xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx Starting Crush Version: TestU01 1.2.3 xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx *********************************************************** Test smarsa_SerialOver calling smultin_MultinomialOver *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 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 = 0.016773119, 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 : 0.36 ----------------------------------------------- CPU time used : 00:02:15.36 Generator state: (unimplemented) *********************************************************** Test smarsa_SerialOver calling smultin_MultinomialOver *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 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 = 0.027525118, 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 : 0.03 ----------------------------------------------- CPU time used : 00:01:27.62 Generator state: (unimplemented) *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 smultin_MultinomialOver test: ----------------------------------------------- N = 10, n = 10000000, r = 0, d = 1048576, t = 2, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1099511627776 Expected number per cell = 1 / 109951.16 EColl = n^2 / (2k) = 45.47473509 Hashing = TRUE Collision test CollisionOver: density = n / k = 1 / 109951.16 Expected number of collisions = Mu = 45.47 ----------------------------------------------- Results of CollisionOver test: POISSON approximation : Expected number of collisions = N*Mu : 454.75 Observed number of collisions : 468 p-value of test : 0.27 ----------------------------- Total number of cells containing j balls j = 0 : 10995016278228 j = 1 : 99999064 j = 2 : 468 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:01:17.58 Generator state: (unimplemented) *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 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 : 441 p-value of test : 0.73 ----------------------------- Total number of cells containing j balls j = 0 : 10995016278201 j = 1 : 99999118 j = 2 : 441 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:01:19.94 Generator state: (unimplemented) *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 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 : 438 p-value of test : 0.78 ----------------------------- Total number of cells containing j balls j = 0 : 10995016278198 j = 1 : 99999124 j = 2 : 438 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:02:08.28 Generator state: (unimplemented) *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 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 : 482 p-value of test : 0.11 ----------------------------- Total number of cells containing j balls j = 0 : 10995016278242 j = 1 : 99999036 j = 2 : 482 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:01:54.10 Generator state: (unimplemented) *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 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 : 421 p-value of test : 0.94 ----------------------------- Total number of cells containing j balls j = 0 : 10995016278181 j = 1 : 99999158 j = 2 : 421 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:01:55.18 Generator state: (unimplemented) *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 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 : 467 p-value of test : 0.29 ----------------------------- Total number of cells containing j balls j = 0 : 10995016278227 j = 1 : 99999066 j = 2 : 467 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:01:56.67 Generator state: (unimplemented) *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 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 : 507 p-value of test : 8.4e-3 ----------------------------- Total number of cells containing j balls j = 0 : 10995016278267 j = 1 : 99998986 j = 2 : 507 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:01:48.14 Generator state: (unimplemented) *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 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 : 447 p-value of test : 0.63 ----------------------------- Total number of cells containing j balls j = 0 : 10995016278207 j = 1 : 99999106 j = 2 : 447 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:01:52.50 Generator state: (unimplemented) *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 smarsa_BirthdaySpacings test: ----------------------------------------------- N = 10, n = 10000000, r = 0, d = 1073741824, t = 2, p = 1 Number of cells = d^t = 1152921504606846976 Lambda = Poisson mean = 216.8404 ---------------------------------------------------- Total expected number = N*Lambda : 2168.40 Total observed number : 2168 p-value of test : 0.50 ----------------------------------------------- CPU time used : 00:01:51.14 Generator state: (unimplemented) *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 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 : 1114 p-value of test : 0.19 ----------------------------------------------- CPU time used : 00:02:12.58 Generator state: (unimplemented) *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 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 : 563 p-value of test : 0.19 ----------------------------------------------- CPU time used : 00:02:27.32 Generator state: (unimplemented) *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 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 : 637 p-value of test : 0.69 ----------------------------------------------- CPU time used : 00:01:55.79 Generator state: (unimplemented) *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 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 : 631 p-value of test : 0.77 ----------------------------------------------- CPU time used : 00:02:06.15 Generator state: (unimplemented) *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 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 : 333 p-value of test : 0.34 ----------------------------------------------- CPU time used : 00:02:12.89 Generator state: (unimplemented) *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 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 : 336 p-value of test : 0.28 ----------------------------------------------- CPU time used : 00:02:15.30 Generator state: (unimplemented) *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 snpair_ClosePairs test: ----------------------------------------------- N = 10, n = 2000000, r = 0, t = 2, p = 0, m = 30, Torus = TRUE --------------------------------------- Test based on the 2 nearest points (NP): Stat. AD on the N values (NP) : 1.18 p-value of test : 0.27 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) : 0.27 p-value of test : 0.96 Test on the Nm values of W_{n,i}(mNP1): 1.01 p-value of test : 0.35 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) : 1.49 p-value of test : 0.18 ----------------------------------------------- CPU time used : 00:00:29.23 Generator state: (unimplemented) *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 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) : 1.10 p-value of test : 0.31 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) : 0.54 p-value of test : 0.70 Test on the Nm values of W_{n,i}(mNP1): 0.77 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 : 298 p-value of test : 0.53 Stat. AD (mNP2) : 0.75 p-value of test : 0.52 Stat. AD after spacings (mNP2-S) : 0.88 p-value of test : 0.43 ----------------------------------------------- CPU time used : 00:00:44.07 Generator state: (unimplemented) *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 snpair_ClosePairs test: ----------------------------------------------- N = 5, n = 2000000, r = 0, t = 7, p = 0, m = 30, Torus = TRUE --------------------------------------- Test based on the 2 nearest points (NP): Stat. AD on the N values (NP) : 0.47 p-value of test : 0.77 A2 test based on the spacings between the successive jump times of process Y_n(t): A2 test on the values of A2 (m-NP) : 0.53 p-value of test : 0.70 Test on the Nm values of W_{n,i}(mNP1): 1.70 p-value of test : 0.13 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 150 Number of jumps of Y : 140 p-value of test : 0.78 Stat. AD (mNP2) : 0.38 p-value of test : 0.87 Stat. AD after spacings (mNP2-S) : 0.74 p-value of test : 0.53 ----------------------------------------------- CPU time used : 00:01:13.58 Generator state: (unimplemented) *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 snpair_ClosePairsBitMatch test: ----------------------------------------------- N = 4, n = 4000000, r = 0, t = 2 ----------------------------------------------- Max of all bit distances : 21.00 p-value of test : 0.84 ----------------------------------------------- CPU time used : 00:00:29.37 Generator state: (unimplemented) *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 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 : 00:00:26.69 Generator state: (unimplemented) *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 sknuth_SimpPoker test: ----------------------------------------------- N = 1, n = 40000000, r = 0, d = 16, k = 16 ----------------------------------------------- Number of degrees of freedom : 12 Chi-square statistic : 9.94 p-value of test : 0.62 ----------------------------------------------- CPU time used : 00:01:41.86 Generator state: (unimplemented) *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 sknuth_SimpPoker test: ----------------------------------------------- N = 1, n = 40000000, r = 26, d = 16, k = 16 ----------------------------------------------- Number of degrees of freedom : 12 Chi-square statistic : 9.35 p-value of test : 0.67 ----------------------------------------------- CPU time used : 00:01:55.04 Generator state: (unimplemented) *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 sknuth_SimpPoker test: ----------------------------------------------- N = 1, n = 10000000, r = 0, d = 64, k = 64 ----------------------------------------------- Number of degrees of freedom : 23 Chi-square statistic : 17.88 p-value of test : 0.76 ----------------------------------------------- CPU time used : 00:01:41.42 Generator state: (unimplemented) *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 sknuth_SimpPoker test: ----------------------------------------------- N = 1, n = 10000000, r = 24, d = 64, k = 64 ----------------------------------------------- Number of degrees of freedom : 23 Chi-square statistic : 21.25 p-value of test : 0.57 ----------------------------------------------- CPU time used : 00:01:54.78 Generator state: (unimplemented) *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 sknuth_CouponCollector test: ----------------------------------------------- N = 1, n = 40000000, r = 0, d = 4 ----------------------------------------------- Number of degrees of freedom : 51 Chi-square statistic : 64.55 p-value of test : 0.10 ----------------------------------------------- CPU time used : 00:00:54.20 Generator state: (unimplemented) *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 sknuth_CouponCollector test: ----------------------------------------------- N = 1, n = 40000000, r = 28, d = 4 ----------------------------------------------- Number of degrees of freedom : 51 Chi-square statistic : 56.94 p-value of test : 0.26 ----------------------------------------------- CPU time used : 00:01:00.06 Generator state: (unimplemented) *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 sknuth_CouponCollector test: ----------------------------------------------- N = 1, n = 10000000, r = 0, d = 16 ----------------------------------------------- Number of degrees of freedom : 46 Chi-square statistic : 43.45 p-value of test : 0.58 ----------------------------------------------- CPU time used : 00:01:13.94 Generator state: (unimplemented) *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 sknuth_CouponCollector test: ----------------------------------------------- N = 1, n = 10000000, r = 26, d = 16 ----------------------------------------------- Number of degrees of freedom : 46 Chi-square statistic : 55.79 p-value of test : 0.15 ----------------------------------------------- CPU time used : 00:01:26.32 Generator state: (unimplemented) *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 sknuth_Gap test: ----------------------------------------------- N = 1, n = 100000000, r = 0, Alpha = 0, Beta = 0.125 ----------------------------------------------- Number of degrees of freedom : 106 Chi-square statistic : 112.19 p-value of test : 0.32 ----------------------------------------------- CPU time used : 00:01:48.89 Generator state: (unimplemented) *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 sknuth_Gap test: ----------------------------------------------- N = 1, n = 100000000, r = 27, Alpha = 0, Beta = 0.125 ----------------------------------------------- Number of degrees of freedom : 106 Chi-square statistic : 110.09 p-value of test : 0.37 ----------------------------------------------- CPU time used : 00:02:04.84 Generator state: (unimplemented) *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 sknuth_Gap test: ----------------------------------------------- N = 1, n = 5000000, r = 0, Alpha = 0, Beta = 0.00390625 ----------------------------------------------- Number of degrees of freedom : 1936 Chi-square statistic : 1920.79 p-value of test : 0.59 ----------------------------------------------- CPU time used : 00:02:50.07 Generator state: (unimplemented) *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 sknuth_Gap test: ----------------------------------------------- N = 1, n = 5000000, r = 22, Alpha = 0, Beta = 0.00390625 ----------------------------------------------- Number of degrees of freedom : 1936 Chi-square statistic : 1850.49 p-value of test : 0.92 ----------------------------------------------- CPU time used : 00:03:16.42 Generator state: (unimplemented) *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 sknuth_Run test: ----------------------------------------------- N = 1, n = 500000000, r = 0, Up = TRUE ----------------------------------------------- Number of degrees of freedom : 6 Chi-square statistic : 4.52 p-value of test : 0.61 ----------------------------------------------- CPU time used : 00:01:11.83 Generator state: (unimplemented) *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 sknuth_Run test: ----------------------------------------------- N = 1, n = 500000000, r = 15, Up = FALSE ----------------------------------------------- Number of degrees of freedom : 6 Chi-square statistic : 3.89 p-value of test : 0.69 ----------------------------------------------- CPU time used : 00:01:23.35 Generator state: (unimplemented) *********************************************************** Test sknuth_Permutation calling smultin_Multinomial *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 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 : 0.30 ----------------------------------------------- CPU time used : 00:01:29.39 Generator state: (unimplemented) *********************************************************** Test sknuth_Permutation calling smultin_Multinomial *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 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 : 0.74 ----------------------------------------------- CPU time used : 00:01:39.84 Generator state: (unimplemented) *********************************************************** Test sknuth_CollisionPermut calling smultin_Multinomial *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 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 = 8025.2246, Sigma = 89.4834 ----------------------------------------------- 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 : 39893 p-value of test : 0.88 ----------------------------- Total number of cells containing j balls j = 0 : 31085143893 j = 1 : 49920230 j = 2 : 39861 j = 3 : 16 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:02:21.60 Generator state: (unimplemented) *********************************************************** Test sknuth_CollisionPermut calling smultin_Multinomial *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 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 = 8025.2246, Sigma = 89.4834 ----------------------------------------------- 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 : 40257 p-value of test : 0.26 ----------------------------- Total number of cells containing j balls j = 0 : 31085144257 j = 1 : 49919515 j = 2 : 40199 j = 3 : 29 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:02:35.67 Generator state: (unimplemented) *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 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+ : 0.63 p-value of test : 1.1e-4 ***** Kolmogorov-Smirnov- statistic = D- : 1.45e-3 p-value of test : 0.9985 Anderson-Darling statistic = A2 : 16.11 p-value of test : 2.4e-8 ***** Test on the sum of all N observations Number of degrees of freedom : 999990 Chi-square statistic : 9.92e+5 p-value of test : 1 - 2.2e-8 ***** ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.15 p-value of test : 0.57 Kolmogorov-Smirnov- statistic = D- : 0.080 p-value of test : 0.84 Anderson-Darling statistic = A2 : 0.24 p-value of test : 0.97 ----------------------------------------------- CPU time used : 00:02:24.53 Generator state: (unimplemented) *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 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+ : 0.85 p-value of test : 8.8e-5 ***** Kolmogorov-Smirnov- statistic = D- : 7.92e-6 p-value of test : 1 - 7.9e-6 ***** Anderson-Darling statistic = A2 : 13.36 p-value of test : 4.2e-7 ***** Test on the sum of all N observations Number of degrees of freedom : 499995 Chi-square statistic : 4.95e+5 p-value of test : 1 - 2.1e-8 ***** ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.13 p-value of test : 0.80 Kolmogorov-Smirnov- statistic = D- : 0.35 p-value of test : 0.24 Anderson-Darling statistic = A2 : 1.60 p-value of test : 0.16 ----------------------------------------------- CPU time used : 00:01:47.70 Generator state: (unimplemented) *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 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 :97530.30 p-value of test : 1 - 1.3e-8 ***** ----------------------------------------------- Anderson-Darling statistic : 0.71 p-value of test : 0.29 ----------------------------------------------- CPU time used : 00:00:35.85 Generator state: (unimplemented) *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 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 :96661.80 p-value of test : 1 - 2.3e-14 ***** ----------------------------------------------- Anderson-Darling statistic : 0.22 p-value of test : 0.78 ----------------------------------------------- CPU time used : 00:00:48.28 Generator state: (unimplemented) *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 svaria_SampleProd test: ----------------------------------------------- N = 1, n = 10000000, r = 0, t = 10 ----------------------------------------------- Anderson-Darling statistic : 0.71 p-value of test : 0.29 ----------------------------------------------- CPU time used : 00:00:22.26 Generator state: (unimplemented) *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 svaria_SampleProd test: ----------------------------------------------- N = 1, n = 10000000, r = 0, t = 30 ----------------------------------------------- Anderson-Darling statistic : 0.11 p-value of test : 0.89 ----------------------------------------------- CPU time used : 00:00:54.63 Generator state: (unimplemented) *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 svaria_SampleMean test: ----------------------------------------------- N = 10000000, n = 20, r = 0 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 2.51e-4 p-value of test : 0.28 Kolmogorov-Smirnov- statistic = D- : 2.02e-4 p-value of test : 0.44 Anderson-Darling statistic = A2 : 0.47 p-value of test : 0.78 ----------------------------------------------- CPU time used : 00:00:44.42 Generator state: (unimplemented) *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 svaria_SampleCorr test: ----------------------------------------------- N = 1, n = 500000000, r = 0, k = 1 ----------------------------------------------- Normal statistic : -0.68 p-value of test : 0.75 ----------------------------------------------- CPU time used : 00:01:08.31 Generator state: (unimplemented) *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 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 : 0.094 p-value of test : 0.46 ----------------------------------------------- CPU time used : 00:01:07.25 Generator state: (unimplemented) *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 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 : -0.029 p-value of test : 0.51 ----------------------------------------------- CPU time used : 00:00:37.67 Generator state: (unimplemented) *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 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 : 61.89 p-value of test : 0.06 ----------------------------------------------- CPU time used : 00:01:07.65 Generator state: (unimplemented) *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 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 : 48.84 p-value of test : 0.36 ----------------------------------------------- CPU time used : 00:01:18.49 Generator state: (unimplemented) *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 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 : 45.18 p-value of test : 0.51 ----------------------------------------------- CPU time used : 00:01:18.57 Generator state: (unimplemented) *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 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 : 53.96 p-value of test : 0.20 ----------------------------------------------- CPU time used : 00:01:16.92 Generator state: (unimplemented) *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 svaria_SumCollector test: ----------------------------------------------- N = 1, n = 20000000, r = 0, g = 10 ----------------------------------------------- Number of degrees of freedom : 25 Chi-square statistic : 23.06 p-value of test : 0.57 ----------------------------------------------- CPU time used : 00:00:55.46 Generator state: (unimplemented) *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 1000000, r = 0, s = 30, L = 60, k = 60 ----------------------------------------------- Number of degrees of freedom : 4 Chi-square statistic : 1.97 p-value of test : 0.74 ----------------------------------------------- CPU time used : 00:01:13.25 Generator state: (unimplemented) *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 1000000, r = 20, s = 10, L = 60, k = 60 ----------------------------------------------- Number of degrees of freedom : 4 Chi-square statistic : 10.75 p-value of test : 0.03 ----------------------------------------------- CPU time used : 00:01:42.32 Generator state: (unimplemented) *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 50000, r = 0, s = 30, L = 300, k = 300 ----------------------------------------------- Number of degrees of freedom : 3 Chi-square statistic : 0.38 p-value of test : 0.94 ----------------------------------------------- CPU time used : 00:01:44.65 Generator state: (unimplemented) *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 50000, r = 20, s = 10, L = 300, k = 300 ----------------------------------------------- Number of degrees of freedom : 3 Chi-square statistic : 1.61 p-value of test : 0.66 ----------------------------------------------- CPU time used : 00:02:31.07 Generator state: (unimplemented) *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 2000, r = 0, s = 30, L = 1200, k = 1200 ----------------------------------------------- Number of degrees of freedom : 3 Chi-square statistic : 4.81 p-value of test : 0.19 ----------------------------------------------- CPU time used : 00:01:56.32 Generator state: (unimplemented) *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 2000, r = 20, s = 10, L = 1200, k = 1200 ----------------------------------------------- Number of degrees of freedom : 3 Chi-square statistic : 4.75 p-value of test : 0.19 ----------------------------------------------- CPU time used : 00:02:35.84 Generator state: (unimplemented) *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 smarsa_Savir2 test: ----------------------------------------------- N = 1, n = 20000000, r = 0, m = 1048576, t = 30 ----------------------------------------------- Number of degrees of freedom : 17 Chi-square statistic : 20.42 p-value of test : 0.25 ----------------------------------------------- CPU time used : 00:01:28.32 Generator state: (unimplemented) *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 smarsa_GCD test: ----------------------------------------------- N = 1, n = 100000000, r = 0, s = 30 ----------------------------------------------- Number of degrees of freedom : 2465 Chi2 statistic for GCD values : 2363.08 p-value of test : 0.93 ----------------------------------------------- CPU time used : 00:00:50.40 Generator state: (unimplemented) *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 smarsa_GCD test: ----------------------------------------------- N = 1, n = 40000000, r = 10, s = 20 ----------------------------------------------- Number of degrees of freedom : 1559 Chi2 statistic for GCD values : 1460.41 p-value of test : 0.96 ----------------------------------------------- CPU time used : 00:00:16.60 Generator state: (unimplemented) *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 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 : 44.35 p-value of test : 0.54 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 47 ChiSquare statistic : 51.77 p-value of test : 0.29 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 45 ChiSquare statistic : 43.25 p-value of test : 0.55 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 36 ChiSquare statistic : 28.09 p-value of test : 0.82 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 23 ChiSquare statistic : 30.92 p-value of test : 0.12 ----------------------------------------------- CPU time used : 00:01:45.86 Generator state: (unimplemented) *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 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 : 51.27 p-value of test : 0.21 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 45 ChiSquare statistic : 34.54 p-value of test : 0.87 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 45 ChiSquare statistic : 35.59 p-value of test : 0.84 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 35 ChiSquare statistic : 27.96 p-value of test : 0.80 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 22 ChiSquare statistic : 25.17 p-value of test : 0.29 ----------------------------------------------- CPU time used : 00:00:29.71 Generator state: (unimplemented) *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 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 : 104.31 p-value of test : 0.99 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 141 ChiSquare statistic : 144.08 p-value of test : 0.41 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 ChiSquare statistic : 470.68 p-value of test : 0.82 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 132 ChiSquare statistic : 146.16 p-value of test : 0.19 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 72 ChiSquare statistic : 60.49 p-value of test : 0.83 ----------------------------------------------- CPU time used : 00:01:48.67 Generator state: (unimplemented) *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 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 : 103.05 p-value of test : 0.95 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 130 ChiSquare statistic : 111.98 p-value of test : 0.87 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 ChiSquare statistic : 478.99 p-value of test : 0.74 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 122 ChiSquare statistic : 127.80 p-value of test : 0.34 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 66 ChiSquare statistic : 71.69 p-value of test : 0.29 ----------------------------------------------- CPU time used : 00:00:31.05 Generator state: (unimplemented) *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 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 : 395.65 p-value of test : 0.14 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 366 ChiSquare statistic : 357.47 p-value of test : 0.62 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 ChiSquare statistic : 4936.53 p-value of test : 0.74 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 360 ChiSquare statistic : 294.99 p-value of test : 0.9948 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 192 ChiSquare statistic : 206.32 p-value of test : 0.23 ----------------------------------------------- CPU time used : 00:01:46.02 Generator state: (unimplemented) *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 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 : 348.96 p-value of test : 0.11 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 318 ChiSquare statistic : 326.27 p-value of test : 0.36 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 ChiSquare statistic : 4856.78 p-value of test : 0.92 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 315 ChiSquare statistic : 327.22 p-value of test : 0.31 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 169 ChiSquare statistic : 168.31 p-value of test : 0.50 ----------------------------------------------- CPU time used : 00:00:30.01 Generator state: (unimplemented) *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 scomp_LinearComp test: ----------------------------------------------- N = 1, n = 120000, r = 0, s = 1 ----------------------------------------------- Number of degrees of freedom : 10 Chi2 statistic for size of jumps : 9.28 p-value of test : 0.51 ----------------------------------------------- Normal statistic for number of jumps : -0.53 p-value of test : 0.70 ----------------------------------------------- CPU time used : 00:00:27.71 Generator state: (unimplemented) *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 scomp_LinearComp test: ----------------------------------------------- N = 1, n = 120000, r = 29, s = 1 ----------------------------------------------- Number of degrees of freedom : 10 Chi2 statistic for size of jumps : 2.26 p-value of test : 0.9939 ----------------------------------------------- Normal statistic for number of jumps : 0.76 p-value of test : 0.22 ----------------------------------------------- CPU time used : 00:00:26.37 Generator state: (unimplemented) *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 scomp_LempelZiv test: ----------------------------------------------- N = 10, n = 33554432, r = 0, s = 30, k = 25 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.23 p-value of test : 0.30 Kolmogorov-Smirnov- statistic = D- : 0.24 p-value of test : 0.28 Anderson-Darling statistic = A2 : 1.04 p-value of test : 0.34 Tests on the sum of all N observations Standardized normal statistic : 0.27 p-value of test : 0.39 Sample variance : 1.71 p-value of test : 0.08 ----------------------------------------------- CPU time used : 00:00:26.05 Generator state: (unimplemented) *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 sspectral_Fourier3 test: ----------------------------------------------- N = 50000, n = 16384, r = 0, s = 30, k = 14 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 8.20e-3 p-value of test : 0.57 Kolmogorov-Smirnov- statistic = D- : 4.20e-3 p-value of test : 0.86 Anderson-Darling statistic = A2 : 0.34 p-value of test : 0.91 ----------------------------------------------- CPU time used : 00:01:00.25 Generator state: (unimplemented) *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 sspectral_Fourier3 test: ----------------------------------------------- N = 50000, n = 16384, r = 20, s = 10, k = 14 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 7.92e-3 p-value of test : 0.59 Kolmogorov-Smirnov- statistic = D- : 7.69e-3 p-value of test : 0.61 Anderson-Darling statistic = A2 : 0.46 p-value of test : 0.79 ----------------------------------------------- CPU time used : 00:01:07.15 Generator state: (unimplemented) *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 sstring_LongestHeadRun test: ----------------------------------------------- N = 1, n = 1000, r = 0, s = 30, L = 10000020 ----------------------------------------------- Number of degrees of freedom : 8 Chi-square statistic : 2.97 p-value of test : 0.94 ----------------------------------------------- Global longest run of 1 : 34.00 p-value of test : 0.25 ----------------------------------------------- CPU time used : 00:02:01.60 Generator state: (unimplemented) *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 sstring_LongestHeadRun test: ----------------------------------------------- N = 1, n = 300, r = 20, s = 10, L = 10000020 ----------------------------------------------- Number of degrees of freedom : 7 Chi-square statistic : 7.12 p-value of test : 0.42 ----------------------------------------------- Global longest run of 1 : 30.00 p-value of test : 0.50 ----------------------------------------------- CPU time used : 00:01:03.39 Generator state: (unimplemented) *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 sstring_PeriodsInStrings test: ----------------------------------------------- N = 1, n = 300000000, r = 0, s = 30 ----------------------------------------------- Number of degrees of freedom : 302 Chi-square statistic : 288.92 p-value of test : 0.70 ----------------------------------------------- CPU time used : 00:01:06.37 Generator state: (unimplemented) *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 sstring_PeriodsInStrings test: ----------------------------------------------- N = 1, n = 300000000, r = 15, s = 15 ----------------------------------------------- Number of degrees of freedom : 56 Chi-square statistic : 55.35 p-value of test : 0.50 ----------------------------------------------- CPU time used : 00:00:57.77 Generator state: (unimplemented) *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 sstring_HammingWeight2 test: ----------------------------------------------- N = 100, n = 100000000, r = 0, s = 30, L = 1000000 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.025 p-value of test : 0.87 Kolmogorov-Smirnov- statistic = D- : 0.11 p-value of test : 0.09 Anderson-Darling statistic = A2 : 1.52 p-value of test : 0.17 Test on the sum of all N observations Number of degrees of freedom : 10000 Chi-square statistic :10169.39 p-value of test : 0.12 ----------------------------------------------- CPU time used : 00:00:52.38 Generator state: (unimplemented) *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 sstring_HammingWeight2 test: ----------------------------------------------- N = 30, n = 100000000, r = 20, s = 10, L = 1000000 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.12 p-value of test : 0.39 Kolmogorov-Smirnov- statistic = D- : 0.082 p-value of test : 0.63 Anderson-Darling statistic = A2 : 0.38 p-value of test : 0.87 Test on the sum of all N observations Number of degrees of freedom : 3000 Chi-square statistic : 2976.23 p-value of test : 0.62 ----------------------------------------------- CPU time used : 00:00:42.50 Generator state: (unimplemented) *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 500000000, r = 0, s = 30, L = 30 ----------------------------------------------- Normal statistic : 1.30 p-value of test : 0.10 ----------------------------------------------- CPU time used : 00:01:19.64 Generator state: (unimplemented) *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 50000000, r = 0, s = 30, L = 300 ----------------------------------------------- Normal statistic : -1.06 p-value of test : 0.86 ----------------------------------------------- CPU time used : 00:01:20.21 Generator state: (unimplemented) *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 10000000, r = 0, s = 30, L = 1200 ----------------------------------------------- Normal statistic : 1.68 p-value of test : 0.05 ----------------------------------------------- CPU time used : 00:01:04.59 Generator state: (unimplemented) *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 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 : 524.14 p-value of test : 0.94 ----------------------------------------------- CPU time used : 00:01:41.59 Generator state: (unimplemented) *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 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 : 540.43 p-value of test : 0.40 ----------------------------------------------- CPU time used : 00:01:29.91 Generator state: (unimplemented) *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 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 : 3903.83 p-value of test : 0.9914 ----------------------------------------------- CPU time used : 00:01:35.03 Generator state: (unimplemented) *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 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 : 3651.54 p-value of test : 0.22 ----------------------------------------------- CPU time used : 00:01:24.55 Generator state: (unimplemented) *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 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 :11828.70 p-value of test : 0.49 ----------------------------------------------- CPU time used : 00:02:07.12 Generator state: (unimplemented) *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 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 : 7608.68 p-value of test : 0.13 ----------------------------------------------- CPU time used : 00:00:32.85 Generator state: (unimplemented) *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 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 : 62.42 p-value of test : 0.15 ----------------------------------------------- Total number of bits: 3999888900 Normal statistic for number of bits : -1.24 p-value of test : 0.89 ----------------------------------------------- CPU time used : 00:01:05.83 Generator state: (unimplemented) *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 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 : 50.82 p-value of test : 0.52 ----------------------------------------------- Total number of bits: 4000076200 Normal statistic for number of bits : 0.85 p-value of test : 0.20 ----------------------------------------------- CPU time used : 00:01:44.53 Generator state: (unimplemented) *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 sstring_AutoCor test: ----------------------------------------------- N = 10, n = 1000000021, r = 0, s = 30, d = 1 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.26 p-value of test : 0.21 Kolmogorov-Smirnov- statistic = D- : 0.13 p-value of test : 0.67 Anderson-Darling statistic = A2 : 0.96 p-value of test : 0.37 Tests on the sum of all N observations Standardized normal statistic : -0.44 p-value of test : 0.67 Sample variance : 1.00 p-value of test : 0.44 ----------------------------------------------- CPU time used : 00:01:04.12 Generator state: (unimplemented) *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 sstring_AutoCor test: ----------------------------------------------- N = 5, n = 1000000001, r = 20, s = 10, d = 1 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.29 p-value of test : 0.38 Kolmogorov-Smirnov- statistic = D- : 0.11 p-value of test : 0.82 Anderson-Darling statistic = A2 : 0.42 p-value of test : 0.82 Tests on the sum of all N observations Standardized normal statistic : -0.46 p-value of test : 0.68 Sample variance : 1.45 p-value of test : 0.21 ----------------------------------------------- CPU time used : 00:01:24.19 Generator state: (unimplemented) *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 sstring_AutoCor test: ----------------------------------------------- N = 10, n = 1000000020, r = 0, s = 30, d = 30 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.041 p-value of test : 0.94 Kolmogorov-Smirnov- statistic = D- : 0.22 p-value of test : 0.33 Anderson-Darling statistic = A2 : 0.76 p-value of test : 0.51 Tests on the sum of all N observations Standardized normal statistic : 1.09 p-value of test : 0.14 Sample variance : 0.78 p-value of test : 0.63 ----------------------------------------------- CPU time used : 00:01:01.06 Generator state: (unimplemented) *********************************************************** HOST = Ubuntu-VirtualBox, Linux ursu_CreateRSU: seedBase = 0, seedOffset = 0 sstring_AutoCor test: ----------------------------------------------- N = 5, n = 1000000010, r = 20, s = 10, d = 10 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.21 p-value of test : 0.56 Kolmogorov-Smirnov- statistic = D- : 0.37 p-value of test : 0.19 Anderson-Darling statistic = A2 : 0.71 p-value of test : 0.54 Tests on the sum of all N observations Standardized normal statistic : 0.43 p-value of test : 0.33 Sample variance : 0.31 p-value of test : 0.87 ----------------------------------------------- CPU time used : 00:01:17.50 Generator state: (unimplemented) ========= Summary results of Crush ========= Version: TestU01 1.2.3 Generator: ursu_CreateRSU Number of statistics: 144 Total CPU time: 02:16:55.24 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 ---------------------------------------------- 41 MaxOft, t = 5 1 - 2.2e-8 42 MaxOft, t = 10 1 - 2.1e-8 43 MaxOft, t = 20 1 - 1.3e-8 44 MaxOft, t = 30 1 - 2.3e-14 ---------------------------------------------- All other tests were passed