http://git-wip-us.apache.org/repos/asf/commons-math/blob/6ddf4769/src/site/resources/txt/userguide/rng/stress/tu/run_1/tu_12 ---------------------------------------------------------------------- diff --git a/src/site/resources/txt/userguide/rng/stress/tu/run_1/tu_12 b/src/site/resources/txt/userguide/rng/stress/tu/run_1/tu_12 new file mode 100644 index 0000000..4d9d01a --- /dev/null +++ b/src/site/resources/txt/userguide/rng/stress/tu/run_1/tu_12 @@ -0,0 +1,3803 @@ +# +# RNG: org.apache.commons.math4.rng.internal.source64.XorShift1024Star +# +# Java: 1.8.0_66 +# Runtime: 1.8.0_66-b17 +# JVM: Java HotSpot(TM) 64-Bit Server VM 25.66-b17 +# OS: Linux 3.16.0-4-amd64 amd64 +# +# Analyzer: ./stdin2testu01 BigCrush +# +xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx + Starting BigCrush + Version: TestU01 1.2.3 +xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx + + +*********************************************************** +Test smarsa_SerialOver calling smultin_MultinomialOver + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +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 : 0.12 + + +----------------------------------------------- +CPU time used : 00:02:12.69 + +Generator state: +N/A + + + +*********************************************************** +Test smarsa_SerialOver calling smultin_MultinomialOver + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +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 : 0.76 + + +----------------------------------------------- +CPU time used : 00:01:35.97 + +Generator state: +N/A + + + +*********************************************************** +Test smarsa_CollisionOver calling smultin_MultinomialOver + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +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 : 1351 +p-value of test : 0.63 + +----------------------------- +Total number of cells containing j balls + + j = 0 : 131940795334471 + j = 1 : 599997298 + j = 2 : 1351 + j = 3 : 0 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:06:20.64 + +Generator state: +N/A + + + +*********************************************************** +Test smarsa_CollisionOver calling smultin_MultinomialOver + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +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 : 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 : 00:04:22.63 + +Generator state: +N/A + + + +*********************************************************** +Test smarsa_CollisionOver calling smultin_MultinomialOver + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +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 : 1347 +p-value of test : 0.67 + +----------------------------- +Total number of cells containing j balls + + j = 0 : 131940795334467 + j = 1 : 599997306 + j = 2 : 1347 + j = 3 : 0 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:05:30.73 + +Generator state: +N/A + + + +*********************************************************** +Test smarsa_CollisionOver calling smultin_MultinomialOver + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +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 : 1346 +p-value of test : 0.68 + +----------------------------- +Total number of cells containing j balls + + j = 0 : 131940795334466 + j = 1 : 599997308 + j = 2 : 1346 + j = 3 : 0 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:05:52.54 + +Generator state: +N/A + + + +*********************************************************** +Test smarsa_CollisionOver calling smultin_MultinomialOver + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +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 : 1339 +p-value of test : 0.75 + +----------------------------- +Total number of cells containing j balls + + j = 0 : 131940795334459 + j = 1 : 599997322 + j = 2 : 1339 + j = 3 : 0 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:06:16.22 + +Generator state: +N/A + + + +*********************************************************** +Test smarsa_CollisionOver calling smultin_MultinomialOver + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +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 : 1412 +p-value of test : 0.10 + +----------------------------- +Total number of cells containing j balls + + j = 0 : 131940795334532 + j = 1 : 599997176 + j = 2 : 1412 + j = 3 : 0 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:06:03.73 + +Generator state: +N/A + + + +*********************************************************** +Test smarsa_CollisionOver calling smultin_MultinomialOver + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +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 : 1382 +p-value of test : 0.32 + +----------------------------- +Total number of cells containing j balls + + j = 0 : 131940795334502 + j = 1 : 599997236 + j = 2 : 1382 + j = 3 : 0 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:05:44.71 + +Generator state: +N/A + + + +*********************************************************** +Test smarsa_CollisionOver calling smultin_MultinomialOver + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +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 : 1378 +p-value of test : 0.36 + +----------------------------- +Total number of cells containing j balls + + j = 0 : 131940795334498 + j = 1 : 599997244 + j = 2 : 1378 + j = 3 : 0 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:05:53.44 + +Generator state: +N/A + + + +*********************************************************** +Test smarsa_CollisionOver calling smultin_MultinomialOver + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +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 : 1406 +p-value of test : 0.13 + +----------------------------- +Total number of cells containing j balls + + j = 0 : 131940795334526 + j = 1 : 599997188 + j = 2 : 1406 + j = 3 : 0 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:06:00.03 + +Generator state: +N/A + + + +*********************************************************** +Test smarsa_CollisionOver calling smultin_MultinomialOver + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +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 : 1326 +p-value of test : 0.85 + +----------------------------- +Total number of cells containing j balls + + j = 0 : 131940795334446 + j = 1 : 599997348 + j = 2 : 1326 + j = 3 : 0 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:05:22.67 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +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 : 5441 +p-value of test : 0.39 + + +----------------------------------------------- +CPU time used : 00:04:27.51 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +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 : 4421 +p-value of test : 0.10 + + +----------------------------------------------- +CPU time used : 00:01:56.13 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +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 : 7257 +p-value of test : 0.76 + + +----------------------------------------------- +CPU time used : 00:03:14.34 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +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 : 4363 +p-value of test : 0.35 + + +----------------------------------------------- +CPU time used : 00:02:22.39 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +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 : 4418 +p-value of test : 0.11 + + +----------------------------------------------- +CPU time used : 00:02:31.98 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +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 : 7290 +p-value of test : 0.63 + + +----------------------------------------------- +CPU time used : 00:04:00.56 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +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 : 7385 +p-value of test : 0.22 + + +----------------------------------------------- +CPU time used : 00:03:59.22 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +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 : 7362 +p-value of test : 0.31 + + +----------------------------------------------- +CPU time used : 00:04:57.60 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +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 : 7264 +p-value of test : 0.74 + + +----------------------------------------------- +CPU time used : 00:05:37.30 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +snpair_ClosePairs test: +----------------------------------------------- + N = 30, n = 6000000, r = 0, t = 3, p = 0, m = 30, Torus = TRUE + + +--------------------------------------- +Test based on the 2 nearest points (NP): + +Stat. AD on the N values (NP) : 0.65 +p-value of test : 0.60 + + +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) : 0.83 +p-value of test : 0.46 + +Test on the Nm values of W_{n,i}(mNP1): 2.98 +p-value of test : 0.03 + +Test on the jump times of Y + (superposition of Yn): + +Expected number of jumps of Y = mN : 900 +Number of jumps of Y : 948 +p-value of test : 0.06 + +Stat. AD (mNP2) : 1.73 +p-value of test : 0.13 + +Stat. AD after spacings (mNP2-S) : 0.85 +p-value of test : 0.45 + +----------------------------------------------- +CPU time used : 00:03:14.19 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +snpair_ClosePairs test: +----------------------------------------------- + N = 20, n = 4000000, r = 0, t = 5, p = 0, m = 30, Torus = TRUE + + +--------------------------------------- +Test based on the 2 nearest points (NP): + +Stat. AD on the N values (NP) : 1.00 +p-value of test : 0.35 + + +A2 test based on the spacings between the + successive jump times of process Y_n(t): + +A2 test on the values of A2 (m-NP) : 1.71 +p-value of test : 0.13 + +Test on the Nm values of W_{n,i}(mNP1): 1.03 +p-value of test : 0.34 + +Test on the jump times of Y + (superposition of Yn): + +Expected number of jumps of Y = mN : 600 +Number of jumps of Y : 578 +p-value of test : 0.81 + +Stat. AD (mNP2) : 0.54 +p-value of test : 0.71 + +Stat. AD after spacings (mNP2-S) : 0.45 +p-value of test : 0.79 + +----------------------------------------------- +CPU time used : 00:02:11.25 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +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) : 2.45 +p-value of test : 0.05 + + +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) : 2.12 +p-value of test : 0.08 + +Test on the Nm values of W_{n,i}(mNP1): 1.25 +p-value of test : 0.25 + +Test on the jump times of Y + (superposition of Yn): + +Expected number of jumps of Y = mN : 300 +Number of jumps of Y : 289 +p-value of test : 0.73 + +Stat. AD (mNP2) : 2.77 +p-value of test : 0.04 + +Stat. AD after spacings (mNP2-S) : 0.87 +p-value of test : 0.44 + +----------------------------------------------- +CPU time used : 00:03:00.61 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +snpair_ClosePairs test: +----------------------------------------------- + N = 5, n = 2000000, r = 0, t = 16, p = 0, m = 30, Torus = TRUE + + +--------------------------------------- +Test based on the 2 nearest points (NP): + +Stat. AD on the N values (NP) : 0.58 +p-value of test : 0.66 + + +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) : 0.77 +p-value of test : 0.49 + +Test on the Nm values of W_{n,i}(mNP1): 1.01 +p-value of test : 0.35 + +Test on the jump times of Y + (superposition of Yn): + +Expected number of jumps of Y = mN : 150 +Number of jumps of Y : 161 +p-value of test : 0.19 + +Stat. AD (mNP2) : 0.29 +p-value of test : 0.95 + +Stat. AD after spacings (mNP2-S) : 0.72 +p-value of test : 0.54 + +----------------------------------------------- +CPU time used : 00:03:16.10 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sknuth_SimpPoker test: +----------------------------------------------- + N = 1, n = 400000000, r = 0, d = 8, k = 8 + + +----------------------------------------------- +Number of degrees of freedom : 7 +Chi-square statistic : 0.32 +p-value of test : 0.9999 ***** + +----------------------------------------------- +CPU time used : 00:01:17.28 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sknuth_SimpPoker test: +----------------------------------------------- + N = 1, n = 400000000, r = 27, d = 8, k = 8 + + +----------------------------------------------- +Number of degrees of freedom : 7 +Chi-square statistic : 10.67 +p-value of test : 0.15 + +----------------------------------------------- +CPU time used : 00:01:31.35 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sknuth_SimpPoker test: +----------------------------------------------- + N = 1, n = 100000000, r = 0, d = 32, k = 32 + + +----------------------------------------------- +Number of degrees of freedom : 18 +Chi-square statistic : 18.51 +p-value of test : 0.42 + +----------------------------------------------- +CPU time used : 00:01:16.51 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sknuth_SimpPoker test: +----------------------------------------------- + N = 1, n = 100000000, r = 25, d = 32, k = 32 + + +----------------------------------------------- +Number of degrees of freedom : 18 +Chi-square statistic : 20.49 +p-value of test : 0.31 + +----------------------------------------------- +CPU time used : 00:01:30.88 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sknuth_CouponCollector test: +----------------------------------------------- + N = 1, n = 200000000, r = 0, d = 8 + + +----------------------------------------------- +Number of degrees of freedom : 54 +Chi-square statistic : 61.87 +p-value of test : 0.22 + +----------------------------------------------- +CPU time used : 00:01:42.81 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sknuth_CouponCollector test: +----------------------------------------------- + N = 1, n = 200000000, r = 10, d = 8 + + +----------------------------------------------- +Number of degrees of freedom : 54 +Chi-square statistic : 32.45 +p-value of test : 0.9912 + +----------------------------------------------- +CPU time used : 00:01:56.89 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sknuth_CouponCollector test: +----------------------------------------------- + N = 1, n = 200000000, r = 20, d = 8 + + +----------------------------------------------- +Number of degrees of freedom : 54 +Chi-square statistic : 50.89 +p-value of test : 0.59 + +----------------------------------------------- +CPU time used : 00:01:59.28 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sknuth_CouponCollector test: +----------------------------------------------- + N = 1, n = 200000000, r = 27, d = 8 + + +----------------------------------------------- +Number of degrees of freedom : 54 +Chi-square statistic : 56.98 +p-value of test : 0.36 + +----------------------------------------------- +CPU time used : 00:01:57.72 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sknuth_Gap test: +----------------------------------------------- + N = 1, n = 500000000, r = 0, Alpha = 0, Beta = 0.0625 + + +----------------------------------------------- +Number of degrees of freedom : 232 +Chi-square statistic : 193.95 +p-value of test : 0.97 + +----------------------------------------------- +CPU time used : 00:02:10.30 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sknuth_Gap test: +----------------------------------------------- + N = 1, n = 300000000, r = 25, Alpha = 0, Beta = 0.03125 + + +----------------------------------------------- +Number of degrees of freedom : 434 +Chi-square statistic : 454.43 +p-value of test : 0.24 + +----------------------------------------------- +CPU time used : 00:02:58.42 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sknuth_Gap test: +----------------------------------------------- + N = 1, n = 100000000, r = 0, Alpha = 0, Beta = 0.0078125 + + +----------------------------------------------- +Number of degrees of freedom : 1437 +Chi-square statistic : 1476.45 +p-value of test : 0.23 + +----------------------------------------------- +CPU time used : 00:03:08.10 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sknuth_Gap test: +----------------------------------------------- + N = 1, n = 10000000, r = 20, Alpha = 0, Beta = 0.000976562 + + +----------------------------------------------- +Number of degrees of freedom : 7046 +Chi-square statistic : 7241.10 +p-value of test : 0.05 + +----------------------------------------------- +CPU time used : 00:03:00.22 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sknuth_Run test: +----------------------------------------------- + N = 5, n = 1000000000, r = 0, Up = FALSE + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.35 +p-value of test : 0.25 + +Kolmogorov-Smirnov- statistic = D- : 0.13 +p-value of test : 0.78 + +Anderson-Darling statistic = A2 : 0.73 +p-value of test : 0.53 + +Test on the sum of all N observations +Number of degrees of freedom : 30 +Chi-square statistic : 22.77 +p-value of test : 0.82 + +----------------------------------------------- +CPU time used : 00:01:43.90 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sknuth_Run test: +----------------------------------------------- + N = 10, n = 1000000000, r = 15, Up = TRUE + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.15 +p-value of test : 0.59 + +Kolmogorov-Smirnov- statistic = D- : 0.13 +p-value of test : 0.66 + +Anderson-Darling statistic = A2 : 0.41 +p-value of test : 0.84 + +Test on the sum of all N observations +Number of degrees of freedom : 60 +Chi-square statistic : 59.80 +p-value of test : 0.48 + +----------------------------------------------- +CPU time used : 00:04:09.72 + +Generator state: +N/A + + + +*********************************************************** +Test sknuth_Permutation calling smultin_Multinomial + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +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 : 3.62 +p-value of test : 0.61 + + +----------------------------------------------- +CPU time used : 00:01:10.95 + +Generator state: +N/A + + + +*********************************************************** +Test sknuth_Permutation calling smultin_Multinomial + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +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 : 120.91 +p-value of test : 0.43 + + +----------------------------------------------- +CPU time used : 00:02:05.76 + +Generator state: +N/A + + + +*********************************************************** +Test sknuth_Permutation calling smultin_Multinomial + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +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 : 4958.56 +p-value of test : 0.79 + + +----------------------------------------------- +CPU time used : 00:01:31.87 + +Generator state: +N/A + + + +*********************************************************** +Test sknuth_Permutation calling smultin_Multinomial + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +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 : 0.66 + + +----------------------------------------------- +CPU time used : 00:03:05.04 + +Generator state: +N/A + + + +*********************************************************** +Test sknuth_CollisionPermut calling smultin_Multinomial + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +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 : 46291 +p-value of test : 0.03 + + +----------------------------- +Total number of cells containing j balls + + j = 0 : 1743165870291 + j = 1 : 399907422 + j = 2 : 46283 + j = 3 : 4 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:04:22.84 + +Generator state: +N/A + + + +*********************************************************** +Test sknuth_CollisionPermut calling smultin_Multinomial + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +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 : 45938 +p-value of test : 0.39 + + +----------------------------- +Total number of cells containing j balls + + j = 0 : 1743165869938 + j = 1 : 399908127 + j = 2 : 45932 + j = 3 : 3 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:04:47.79 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +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+ : 0.046 +p-value of test : 0.82 + +Kolmogorov-Smirnov- statistic = D- : 0.098 +p-value of test : 0.44 + +Anderson-Darling statistic = A2 : 0.55 +p-value of test : 0.69 + +Test on the sum of all N observations +Number of degrees of freedom : 3999960 +Chi-square statistic : 4.00e+6 +p-value of test : 0.31 + + +----------------------------------------------- +Test results for Anderson-Darling: + +Kolmogorov-Smirnov+ statistic = D+ : 0.097 +p-value of test : 0.44 + +Kolmogorov-Smirnov- statistic = D- : 0.065 +p-value of test : 0.68 + +Anderson-Darling statistic = A2 : 0.63 +p-value of test : 0.61 + + +----------------------------------------------- +CPU time used : 00:03:24.68 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +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+ : 0.13 +p-value of test : 0.34 + +Kolmogorov-Smirnov- statistic = D- : 0.076 +p-value of test : 0.67 + +Anderson-Darling statistic = A2 : 0.50 +p-value of test : 0.75 + +Test on the sum of all N observations +Number of degrees of freedom : 2999970 +Chi-square statistic : 3.00e+6 +p-value of test : 0.63 + + +----------------------------------------------- +Test results for Anderson-Darling: + +Kolmogorov-Smirnov+ statistic = D+ : 0.16 +p-value of test : 0.21 + +Kolmogorov-Smirnov- statistic = D- : 0.081 +p-value of test : 0.64 + +Anderson-Darling statistic = A2 : 0.64 +p-value of test : 0.61 + + +----------------------------------------------- +CPU time used : 00:03:12.34 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +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+ : 0.22 +p-value of test : 0.13 + +Kolmogorov-Smirnov- statistic = D- : 0.034 +p-value of test : 0.93 + +Anderson-Darling statistic = A2 : 0.94 +p-value of test : 0.39 + +Test on the sum of all N observations +Number of degrees of freedom : 1999980 +Chi-square statistic : 2.00e+6 +p-value of test : 0.88 + + +----------------------------------------------- +Test results for Anderson-Darling: + +Kolmogorov-Smirnov+ statistic = D+ : 0.22 +p-value of test : 0.13 + +Kolmogorov-Smirnov- statistic = D- : 0.044 +p-value of test : 0.90 + +Anderson-Darling statistic = A2 : 0.72 +p-value of test : 0.54 + + +----------------------------------------------- +CPU time used : 00:02:34.07 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +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+ : 0.21 +p-value of test : 0.14 + +Kolmogorov-Smirnov- statistic = D- : 0.13 +p-value of test : 0.49 + +Anderson-Darling statistic = A2 : 0.88 +p-value of test : 0.43 + +Test on the sum of all N observations +Number of degrees of freedom : 1999980 +Chi-square statistic : 2.00e+6 +p-value of test : 0.55 + + +----------------------------------------------- +Test results for Anderson-Darling: + +Kolmogorov-Smirnov+ statistic = D+ : 0.13 +p-value of test : 0.47 + +Kolmogorov-Smirnov- statistic = D- : 0.16 +p-value of test : 0.34 + +Anderson-Darling statistic = A2 : 0.62 +p-value of test : 0.63 + + +----------------------------------------------- +CPU time used : 00:02:52.93 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +svaria_SampleProd test: +----------------------------------------------- + N = 40, n = 10000000, r = 0, t = 8 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.28 +p-value of test : 1.5e-3 + +Kolmogorov-Smirnov- statistic = D- : 0.045 +p-value of test : 0.83 + +Anderson-Darling statistic = A2 : 3.36 +p-value of test : 0.02 + +----------------------------------------------- +CPU time used : 00:02:25.71 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +svaria_SampleProd test: +----------------------------------------------- + N = 20, n = 10000000, r = 0, t = 16 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.19 +p-value of test : 0.20 + +Kolmogorov-Smirnov- statistic = D- : 9.32e-3 +p-value of test : 0.99 + +Anderson-Darling statistic = A2 : 1.74 +p-value of test : 0.13 + +----------------------------------------------- +CPU time used : 00:01:44.06 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +svaria_SampleProd test: +----------------------------------------------- + N = 20, n = 10000000, r = 0, t = 24 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.040 +p-value of test : 0.91 + +Kolmogorov-Smirnov- statistic = D- : 0.12 +p-value of test : 0.50 + +Anderson-Darling statistic = A2 : 0.35 +p-value of test : 0.90 + +----------------------------------------------- +CPU time used : 00:02:13.35 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +svaria_SampleMean test: +----------------------------------------------- + N = 20000000, n = 30, r = 0 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 1.19e-4 +p-value of test : 0.57 + +Kolmogorov-Smirnov- statistic = D- : 9.42e-5 +p-value of test : 0.70 + +Anderson-Darling statistic = A2 : 0.30 +p-value of test : 0.93 + +----------------------------------------------- +CPU time used : 00:00:32.43 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +svaria_SampleMean test: +----------------------------------------------- + N = 20000000, n = 30, r = 10 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 1.31e-4 +p-value of test : 0.50 + +Kolmogorov-Smirnov- statistic = D- : 2.56e-4 +p-value of test : 0.07 + +Anderson-Darling statistic = A2 : 1.32 +p-value of test : 0.23 + +----------------------------------------------- +CPU time used : 00:00:33.90 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +svaria_SampleCorr test: +----------------------------------------------- + N = 1, n = 2000000000, r = 0, k = 1 + + +----------------------------------------------- +Normal statistic : -0.69 +p-value of test : 0.75 + +----------------------------------------------- +CPU time used : 00:00:28.89 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +svaria_SampleCorr test: +----------------------------------------------- + N = 1, n = 2000000000, r = 0, k = 2 + + +----------------------------------------------- +Normal statistic : 0.42 +p-value of test : 0.34 + +----------------------------------------------- +CPU time used : 00:00:31.28 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +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 : 0.57 +p-value of test : 0.28 + +----------------------------------------------- +CPU time used : 00:02:02.35 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +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 : -0.29 +p-value of test : 0.61 + +----------------------------------------------- +CPU time used : 00:02:10.32 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +svaria_WeightDistrib test: +----------------------------------------------- + N = 1, n = 20000000, r = 0, k = 256, Alpha = 0, Beta = 0.25 + + +----------------------------------------------- +Number of degrees of freedom : 67 +Chi-square statistic : 43.47 +p-value of test : 0.99 + +----------------------------------------------- +CPU time used : 00:01:20.62 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +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 : 78.98 +p-value of test : 0.15 + +----------------------------------------------- +CPU time used : 00:01:41.59 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +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 : 66.93 +p-value of test : 0.48 + +----------------------------------------------- +CPU time used : 00:01:41.38 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +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 : 28.48 +p-value of test : 0.84 + +----------------------------------------------- +CPU time used : 00:01:22.32 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +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 : 30.46 +p-value of test : 0.77 + +----------------------------------------------- +CPU time used : 00:01:38.57 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +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 : 33.93 +p-value of test : 0.61 + +----------------------------------------------- +CPU time used : 00:01:41.54 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +svaria_SumCollector test: +----------------------------------------------- + N = 1, n = 500000000, r = 0, g = 10 + + +----------------------------------------------- +Number of degrees of freedom : 29 +Chi-square statistic : 33.00 +p-value of test : 0.28 + +----------------------------------------------- +CPU time used : 00:02:42.81 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +smarsa_MatrixRank test: +----------------------------------------------- + N = 10, n = 1000000, r = 0, s = 5, L = 30, k = 30 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.33 +p-value of test : 0.08 + +Kolmogorov-Smirnov- statistic = D- : 7.27e-3 +p-value of test : 0.9922 + +Anderson-Darling statistic = A2 : 2.23 +p-value of test : 0.07 + +Test on the sum of all N observations +Number of degrees of freedom : 40 +Chi-square statistic : 23.85 +p-value of test : 0.98 + +----------------------------------------------- +CPU time used : 00:01:26.70 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +smarsa_MatrixRank test: +----------------------------------------------- + N = 10, n = 1000000, r = 25, s = 5, L = 30, k = 30 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.062 +p-value of test : 0.89 + +Kolmogorov-Smirnov- statistic = D- : 0.34 +p-value of test : 0.07 + +Anderson-Darling statistic = A2 : 1.34 +p-value of test : 0.22 + +Test on the sum of all N observations +Number of degrees of freedom : 40 +Chi-square statistic : 47.76 +p-value of test : 0.19 + +----------------------------------------------- +CPU time used : 00:01:33.67 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +smarsa_MatrixRank test: +----------------------------------------------- + N = 1, n = 5000, r = 0, s = 4, L = 1000, k = 1000 + + +----------------------------------------------- +Number of degrees of freedom : 3 +Chi-square statistic : 4.19 +p-value of test : 0.24 + +----------------------------------------------- +CPU time used : 00:02:22.57 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +smarsa_MatrixRank test: +----------------------------------------------- + N = 1, n = 5000, r = 26, s = 4, L = 1000, k = 1000 + + +----------------------------------------------- +Number of degrees of freedom : 3 +Chi-square statistic : 2.41 +p-value of test : 0.49 + +----------------------------------------------- +CPU time used : 00:02:16.57 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +smarsa_MatrixRank test: +----------------------------------------------- + N = 1, n = 80, r = 15, s = 15, L = 5000, k = 5000 + + +----------------------------------------------- +Number of degrees of freedom : 2 +Chi-square statistic : 3.12 +p-value of test : 0.21 + +----------------------------------------------- +CPU time used : 00:01:32.73 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +smarsa_MatrixRank test: +----------------------------------------------- + N = 1, n = 80, r = 0, s = 30, L = 5000, k = 5000 + + +----------------------------------------------- +Number of degrees of freedom : 2 +Chi-square statistic : 1.82 +p-value of test : 0.40 + +----------------------------------------------- +CPU time used : 00:01:17.47 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +smarsa_Savir2 test: +----------------------------------------------- + N = 10, n = 10000000, r = 10, m = 1048576, t = 30 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.018 +p-value of test : 0.98 + +Kolmogorov-Smirnov- statistic = D- : 0.51 +p-value of test : 2.8e-3 + +Anderson-Darling statistic = A2 : 3.57 +p-value of test : 0.01 + +Test on the sum of all N observations +Number of degrees of freedom : 130 +Chi-square statistic : 165.44 +p-value of test : 0.02 + +----------------------------------------------- +CPU time used : 00:01:01.79 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +smarsa_GCD test: +----------------------------------------------- + N = 10, n = 50000000, r = 0, s = 30 + + +----------------------------------------------- +Test results for GCD values: + +Kolmogorov-Smirnov+ statistic = D+ : 0.083 +p-value of test : 0.83 + +Kolmogorov-Smirnov- statistic = D- : 0.37 +p-value of test : 0.05 + +Anderson-Darling statistic = A2 : 1.37 +p-value of test : 0.21 + +Test on the sum of all N observations +Number of degrees of freedom : 17430 +Chi-square statistic :17681.10 +p-value of test : 0.09 + + + +----------------------------------------------- +CPU time used : 00:01:55.61 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +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 : 29.42 +p-value of test : 0.77 + + +----------------------------------------------- +Test on the values of the Statistic M + +Number of degrees of freedom : 35 +ChiSquare statistic : 37.42 +p-value of test : 0.36 + + +----------------------------------------------- +Test on the values of the Statistic J + +Number of degrees of freedom : 25 +ChiSquare statistic : 22.81 +p-value of test : 0.59 + + +----------------------------------------------- +Test on the values of the Statistic R + +Number of degrees of freedom : 24 +ChiSquare statistic : 13.86 +p-value of test : 0.95 + + +----------------------------------------------- +Test on the values of the Statistic C + +Number of degrees of freedom : 17 +ChiSquare statistic : 14.86 +p-value of test : 0.61 + + +----------------------------------------------- +CPU time used : 00:00:50.87 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +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 : 31.02 +p-value of test : 0.70 + + +----------------------------------------------- +Test on the values of the Statistic M + +Number of degrees of freedom : 35 +ChiSquare statistic : 26.18 +p-value of test : 0.86 + + +----------------------------------------------- +Test on the values of the Statistic J + +Number of degrees of freedom : 25 +ChiSquare statistic : 32.19 +p-value of test : 0.15 + + +----------------------------------------------- +Test on the values of the Statistic R + +Number of degrees of freedom : 24 +ChiSquare statistic : 29.36 +p-value of test : 0.21 + + +----------------------------------------------- +Test on the values of the Statistic C + +Number of degrees of freedom : 17 +ChiSquare statistic : 16.10 +p-value of test : 0.52 + + +----------------------------------------------- +CPU time used : 00:00:52.06 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +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 : 140.98 +p-value of test : 0.60 + + +----------------------------------------------- +Test on the values of the Statistic M + +Number of degrees of freedom : 146 +ChiSquare statistic : 145.85 +p-value of test : 0.49 + + +----------------------------------------------- +Test on the values of the Statistic J + +Number of degrees of freedom : 500 +ChiSquare statistic : 488.81 +p-value of test : 0.63 + + +----------------------------------------------- +Test on the values of the Statistic R + +Number of degrees of freedom : 136 +ChiSquare statistic : 125.51 +p-value of test : 0.73 + + +----------------------------------------------- +Test on the values of the Statistic C + +Number of degrees of freedom : 74 +ChiSquare statistic : 92.01 +p-value of test : 0.08 + + +----------------------------------------------- +CPU time used : 00:00:59.93 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +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 : 158.78 +p-value of test : 0.22 + + +----------------------------------------------- +Test on the values of the Statistic M + +Number of degrees of freedom : 146 +ChiSquare statistic : 162.06 +p-value of test : 0.17 + + +----------------------------------------------- +Test on the values of the Statistic J + +Number of degrees of freedom : 500 +ChiSquare statistic : 514.96 +p-value of test : 0.31 + + +----------------------------------------------- +Test on the values of the Statistic R + +Number of degrees of freedom : 136 +ChiSquare statistic : 113.03 +p-value of test : 0.92 + + +----------------------------------------------- +Test on the values of the Statistic C + +Number of degrees of freedom : 74 +ChiSquare statistic : 76.39 +p-value of test : 0.40 + + +----------------------------------------------- +CPU time used : 00:00:58.37 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +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 : 476.81 +p-value of test : 8.6e-4 ***** + + +----------------------------------------------- +Test on the values of the Statistic M + +Number of degrees of freedom : 384 +ChiSquare statistic : 360.01 +p-value of test : 0.81 + + +----------------------------------------------- +Test on the values of the Statistic J + +Number of degrees of freedom : 5000 +ChiSquare statistic : 5095.55 +p-value of test : 0.17 + + +----------------------------------------------- +Test on the values of the Statistic R + +Number of degrees of freedom : 378 +ChiSquare statistic : 389.90 +p-value of test : 0.33 + + +----------------------------------------------- +Test on the values of the Statistic C + +Number of degrees of freedom : 200 +ChiSquare statistic : 191.48 +p-value of test : 0.65 + + +----------------------------------------------- +CPU time used : 00:00:49.17 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +swalk_RandomWalk1 test: +----------------------------------------------- + N = 1, n = 1000000, r = 15, s = 15, L0 = 10000, L1 = 10000 + + + +----------------------------------------------- +Test on the values of the Statistic H + +Number of degrees of freedom : 384 +ChiSquare statistic : 412.32 +p-value of test : 0.15 + + +----------------------------------------------- +Test on the values of the Statistic M + +Number of degrees of freedom : 384 +ChiSquare statistic : 376.91 +p-value of test : 0.59 + + +----------------------------------------------- +Test on the values of the Statistic J + +Number of degrees of freedom : 5000 +ChiSquare statistic : 4896.52 +p-value of test : 0.85 + + +----------------------------------------------- +Test on the values of the Statistic R + +Number of degrees of freedom : 378 +ChiSquare statistic : 404.35 +p-value of test : 0.17 + + +----------------------------------------------- +Test on the values of the Statistic C + +Number of degrees of freedom : 200 +ChiSquare statistic : 191.43 +p-value of test : 0.66 + + +----------------------------------------------- +CPU time used : 00:00:47.71 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +scomp_LinearComp test: +----------------------------------------------- + N = 1, n = 400020, r = 0, s = 1 + + + +----------------------------------------------- +Number of degrees of freedom : 12 +Chi2 statistic for size of jumps : 19.82 +p-value of test : 0.07 + + +----------------------------------------------- +Normal statistic for number of jumps : 2.80 +p-value of test : 2.6e-3 + + + +----------------------------------------------- +CPU time used : 00:02:23.35 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +scomp_LinearComp test: +----------------------------------------------- + N = 1, n = 400020, r = 29, s = 1 + + + +----------------------------------------------- +Number of degrees of freedom : 12 +Chi2 statistic for size of jumps : 18.32 +p-value of test : 0.11 + + +----------------------------------------------- +Normal statistic for number of jumps : -0.46 +p-value of test : 0.68 + + + +----------------------------------------------- +CPU time used : 00:02:24.12 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +scomp_LempelZiv test: +----------------------------------------------- + N = 10, n = 134217728, r = 0, s = 30, k = 27 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.10 +p-value of test : 0.76 + +Kolmogorov-Smirnov- statistic = D- : 0.35 +p-value of test : 0.06 + +Anderson-Darling statistic = A2 : 1.77 +p-value of test : 0.12 + +Tests on the sum of all N observations +Standardized normal statistic : 1.40 +p-value of test : 0.08 + +Sample variance : 0.75 +p-value of test : 0.67 + +----------------------------------------------- +CPU time used : 00:01:00.18 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +scomp_LempelZiv test: +----------------------------------------------- + N = 10, n = 134217728, r = 15, s = 15, k = 27 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.19 +p-value of test : 0.44 + +Kolmogorov-Smirnov- statistic = D- : 0.065 +p-value of test : 0.88 + +Anderson-Darling statistic = A2 : 0.56 +p-value of test : 0.69 + +Tests on the sum of all N observations +Standardized normal statistic : -0.78 +p-value of test : 0.78 + +Sample variance : 0.92 +p-value of test : 0.51 + +----------------------------------------------- +CPU time used : 00:01:06.23 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sspectral_Fourier3 test: +----------------------------------------------- + N = 100000, n = 16384, r = 0, s = 3, k = 14 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.010 +p-value of test : 0.43 + +Kolmogorov-Smirnov- statistic = D- : 4.09e-3 +p-value of test : 0.87 + +Anderson-Darling statistic = A2 : 0.68 +p-value of test : 0.58 + +----------------------------------------------- +CPU time used : 00:00:47.78 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sspectral_Fourier3 test: +----------------------------------------------- + N = 100000, n = 16384, r = 27, s = 3, k = 14 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 8.32e-3 +p-value of test : 0.56 + +Kolmogorov-Smirnov- statistic = D- : 5.56e-3 +p-value of test : 0.77 + +Anderson-Darling statistic = A2 : 0.29 +p-value of test : 0.95 + +----------------------------------------------- +CPU time used : 00:00:47.13 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sstring_LongestHeadRun test: +----------------------------------------------- + N = 1, n = 1000, r = 0, s = 3, L = 10000020 + + +----------------------------------------------- +Number of degrees of freedom : 8 +Chi-square statistic : 9.30 +p-value of test : 0.32 + +----------------------------------------------- +Global longest run of 1 : 32.00 +p-value of test : 0.50 + + + +----------------------------------------------- +CPU time used : 00:01:41.18 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sstring_LongestHeadRun test: +----------------------------------------------- + N = 1, n = 1000, r = 27, s = 3, L = 10000020 + + +----------------------------------------------- +Number of degrees of freedom : 8 +Chi-square statistic : 10.47 +p-value of test : 0.23 + +----------------------------------------------- +Global longest run of 1 : 30.00 +p-value of test : 0.90 + + + +----------------------------------------------- +CPU time used : 00:01:43.10 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sstring_PeriodsInStrings test: +----------------------------------------------- + N = 10, n = 500000000, r = 0, s = 10 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.30 +p-value of test : 0.13 + +Kolmogorov-Smirnov- statistic = D- : 0.10 +p-value of test : 0.76 + +Anderson-Darling statistic = A2 : 1.45 +p-value of test : 0.19 + +Test on the sum of all N observations +Number of degrees of freedom : 200 +Chi-square statistic : 173.14 +p-value of test : 0.92 + +----------------------------------------------- +CPU time used : 00:02:47.20 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sstring_PeriodsInStrings test: +----------------------------------------------- + N = 10, n = 500000000, r = 20, s = 10 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.048 +p-value of test : 0.93 + +Kolmogorov-Smirnov- statistic = D- : 0.31 +p-value of test : 0.11 + +Anderson-Darling statistic = A2 : 2.44 +p-value of test : 0.05 + +Test on the sum of all N observations +Number of degrees of freedom : 200 +Chi-square statistic : 243.67 +p-value of test : 0.02 + +----------------------------------------------- +CPU time used : 00:02:49.40 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sstring_HammingWeight2 test: +----------------------------------------------- + N = 10, n = 1000000000, r = 0, s = 3, L = 1000000 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.34 +p-value of test : 0.08 + +Kolmogorov-Smirnov- statistic = D- : 0.014 +p-value of test : 0.98 + +Anderson-Darling statistic = A2 : 1.73 +p-value of test : 0.13 + +Test on the sum of all N observations +Number of degrees of freedom : 10000 +Chi-square statistic : 9755.01 +p-value of test : 0.96 + +----------------------------------------------- +CPU time used : 00:01:05.84 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sstring_HammingWeight2 test: +----------------------------------------------- + N = 10, n = 1000000000, r = 27, s = 3, L = 1000000 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.089 +p-value of test : 0.81 + +Kolmogorov-Smirnov- statistic = D- : 0.40 +p-value of test : 0.03 + +Anderson-Darling statistic = A2 : 2.00 +p-value of test : 0.09 + +Test on the sum of all N observations +Number of degrees of freedom : 10000 +Chi-square statistic :10219.87 +p-value of test : 0.06 + +----------------------------------------------- +CPU time used : 00:01:06.29 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sstring_HammingCorr test: +----------------------------------------------- + N = 1, n = 1000000000, r = 10, s = 10, L = 30 + + + +----------------------------------------------- +Normal statistic : 0.47 +p-value of test : 0.32 + +----------------------------------------------- +CPU time used : 00:01:21.62 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sstring_HammingCorr test: +----------------------------------------------- + N = 1, n = 100000000, r = 10, s = 10, L = 300 + + + +----------------------------------------------- +Normal statistic : -0.40 +p-value of test : 0.66 + +----------------------------------------------- +CPU time used : 00:01:19.22 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sstring_HammingCorr test: +----------------------------------------------- + N = 1, n = 100000000, r = 10, s = 10, L = 1200 + + + +----------------------------------------------- +Normal statistic : 0.57 +p-value of test : 0.28 + +----------------------------------------------- +CPU time used : 00:05:13.55 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sstring_HammingIndep test: +----------------------------------------------- + N = 10, n = 30000000, r = 0, s = 3, L = 30, d = 0 + + + +Counters with expected numbers >= 10 +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.17 +p-value of test : 0.52 + +Kolmogorov-Smirnov- statistic = D- : 0.17 +p-value of test : 0.51 + +Anderson-Darling statistic = A2 : 0.44 +p-value of test : 0.81 + +Test on the sum of all N observations +Number of degrees of freedom : 4890 +Chi-square statistic : 4866.90 +p-value of test : 0.59 + +----------------------------------------------- +CPU time used : 00:02:09.53 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sstring_HammingIndep test: +----------------------------------------------- + N = 10, n = 30000000, r = 27, s = 3, L = 30, d = 0 + + + +Counters with expected numbers >= 10 +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.42 +p-value of test : 0.02 + +Kolmogorov-Smirnov- statistic =
<TRUNCATED>
