xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx Starting Crush Version: TestU01 1.2.3 xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx *********************************************************** Test smarsa_SerialOver calling smultin_MultinomialOver *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin 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 : 0.76 ----------------------------------------------- CPU time used : 00:01:53.12 Generator state: 16000000000 bits have been read. *********************************************************** Test smarsa_SerialOver calling smultin_MultinomialOver *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin 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 : 0.71 ----------------------------------------------- CPU time used : 00:01:10.94 Generator state: 25600000000 bits have been read. *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin 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 : 454 p-value of test : 0.50 ----------------------------- Total number of cells containing j balls j = 0 : 10995016278214 j = 1 : 99999092 j = 2 : 454 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:01:19.30 Generator state: 28800000000 bits have been read. *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin 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 : 437 p-value of test : 0.79 ----------------------------- Total number of cells containing j balls j = 0 : 10995016278197 j = 1 : 99999126 j = 2 : 437 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:01:17.81 Generator state: 32000000000 bits have been read. *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin 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 : 451 p-value of test : 0.56 ----------------------------- Total number of cells containing j balls j = 0 : 10995016278211 j = 1 : 99999098 j = 2 : 451 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:01:42.18 Generator state: 35200000000 bits have been read. *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin 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 : 456 p-value of test : 0.48 ----------------------------- Total number of cells containing j balls j = 0 : 10995016278216 j = 1 : 99999088 j = 2 : 456 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:01:42.96 Generator state: 38400000000 bits have been read. *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin 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 : 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 : 00:01:42.21 Generator state: 41600000000 bits have been read. *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin 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 : 483 p-value of test : 0.10 ----------------------------- Total number of cells containing j balls j = 0 : 10995016278243 j = 1 : 99999034 j = 2 : 483 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:01:42.79 Generator state: 44800000000 bits have been read. *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin 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 : 426 p-value of test : 0.91 ----------------------------- Total number of cells containing j balls j = 0 : 10995016278186 j = 1 : 99999148 j = 2 : 426 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:01:42.11 Generator state: 48000000000 bits have been read. *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin 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 : 437 p-value of test : 0.79 ----------------------------- Total number of cells containing j balls j = 0 : 10995016278197 j = 1 : 99999126 j = 2 : 437 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:01:41.84 Generator state: 51200000000 bits have been read. *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin 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 : 2113 p-value of test : 0.88 ----------------------------------------------- CPU time used : 00:01:14.94 Generator state: 57600000000 bits have been read. *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin 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 : 1062 p-value of test : 0.74 ----------------------------------------------- CPU time used : 00:01:18.68 Generator state: 67200000000 bits have been read. *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin 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 : 529 p-value of test : 0.70 ----------------------------------------------- CPU time used : 00:01:21.90 Generator state: 80000000000 bits have been read. *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin 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 : 657 p-value of test : 0.40 ----------------------------------------------- CPU time used : 00:00:53.66 Generator state: 93440000000 bits have been read. *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin 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 : 699 p-value of test : 0.03 ----------------------------------------------- CPU time used : 00:00:54.13 Generator state: 106880000000 bits have been read. *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin 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 : 327 p-value of test : 0.47 ----------------------------------------------- CPU time used : 00:00:56.09 Generator state: 122240000000 bits have been read. *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin 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 : 326 p-value of test : 0.49 ----------------------------------------------- CPU time used : 00:00:55.68 Generator state: 137600000000 bits have been read. *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin 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) : 0.49 p-value of test : 0.75 A2 test based on the spacings between the successive jump times of process Y_n(t): A2 test on the values of A2 (m-NP) : 0.38 p-value of test : 0.86 Test on the Nm values of W_{n,i}(mNP1): 0.41 p-value of test : 0.84 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 300 Number of jumps of Y : 295 p-value of test : 0.60 Stat. AD (mNP2) : 0.88 p-value of test : 0.43 ----------------------------------------------- CPU time used : 00:00:26.35 Generator state: 138880000000 bits have been read. *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin 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) : 0.27 p-value of test : 0.96 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) : 0.75 p-value of test : 0.52 Test on the Nm values of W_{n,i}(mNP1): 0.41 p-value of test : 0.84 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 300 Number of jumps of Y : 295 p-value of test : 0.60 Stat. AD (mNP2) : 0.44 p-value of test : 0.81 Stat. AD after spacings (mNP2-S) : 0.73 p-value of test : 0.54 ----------------------------------------------- CPU time used : 00:00:38.16 Generator state: 140800000000 bits have been read. *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin 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) : 1.21 p-value of test : 0.26 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) : 0.46 p-value of test : 0.78 Test on the Nm values of W_{n,i}(mNP1): 0.33 p-value of test : 0.92 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 150 Number of jumps of Y : 155 p-value of test : 0.35 Stat. AD (mNP2) : 1.52 p-value of test : 0.17 Stat. AD after spacings (mNP2-S) : 2.50 p-value of test : 0.05 ----------------------------------------------- CPU time used : 00:01:10.81 Generator state: 143040000000 bits have been read. *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin 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 : 00:00:26.76 Generator state: 144064000000 bits have been read. *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin 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 : 00:00:24.68 Generator state: 145088000000 bits have been read. *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin sknuth_SimpPoker test: ----------------------------------------------- N = 1, n = 40000000, r = 0, d = 16, k = 16 ----------------------------------------------- Number of degrees of freedom : 12 Chi-square statistic : 3.32 p-value of test : 0.9928 ----------------------------------------------- CPU time used : 00:00:31.18 Generator state: 165568000000 bits have been read. *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin sknuth_SimpPoker test: ----------------------------------------------- N = 1, n = 40000000, r = 26, d = 16, k = 16 ----------------------------------------------- Number of degrees of freedom : 12 Chi-square statistic : 8.30 p-value of test : 0.76 ----------------------------------------------- CPU time used : 00:00:38.10 Generator state: 186048000000 bits have been read. *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin sknuth_SimpPoker test: ----------------------------------------------- N = 1, n = 10000000, r = 0, d = 64, k = 64 ----------------------------------------------- Number of degrees of freedom : 23 Chi-square statistic : 20.62 p-value of test : 0.60 ----------------------------------------------- CPU time used : 00:00:31.38 Generator state: 206528000000 bits have been read. *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin sknuth_SimpPoker test: ----------------------------------------------- N = 1, n = 10000000, r = 24, d = 64, k = 64 ----------------------------------------------- Number of degrees of freedom : 23 Chi-square statistic : 15.63 p-value of test : 0.87 ----------------------------------------------- CPU time used : 00:00:37.68 Generator state: 227008000000 bits have been read. *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin sknuth_CouponCollector test: ----------------------------------------------- N = 1, n = 40000000, r = 0, d = 4 ----------------------------------------------- Number of degrees of freedom : 51 Chi-square statistic : 58.00 p-value of test : 0.23 ----------------------------------------------- CPU time used : 00:00:16.90 Generator state: 237674471456 bits have been read. *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin sknuth_CouponCollector test: ----------------------------------------------- N = 1, n = 40000000, r = 28, d = 4 ----------------------------------------------- Number of degrees of freedom : 51 Chi-square statistic : 42.76 p-value of test : 0.79 ----------------------------------------------- CPU time used : 00:00:18.94 Generator state: 248341076064 bits have been read. *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin sknuth_CouponCollector test: ----------------------------------------------- N = 1, n = 10000000, r = 0, d = 16 ----------------------------------------------- Number of degrees of freedom : 46 Chi-square statistic : 51.04 p-value of test : 0.28 ----------------------------------------------- CPU time used : 00:00:22.08 Generator state: 264137558784 bits have been read. *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin sknuth_CouponCollector test: ----------------------------------------------- N = 1, n = 10000000, r = 26, d = 16 ----------------------------------------------- Number of degrees of freedom : 46 Chi-square statistic : 74.03 p-value of test : 5.5e-3 ----------------------------------------------- CPU time used : 00:00:25.07 Generator state: 279936250592 bits have been read. *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin sknuth_Gap test: ----------------------------------------------- N = 1, n = 100000000, r = 0, Alpha = 0, Beta = 0.125 ----------------------------------------------- Number of degrees of freedom : 106 Chi-square statistic : 99.64 p-value of test : 0.66 ----------------------------------------------- CPU time used : 00:00:25.06 Generator state: 305534031200 bits have been read. *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin sknuth_Gap test: ----------------------------------------------- N = 1, n = 100000000, r = 27, Alpha = 0, Beta = 0.125 ----------------------------------------------- Number of degrees of freedom : 106 Chi-square statistic : 106.49 p-value of test : 0.47 ----------------------------------------------- CPU time used : 00:00:27.55 Generator state: 331129983168 bits have been read. *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin sknuth_Gap test: ----------------------------------------------- N = 1, n = 5000000, r = 0, Alpha = 0, Beta = 0.00390625 ----------------------------------------------- Number of degrees of freedom : 1936 Chi-square statistic : 1926.74 p-value of test : 0.55 ----------------------------------------------- CPU time used : 00:00:36.66 Generator state: 372090503712 bits have been read. *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin sknuth_Gap test: ----------------------------------------------- N = 1, n = 5000000, r = 22, Alpha = 0, Beta = 0.00390625 ----------------------------------------------- Number of degrees of freedom : 1936 Chi-square statistic : 1940.89 p-value of test : 0.46 ----------------------------------------------- CPU time used : 00:00:37.88 Generator state: 413032244960 bits have been read. *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin sknuth_Run test: ----------------------------------------------- N = 1, n = 500000000, r = 0, Up = TRUE ----------------------------------------------- Number of degrees of freedom : 6 Chi-square statistic : 4.95 p-value of test : 0.55 ----------------------------------------------- CPU time used : 00:00:19.58 Generator state: 429032244960 bits have been read. *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin sknuth_Run test: ----------------------------------------------- N = 1, n = 500000000, r = 15, Up = FALSE ----------------------------------------------- Number of degrees of freedom : 6 Chi-square statistic : 3.44 p-value of test : 0.75 ----------------------------------------------- CPU time used : 00:00:23.01 Generator state: 445032244960 bits have been read. *********************************************************** Test sknuth_Permutation calling smultin_Multinomial *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin 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 : 0.04 ----------------------------------------------- CPU time used : 00:00:50.75 Generator state: 461032244960 bits have been read. *********************************************************** Test sknuth_Permutation calling smultin_Multinomial *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin 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 : 0.34 ----------------------------------------------- CPU time used : 00:00:54.96 Generator state: 477032244960 bits have been read. *********************************************************** Test sknuth_CollisionPermut calling smultin_Multinomial *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin 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 : 40021 p-value of test : 0.70 ----------------------------- Total number of cells containing j balls j = 0 : 31085144021 j = 1 : 49919984 j = 2 : 39969 j = 3 : 26 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:01:31.44 Generator state: 497832244960 bits have been read. *********************************************************** Test sknuth_CollisionPermut calling smultin_Multinomial *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin 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 : 40154 p-value of test : 0.45 ----------------------------- Total number of cells containing j balls j = 0 : 31085144154 j = 1 : 49919712 j = 2 : 40114 j = 3 : 20 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:01:32.80 Generator state: 518632244960 bits have been read. *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin 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+ : 0.12 p-value of test : 0.71 Kolmogorov-Smirnov- statistic = D- : 0.12 p-value of test : 0.70 Anderson-Darling statistic = A2 : 0.23 p-value of test : 0.98 Test on the sum of all N observations Number of degrees of freedom : 999990 Chi-square statistic : 1.00e+6 p-value of test : 0.60 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.092 p-value of test : 0.80 Kolmogorov-Smirnov- statistic = D- : 0.30 p-value of test : 0.13 Anderson-Darling statistic = A2 : 1.06 p-value of test : 0.32 ----------------------------------------------- CPU time used : 00:02:01.11 Generator state: 534632244960 bits have been read. *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin sknuth_MaxOft test: ----------------------------------------------- N = 5, n = 10000000, r = 0, d = 100000, t = 10 Number of categories = 100000 Expected number per category = 100.00 ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: Kolmogorov-Smirnov+ statistic = D+ : 0.34 p-value of test : 0.26 Kolmogorov-Smirnov- statistic = D- : 0.24 p-value of test : 0.50 Anderson-Darling statistic = A2 : 0.53 p-value of test : 0.71 Test on the sum of all N observations Number of degrees of freedom : 499995 Chi-square statistic : 5.00e+5 p-value of test : 0.55 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.32 p-value of test : 0.31 Kolmogorov-Smirnov- statistic = D- : 0.22 p-value of test : 0.54 Anderson-Darling statistic = A2 : 0.84 p-value of test : 0.45 ----------------------------------------------- CPU time used : 00:01:10.19 Generator state: 550632244960 bits have been read. *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin 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 : 1.01e+5 p-value of test : 1.8e-3 ----------------------------------------------- Anderson-Darling statistic : 0.92 p-value of test : 0.08 ----------------------------------------------- CPU time used : 00:00:16.78 Generator state: 557032244960 bits have been read. *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin 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 : 1.00e+5 p-value of test : 0.36 ----------------------------------------------- Anderson-Darling statistic : 0.36 p-value of test : 0.64 ----------------------------------------------- CPU time used : 00:00:19.53 Generator state: 566632244960 bits have been read. *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin svaria_SampleProd test: ----------------------------------------------- N = 1, n = 10000000, r = 0, t = 10 ----------------------------------------------- Anderson-Darling statistic : 0.77 p-value of test : 0.23 ----------------------------------------------- CPU time used : 00:00:10.65 Generator state: 569832244960 bits have been read. *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin svaria_SampleProd test: ----------------------------------------------- N = 1, n = 10000000, r = 0, t = 30 ----------------------------------------------- Anderson-Darling statistic : 0.22 p-value of test : 0.78 ----------------------------------------------- CPU time used : 00:00:19.92 Generator state: 579432244960 bits have been read. *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin svaria_SampleMean test: ----------------------------------------------- N = 10000000, n = 20, r = 0 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 3.47e-4 p-value of test : 0.09 Kolmogorov-Smirnov- statistic = D- : 2.41e-4 p-value of test : 0.31 Anderson-Darling statistic = A2 : 2.69 p-value of test : 0.04 ----------------------------------------------- CPU time used : 00:00:31.17 Generator state: 585832244960 bits have been read. *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin svaria_SampleCorr test: ----------------------------------------------- N = 1, n = 500000000, r = 0, k = 1 ----------------------------------------------- Normal statistic : 0.61 p-value of test : 0.27 ----------------------------------------------- CPU time used : 00:00:15.01 Generator state: 601832244960 bits have been read. *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin 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 : -0.62 p-value of test : 0.73 ----------------------------------------------- CPU time used : 00:01:06.76 Generator state: 608392244960 bits have been read. *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin 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 : -0.92 p-value of test : 0.82 ----------------------------------------------- CPU time used : 00:00:17.94 Generator state: 615432244960 bits have been read. *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin 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 : 69.60 p-value of test : 0.01 ----------------------------------------------- CPU time used : 00:00:13.55 Generator state: 631816244960 bits have been read. *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin 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 : 30.62 p-value of test : 0.96 ----------------------------------------------- CPU time used : 00:00:15.73 Generator state: 648200244960 bits have been read. *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin 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 : 62.41 p-value of test : 0.05 ----------------------------------------------- CPU time used : 00:00:15.78 Generator state: 664584244960 bits have been read. *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin 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 : 39.46 p-value of test : 0.74 ----------------------------------------------- CPU time used : 00:00:15.34 Generator state: 680968244960 bits have been read. *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin svaria_SumCollector test: ----------------------------------------------- N = 1, n = 20000000, r = 0, g = 10 ----------------------------------------------- Number of degrees of freedom : 25 Chi-square statistic : 22.47 p-value of test : 0.61 ----------------------------------------------- CPU time used : 00:00:12.03 Generator state: 694194672000 bits have been read. *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 1000000, r = 0, s = 30, L = 60, k = 60 ----------------------------------------------- Number of degrees of freedom : 4 Chi-square statistic : 2.80 p-value of test : 0.59 ----------------------------------------------- CPU time used : 00:01:03.61 Generator state: 698034672000 bits have been read. *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 1000000, r = 20, s = 10, L = 60, k = 60 ----------------------------------------------- Number of degrees of freedom : 4 Chi-square statistic : 0.92 p-value of test : 0.92 ----------------------------------------------- CPU time used : 00:01:08.32 Generator state: 709554672000 bits have been read. *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 50000, r = 0, s = 30, L = 300, k = 300 ----------------------------------------------- Number of degrees of freedom : 3 Chi-square statistic : 0.63 p-value of test : 0.89 ----------------------------------------------- CPU time used : 00:01:46.59 Generator state: 714354672000 bits have been read. *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 50000, r = 20, s = 10, L = 300, k = 300 ----------------------------------------------- Number of degrees of freedom : 3 Chi-square statistic : 2.11 p-value of test : 0.55 ----------------------------------------------- CPU time used : 00:02:04.88 Generator state: 728754672000 bits have been read. *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 2000, r = 0, s = 30, L = 1200, k = 1200 ----------------------------------------------- Number of degrees of freedom : 3 Chi-square statistic : 6.35 p-value of test : 0.10 ----------------------------------------------- CPU time used : 00:02:22.80 Generator state: 731826672000 bits have been read. *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 2000, r = 20, s = 10, L = 1200, k = 1200 ----------------------------------------------- Number of degrees of freedom : 3 Chi-square statistic : 3.36 p-value of test : 0.34 ----------------------------------------------- CPU time used : 00:02:53.32 Generator state: 741042672000 bits have been read. *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin smarsa_Savir2 test: ----------------------------------------------- N = 1, n = 20000000, r = 0, m = 1048576, t = 30 ----------------------------------------------- Number of degrees of freedom : 17 Chi-square statistic : 19.25 p-value of test : 0.31 ----------------------------------------------- CPU time used : 00:00:16.50 Generator state: 760242672000 bits have been read. *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin smarsa_GCD test: ----------------------------------------------- N = 1, n = 100000000, r = 0, s = 30 ----------------------------------------------- Number of degrees of freedom : 2465 Chi2 statistic for GCD values : 2437.50 p-value of test : 0.65 ----------------------------------------------- CPU time used : 00:00:56.42 Generator state: 766642672000 bits have been read. *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin smarsa_GCD test: ----------------------------------------------- N = 1, n = 40000000, r = 10, s = 20 ----------------------------------------------- Number of degrees of freedom : 1559 Chi2 statistic for GCD values : 1619.78 p-value of test : 0.14 ----------------------------------------------- CPU time used : 00:00:16.15 Generator state: 769202676736 bits have been read. *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin 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 : 40.10 p-value of test : 0.72 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 47 ChiSquare statistic : 37.14 p-value of test : 0.85 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 45 ChiSquare statistic : 53.66 p-value of test : 0.18 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 36 ChiSquare statistic : 29.20 p-value of test : 0.78 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 23 ChiSquare statistic : 22.33 p-value of test : 0.50 ----------------------------------------------- CPU time used : 00:01:56.63 Generator state: 774002676736 bits have been read. *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin 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 : 41.24 p-value of test : 0.59 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 45 ChiSquare statistic : 51.98 p-value of test : 0.22 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 45 ChiSquare statistic : 52.87 p-value of test : 0.20 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 35 ChiSquare statistic : 33.56 p-value of test : 0.54 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 22 ChiSquare statistic : 16.53 p-value of test : 0.79 ----------------------------------------------- CPU time used : 00:00:26.26 Generator state: 776882676736 bits have been read. *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin 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 : 136.55 p-value of test : 0.57 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 141 ChiSquare statistic : 154.71 p-value of test : 0.20 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 ChiSquare statistic : 526.64 p-value of test : 0.20 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 132 ChiSquare statistic : 154.87 p-value of test : 0.08 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 72 ChiSquare statistic : 67.01 p-value of test : 0.64 ----------------------------------------------- CPU time used : 00:01:58.40 Generator state: 782322676736 bits have been read. *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin 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 : 124.59 p-value of test : 0.57 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 130 ChiSquare statistic : 110.77 p-value of test : 0.89 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 ChiSquare statistic : 476.07 p-value of test : 0.77 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 122 ChiSquare statistic : 123.74 p-value of test : 0.44 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 66 ChiSquare statistic : 69.38 p-value of test : 0.36 ----------------------------------------------- CPU time used : 00:00:26.40 Generator state: 785522676736 bits have been read. *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin 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 : 421.76 p-value of test : 0.02 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 366 ChiSquare statistic : 391.99 p-value of test : 0.17 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 ChiSquare statistic : 4989.86 p-value of test : 0.54 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 360 ChiSquare statistic : 369.56 p-value of test : 0.35 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 192 ChiSquare statistic : 189.35 p-value of test : 0.54 ----------------------------------------------- CPU time used : 00:01:54.03 Generator state: 790866676736 bits have been read. *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin 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 : 332.27 p-value of test : 0.28 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 318 ChiSquare statistic : 304.47 p-value of test : 0.70 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 ChiSquare statistic : 4912.69 p-value of test : 0.81 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 315 ChiSquare statistic : 293.32 p-value of test : 0.80 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 169 ChiSquare statistic : 160.67 p-value of test : 0.66 ----------------------------------------------- CPU time used : 00:00:25.69 Generator state: 794066676736 bits have been read. *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin scomp_LinearComp test: ----------------------------------------------- N = 1, n = 120000, r = 0, s = 1 ----------------------------------------------- Number of degrees of freedom : 10 Chi2 statistic for size of jumps : 10.01 p-value of test : 0.44 ----------------------------------------------- Normal statistic for number of jumps : -0.12 p-value of test : 0.55 ----------------------------------------------- CPU time used : 00:00:37.46 Generator state: 794070516736 bits have been read. *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin scomp_LinearComp test: ----------------------------------------------- N = 1, n = 120000, r = 29, s = 1 ----------------------------------------------- Number of degrees of freedom : 10 Chi2 statistic for size of jumps : 7.56 p-value of test : 0.67 ----------------------------------------------- Normal statistic for number of jumps : 1.17 p-value of test : 0.12 ----------------------------------------------- CPU time used : 00:00:36.82 Generator state: 794074356736 bits have been read. *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin scomp_LempelZiv test: ----------------------------------------------- N = 10, n = 33554432, r = 0, s = 30, k = 25 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.071 p-value of test : 0.87 Kolmogorov-Smirnov- statistic = D- : 0.30 p-value of test : 0.14 Anderson-Darling statistic = A2 : 1.09 p-value of test : 0.31 Tests on the sum of all N observations Standardized normal statistic : 1.04 p-value of test : 0.15 Sample variance : 1.19 p-value of test : 0.30 ----------------------------------------------- CPU time used : 00:00:32.03 Generator state: 794432270976 bits have been read. *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin sspectral_Fourier3 test: ----------------------------------------------- N = 50000, n = 16384, r = 0, s = 30, k = 14 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 4.18e-3 p-value of test : 0.86 Kolmogorov-Smirnov- statistic = D- : 0.017 p-value of test : 0.10 Anderson-Darling statistic = A2 : 0.76 p-value of test : 0.51 ----------------------------------------------- CPU time used : 00:00:54.64 Generator state: 795307470976 bits have been read. *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin sspectral_Fourier3 test: ----------------------------------------------- N = 50000, n = 16384, r = 20, s = 10, k = 14 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 8.09e-3 p-value of test : 0.58 Kolmogorov-Smirnov- statistic = D- : 8.43e-3 p-value of test : 0.56 Anderson-Darling statistic = A2 : 0.43 p-value of test : 0.81 ----------------------------------------------- CPU time used : 00:00:57.52 Generator state: 797929870976 bits have been read. *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin sstring_LongestHeadRun test: ----------------------------------------------- N = 1, n = 1000, r = 0, s = 30, L = 10000020 ----------------------------------------------- Number of degrees of freedom : 8 Chi-square statistic : 6.98 p-value of test : 0.54 ----------------------------------------------- Global longest run of 1 : 31.00 p-value of test : 0.69 ----------------------------------------------- CPU time used : 00:02:26.92 Generator state: 808596558976 bits have been read. *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin sstring_LongestHeadRun test: ----------------------------------------------- N = 1, n = 300, r = 20, s = 10, L = 10000020 ----------------------------------------------- Number of degrees of freedom : 7 Chi-square statistic : 6.99 p-value of test : 0.43 ----------------------------------------------- Global longest run of 1 : 29.00 p-value of test : 0.75 ----------------------------------------------- CPU time used : 00:00:55.65 Generator state: 818196578176 bits have been read. *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin sstring_PeriodsInStrings test: ----------------------------------------------- N = 1, n = 300000000, r = 0, s = 30 ----------------------------------------------- Number of degrees of freedom : 302 Chi-square statistic : 298.20 p-value of test : 0.55 ----------------------------------------------- CPU time used : 00:00:49.00 Generator state: 827796578176 bits have been read. *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin sstring_PeriodsInStrings test: ----------------------------------------------- N = 1, n = 300000000, r = 15, s = 15 ----------------------------------------------- Number of degrees of freedom : 56 Chi-square statistic : 51.99 p-value of test : 0.63 ----------------------------------------------- CPU time used : 00:00:35.25 Generator state: 837396578176 bits have been read. *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin sstring_HammingWeight2 test: ----------------------------------------------- N = 100, n = 100000000, r = 0, s = 30, L = 1000000 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.036 p-value of test : 0.75 Kolmogorov-Smirnov- statistic = D- : 0.048 p-value of test : 0.61 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 : 10000 Chi-square statistic :10069.58 p-value of test : 0.31 ----------------------------------------------- CPU time used : 00:00:25.39 Generator state: 848063458176 bits have been read. *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin sstring_HammingWeight2 test: ----------------------------------------------- N = 30, n = 100000000, r = 20, s = 10, L = 1000000 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.070 p-value of test : 0.71 Kolmogorov-Smirnov- statistic = D- : 0.19 p-value of test : 0.10 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 : 3000 Chi-square statistic : 3073.66 p-value of test : 0.17 ----------------------------------------------- CPU time used : 00:00:16.61 Generator state: 857663458176 bits have been read. *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 500000000, r = 0, s = 30, L = 30 ----------------------------------------------- Normal statistic : 0.10 p-value of test : 0.46 ----------------------------------------------- CPU time used : 00:00:43.40 Generator state: 873663458176 bits have been read. *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 50000000, r = 0, s = 30, L = 300 ----------------------------------------------- Normal statistic : -1.02 p-value of test : 0.85 ----------------------------------------------- CPU time used : 00:00:39.75 Generator state: 889663458176 bits have been read. *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 10000000, r = 0, s = 30, L = 1200 ----------------------------------------------- Normal statistic : 0.31 p-value of test : 0.38 ----------------------------------------------- CPU time used : 00:00:31.17 Generator state: 902463458176 bits have been read. *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin 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 : 595.01 p-value of test : 0.29 ----------------------------------------------- CPU time used : 00:00:56.30 Generator state: 921663458176 bits have been read. *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin 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 : 549.78 p-value of test : 0.30 ----------------------------------------------- CPU time used : 00:00:42.34 Generator state: 940863458176 bits have been read. *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin 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 : 4163.64 p-value of test : 0.30 ----------------------------------------------- CPU time used : 00:00:50.43 Generator state: 960063458176 bits have been read. *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin 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 : 3652.47 p-value of test : 0.21 ----------------------------------------------- CPU time used : 00:00:35.32 Generator state: 979263458176 bits have been read. *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin 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 :11752.14 p-value of test : 0.68 ----------------------------------------------- CPU time used : 00:01:03.02 Generator state: 1004863458176 bits have been read. *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin 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 : 7652.02 p-value of test : 0.07 ----------------------------------------------- CPU time used : 00:00:13.86 Generator state: 1012543458176 bits have been read. *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin sstring_Run test: ----------------------------------------------- N = 1, n = 1000000000, r = 0, s = 30 ----------------------------------------------- Total number of 1 runs: 1000000000 Number of degrees of freedom : 52 Chi2 statistic for number of runs : 41.80 p-value of test : 0.84 ----------------------------------------------- Total number of bits: 3999993000 Normal statistic for number of bits : -0.078 p-value of test : 0.53 ----------------------------------------------- CPU time used : 00:00:58.81 Generator state: 1016810117376 bits have been read. *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin sstring_Run test: ----------------------------------------------- N = 1, n = 1000000000, r = 20, s = 10 ----------------------------------------------- Total number of 1 runs: 1000000001 Number of degrees of freedom : 52 Chi2 statistic for number of runs : 42.34 p-value of test : 0.83 ----------------------------------------------- Total number of bits: 3999960670 Normal statistic for number of bits : -0.44 p-value of test : 0.67 ----------------------------------------------- CPU time used : 00:01:14.36 Generator state: 1029609991520 bits have been read. *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin sstring_AutoCor test: ----------------------------------------------- N = 10, n = 1000000021, r = 0, s = 30, d = 1 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.12 p-value of test : 0.68 Kolmogorov-Smirnov- statistic = D- : 0.13 p-value of test : 0.66 Anderson-Darling statistic = A2 : 0.30 p-value of test : 0.94 Tests on the sum of all N observations Standardized normal statistic : 0.12 p-value of test : 0.45 Sample variance : 1.01 p-value of test : 0.43 ----------------------------------------------- CPU time used : 00:00:58.86 Generator state: 1040276658720 bits have been read. *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin sstring_AutoCor test: ----------------------------------------------- N = 5, n = 1000000001, r = 20, s = 10, d = 1 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.16 p-value of test : 0.72 Kolmogorov-Smirnov- statistic = D- : 0.33 p-value of test : 0.27 Anderson-Darling statistic = A2 : 0.94 p-value of test : 0.39 Tests on the sum of all N observations Standardized normal statistic : 0.75 p-value of test : 0.23 Sample variance : 2.00 p-value of test : 0.09 ----------------------------------------------- CPU time used : 00:01:15.27 Generator state: 1056276658880 bits have been read. *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin sstring_AutoCor test: ----------------------------------------------- N = 10, n = 1000000020, r = 0, s = 30, d = 30 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.30 p-value of test : 0.14 Kolmogorov-Smirnov- statistic = D- : 0.056 p-value of test : 0.91 Anderson-Darling statistic = A2 : 0.99 p-value of test : 0.36 Tests on the sum of all N observations Standardized normal statistic : -1.12 p-value of test : 0.87 Sample variance : 0.82 p-value of test : 0.60 ----------------------------------------------- CPU time used : 00:00:53.02 Generator state: 1066943326080 bits have been read. *********************************************************** HOST = MasterMind, Linux ufile_CreateReadBin: /mnt/m/random.256G.bin sstring_AutoCor test: ----------------------------------------------- N = 5, n = 1000000010, r = 20, s = 10, d = 10 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.22 p-value of test : 0.55 Kolmogorov-Smirnov- statistic = D- : 0.35 p-value of test : 0.24 Anderson-Darling statistic = A2 : 0.77 p-value of test : 0.50 Tests on the sum of all N observations Standardized normal statistic : 0.47 p-value of test : 0.32 Sample variance : 0.20 p-value of test : 0.94 ----------------------------------------------- CPU time used : 00:01:04.14 Generator state: 1082943326400 bits have been read. ========= Summary results of Crush ========= Version: TestU01 1.2.3 Generator: ufile_CreateReadBin Number of statistics: 144 Total CPU time: 01:27:27.31 All tests were passed