xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx Starting BigCrush Version: TestU01 1.2.3 xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx *********************************************************** Test smarsa_SerialOver calling smultin_MultinomialOver *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 smultin_MultinomialOver test: ----------------------------------------------- N = 1, n = 1000000000, r = 0, d = 256, t = 3, Sparse = FALSE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 16777216 Expected number per cell = 59.604645 Hashing = FALSE For Delta > -1, we use the ChiSquare approximation Correction factor of the ChiSquare: Delta = 1, Mu = 0.0083558402, Sigma = 1 ----------------------------------------------- Test Results for Delta = 1.0000 Number of degrees of freedom : 16711680 Value of the statistic : 1.67e+7 p-value of test : 0.14 ----------------------------------------------- CPU time used : 00:00:48.93 Generator state: 32000000000 bits have been read. *********************************************************** Test smarsa_SerialOver calling smultin_MultinomialOver *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 smultin_MultinomialOver test: ----------------------------------------------- N = 1, n = 1000000000, r = 22, d = 256, t = 3, Sparse = FALSE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 16777216 Expected number per cell = 59.604645 Hashing = FALSE For Delta > -1, we use the ChiSquare approximation Correction factor of the ChiSquare: Delta = 1, Mu = 0.0083558402, Sigma = 1 ----------------------------------------------- Test Results for Delta = 1.0000 Number of degrees of freedom : 16711680 Value of the statistic : 1.67e+7 p-value of test : 0.18 ----------------------------------------------- CPU time used : 00:00:51.75 Generator state: 64000000000 bits have been read. *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 smultin_MultinomialOver test: ----------------------------------------------- N = 30, n = 20000000, r = 0, d = 2097152, t = 2, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 4398046511104 Expected number per cell = 1 / 219902.33 EColl = n^2 / (2k) = 45.47473509 Hashing = TRUE Collision test CollisionOver: density = n / k = 1 / 219902.33 Expected number of collisions = Mu = 45.47 ----------------------------------------------- Results of CollisionOver test: POISSON approximation : Expected number of collisions = N*Mu : 1364.24 Observed number of collisions : 1305 p-value of test : 0.94 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334425 j = 1 : 599997390 j = 2 : 1305 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:02:40.24 Generator state: 83200000000 bits have been read. *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 smultin_MultinomialOver test: ----------------------------------------------- N = 30, n = 20000000, r = 9, d = 2097152, t = 2, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 4398046511104 Expected number per cell = 1 / 219902.33 EColl = n^2 / (2k) = 45.47473509 Hashing = TRUE Collision test CollisionOver: density = n / k = 1 / 219902.33 Expected number of collisions = Mu = 45.47 ----------------------------------------------- Results of CollisionOver test: POISSON approximation : Expected number of collisions = N*Mu : 1364.24 Observed number of collisions : 1387 p-value of test : 0.27 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334507 j = 1 : 599997226 j = 2 : 1387 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:02:58.75 Generator state: 102400000000 bits have been read. *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 smultin_MultinomialOver test: ----------------------------------------------- N = 30, n = 20000000, r = 0, d = 16384, t = 3, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 4398046511104 Expected number per cell = 1 / 219902.33 EColl = n^2 / (2k) = 45.47473509 Hashing = TRUE Collision test CollisionOver: density = n / k = 1 / 219902.33 Expected number of collisions = Mu = 45.47 ----------------------------------------------- Results of CollisionOver test: POISSON approximation : Expected number of collisions = N*Mu : 1364.24 Observed number of collisions : 1316 p-value of test : 0.90 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334436 j = 1 : 599997368 j = 2 : 1316 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:03:30.77 Generator state: 121600000000 bits have been read. *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 smultin_MultinomialOver test: ----------------------------------------------- N = 30, n = 20000000, r = 16, d = 16384, t = 3, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 4398046511104 Expected number per cell = 1 / 219902.33 EColl = n^2 / (2k) = 45.47473509 Hashing = TRUE Collision test CollisionOver: density = n / k = 1 / 219902.33 Expected number of collisions = Mu = 45.47 ----------------------------------------------- Results of CollisionOver test: POISSON approximation : Expected number of collisions = N*Mu : 1364.24 Observed number of collisions : 1365 p-value of test : 0.50 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334485 j = 1 : 599997270 j = 2 : 1365 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:03:49.77 Generator state: 140800000000 bits have been read. *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 smultin_MultinomialOver test: ----------------------------------------------- N = 30, n = 20000000, r = 0, d = 64, t = 7, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 4398046511104 Expected number per cell = 1 / 219902.33 EColl = n^2 / (2k) = 45.47473509 Hashing = TRUE Collision test CollisionOver: density = n / k = 1 / 219902.33 Expected number of collisions = Mu = 45.47 ----------------------------------------------- Results of CollisionOver test: POISSON approximation : Expected number of collisions = N*Mu : 1364.24 Observed number of collisions : 1333 p-value of test : 0.80 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334453 j = 1 : 599997334 j = 2 : 1333 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:03:34.25 Generator state: 160000000000 bits have been read. *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 smultin_MultinomialOver test: ----------------------------------------------- N = 30, n = 20000000, r = 24, d = 64, t = 7, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 4398046511104 Expected number per cell = 1 / 219902.33 EColl = n^2 / (2k) = 45.47473509 Hashing = TRUE Collision test CollisionOver: density = n / k = 1 / 219902.33 Expected number of collisions = Mu = 45.47 ----------------------------------------------- Results of CollisionOver test: POISSON approximation : Expected number of collisions = N*Mu : 1364.24 Observed number of collisions : 1296 p-value of test : 0.97 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334416 j = 1 : 599997408 j = 2 : 1296 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:03:52.38 Generator state: 179200000000 bits have been read. *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 smultin_MultinomialOver test: ----------------------------------------------- N = 30, n = 20000000, r = 0, d = 8, t = 14, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 4398046511104 Expected number per cell = 1 / 219902.33 EColl = n^2 / (2k) = 45.47473509 Hashing = TRUE Collision test CollisionOver: density = n / k = 1 / 219902.33 Expected number of collisions = Mu = 45.47 ----------------------------------------------- Results of CollisionOver test: POISSON approximation : Expected number of collisions = N*Mu : 1364.24 Observed number of collisions : 1402 p-value of test : 0.16 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334522 j = 1 : 599997196 j = 2 : 1402 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:03:34.42 Generator state: 198400000000 bits have been read. *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 smultin_MultinomialOver test: ----------------------------------------------- N = 30, n = 20000000, r = 27, d = 8, t = 14, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 4398046511104 Expected number per cell = 1 / 219902.33 EColl = n^2 / (2k) = 45.47473509 Hashing = TRUE Collision test CollisionOver: density = n / k = 1 / 219902.33 Expected number of collisions = Mu = 45.47 ----------------------------------------------- Results of CollisionOver test: POISSON approximation : Expected number of collisions = N*Mu : 1364.24 Observed number of collisions : 1349 p-value of test : 0.65 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334469 j = 1 : 599997302 j = 2 : 1349 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:03:52.01 Generator state: 217600000000 bits have been read. *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 smultin_MultinomialOver test: ----------------------------------------------- N = 30, n = 20000000, r = 0, d = 4, t = 21, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 4398046511104 Expected number per cell = 1 / 219902.33 EColl = n^2 / (2k) = 45.47473509 Hashing = TRUE Collision test CollisionOver: density = n / k = 1 / 219902.33 Expected number of collisions = Mu = 45.47 ----------------------------------------------- Results of CollisionOver test: POISSON approximation : Expected number of collisions = N*Mu : 1364.24 Observed number of collisions : 1363 p-value of test : 0.51 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334483 j = 1 : 599997274 j = 2 : 1363 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:03:33.74 Generator state: 236800000000 bits have been read. *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 smultin_MultinomialOver test: ----------------------------------------------- N = 30, n = 20000000, r = 28, d = 4, t = 21, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 4398046511104 Expected number per cell = 1 / 219902.33 EColl = n^2 / (2k) = 45.47473509 Hashing = TRUE Collision test CollisionOver: density = n / k = 1 / 219902.33 Expected number of collisions = Mu = 45.47 ----------------------------------------------- Results of CollisionOver test: POISSON approximation : Expected number of collisions = N*Mu : 1364.24 Observed number of collisions : 1324 p-value of test : 0.86 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334444 j = 1 : 599997352 j = 2 : 1324 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:03:50.86 Generator state: 256000000000 bits have been read. *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 smarsa_BirthdaySpacings test: ----------------------------------------------- N = 100, n = 10000000, r = 0, d = 2147483648, t = 2, p = 1 Number of cells = d^t = 4611686018427387904 Lambda = Poisson mean = 54.2101 ---------------------------------------------------- Total expected number = N*Lambda : 5421.01 Total observed number : 5293 p-value of test : 0.96 ----------------------------------------------- CPU time used : 00:03:29.88 Generator state: 320000000000 bits have been read. *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 smarsa_BirthdaySpacings test: ----------------------------------------------- N = 20, n = 20000000, r = 0, d = 2097152, t = 3, p = 1 Number of cells = d^t = 9223372036854775808 Lambda = Poisson mean = 216.8404 ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 Total observed number : 4376 p-value of test : 0.28 ----------------------------------------------- CPU time used : 00:01:29.76 Generator state: 358400000000 bits have been read. *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 smarsa_BirthdaySpacings test: ----------------------------------------------- N = 20, n = 30000000, r = 14, d = 65536, t = 4, p = 1 Number of cells = d^t = 18446744073709551616 Lambda = Poisson mean = 365.9182 ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 Total observed number : 7331 p-value of test : 0.44 ----------------------------------------------- CPU time used : 00:02:21.82 Generator state: 435200000000 bits have been read. *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 smarsa_BirthdaySpacings test: ----------------------------------------------- N = 20, n = 20000000, r = 0, d = 512, t = 7, p = 1 Number of cells = d^t = 9223372036854775808 Lambda = Poisson mean = 216.8404 ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 Total observed number : 4395 p-value of test : 0.19 ----------------------------------------------- CPU time used : 00:01:41.26 Generator state: 524800000000 bits have been read. *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 smarsa_BirthdaySpacings test: ----------------------------------------------- N = 20, n = 20000000, r = 7, d = 512, t = 7, p = 1 Number of cells = d^t = 9223372036854775808 Lambda = Poisson mean = 216.8404 ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 Total observed number : 4185 p-value of test : 0.99 ----------------------------------------------- CPU time used : 00:01:42.03 Generator state: 614400000000 bits have been read. *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 smarsa_BirthdaySpacings test: ----------------------------------------------- N = 20, n = 30000000, r = 14, d = 256, t = 8, p = 1 Number of cells = d^t = 18446744073709551616 Lambda = Poisson mean = 365.9182 ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 Total observed number : 7144 p-value of test : 0.98 ----------------------------------------------- CPU time used : 00:02:39.78 Generator state: 768000000000 bits have been read. *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 smarsa_BirthdaySpacings test: ----------------------------------------------- N = 20, n = 30000000, r = 22, d = 256, t = 8, p = 1 Number of cells = d^t = 18446744073709551616 Lambda = Poisson mean = 365.9182 ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 Total observed number : 7182 p-value of test : 0.94 ----------------------------------------------- CPU time used : 00:02:40.21 Generator state: 921600000000 bits have been read. *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 smarsa_BirthdaySpacings test: ----------------------------------------------- N = 20, n = 30000000, r = 0, d = 16, t = 16, p = 1 Number of cells = d^t = 18446744073709551616 Lambda = Poisson mean = 365.9182 ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 Total observed number : 7431 p-value of test : 0.10 ----------------------------------------------- CPU time used : 00:03:16.34 Generator state: 1228800000000 bits have been read. *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 smarsa_BirthdaySpacings test: ----------------------------------------------- N = 20, n = 30000000, r = 26, d = 16, t = 16, p = 1 Number of cells = d^t = 18446744073709551616 Lambda = Poisson mean = 365.9182 ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 Total observed number : 7395 p-value of test : 0.19 ----------------------------------------------- CPU time used : 00:03:19.11 Generator state: 1536000000000 bits have been read. *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 snpair_ClosePairs test: ----------------------------------------------- N = 30, n = 6000000, r = 0, t = 3, p = 0, m = 30, Torus = TRUE --------------------------------------- Test based on the 2 nearest points (NP): Stat. AD on the N values (NP) : 1.34 p-value of test : 0.22 A2 test based on the spacings between the successive jump times of process Y_n(t): A2 test on the values of A2 (m-NP) : 0.68 p-value of test : 0.57 Test on the Nm values of W_{n,i}(mNP1): 2.41 p-value of test : 0.06 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 900 Number of jumps of Y : 856 p-value of test : 0.93 Stat. AD (mNP2) : 0.26 p-value of test : 0.96 Stat. AD after spacings (mNP2-S) : 0.45 p-value of test : 0.80 ----------------------------------------------- CPU time used : 00:01:35.23 Generator state: 1553280000000 bits have been read. *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 snpair_ClosePairs test: ----------------------------------------------- N = 20, n = 4000000, r = 0, t = 5, p = 0, m = 30, Torus = TRUE --------------------------------------- Test based on the 2 nearest points (NP): Stat. AD on the N values (NP) : 0.50 p-value of test : 0.74 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): 0.62 p-value of test : 0.63 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 600 Number of jumps of Y : 600 p-value of test : 0.51 Stat. AD (mNP2) : 0.92 p-value of test : 0.40 Stat. AD after spacings (mNP2-S) : 0.41 p-value of test : 0.84 ----------------------------------------------- CPU time used : 00:01:09.13 Generator state: 1566080000000 bits have been read. *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 snpair_ClosePairs test: ----------------------------------------------- N = 10, n = 3000000, r = 0, t = 9, p = 0, m = 30, Torus = TRUE --------------------------------------- Test based on the 2 nearest points (NP): Stat. AD on the N values (NP) : 0.80 p-value of test : 0.48 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) : 0.79 p-value of test : 0.49 Test on the Nm values of W_{n,i}(mNP1): 1.27 p-value of test : 0.24 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 300 Number of jumps of Y : 318 p-value of test : 0.16 Stat. AD (mNP2) : 0.18 p-value of test : 0.9946 Stat. AD after spacings (mNP2-S) : 1.32 p-value of test : 0.23 ----------------------------------------------- CPU time used : 00:01:54.13 Generator state: 1574720000000 bits have been read. *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 snpair_ClosePairs test: ----------------------------------------------- N = 5, n = 2000000, r = 0, t = 16, p = 0, m = 30, Torus = TRUE --------------------------------------- Test based on the 2 nearest points (NP): Stat. AD on the N values (NP) : 2.43 p-value of test : 0.06 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): 0.85 p-value of test : 0.45 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) : 4.02 p-value of test : 8.6e-3 Stat. AD after spacings (mNP2-S) : 0.79 p-value of test : 0.49 ----------------------------------------------- CPU time used : 00:02:21.84 Generator state: 1579840000000 bits have been read. *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 sknuth_SimpPoker test: ----------------------------------------------- N = 1, n = 400000000, r = 0, d = 8, k = 8 ----------------------------------------------- Number of degrees of freedom : 7 Chi-square statistic : 13.08 p-value of test : 0.07 ----------------------------------------------- CPU time used : 00:00:43.82 Generator state: 1682240000000 bits have been read. *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 sknuth_SimpPoker test: ----------------------------------------------- N = 1, n = 400000000, r = 27, d = 8, k = 8 ----------------------------------------------- Number of degrees of freedom : 7 Chi-square statistic : 12.50 p-value of test : 0.09 ----------------------------------------------- CPU time used : 00:00:56.31 Generator state: 1784640000000 bits have been read. *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 sknuth_SimpPoker test: ----------------------------------------------- N = 1, n = 100000000, r = 0, d = 32, k = 32 ----------------------------------------------- Number of degrees of freedom : 18 Chi-square statistic : 10.71 p-value of test : 0.91 ----------------------------------------------- CPU time used : 00:00:45.35 Generator state: 1887040000000 bits have been read. *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 sknuth_SimpPoker test: ----------------------------------------------- N = 1, n = 100000000, r = 25, d = 32, k = 32 ----------------------------------------------- Number of degrees of freedom : 18 Chi-square statistic : 13.08 p-value of test : 0.79 ----------------------------------------------- CPU time used : 00:01:03.14 Generator state: 1989440000000 bits have been read. *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 sknuth_CouponCollector test: ----------------------------------------------- N = 1, n = 200000000, r = 0, d = 8 ----------------------------------------------- Number of degrees of freedom : 54 Chi-square statistic : 60.00 p-value of test : 0.27 ----------------------------------------------- CPU time used : 00:00:54.42 Generator state: 2128470156064 bits have been read. *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 sknuth_CouponCollector test: ----------------------------------------------- N = 1, n = 200000000, r = 10, d = 8 ----------------------------------------------- Number of degrees of freedom : 54 Chi-square statistic : 67.33 p-value of test : 0.11 ----------------------------------------------- CPU time used : 00:01:03.10 Generator state: 2267511588992 bits have been read. *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 sknuth_CouponCollector test: ----------------------------------------------- N = 1, n = 200000000, r = 20, d = 8 ----------------------------------------------- Number of degrees of freedom : 54 Chi-square statistic : 55.54 p-value of test : 0.42 ----------------------------------------------- CPU time used : 00:01:03.11 Generator state: 2406549705248 bits have been read. *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 sknuth_CouponCollector test: ----------------------------------------------- N = 1, n = 200000000, r = 27, d = 8 ----------------------------------------------- Number of degrees of freedom : 54 Chi-square statistic : 65.44 p-value of test : 0.14 ----------------------------------------------- CPU time used : 00:01:03.05 Generator state: 2545584894560 bits have been read. *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 sknuth_Gap test: ----------------------------------------------- N = 1, n = 500000000, r = 0, Alpha = 0, Beta = 0.0625 ----------------------------------------------- Number of degrees of freedom : 232 Chi-square statistic : 565.38 p-value of test : eps ***** ----------------------------------------------- CPU time used : 00:00:57.43 Generator state: 2801772966304 bits have been read. *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 sknuth_Gap test: ----------------------------------------------- N = 1, n = 300000000, r = 25, Alpha = 0, Beta = 0.03125 ----------------------------------------------- Number of degrees of freedom : 434 Chi-square statistic : 994.20 p-value of test : eps ***** ----------------------------------------------- CPU time used : 00:01:14.77 Generator state: 3109366220672 bits have been read. *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 sknuth_Gap test: ----------------------------------------------- N = 1, n = 100000000, r = 0, Alpha = 0, Beta = 0.0078125 ----------------------------------------------- Number of degrees of freedom : 1437 Chi-square statistic : 1861.62 p-value of test : 1.9e-13 ***** ----------------------------------------------- CPU time used : 00:01:22.52 Generator state: 3519774286272 bits have been read. *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 sknuth_Gap test: ----------------------------------------------- N = 1, n = 10000000, r = 20, Alpha = 0, Beta = 0.000976562 ----------------------------------------------- Number of degrees of freedom : 7046 Chi-square statistic : 7038.90 p-value of test : 0.52 ----------------------------------------------- CPU time used : 00:01:13.64 Generator state: 3848156023392 bits have been read. *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 sknuth_Run test: ----------------------------------------------- N = 5, n = 1000000000, r = 0, Up = FALSE ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.20 p-value of test : 0.59 Kolmogorov-Smirnov- statistic = D- : 0.34 p-value of test : 0.26 Anderson-Darling statistic = A2 : 0.64 p-value of test : 0.60 Test on the sum of all N observations Number of degrees of freedom : 30 Chi-square statistic : 34.57 p-value of test : 0.26 ----------------------------------------------- CPU time used : 00:00:55.39 Generator state: 4008156023392 bits have been read. *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 sknuth_Run test: ----------------------------------------------- N = 10, n = 1000000000, r = 15, Up = TRUE ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.067 p-value of test : 0.88 Kolmogorov-Smirnov- statistic = D- : 0.19 p-value of test : 0.42 Anderson-Darling statistic = A2 : 0.29 p-value of test : 0.94 Test on the sum of all N observations Number of degrees of freedom : 60 Chi-square statistic : 64.35 p-value of test : 0.33 ----------------------------------------------- CPU time used : 00:02:28.44 Generator state: 4328156023392 bits have been read. *********************************************************** Test sknuth_Permutation calling smultin_Multinomial *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 smultin_Multinomial test: ----------------------------------------------- N = 1, n = 1000000000, r = 5, t = 3, Sparse = FALSE GenerCell = smultin_GenerCellPermut Number of cells = t! = 6 Expected number per cell = 1.6666667e+08 Hashing = FALSE For Delta > -1, we use the ChiSquare approximation Correction factor of the ChiSquare: Delta = 1, Mu = 2.5000002e-09, Sigma = 1 ----------------------------------------------- Test Results for Delta = 1.0000 Number of degrees of freedom : 5 Value of the statistic : 6.88 p-value of test : 0.23 ----------------------------------------------- CPU time used : 00:00:34.92 Generator state: 4424156023392 bits have been read. *********************************************************** Test sknuth_Permutation calling smultin_Multinomial *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 smultin_Multinomial test: ----------------------------------------------- N = 1, n = 1000000000, r = 5, t = 5, Sparse = FALSE GenerCell = smultin_GenerCellPermut Number of cells = t! = 120 Expected number per cell = 8333333.3 Hashing = FALSE For Delta > -1, we use the ChiSquare approximation Correction factor of the ChiSquare: Delta = 1, Mu = 5.9500005e-08, Sigma = 1 ----------------------------------------------- Test Results for Delta = 1.0000 Number of degrees of freedom : 119 Value of the statistic : 112.71 p-value of test : 0.64 ----------------------------------------------- CPU time used : 00:01:18.14 Generator state: 4584156023392 bits have been read. *********************************************************** Test sknuth_Permutation calling smultin_Multinomial *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 smultin_Multinomial test: ----------------------------------------------- N = 1, n = 500000000, r = 5, t = 7, Sparse = FALSE GenerCell = smultin_GenerCellPermut Number of cells = t! = 5040 Expected number per cell = 99206.349 Hashing = FALSE For Delta > -1, we use the ChiSquare approximation Correction factor of the ChiSquare: Delta = 1, Mu = 5.0390004e-06, Sigma = 1 ----------------------------------------------- Test Results for Delta = 1.0000 Number of degrees of freedom : 5039 Value of the statistic : 5133.26 p-value of test : 0.17 ----------------------------------------------- CPU time used : 00:01:10.47 Generator state: 4696156023392 bits have been read. *********************************************************** Test sknuth_Permutation calling smultin_Multinomial *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 smultin_Multinomial test: ----------------------------------------------- N = 1, n = 500000000, r = 10, t = 10, Sparse = FALSE GenerCell = smultin_GenerCellPermut Number of cells = t! = 3628800 Expected number per cell = 137.7866 Hashing = FALSE For Delta > -1, we use the ChiSquare approximation Correction factor of the ChiSquare: Delta = 1, Mu = 0.0036287993, Sigma = 1 ----------------------------------------------- Test Results for Delta = 1.0000 Number of degrees of freedom : 3628799 Value of the statistic : 3.63e+6 p-value of test : 0.09 ----------------------------------------------- CPU time used : 00:02:51.71 Generator state: 4856156023392 bits have been read. *********************************************************** Test sknuth_CollisionPermut calling smultin_Multinomial *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 smultin_Multinomial test: ----------------------------------------------- N = 20, n = 20000000, r = 0, t = 14, Sparse = TRUE GenerCell = smultin_GenerCellPermut Number of cells = t! = 87178291200 Expected number per cell = 1 / 4358.9146 EColl = n^2 / (2k) = 2294.14912 Hashing = TRUE Collision test, Mu = 2293.9736, Sigma = 47.8841 ----------------------------------------------- Test Results for Collisions For the total number of collisions, we use the Poisson approximation: Expected number of collisions = N*Mu : 45879.47 Observed number of collisions : 45718 p-value of test : 0.77 ----------------------------- Total number of cells containing j balls j = 0 : 1743165869718 j = 1 : 399908569 j = 2 : 45708 j = 3 : 5 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:04:37.77 Generator state: 5035356023392 bits have been read. *********************************************************** Test sknuth_CollisionPermut calling smultin_Multinomial *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 smultin_Multinomial test: ----------------------------------------------- N = 20, n = 20000000, r = 10, t = 14, Sparse = TRUE GenerCell = smultin_GenerCellPermut Number of cells = t! = 87178291200 Expected number per cell = 1 / 4358.9146 EColl = n^2 / (2k) = 2294.14912 Hashing = TRUE Collision test, Mu = 2293.9736, Sigma = 47.8841 ----------------------------------------------- Test Results for Collisions For the total number of collisions, we use the Poisson approximation: Expected number of collisions = N*Mu : 45879.47 Observed number of collisions : 46098 p-value of test : 0.15 ----------------------------- Total number of cells containing j balls j = 0 : 1743165870098 j = 1 : 399907808 j = 2 : 46090 j = 3 : 4 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:04:44.39 Generator state: 5214556023392 bits have been read. *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 sknuth_MaxOft test: ----------------------------------------------- N = 40, n = 10000000, r = 0, d = 100000, t = 8 Number of categories = 100000 Expected number per category = 100.00 ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: Kolmogorov-Smirnov+ statistic = D+ : 0.10 p-value of test : 0.39 Kolmogorov-Smirnov- statistic = D- : 0.066 p-value of test : 0.68 Anderson-Darling statistic = A2 : 0.51 p-value of test : 0.74 Test on the sum of all N observations Number of degrees of freedom : 3999960 Chi-square statistic : 4.00e+6 p-value of test : 0.65 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.66 p-value of test : 5.5e-18 ***** Kolmogorov-Smirnov- statistic = D- : 1.18e-3 p-value of test : 0.9988 Anderson-Darling statistic = A2 : 62.08 p-value of test : 1.4e-28 ***** ----------------------------------------------- CPU time used : 00:02:06.42 Generator state: 5316956023392 bits have been read. *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 sknuth_MaxOft test: ----------------------------------------------- N = 30, n = 10000000, r = 0, d = 100000, t = 16 Number of categories = 100000 Expected number per category = 100.00 ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: Kolmogorov-Smirnov+ statistic = D+ : 0.031 p-value of test : 0.93 Kolmogorov-Smirnov- statistic = D- : 0.15 p-value of test : 0.25 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 : 2999970 Chi-square statistic : 3.00e+6 p-value of test : 0.21 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.92 p-value of test : 6.1e-34 ***** Kolmogorov-Smirnov- statistic = D- : 3.58e-7 p-value of test : 1 - 3.6e-7 ***** Anderson-Darling statistic = A2 : 105.38 p-value of test : 1.6e-47 ***** ----------------------------------------------- CPU time used : 00:01:51.38 Generator state: 5470556023392 bits have been read. *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 sknuth_MaxOft test: ----------------------------------------------- N = 20, n = 10000000, r = 0, d = 100000, t = 24 Number of categories = 100000 Expected number per category = 100.00 ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: Kolmogorov-Smirnov+ statistic = D+ : 0.15 p-value of test : 0.39 Kolmogorov-Smirnov- statistic = D- : 0.15 p-value of test : 0.39 Anderson-Darling statistic = A2 : 0.57 p-value of test : 0.67 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 p-value of test : 0.50 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.91 p-value of test : 4.9e-22 ***** Kolmogorov-Smirnov- statistic = D- : 1.93e-8 p-value of test : 1 - 1.9e-8 ***** Anderson-Darling statistic = A2 : 103.53 p-value of test : 1.0e-46 ***** ----------------------------------------------- CPU time used : 00:01:25.31 Generator state: 5624156023392 bits have been read. *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 sknuth_MaxOft test: ----------------------------------------------- N = 20, n = 10000000, r = 0, d = 100000, t = 32 Number of categories = 100000 Expected number per category = 100.00 ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: Kolmogorov-Smirnov+ statistic = D+ : 0.12 p-value of test : 0.54 Kolmogorov-Smirnov- statistic = D- : 0.069 p-value of test : 0.79 Anderson-Darling statistic = A2 : 0.35 p-value of test : 0.90 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 p-value of test : 0.66 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.94 p-value of test : 1.3e-24 ***** Kolmogorov-Smirnov- statistic = D- : 1.00e-7 p-value of test : 1 - 1.0e-7 ***** Anderson-Darling statistic = A2 : 128.45 p-value of test : 1.4e-57 ***** ----------------------------------------------- CPU time used : 00:01:36.15 Generator state: 5828956023392 bits have been read. *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 svaria_SampleProd test: ----------------------------------------------- N = 40, n = 10000000, r = 0, t = 8 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.21 p-value of test : 0.03 Kolmogorov-Smirnov- statistic = D- : 2.75e-3 p-value of test : 0.9969 Anderson-Darling statistic = A2 : 3.70 p-value of test : 0.01 ----------------------------------------------- CPU time used : 00:01:37.27 Generator state: 5931356023392 bits have been read. *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 svaria_SampleProd test: ----------------------------------------------- N = 20, n = 10000000, r = 0, t = 16 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.69 p-value of test : 2.3e-10 ***** Kolmogorov-Smirnov- statistic = D- : 4.55e-3 p-value of test : 0.9950 Anderson-Darling statistic = A2 : 27.91 p-value of test : 1.4e-13 ***** ----------------------------------------------- CPU time used : 00:01:02.47 Generator state: 6033756023392 bits have been read. *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 svaria_SampleProd test: ----------------------------------------------- N = 20, n = 10000000, r = 0, t = 24 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.67 p-value of test : 7.8e-10 ***** Kolmogorov-Smirnov- statistic = D- : 2.35e-6 p-value of test : 1 - 2.4e-6 ***** Anderson-Darling statistic = A2 : 37.01 p-value of test : 1.4e-17 ***** ----------------------------------------------- CPU time used : 00:01:14.97 Generator state: 6187356023392 bits have been read. *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 svaria_SampleMean test: ----------------------------------------------- N = 20000000, n = 30, r = 0 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 8.21e-5 p-value of test : 0.76 Kolmogorov-Smirnov- statistic = D- : 1.38e-4 p-value of test : 0.47 Anderson-Darling statistic = A2 : 0.52 p-value of test : 0.72 ----------------------------------------------- CPU time used : 00:00:19.48 Generator state: 6206556023392 bits have been read. *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 svaria_SampleMean test: ----------------------------------------------- N = 20000000, n = 30, r = 10 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 2.58e-5 p-value of test : 0.97 Kolmogorov-Smirnov- statistic = D- : 2.07e-4 p-value of test : 0.18 Anderson-Darling statistic = A2 : 1.03 p-value of test : 0.34 ----------------------------------------------- CPU time used : 00:00:20.01 Generator state: 6225756023392 bits have been read. *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 svaria_SampleCorr test: ----------------------------------------------- N = 1, n = 2000000000, r = 0, k = 1 ----------------------------------------------- Normal statistic : -0.77 p-value of test : 0.78 ----------------------------------------------- CPU time used : 00:00:13.19 Generator state: 6289756023392 bits have been read. *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 svaria_SampleCorr test: ----------------------------------------------- N = 1, n = 2000000000, r = 0, k = 2 ----------------------------------------------- Normal statistic : -0.72 p-value of test : 0.76 ----------------------------------------------- CPU time used : 00:00:13.44 Generator state: 6353756023392 bits have been read. *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 svaria_AppearanceSpacings test: ----------------------------------------------- N = 1, Q = 10000000, K = 1000000000, r = 0, s = 3, L = 15 Sequences of n = (K + Q)L = 15150000000 bits Q = 10000000 initialization blocks K = 1000000000 blocks for the test the blocks have L = 15 bits ----------------------------------------------- Normal statistic : -0.31 p-value of test : 0.62 ----------------------------------------------- CPU time used : 00:01:05.97 Generator state: 6515356023392 bits have been read. *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 svaria_AppearanceSpacings test: ----------------------------------------------- N = 1, Q = 10000000, K = 1000000000, r = 27, s = 3, L = 15 Sequences of n = (K + Q)L = 15150000000 bits Q = 10000000 initialization blocks K = 1000000000 blocks for the test the blocks have L = 15 bits ----------------------------------------------- Normal statistic : 0.21 p-value of test : 0.42 ----------------------------------------------- CPU time used : 00:01:07.15 Generator state: 6676956023392 bits have been read. *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 svaria_WeightDistrib test: ----------------------------------------------- N = 1, n = 20000000, r = 0, k = 256, Alpha = 0, Beta = 0.25 ----------------------------------------------- Number of degrees of freedom : 67 Chi-square statistic : 88.10 p-value of test : 0.04 ----------------------------------------------- CPU time used : 00:00:32.60 Generator state: 6840796023392 bits have been read. *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 svaria_WeightDistrib test: ----------------------------------------------- N = 1, n = 20000000, r = 20, k = 256, Alpha = 0, Beta = 0.25 ----------------------------------------------- Number of degrees of freedom : 67 Chi-square statistic : 81.23 p-value of test : 0.11 ----------------------------------------------- CPU time used : 00:00:37.68 Generator state: 7004636023392 bits have been read. *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 svaria_WeightDistrib test: ----------------------------------------------- N = 1, n = 20000000, r = 28, k = 256, Alpha = 0, Beta = 0.25 ----------------------------------------------- Number of degrees of freedom : 67 Chi-square statistic : 77.03 p-value of test : 0.19 ----------------------------------------------- CPU time used : 00:00:37.53 Generator state: 7168476023392 bits have been read. *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 svaria_WeightDistrib test: ----------------------------------------------- N = 1, n = 20000000, r = 0, k = 256, Alpha = 0, Beta = 0.0625 ----------------------------------------------- Number of degrees of freedom : 37 Chi-square statistic : 177.46 p-value of test : eps ***** ----------------------------------------------- CPU time used : 00:00:32.44 Generator state: 7332316023392 bits have been read. *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 svaria_WeightDistrib test: ----------------------------------------------- N = 1, n = 20000000, r = 10, k = 256, Alpha = 0, Beta = 0.0625 ----------------------------------------------- Number of degrees of freedom : 37 Chi-square statistic : 258.48 p-value of test : eps ***** ----------------------------------------------- CPU time used : 00:00:37.53 Generator state: 7496156023392 bits have been read. *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 svaria_WeightDistrib test: ----------------------------------------------- N = 1, n = 20000000, r = 26, k = 256, Alpha = 0, Beta = 0.0625 ----------------------------------------------- Number of degrees of freedom : 37 Chi-square statistic : 197.60 p-value of test : eps ***** ----------------------------------------------- CPU time used : 00:00:37.47 Generator state: 7659996023392 bits have been read. *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 svaria_SumCollector test: ----------------------------------------------- N = 1, n = 500000000, r = 0, g = 10 ----------------------------------------------- Number of degrees of freedom : 29 Chi-square statistic : 43.36 p-value of test : 0.04 ----------------------------------------------- CPU time used : 00:01:11.71 Generator state: 7990662639936 bits have been read. *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 smarsa_MatrixRank test: ----------------------------------------------- N = 10, n = 1000000, r = 0, s = 5, L = 30, k = 30 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.16 p-value of test : 0.54 Kolmogorov-Smirnov- statistic = D- : 0.22 p-value of test : 0.32 Anderson-Darling statistic = A2 : 0.97 p-value of test : 0.37 Test on the sum of all N observations Number of degrees of freedom : 40 Chi-square statistic : 46.17 p-value of test : 0.23 ----------------------------------------------- CPU time used : 00:00:56.94 Generator state: 8048262639936 bits have been read. *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 smarsa_MatrixRank test: ----------------------------------------------- N = 10, n = 1000000, r = 25, s = 5, L = 30, k = 30 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.22 p-value of test : 0.33 Kolmogorov-Smirnov- statistic = D- : 0.19 p-value of test : 0.44 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 : 40 Chi-square statistic : 40.26 p-value of test : 0.46 ----------------------------------------------- CPU time used : 00:00:56.85 Generator state: 8105862639936 bits have been read. *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 5000, r = 0, s = 4, L = 1000, k = 1000 ----------------------------------------------- Number of degrees of freedom : 3 Chi-square statistic : 4.79 p-value of test : 0.19 ----------------------------------------------- CPU time used : 00:01:18.10 Generator state: 8145862639936 bits have been read. *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 5000, r = 26, s = 4, L = 1000, k = 1000 ----------------------------------------------- Number of degrees of freedom : 3 Chi-square statistic : 0.37 p-value of test : 0.95 ----------------------------------------------- CPU time used : 00:01:18.06 Generator state: 8185862639936 bits have been read. *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 80, r = 15, s = 15, L = 5000, k = 5000 ----------------------------------------------- Number of degrees of freedom : 2 Chi-square statistic : 0.059 p-value of test : 0.97 ----------------------------------------------- CPU time used : 00:01:08.22 Generator state: 8190137839936 bits have been read. *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 80, r = 0, s = 30, L = 5000, k = 5000 ----------------------------------------------- Number of degrees of freedom : 2 Chi-square statistic : 5.88 p-value of test : 0.05 ----------------------------------------------- CPU time used : 00:01:00.07 Generator state: 8192275439936 bits have been read. *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 smarsa_Savir2 test: ----------------------------------------------- N = 10, n = 10000000, r = 10, m = 1048576, t = 30 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.15 p-value of test : 0.59 Kolmogorov-Smirnov- statistic = D- : 0.18 p-value of test : 0.46 Anderson-Darling statistic = A2 : 0.28 p-value of test : 0.95 Test on the sum of all N observations Number of degrees of freedom : 130 Chi-square statistic : 131.06 p-value of test : 0.46 ----------------------------------------------- CPU time used : 00:00:23.31 Generator state: 8288275439936 bits have been read. *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 smarsa_GCD test: ----------------------------------------------- N = 10, n = 50000000, r = 0, s = 30 ----------------------------------------------- Test results for GCD values: Kolmogorov-Smirnov+ statistic = D+ : 0.30 p-value of test : 0.13 Kolmogorov-Smirnov- statistic = D- : 3.75e-3 p-value of test : 0.9961 Anderson-Darling statistic = A2 : 1.61 p-value of test : 0.15 Test on the sum of all N observations Number of degrees of freedom : 17430 Chi-square statistic :17094.62 p-value of test : 0.96 ----------------------------------------------- CPU time used : 00:00:47.92 Generator state: 8320275439936 bits have been read. *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 swalk_RandomWalk1 test: ----------------------------------------------- N = 1, n = 100000000, r = 0, s = 5, L0 = 50, L1 = 50 ----------------------------------------------- Test on the values of the Statistic H Number of degrees of freedom : 36 ChiSquare statistic : 32.73 p-value of test : 0.62 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 ChiSquare statistic : 38.46 p-value of test : 0.32 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 ChiSquare statistic : 19.26 p-value of test : 0.78 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 ChiSquare statistic : 55.83 p-value of test : 2.4e-4 ***** ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 ChiSquare statistic : 24.70 p-value of test : 0.10 ----------------------------------------------- CPU time used : 00:00:33.53 Generator state: 8352275439936 bits have been read. *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 swalk_RandomWalk1 test: ----------------------------------------------- N = 1, n = 100000000, r = 25, s = 5, L0 = 50, L1 = 50 ----------------------------------------------- Test on the values of the Statistic H Number of degrees of freedom : 36 ChiSquare statistic : 54.10 p-value of test : 0.03 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 ChiSquare statistic : 43.05 p-value of test : 0.16 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 ChiSquare statistic : 36.16 p-value of test : 0.07 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 ChiSquare statistic : 36.47 p-value of test : 0.05 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 ChiSquare statistic : 27.29 p-value of test : 0.05 ----------------------------------------------- CPU time used : 00:00:33.46 Generator state: 8384275439936 bits have been read. *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 swalk_RandomWalk1 test: ----------------------------------------------- N = 1, n = 10000000, r = 0, s = 10, L0 = 1000, L1 = 1000 ----------------------------------------------- Test on the values of the Statistic H Number of degrees of freedom : 146 ChiSquare statistic : 166.20 p-value of test : 0.12 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 ChiSquare statistic : 147.37 p-value of test : 0.45 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 ChiSquare statistic : 574.58 p-value of test : 0.01 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 ChiSquare statistic : 172.84 p-value of test : 0.02 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 ChiSquare statistic : 77.26 p-value of test : 0.38 ----------------------------------------------- CPU time used : 00:00:37.73 Generator state: 8416275439936 bits have been read. *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 swalk_RandomWalk1 test: ----------------------------------------------- N = 1, n = 10000000, r = 20, s = 10, L0 = 1000, L1 = 1000 ----------------------------------------------- Test on the values of the Statistic H Number of degrees of freedom : 146 ChiSquare statistic : 145.56 p-value of test : 0.49 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 ChiSquare statistic : 172.65 p-value of test : 0.07 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 ChiSquare statistic : 478.94 p-value of test : 0.74 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 ChiSquare statistic : 158.66 p-value of test : 0.09 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 ChiSquare statistic : 89.19 p-value of test : 0.11 ----------------------------------------------- CPU time used : 00:00:37.18 Generator state: 8448275439936 bits have been read. *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 swalk_RandomWalk1 test: ----------------------------------------------- N = 1, n = 1000000, r = 0, s = 15, L0 = 10000, L1 = 10000 ----------------------------------------------- Test on the values of the Statistic H Number of degrees of freedom : 384 ChiSquare statistic : 384.49 p-value of test : 0.48 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 ChiSquare statistic : 435.86 p-value of test : 0.03 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 ChiSquare statistic : 4866.72 p-value of test : 0.91 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 ChiSquare statistic : 385.42 p-value of test : 0.39 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 ChiSquare statistic : 204.09 p-value of test : 0.41 ----------------------------------------------- CPU time used : 00:00:31.09 Generator state: 8469619439936 bits have been read. *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 swalk_RandomWalk1 test: ----------------------------------------------- N = 1, n = 1000000, r = 15, s = 15, L0 = 10000, L1 = 10000 ----------------------------------------------- Test on the values of the Statistic H Number of degrees of freedom : 384 ChiSquare statistic : 388.33 p-value of test : 0.43 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 ChiSquare statistic : 372.38 p-value of test : 0.66 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 ChiSquare statistic : 4985.29 p-value of test : 0.56 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 ChiSquare statistic : 396.10 p-value of test : 0.25 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 ChiSquare statistic : 214.83 p-value of test : 0.22 ----------------------------------------------- CPU time used : 00:00:30.42 Generator state: 8490963439936 bits have been read. *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 scomp_LinearComp test: ----------------------------------------------- N = 1, n = 400020, r = 0, s = 1 ----------------------------------------------- Number of degrees of freedom : 12 Chi2 statistic for size of jumps : 9.73 p-value of test : 0.64 ----------------------------------------------- Normal statistic for number of jumps : -1.26 p-value of test : 0.90 ----------------------------------------------- CPU time used : 00:02:08.01 Generator state: 8490976240576 bits have been read. *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 scomp_LinearComp test: ----------------------------------------------- N = 1, n = 400020, r = 29, s = 1 ----------------------------------------------- Number of degrees of freedom : 12 Chi2 statistic for size of jumps : 8.78 p-value of test : 0.72 ----------------------------------------------- Normal statistic for number of jumps : 0.30 p-value of test : 0.38 ----------------------------------------------- CPU time used : 00:02:08.22 Generator state: 8490989041216 bits have been read. *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 scomp_LempelZiv test: ----------------------------------------------- N = 10, n = 134217728, r = 0, s = 30, k = 27 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.097 p-value of test : 0.78 Kolmogorov-Smirnov- statistic = D- : 0.24 p-value of test : 0.28 Anderson-Darling statistic = A2 : 0.53 p-value of test : 0.71 Tests on the sum of all N observations Standardized normal statistic : 0.54 p-value of test : 0.29 Sample variance : 0.80 p-value of test : 0.61 ----------------------------------------------- CPU time used : 00:01:02.67 Generator state: 8492420697216 bits have been read. *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 scomp_LempelZiv test: ----------------------------------------------- N = 10, n = 134217728, r = 15, s = 15, k = 27 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.046 p-value of test : 0.93 Kolmogorov-Smirnov- statistic = D- : 0.17 p-value of test : 0.49 Anderson-Darling statistic = A2 : 0.46 p-value of test : 0.78 Tests on the sum of all N observations Standardized normal statistic : 0.84 p-value of test : 0.20 Sample variance : 1.24 p-value of test : 0.26 ----------------------------------------------- CPU time used : 00:01:05.48 Generator state: 8495284008896 bits have been read. *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 sspectral_Fourier3 test: ----------------------------------------------- N = 100000, n = 16384, r = 0, s = 3, k = 14 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.021 p-value of test : 0.03 Kolmogorov-Smirnov- statistic = D- : 1.81e-3 p-value of test : 0.97 Anderson-Darling statistic = A2 : 1.76 p-value of test : 0.12 ----------------------------------------------- CPU time used : 00:00:39.88 Generator state: 8512762408896 bits have been read. *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 sspectral_Fourier3 test: ----------------------------------------------- N = 100000, n = 16384, r = 27, s = 3, k = 14 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.025 p-value of test : 6.0e-3 Kolmogorov-Smirnov- statistic = D- : 6.59e-3 p-value of test : 0.70 Anderson-Darling statistic = A2 : 2.96 p-value of test : 0.03 ----------------------------------------------- CPU time used : 00:00:39.28 Generator state: 8530240808896 bits have been read. *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 sstring_LongestHeadRun test: ----------------------------------------------- N = 1, n = 1000, r = 0, s = 3, L = 10000020 ----------------------------------------------- Number of degrees of freedom : 8 Chi-square statistic : 11.16 p-value of test : 0.19 ----------------------------------------------- Global longest run of 1 : 33.00 p-value of test : 0.44 ----------------------------------------------- CPU time used : 00:01:14.40 Generator state: 8636907688896 bits have been read. *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 sstring_LongestHeadRun test: ----------------------------------------------- N = 1, n = 1000, r = 27, s = 3, L = 10000020 ----------------------------------------------- Number of degrees of freedom : 8 Chi-square statistic : 5.83 p-value of test : 0.67 ----------------------------------------------- Global longest run of 1 : 38.00 p-value of test : 0.02 ----------------------------------------------- CPU time used : 00:01:14.71 Generator state: 8743574568896 bits have been read. *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 sstring_PeriodsInStrings test: ----------------------------------------------- N = 10, n = 500000000, r = 0, s = 10 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 1.29e-4 p-value of test : 0.9999 ***** Kolmogorov-Smirnov- statistic = D- : 0.66 p-value of test : 4.3e-5 ***** Anderson-Darling statistic = A2 : 18.98 p-value of test : 1.3e-9 ***** Test on the sum of all N observations Number of degrees of freedom : 200 Chi-square statistic : 356.08 p-value of test : 7.2e-11 ***** ----------------------------------------------- CPU time used : 00:01:51.27 Generator state: 8903574568896 bits have been read. *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 sstring_PeriodsInStrings test: ----------------------------------------------- N = 10, n = 500000000, r = 20, s = 10 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 4.16e-6 p-value of test : 1 - 4.2e-6 ***** Kolmogorov-Smirnov- statistic = D- : 0.98 p-value of test : 8.4e-19 ***** Anderson-Darling statistic = A2 : 50.45 p-value of test : 1.7e-23 ***** Test on the sum of all N observations Number of degrees of freedom : 200 Chi-square statistic : 455.79 p-value of test : 5.2e-22 ***** ----------------------------------------------- CPU time used : 00:01:51.88 Generator state: 9063574568896 bits have been read. *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 sstring_HammingWeight2 test: ----------------------------------------------- N = 10, n = 1000000000, r = 0, s = 3, L = 1000000 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.083 p-value of test : 0.83 Kolmogorov-Smirnov- statistic = D- : 0.27 p-value of test : 0.19 Anderson-Darling statistic = A2 : 1.10 p-value of test : 0.31 Test on the sum of all N observations Number of degrees of freedom : 10000 Chi-square statistic :10164.53 p-value of test : 0.12 ----------------------------------------------- CPU time used : 00:00:42.28 Generator state: 9170241448896 bits have been read. *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 sstring_HammingWeight2 test: ----------------------------------------------- N = 10, n = 1000000000, r = 27, s = 3, L = 1000000 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.13 p-value of test : 0.67 Kolmogorov-Smirnov- statistic = D- : 0.30 p-value of test : 0.14 Anderson-Darling statistic = A2 : 0.83 p-value of test : 0.45 Test on the sum of all N observations Number of degrees of freedom : 10000 Chi-square statistic :10083.11 p-value of test : 0.28 ----------------------------------------------- CPU time used : 00:00:42.31 Generator state: 9276908328896 bits have been read. *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 1000000000, r = 10, s = 10, L = 30 ----------------------------------------------- Normal statistic : -0.52 p-value of test : 0.70 ----------------------------------------------- CPU time used : 00:00:55.88 Generator state: 9372908328896 bits have been read. *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 100000000, r = 10, s = 10, L = 300 ----------------------------------------------- Normal statistic : -1.04 p-value of test : 0.85 ----------------------------------------------- CPU time used : 00:00:52.85 Generator state: 9468908328896 bits have been read. *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 100000000, r = 10, s = 10, L = 1200 ----------------------------------------------- Normal statistic : -0.036 p-value of test : 0.51 ----------------------------------------------- CPU time used : 00:03:29.92 Generator state: 9852908328896 bits have been read. *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 sstring_HammingIndep test: ----------------------------------------------- N = 10, n = 30000000, r = 0, s = 3, L = 30, d = 0 Counters with expected numbers >= 10 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.33 p-value of test : 0.10 Kolmogorov-Smirnov- statistic = D- : 0.17 p-value of test : 0.52 Anderson-Darling statistic = A2 : 0.92 p-value of test : 0.40 Test on the sum of all N observations Number of degrees of freedom : 4890 Chi-square statistic : 4857.47 p-value of test : 0.63 ----------------------------------------------- CPU time used : 00:01:21.79 Generator state: 10044908328896 bits have been read. *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 sstring_HammingIndep test: ----------------------------------------------- N = 10, n = 30000000, r = 27, s = 3, L = 30, d = 0 Counters with expected numbers >= 10 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.088 p-value of test : 0.81 Kolmogorov-Smirnov- statistic = D- : 0.12 p-value of test : 0.71 Anderson-Darling statistic = A2 : 0.36 p-value of test : 0.88 Test on the sum of all N observations Number of degrees of freedom : 4890 Chi-square statistic : 4939.77 p-value of test : 0.31 ----------------------------------------------- CPU time used : 00:01:21.78 Generator state: 10236908328896 bits have been read. *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 sstring_HammingIndep test: ----------------------------------------------- N = 1, n = 30000000, r = 0, s = 4, L = 300, d = 0 Counters with expected numbers >= 10 ----------------------------------------------- Number of degrees of freedom : 4117 Chi-square statistic : 4063.90 p-value of test : 0.72 ----------------------------------------------- CPU time used : 00:01:01.21 Generator state: 10380908328896 bits have been read. *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 sstring_HammingIndep test: ----------------------------------------------- N = 1, n = 30000000, r = 26, s = 4, L = 300, d = 0 Counters with expected numbers >= 10 ----------------------------------------------- Number of degrees of freedom : 4117 Chi-square statistic : 4129.94 p-value of test : 0.44 ----------------------------------------------- CPU time used : 00:01:00.54 Generator state: 10524908328896 bits have been read. *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 sstring_HammingIndep test: ----------------------------------------------- N = 1, n = 10000000, r = 0, s = 5, L = 1200, d = 0 Counters with expected numbers >= 10 ----------------------------------------------- Number of degrees of freedom : 11825 Chi-square statistic :11901.20 p-value of test : 0.31 ----------------------------------------------- CPU time used : 00:01:07.60 Generator state: 10678508328896 bits have been read. *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 sstring_HammingIndep test: ----------------------------------------------- N = 1, n = 10000000, r = 25, s = 5, L = 1200, d = 0 Counters with expected numbers >= 10 ----------------------------------------------- Number of degrees of freedom : 11825 Chi-square statistic :11705.20 p-value of test : 0.78 ----------------------------------------------- CPU time used : 00:01:07.30 Generator state: 10832108328896 bits have been read. *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 sstring_Run test: ----------------------------------------------- N = 1, n = 2000000000, r = 0, s = 3 ----------------------------------------------- Total number of 1 runs: 2000000000 Number of degrees of freedom : 54 Chi2 statistic for number of runs : 90.87 p-value of test : 1.3e-3 ----------------------------------------------- Total number of bits: 7999710696 Normal statistic for number of bits : -2.29 p-value of test : 0.99 ----------------------------------------------- CPU time used : 00:00:57.90 Generator state: 10917438576320 bits have been read. *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 sstring_Run test: ----------------------------------------------- N = 1, n = 2000000000, r = 27, s = 3 ----------------------------------------------- Total number of 1 runs: 2000000001 Number of degrees of freedom : 54 Chi2 statistic for number of runs : 131.36 p-value of test : 2.2e-8 ***** ----------------------------------------------- Total number of bits: 7999643583 Normal statistic for number of bits : -2.82 p-value of test : 0.9976 ----------------------------------------------- CPU time used : 00:00:59.52 Generator state: 11002768107872 bits have been read. *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 sstring_AutoCor test: ----------------------------------------------- N = 10, n = 1000000030, r = 0, s = 3, d = 1 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 8.46e-3 p-value of test : 0.9909 Kolmogorov-Smirnov- statistic = D- : 0.40 p-value of test : 0.03 Anderson-Darling statistic = A2 : 2.03 p-value of test : 0.09 Tests on the sum of all N observations Standardized normal statistic : 1.95 p-value of test : 0.03 Sample variance : 0.82 p-value of test : 0.60 ----------------------------------------------- CPU time used : 00:01:15.98 Generator state: 11109434777952 bits have been read. *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 sstring_AutoCor test: ----------------------------------------------- N = 10, n = 1000000029, r = 0, s = 3, d = 3 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.11 p-value of test : 0.75 Kolmogorov-Smirnov- statistic = D- : 0.15 p-value of test : 0.56 Anderson-Darling statistic = A2 : 0.20 p-value of test : 0.9907 Tests on the sum of all N observations Standardized normal statistic : 0.14 p-value of test : 0.44 Sample variance : 0.90 p-value of test : 0.53 ----------------------------------------------- CPU time used : 00:00:59.85 Generator state: 11216101448032 bits have been read. *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 sstring_AutoCor test: ----------------------------------------------- N = 10, n = 1000000030, r = 27, s = 3, d = 1 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.075 p-value of test : 0.86 Kolmogorov-Smirnov- statistic = D- : 0.39 p-value of test : 0.03 Anderson-Darling statistic = A2 : 6.29 p-value of test : 7.8e-4 ***** Tests on the sum of all N observations Standardized normal statistic : 3.40 p-value of test : 3.4e-4 ***** Sample variance : 3.40 p-value of test : 3.4e-4 ***** ----------------------------------------------- CPU time used : 00:01:18.69 Generator state: 11322768118112 bits have been read. *********************************************************** HOST = n93, Linux ufile_CreateReadBin: /c/idq01 sstring_AutoCor test: ----------------------------------------------- N = 10, n = 1000000029, r = 27, s = 3, d = 3 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.014 p-value of test : 0.98 Kolmogorov-Smirnov- statistic = D- : 0.47 p-value of test : 8.2e-3 Anderson-Darling statistic = A2 : 3.66 p-value of test : 0.01 Tests on the sum of all N observations Standardized normal statistic : 2.44 p-value of test : 7.4e-3 Sample variance : 0.95 p-value of test : 0.48 ----------------------------------------------- CPU time used : 00:01:01.64 Generator state: 11429434788192 bits have been read. ========= Summary results of BigCrush ========= Version: TestU01 1.2.3 Generator: ufile_CreateReadBin Number of statistics: 160 Total CPU time: 02:42:07.04 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 ---------------------------------------------- 34 Gap, r = 0 eps 35 Gap, r = 25 eps 36 Gap, r = 0 1.9e-13 46 MaxOft AD, t = 8 1.4e-28 47 MaxOft AD, t = 16 1.6e-47 48 MaxOft AD, t = 24 1.0e-46 49 MaxOft AD, t = 32 1.4e-57 51 SampleProd, t = 16 1.4e-13 52 SampleProd, t = 24 1.4e-17 62 WeightDistrib, r = 0 eps 63 WeightDistrib, r = 10 eps 64 WeightDistrib, r = 26 eps 74 RandomWalk1 R (L=50, r=0) 2.4e-4 88 PeriodsInStrings, r = 0 7.2e-11 89 PeriodsInStrings, r = 20 5.2e-22 102 Run of bits, r = 27 2.2e-8 105 AutoCor, d=1, r=27 3.4e-4 ---------------------------------------------- All other tests were passed