------------- Global longest run of 1 : 32.00 p-value of test : 0.50 ----------------------------------------------- CPU time used : 00:21:01.88 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sstring_PeriodsInStrings test: ----------------------------------------------- N = 10, n = 500000000, r = 0, s = 10 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.20 p-value of test : 0.41 Kolmogorov-Smirnov- statistic = D- : 0.15 p-value of test : 0.58 Anderson-Darling statistic = A2 : 0.44 p-value of test : 0.81 Test on the sum of all N observations Number of degrees of freedom : 200 Chi-square statistic : 193.30 p-value of test : 0.62 ----------------------------------------------- CPU time used : 00:31:44.08 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sstring_PeriodsInStrings test: ----------------------------------------------- N = 10, n = 500000000, r = 20, s = 10 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.32 p-value of test : 0.10 Kolmogorov-Smirnov- statistic = D- : 0.091 p-value of test : 0.80 Anderson-Darling statistic = A2 : 1.43 p-value of test : 0.19 Test on the sum of all N observations Number of degrees of freedom : 200 Chi-square statistic : 185.14 p-value of test : 0.77 ----------------------------------------------- CPU time used : 00:31:41.42 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sstring_HammingWeight2 test: ----------------------------------------------- N = 10, n = 1000000000, r = 0, s = 3, L = 1000000 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.11 p-value of test : 0.73 Kolmogorov-Smirnov- statistic = D- : 0.26 p-value of test : 0.23 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 : 10000 Chi-square statistic :10119.96 p-value of test : 0.20 ----------------------------------------------- CPU time used : 00:20:20.25 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sstring_HammingWeight2 test: ----------------------------------------------- N = 10, n = 1000000000, r = 27, s = 3, L = 1000000 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.24 p-value of test : 0.28 Kolmogorov-Smirnov- statistic = D- : 0.11 p-value of test : 0.74 Anderson-Darling statistic = A2 : 0.52 p-value of test : 0.73 Test on the sum of all N observations Number of degrees of freedom : 10000 Chi-square statistic : 9954.74 p-value of test : 0.62 ----------------------------------------------- CPU time used : 00:20:24.64 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 1000000000, r = 10, s = 10, L = 30 ----------------------------------------------- Normal statistic : -0.021 p-value of test : 0.51 ----------------------------------------------- CPU time used : 00:18:39.02 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 100000000, r = 10, s = 10, L = 300 ----------------------------------------------- Normal statistic : 0.45 p-value of test : 0.33 ----------------------------------------------- CPU time used : 00:18:33.46 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 100000000, r = 10, s = 10, L = 1200 ----------------------------------------------- Normal statistic : -0.068 p-value of test : 0.53 ----------------------------------------------- CPU time used : 01:14:13.30 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sstring_HammingIndep test: ----------------------------------------------- N = 10, n = 30000000, r = 0, s = 3, L = 30, d = 0 Counters with expected numbers >= 10 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.16 p-value of test : 0.53 Kolmogorov-Smirnov- statistic = D- : 0.20 p-value of test : 0.39 Anderson-Darling statistic = A2 : 0.38 p-value of test : 0.86 Test on the sum of all N observations Number of degrees of freedom : 4890 Chi-square statistic : 4903.94 p-value of test : 0.44 ----------------------------------------------- CPU time used : 00:36:50.75 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sstring_HammingIndep test: ----------------------------------------------- N = 10, n = 30000000, r = 27, s = 3, L = 30, d = 0 Counters with expected numbers >= 10 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.12 p-value of test : 0.71 Kolmogorov-Smirnov- statistic = D- : 0.33 p-value of test : 0.09 Anderson-Darling statistic = A2 : 1.03 p-value of test : 0.34 Test on the sum of all N observations Number of degrees of freedom : 4890 Chi-square statistic : 4953.93 p-value of test : 0.26 ----------------------------------------------- CPU time used : 00:36:51.26 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system 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 : 4177.38 p-value of test : 0.25 ----------------------------------------------- CPU time used : 00:27:36.05 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system 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 : 4255.97 p-value of test : 0.06 ----------------------------------------------- CPU time used : 00:27:37.14 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system 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 :11572.13 p-value of test : 0.95 ----------------------------------------------- CPU time used : 00:29:29.27 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system 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 :12098.58 p-value of test : 0.04 ----------------------------------------------- CPU time used : 00:29:29.73 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system 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 : 44.36 p-value of test : 0.82 ----------------------------------------------- Total number of bits: 7999978251 Normal statistic for number of bits : -0.17 p-value of test : 0.57 ----------------------------------------------- CPU time used : 00:16:42.26 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system 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 : 51.94 p-value of test : 0.55 ----------------------------------------------- Total number of bits: 7999905150 Normal statistic for number of bits : -0.75 p-value of test : 0.77 ----------------------------------------------- CPU time used : 00:16:47.82 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sstring_AutoCor test: ----------------------------------------------- N = 10, n = 1000000030, r = 0, s = 3, d = 1 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.31 p-value of test : 0.11 Kolmogorov-Smirnov- statistic = D- : 0.19 p-value of test : 0.44 Anderson-Darling statistic = A2 : 0.94 p-value of test : 0.39 Tests on the sum of all N observations Standardized normal statistic : -0.78 p-value of test : 0.78 Sample variance : 0.68 p-value of test : 0.73 ----------------------------------------------- CPU time used : 00:22:12.38 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sstring_AutoCor test: ----------------------------------------------- N = 10, n = 1000000029, r = 0, s = 3, d = 3 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.026 p-value of test : 0.97 Kolmogorov-Smirnov- statistic = D- : 0.30 p-value of test : 0.13 Anderson-Darling statistic = A2 : 1.67 p-value of test : 0.14 Tests on the sum of all N observations Standardized normal statistic : 1.68 p-value of test : 0.05 Sample variance : 0.64 p-value of test : 0.77 ----------------------------------------------- CPU time used : 00:21:52.45 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sstring_AutoCor test: ----------------------------------------------- N = 10, n = 1000000030, r = 27, s = 3, d = 1 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.31 p-value of test : 0.12 Kolmogorov-Smirnov- statistic = D- : 0.098 p-value of test : 0.77 Anderson-Darling statistic = A2 : 1.36 p-value of test : 0.21 Tests on the sum of all N observations Standardized normal statistic : -1.43 p-value of test : 0.92 Sample variance : 1.19 p-value of test : 0.29 ----------------------------------------------- CPU time used : 00:22:10.85 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sstring_AutoCor test: ----------------------------------------------- N = 10, n = 1000000029, r = 27, s = 3, d = 3 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.37 p-value of test : 0.05 Kolmogorov-Smirnov- statistic = D- : 0.20 p-value of test : 0.40 Anderson-Darling statistic = A2 : 1.51 p-value of test : 0.17 Tests on the sum of all N observations Standardized normal statistic : -0.65 p-value of test : 0.74 Sample variance : 1.33 p-value of test : 0.22 ----------------------------------------------- CPU time used : 00:21:53.33 Generator state: ========= Summary results of BigCrush ========= Version: TestU01 1.2.3 Generator: anti_control_for_6D_discrete_time_system Number of statistics: 160 Total CPU time: 38:06:46.76 All tests were passed xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx Starting Rabbit: nb = 1000000000 Version: TestU01 1.2.3 xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialBitsOver test: ----------------------------------------------- N = 30, n = 9900960, r = 0, s = 32, L = 38, Sparse = TRUE Number of bits = n = 9900960 Number of cells = 2^L = 274877906944 Expected number per cell = 1 / 27762.753 EColl = n^2 / (2k) = 178.3137285 Hashing = TRUE Collision test CollisionOver: density = n / k = 1 / 27762.75 Expected number of collisions = Mu = 178.31 ----------------------------------------------- Results of CollisionOver test: POISSON approximation : Expected number of collisions = N*Mu : 5349.31 Observed number of collisions : 5407 p-value of test : 0.22 ----------------------------- Total number of cells containing j balls j = 0 : 8246040184927 j = 1 : 297017986 j = 2 : 5407 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:02:25.01 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system snpair_ClosePairsBitMatch test: ----------------------------------------------- N = 8, n = 1953125, r = 0, t = 2 ----------------------------------------------- Max of all bit distances : 22.00 p-value of test : 0.19 ----------------------------------------------- CPU time used : 00:00:18.92 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system snpair_ClosePairsBitMatch test: ----------------------------------------------- N = 8, n = 976562, r = 0, t = 4 ----------------------------------------------- Max of all bit distances : 10.00 p-value of test : 0.19 ----------------------------------------------- CPU time used : 00:00:17.77 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system svaria_AppearanceSpacings test: ----------------------------------------------- N = 1, Q = 31250000, K = 31250000, r = 0, s = 30, L = 15 Sequences of n = (K + Q)L = 937500000 bits Q = 31250000 initialization blocks K = 31250000 blocks for the test the blocks have L = 15 bits ----------------------------------------------- Normal statistic : -0.41 p-value of test : 0.66 ----------------------------------------------- CPU time used : 00:00:13.70 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system scomp_LinearComp test: ----------------------------------------------- N = 1, n = 73216, r = 0, s = 32 ----------------------------------------------- Number of degrees of freedom : 9 Chi2 statistic for size of jumps : 9.10 p-value of test : 0.43 ----------------------------------------------- Normal statistic for number of jumps : -1.29 p-value of test : 0.90 ----------------------------------------------- CPU time used : 00:00:04.54 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system scomp_LempelZiv test: ----------------------------------------------- N = 1, n = 268435456, r = 0, s = 32, k = 28 ----------------------------------------------- Normal statistic : 0.48 p-value of test : 0.32 ----------------------------------------------- CPU time used : 00:00:15.72 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sspectral_Fourier1 test: ----------------------------------------------- N = 1, n = 1048576, r = 0, s = 32, k = 20 ----------------------------------------------- Normal statistic : -0.82 p-value of test : 0.79 ----------------------------------------------- CPU time used : 00:00:03.01 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sspectral_Fourier3 test: ----------------------------------------------- N = 60916, n = 16384, r = 0, s = 32, k = 14 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.016 p-value of test : 0.12 Kolmogorov-Smirnov- statistic = D- : 7.95e-3 p-value of test : 0.59 Anderson-Darling statistic = A2 : 1.20 p-value of test : 0.27 ----------------------------------------------- CPU time used : 00:00:34.36 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sstring_LongestHeadRun test: ----------------------------------------------- N = 1, n = 600, r = 0, s = 32, L = 1666656 ----------------------------------------------- Number of degrees of freedom : 8 Chi-square statistic : 6.60 p-value of test : 0.58 ----------------------------------------------- Global longest run of 1 : 29.00 p-value of test : 0.61 ----------------------------------------------- CPU time used : 00:00:15.89 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sstring_PeriodsInStrings test: ----------------------------------------------- N = 1, n = 31250000, r = 0, s = 31 ----------------------------------------------- Number of degrees of freedom : 215 Chi-square statistic : 221.33 p-value of test : 0.37 ----------------------------------------------- CPU time used : 00:00:12.51 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sstring_HammingWeight test: ----------------------------------------------- N = 1, n = 31250000, r = 0, s = 32, L = 32 ----------------------------------------------- Number of degrees of freedom : 26 Chi-square statistic : 15.93 p-value of test : 0.94 ----------------------------------------------- CPU time used : 00:00:11.92 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 31250000, r = 0, s = 32, L = 32 ----------------------------------------------- Normal statistic : 1.85 p-value of test : 0.03 ----------------------------------------------- CPU time used : 00:00:11.89 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 15625000, r = 0, s = 32, L = 64 ----------------------------------------------- Normal statistic : 2.46 p-value of test : 6.9e-3 ----------------------------------------------- CPU time used : 00:00:11.92 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 7812500, r = 0, s = 32, L = 128 ----------------------------------------------- Normal statistic : 0.66 p-value of test : 0.26 ----------------------------------------------- CPU time used : 00:00:11.92 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sstring_HammingIndep test: ----------------------------------------------- N = 1, n = 31250000, r = 0, s = 32, L = 16, d = 0 Counters with expected numbers >= 10 ----------------------------------------------- Number of degrees of freedom : 257 Chi-square statistic : 257.03 p-value of test : 0.49 ----------------------------------------------- CPU time used : 00:00:12.23 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sstring_HammingIndep test: ----------------------------------------------- N = 1, n = 15625000, r = 0, s = 32, L = 32, d = 0 Counters with expected numbers >= 10 ----------------------------------------------- Number of degrees of freedom : 497 Chi-square statistic : 570.94 p-value of test : 0.01 ----------------------------------------------- CPU time used : 00:00:12.01 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sstring_HammingIndep test: ----------------------------------------------- N = 1, n = 7812500, r = 0, s = 32, L = 64, d = 0 Counters with expected numbers >= 10 ----------------------------------------------- Number of degrees of freedom : 877 Chi-square statistic : 847.54 p-value of test : 0.76 ----------------------------------------------- CPU time used : 00:00:12.04 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sstring_AutoCor test: ----------------------------------------------- N = 2, n = 499999937, r = 0, s = 32, d = 1 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.34 p-value of test : 0.55 Kolmogorov-Smirnov- statistic = D- : 0.64 p-value of test : 0.13 Anderson-Darling statistic = A2 : 0.90 p-value of test : 0.40 Tests on the sum of all N observations Standardized normal statistic : 0.54 p-value of test : 0.29 Sample variance : 2.34e-3 p-value of test : 0.96 ----------------------------------------------- CPU time used : 00:00:13.01 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sstring_AutoCor test: ----------------------------------------------- N = 2, n = 499999938, r = 0, s = 32, d = 2 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.79 p-value of test : 0.04 Kolmogorov-Smirnov- statistic = D- : 0.17 p-value of test : 0.80 Anderson-Darling statistic = A2 : 1.63 p-value of test : 0.15 Tests on the sum of all N observations Standardized normal statistic : -1.25 p-value of test : 0.89 Sample variance : 0.011 p-value of test : 0.92 ----------------------------------------------- CPU time used : 00:00:13.01 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sstring_Run test: ----------------------------------------------- N = 1, n = 200000000, r = 0, s = 32 ----------------------------------------------- Total number of 1 runs: 200000001 Number of degrees of freedom : 48 Chi2 statistic for number of runs : 52.54 p-value of test : 0.30 ----------------------------------------------- Total number of bits: 800024320 Normal statistic for number of bits : 0.61 p-value of test : 0.27 ----------------------------------------------- CPU time used : 00:00:13.05 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 976562, r = 0, s = 32, L = 32, k = 32 ----------------------------------------------- Number of degrees of freedom : 4 Chi-square statistic : 4.88 p-value of test : 0.30 ----------------------------------------------- CPU time used : 00:00:17.60 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 9765, r = 0, s = 32, L = 320, k = 320 ----------------------------------------------- Number of degrees of freedom : 3 Chi-square statistic : 1.65 p-value of test : 0.65 ----------------------------------------------- CPU time used : 00:00:19.48 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 953, r = 0, s = 32, L = 1024, k = 1024 ----------------------------------------------- Number of degrees of freedom : 2 Chi-square statistic : 3.94 p-value of test : 0.14 ----------------------------------------------- CPU time used : 00:00:25.79 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system swalk_RandomWalk1 test: ----------------------------------------------- N = 1, n = 7812500, r = 0, s = 32, L0 = 128, L1 = 128 ----------------------------------------------- Test on the values of the Statistic H Number of degrees of freedom : 52 ChiSquare statistic : 34.85 p-value of test : 0.97 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 53 ChiSquare statistic : 49.83 p-value of test : 0.60 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 64 ChiSquare statistic : 65.33 p-value of test : 0.43 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 43 ChiSquare statistic : 30.48 p-value of test : 0.92 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 26 ChiSquare statistic : 18.13 p-value of test : 0.87 ----------------------------------------------- CPU time used : 00:00:18.60 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system swalk_RandomWalk1 test: ----------------------------------------------- N = 1, n = 976562, r = 0, s = 32, L0 = 1024, L1 = 1024 ----------------------------------------------- Test on the values of the Statistic H Number of degrees of freedom : 130 ChiSquare statistic : 119.81 p-value of test : 0.73 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 131 ChiSquare statistic : 136.39 p-value of test : 0.36 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 512 ChiSquare statistic : 505.29 p-value of test : 0.58 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 124 ChiSquare statistic : 146.10 p-value of test : 0.09 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 67 ChiSquare statistic : 90.54 p-value of test : 0.03 ----------------------------------------------- CPU time used : 00:00:18.45 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system swalk_RandomWalk1 test: ----------------------------------------------- N = 1, n = 99840, r = 0, s = 32, L0 = 10016, L1 = 10016 ----------------------------------------------- Test on the values of the Statistic H Number of degrees of freedom : 318 ChiSquare statistic : 301.50 p-value of test : 0.74 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 319 ChiSquare statistic : 311.18 p-value of test : 0.61 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5008 ChiSquare statistic : 5055.79 p-value of test : 0.31 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 315 ChiSquare statistic : 303.88 p-value of test : 0.66 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 169 ChiSquare statistic : 154.13 p-value of test : 0.79 ----------------------------------------------- CPU time used : 00:00:18.42 Generator state: ========= Summary results of Rabbit ========= Version: TestU01 1.2.3 Generator: anti_control_for_6D_discrete_time_system Number of bits: 1000000000 Number of statistics: 40 Total CPU time: 00:08:43.25 All tests were passed xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx Starting Alphabit: nb = 1000000000 Version: TestU01 1.2.3 xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialBitsOver test: ----------------------------------------------- N = 1, n = 1000000000, r = 0, s = 32, L = 2, Sparse = FALSE Number of bits = n = 1000000000 Number of cells = 2^L = 4 Expected number per cell = 2.5e+08 Hashing = FALSE For Delta > -1, we use the ChiSquare approximation Correction factor of the ChiSquare: Delta = 1, Mu = 5.0000004e-10, Sigma = 1 ----------------------------------------------- Test Results for Delta = 1.0000 Number of degrees of freedom : 2 Value of the statistic : 0.81 p-value of test : 0.67 ----------------------------------------------- CPU time used : 00:00:13.11 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialBitsOver test: ----------------------------------------------- N = 1, n = 1000000000, r = 0, s = 32, L = 4, Sparse = FALSE Number of bits = n = 1000000000 Number of cells = 2^L = 16 Expected number per cell = 62500000 Hashing = FALSE For Delta > -1, we use the ChiSquare approximation Correction factor of the ChiSquare: Delta = 1, Mu = 3.5000003e-09, Sigma = 1 ----------------------------------------------- Test Results for Delta = 1.0000 Number of degrees of freedom : 8 Value of the statistic : 3.79 p-value of test : 0.88 ----------------------------------------------- CPU time used : 00:00:13.01 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialBitsOver test: ----------------------------------------------- N = 1, n = 1000000000, r = 0, s = 32, L = 8, Sparse = FALSE Number of bits = n = 1000000000 Number of cells = 2^L = 256 Expected number per cell = 3906250 Hashing = FALSE For Delta > -1, we use the ChiSquare approximation Correction factor of the ChiSquare: Delta = 1, Mu = 6.3500005e-08, Sigma = 1 ----------------------------------------------- Test Results for Delta = 1.0000 Number of degrees of freedom : 128 Value of the statistic : 140.00 p-value of test : 0.22 ----------------------------------------------- CPU time used : 00:00:13.05 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialBitsOver test: ----------------------------------------------- N = 1, n = 1000000000, r = 0, s = 32, L = 16, Sparse = FALSE Number of bits = n = 1000000000 Number of cells = 2^L = 65536 Expected number per cell = 15258.789 Hashing = FALSE For Delta > -1, we use the ChiSquare approximation Correction factor of the ChiSquare: Delta = 1, Mu = 1.6383501e-05, Sigma = 1 ----------------------------------------------- Test Results for Delta = 1.0000 Number of degrees of freedom : 32768 Value of the statistic :33118.24 p-value of test : 0.09 ----------------------------------------------- CPU time used : 00:00:15.83 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sstring_HammingIndep test: ----------------------------------------------- N = 1, n = 31250000, r = 0, s = 32, L = 16, d = 0 Counters with expected numbers >= 10 ----------------------------------------------- Number of degrees of freedom : 257 Chi-square statistic : 266.68 p-value of test : 0.33 ----------------------------------------------- CPU time used : 00:00:12.66 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sstring_HammingIndep test: ----------------------------------------------- N = 1, n = 15625000, r = 0, s = 32, L = 32, d = 0 Counters with expected numbers >= 10 ----------------------------------------------- Number of degrees of freedom : 497 Chi-square statistic : 506.16 p-value of test : 0.38 ----------------------------------------------- CPU time used : 00:00:12.36 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 31250000, r = 0, s = 32, L = 32 ----------------------------------------------- Normal statistic : -1.43 p-value of test : 0.92 ----------------------------------------------- CPU time used : 00:00:12.22 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system swalk_RandomWalk1 test: ----------------------------------------------- N = 1, n = 15625000, r = 0, s = 32, L0 = 64, L1 = 64 ----------------------------------------------- Test on the values of the Statistic H Number of degrees of freedom : 38 ChiSquare statistic : 23.43 p-value of test : 0.97 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 38 ChiSquare statistic : 44.44 p-value of test : 0.22 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 32 ChiSquare statistic : 34.27 p-value of test : 0.36 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 28 ChiSquare statistic : 25.25 p-value of test : 0.61 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 19 ChiSquare statistic : 18.91 p-value of test : 0.46 ----------------------------------------------- CPU time used : 00:00:18.86 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system swalk_RandomWalk1 test: ----------------------------------------------- N = 1, n = 3125000, r = 0, s = 32, L0 = 320, L1 = 320 ----------------------------------------------- Test on the values of the Statistic H Number of degrees of freedom : 78 ChiSquare statistic : 72.27 p-value of test : 0.66 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 79 ChiSquare statistic : 53.84 p-value of test : 0.99 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 160 ChiSquare statistic : 168.96 p-value of test : 0.30 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 71 ChiSquare statistic : 72.40 p-value of test : 0.43 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 40 ChiSquare statistic : 45.50 p-value of test : 0.25 ----------------------------------------------- CPU time used : 00:00:18.66 Generator state: ========= Summary results of Alphabit ========= Version: TestU01 1.2.3 Generator: anti_control_for_6D_discrete_time_system Number of bits: 1000000000 Number of statistics: 17 Total CPU time: 00:02:09.80 All tests were passed xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx Starting pseudoDIEHARD xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx smarsa_BirthdaySpacings test with r = 0, 1, 2, 3, 4, 5, 6, 7, 8, ..... r = 0 ChiSquare statistic : 6.41 p-value of test : 0.38 r = 1 ChiSquare statistic : 4.54 p-value of test : 0.60 r = 2 ChiSquare statistic : 4.85 p-value of test : 0.56 r = 3 ChiSquare statistic : 4.77 p-value of test : 0.57 r = 4 ChiSquare statistic : 6.29 p-value of test : 0.39 r = 5 ChiSquare statistic : 3.01 p-value of test : 0.81 r = 6 ChiSquare statistic : 3.47 p-value of test : 0.75 r = 7 ChiSquare statistic : 3.37 p-value of test : 0.76 r = 8 ChiSquare statistic : 2.72 p-value of test : 0.84 *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 40000, r = 0, s = 31, L = 31, k = 31 ----------------------------------------------- Number of degrees of freedom : 3 Chi-square statistic : 1.50 p-value of test : 0.68 ----------------------------------------------- CPU time used : 00:00:00.70 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 40000, r = 0, s = 32, L = 32, k = 32 ----------------------------------------------- Number of degrees of freedom : 3 Chi-square statistic : 1.87 p-value of test : 0.60 ----------------------------------------------- CPU time used : 00:00:00.70 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 100000, r = 0, s = 8, L = 6, k = 8 ----------------------------------------------- Number of degrees of freedom : 2 Chi-square statistic : 1.99 p-value of test : 0.37 ----------------------------------------------- CPU time used : 00:00:00.25 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 100000, r = 1, s = 8, L = 6, k = 8 ----------------------------------------------- Number of degrees of freedom : 2 Chi-square statistic : 0.23 p-value of test : 0.89 ----------------------------------------------- CPU time used : 00:00:00.25 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 100000, r = 2, s = 8, L = 6, k = 8 ----------------------------------------------- Number of degrees of freedom : 2 Chi-square statistic : 1.30 p-value of test : 0.52 ----------------------------------------------- CPU time used : 00:00:00.25 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 100000, r = 3, s = 8, L = 6, k = 8 ----------------------------------------------- Number of degrees of freedom : 2 Chi-square statistic : 1.97 p-value of test : 0.37 ----------------------------------------------- CPU time used : 00:00:00.25 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 100000, r = 4, s = 8, L = 6, k = 8 ----------------------------------------------- Number of degrees of freedom : 2 Chi-square statistic : 0.017 p-value of test : 0.9916 ----------------------------------------------- CPU time used : 00:00:00.25 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 100000, r = 5, s = 8, L = 6, k = 8 ----------------------------------------------- Number of degrees of freedom : 2 Chi-square statistic : 2.93 p-value of test : 0.23 ----------------------------------------------- CPU time used : 00:00:00.25 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 100000, r = 6, s = 8, L = 6, k = 8 ----------------------------------------------- Number of degrees of freedom : 2 Chi-square statistic : 1.32 p-value of test : 0.52 ----------------------------------------------- CPU time used : 00:00:00.25 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 100000, r = 7, s = 8, L = 6, k = 8 ----------------------------------------------- Number of degrees of freedom : 2 Chi-square statistic : 1.06 p-value of test : 0.59 ----------------------------------------------- CPU time used : 00:00:00.25 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 100000, r = 8, s = 8, L = 6, k = 8 ----------------------------------------------- Number of degrees of freedom : 2 Chi-square statistic : 0.49 p-value of test : 0.78 ----------------------------------------------- CPU time used : 00:00:00.25 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 100000, r = 9, s = 8, L = 6, k = 8 ----------------------------------------------- Number of degrees of freedom : 2 Chi-square statistic : 0.46 p-value of test : 0.79 ----------------------------------------------- CPU time used : 00:00:00.26 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 100000, r = 10, s = 8, L = 6, k = 8 ----------------------------------------------- Number of degrees of freedom : 2 Chi-square statistic : 0.098 p-value of test : 0.95 ----------------------------------------------- CPU time used : 00:00:00.23 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 100000, r = 11, s = 8, L = 6, k = 8 ----------------------------------------------- Number of degrees of freedom : 2 Chi-square statistic : 1.59 p-value of test : 0.45 ----------------------------------------------- CPU time used : 00:00:00.26 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 100000, r = 12, s = 8, L = 6, k = 8 ----------------------------------------------- Number of degrees of freedom : 2 Chi-square statistic : 0.55 p-value of test : 0.76 ----------------------------------------------- CPU time used : 00:00:00.25 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 100000, r = 13, s = 8, L = 6, k = 8 ----------------------------------------------- Number of degrees of freedom : 2 Chi-square statistic : 5.85 p-value of test : 0.05 ----------------------------------------------- CPU time used : 00:00:00.25 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 100000, r = 14, s = 8, L = 6, k = 8 ----------------------------------------------- Number of degrees of freedom : 2 Chi-square statistic : 0.74 p-value of test : 0.69 ----------------------------------------------- CPU time used : 00:00:00.26 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 100000, r = 15, s = 8, L = 6, k = 8 ----------------------------------------------- Number of degrees of freedom : 2 Chi-square statistic : 2.08 p-value of test : 0.35 ----------------------------------------------- CPU time used : 00:00:00.25 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 100000, r = 16, s = 8, L = 6, k = 8 ----------------------------------------------- Number of degrees of freedom : 2 Chi-square statistic : 5.05 p-value of test : 0.08 ----------------------------------------------- CPU time used : 00:00:00.25 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 100000, r = 17, s = 8, L = 6, k = 8 ----------------------------------------------- Number of degrees of freedom : 2 Chi-square statistic : 0.17 p-value of test : 0.92 ----------------------------------------------- CPU time used : 00:00:00.25 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 100000, r = 18, s = 8, L = 6, k = 8 ----------------------------------------------- Number of degrees of freedom : 2 Chi-square statistic : 0.017 p-value of test : 0.9915 ----------------------------------------------- CPU time used : 00:00:00.25 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 100000, r = 19, s = 8, L = 6, k = 8 ----------------------------------------------- Number of degrees of freedom : 2 Chi-square statistic : 2.99 p-value of test : 0.22 ----------------------------------------------- CPU time used : 00:00:00.25 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 100000, r = 20, s = 8, L = 6, k = 8 ----------------------------------------------- Number of degrees of freedom : 2 Chi-square statistic : 3.62 p-value of test : 0.16 ----------------------------------------------- CPU time used : 00:00:00.25 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 100000, r = 21, s = 8, L = 6, k = 8 ----------------------------------------------- Number of degrees of freedom : 2 Chi-square statistic : 2.83 p-value of test : 0.24 ----------------------------------------------- CPU time used : 00:00:00.25 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 100000, r = 22, s = 8, L = 6, k = 8 ----------------------------------------------- Number of degrees of freedom : 2 Chi-square statistic : 1.01 p-value of test : 0.60 ----------------------------------------------- CPU time used : 00:00:00.25 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 100000, r = 23, s = 8, L = 6, k = 8 ----------------------------------------------- Number of degrees of freedom : 2 Chi-square statistic : 3.64 p-value of test : 0.16 ----------------------------------------------- CPU time used : 00:00:00.25 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 100000, r = 24, s = 8, L = 6, k = 8 ----------------------------------------------- Number of degrees of freedom : 2 Chi-square statistic : 0.42 p-value of test : 0.81 ----------------------------------------------- CPU time used : 00:00:00.25 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialBitsOver test: ----------------------------------------------- N = 20, n = 2097152, r = 0, s = 32, L = 20, Sparse = TRUE Number of bits = n = 2097152 Number of cells = 2^L = 1048576 Expected number per cell = 2 EColl = n^2 / (2k) = 2097152 Hashing = FALSE For Delta > -1, we use the normal approximation Mean and standard deviation: Delta = 1, Mu = 524287, Sigma = 1024 ----------------------------------------------- Test Results for Delta = 1.0000 Kolmogorov-Smirnov+ statistic = D+ : 0.19 p-value of test : 0.22 Kolmogorov-Smirnov- statistic = D- : 0.075 p-value of test : 0.76 Anderson-Darling statistic = A2 : 0.67 p-value of test : 0.58 For the sum of the N observations, we use the Normal approximation: Standardized empirical mean : -0.65 p-value of test : 0.74 Standardized empirical correlation : 0.43 p-value of test : 0.33 ----------------------------------------------- CPU time used : 00:00:01.57 Generator state: *********************************************************** Test smarsa_Opso calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 1, n = 2097152, r = 22, d = 1024, t = 2, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1048576 Expected number per cell = 2 EColl = n^2 / (2k) = 2097152 Hashing = FALSE Collision test CollisionOver: density = n / k = 2.00 Expected number of collisions = 1190484.47 Expected standard deviation = 290.33 ----------------------------------------------- Results of CollisionOver test: NORMAL approximation: Value of the standardized statistic : -1.15 p-value of test : 0.88 ----------------------------- Total number of cells containing j balls j = 0 : 141574 j = 1 : 283673 j = 2 : 284260 j = 3 : 189329 j = 4 : 94816 j = 5 : 37845 ----------------------------------------------- CPU time used : 00:00:00.97 Generator state: *********************************************************** Test smarsa_Opso calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 1, n = 2097152, r = 21, d = 1024, t = 2, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1048576 Expected number per cell = 2 EColl = n^2 / (2k) = 2097152 Hashing = FALSE Collision test CollisionOver: density = n / k = 2.00 Expected number of collisions = 1190484.47 Expected standard deviation = 290.33 ----------------------------------------------- Results of CollisionOver test: NORMAL approximation: Value of the standardized statistic : 1.19 p-value of test : 0.12 ----------------------------- Total number of cells containing j balls j = 0 : 142255 j = 1 : 283697 j = 2 : 283449 j = 3 : 189245 j = 4 : 94492 j = 5 : 38004 ----------------------------------------------- CPU time used : 00:00:00.95 Generator state: *********************************************************** Test smarsa_Opso calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 1, n = 2097152, r = 20, d = 1024, t = 2, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1048576 Expected number per cell = 2 EColl = n^2 / (2k) = 2097152 Hashing = FALSE Collision test CollisionOver: density = n / k = 2.00 Expected number of collisions = 1190484.47 Expected standard deviation = 290.33 ----------------------------------------------- Results of CollisionOver test: NORMAL approximation: Value of the standardized statistic : -1.20 p-value of test : 0.88 ----------------------------- Total number of cells containing j balls j = 0 : 141561 j = 1 : 284346 j = 2 : 283647 j = 3 : 189334 j = 4 : 94657 j = 5 : 37589 ----------------------------------------------- CPU time used : 00:00:00.97 Generator state: *********************************************************** Test smarsa_Opso calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 1, n = 2097152, r = 19, d = 1024, t = 2, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1048576 Expected number per cell = 2 EColl = n^2 / (2k) = 2097152 Hashing = FALSE Collision test CollisionOver: density = n / k = 2.00 Expected number of collisions = 1190484.47 Expected standard deviation = 290.33 ----------------------------------------------- Results of CollisionOver test: NORMAL approximation: Value of the standardized statistic : -0.94 p-value of test : 0.83 ----------------------------- Total number of cells containing j balls j = 0 : 141635 j = 1 : 284565 j = 2 : 283215 j = 3 : 189192 j = 4 : 94688 j = 5 : 38004 ----------------------------------------------- CPU time used : 00:00:00.95 Generator state: *********************************************************** Test smarsa_Opso calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 1, n = 2097152, r = 18, d = 1024, t = 2, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1048576 Expected number per cell = 2 EColl = n^2 / (2k) = 2097152 Hashing = FALSE Collision test CollisionOver: density = n / k = 2.00 Expected number of collisions = 1190484.47 Expected standard deviation = 290.33 ----------------------------------------------- Results of CollisionOver test: NORMAL approximation: Value of the standardized statistic : 1.81 p-value of test : 0.04 ----------------------------- Total number of cells containing j balls j = 0 : 142434 j = 1 : 282946 j = 2 : 283899 j = 3 : 189298 j = 4 : 94849 j = 5 : 37919 ----------------------------------------------- CPU time used : 00:00:00.95 Generator state: *********************************************************** Test smarsa_Opso calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 1, n = 2097152, r = 17, d = 1024, t = 2, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1048576 Expected number per cell = 2 EColl = n^2 / (2k) = 2097152 Hashing = FALSE Collision test CollisionOver: density = n / k = 2.00 Expected number of collisions = 1190484.47 Expected standard deviation = 290.33 ----------------------------------------------- Results of CollisionOver test: NORMAL approximation: Value of the standardized statistic : -0.95 p-value of test : 0.83 ----------------------------- Total number of cells containing j balls j = 0 : 141633 j = 1 : 284078 j = 2 : 283372 j = 3 : 190007 j = 4 : 94471 j = 5 : 37755 ----------------------------------------------- CPU time used : 00:00:00.95 Generator state: *********************************************************** Test smarsa_Opso calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 1, n = 2097152, r = 16, d = 1024, t = 2, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1048576 Expected number per cell = 2 EColl = n^2 / (2k) = 2097152 Hashing = FALSE Collision test CollisionOver: density = n / k = 2.00 Expected number of collisions = 1190484.47 Expected standard deviation = 290.33 ----------------------------------------------- Results of CollisionOver test: NORMAL approximation: Value of the standardized statistic : -0.26 p-value of test : 0.60 ----------------------------- Total number of cells containing j balls j = 0 : 141833 j = 1 : 284045 j = 2 : 283223 j = 3 : 189762 j = 4 : 94619 j = 5 : 37803 ----------------------------------------------- CPU time used : 00:00:00.95 Generator state: *********************************************************** Test smarsa_Opso calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 1, n = 2097152, r = 15, d = 1024, t = 2, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1048576 Expected number per cell = 2 EColl = n^2 / (2k) = 2097152 Hashing = FALSE Collision test CollisionOver: density = n / k = 2.00 Expected number of collisions = 1190484.47 Expected standard deviation = 290.33 ----------------------------------------------- Results of CollisionOver test: NORMAL approximation: Value of the standardized statistic : 1.16 p-value of test : 0.12 ----------------------------- Total number of cells containing j balls j = 0 : 142246 j = 1 : 283225 j = 2 : 283920 j = 3 : 189397 j = 4 : 94758 j = 5 : 37592 ----------------------------------------------- CPU time used : 00:00:00.97 Generator state: *********************************************************** Test smarsa_Opso calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 1, n = 2097152, r = 14, d = 1024, t = 2, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1048576 Expected number per cell = 2 EColl = n^2 / (2k) = 2097152 Hashing = FALSE Collision test CollisionOver: density = n / k = 2.00 Expected number of collisions = 1190484.47 Expected standard deviation = 290.33 ----------------------------------------------- Results of CollisionOver test: NORMAL approximation: Value of the standardized statistic : 2.48 p-value of test : 6.5e-3 ----------------------------- Total number of cells containing j balls j = 0 : 142629 j = 1 : 283261 j = 2 : 282877 j = 3 : 189786 j = 4 : 94879 j = 5 : 37823 ----------------------------------------------- CPU time used : 00:00:00.97 Generator state: *********************************************************** Test smarsa_Opso calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 1, n = 2097152, r = 13, d = 1024, t = 2, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1048576 Expected number per cell = 2 EColl = n^2 / (2k) = 2097152 Hashing = FALSE Collision test CollisionOver: density = n / k = 2.00 Expected number of collisions = 1190484.47 Expected standard deviation = 290.33 ----------------------------------------------- Results of CollisionOver test: NORMAL approximation: Value of the standardized statistic : 1.01 p-value of test : 0.16 ----------------------------- Total number of cells containing j balls j = 0 : 142201 j = 1 : 283471 j = 2 : 283966 j = 3 : 188877 j = 4 : 94690 j = 5 : 37929 ----------------------------------------------- CPU time used : 00:00:00.97 Generator state: *********************************************************** Test smarsa_Opso calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 1, n = 2097152, r = 12, d = 1024, t = 2, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1048576 Expected number per cell = 2 EColl = n^2 / (2k) = 2097152 Hashing = FALSE Collision test CollisionOver: density = n / k = 2.00 Expected number of collisions = 1190484.47 Expected standard deviation = 290.33 ----------------------------------------------- Results of CollisionOver test: NORMAL approximation: Value of the standardized statistic : 1.32 p-value of test : 0.09 ----------------------------- Total number of cells containing j balls j = 0 : 142292 j = 1 : 283432 j = 2 : 283309 j = 3 : 189298 j = 4 : 95360 j = 5 : 37760 ----------------------------------------------- CPU time used : 00:00:00.97 Generator state: *********************************************************** Test smarsa_Opso calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 1, n = 2097152, r = 11, d = 1024, t = 2, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1048576 Expected number per cell = 2 EColl = n^2 / (2k) = 2097152 Hashing = FALSE Collision test CollisionOver: density = n / k = 2.00 Expected number of collisions = 1190484.47 Expected standard deviation = 290.33 ----------------------------------------------- Results of CollisionOver test: NORMAL approximation: Value of the standardized statistic : 0.77 p-value of test : 0.22 ----------------------------- Total number of cells containing j balls j = 0 : 142132 j = 1 : 283781 j = 2 : 283787 j = 3 : 188860 j = 4 : 94593 j = 5 : 37957 ----------------------------------------------- CPU time used : 00:00:00.95 Generator state: *********************************************************** Test smarsa_Opso calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 1, n = 2097152, r = 10, d = 1024, t = 2, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1048576 Expected number per cell = 2 EColl = n^2 / (2k) = 2097152 Hashing = FALSE Collision test CollisionOver: density = n / k = 2.00 Expected number of collisions = 1190484.47 Expected standard deviation = 290.33 ----------------------------------------------- Results of CollisionOver test: NORMAL approximation: Value of the standardized statistic : -0.37 p-value of test : 0.64 ----------------------------- Total number of cells containing j balls j = 0 : 141801 j = 1 : 283750 j = 2 : 283857 j = 3 : 189145 j = 4 : 94971 j = 5 : 37904 ----------------------------------------------- CPU time used : 00:00:00.97 Generator state: *********************************************************** Test smarsa_Opso calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 1, n = 2097152, r = 9, d = 1024, t = 2, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1048576 Expected number per cell = 2 EColl = n^2 / (2k) = 2097152 Hashing = FALSE Collision test CollisionOver: density = n / k = 2.00 Expected number of collisions = 1190484.47 Expected standard deviation = 290.33 ----------------------------------------------- Results of CollisionOver test: NORMAL approximation: Value of the standardized statistic : 0.77 p-value of test : 0.22 ----------------------------- Total number of cells containing j balls j = 0 : 142132 j = 1 : 283685 j = 2 : 283869 j = 3 : 188910 j = 4 : 94580 j = 5 : 37982 ----------------------------------------------- CPU time used : 00:00:00.97 Generator state: *********************************************************** Test smarsa_Opso calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 1, n = 2097152, r = 8, d = 1024, t = 2, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1048576 Expected number per cell = 2 EColl = n^2 / (2k) = 2097152 Hashing = FALSE Collision test CollisionOver: density = n / k = 2.00 Expected number of collisions = 1190484.47 Expected standard deviation = 290.33 ----------------------------------------------- Results of CollisionOver test: NORMAL approximation: Value of the standardized statistic : 0.043 p-value of test : 0.48 ----------------------------- Total number of cells containing j balls j = 0 : 141921 j = 1 : 283792 j = 2 : 283483 j = 3 : 189718 j = 4 : 94613 j = 5 : 37696 ----------------------------------------------- CPU time used : 00:00:00.95 Generator state: *********************************************************** Test smarsa_Opso calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 1, n = 2097152, r = 7, d = 1024, t = 2, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1048576 Expected number per cell = 2 EColl = n^2 / (2k) = 2097152 Hashing = FALSE Collision test CollisionOver: density = n / k = 2.00 Expected number of collisions = 1190484.47 Expected standard deviation = 290.33 ----------------------------------------------- Results of CollisionOver test: NORMAL approximation: Value of the standardized statistic : 1.83 p-value of test : 0.03 ----------------------------- Total number of cells containing j balls j = 0 : 142441 j = 1 : 283648 j = 2 : 282974 j = 3 : 189480 j = 4 : 94597 j = 5 : 38051 ----------------------------------------------- CPU time used : 00:00:00.95 Generator state: *********************************************************** Test smarsa_Opso calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 1, n = 2097152, r = 6, d = 1024, t = 2, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1048576 Expected number per cell = 2 EColl = n^2 / (2k) = 2097152 Hashing = FALSE Collision test CollisionOver: density = n / k = 2.00 Expected number of collisions = 1190484.47 Expected standard deviation = 290.33 ----------------------------------------------- Results of CollisionOver test: NORMAL approximation: Value of the standardized statistic : 0.11 p-value of test : 0.46 ----------------------------- Total number of cells containing j balls j = 0 : 141941 j = 1 : 283126 j = 2 : 284483 j = 3 : 189344 j = 4 : 94717 j = 5 : 37723 ----------------------------------------------- CPU time used : 00:00:00.95 Generator state: *********************************************************** Test smarsa_Opso calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 1, n = 2097152, r = 5, d = 1024, t = 2, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1048576 Expected number per cell = 2 EColl = n^2 / (2k) = 2097152 Hashing = FALSE Collision test CollisionOver: density = n / k = 2.00 Expected number of collisions = 1190484.47 Expected standard deviation = 290.33 ----------------------------------------------- Results of CollisionOver test: NORMAL approximation: Value of the standardized statistic : 0.50 p-value of test : 0.31 ----------------------------- Total number of cells containing j balls j = 0 : 142053 j = 1 : 283797 j = 2 : 283887 j = 3 : 188673 j = 4 : 94760 j = 5 : 38055 ----------------------------------------------- CPU time used : 00:00:00.97 Generator state: *********************************************************** Test smarsa_Opso calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 1, n = 2097152, r = 4, d = 1024, t = 2, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1048576 Expected number per cell = 2 EColl = n^2 / (2k) = 2097152 Hashing = FALSE Collision test CollisionOver: density = n / k = 2.00 Expected number of collisions = 1190484.47 Expected standard deviation = 290.33 ----------------------------------------------- Results of CollisionOver test: NORMAL approximation: Value of the standardized statistic : -0.16 p-value of test : 0.56 ----------------------------- Total number of cells containing j balls j = 0 : 141861 j = 1 : 283821 j = 2 : 283728 j = 3 : 189470 j = 4 : 94642 j = 5 : 37655 ----------------------------------------------- CPU time used : 00:00:00.95 Generator state: *********************************************************** Test smarsa_Opso calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 1, n = 2097152, r = 3, d = 1024, t = 2, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1048576 Expected number per cell = 2 EColl = n^2 / (2k) = 2097152 Hashing = FALSE Collision test CollisionOver: density = n / k = 2.00 Expected number of collisions = 1190484.47 Expected standard deviation = 290.33 ----------------------------------------------- Results of CollisionOver test: NORMAL approximation: Value of the standardized statistic : 1.18 p-value of test : 0.12 ----------------------------- Total number of cells containing j balls j = 0 : 142252 j = 1 : 283501 j = 2 : 283393 j = 3 : 189519 j = 4 : 94724 j = 5 : 37907 ----------------------------------------------- CPU time used : 00:00:00.95 Generator state: *********************************************************** Test smarsa_Opso calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 1, n = 2097152, r = 2, d = 1024, t = 2, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1048576 Expected number per cell = 2 EColl = n^2 / (2k) = 2097152 Hashing = FALSE Collision test CollisionOver: density = n / k = 2.00 Expected number of collisions = 1190484.47 Expected standard deviation = 290.33 ----------------------------------------------- Results of CollisionOver test: NORMAL approximation: Value of the standardized statistic : 0.99 p-value of test : 0.16 ----------------------------- Total number of cells containing j balls j = 0 : 142195 j = 1 : 282956 j = 2 : 284966 j = 3 : 188913 j = 4 : 94206 j = 5 : 37737 ----------------------------------------------- CPU time used : 00:00:00.95 Generator state: *********************************************************** Test smarsa_Opso calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 1, n = 2097152, r = 1, d = 1024, t = 2, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1048576 Expected number per cell = 2 EColl = n^2 / (2k) = 2097152 Hashing = FALSE Collision test CollisionOver: density = n / k = 2.00 Expected number of collisions = 1190484.47 Expected standard deviation = 290.33 ----------------------------------------------- Results of CollisionOver test: NORMAL approximation: Value of the standardized statistic : 1.38 p-value of test : 0.08 ----------------------------- Total number of cells containing j balls j = 0 : 142310 j = 1 : 283656 j = 2 : 284295 j = 3 : 188214 j = 4 : 94285 j = 5 : 38171 ----------------------------------------------- CPU time used : 00:00:00.95 Generator state: *********************************************************** Test smarsa_Opso calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 1, n = 2097152, r = 0, d = 1024, t = 2, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1048576 Expected number per cell = 2 EColl = n^2 / (2k) = 2097152 Hashing = FALSE Collision test CollisionOver: density = n / k = 2.00 Expected number of collisions = 1190484.47 Expected standard deviation = 290.33 ----------------------------------------------- Results of CollisionOver test: NORMAL approximation: Value of the standardized statistic : 0.11 p-value of test : 0.46 ----------------------------- Total number of cells containing j balls j = 0 : 141940 j = 1 : 283555 j = 2 : 283900 j = 3 : 189632 j = 4 : 94351 j = 5 : 37854 ----------------------------------------------- CPU time used : 00:00:00.95 Generator state: *********************************************************** Test OQSO calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 1, n = 2097152, r = 27, d = 32, t = 4, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1048576 Expected number per cell = 2 EColl = n^2 / (2k) = 2097152 Hashing = FALSE Collision test CollisionOver: density = n / k = 2.00 Expected number of collisions = 1190482.74 Expected standard deviation = 295.00 ----------------------------------------------- Results of CollisionOver test: NORMAL approximation: Value of the standardized statistic : 1.20 p-value of test : 0.11 ----------------------------- Total number of cells containing j balls j = 0 : 142262 j = 1 : 283537 j = 2 : 283734 j = 3 : 189076 j = 4 : 94604 j = 5 : 37911 ----------------------------------------------- CPU time used : 00:00:00.95 Generator state: *********************************************************** Test OQSO calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 1, n = 2097152, r = 26, d = 32, t = 4, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1048576 Expected number per cell = 2 EColl = n^2 / (2k) = 2097152 Hashing = FALSE Collision test CollisionOver: density = n / k = 2.00 Expected number of collisions = 1190482.74 Expected standard deviation = 295.00 ----------------------------------------------- Results of CollisionOver test: NORMAL approximation: Value of the standardized statistic : 0.20 p-value of test : 0.42 ----------------------------- Total number of cells containing j balls j = 0 : 141966 j = 1 : 283146 j = 2 : 284410 j = 3 : 189534 j = 4 : 94479 j = 5 : 37718 ----------------------------------------------- CPU time used : 00:00:00.95 Generator state: *********************************************************** Test OQSO calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 1, n = 2097152, r = 25, d = 32, t = 4, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1048576 Expected number per cell = 2 EColl = n^2 / (2k) = 2097152 Hashing = FALSE Collision test CollisionOver: density = n / k = 2.00 Expected number of collisions = 1190482.74 Expected standard deviation = 295.00 ----------------------------------------------- Results of CollisionOver test: NORMAL approximation: Value of the standardized statistic : 0.85 p-value of test : 0.20 ----------------------------- Total number of cells containing j balls j = 0 : 142158 j = 1 : 283294 j = 2 : 283526 j = 3 : 190225 j = 4 : 94377 j = 5 : 37584 ----------------------------------------------- CPU time used : 00:00:00.97 Generator state: *********************************************************** Test OQSO calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 1, n = 2097152, r = 24, d = 32, t = 4, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1048576 Expected number per cell = 2 EColl = n^2 / (2k) = 2097152 Hashing = FALSE Collision test CollisionOver: density = n / k = 2.00 Expected number of collisions = 1190482.74 Expected standard deviation = 295.00 ----------------------------------------------- Results of CollisionOver test: NORMAL approximation: Value of the standardized statistic : -0.99 p-value of test : 0.84 ----------------------------- Total number of cells containing j balls j = 0 : 141615 j = 1 : 284274 j = 2 : 283682 j = 3 : 189348 j = 4 : 94489 j = 5 : 37670 ----------------------------------------------- CPU time used : 00:00:00.95 Generator state: *********************************************************** Test OQSO calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 1, n = 2097152, r = 23, d = 32, t = 4, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1048576 Expected number per cell = 2 EColl = n^2 / (2k) = 2097152 Hashing = FALSE Collision test CollisionOver: density = n / k = 2.00 Expected number of collisions = 1190482.74 Expected standard deviation = 295.00 ----------------------------------------------- Results of CollisionOver test: NORMAL approximation: Value of the standardized statistic : -0.25 p-value of test : 0.60 ----------------------------- Total number of cells containing j balls j = 0 : 141834 j = 1 : 283989 j = 2 : 283708 j = 3 : 189536 j = 4 : 94212 j = 5 : 37782 ----------------------------------------------- CPU time used : 00:00:00.95 Generator state: *********************************************************** Test OQSO calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 1, n = 2097152, r = 22, d = 32, t = 4, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1048576 Expected number per cell = 2 EColl = n^2 / (2k) = 2097152 Hashing = FALSE Collision test CollisionOver: density = n / k = 2.00 Expected number of collisions = 1190482.74 Expected standard deviation = 295.00 ----------------------------------------------- Results of CollisionOver test: NORMAL approximation: Value of the standardized statistic : 0.014 p-value of test : 0.49 ----------------------------- Total number of cells containing j balls j = 0 : 141911 j = 1 : 283367 j = 2 : 283957 j = 3 : 189795 j = 4 : 94617 j = 5 : 37680 ----------------------------------------------- CPU time used : 00:00:00.95 Generator state: *********************************************************** Test OQSO calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 1, n = 2097152, r = 21, d = 32, t = 4, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1048576 Expected number per cell = 2 EColl = n^2 / (2k) = 2097152 Hashing = FALSE Collision test CollisionOver: density = n / k = 2.00 Expected number of collisions = 1190482.74 Expected standard deviation = 295.00 ----------------------------------------------- Results of CollisionOver test: NORMAL approximation: Value of the standardized statistic : 0.21 p-value of test : 0.42 ----------------------------- Total number of cells containing j balls j = 0 : 141970 j = 1 : 283720 j = 2 : 284350 j = 3 : 188357 j = 4 : 94753 j = 5 : 38124 ----------------------------------------------- CPU time used : 00:00:00.95 Generator state: *********************************************************** Test OQSO calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 1, n = 2097152, r = 20, d = 32, t = 4, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1048576 Expected number per cell = 2 EColl = n^2 / (2k) = 2097152 Hashing = FALSE Collision test CollisionOver: density = n / k = 2.00 Expected number of collisions = 1190482.74 Expected standard deviation = 295.00 ----------------------------------------------- Results of CollisionOver test: NORMAL approximation: Value of the standardized statistic : 1.53 p-value of test : 0.06 ----------------------------- Total number of cells containing j balls j = 0 : 142358 j = 1 : 283222 j = 2 : 283980 j = 3 : 188974 j = 4 : 94852 j = 5 : 37737 ----------------------------------------------- CPU time used : 00:00:00.95 Generator state: *********************************************************** Test OQSO calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 1, n = 2097152, r = 19, d = 32, t = 4, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1048576 Expected number per cell = 2 EColl = n^2 / (2k) = 2097152 Hashing = FALSE Collision test CollisionOver: density = n / k = 2.00 Expected number of collisions = 1190482.74 Expected standard deviation = 295.00 ----------------------------------------------- Results of CollisionOver test: NORMAL approximation: Value of the standardized statistic : -0.17 p-value of test : 0.57 ----------------------------- Total number of cells containing j balls j = 0 : 141858 j = 1 : 283545 j = 2 : 283931 j = 3 : 189819 j = 4 : 94243 j = 5 : 37938 ----------------------------------------------- CPU time used : 00:00:00.95 Generator state: *********************************************************** Test OQSO calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 1, n = 2097152, r = 18, d = 32, t = 4, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1048576 Expected number per cell = 2 EColl = n^2 / (2k) = 2097152 Hashing = FALSE Collision test CollisionOver: density = n / k = 2.00 Expected number of collisions = 1190482.74 Expected standard deviation = 295.00 ----------------------------------------------- Results of CollisionOver test: NORMAL approximation: Value of the standardized statistic : -0.094 p-value of test : 0.54 ----------------------------- Total number of cells containing j balls j = 0 : 141879 j = 1 : 284360 j = 2 : 283499 j = 3 : 189123 j = 4 : 93855 j = 5 : 38426 ----------------------------------------------- CPU time used : 00:00:00.95 Generator state: *********************************************************** Test OQSO calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 1, n = 2097152, r = 17, d = 32, t = 4, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1048576 Expected number per cell = 2 EColl = n^2 / (2k) = 2097152 Hashing = FALSE Collision test CollisionOver: density = n / k = 2.00 Expected number of collisions = 1190482.74 Expected standard deviation = 295.00 ----------------------------------------------- Results of CollisionOver test: NORMAL approximation: Value of the standardized statistic : 0.80 p-value of test : 0.21 ----------------------------- Total number of cells containing j balls j = 0 : 142143 j = 1 : 283790 j = 2 : 283286 j = 3 : 189643 j = 4 : 94434 j = 5 : 37795 ----------------------------------------------- CPU time used : 00:00:00.95 Generator state: *********************************************************** Test OQSO calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 1, n = 2097152, r = 16, d = 32, t = 4, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1048576 Expected number per cell = 2 EColl = n^2 / (2k) = 2097152 Hashing = FALSE Collision test CollisionOver: density = n / k = 2.00 Expected number of collisions = 1190482.74 Expected standard deviation = 295.00 ----------------------------------------------- Results of CollisionOver test: NORMAL approximation: Value of the standardized statistic : 0.34 p-value of test : 0.37 ----------------------------- Total number of cells containing j balls j = 0 : 142007 j = 1 : 283441 j = 2 : 284216 j = 3 : 189018 j = 4 : 94722 j = 5 : 37897 ----------------------------------------------- CPU time used : 00:00:00.95 Generator state: *********************************************************** Test OQSO calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 1, n = 2097152, r = 15, d = 32, t = 4, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1048576 Expected number per cell = 2 EColl = n^2 / (2k) = 2097152 Hashing = FALSE Collision test CollisionOver: density = n / k = 2.00 Expected number of collisions = 1190482.74 Expected standard deviation = 295.00 ----------------------------------------------- Results of CollisionOver test: NORMAL approximation: Value of the standardized statistic : -0.22 p-value of test : 0.59 ----------------------------- Total number of cells containing j balls j = 0 : 141841 j = 1 : 283813 j = 2 : 283708 j = 3 : 189682 j = 4 : 94467 j = 5 : 37630 ----------------------------------------------- CPU time used : 00:00:00.95 Generator state: *********************************************************** Test OQSO calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 1, n = 2097152, r = 14, d = 32, t = 4, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1048576 Expected number per cell = 2 EColl = n^2 / (2k) = 2097152 Hashing = FALSE Collision test CollisionOver: density = n / k = 2.00 Expected number of collisions = 1190482.74 Expected standard deviation = 295.00 ----------------------------------------------- Results of CollisionOver test: NORMAL approximation: Value of the standardized statistic : -2.43 p-value of test : 0.9925 ----------------------------- Total number of cells containing j balls j = 0 : 141189 j = 1 : 284756 j = 2 : 283771 j = 3 : 189285 j = 4 : 94447 j = 5 : 37723 ----------------------------------------------- CPU time used : 00:00:00.95 Generator state: *********************************************************** Test OQSO calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 1, n = 2097152, r = 13, d = 32, t = 4, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1048576 Expected number per cell = 2 EColl = n^2 / (2k) = 2097152 Hashing = FALSE Collision test CollisionOver: density = n / k = 2.00 Expected number of collisions = 1190482.74 Expected standard deviation = 295.00 ----------------------------------------------- Results of CollisionOver test: NORMAL approximation: Value of the standardized statistic : 1.35 p-value of test : 0.09 ----------------------------- Total number of cells containing j balls j = 0 : 142305 j = 1 : 283416 j = 2 : 283762 j = 3 : 189190 j = 4 : 94479 j = 5 : 37895 ----------------------------------------------- CPU time used : 00:00:00.95 Generator state: *********************************************************** Test OQSO calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 1, n = 2097152, r = 12, d = 32, t = 4, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1048576 Expected number per cell = 2 EColl = n^2 / (2k) = 2097152 Hashing = FALSE Collision test CollisionOver: density = n / k = 2.00 Expected number of collisions = 1190482.74 Expected standard deviation = 295.00 ----------------------------------------------- Results of CollisionOver test: NORMAL approximation: Value of the standardized statistic : 0.38 p-value of test : 0.35 ----------------------------- Total number of cells containing j balls j = 0 : 142018 j = 1 : 283663 j = 2 : 283464 j = 3 : 189754 j = 4 : 94409 j = 5 : 38097 ----------------------------------------------- CPU time used : 00:00:00.98 Generator state: *********************************************************** Test OQSO calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 1, n = 2097152, r = 11, d = 32, t = 4, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1048576 Expected number per cell = 2 EColl = n^2 / (2k) = 2097152 Hashing = FALSE Collision test CollisionOver: density = n / k = 2.00 Expected number of collisions = 1190482.74 Expected standard deviation = 295.00 ----------------------------------------------- Results of CollisionOver test: NORMAL approximation: Value of the standardized statistic : 0.96 p-value of test : 0.17 ----------------------------- Total number of cells containing j balls j = 0 : 142189 j = 1 : 284005 j = 2 : 283229 j = 3 : 188808 j = 4 : 95038 j = 5 : 37879 ----------------------------------------------- CPU time used : 00:00:00.95 Generator state: *********************************************************** Test OQSO calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 1, n = 2097152, r = 10, d = 32, t = 4, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1048576 Expected number per cell = 2 EColl = n^2 / (2k) = 2097152 Hashing = FALSE Collision test CollisionOver: density = n / k = 2.00 Expected number of collisions = 1190482.74 Expected standard deviation = 295.00 ----------------------------------------------- Results of CollisionOver test: NORMAL approximation: Value of the standardized statistic : 0.75 p-value of test : 0.23 ----------------------------- Total number of cells containing j balls j = 0 : 142127 j = 1 : 283299 j = 2 : 284060 j = 3 : 189641 j = 4 : 94136 j = 5 : 37863 ----------------------------------------------- CPU time used : 00:00:00.95 Generator state: *********************************************************** Test OQSO calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 1, n = 2097152, r = 9, d = 32, t = 4, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1048576 Expected number per cell = 2 EColl = n^2 / (2k) = 2097152 Hashing = FALSE Collision test CollisionOver: density = n / k = 2.00 Expected number of collisions = 1190482.74 Expected standard deviation = 295.00 ----------------------------------------------- Results of CollisionOver test: NORMAL approximation: Value of the standardized statistic : -0.12 p-value of test : 0.55 ----------------------------- Total number of cells containing j balls j = 0 : 141870 j = 1 : 284323 j = 2 : 283224 j = 3 : 189332 j = 4 : 94470 j = 5 : 37915 ----------------------------------------------- CPU time used : 00:00:00.95 Generator state: *********************************************************** Test OQSO calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 1, n = 2097152, r = 8, d = 32, t = 4, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1048576 Expected number per cell = 2 EColl = n^2 / (2k) = 2097152 Hashing = FALSE Collision test CollisionOver: density = n / k = 2.00 Expected number of collisions = 1190482.74 Expected standard deviation = 295.00 ----------------------------------------------- Results of CollisionOver test: NORMAL approximation: Value of the standardized statistic : -0.28 p-value of test : 0.61 ----------------------------- Total number of cells containing j balls j = 0 : 141823 j = 1 : 284334 j = 2 : 283173 j = 3 : 189831 j = 4 : 93914 j = 5 : 37970 ----------------------------------------------- CPU time used : 00:00:00.95 Generator state: *********************************************************** Test OQSO calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 1, n = 2097152, r = 7, d = 32, t = 4, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1048576 Expected number per cell = 2 EColl = n^2 / (2k) = 2097152 Hashing = FALSE Collision test CollisionOver: density = n / k = 2.00 Expected number of collisions = 1190482.74 Expected standard deviation = 295.00 ----------------------------------------------- Results of CollisionOver test: NORMAL approximation: Value of the standardized statistic : 0.37 p-value of test : 0.35 ----------------------------- Total number of cells containing j balls j = 0 : 142017 j = 1 : 283122 j = 2 : 284117 j = 3 : 189551 j = 4 : 94874 j = 5 : 37723 ----------------------------------------------- CPU time used : 00:00:00.94 Generator state: *********************************************************** Test OQSO calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 1, n = 2097152, r = 6, d = 32, t = 4, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1048576 Expected number per cell = 2 EColl = n^2 / (2k) = 2097152 Hashing = FALSE Collision test CollisionOver: density = n / k = 2.00 Expected number of collisions = 1190482.74 Expected standard deviation = 295.00 ----------------------------------------------- Results of CollisionOver test: NORMAL approximation: Value of the standardized statistic : -1.95 p-value of test : 0.97 ----------------------------- Total number of cells containing j balls j = 0 : 141331 j = 1 : 284286 j = 2 : 284600 j = 3 : 188400 j = 4 : 94907 j = 5 : 37763 ----------------------------------------------- CPU time used : 00:00:00.95 Generator state: *********************************************************** Test OQSO calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 1, n = 2097152, r = 5, d = 32, t = 4, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1048576 Expected number per cell = 2 EColl = n^2 / (2k) = 2097152 Hashing = FALSE Collision test CollisionOver: density = n / k = 2.00 Expected number of collisions = 1190482.74 Expected standard deviation = 295.00 ----------------------------------------------- Results of CollisionOver test: NORMAL approximation: Value of the standardized statistic : -1.19 p-value of test : 0.88 ----------------------------- Total number of cells containing j balls j = 0 : 141556 j = 1 : 284081 j = 2 : 284040 j = 3 : 189146 j = 4 : 94678 j = 5 : 37736 ----------------------------------------------- CPU time used : 00:00:00.95 Generator state: *********************************************************** Test OQSO calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 1, n = 2097152, r = 4, d = 32, t = 4, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1048576 Expected number per cell = 2 EColl = n^2 / (2k) = 2097152 Hashing = FALSE Collision test CollisionOver: density = n / k = 2.00 Expected number of collisions = 1190482.74 Expected standard deviation = 295.00 ----------------------------------------------- Results of CollisionOver test: NORMAL approximation: Value of the standardized statistic : -0.77 p-value of test : 0.78 ----------------------------- Total number of cells containing j balls j = 0 : 141679 j = 1 : 283990 j = 2 : 284148 j = 3 : 188955 j = 4 : 94676 j = 5 : 37706 ----------------------------------------------- CPU time used : 00:00:00.95 Generator state: *********************************************************** Test OQSO calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 1, n = 2097152, r = 3, d = 32, t = 4, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1048576 Expected number per cell = 2 EColl = n^2 / (2k) = 2097152 Hashing = FALSE Collision test CollisionOver: density = n / k = 2.00 Expected number of collisions = 1190482.74 Expected standard deviation = 295.00 ----------------------------------------------- Results of CollisionOver test: NORMAL approximation: Value of the standardized statistic : 1.83 p-value of test : 0.03 ----------------------------- Total number of cells containing j balls j = 0 : 142448 j = 1 : 284184 j = 2 : 282652 j = 3 : 188987 j = 4 : 94688 j = 5 : 38002 ----------------------------------------------- CPU time used : 00:00:00.95 Generator state: *********************************************************** Test OQSO calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 1, n = 2097152, r = 2, d = 32, t = 4, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1048576 Expected number per cell = 2 EColl = n^2 / (2k) = 2097152 Hashing = FALSE Collision test CollisionOver: density = n / k = 2.00 Expected number of collisions = 1190482.74 Expected standard deviation = 295.00 ----------------------------------------------- Results of CollisionOver test: NORMAL approximation: Value of the standardized statistic : 1.27 p-value of test : 0.10 ----------------------------- Total number of cells containing j balls j = 0 : 142282 j = 1 : 283520 j = 2 : 283711 j = 3 : 188795 j = 4 : 95138 j = 5 : 37751 ----------------------------------------------- CPU time used : 00:00:00.97 Generator state: *********************************************************** Test OQSO calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 1, n = 2097152, r = 1, d = 32, t = 4, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1048576 Expected number per cell = 2 EColl = n^2 / (2k) = 2097152 Hashing = FALSE Collision test CollisionOver: density = n / k = 2.00 Expected number of collisions = 1190482.74 Expected standard deviation = 295.00 ----------------------------------------------- Results of CollisionOver test: NORMAL approximation: Value of the standardized statistic : 0.43 p-value of test : 0.33 ----------------------------- Total number of cells containing j balls j = 0 : 142035 j = 1 : 283358 j = 2 : 284328 j = 3 : 189074 j = 4 : 94352 j = 5 : 38220 ----------------------------------------------- CPU time used : 00:00:00.95 Generator state: *********************************************************** Test OQSO calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 1, n = 2097152, r = 0, d = 32, t = 4, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1048576 Expected number per cell = 2 EColl = n^2 / (2k) = 2097152 Hashing = FALSE Collision test CollisionOver: density = n / k = 2.00 Expected number of collisions = 1190482.74 Expected standard deviation = 295.00 ----------------------------------------------- Results of CollisionOver test: NORMAL approximation: Value of the standardized statistic : -0.44 p-value of test : 0.67 ----------------------------- Total number of cells containing j balls j = 0 : 141778 j = 1 : 284065 j = 2 : 283832 j = 3 : 189084 j = 4 : 94322 j = 5 : 38214 ----------------------------------------------- CPU time used : 00:00:00.95 Generator state: *********************************************************** Test DNA calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 1, n = 2097152, r = 30, d = 4, t = 10, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1048576 Expected number per cell = 2 EColl = n^2 / (2k) = 2097152 Hashing = FALSE Collision test CollisionOver: density = n / k = 2.00 Expected number of collisions = 1190477.55 Expected standard deviation = 339.00 ----------------------------------------------- Results of CollisionOver test: NORMAL approximation: Value of the standardized statistic : -0.084 p-value of test : 0.53 ----------------------------- Total number of cells containing j balls j = 0 : 141873 j = 1 : 283684 j = 2 : 283643 j = 3 : 190015 j = 4 : 94327 j = 5 : 37672 ----------------------------------------------- CPU time used : 00:00:00.98 Generator state: *********************************************************** Test DNA calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 1, n = 2097152, r = 29, d = 4, t = 10, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1048576 Expected number per cell = 2 EColl = n^2 / (2k) = 2097152 Hashing = FALSE Collision test CollisionOver: density = n / k = 2.00 Expected number of collisions = 1190477.55 Expected standard deviation = 339.00 ----------------------------------------------- Results of CollisionOver test: NORMAL approximation: Value of the standardized statistic : -1.16 p-value of test : 0.88 ----------------------------- Total number of cells containing j balls j = 0 : 141509 j = 1 : 285015 j = 2 : 283123 j = 3 : 189076 j = 4 : 94450 j = 5 : 37907 ----------------------------------------------- CPU time used : 00:00:00.98 Generator state: *********************************************************** Test DNA calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 1, n = 2097152, r = 28, d = 4, t = 10, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1048576 Expected number per cell = 2 EColl = n^2 / (2k) = 2097152 Hashing = FALSE Collision test CollisionOver: density = n / k = 2.00 Expected number of collisions = 1190477.55 Expected standard deviation = 339.00 ----------------------------------------------- Results of CollisionOver test: NORMAL approximation: Value of the standardized statistic : 0.53 p-value of test : 0.30 ----------------------------- Total number of cells containing j balls j = 0 : 142081 j = 1 : 283706 j = 2 : 283352 j = 3 : 189905 j = 4 : 94461 j = 5 : 37578 ----------------------------------------------- CPU time used : 00:00:00.98 Generator state: *********************************************************** Test DNA calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 1, n = 2097152, r = 27, d = 4, t = 10, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1048576 Expected number per cell = 2 EColl = n^2 / (2k) = 2097152 Hashing = FALSE Collision test CollisionOver: density = n / k = 2.00 Expected number of collisions = 1190477.55 Expected standard deviation = 339.00 ----------------------------------------------- Results of CollisionOver test: NORMAL approximation: Value of the standardized statistic : -0.28 p-value of test : 0.61 ----------------------------- Total number of cells containing j balls j = 0 : 141807 j = 1 : 283912 j = 2 : 283870 j = 3 : 189018 j = 4 : 94798 j = 5 : 37869 ----------------------------------------------- CPU time used : 00:00:01.00 Generator state: *********************************************************** Test DNA calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 1, n = 2097152, r = 26, d = 4, t = 10, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1048576 Expected number per cell = 2 EColl = n^2 / (2k) = 2097152 Hashing = FALSE Collision test CollisionOver: density = n / k = 2.00 Expected number of collisions = 1190477.55 Expected standard deviation = 339.00 ----------------------------------------------- Results of CollisionOver test: NORMAL approximation: Value of the standardized statistic : 1.63 p-value of test : 0.05 ----------------------------- Total number of cells containing j balls j = 0 : 142454 j = 1 : 283058 j = 2 : 284322 j = 3 : 188668 j = 4 : 94688 j = 5 : 37900 ----------------------------------------------- CPU time used : 00:00:00.98 Generator state: *********************************************************** Test DNA calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 1, n = 2097152, r = 25, d = 4, t = 10, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1048576 Expected number per cell = 2 EColl = n^2 / (2k) = 2097152 Hashing = FALSE Collision test CollisionOver: density = n / k = 2.00 Expected number of collisions = 1190477.55 Expected standard deviation = 339.00 ----------------------------------------------- Results of CollisionOver test: NORMAL approximation: Value of the standardized statistic : -0.76 p-value of test : 0.78 ----------------------------- Total number of cells containing j balls j = 0 : 141643 j = 1 : 283404 j = 2 : 284814 j = 3 : 188945 j = 4 : 94984 j = 5 : 37513 ----------------------------------------------- CPU time used : 00:00:00.98 Generator state: *********************************************************** Test DNA calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 1, n = 2097152, r = 24, d = 4, t = 10, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1048576 Expected number per cell = 2 EColl = n^2 / (2k) = 2097152 Hashing = FALSE Collision test CollisionOver: density = n / k = 2.00 Expected number of collisions = 1190477.55 Expected standard deviation = 339.00 ----------------------------------------------- Results of CollisionOver test: NORMAL approximation: Value of the standardized statistic : 0.022 p-value of test : 0.49 ----------------------------- Total number of cells containing j balls j = 0 : 141909 j = 1 : 283768 j = 2 : 283745 j = 3 : 189318 j = 4 : 94801 j = 5 : 37648 ----------------------------------------------- CPU time used : 00:00:00.98 Generator state: *********************************************************** Test DNA calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 1, n = 2097152, r = 23, d = 4, t = 10, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1048576 Expected number per cell = 2 EColl = n^2 / (2k) = 2097152 Hashing = FALSE Collision test CollisionOver: density = n / k = 2.00 Expected number of collisions = 1190477.55 Expected standard deviation = 339.00 ----------------------------------------------- Results of CollisionOver test: NORMAL approximation: Value of the standardized statistic : -0.83 p-value of test : 0.80 ----------------------------- Total number of cells containing j balls j = 0 : 141620 j = 1 : 284381 j = 2 : 283944 j = 3 : 188423 j = 4 : 94918 j = 5 : 37962 ----------------------------------------------- CPU time used : 00:00:00.98 Generator state: *********************************************************** Test DNA calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 1, n = 2097152, r = 22, d = 4, t = 10, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1048576 Expected number per cell = 2 EColl = n^2 / (2k) = 2097152 Hashing = FALSE Collision test CollisionOver: density = n / k = 2.00 Expected number of collisions = 1190477.55 Expected standard deviation = 339.00 ----------------------------------------------- Results of CollisionOver test: NORMAL approximation: Value of the standardized statistic : -0.019 p-value of test : 0.51 ----------------------------- Total number of cells containing j balls j = 0 : 141895 j = 1 : 283802 j = 2 : 283855 j = 3 : 189556 j = 4 : 94230 j = 5 : 37680 ----------------------------------------------- CPU time used : 00:00:00.98 Generator state: *********************************************************** Test DNA calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 1, n = 2097152, r = 21, d = 4, t = 10, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1048576 Expected number per cell = 2 EColl = n^2 / (2k) = 2097152 Hashing = FALSE Collision test CollisionOver: density = n / k = 2.00 Expected number of collisions = 1190477.55 Expected standard deviation = 339.00 ----------------------------------------------- Results of CollisionOver test: NORMAL approximation: Value of the standardized statistic : -0.52 p-value of test : 0.70 ----------------------------- Total number of cells containing j balls j = 0 : 141726 j = 1 : 284248 j = 2 : 283494 j = 3 : 189508 j = 4 : 94384 j = 5 : 37800 ----------------------------------------------- CPU time used : 00:00:00.98 Generator state: *********************************************************** Test DNA calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 1, n = 2097152, r = 20, d = 4, t = 10, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1048576 Expected number per cell = 2 EColl = n^2 / (2k) = 2097152 Hashing = FALSE Collision test CollisionOver: density = n / k = 2.00 Expected number of collisions = 1190477.55 Expected standard deviation = 339.00 ----------------------------------------------- Results of CollisionOver test: NORMAL approximation: Value of the standardized statistic : -0.60 p-value of test : 0.72 ----------------------------- Total number of cells containing j balls j = 0 : 141699 j = 1 : 284736 j = 2 : 283274 j = 3 : 188627 j = 4 : 94877 j = 5 : 37879 ----------------------------------------------- CPU time used : 00:00:00.98 Generator state: *********************************************************** Test DNA calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 1, n = 2097152, r = 19, d = 4, t = 10, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1048576 Expected number per cell = 2 EColl = n^2 / (2k) = 2097152 Hashing = FALSE Collision test CollisionOver: density = n / k = 2.00 Expected number of collisions = 1190477.55 Expected standard deviation = 339.00 ----------------------------------------------- Results of CollisionOver test: NORMAL approximation: Value of the standardized statistic : -1.95 p-value of test : 0.97 ----------------------------- Total number of cells containing j balls j = 0 : 141242 j = 1 : 284018 j = 2 : 284857 j = 3 : 188909 j = 4 : 94358 j = 5 : 37923 ----------------------------------------------- CPU time used : 00:00:00.98 Generator state: *********************************************************** Test DNA calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 1, n = 2097152, r = 18, d = 4, t = 10, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1048576 Expected number per cell = 2 EColl = n^2 / (2k) = 2097152 Hashing = FALSE Collision test CollisionOver: density = n / k = 2.00 Expected number of collisions = 1190477.55 Expected standard deviation = 339.00 ----------------------------------------------- Results of CollisionOver test: NORMAL approximation: Value of the standardized statistic : 0.43 p-value of test : 0.33 ----------------------------- Total number of cells containing j balls j = 0 : 142048 j = 1 : 283785 j = 2 : 283820 j = 3 : 189133 j = 4 : 94362 j = 5 : 37899 ----------------------------------------------- CPU time used : 00:00:00.98 Generator state: *********************************************************** Test DNA calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 1, n = 2097152, r = 17, d = 4, t = 10, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1048576 Expected number per cell = 2 EColl = n^2 / (2k) = 2097152 Hashing = FALSE Collision test CollisionOver: density = n / k = 2.00 Expected number of collisions = 1190477.55 Expected standard deviation = 339.00 ----------------------------------------------- Results of CollisionOver test: NORMAL approximation: Value of the standardized statistic : 0.63 p-value of test : 0.27 ----------------------------- Total number of cells containing j balls j = 0 : 142114 j = 1 : 283782 j = 2 : 283623 j = 3 : 189099 j = 4 : 94665 j = 5 : 37959 ----------------------------------------------- CPU time used : 00:00:00.98 Generator state: *********************************************************** Test DNA calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 1, n = 2097152, r = 16, d = 4, t = 10, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1048576 Expected number per cell = 2 EColl = n^2 / (2k) = 2097152 Hashing = FALSE Collision test CollisionOver: density = n / k = 2.00 Expected number of collisions = 1190477.55 Expected standard deviation = 339.00 ----------------------------------------------- Results of CollisionOver test: NORMAL approximation: Value of the standardized statistic : -1.10 p-value of test : 0.86 ----------------------------- Total number of cells containing j balls j = 0 : 141529 j = 1 : 284256 j = 2 : 283682 j = 3 : 188989 j = 4 : 95426 j = 5 : 37526 ----------------------------------------------- CPU time used : 00:00:00.98 Generator state: *********************************************************** Test DNA calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 1, n = 2097152, r = 15, d = 4, t = 10, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1048576 Expected number per cell = 2 EColl = n^2 / (2k) = 2097152 Hashing = FALSE Collision test CollisionOver: density = n / k = 2.00 Expected number of collisions = 1190477.55 Expected standard deviation = 339.00 ----------------------------------------------- Results of CollisionOver test: NORMAL approximation: Value of the standardized statistic : -0.12 p-value of test : 0.55 ----------------------------- Total number of cells containing j balls j = 0 : 141862 j = 1 : 283679 j = 2 : 284140 j = 3 : 189251 j = 4 : 94228 j = 5 : 38086 ----------------------------------------------- CPU time used : 00:00:00.98 Generator state: *********************************************************** Test DNA calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 1, n = 2097152, r = 14, d = 4, t = 10, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1048576 Expected number per cell = 2 EColl = n^2 / (2k) = 2097152 Hashing = FALSE Collision test CollisionOver: density = n / k = 2.00 Expected number of collisions = 1190477.55 Expected standard deviation = 339.00 ----------------------------------------------- Results of CollisionOver test: NORMAL approximation: Value of the standardized statistic : -0.99 p-value of test : 0.84 ----------------------------- Total number of cells containing j balls j = 0 : 141565 j = 1 : 283139 j = 2 : 284667 j = 3 : 189984 j = 4 : 94621 j = 5 : 37435 ----------------------------------------------- CPU time used : 00:00:00.98 Generator state: *********************************************************** Test DNA calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 1, n = 2097152, r = 13, d = 4, t = 10, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1048576 Expected number per cell = 2 EColl = n^2 / (2k) = 2097152 Hashing = FALSE Collision test CollisionOver: density = n / k = 2.00 Expected number of collisions = 1190477.55 Expected standard deviation = 339.00 ----------------------------------------------- Results of CollisionOver test: NORMAL approximation: Value of the standardized statistic : -0.29 p-value of test : 0.61 ----------------------------- Total number of cells containing j balls j = 0 : 141803 j = 1 : 284153 j = 2 : 282791 j = 3 : 190032 j = 4 : 94828 j = 5 : 37959 ----------------------------------------------- CPU time used : 00:00:00.98 Generator state: *********************************************************** Test DNA calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 1, n = 2097152, r = 12, d = 4, t = 10, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1048576 Expected number per cell = 2 EColl = n^2 / (2k) = 2097152 Hashing = FALSE Collision test CollisionOver: density = n / k = 2.00 Expected number of collisions = 1190477.55 Expected standard deviation = 339.00 ----------------------------------------------- Results of CollisionOver test: NORMAL approximation: Value of the standardized statistic : 2.36 p-value of test : 9.1e-3 ----------------------------- Total number of cells containing j balls j = 0 : 142702 j = 1 : 283116 j = 2 : 283019 j = 3 : 189932 j = 4 : 94437 j = 5 : 38009 ----------------------------------------------- CPU time used : 00:00:00.98 Generator state: *********************************************************** Test DNA calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 1, n = 2097152, r = 11, d = 4, t = 10, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1048576 Expected number per cell = 2 EColl = n^2 / (2k) = 2097152 Hashing = FALSE Collision test CollisionOver: density = n / k = 2.00 Expected number of collisions = 1190477.55 Expected standard deviation = 339.00 ----------------------------------------------- Results of CollisionOver test: NORMAL approximation: Value of the standardized statistic : 0.87 p-value of test : 0.19 ----------------------------- Total number of cells containing j balls j = 0 : 142197 j = 1 : 283228 j = 2 : 283528 j = 3 : 189796 j = 4 : 94980 j = 5 : 37666 ----------------------------------------------- CPU time used : 00:00:01.00 Generator state: *********************************************************** Test DNA calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 1, n = 2097152, r = 10, d = 4, t = 10, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1048576 Expected number per cell = 2 EColl = n^2 / (2k) = 2097152 Hashing = FALSE Collision test CollisionOver: density = n / k = 2.00 Expected number of collisions = 1190477.55 Expected standard deviation = 339.00 ----------------------------------------------- Results of CollisionOver test: NORMAL approximation: Value of the standardized statistic : -0.57 p-value of test : 0.72 ----------------------------- Total number of cells containing j balls j = 0 : 141707 j = 1 : 284079 j = 2 : 283846 j = 3 : 189107 j = 4 : 94731 j = 5 : 37728 ----------------------------------------------- CPU time used : 00:00:00.98 Generator state: *********************************************************** Test DNA calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 1, n = 2097152, r = 9, d = 4, t = 10, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1048576 Expected number per cell = 2 EColl = n^2 / (2k) = 2097152 Hashing = FALSE Collision test CollisionOver: density = n / k = 2.00 Expected number of collisions = 1190477.55 Expected standard deviation = 339.00 ----------------------------------------------- Results of CollisionOver test: NORMAL approximation: Value of the standardized statistic : 0.26 p-value of test : 0.40 ----------------------------- Total number of cells containing j balls j = 0 : 141989 j = 1 : 283600 j = 2 : 283915 j = 3 : 189070 j = 4 : 94984 j = 5 : 37704 ----------------------------------------------- CPU time used : 00:00:00.98 Generator state: *********************************************************** Test DNA calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 1, n = 2097152, r = 8, d = 4, t = 10, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1048576 Expected number per cell = 2 EColl = n^2 / (2k) = 2097152 Hashing = FALSE Collision test CollisionOver: density = n / k = 2.00 Expected number of collisions = 1190477.55 Expected standard deviation = 339.00 ----------------------------------------------- Results of CollisionOver test: NORMAL approximation: Value of the standardized statistic : 1.56 p-value of test : 0.06 ----------------------------- Total number of cells containing j balls j = 0 : 142430 j = 1 : 283289 j = 2 : 283950 j = 3 : 188956 j = 4 : 94348 j = 5 : 38107 ----------------------------------------------- CPU time used : 00:00:00.98 Generator state: *********************************************************** Test DNA calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 1, n = 2097152, r = 7, d = 4, t = 10, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1048576 Expected number per cell = 2 EColl = n^2 / (2k) = 2097152 Hashing = FALSE Collision test CollisionOver: density = n / k = 2.00 Expected number of collisions = 1190477.55 Expected standard deviation = 339.00 ----------------------------------------------- Results of CollisionOver test: NORMAL approximation: Value of the standardized statistic : 1.58 p-value of test : 0.06 ----------------------------- Total number of cells containing j balls j = 0 : 142437 j = 1 : 283448 j = 2 : 283701 j = 3 : 188896 j = 4 : 94576 j = 5 : 38045 ----------------------------------------------- CPU time used : 00:00:00.98 Generator state: *********************************************************** Test DNA calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 1, n = 2097152, r = 6, d = 4, t = 10, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1048576 Expected number per cell = 2 EColl = n^2 / (2k) = 2097152 Hashing = FALSE Collision test CollisionOver: density = n / k = 2.00 Expected number of collisions = 1190477.55 Expected standard deviation = 339.00 ----------------------------------------------- Results of CollisionOver test: NORMAL approximation: Value of the standardized statistic : -0.13 p-value of test : 0.55 ----------------------------- Total number of cells containing j balls j = 0 : 141858 j = 1 : 283275 j = 2 : 284346 j = 3 : 189317 j = 4 : 94762 j = 5 : 37889 ----------------------------------------------- CPU time used : 00:00:00.98 Generator state: *********************************************************** Test DNA calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 1, n = 2097152, r = 5, d = 4, t = 10, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1048576 Expected number per cell = 2 EColl = n^2 / (2k) = 2097152 Hashing = FALSE Collision test CollisionOver: density = n / k = 2.00 Expected number of collisions = 1190477.55 Expected standard deviation = 339.00 ----------------------------------------------- Results of CollisionOver test: NORMAL approximation: Value of the standardized statistic : -1.25 p-value of test : 0.89 ----------------------------- Total number of cells containing j balls j = 0 : 141477 j = 1 : 284354 j = 2 : 283781 j = 3 : 189331 j = 4 : 94749 j = 5 : 37408 ----------------------------------------------- CPU time used : 00:00:00.98 Generator state: *********************************************************** Test DNA calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 1, n = 2097152, r = 4, d = 4, t = 10, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1048576 Expected number per cell = 2 EColl = n^2 / (2k) = 2097152 Hashing = FALSE Collision test CollisionOver: density = n / k = 2.00 Expected number of collisions = 1190477.55 Expected standard deviation = 339.00 ----------------------------------------------- Results of CollisionOver test: NORMAL approximation: Value of the standardized statistic : 1.05 p-value of test : 0.15 ----------------------------- Total number of cells containing j balls j = 0 : 142257 j = 1 : 283636 j = 2 : 283722 j = 3 : 188934 j = 4 : 94551 j = 5 : 37983 ----------------------------------------------- CPU time used : 00:00:00.98 Generator state: *********************************************************** Test DNA calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 1, n = 2097152, r = 3, d = 4, t = 10, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1048576 Expected number per cell = 2 EColl = n^2 / (2k) = 2097152 Hashing = FALSE Collision test CollisionOver: density = n / k = 2.00 Expected number of collisions = 1190477.55 Expected standard deviation = 339.00 ----------------------------------------------- Results of CollisionOver test: NORMAL approximation: Value of the standardized statistic : 1.96 p-value of test : 0.02 ----------------------------- Total number of cells containing j balls j = 0 : 142566 j = 1 : 284087 j = 2 : 282646 j = 3 : 188558 j = 4 : 95232 j = 5 : 37986 ----------------------------------------------- CPU time used : 00:00:00.98 Generator state: *********************************************************** Test DNA calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 1, n = 2097152, r = 2, d = 4, t = 10, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1048576 Expected number per cell = 2 EColl = n^2 / (2k) = 2097152 Hashing = FALSE Collision test CollisionOver: density = n / k = 2.00 Expected number of collisions = 1190477.55 Expected standard deviation = 339.00 ----------------------------------------------- Results of CollisionOver test: NORMAL approximation: Value of the standardized statistic : -2.08 p-value of test : 0.98 ----------------------------- Total number of cells containing j balls j = 0 : 141196 j = 1 : 284126 j = 2 : 284163 j = 3 : 189651 j = 4 : 94645 j = 5 : 37736 ----------------------------------------------- CPU time used : 00:00:00.98 Generator state: *********************************************************** Test DNA calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 1, n = 2097152, r = 1, d = 4, t = 10, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1048576 Expected number per cell = 2 EColl = n^2 / (2k) = 2097152 Hashing = FALSE Collision test CollisionOver: density = n / k = 2.00 Expected number of collisions = 1190477.55 Expected standard deviation = 339.00 ----------------------------------------------- Results of CollisionOver test: NORMAL approximation: Value of the standardized statistic : -0.58 p-value of test : 0.72 ----------------------------- Total number of cells containing j balls j = 0 : 141706 j = 1 : 284543 j = 2 : 283550 j = 3 : 188852 j = 4 : 94585 j = 5 : 37793 ----------------------------------------------- CPU time used : 00:00:00.98 Generator state: *********************************************************** Test DNA calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smultin_MultinomialOver test: ----------------------------------------------- N = 1, n = 2097152, r = 0, d = 4, t = 10, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1048576 Expected number per cell = 2 EColl = n^2 / (2k) = 2097152 Hashing = FALSE Collision test CollisionOver: density = n / k = 2.00 Expected number of collisions = 1190477.55 Expected standard deviation = 339.00 ----------------------------------------------- Results of CollisionOver test: NORMAL approximation: Value of the standardized statistic : -0.093 p-value of test : 0.54 ----------------------------- Total number of cells containing j balls j = 0 : 141870 j = 1 : 283855 j = 2 : 283120 j = 3 : 190017 j = 4 : 94846 j = 5 : 37643 ----------------------------------------------- CPU time used : 00:00:00.98 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system snpair_ClosePairs test: ----------------------------------------------- N = 100, n = 8000, r = 0, t = 2, p = 2, m = 1, Torus = TRUE --------------------------------------- Test based on the 2 nearest points (NP): Stat. AD on the N values (NP) : 0.63 p-value of test : 0.62 ----------------------------------------------- CPU time used : 00:00:00.70 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system snpair_ClosePairs test: ----------------------------------------------- N = 20, n = 4000, r = 0, t = 3, p = 2, m = 1, Torus = TRUE --------------------------------------- Test based on the 2 nearest points (NP): Stat. AD on the N values (NP) : 0.31 p-value of test : 0.93 ----------------------------------------------- CPU time used : 00:00:00.10 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system smarsa_Savir2 test: ----------------------------------------------- N = 1, n = 100000, r = 0, m = 90000, t = 18 ----------------------------------------------- Number of degrees of freedom : 42 Chi-square statistic : 40.41 p-value of test : 0.54 ----------------------------------------------- CPU time used : 00:00:00.66 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sknuth_Run test: ----------------------------------------------- N = 10, n = 10000, r = 0, Up = TRUE ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.29 p-value of test : 0.15 Kolmogorov-Smirnov- statistic = D- : 0.16 p-value of test : 0.56 Anderson-Darling statistic = A2 : 1.02 p-value of test : 0.34 Test on the sum of all N observations Number of degrees of freedom : 60 Chi-square statistic : 55.10 p-value of test : 0.66 ----------------------------------------------- CPU time used : 00:00:00.04 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sknuth_Run test: ----------------------------------------------- N = 10, n = 10000, r = 0, Up = FALSE ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.084 p-value of test : 0.83 Kolmogorov-Smirnov- statistic = D- : 0.25 p-value of test : 0.26 Anderson-Darling statistic = A2 : 0.86 p-value of test : 0.44 Test on the sum of all N observations Number of degrees of freedom : 60 Chi-square statistic : 68.47 p-value of test : 0.21 ----------------------------------------------- CPU time used : 00:00:00.04 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sknuth_Run test: ----------------------------------------------- N = 10, n = 10000, r = 0, Up = TRUE ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.11 p-value of test : 0.73 Kolmogorov-Smirnov- statistic = D- : 0.26 p-value of test : 0.22 Anderson-Darling statistic = A2 : 0.90 p-value of test : 0.41 Test on the sum of all N observations Number of degrees of freedom : 60 Chi-square statistic : 73.92 p-value of test : 0.11 ----------------------------------------------- CPU time used : 00:00:00.02 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_6D_discrete_time_system sknuth_Run test: ----------------------------------------------- N = 10, n = 10000, r = 0, Up = FALSE ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.14 p-value of test : 0.61 Kolmogorov-Smirnov- statistic = D- : 0.14 p-value of test : 0.64 Anderson-Darling statistic = A2 : 0.31 p-value of test : 0.93 Test on the sum of all N observations Number of degrees of freedom : 60 Chi-square statistic : 57.97 p-value of test : 0.55 ----------------------------------------------- CPU time used : 00:00:00.04 Generator state: ========= Summary results of pseudoDIEHARD ========= Generator: anti_control_for_6D_discrete_time_system Number of statistics: 126 Total CPU time: 00:01:31.48 All tests were passed xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx Starting FIPS_140_2 xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx ============== Summary results of FIPS-140-2 ============== Generator: anti_control_for_6D_discrete_time_system Number of bits: 20000 Test s-value p-value FIPS Decision -------------------------------------------------------- Monobit 9967 0.68 Pass Poker 6.01 0.98 Pass 0 Runs, length 1: 2514 Pass 0 Runs, length 2: 1244 Pass 0 Runs, length 3: 618 Pass 0 Runs, length 4: 303 Pass 0 Runs, length 5: 166 Pass 0 Runs, length 6+: 159 Pass 1 Runs, length 1: 2514 Pass 1 Runs, length 2: 1227 Pass 1 Runs, length 3: 637 Pass 1 Runs, length 4: 329 Pass 1 Runs, length 5: 152 Pass 1 Runs, length 6+: 145 Pass Longest run of 0: 15 0.26 Pass Longest run of 1: 13 0.50 Pass ---------------------------------------------------------- All values are within the required intervals of FIPS-140-2