xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx Starting SmallCrush Version: TestU01 1.2.3 xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 20 p-value of test : 0.90 ----------------------------------------------- CPU time used : 00:00:06.62 Generator state: *********************************************************** Test sknuth_Collision calling smultin_Multinomial *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 2970 p-value of test : 0.13 ----------------------------- Total number of cells containing j balls j = 0 : 4289970266 j = 1 : 4994061 j = 2 : 2968 j = 3 : 1 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:00:06.75 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 1169.77 p-value of test : 0.12 ----------------------------------------------- CPU time used : 00:00:28.53 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 20.18 p-value of test : 0.38 ----------------------------------------------- CPU time used : 00:00:14.82 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_discrete_time_system sknuth_CouponCollector test: ----------------------------------------------- N = 1, n = 500000, r = 26, d = 16 ----------------------------------------------- Number of degrees of freedom : 44 Chi-square statistic : 49.03 p-value of test : 0.28 ----------------------------------------------- CPU time used : 00:00:13.95 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 :99391.00 p-value of test : 0.91 ----------------------------------------------- Anderson-Darling statistic : 0.47 p-value of test : 0.53 ----------------------------------------------- CPU time used : 00:00:07.54 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 40.83 p-value of test : 0.48 ----------------------------------------------- CPU time used : 00:00:28.68 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 3.30 p-value of test : 0.35 ----------------------------------------------- CPU time used : 00:00:04.45 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 2175.10 p-value of test : 0.69 ----------------------------------------------- CPU time used : 00:00:18.18 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 47.05 p-value of test : 0.67 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 52 ChiSquare statistic : 59.52 p-value of test : 0.22 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 75 ChiSquare statistic : 63.85 p-value of test : 0.82 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 44 ChiSquare statistic : 34.32 p-value of test : 0.85 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 26 ChiSquare statistic : 46.90 p-value of test : 7.2e-3 ----------------------------------------------- CPU time used : 00:00:04.00 Generator state: ========= Summary results of SmallCrush ========= Version: TestU01 1.2.3 Generator: anti_control_for_8D_discrete_time_system Number of statistics: 15 Total CPU time: 00:02:13.56 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_8D_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 : 0.70 ----------------------------------------------- CPU time used : 00:05:25.75 Generator state: *********************************************************** Test smarsa_SerialOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 0.34 ----------------------------------------------- CPU time used : 00:03:14.12 Generator state: *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 452 p-value of test : 0.54 ----------------------------- Total number of cells containing j balls j = 0 : 10995016278212 j = 1 : 99999096 j = 2 : 452 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:01:32.59 Generator state: *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 425 p-value of test : 0.92 ----------------------------- Total number of cells containing j balls j = 0 : 10995016278185 j = 1 : 99999150 j = 2 : 425 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:01:49.90 Generator state: *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 461 p-value of test : 0.39 ----------------------------- Total number of cells containing j balls j = 0 : 10995016278221 j = 1 : 99999078 j = 2 : 461 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:02:04.15 Generator state: *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 457 p-value of test : 0.46 ----------------------------- Total number of cells containing j balls j = 0 : 10995016278217 j = 1 : 99999086 j = 2 : 457 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:01:59.18 Generator state: *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 471 p-value of test : 0.23 ----------------------------- Total number of cells containing j balls j = 0 : 10995016278231 j = 1 : 99999058 j = 2 : 471 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:01:44.99 Generator state: *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 473 p-value of test : 0.20 ----------------------------- Total number of cells containing j balls j = 0 : 10995016278233 j = 1 : 99999054 j = 2 : 473 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:01:43.96 Generator state: *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 498 p-value of test : 0.02 ----------------------------- Total number of cells containing j balls j = 0 : 10995016278258 j = 1 : 99999004 j = 2 : 498 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:01:44.53 Generator state: *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 463 p-value of test : 0.36 ----------------------------- Total number of cells containing j balls j = 0 : 10995016278223 j = 1 : 99999074 j = 2 : 463 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:01:43.81 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 2257 p-value of test : 0.03 ----------------------------------------------- CPU time used : 00:02:08.68 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 1174 p-value of test : 3.7e-3 ----------------------------------------------- CPU time used : 00:03:02.26 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 537 p-value of test : 0.58 ----------------------------------------------- CPU time used : 00:03:55.80 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 708 p-value of test : 0.01 ----------------------------------------------- CPU time used : 00:03:58.13 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 700 p-value of test : 0.03 ----------------------------------------------- CPU time used : 00:04:01.26 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 322 p-value of test : 0.56 ----------------------------------------------- CPU time used : 00:04:33.69 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 343 p-value of test : 0.17 ----------------------------------------------- CPU time used : 00:04:33.63 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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) : 5.17 p-value of test : 2.5e-3 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) : 0.35 p-value of test : 0.90 Test on the Nm values of W_{n,i}(mNP1): 0.78 p-value of test : 0.50 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 300 Number of jumps of Y : 296 p-value of test : 0.58 Stat. AD (mNP2) : 0.81 p-value of test : 0.47 ----------------------------------------------- CPU time used : 00:00:30.67 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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) : 0.87 p-value of test : 0.43 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) : 0.41 p-value of test : 0.83 Test on the Nm values of W_{n,i}(mNP1): 1.22 p-value of test : 0.26 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 300 Number of jumps of Y : 297 p-value of test : 0.55 Stat. AD (mNP2) : 0.40 p-value of test : 0.85 Stat. AD after spacings (mNP2-S) : 1.08 p-value of test : 0.32 ----------------------------------------------- CPU time used : 00:00:45.76 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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) : 2.70 p-value of test : 0.04 A2 test based on the spacings between the successive jump times of process Y_n(t): A2 test on the values of A2 (m-NP) : 0.52 p-value of test : 0.72 Test on the Nm values of W_{n,i}(mNP1): 0.73 p-value of test : 0.53 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 150 Number of jumps of Y : 144 p-value of test : 0.67 Stat. AD (mNP2) : 0.58 p-value of test : 0.67 Stat. AD after spacings (mNP2-S) : 0.54 p-value of test : 0.71 ----------------------------------------------- CPU time used : 00:01:01.30 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_discrete_time_system snpair_ClosePairsBitMatch test: ----------------------------------------------- N = 4, n = 4000000, r = 0, t = 2 ----------------------------------------------- Max of all bit distances : 22.00 p-value of test : 0.37 ----------------------------------------------- CPU time used : 00:00:27.15 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_discrete_time_system snpair_ClosePairsBitMatch test: ----------------------------------------------- N = 2, n = 4000000, r = 0, t = 4 ----------------------------------------------- Max of all bit distances : 10.00 p-value of test : 0.60 ----------------------------------------------- CPU time used : 00:00:26.23 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 13.87 p-value of test : 0.31 ----------------------------------------------- CPU time used : 00:05:55.69 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 17.89 p-value of test : 0.12 ----------------------------------------------- CPU time used : 00:05:58.96 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 20.30 p-value of test : 0.62 ----------------------------------------------- CPU time used : 00:05:55.59 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 29.98 p-value of test : 0.15 ----------------------------------------------- CPU time used : 00:05:59.47 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_discrete_time_system sknuth_CouponCollector test: ----------------------------------------------- N = 1, n = 40000000, r = 0, d = 4 ----------------------------------------------- Number of degrees of freedom : 51 Chi-square statistic : 55.70 p-value of test : 0.30 ----------------------------------------------- CPU time used : 00:03:01.02 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_discrete_time_system sknuth_CouponCollector test: ----------------------------------------------- N = 1, n = 40000000, r = 28, d = 4 ----------------------------------------------- Number of degrees of freedom : 51 Chi-square statistic : 62.95 p-value of test : 0.12 ----------------------------------------------- CPU time used : 00:03:03.50 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_discrete_time_system sknuth_CouponCollector test: ----------------------------------------------- N = 1, n = 10000000, r = 0, d = 16 ----------------------------------------------- Number of degrees of freedom : 46 Chi-square statistic : 55.16 p-value of test : 0.17 ----------------------------------------------- CPU time used : 00:04:27.09 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_discrete_time_system sknuth_CouponCollector test: ----------------------------------------------- N = 1, n = 10000000, r = 26, d = 16 ----------------------------------------------- Number of degrees of freedom : 46 Chi-square statistic : 51.77 p-value of test : 0.26 ----------------------------------------------- CPU time used : 00:04:30.84 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 86.55 p-value of test : 0.92 ----------------------------------------------- CPU time used : 00:07:08.94 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 81.05 p-value of test : 0.97 ----------------------------------------------- CPU time used : 00:07:15.25 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 1957.37 p-value of test : 0.36 ----------------------------------------------- CPU time used : 00:11:23.00 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 1922.53 p-value of test : 0.58 ----------------------------------------------- CPU time used : 00:11:34.67 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_discrete_time_system sknuth_Run test: ----------------------------------------------- N = 1, n = 500000000, r = 0, Up = TRUE ----------------------------------------------- Number of degrees of freedom : 6 Chi-square statistic : 5.06 p-value of test : 0.54 ----------------------------------------------- CPU time used : 00:04:37.26 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_discrete_time_system sknuth_Run test: ----------------------------------------------- N = 1, n = 500000000, r = 15, Up = FALSE ----------------------------------------------- Number of degrees of freedom : 6 Chi-square statistic : 3.94 p-value of test : 0.68 ----------------------------------------------- CPU time used : 00:04:40.15 Generator state: *********************************************************** Test sknuth_Permutation calling smultin_Multinomial *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 3.63e+6 p-value of test : 0.47 ----------------------------------------------- CPU time used : 00:04:47.04 Generator state: *********************************************************** Test sknuth_Permutation calling smultin_Multinomial *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 0.69 ----------------------------------------------- CPU time used : 00:04:50.39 Generator state: *********************************************************** Test sknuth_CollisionPermut calling smultin_Multinomial *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 40010 p-value of test : 0.72 ----------------------------- Total number of cells containing j balls j = 0 : 31085144010 j = 1 : 49919997 j = 2 : 39976 j = 3 : 17 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:06:32.77 Generator state: *********************************************************** Test sknuth_CollisionPermut calling smultin_Multinomial *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 39870 p-value of test : 0.90 ----------------------------- Total number of cells containing j balls j = 0 : 31085143870 j = 1 : 49920287 j = 2 : 39817 j = 3 : 25 j = 4 : 1 j = 5 : 0 ----------------------------------------------- CPU time used : 00:06:22.42 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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+ : 0.15 p-value of test : 0.60 Kolmogorov-Smirnov- statistic = D- : 0.22 p-value of test : 0.34 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 : 0.24 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.22 p-value of test : 0.35 Kolmogorov-Smirnov- statistic = D- : 0.17 p-value of test : 0.49 Anderson-Darling statistic = A2 : 0.71 p-value of test : 0.54 ----------------------------------------------- CPU time used : 00:05:04.81 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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+ : 0.17 p-value of test : 0.68 Kolmogorov-Smirnov- statistic = D- : 0.49 p-value of test : 0.06 Anderson-Darling statistic = A2 : 1.37 p-value of test : 0.21 Test on the sum of all N observations Number of degrees of freedom : 499995 Chi-square statistic : 5.01e+5 p-value of test : 0.11 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.33 p-value of test : 0.28 Kolmogorov-Smirnov- statistic = D- : 0.11 p-value of test : 0.84 Anderson-Darling statistic = A2 : 0.57 p-value of test : 0.67 ----------------------------------------------- CPU time used : 00:04:47.15 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 1.00e+5 p-value of test : 0.34 ----------------------------------------------- Anderson-Darling statistic : 0.31 p-value of test : 0.69 ----------------------------------------------- CPU time used : 00:01:51.26 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 1.01e+5 p-value of test : 0.03 ----------------------------------------------- Anderson-Darling statistic : 0.41 p-value of test : 0.59 ----------------------------------------------- CPU time used : 00:02:45.20 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_discrete_time_system svaria_SampleProd test: ----------------------------------------------- N = 1, n = 10000000, r = 0, t = 10 ----------------------------------------------- Anderson-Darling statistic : 0.20 p-value of test : 0.80 ----------------------------------------------- CPU time used : 00:00:56.13 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_discrete_time_system svaria_SampleProd test: ----------------------------------------------- N = 1, n = 10000000, r = 0, t = 30 ----------------------------------------------- Anderson-Darling statistic : 0.65 p-value of test : 0.35 ----------------------------------------------- CPU time used : 00:02:44.81 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_discrete_time_system svaria_SampleMean test: ----------------------------------------------- N = 10000000, n = 20, r = 0 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 2.05e-4 p-value of test : 0.43 Kolmogorov-Smirnov- statistic = D- : 9.71e-5 p-value of test : 0.83 Anderson-Darling statistic = A2 : 0.52 p-value of test : 0.72 ----------------------------------------------- CPU time used : 00:01:55.70 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_discrete_time_system svaria_SampleCorr test: ----------------------------------------------- N = 1, n = 500000000, r = 0, k = 1 ----------------------------------------------- Normal statistic : -0.24 p-value of test : 0.59 ----------------------------------------------- CPU time used : 00:04:29.47 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : -0.16 p-value of test : 0.56 ----------------------------------------------- CPU time used : 00:02:16.48 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : -0.022 p-value of test : 0.51 ----------------------------------------------- CPU time used : 00:02:05.29 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 38.53 p-value of test : 0.77 ----------------------------------------------- CPU time used : 00:04:35.14 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 45.13 p-value of test : 0.51 ----------------------------------------------- CPU time used : 00:04:38.40 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 46.53 p-value of test : 0.45 ----------------------------------------------- CPU time used : 00:04:38.55 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 36.56 p-value of test : 0.84 ----------------------------------------------- CPU time used : 00:04:38.45 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_discrete_time_system svaria_SumCollector test: ----------------------------------------------- N = 1, n = 20000000, r = 0, g = 10 ----------------------------------------------- Number of degrees of freedom : 25 Chi-square statistic : 27.66 p-value of test : 0.32 ----------------------------------------------- CPU time used : 00:03:40.76 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 6.86 p-value of test : 0.14 ----------------------------------------------- CPU time used : 00:01:25.37 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 0.95 p-value of test : 0.92 ----------------------------------------------- CPU time used : 00:03:34.96 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 2.26 p-value of test : 0.52 ----------------------------------------------- CPU time used : 00:01:57.37 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 0.48 p-value of test : 0.92 ----------------------------------------------- CPU time used : 00:04:47.50 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 2.32 p-value of test : 0.51 ----------------------------------------------- CPU time used : 00:01:47.25 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 1.32 p-value of test : 0.72 ----------------------------------------------- CPU time used : 00:03:52.46 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 13.69 p-value of test : 0.69 ----------------------------------------------- CPU time used : 00:05:21.50 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 2352.50 p-value of test : 0.95 ----------------------------------------------- CPU time used : 00:02:07.12 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 1756.44 p-value of test : 3.3e-4 ***** ----------------------------------------------- CPU time used : 00:00:48.37 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 38.41 p-value of test : 0.78 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 47 ChiSquare statistic : 33.51 p-value of test : 0.93 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 45 ChiSquare statistic : 37.25 p-value of test : 0.79 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 36 ChiSquare statistic : 42.80 p-value of test : 0.20 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 23 ChiSquare statistic : 14.87 p-value of test : 0.90 ----------------------------------------------- CPU time used : 00:01:52.19 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 53.56 p-value of test : 0.15 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 45 ChiSquare statistic : 33.86 p-value of test : 0.89 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 45 ChiSquare statistic : 42.98 p-value of test : 0.56 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 35 ChiSquare statistic : 28.14 p-value of test : 0.79 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 22 ChiSquare statistic : 23.43 p-value of test : 0.38 ----------------------------------------------- CPU time used : 00:00:55.48 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 126.42 p-value of test : 0.79 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 141 ChiSquare statistic : 130.17 p-value of test : 0.73 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 ChiSquare statistic : 480.60 p-value of test : 0.73 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 132 ChiSquare statistic : 126.75 p-value of test : 0.61 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 72 ChiSquare statistic : 55.82 p-value of test : 0.92 ----------------------------------------------- CPU time used : 00:02:04.95 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 114.71 p-value of test : 0.79 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 130 ChiSquare statistic : 124.14 p-value of test : 0.63 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 ChiSquare statistic : 553.36 p-value of test : 0.05 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 122 ChiSquare statistic : 146.34 p-value of test : 0.07 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 66 ChiSquare statistic : 70.03 p-value of test : 0.34 ----------------------------------------------- CPU time used : 00:01:01.19 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 324.98 p-value of test : 0.94 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 366 ChiSquare statistic : 376.00 p-value of test : 0.35 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 ChiSquare statistic : 4895.96 p-value of test : 0.85 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 360 ChiSquare statistic : 358.57 p-value of test : 0.51 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 192 ChiSquare statistic : 199.80 p-value of test : 0.33 ----------------------------------------------- CPU time used : 00:02:02.62 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 290.28 p-value of test : 0.87 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 318 ChiSquare statistic : 321.21 p-value of test : 0.44 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 ChiSquare statistic : 4925.45 p-value of test : 0.77 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 315 ChiSquare statistic : 280.66 p-value of test : 0.92 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 169 ChiSquare statistic : 176.60 p-value of test : 0.33 ----------------------------------------------- CPU time used : 00:01:00.96 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 5.14 p-value of test : 0.88 ----------------------------------------------- Normal statistic for number of jumps : 0.61 p-value of test : 0.27 ----------------------------------------------- CPU time used : 00:00:11.95 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 4.04 p-value of test : 0.95 ----------------------------------------------- Normal statistic for number of jumps : -0.19 p-value of test : 0.58 ----------------------------------------------- CPU time used : 00:00:11.93 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_discrete_time_system scomp_LempelZiv test: ----------------------------------------------- N = 10, n = 33554432, r = 0, s = 30, k = 25 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.12 p-value of test : 0.68 Kolmogorov-Smirnov- statistic = D- : 0.19 p-value of test : 0.45 Anderson-Darling statistic = A2 : 0.44 p-value of test : 0.81 Tests on the sum of all N observations Standardized normal statistic : 0.28 p-value of test : 0.39 Sample variance : 1.18 p-value of test : 0.30 ----------------------------------------------- CPU time used : 00:00:20.84 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_discrete_time_system sspectral_Fourier3 test: ----------------------------------------------- N = 50000, n = 16384, r = 0, s = 30, k = 14 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 3.93e-3 p-value of test : 0.88 Kolmogorov-Smirnov- statistic = D- : 8.34e-3 p-value of test : 0.56 Anderson-Darling statistic = A2 : 0.27 p-value of test : 0.96 ----------------------------------------------- CPU time used : 00:00:33.67 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_discrete_time_system sspectral_Fourier3 test: ----------------------------------------------- N = 50000, n = 16384, r = 20, s = 10, k = 14 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 6.24e-3 p-value of test : 0.72 Kolmogorov-Smirnov- statistic = D- : 8.84e-3 p-value of test : 0.52 Anderson-Darling statistic = A2 : 0.37 p-value of test : 0.88 ----------------------------------------------- CPU time used : 00:01:03.07 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 2.46 p-value of test : 0.96 ----------------------------------------------- Global longest run of 1 : 33.00 p-value of test : 0.44 ----------------------------------------------- CPU time used : 00:03:44.11 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 12.53 p-value of test : 0.08 ----------------------------------------------- Global longest run of 1 : 29.00 p-value of test : 0.75 ----------------------------------------------- CPU time used : 00:02:55.27 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_discrete_time_system sstring_PeriodsInStrings test: ----------------------------------------------- N = 1, n = 300000000, r = 0, s = 30 ----------------------------------------------- Number of degrees of freedom : 302 Chi-square statistic : 297.43 p-value of test : 0.56 ----------------------------------------------- CPU time used : 00:02:53.37 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_discrete_time_system sstring_PeriodsInStrings test: ----------------------------------------------- N = 1, n = 300000000, r = 15, s = 15 ----------------------------------------------- Number of degrees of freedom : 56 Chi-square statistic : 67.79 p-value of test : 0.13 ----------------------------------------------- CPU time used : 00:02:49.28 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_discrete_time_system sstring_HammingWeight2 test: ----------------------------------------------- N = 100, n = 100000000, r = 0, s = 30, L = 1000000 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.081 p-value of test : 0.25 Kolmogorov-Smirnov- statistic = D- : 0.024 p-value of test : 0.87 Anderson-Darling statistic = A2 : 0.75 p-value of test : 0.52 Test on the sum of all N observations Number of degrees of freedom : 10000 Chi-square statistic : 9891.08 p-value of test : 0.78 ----------------------------------------------- CPU time used : 00:03:04.60 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_discrete_time_system sstring_HammingWeight2 test: ----------------------------------------------- N = 30, n = 100000000, r = 20, s = 10, L = 1000000 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.020 p-value of test : 0.97 Kolmogorov-Smirnov- statistic = D- : 0.19 p-value of test : 0.10 Anderson-Darling statistic = A2 : 1.87 p-value of test : 0.11 Test on the sum of all N observations Number of degrees of freedom : 3000 Chi-square statistic : 3141.63 p-value of test : 0.04 ----------------------------------------------- CPU time used : 00:02:44.07 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_discrete_time_system sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 500000000, r = 0, s = 30, L = 30 ----------------------------------------------- Normal statistic : -0.93 p-value of test : 0.82 ----------------------------------------------- CPU time used : 00:04:37.65 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_discrete_time_system sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 50000000, r = 0, s = 30, L = 300 ----------------------------------------------- Normal statistic : 1.43 p-value of test : 0.08 ----------------------------------------------- CPU time used : 00:04:37.06 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_discrete_time_system sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 10000000, r = 0, s = 30, L = 1200 ----------------------------------------------- Normal statistic : -0.23 p-value of test : 0.59 ----------------------------------------------- CPU time used : 00:03:41.40 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 572.57 p-value of test : 0.54 ----------------------------------------------- CPU time used : 00:05:39.25 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 542.77 p-value of test : 0.38 ----------------------------------------------- CPU time used : 00:05:32.54 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 3953.27 p-value of test : 0.97 ----------------------------------------------- CPU time used : 00:05:36.86 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 3615.84 p-value of test : 0.36 ----------------------------------------------- CPU time used : 00:05:30.61 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 :11771.13 p-value of test : 0.64 ----------------------------------------------- CPU time used : 00:07:28.79 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 7618.43 p-value of test : 0.12 ----------------------------------------------- CPU time used : 00:02:12.29 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_discrete_time_system sstring_Run test: ----------------------------------------------- N = 1, n = 1000000000, r = 0, s = 30 ----------------------------------------------- Total number of 1 runs: 1000000004 Number of degrees of freedom : 52 Chi2 statistic for number of runs : 61.58 p-value of test : 0.17 ----------------------------------------------- Total number of bits: 3999996480 Normal statistic for number of bits : -0.039 p-value of test : 0.52 ----------------------------------------------- CPU time used : 00:01:30.68 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_discrete_time_system sstring_Run test: ----------------------------------------------- N = 1, n = 1000000000, r = 20, s = 10 ----------------------------------------------- Total number of 1 runs: 1000000002 Number of degrees of freedom : 52 Chi2 statistic for number of runs : 56.38 p-value of test : 0.31 ----------------------------------------------- Total number of bits: 3999977490 Normal statistic for number of bits : -0.25 p-value of test : 0.60 ----------------------------------------------- CPU time used : 00:03:56.63 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_discrete_time_system sstring_AutoCor test: ----------------------------------------------- N = 10, n = 1000000021, r = 0, s = 30, d = 1 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.20 p-value of test : 0.39 Kolmogorov-Smirnov- statistic = D- : 0.23 p-value of test : 0.29 Anderson-Darling statistic = A2 : 0.72 p-value of test : 0.54 Tests on the sum of all N observations Standardized normal statistic : 0.25 p-value of test : 0.40 Sample variance : 1.30 p-value of test : 0.23 ----------------------------------------------- CPU time used : 00:03:14.83 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_discrete_time_system sstring_AutoCor test: ----------------------------------------------- N = 5, n = 1000000001, r = 20, s = 10, d = 1 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.32 p-value of test : 0.29 Kolmogorov-Smirnov- statistic = D- : 0.33 p-value of test : 0.28 Anderson-Darling statistic = A2 : 0.83 p-value of test : 0.46 Tests on the sum of all N observations Standardized normal statistic : -0.11 p-value of test : 0.54 Sample variance : 0.13 p-value of test : 0.97 ----------------------------------------------- CPU time used : 00:04:48.25 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_discrete_time_system sstring_AutoCor test: ----------------------------------------------- N = 10, n = 1000000020, r = 0, s = 30, d = 30 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 6.16e-3 p-value of test : 0.9935 Kolmogorov-Smirnov- statistic = D- : 0.37 p-value of test : 0.05 Anderson-Darling statistic = A2 : 3.60 p-value of test : 0.01 Tests on the sum of all N observations Standardized normal statistic : 2.70 p-value of test : 3.5e-3 Sample variance : 1.08 p-value of test : 0.38 ----------------------------------------------- CPU time used : 00:03:12.36 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_discrete_time_system sstring_AutoCor test: ----------------------------------------------- N = 5, n = 1000000010, r = 20, s = 10, d = 10 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.57 p-value of test : 0.02 Kolmogorov-Smirnov- statistic = D- : 0.14 p-value of test : 0.75 Anderson-Darling statistic = A2 : 1.83 p-value of test : 0.12 Tests on the sum of all N observations Standardized normal statistic : -1.14 p-value of test : 0.87 Sample variance : 0.91 p-value of test : 0.46 ----------------------------------------------- CPU time used : 00:04:45.18 Generator state: ========= Summary results of Crush ========= Version: TestU01 1.2.3 Generator: anti_control_for_8D_discrete_time_system Number of statistics: 144 Total CPU time: 05:33:17.40 The following tests gave p-values outside [0.001, 0.9990]: (eps means a value < 1.0e-300): (eps1 means a value < 1.0e-15): Test p-value ---------------------------------------------- 64 GCD, r = 10 3.3e-4 ---------------------------------------------- All other 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_8D_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 : 0.78 ----------------------------------------------- CPU time used : 00:10:42.29 Generator state: *********************************************************** Test smarsa_SerialOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 0.49 ----------------------------------------------- CPU time used : 00:10:46.84 Generator state: *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 1331 p-value of test : 0.81 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334451 j = 1 : 599997338 j = 2 : 1331 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:09:49.52 Generator state: *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 1335 p-value of test : 0.78 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334455 j = 1 : 599997330 j = 2 : 1335 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:09:56.79 Generator state: *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 1283 p-value of test : 0.99 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334403 j = 1 : 599997434 j = 2 : 1283 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:10:55.04 Generator state: *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 1392 p-value of test : 0.23 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334512 j = 1 : 599997216 j = 2 : 1392 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:10:58.45 Generator state: *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 1390 p-value of test : 0.25 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334510 j = 1 : 599997220 j = 2 : 1390 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:10:57.58 Generator state: *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 1348 p-value of test : 0.66 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334468 j = 1 : 599997304 j = 2 : 1348 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:11:00.70 Generator state: *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 1270 p-value of test : 0.9948 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334390 j = 1 : 599997460 j = 2 : 1270 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:10:57.16 Generator state: *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 1390 p-value of test : 0.25 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334510 j = 1 : 599997220 j = 2 : 1390 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:11:00.13 Generator state: *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 1425 p-value of test : 0.05 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334545 j = 1 : 599997150 j = 2 : 1425 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:10:55.93 Generator state: *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 1447 p-value of test : 0.01 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334567 j = 1 : 599997106 j = 2 : 1447 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:10:54.36 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 5443 p-value of test : 0.38 ----------------------------------------------- CPU time used : 00:21:18.91 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 4284 p-value of test : 0.79 ----------------------------------------------- CPU time used : 00:12:08.88 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 7466 p-value of test : 0.04 ----------------------------------------------- CPU time used : 00:23:59.38 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 4345 p-value of test : 0.45 ----------------------------------------------- CPU time used : 00:26:28.80 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 4344 p-value of test : 0.46 ----------------------------------------------- CPU time used : 00:27:55.86 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 7248 p-value of test : 0.79 ----------------------------------------------- CPU time used : 00:47:55.69 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 7492 p-value of test : 0.02 ----------------------------------------------- CPU time used : 00:47:57.91 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 7224 p-value of test : 0.86 ----------------------------------------------- CPU time used : 01:32:58.26 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 7487 p-value of test : 0.03 ----------------------------------------------- CPU time used : 01:34:30.69 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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) : 1.91 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) : 1.18 p-value of test : 0.27 Test on the Nm values of W_{n,i}(mNP1): 1.20 p-value of test : 0.27 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 900 Number of jumps of Y : 878 p-value of test : 0.76 Stat. AD (mNP2) : 1.37 p-value of test : 0.21 Stat. AD after spacings (mNP2-S) : 1.12 p-value of test : 0.30 ----------------------------------------------- CPU time used : 00:08:08.08 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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) : 0.36 p-value of test : 0.88 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) : 0.60 p-value of test : 0.65 Test on the Nm values of W_{n,i}(mNP1): 0.71 p-value of test : 0.55 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 600 Number of jumps of Y : 591 p-value of test : 0.63 Stat. AD (mNP2) : 1.36 p-value of test : 0.22 Stat. AD after spacings (mNP2-S) : 0.54 p-value of test : 0.71 ----------------------------------------------- CPU time used : 00:05:41.79 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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) : 1.35 p-value of test : 0.22 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) : 0.41 p-value of test : 0.83 Test on the Nm values of W_{n,i}(mNP1): 1.34 p-value of test : 0.22 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 300 Number of jumps of Y : 275 p-value of test : 0.92 Stat. AD (mNP2) : 1.56 p-value of test : 0.16 Stat. AD after spacings (mNP2-S) : 1.51 p-value of test : 0.17 ----------------------------------------------- CPU time used : 00:05:32.76 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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) : 0.52 p-value of test : 0.72 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) : 1.08 p-value of test : 0.31 Test on the Nm values of W_{n,i}(mNP1): 0.88 p-value of test : 0.43 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 150 Number of jumps of Y : 141 p-value of test : 0.75 Stat. AD (mNP2) : 0.39 p-value of test : 0.86 Stat. AD after spacings (mNP2-S) : 0.76 p-value of test : 0.51 ----------------------------------------------- CPU time used : 00:04:50.83 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 10.26 p-value of test : 0.17 ----------------------------------------------- CPU time used : 00:31:25.61 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 8.03 p-value of test : 0.33 ----------------------------------------------- CPU time used : 00:31:44.37 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 19.50 p-value of test : 0.36 ----------------------------------------------- CPU time used : 00:31:29.19 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 20.15 p-value of test : 0.32 ----------------------------------------------- CPU time used : 00:31:48.66 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_discrete_time_system sknuth_CouponCollector test: ----------------------------------------------- N = 1, n = 200000000, r = 0, d = 8 ----------------------------------------------- Number of degrees of freedom : 54 Chi-square statistic : 43.42 p-value of test : 0.85 ----------------------------------------------- CPU time used : 00:41:41.90 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_discrete_time_system sknuth_CouponCollector test: ----------------------------------------------- N = 1, n = 200000000, r = 10, d = 8 ----------------------------------------------- Number of degrees of freedom : 54 Chi-square statistic : 57.46 p-value of test : 0.35 ----------------------------------------------- CPU time used : 00:42:20.25 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_discrete_time_system sknuth_CouponCollector test: ----------------------------------------------- N = 1, n = 200000000, r = 20, d = 8 ----------------------------------------------- Number of degrees of freedom : 54 Chi-square statistic : 38.21 p-value of test : 0.95 ----------------------------------------------- CPU time used : 00:42:13.33 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_discrete_time_system sknuth_CouponCollector test: ----------------------------------------------- N = 1, n = 200000000, r = 27, d = 8 ----------------------------------------------- Number of degrees of freedom : 54 Chi-square statistic : 66.52 p-value of test : 0.12 ----------------------------------------------- CPU time used : 00:42:12.02 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 232.07 p-value of test : 0.49 ----------------------------------------------- CPU time used : 01:15:32.21 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 401.28 p-value of test : 0.87 ----------------------------------------------- CPU time used : 01:31:59.69 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 1494.10 p-value of test : 0.14 ----------------------------------------------- CPU time used : 02:00:38.71 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 7155.57 p-value of test : 0.18 ----------------------------------------------- CPU time used : 01:37:51.16 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_discrete_time_system sknuth_Run test: ----------------------------------------------- N = 5, n = 1000000000, r = 0, Up = FALSE ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.55 p-value of test : 0.03 Kolmogorov-Smirnov- statistic = D- : 0.13 p-value of test : 0.78 Anderson-Darling statistic = A2 : 1.55 p-value of test : 0.17 Test on the sum of all N observations Number of degrees of freedom : 30 Chi-square statistic : 19.29 p-value of test : 0.93 ----------------------------------------------- CPU time used : 00:49:28.75 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_discrete_time_system sknuth_Run test: ----------------------------------------------- N = 10, n = 1000000000, r = 15, Up = TRUE ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.15 p-value of test : 0.59 Kolmogorov-Smirnov- statistic = D- : 0.25 p-value of test : 0.25 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 : 62.01 p-value of test : 0.40 ----------------------------------------------- CPU time used : 01:38:40.16 Generator state: *********************************************************** Test sknuth_Permutation calling smultin_Multinomial *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 9.77 p-value of test : 0.08 ----------------------------------------------- CPU time used : 00:29:43.58 Generator state: *********************************************************** Test sknuth_Permutation calling smultin_Multinomial *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 121.56 p-value of test : 0.42 ----------------------------------------------- CPU time used : 00:49:42.44 Generator state: *********************************************************** Test sknuth_Permutation calling smultin_Multinomial *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 5124.97 p-value of test : 0.20 ----------------------------------------------- CPU time used : 00:34:59.19 Generator state: *********************************************************** Test sknuth_Permutation calling smultin_Multinomial *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 0.07 ----------------------------------------------- CPU time used : 00:51:01.75 Generator state: *********************************************************** Test sknuth_CollisionPermut calling smultin_Multinomial *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 45919 p-value of test : 0.43 ----------------------------- Total number of cells containing j balls j = 0 : 1743165869919 j = 1 : 399908163 j = 2 : 45917 j = 3 : 1 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:59:27.97 Generator state: *********************************************************** Test sknuth_CollisionPermut calling smultin_Multinomial *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 46183 p-value of test : 0.08 ----------------------------- Total number of cells containing j balls j = 0 : 1743165870183 j = 1 : 399907637 j = 2 : 46177 j = 3 : 3 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:58:22.75 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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+ : 0.12 p-value of test : 0.30 Kolmogorov-Smirnov- statistic = D- : 0.065 p-value of test : 0.68 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 : 3999960 Chi-square statistic : 4.00e+6 p-value of test : 0.62 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.073 p-value of test : 0.62 Kolmogorov-Smirnov- statistic = D- : 0.12 p-value of test : 0.30 Anderson-Darling statistic = A2 : 0.83 p-value of test : 0.46 ----------------------------------------------- CPU time used : 00:33:32.52 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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+ : 0.052 p-value of test : 0.82 Kolmogorov-Smirnov- statistic = D- : 0.091 p-value of test : 0.58 Anderson-Darling statistic = A2 : 0.25 p-value of test : 0.97 Test on the sum of all N observations Number of degrees of freedom : 2999970 Chi-square statistic : 3.00e+6 p-value of test : 0.34 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.11 p-value of test : 0.46 Kolmogorov-Smirnov- statistic = D- : 0.076 p-value of test : 0.67 Anderson-Darling statistic = A2 : 0.42 p-value of test : 0.82 ----------------------------------------------- CPU time used : 00:47:06.97 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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+ : 0.14 p-value of test : 0.44 Kolmogorov-Smirnov- statistic = D- : 0.070 p-value of test : 0.79 Anderson-Darling statistic = A2 : 0.41 p-value of test : 0.84 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 p-value of test : 0.66 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.037 p-value of test : 0.93 Kolmogorov-Smirnov- statistic = D- : 0.29 p-value of test : 0.03 Anderson-Darling statistic = A2 : 1.98 p-value of test : 0.09 ----------------------------------------------- CPU time used : 00:44:16.16 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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+ : 0.15 p-value of test : 0.37 Kolmogorov-Smirnov- statistic = D- : 0.091 p-value of test : 0.68 Anderson-Darling statistic = A2 : 0.83 p-value of test : 0.46 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 p-value of test : 0.78 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.15 p-value of test : 0.39 Kolmogorov-Smirnov- statistic = D- : 0.12 p-value of test : 0.52 Anderson-Darling statistic = A2 : 0.44 p-value of test : 0.81 ----------------------------------------------- CPU time used : 00:58:36.00 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_discrete_time_system svaria_SampleProd test: ----------------------------------------------- N = 40, n = 10000000, r = 0, t = 8 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.054 p-value of test : 0.76 Kolmogorov-Smirnov- statistic = D- : 0.082 p-value of test : 0.55 Anderson-Darling statistic = A2 : 0.28 p-value of test : 0.95 ----------------------------------------------- CPU time used : 00:30:09.92 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_discrete_time_system svaria_SampleProd test: ----------------------------------------------- N = 20, n = 10000000, r = 0, t = 16 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.16 p-value of test : 0.34 Kolmogorov-Smirnov- statistic = D- : 0.088 p-value of test : 0.69 Anderson-Darling statistic = A2 : 0.68 p-value of test : 0.57 ----------------------------------------------- CPU time used : 00:29:34.76 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_discrete_time_system svaria_SampleProd test: ----------------------------------------------- N = 20, n = 10000000, r = 0, t = 24 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.15 p-value of test : 0.39 Kolmogorov-Smirnov- statistic = D- : 0.094 p-value of test : 0.66 Anderson-Darling statistic = A2 : 0.68 p-value of test : 0.58 ----------------------------------------------- CPU time used : 00:44:04.10 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_discrete_time_system svaria_SampleMean test: ----------------------------------------------- N = 20000000, n = 30, r = 0 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 2.13e-4 p-value of test : 0.16 Kolmogorov-Smirnov- statistic = D- : 1.86e-5 p-value of test : 0.99 Anderson-Darling statistic = A2 : 1.43 p-value of test : 0.19 ----------------------------------------------- CPU time used : 00:05:45.39 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_discrete_time_system svaria_SampleMean test: ----------------------------------------------- N = 20000000, n = 30, r = 10 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 1.48e-4 p-value of test : 0.42 Kolmogorov-Smirnov- statistic = D- : 8.34e-5 p-value of test : 0.76 Anderson-Darling statistic = A2 : 0.73 p-value of test : 0.53 ----------------------------------------------- CPU time used : 00:05:47.26 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_discrete_time_system svaria_SampleCorr test: ----------------------------------------------- N = 1, n = 2000000000, r = 0, k = 1 ----------------------------------------------- Normal statistic : 1.35 p-value of test : 0.09 ----------------------------------------------- CPU time used : 00:17:57.60 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_discrete_time_system svaria_SampleCorr test: ----------------------------------------------- N = 1, n = 2000000000, r = 0, k = 2 ----------------------------------------------- Normal statistic : -0.30 p-value of test : 0.62 ----------------------------------------------- CPU time used : 00:17:57.86 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : -1.85 p-value of test : 0.97 ----------------------------------------------- CPU time used : 00:46:50.89 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 0.84 p-value of test : 0.20 ----------------------------------------------- CPU time used : 00:46:58.83 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 43.70 p-value of test : 0.99 ----------------------------------------------- CPU time used : 00:45:47.77 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 92.22 p-value of test : 0.02 ----------------------------------------------- CPU time used : 00:46:45.27 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 71.49 p-value of test : 0.33 ----------------------------------------------- CPU time used : 00:46:37.05 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 52.41 p-value of test : 0.05 ----------------------------------------------- CPU time used : 00:45:45.80 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 33.17 p-value of test : 0.65 ----------------------------------------------- CPU time used : 00:46:29.86 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 36.20 p-value of test : 0.51 ----------------------------------------------- CPU time used : 00:46:30.77 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_discrete_time_system svaria_SumCollector test: ----------------------------------------------- N = 1, n = 500000000, r = 0, g = 10 ----------------------------------------------- Number of degrees of freedom : 29 Chi-square statistic : 43.26 p-value of test : 0.04 ----------------------------------------------- CPU time used : 01:31:56.26 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_discrete_time_system smarsa_MatrixRank test: ----------------------------------------------- N = 10, n = 1000000, r = 0, s = 5, L = 30, k = 30 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.23 p-value of test : 0.29 Kolmogorov-Smirnov- statistic = D- : 0.11 p-value of test : 0.75 Anderson-Darling statistic = A2 : 0.46 p-value of test : 0.79 Test on the sum of all N observations Number of degrees of freedom : 40 Chi-square statistic : 33.45 p-value of test : 0.76 ----------------------------------------------- CPU time used : 00:17:04.26 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_discrete_time_system smarsa_MatrixRank test: ----------------------------------------------- N = 10, n = 1000000, r = 25, s = 5, L = 30, k = 30 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.20 p-value of test : 0.41 Kolmogorov-Smirnov- statistic = D- : 0.13 p-value of test : 0.66 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 : 40 Chi-square statistic : 40.42 p-value of test : 0.45 ----------------------------------------------- CPU time used : 00:17:03.29 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 0.53 p-value of test : 0.91 ----------------------------------------------- CPU time used : 00:14:20.10 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 0.93 p-value of test : 0.82 ----------------------------------------------- CPU time used : 00:14:19.75 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 00:04:20.67 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 1.25 p-value of test : 0.54 ----------------------------------------------- CPU time used : 00:03:12.52 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_discrete_time_system smarsa_Savir2 test: ----------------------------------------------- N = 10, n = 10000000, r = 10, m = 1048576, t = 30 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.38 p-value of test : 0.04 Kolmogorov-Smirnov- statistic = D- : 0.063 p-value of test : 0.89 Anderson-Darling statistic = A2 : 1.65 p-value of test : 0.15 Test on the sum of all N observations Number of degrees of freedom : 130 Chi-square statistic : 105.19 p-value of test : 0.95 ----------------------------------------------- CPU time used : 00:27:13.67 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_discrete_time_system smarsa_GCD test: ----------------------------------------------- N = 10, n = 50000000, r = 0, s = 30 ----------------------------------------------- Test results for GCD values: Kolmogorov-Smirnov+ statistic = D+ : 0.26 p-value of test : 0.22 Kolmogorov-Smirnov- statistic = D- : 0.32 p-value of test : 0.11 Anderson-Darling statistic = A2 : 1.21 p-value of test : 0.26 Test on the sum of all N observations Number of degrees of freedom : 17430 Chi-square statistic :17439.90 p-value of test : 0.48 ----------------------------------------------- CPU time used : 00:10:34.88 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 35.87 p-value of test : 0.47 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 ChiSquare statistic : 45.48 p-value of test : 0.11 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 ChiSquare statistic : 21.19 p-value of test : 0.68 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 ChiSquare statistic : 24.67 p-value of test : 0.42 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 ChiSquare statistic : 22.81 p-value of test : 0.16 ----------------------------------------------- CPU time used : 00:09:38.44 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 39.82 p-value of test : 0.30 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 ChiSquare statistic : 31.48 p-value of test : 0.64 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 ChiSquare statistic : 25.72 p-value of test : 0.42 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 ChiSquare statistic : 12.23 p-value of test : 0.98 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 ChiSquare statistic : 11.28 p-value of test : 0.84 ----------------------------------------------- CPU time used : 00:09:39.79 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 132.90 p-value of test : 0.77 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 ChiSquare statistic : 124.48 p-value of test : 0.90 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 ChiSquare statistic : 478.24 p-value of test : 0.75 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 ChiSquare statistic : 142.32 p-value of test : 0.34 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 ChiSquare statistic : 72.49 p-value of test : 0.53 ----------------------------------------------- CPU time used : 00:10:10.45 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 153.29 p-value of test : 0.32 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 ChiSquare statistic : 146.32 p-value of test : 0.48 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 ChiSquare statistic : 508.63 p-value of test : 0.38 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 ChiSquare statistic : 108.69 p-value of test : 0.96 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 ChiSquare statistic : 84.62 p-value of test : 0.19 ----------------------------------------------- CPU time used : 00:10:11.85 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 375.35 p-value of test : 0.61 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 ChiSquare statistic : 327.26 p-value of test : 0.98 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 ChiSquare statistic : 5044.91 p-value of test : 0.32 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 ChiSquare statistic : 366.02 p-value of test : 0.66 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 ChiSquare statistic : 180.21 p-value of test : 0.84 ----------------------------------------------- CPU time used : 00:07:06.85 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 412.65 p-value of test : 0.15 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 ChiSquare statistic : 403.01 p-value of test : 0.24 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 ChiSquare statistic : 5095.75 p-value of test : 0.17 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 ChiSquare statistic : 361.76 p-value of test : 0.72 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 ChiSquare statistic : 161.69 p-value of test : 0.98 ----------------------------------------------- CPU time used : 00:07:07.39 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 8.18 p-value of test : 0.77 ----------------------------------------------- Normal statistic for number of jumps : 0.13 p-value of test : 0.45 ----------------------------------------------- CPU time used : 00:02:14.00 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 15.72 p-value of test : 0.20 ----------------------------------------------- Normal statistic for number of jumps : -1.01 p-value of test : 0.84 ----------------------------------------------- CPU time used : 00:02:14.00 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 0.64 Kolmogorov-Smirnov- statistic = D- : 0.18 p-value of test : 0.49 Anderson-Darling statistic = A2 : 0.30 p-value of test : 0.93 Tests on the sum of all N observations Standardized normal statistic : -0.092 p-value of test : 0.54 Sample variance : 1.29 p-value of test : 0.24 ----------------------------------------------- CPU time used : 00:01:31.25 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_discrete_time_system scomp_LempelZiv test: ----------------------------------------------- N = 10, n = 134217728, r = 15, s = 15, k = 27 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.13 p-value of test : 0.65 Kolmogorov-Smirnov- statistic = D- : 0.20 p-value of test : 0.41 Anderson-Darling statistic = A2 : 0.38 p-value of test : 0.86 Tests on the sum of all N observations Standardized normal statistic : -0.10 p-value of test : 0.54 Sample variance : 1.11 p-value of test : 0.35 ----------------------------------------------- CPU time used : 00:01:57.61 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_discrete_time_system sspectral_Fourier3 test: ----------------------------------------------- N = 100000, n = 16384, r = 0, s = 3, k = 14 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 5.49e-3 p-value of test : 0.78 Kolmogorov-Smirnov- statistic = D- : 8.75e-3 p-value of test : 0.53 Anderson-Darling statistic = A2 : 0.37 p-value of test : 0.87 ----------------------------------------------- CPU time used : 00:05:31.86 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_discrete_time_system sspectral_Fourier3 test: ----------------------------------------------- N = 100000, n = 16384, r = 27, s = 3, k = 14 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 2.90e-3 p-value of test : 0.93 Kolmogorov-Smirnov- statistic = D- : 9.27e-3 p-value of test : 0.49 Anderson-Darling statistic = A2 : 0.34 p-value of test : 0.90 ----------------------------------------------- CPU time used : 00:05:31.92 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 8.43 p-value of test : 0.39 ----------------------------------------------- Global longest run of 1 : 31.00 p-value of test : 0.69 ----------------------------------------------- CPU time used : 00:30:40.14 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 7.09 p-value of test : 0.53 ----------------------------------------------- Global longest run of 1 : 32.00 p-value of test : 0.50 ----------------------------------------------- CPU time used : 00:30:41.45 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_discrete_time_system sstring_PeriodsInStrings test: ----------------------------------------------- N = 10, n = 500000000, r = 0, s = 10 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.25 p-value of test : 0.25 Kolmogorov-Smirnov- statistic = D- : 0.029 p-value of test : 0.96 Anderson-Darling statistic = A2 : 1.14 p-value of test : 0.29 Test on the sum of all N observations Number of degrees of freedom : 200 Chi-square statistic : 177.11 p-value of test : 0.88 ----------------------------------------------- CPU time used : 00:46:37.48 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_discrete_time_system sstring_PeriodsInStrings test: ----------------------------------------------- N = 10, n = 500000000, r = 20, s = 10 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.044 p-value of test : 0.94 Kolmogorov-Smirnov- statistic = D- : 0.30 p-value of test : 0.14 Anderson-Darling statistic = A2 : 1.21 p-value of test : 0.26 Test on the sum of all N observations Number of degrees of freedom : 200 Chi-square statistic : 225.13 p-value of test : 0.11 ----------------------------------------------- CPU time used : 00:46:37.38 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_discrete_time_system sstring_HammingWeight2 test: ----------------------------------------------- N = 10, n = 1000000000, r = 0, s = 3, L = 1000000 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.15 p-value of test : 0.60 Kolmogorov-Smirnov- statistic = D- : 0.30 p-value of test : 0.13 Anderson-Darling statistic = A2 : 1.05 p-value of test : 0.33 Test on the sum of all N observations Number of degrees of freedom : 10000 Chi-square statistic :10090.49 p-value of test : 0.26 ----------------------------------------------- CPU time used : 00:30:05.57 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_discrete_time_system sstring_HammingWeight2 test: ----------------------------------------------- N = 10, n = 1000000000, r = 27, s = 3, L = 1000000 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.26 p-value of test : 0.21 Kolmogorov-Smirnov- statistic = D- : 0.056 p-value of test : 0.91 Anderson-Darling statistic = A2 : 0.68 p-value of test : 0.57 Test on the sum of all N observations Number of degrees of freedom : 10000 Chi-square statistic : 9869.49 p-value of test : 0.82 ----------------------------------------------- CPU time used : 00:30:27.83 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_discrete_time_system sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 1000000000, r = 10, s = 10, L = 30 ----------------------------------------------- Normal statistic : 2.42 p-value of test : 7.7e-3 ----------------------------------------------- CPU time used : 00:27:33.23 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_discrete_time_system sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 100000000, r = 10, s = 10, L = 300 ----------------------------------------------- Normal statistic : 0.78 p-value of test : 0.22 ----------------------------------------------- CPU time used : 00:27:27.36 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_discrete_time_system sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 100000000, r = 10, s = 10, L = 1200 ----------------------------------------------- Normal statistic : -1.54 p-value of test : 0.94 ----------------------------------------------- CPU time used : 01:49:47.39 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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+ : 0.094 p-value of test : 0.79 Kolmogorov-Smirnov- statistic = D- : 0.11 p-value of test : 0.72 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 : 4890 Chi-square statistic : 4894.94 p-value of test : 0.48 ----------------------------------------------- CPU time used : 00:54:54.86 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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+ : 0.20 p-value of test : 0.41 Kolmogorov-Smirnov- statistic = D- : 0.085 p-value of test : 0.82 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 : 4890 Chi-square statistic : 4822.10 p-value of test : 0.75 ----------------------------------------------- CPU time used : 00:54:47.32 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 4081.13 p-value of test : 0.65 ----------------------------------------------- CPU time used : 00:41:07.89 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 4181.04 p-value of test : 0.24 ----------------------------------------------- CPU time used : 00:41:04.07 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 :11775.09 p-value of test : 0.63 ----------------------------------------------- CPU time used : 00:43:55.94 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 :12067.05 p-value of test : 0.06 ----------------------------------------------- CPU time used : 00:43:51.23 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 50.03 p-value of test : 0.63 ----------------------------------------------- Total number of bits: 8000038932 Normal statistic for number of bits : 0.31 p-value of test : 0.38 ----------------------------------------------- CPU time used : 00:24:41.76 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 54.02 p-value of test : 0.47 ----------------------------------------------- Total number of bits: 7999858464 Normal statistic for number of bits : -1.12 p-value of test : 0.87 ----------------------------------------------- CPU time used : 00:24:44.35 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_discrete_time_system sstring_AutoCor test: ----------------------------------------------- N = 10, n = 1000000030, r = 0, s = 3, d = 1 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.23 p-value of test : 0.31 Kolmogorov-Smirnov- statistic = D- : 0.091 p-value of test : 0.80 Anderson-Darling statistic = A2 : 0.50 p-value of test : 0.74 Tests on the sum of all N observations Standardized normal statistic : -0.60 p-value of test : 0.72 Sample variance : 0.67 p-value of test : 0.74 ----------------------------------------------- CPU time used : 00:31:43.69 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_discrete_time_system sstring_AutoCor test: ----------------------------------------------- N = 10, n = 1000000029, r = 0, s = 3, d = 3 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.22 p-value of test : 0.35 Kolmogorov-Smirnov- statistic = D- : 0.16 p-value of test : 0.53 Anderson-Darling statistic = A2 : 0.66 p-value of test : 0.59 Tests on the sum of all N observations Standardized normal statistic : -0.29 p-value of test : 0.62 Sample variance : 0.35 p-value of test : 0.96 ----------------------------------------------- CPU time used : 00:31:20.80 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_discrete_time_system sstring_AutoCor test: ----------------------------------------------- N = 10, n = 1000000030, r = 27, s = 3, d = 1 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.092 p-value of test : 0.80 Kolmogorov-Smirnov- statistic = D- : 0.43 p-value of test : 0.02 Anderson-Darling statistic = A2 : 2.48 p-value of test : 0.05 Tests on the sum of all N observations Standardized normal statistic : 1.62 p-value of test : 0.05 Sample variance : 1.86 p-value of test : 0.05 ----------------------------------------------- CPU time used : 00:31:37.10 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_discrete_time_system sstring_AutoCor test: ----------------------------------------------- N = 10, n = 1000000029, r = 27, s = 3, d = 3 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.097 p-value of test : 0.78 Kolmogorov-Smirnov- statistic = D- : 0.20 p-value of test : 0.41 Anderson-Darling statistic = A2 : 0.35 p-value of test : 0.89 Tests on the sum of all N observations Standardized normal statistic : 0.30 p-value of test : 0.38 Sample variance : 1.02 p-value of test : 0.42 ----------------------------------------------- CPU time used : 00:31:22.60 Generator state: ========= Summary results of BigCrush ========= Version: TestU01 1.2.3 Generator: anti_control_for_8D_discrete_time_system Number of statistics: 160 Total CPU time: 57:55:33.22 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_8D_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 : 5424 p-value of test : 0.16 ----------------------------- Total number of cells containing j balls j = 0 : 8246040184944 j = 1 : 297017952 j = 2 : 5424 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:02:21.23 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_discrete_time_system snpair_ClosePairsBitMatch test: ----------------------------------------------- N = 8, n = 1953125, r = 0, t = 2 ----------------------------------------------- Max of all bit distances : 21.00 p-value of test : 0.58 ----------------------------------------------- CPU time used : 00:00:24.08 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 00:00:22.92 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 0.97 p-value of test : 0.17 ----------------------------------------------- CPU time used : 00:00:19.61 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 11.47 p-value of test : 0.25 ----------------------------------------------- Normal statistic for number of jumps : -0.81 p-value of test : 0.79 ----------------------------------------------- CPU time used : 00:00:04.36 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_discrete_time_system scomp_LempelZiv test: ----------------------------------------------- N = 1, n = 268435456, r = 0, s = 32, k = 28 ----------------------------------------------- Normal statistic : -0.040 p-value of test : 0.52 ----------------------------------------------- CPU time used : 00:00:16.29 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_discrete_time_system sspectral_Fourier1 test: ----------------------------------------------- N = 1, n = 1048576, r = 0, s = 32, k = 20 ----------------------------------------------- Normal statistic : 0.022 p-value of test : 0.49 ----------------------------------------------- CPU time used : 00:00:02.92 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 0.13 Kolmogorov-Smirnov- statistic = D- : 9.21e-3 p-value of test : 0.50 Anderson-Darling statistic = A2 : 1.17 p-value of test : 0.28 ----------------------------------------------- CPU time used : 00:00:38.98 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 11.08 p-value of test : 0.20 ----------------------------------------------- Global longest run of 1 : 29.00 p-value of test : 0.61 ----------------------------------------------- CPU time used : 00:00:21.32 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_discrete_time_system sstring_PeriodsInStrings test: ----------------------------------------------- N = 1, n = 31250000, r = 0, s = 31 ----------------------------------------------- Number of degrees of freedom : 215 Chi-square statistic : 250.47 p-value of test : 0.05 ----------------------------------------------- CPU time used : 00:00:18.26 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 24.73 p-value of test : 0.53 ----------------------------------------------- CPU time used : 00:00:17.47 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_discrete_time_system sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 31250000, r = 0, s = 32, L = 32 ----------------------------------------------- Normal statistic : -2.32 p-value of test : 0.99 ----------------------------------------------- CPU time used : 00:00:17.39 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_discrete_time_system sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 15625000, r = 0, s = 32, L = 64 ----------------------------------------------- Normal statistic : 0.97 p-value of test : 0.17 ----------------------------------------------- CPU time used : 00:00:17.44 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 00:00:17.38 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 253.01 p-value of test : 0.56 ----------------------------------------------- CPU time used : 00:00:17.64 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 487.71 p-value of test : 0.61 ----------------------------------------------- CPU time used : 00:00:17.86 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 912.94 p-value of test : 0.19 ----------------------------------------------- CPU time used : 00:00:17.85 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_discrete_time_system sstring_AutoCor test: ----------------------------------------------- N = 2, n = 499999937, r = 0, s = 32, d = 1 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.050 p-value of test : 0.95 Kolmogorov-Smirnov- statistic = D- : 0.84 p-value of test : 0.02 Anderson-Darling statistic = A2 : 2.45 p-value of test : 0.06 Tests on the sum of all N observations Standardized normal statistic : 1.88 p-value of test : 0.03 Sample variance : 0.20 p-value of test : 0.65 ----------------------------------------------- CPU time used : 00:00:18.45 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_discrete_time_system sstring_AutoCor test: ----------------------------------------------- N = 2, n = 499999938, r = 0, s = 32, d = 2 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.024 p-value of test : 0.97 Kolmogorov-Smirnov- statistic = D- : 0.67 p-value of test : 0.11 Anderson-Darling statistic = A2 : 1.74 p-value of test : 0.13 Tests on the sum of all N observations Standardized normal statistic : 1.70 p-value of test : 0.04 Sample variance : 1.19 p-value of test : 0.28 ----------------------------------------------- CPU time used : 00:00:18.45 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_discrete_time_system sstring_Run test: ----------------------------------------------- N = 1, n = 200000000, r = 0, s = 32 ----------------------------------------------- Total number of 1 runs: 200000007 Number of degrees of freedom : 48 Chi2 statistic for number of runs : 60.15 p-value of test : 0.11 ----------------------------------------------- Total number of bits: 800021600 Normal statistic for number of bits : 0.54 p-value of test : 0.29 ----------------------------------------------- CPU time used : 00:00:17.16 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 0.63 p-value of test : 0.96 ----------------------------------------------- CPU time used : 00:00:22.39 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 2.73 p-value of test : 0.44 ----------------------------------------------- CPU time used : 00:00:24.14 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 1.66 p-value of test : 0.44 ----------------------------------------------- CPU time used : 00:00:30.47 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 65.46 p-value of test : 0.10 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 53 ChiSquare statistic : 65.93 p-value of test : 0.11 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 64 ChiSquare statistic : 84.65 p-value of test : 0.04 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 43 ChiSquare statistic : 30.00 p-value of test : 0.93 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 26 ChiSquare statistic : 30.21 p-value of test : 0.26 ----------------------------------------------- CPU time used : 00:00:23.76 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 126.86 p-value of test : 0.56 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 131 ChiSquare statistic : 129.05 p-value of test : 0.53 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 512 ChiSquare statistic : 474.65 p-value of test : 0.88 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 124 ChiSquare statistic : 138.68 p-value of test : 0.17 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 67 ChiSquare statistic : 61.34 p-value of test : 0.67 ----------------------------------------------- CPU time used : 00:00:23.48 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 291.30 p-value of test : 0.86 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 319 ChiSquare statistic : 357.84 p-value of test : 0.07 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5008 ChiSquare statistic : 5007.09 p-value of test : 0.50 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 315 ChiSquare statistic : 328.80 p-value of test : 0.28 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 169 ChiSquare statistic : 206.49 p-value of test : 0.03 ----------------------------------------------- CPU time used : 00:00:23.35 Generator state: ========= Summary results of Rabbit ========= Version: TestU01 1.2.3 Generator: anti_control_for_8D_discrete_time_system Number of bits: 1000000000 Number of statistics: 40 Total CPU time: 00:10:35.11 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_8D_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 : 0.23 p-value of test : 0.89 ----------------------------------------------- CPU time used : 00:00:18.13 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 8.58 p-value of test : 0.38 ----------------------------------------------- CPU time used : 00:00:18.10 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 105.42 p-value of test : 0.93 ----------------------------------------------- CPU time used : 00:00:18.10 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 :33201.81 p-value of test : 0.05 ----------------------------------------------- CPU time used : 00:00:21.20 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 261.99 p-value of test : 0.40 ----------------------------------------------- CPU time used : 00:00:17.95 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 415.95 p-value of test : 0.9966 ----------------------------------------------- CPU time used : 00:00:17.79 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_discrete_time_system sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 31250000, r = 0, s = 32, L = 32 ----------------------------------------------- Normal statistic : 0.80 p-value of test : 0.21 ----------------------------------------------- CPU time used : 00:00:17.54 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 36.67 p-value of test : 0.53 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 38 ChiSquare statistic : 34.85 p-value of test : 0.62 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 32 ChiSquare statistic : 41.21 p-value of test : 0.13 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 28 ChiSquare statistic : 28.53 p-value of test : 0.44 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 19 ChiSquare statistic : 13.24 p-value of test : 0.83 ----------------------------------------------- CPU time used : 00:00:24.25 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 73.49 p-value of test : 0.62 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 79 ChiSquare statistic : 96.75 p-value of test : 0.09 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 160 ChiSquare statistic : 180.04 p-value of test : 0.13 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 71 ChiSquare statistic : 88.78 p-value of test : 0.08 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 40 ChiSquare statistic : 21.76 p-value of test : 0.9917 ----------------------------------------------- CPU time used : 00:00:23.70 Generator state: ========= Summary results of Alphabit ========= Version: TestU01 1.2.3 Generator: anti_control_for_8D_discrete_time_system Number of bits: 1000000000 Number of statistics: 17 Total CPU time: 00:02:56.77 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 : 9.60 p-value of test : 0.14 r = 1 ChiSquare statistic : 5.47 p-value of test : 0.49 r = 2 ChiSquare statistic : 3.77 p-value of test : 0.71 r = 3 ChiSquare statistic : 4.68 p-value of test : 0.59 r = 4 ChiSquare statistic : 4.47 p-value of test : 0.61 r = 5 ChiSquare statistic : 7.85 p-value of test : 0.25 r = 6 ChiSquare statistic : 7.23 p-value of test : 0.30 r = 7 ChiSquare statistic : 2.30 p-value of test : 0.89 r = 8 ChiSquare statistic : 6.57 p-value of test : 0.36 *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 4.45 p-value of test : 0.22 ----------------------------------------------- CPU time used : 00:00:00.89 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 6.30 p-value of test : 0.10 ----------------------------------------------- CPU time used : 00:00:00.92 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 3.09 p-value of test : 0.21 ----------------------------------------------- CPU time used : 00:00:00.35 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 00:00:00.35 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 0.80 p-value of test : 0.67 ----------------------------------------------- CPU time used : 00:00:00.35 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 1.44 p-value of test : 0.49 ----------------------------------------------- CPU time used : 00:00:00.35 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 0.16 p-value of test : 0.92 ----------------------------------------------- CPU time used : 00:00:00.35 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 0.29 p-value of test : 0.87 ----------------------------------------------- CPU time used : 00:00:00.35 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 0.94 p-value of test : 0.62 ----------------------------------------------- CPU time used : 00:00:00.35 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 0.10 p-value of test : 0.95 ----------------------------------------------- CPU time used : 00:00:00.35 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 1.35 p-value of test : 0.51 ----------------------------------------------- CPU time used : 00:00:00.35 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 2.78 p-value of test : 0.25 ----------------------------------------------- CPU time used : 00:00:00.35 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 4.08 p-value of test : 0.13 ----------------------------------------------- CPU time used : 00:00:00.35 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 0.93 p-value of test : 0.63 ----------------------------------------------- CPU time used : 00:00:00.35 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 0.75 p-value of test : 0.69 ----------------------------------------------- CPU time used : 00:00:00.35 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 0.26 p-value of test : 0.88 ----------------------------------------------- CPU time used : 00:00:00.35 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 1.19 p-value of test : 0.55 ----------------------------------------------- CPU time used : 00:00:00.35 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 1.66 p-value of test : 0.44 ----------------------------------------------- CPU time used : 00:00:00.35 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 2.29 p-value of test : 0.32 ----------------------------------------------- CPU time used : 00:00:00.33 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 3.09 p-value of test : 0.21 ----------------------------------------------- CPU time used : 00:00:00.35 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 1.60 p-value of test : 0.45 ----------------------------------------------- CPU time used : 00:00:00.35 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 4.44 p-value of test : 0.11 ----------------------------------------------- CPU time used : 00:00:00.35 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 3.03 p-value of test : 0.22 ----------------------------------------------- CPU time used : 00:00:00.35 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 1.15 p-value of test : 0.56 ----------------------------------------------- CPU time used : 00:00:00.35 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 4.02 p-value of test : 0.13 ----------------------------------------------- CPU time used : 00:00:00.35 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 2.69 p-value of test : 0.26 ----------------------------------------------- CPU time used : 00:00:00.35 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 1.47 p-value of test : 0.48 ----------------------------------------------- CPU time used : 00:00:00.35 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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+ : 0.15 p-value of test : 0.36 Kolmogorov-Smirnov- statistic = D- : 0.11 p-value of test : 0.59 Anderson-Darling statistic = A2 : 0.56 p-value of test : 0.69 For the sum of the N observations, we use the Normal approximation: Standardized empirical mean : -0.15 p-value of test : 0.56 Standardized empirical correlation : -0.87 p-value of test : 0.81 ----------------------------------------------- CPU time used : 00:00:01.76 Generator state: *********************************************************** Test smarsa_Opso calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 1.77 p-value of test : 0.04 ----------------------------- Total number of cells containing j balls j = 0 : 142422 j = 1 : 282684 j = 2 : 284348 j = 3 : 189340 j = 4 : 94616 j = 5 : 37798 ----------------------------------------------- CPU time used : 00:00:01.32 Generator state: *********************************************************** Test smarsa_Opso calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : -0.029 p-value of test : 0.51 ----------------------------- Total number of cells containing j balls j = 0 : 141900 j = 1 : 283789 j = 2 : 283569 j = 3 : 189748 j = 4 : 94456 j = 5 : 37781 ----------------------------------------------- CPU time used : 00:00:01.32 Generator state: *********************************************************** Test smarsa_Opso calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 0.054 p-value of test : 0.48 ----------------------------- Total number of cells containing j balls j = 0 : 141924 j = 1 : 283453 j = 2 : 284371 j = 3 : 189156 j = 4 : 94511 j = 5 : 37775 ----------------------------------------------- CPU time used : 00:00:01.32 Generator state: *********************************************************** Test smarsa_Opso calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : -1.97 p-value of test : 0.98 ----------------------------- Total number of cells containing j balls j = 0 : 141336 j = 1 : 284856 j = 2 : 283504 j = 3 : 189023 j = 4 : 94501 j = 5 : 38037 ----------------------------------------------- CPU time used : 00:00:01.32 Generator state: *********************************************************** Test smarsa_Opso calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : -1.57 p-value of test : 0.94 ----------------------------- Total number of cells containing j balls j = 0 : 141454 j = 1 : 284611 j = 2 : 282891 j = 3 : 190254 j = 4 : 94306 j = 5 : 37743 ----------------------------------------------- CPU time used : 00:00:01.32 Generator state: *********************************************************** Test smarsa_Opso calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 0.34 p-value of test : 0.37 ----------------------------- Total number of cells containing j balls j = 0 : 142008 j = 1 : 284200 j = 2 : 283265 j = 3 : 189199 j = 4 : 94615 j = 5 : 37555 ----------------------------------------------- CPU time used : 00:00:01.32 Generator state: *********************************************************** Test smarsa_Opso calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : -0.13 p-value of test : 0.55 ----------------------------- Total number of cells containing j balls j = 0 : 141871 j = 1 : 283970 j = 2 : 283578 j = 3 : 189652 j = 4 : 94341 j = 5 : 37609 ----------------------------------------------- CPU time used : 00:00:01.32 Generator state: *********************************************************** Test smarsa_Opso calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 1.29 p-value of test : 0.10 ----------------------------- Total number of cells containing j balls j = 0 : 142284 j = 1 : 283125 j = 2 : 284071 j = 3 : 189108 j = 4 : 94634 j = 5 : 38121 ----------------------------------------------- CPU time used : 00:00:01.32 Generator state: *********************************************************** Test smarsa_Opso calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 0.69 p-value of test : 0.24 ----------------------------- Total number of cells containing j balls j = 0 : 142110 j = 1 : 283553 j = 2 : 283821 j = 3 : 189227 j = 4 : 94640 j = 5 : 37855 ----------------------------------------------- CPU time used : 00:00:01.32 Generator state: *********************************************************** Test smarsa_Opso calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 0.84 ----------------------------- Total number of cells containing j balls j = 0 : 141615 j = 1 : 283758 j = 2 : 284445 j = 3 : 189198 j = 4 : 94539 j = 5 : 37588 ----------------------------------------------- CPU time used : 00:00:01.32 Generator state: *********************************************************** Test smarsa_Opso calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : -0.34 p-value of test : 0.63 ----------------------------- Total number of cells containing j balls j = 0 : 141809 j = 1 : 283991 j = 2 : 283510 j = 3 : 189251 j = 4 : 95030 j = 5 : 37835 ----------------------------------------------- CPU time used : 00:00:01.32 Generator state: *********************************************************** Test smarsa_Opso calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 0.55 p-value of test : 0.29 ----------------------------- Total number of cells containing j balls j = 0 : 142067 j = 1 : 283596 j = 2 : 284109 j = 3 : 188850 j = 4 : 94744 j = 5 : 37750 ----------------------------------------------- CPU time used : 00:00:01.32 Generator state: *********************************************************** Test smarsa_Opso calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 0.92 p-value of test : 0.18 ----------------------------- Total number of cells containing j balls j = 0 : 142176 j = 1 : 283877 j = 2 : 283610 j = 3 : 188927 j = 4 : 94492 j = 5 : 37855 ----------------------------------------------- CPU time used : 00:00:01.32 Generator state: *********************************************************** Test smarsa_Opso calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 0.47 p-value of test : 0.32 ----------------------------- Total number of cells containing j balls j = 0 : 142044 j = 1 : 283846 j = 2 : 283251 j = 3 : 189615 j = 4 : 94701 j = 5 : 37799 ----------------------------------------------- CPU time used : 00:00:01.32 Generator state: *********************************************************** Test smarsa_Opso calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 0.13 p-value of test : 0.45 ----------------------------- Total number of cells containing j balls j = 0 : 141947 j = 1 : 284043 j = 2 : 283281 j = 3 : 189648 j = 4 : 94377 j = 5 : 37878 ----------------------------------------------- CPU time used : 00:00:01.32 Generator state: *********************************************************** Test smarsa_Opso calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : -0.52 p-value of test : 0.70 ----------------------------- Total number of cells containing j balls j = 0 : 141758 j = 1 : 283283 j = 2 : 284782 j = 3 : 189635 j = 4 : 93932 j = 5 : 37727 ----------------------------------------------- CPU time used : 00:00:01.32 Generator state: *********************************************************** Test smarsa_Opso calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : -1.06 p-value of test : 0.86 ----------------------------- Total number of cells containing j balls j = 0 : 141600 j = 1 : 284764 j = 2 : 283147 j = 3 : 189125 j = 4 : 94591 j = 5 : 37832 ----------------------------------------------- CPU time used : 00:00:01.32 Generator state: *********************************************************** Test smarsa_Opso calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : -1.34 p-value of test : 0.91 ----------------------------- Total number of cells containing j balls j = 0 : 141518 j = 1 : 284445 j = 2 : 283708 j = 3 : 189058 j = 4 : 94467 j = 5 : 38122 ----------------------------------------------- CPU time used : 00:00:01.32 Generator state: *********************************************************** Test smarsa_Opso calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : -0.96 p-value of test : 0.83 ----------------------------- Total number of cells containing j balls j = 0 : 141631 j = 1 : 283806 j = 2 : 284610 j = 3 : 188662 j = 4 : 94574 j = 5 : 38159 ----------------------------------------------- CPU time used : 00:00:01.32 Generator state: *********************************************************** Test smarsa_Opso calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : -0.26 p-value of test : 0.60 ----------------------------- Total number of cells containing j balls j = 0 : 141832 j = 1 : 283746 j = 2 : 284282 j = 3 : 188942 j = 4 : 94566 j = 5 : 37823 ----------------------------------------------- CPU time used : 00:00:01.32 Generator state: *********************************************************** Test smarsa_Opso calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 1.07 p-value of test : 0.14 ----------------------------- Total number of cells containing j balls j = 0 : 142220 j = 1 : 284209 j = 2 : 282434 j = 3 : 189521 j = 4 : 94961 j = 5 : 37926 ----------------------------------------------- CPU time used : 00:00:01.32 Generator state: *********************************************************** Test smarsa_Opso calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 0.34 p-value of test : 0.37 ----------------------------- Total number of cells containing j balls j = 0 : 142006 j = 1 : 283658 j = 2 : 284186 j = 3 : 188722 j = 4 : 94715 j = 5 : 37881 ----------------------------------------------- CPU time used : 00:00:01.32 Generator state: *********************************************************** Test smarsa_Opso calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : -1.18 p-value of test : 0.88 ----------------------------- Total number of cells containing j balls j = 0 : 141567 j = 1 : 284370 j = 2 : 283750 j = 3 : 188950 j = 4 : 94869 j = 5 : 37656 ----------------------------------------------- CPU time used : 00:00:01.30 Generator state: *********************************************************** Test OQSO calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 0.99 p-value of test : 0.16 ----------------------------- Total number of cells containing j balls j = 0 : 142199 j = 1 : 284071 j = 2 : 283264 j = 3 : 189023 j = 4 : 94542 j = 5 : 37917 ----------------------------------------------- CPU time used : 00:00:01.32 Generator state: *********************************************************** Test OQSO calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 0.18 p-value of test : 0.43 ----------------------------- Total number of cells containing j balls j = 0 : 141959 j = 1 : 283850 j = 2 : 283687 j = 3 : 189371 j = 4 : 94494 j = 5 : 37824 ----------------------------------------------- CPU time used : 00:00:01.33 Generator state: *********************************************************** Test OQSO calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 1.78 p-value of test : 0.04 ----------------------------- Total number of cells containing j balls j = 0 : 142431 j = 1 : 283023 j = 2 : 283619 j = 3 : 189729 j = 4 : 94653 j = 5 : 37879 ----------------------------------------------- CPU time used : 00:00:01.32 Generator state: *********************************************************** Test OQSO calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : -0.57 p-value of test : 0.72 ----------------------------- Total number of cells containing j balls j = 0 : 141739 j = 1 : 284090 j = 2 : 283780 j = 3 : 189516 j = 4 : 94243 j = 5 : 37697 ----------------------------------------------- CPU time used : 00:00:01.32 Generator state: *********************************************************** Test OQSO calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : -0.31 p-value of test : 0.62 ----------------------------- Total number of cells containing j balls j = 0 : 141816 j = 1 : 283933 j = 2 : 284376 j = 3 : 188520 j = 4 : 94624 j = 5 : 37739 ----------------------------------------------- CPU time used : 00:00:01.32 Generator state: *********************************************************** Test OQSO calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 0.56 p-value of test : 0.29 ----------------------------- Total number of cells containing j balls j = 0 : 142073 j = 1 : 283419 j = 2 : 283931 j = 3 : 189607 j = 4 : 94579 j = 5 : 37405 ----------------------------------------------- CPU time used : 00:00:01.32 Generator state: *********************************************************** Test OQSO calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : -1.09 p-value of test : 0.86 ----------------------------- Total number of cells containing j balls j = 0 : 141585 j = 1 : 284422 j = 2 : 283188 j = 3 : 189821 j = 4 : 94463 j = 5 : 37772 ----------------------------------------------- CPU time used : 00:00:01.33 Generator state: *********************************************************** Test OQSO calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : -1.80 p-value of test : 0.96 ----------------------------- Total number of cells containing j balls j = 0 : 141377 j = 1 : 284104 j = 2 : 284160 j = 3 : 189785 j = 4 : 94182 j = 5 : 37421 ----------------------------------------------- CPU time used : 00:00:01.32 Generator state: *********************************************************** Test OQSO calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 0.57 p-value of test : 0.29 ----------------------------- Total number of cells containing j balls j = 0 : 142074 j = 1 : 283767 j = 2 : 283876 j = 3 : 188672 j = 4 : 95001 j = 5 : 37702 ----------------------------------------------- CPU time used : 00:00:01.32 Generator state: *********************************************************** Test OQSO calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 0.89 p-value of test : 0.19 ----------------------------- Total number of cells containing j balls j = 0 : 142169 j = 1 : 283640 j = 2 : 283459 j = 3 : 189622 j = 4 : 94463 j = 5 : 37703 ----------------------------------------------- CPU time used : 00:00:01.32 Generator state: *********************************************************** Test OQSO calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : -0.66 p-value of test : 0.75 ----------------------------- Total number of cells containing j balls j = 0 : 141712 j = 1 : 283993 j = 2 : 284105 j = 3 : 188949 j = 4 : 94734 j = 5 : 37611 ----------------------------------------------- CPU time used : 00:00:01.32 Generator state: *********************************************************** Test OQSO calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : -0.28 p-value of test : 0.61 ----------------------------- Total number of cells containing j balls j = 0 : 141824 j = 1 : 283935 j = 2 : 283499 j = 3 : 189773 j = 4 : 94148 j = 5 : 38051 ----------------------------------------------- CPU time used : 00:00:01.33 Generator state: *********************************************************** Test OQSO calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : -0.72 p-value of test : 0.76 ----------------------------- Total number of cells containing j balls j = 0 : 141695 j = 1 : 284255 j = 2 : 283795 j = 3 : 188966 j = 4 : 94635 j = 5 : 37787 ----------------------------------------------- CPU time used : 00:00:01.32 Generator state: *********************************************************** Test OQSO calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 0.41 p-value of test : 0.34 ----------------------------- Total number of cells containing j balls j = 0 : 142029 j = 1 : 283723 j = 2 : 283949 j = 3 : 188708 j = 4 : 95073 j = 5 : 37737 ----------------------------------------------- CPU time used : 00:00:01.32 Generator state: *********************************************************** Test OQSO calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 8.95e-4 p-value of test : 0.50 ----------------------------- Total number of cells containing j balls j = 0 : 141907 j = 1 : 283753 j = 2 : 283826 j = 3 : 189400 j = 4 : 94588 j = 5 : 37707 ----------------------------------------------- CPU time used : 00:00:01.32 Generator state: *********************************************************** Test OQSO calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : -0.25 p-value of test : 0.60 ----------------------------- Total number of cells containing j balls j = 0 : 141832 j = 1 : 283689 j = 2 : 284392 j = 3 : 188934 j = 4 : 94409 j = 5 : 38001 ----------------------------------------------- CPU time used : 00:00:01.32 Generator state: *********************************************************** Test OQSO calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : -0.49 p-value of test : 0.69 ----------------------------- Total number of cells containing j balls j = 0 : 141763 j = 1 : 283850 j = 2 : 283608 j = 3 : 189886 j = 4 : 94409 j = 5 : 37868 ----------------------------------------------- CPU time used : 00:00:01.32 Generator state: *********************************************************** Test OQSO calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : -0.68 p-value of test : 0.75 ----------------------------- Total number of cells containing j balls j = 0 : 141705 j = 1 : 283934 j = 2 : 284287 j = 3 : 189019 j = 4 : 94290 j = 5 : 37988 ----------------------------------------------- CPU time used : 00:00:01.32 Generator state: *********************************************************** Test OQSO calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : -1.39 p-value of test : 0.92 ----------------------------- Total number of cells containing j balls j = 0 : 141498 j = 1 : 284192 j = 2 : 284151 j = 3 : 188903 j = 4 : 94905 j = 5 : 37578 ----------------------------------------------- CPU time used : 00:00:01.32 Generator state: *********************************************************** Test OQSO calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : -0.016 p-value of test : 0.51 ----------------------------- Total number of cells containing j balls j = 0 : 141902 j = 1 : 283954 j = 2 : 283671 j = 3 : 189361 j = 4 : 94484 j = 5 : 37648 ----------------------------------------------- CPU time used : 00:00:01.32 Generator state: *********************************************************** Test OQSO calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : -1.21 p-value of test : 0.89 ----------------------------- Total number of cells containing j balls j = 0 : 141549 j = 1 : 284352 j = 2 : 283328 j = 3 : 189697 j = 4 : 94633 j = 5 : 37777 ----------------------------------------------- CPU time used : 00:00:01.32 Generator state: *********************************************************** Test OQSO calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 0.40 p-value of test : 0.34 ----------------------------- Total number of cells containing j balls j = 0 : 142026 j = 1 : 283239 j = 2 : 284064 j = 3 : 189504 j = 4 : 94704 j = 5 : 37879 ----------------------------------------------- CPU time used : 00:00:01.32 Generator state: *********************************************************** Test OQSO calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 0.39 p-value of test : 0.35 ----------------------------- Total number of cells containing j balls j = 0 : 142022 j = 1 : 284100 j = 2 : 283282 j = 3 : 189276 j = 4 : 94530 j = 5 : 37959 ----------------------------------------------- CPU time used : 00:00:01.32 Generator state: *********************************************************** Test OQSO calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 0.11 p-value of test : 0.46 ----------------------------- Total number of cells containing j balls j = 0 : 141939 j = 1 : 283787 j = 2 : 283580 j = 3 : 189471 j = 4 : 94493 j = 5 : 38001 ----------------------------------------------- CPU time used : 00:00:01.33 Generator state: *********************************************************** Test OQSO calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 1.01 p-value of test : 0.16 ----------------------------- Total number of cells containing j balls j = 0 : 142204 j = 1 : 283276 j = 2 : 283931 j = 3 : 189473 j = 4 : 94442 j = 5 : 37853 ----------------------------------------------- CPU time used : 00:00:01.32 Generator state: *********************************************************** Test OQSO calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 0.22 p-value of test : 0.41 ----------------------------- Total number of cells containing j balls j = 0 : 141972 j = 1 : 284096 j = 2 : 283093 j = 3 : 189574 j = 4 : 94616 j = 5 : 37912 ----------------------------------------------- CPU time used : 00:00:01.32 Generator state: *********************************************************** Test OQSO calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : -0.11 p-value of test : 0.54 ----------------------------- Total number of cells containing j balls j = 0 : 141875 j = 1 : 283489 j = 2 : 283945 j = 3 : 189912 j = 4 : 94221 j = 5 : 37834 ----------------------------------------------- CPU time used : 00:00:01.32 Generator state: *********************************************************** Test OQSO calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : -0.41 p-value of test : 0.66 ----------------------------- Total number of cells containing j balls j = 0 : 141787 j = 1 : 283856 j = 2 : 284164 j = 3 : 189114 j = 4 : 94374 j = 5 : 37792 ----------------------------------------------- CPU time used : 00:00:01.32 Generator state: *********************************************************** Test DNA calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 0.68 p-value of test : 0.25 ----------------------------- Total number of cells containing j balls j = 0 : 142131 j = 1 : 283175 j = 2 : 284302 j = 3 : 189246 j = 4 : 94713 j = 5 : 37573 ----------------------------------------------- CPU time used : 00:00:01.35 Generator state: *********************************************************** Test DNA calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 0.85 p-value of test : 0.20 ----------------------------- Total number of cells containing j balls j = 0 : 142189 j = 1 : 283283 j = 2 : 284146 j = 3 : 189086 j = 4 : 94534 j = 5 : 38004 ----------------------------------------------- CPU time used : 00:00:01.35 Generator state: *********************************************************** Test DNA calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 0.77 p-value of test : 0.22 ----------------------------- Total number of cells containing j balls j = 0 : 142162 j = 1 : 283599 j = 2 : 283735 j = 3 : 189215 j = 4 : 94719 j = 5 : 37623 ----------------------------------------------- CPU time used : 00:00:01.35 Generator state: *********************************************************** Test DNA calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 1.03 p-value of test : 0.15 ----------------------------- Total number of cells containing j balls j = 0 : 142250 j = 1 : 283820 j = 2 : 283124 j = 3 : 189288 j = 4 : 95028 j = 5 : 37589 ----------------------------------------------- CPU time used : 00:00:01.36 Generator state: *********************************************************** Test DNA calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : -0.61 p-value of test : 0.73 ----------------------------- Total number of cells containing j balls j = 0 : 141695 j = 1 : 283445 j = 2 : 284687 j = 3 : 189073 j = 4 : 94611 j = 5 : 37804 ----------------------------------------------- CPU time used : 00:00:01.35 Generator state: *********************************************************** Test DNA calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 7.23e-3 p-value of test : 0.50 ----------------------------- Total number of cells containing j balls j = 0 : 141904 j = 1 : 284153 j = 2 : 283398 j = 3 : 189117 j = 4 : 94787 j = 5 : 37788 ----------------------------------------------- CPU time used : 00:00:01.36 Generator state: *********************************************************** Test DNA calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : -0.16 p-value of test : 0.56 ----------------------------- Total number of cells containing j balls j = 0 : 141847 j = 1 : 283466 j = 2 : 284298 j = 3 : 189219 j = 4 : 94642 j = 5 : 37806 ----------------------------------------------- CPU time used : 00:00:01.35 Generator state: *********************************************************** Test DNA calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : -0.38 p-value of test : 0.65 ----------------------------- Total number of cells containing j balls j = 0 : 141773 j = 1 : 284216 j = 2 : 283907 j = 3 : 188770 j = 4 : 94452 j = 5 : 37967 ----------------------------------------------- CPU time used : 00:00:01.35 Generator state: *********************************************************** Test DNA calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 0.42 p-value of test : 0.34 ----------------------------- Total number of cells containing j balls j = 0 : 142043 j = 1 : 284004 j = 2 : 283514 j = 3 : 189161 j = 4 : 94502 j = 5 : 37786 ----------------------------------------------- CPU time used : 00:00:01.35 Generator state: *********************************************************** Test DNA calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : -0.38 p-value of test : 0.65 ----------------------------- Total number of cells containing j balls j = 0 : 141773 j = 1 : 284056 j = 2 : 283926 j = 3 : 188823 j = 4 : 94967 j = 5 : 37609 ----------------------------------------------- CPU time used : 00:00:01.35 Generator state: *********************************************************** Test DNA calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 1.46 p-value of test : 0.07 ----------------------------- Total number of cells containing j balls j = 0 : 142395 j = 1 : 283196 j = 2 : 283610 j = 3 : 189022 j = 4 : 95376 j = 5 : 37750 ----------------------------------------------- CPU time used : 00:00:01.36 Generator state: *********************************************************** Test DNA calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : -0.20 p-value of test : 0.58 ----------------------------- Total number of cells containing j balls j = 0 : 141835 j = 1 : 283539 j = 2 : 284341 j = 3 : 189603 j = 4 : 94124 j = 5 : 37708 ----------------------------------------------- CPU time used : 00:00:01.35 Generator state: *********************************************************** Test DNA calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : -0.74 p-value of test : 0.77 ----------------------------- Total number of cells containing j balls j = 0 : 141651 j = 1 : 284020 j = 2 : 283341 j = 3 : 189613 j = 4 : 95376 j = 5 : 37430 ----------------------------------------------- CPU time used : 00:00:01.35 Generator state: *********************************************************** Test DNA calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 1.91 p-value of test : 0.03 ----------------------------- Total number of cells containing j balls j = 0 : 142550 j = 1 : 282915 j = 2 : 284121 j = 3 : 188653 j = 4 : 95048 j = 5 : 38056 ----------------------------------------------- CPU time used : 00:00:01.35 Generator state: *********************************************************** Test DNA calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : -3.08 p-value of test : 0.9990 ----------------------------- Total number of cells containing j balls j = 0 : 140856 j = 1 : 284360 j = 2 : 284433 j = 3 : 189714 j = 4 : 94420 j = 5 : 37676 ----------------------------------------------- CPU time used : 00:00:01.35 Generator state: *********************************************************** Test DNA calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : -0.13 p-value of test : 0.55 ----------------------------- Total number of cells containing j balls j = 0 : 141857 j = 1 : 283630 j = 2 : 284020 j = 3 : 189668 j = 4 : 94115 j = 5 : 37916 ----------------------------------------------- CPU time used : 00:00:01.36 Generator state: *********************************************************** Test DNA calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 1.42 p-value of test : 0.08 ----------------------------- Total number of cells containing j balls j = 0 : 142382 j = 1 : 283786 j = 2 : 283175 j = 3 : 189157 j = 4 : 94686 j = 5 : 37801 ----------------------------------------------- CPU time used : 00:00:01.36 Generator state: *********************************************************** Test DNA calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : -1.55 p-value of test : 0.94 ----------------------------- Total number of cells containing j balls j = 0 : 141376 j = 1 : 284101 j = 2 : 284152 j = 3 : 189354 j = 4 : 94786 j = 5 : 37464 ----------------------------------------------- CPU time used : 00:00:01.35 Generator state: *********************************************************** Test DNA calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : -0.37 p-value of test : 0.64 ----------------------------- Total number of cells containing j balls j = 0 : 141777 j = 1 : 284398 j = 2 : 283416 j = 3 : 189146 j = 4 : 94420 j = 5 : 38050 ----------------------------------------------- CPU time used : 00:00:01.35 Generator state: *********************************************************** Test DNA calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : -0.73 p-value of test : 0.77 ----------------------------- Total number of cells containing j balls j = 0 : 141653 j = 1 : 283917 j = 2 : 284636 j = 3 : 188622 j = 4 : 94260 j = 5 : 38164 ----------------------------------------------- CPU time used : 00:00:01.35 Generator state: *********************************************************** Test DNA calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : -0.45 p-value of test : 0.67 ----------------------------- Total number of cells containing j balls j = 0 : 141750 j = 1 : 283760 j = 2 : 283825 j = 3 : 189691 j = 4 : 94561 j = 5 : 37699 ----------------------------------------------- CPU time used : 00:00:01.36 Generator state: *********************************************************** Test DNA calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : -0.072 p-value of test : 0.53 ----------------------------- Total number of cells containing j balls j = 0 : 141877 j = 1 : 283749 j = 2 : 284060 j = 3 : 189315 j = 4 : 94429 j = 5 : 37727 ----------------------------------------------- CPU time used : 00:00:01.35 Generator state: *********************************************************** Test DNA calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 2.27 p-value of test : 0.01 ----------------------------- Total number of cells containing j balls j = 0 : 142671 j = 1 : 283372 j = 2 : 283437 j = 3 : 188919 j = 4 : 94698 j = 5 : 37919 ----------------------------------------------- CPU time used : 00:00:01.35 Generator state: *********************************************************** Test DNA calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : -0.41 p-value of test : 0.66 ----------------------------- Total number of cells containing j balls j = 0 : 141762 j = 1 : 283370 j = 2 : 284419 j = 3 : 189594 j = 4 : 94292 j = 5 : 37906 ----------------------------------------------- CPU time used : 00:00:01.36 Generator state: *********************************************************** Test DNA calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 1.88 p-value of test : 0.03 ----------------------------- Total number of cells containing j balls j = 0 : 142539 j = 1 : 284056 j = 2 : 283105 j = 3 : 188526 j = 4 : 94512 j = 5 : 38154 ----------------------------------------------- CPU time used : 00:00:01.35 Generator state: *********************************************************** Test DNA calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : -0.62 p-value of test : 0.73 ----------------------------- Total number of cells containing j balls j = 0 : 141693 j = 1 : 284324 j = 2 : 283126 j = 3 : 189740 j = 4 : 94519 j = 5 : 37862 ----------------------------------------------- CPU time used : 00:00:01.35 Generator state: *********************************************************** Test DNA calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 0.13 p-value of test : 0.45 ----------------------------- Total number of cells containing j balls j = 0 : 141944 j = 1 : 283546 j = 2 : 284011 j = 3 : 189413 j = 4 : 94604 j = 5 : 37581 ----------------------------------------------- CPU time used : 00:00:01.35 Generator state: *********************************************************** Test DNA calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 0.35 p-value of test : 0.36 ----------------------------- Total number of cells containing j balls j = 0 : 142019 j = 1 : 283810 j = 2 : 283659 j = 3 : 189584 j = 4 : 94108 j = 5 : 37882 ----------------------------------------------- CPU time used : 00:00:01.35 Generator state: *********************************************************** Test DNA calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : -0.22 p-value of test : 0.59 ----------------------------- Total number of cells containing j balls j = 0 : 141827 j = 1 : 283749 j = 2 : 283660 j = 3 : 189546 j = 4 : 94869 j = 5 : 37714 ----------------------------------------------- CPU time used : 00:00:01.36 Generator state: *********************************************************** Test DNA calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : -0.12 p-value of test : 0.55 ----------------------------- Total number of cells containing j balls j = 0 : 141860 j = 1 : 283867 j = 2 : 284117 j = 3 : 189005 j = 4 : 94416 j = 5 : 37865 ----------------------------------------------- CPU time used : 00:00:01.35 Generator state: *********************************************************** Test DNA calling smarsa_CollisionOver *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : -1.10 p-value of test : 0.86 ----------------------------- Total number of cells containing j balls j = 0 : 141530 j = 1 : 283974 j = 2 : 283976 j = 3 : 189489 j = 4 : 94615 j = 5 : 37726 ----------------------------------------------- CPU time used : 00:00:01.35 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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) : 0.84 p-value of test : 0.45 ----------------------------------------------- CPU time used : 00:00:00.98 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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) : 0.87 p-value of test : 0.43 ----------------------------------------------- CPU time used : 00:00:00.14 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_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 : 32.94 p-value of test : 0.84 ----------------------------------------------- CPU time used : 00:00:00.98 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_discrete_time_system sknuth_Run test: ----------------------------------------------- N = 10, n = 10000, r = 0, Up = TRUE ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.072 p-value of test : 0.87 Kolmogorov-Smirnov- statistic = D- : 0.26 p-value of test : 0.23 Anderson-Darling statistic = A2 : 0.69 p-value of test : 0.56 Test on the sum of all N observations Number of degrees of freedom : 60 Chi-square statistic : 71.99 p-value of test : 0.14 ----------------------------------------------- CPU time used : 00:00:00.04 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_discrete_time_system sknuth_Run test: ----------------------------------------------- N = 10, n = 10000, r = 0, Up = FALSE ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.14 p-value of test : 0.63 Kolmogorov-Smirnov- statistic = D- : 0.21 p-value of test : 0.37 Anderson-Darling statistic = A2 : 0.63 p-value of test : 0.61 Test on the sum of all N observations Number of degrees of freedom : 60 Chi-square statistic : 58.50 p-value of test : 0.53 ----------------------------------------------- CPU time used : 00:00:00.05 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_discrete_time_system sknuth_Run test: ----------------------------------------------- N = 10, n = 10000, r = 0, Up = TRUE ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.093 p-value of test : 0.79 Kolmogorov-Smirnov- statistic = D- : 0.27 p-value of test : 0.19 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 : 60 Chi-square statistic : 69.61 p-value of test : 0.19 ----------------------------------------------- CPU time used : 00:00:00.04 Generator state: *********************************************************** HOST = Wang Qian-Xue-ThinkPad-X220, Linux anti_control_for_8D_discrete_time_system sknuth_Run test: ----------------------------------------------- N = 10, n = 10000, r = 0, Up = FALSE ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.35 p-value of test : 0.07 Kolmogorov-Smirnov- statistic = D- : 0.098 p-value of test : 0.77 Anderson-Darling statistic = A2 : 1.39 p-value of test : 0.20 Test on the sum of all N observations Number of degrees of freedom : 60 Chi-square statistic : 57.07 p-value of test : 0.58 ----------------------------------------------- CPU time used : 00:00:00.05 Generator state: ========= Summary results of pseudoDIEHARD ========= Generator: anti_control_for_8D_discrete_time_system Number of statistics: 126 Total CPU time: 00:02:06.04 All tests were passed xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx Starting FIPS_140_2 xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx ============== Summary results of FIPS-140-2 ============== Generator: anti_control_for_8D_discrete_time_system Number of bits: 20000 Test s-value p-value FIPS Decision -------------------------------------------------------- Monobit 9948 0.77 Pass Poker 16.68 0.34 Pass 0 Runs, length 1: 2523 Pass 0 Runs, length 2: 1217 Pass 0 Runs, length 3: 634 Pass 0 Runs, length 4: 312 Pass 0 Runs, length 5: 154 Pass 0 Runs, length 6+: 167 Pass 1 Runs, length 1: 2523 Pass 1 Runs, length 2: 1217 Pass 1 Runs, length 3: 658 Pass 1 Runs, length 4: 292 Pass 1 Runs, length 5: 173 Pass 1 Runs, length 6+: 145 Pass Longest run of 0: 14 0.46 Pass Longest run of 1: 11 0.91 Pass ---------------------------------------------------------- All values are within the required intervals of FIPS-140-2