http://git-wip-us.apache.org/repos/asf/commons-math/blob/6ddf4769/src/site/resources/txt/userguide/rng/stress/tu/run_2/tu_11 ---------------------------------------------------------------------- diff --git a/src/site/resources/txt/userguide/rng/stress/tu/run_2/tu_11 b/src/site/resources/txt/userguide/rng/stress/tu/run_2/tu_11 new file mode 100644 index 0000000..737267e --- /dev/null +++ b/src/site/resources/txt/userguide/rng/stress/tu/run_2/tu_11 @@ -0,0 +1,3795 @@ +# +# RNG: org.apache.commons.math4.rng.internal.source64.SplitMix64 +# +# 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 : 0.72 + + +----------------------------------------------- +CPU time used : 00:02:30.11 + +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 : 0.66 + + +----------------------------------------------- +CPU time used : 00:02:33.92 + +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 : 1348 +p-value of test : 0.66 + +----------------------------- +Total number of cells containing j balls + + j = 0 : 131940795334468 + j = 1 : 599997304 + j = 2 : 1348 + j = 3 : 0 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:05:24.83 + +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 : 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 : 00:05:02.54 + +Generator state: +N/A + + + +*********************************************************** +Test smarsa_CollisionOver calling smultin_MultinomialOver + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +smultin_MultinomialOver test: +----------------------------------------------- + N = 30, n = 20000000, r = 0, d = 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 : 1375 +p-value of test : 0.39 + +----------------------------- +Total number of cells containing j balls + + j = 0 : 131940795334495 + j = 1 : 599997250 + j = 2 : 1375 + j = 3 : 0 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:07:52.97 + +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 : 1353 +p-value of test : 0.61 + +----------------------------- +Total number of cells containing j balls + + j = 0 : 131940795334473 + j = 1 : 599997294 + j = 2 : 1353 + j = 3 : 0 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:06:21.28 + +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 : 1330 +p-value of test : 0.82 + +----------------------------- +Total number of cells containing j balls + + j = 0 : 131940795334450 + j = 1 : 599997340 + j = 2 : 1330 + j = 3 : 0 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:07:13.21 + +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 : 1386 +p-value of test : 0.28 + +----------------------------- +Total number of cells containing j balls + + j = 0 : 131940795334506 + j = 1 : 599997228 + j = 2 : 1386 + j = 3 : 0 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:07:41.50 + +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 : 1408 +p-value of test : 0.12 + +----------------------------- +Total number of cells containing j balls + + j = 0 : 131940795334528 + j = 1 : 599997184 + j = 2 : 1408 + j = 3 : 0 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:07:15.63 + +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 : 1325 +p-value of test : 0.85 + +----------------------------- +Total number of cells containing j balls + + j = 0 : 131940795334445 + j = 1 : 599997350 + j = 2 : 1325 + j = 3 : 0 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:06:28.63 + +Generator state: +N/A + + + +*********************************************************** +Test smarsa_CollisionOver calling smultin_MultinomialOver + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +smultin_MultinomialOver test: +----------------------------------------------- + N = 30, n = 20000000, r = 0, d = 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 : 1449 +p-value of test : 0.01 + +----------------------------- +Total number of cells containing j balls + + j = 0 : 131940795334569 + j = 1 : 599997102 + j = 2 : 1449 + j = 3 : 0 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:05:48.09 + +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 : 1266 +p-value of test : 0.9963 + +----------------------------- +Total number of cells containing j balls + + j = 0 : 131940795334386 + j = 1 : 599997468 + j = 2 : 1266 + j = 3 : 0 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:07:28.39 + +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 : 5403 +p-value of test : 0.59 + + +----------------------------------------------- +CPU time used : 00:05:17.01 + +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 : 4308 +p-value of test : 0.67 + + +----------------------------------------------- +CPU time used : 00:02:18.02 + +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 : 7367 +p-value of test : 0.29 + + +----------------------------------------------- +CPU time used : 00:03:55.25 + +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 : 4354 +p-value of test : 0.40 + + +----------------------------------------------- +CPU time used : 00:02:52.64 + +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 : 4292 +p-value of test : 0.75 + + +----------------------------------------------- +CPU time used : 00:02:59.94 + +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 : 7333 +p-value of test : 0.43 + + +----------------------------------------------- +CPU time used : 00:04:23.68 + +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 : 7429 +p-value of test : 0.10 + + +----------------------------------------------- +CPU time used : 00:04:06.15 + +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 : 7342 +p-value of test : 0.39 + + +----------------------------------------------- +CPU time used : 00:05:22.17 + +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 : 7306 +p-value of test : 0.55 + + +----------------------------------------------- +CPU time used : 00:05:48.55 + +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) : 2.08 +p-value of test : 0.08 + + +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) : 0.48 +p-value of test : 0.76 + +Test on the Nm values of W_{n,i}(mNP1): 1.67 +p-value of test : 0.14 + +Test on the jump times of Y + (superposition of Yn): + +Expected number of jumps of Y = mN : 900 +Number of jumps of Y : 907 +p-value of test : 0.41 + +Stat. AD (mNP2) : 0.86 +p-value of test : 0.44 + +Stat. AD after spacings (mNP2-S) : 0.98 +p-value of test : 0.37 + +----------------------------------------------- +CPU time used : 00:03:12.11 + +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) : 0.52 +p-value of test : 0.72 + + +A2 test based on the spacings between the + successive jump times of process Y_n(t): + +A2 test on the values of A2 (m-NP) : 0.40 +p-value of test : 0.85 + +Test on the Nm values of W_{n,i}(mNP1): 0.41 +p-value of test : 0.84 + +Test on the jump times of Y + (superposition of Yn): + +Expected number of jumps of Y = mN : 600 +Number of jumps of Y : 585 +p-value of test : 0.72 + +Stat. AD (mNP2) : 1.40 +p-value of test : 0.20 + +Stat. AD after spacings (mNP2-S) : 0.46 +p-value of test : 0.79 + +----------------------------------------------- +CPU time used : 00:02:05.72 + +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) : 0.52 +p-value of test : 0.72 + + +A2 test based on the spacings between the + successive jump times of process Y_n(t): + +A2 test on the values of A2 (m-NP) : 2.25 +p-value of test : 0.07 + +Test on the Nm values of W_{n,i}(mNP1): 0.91 +p-value of test : 0.41 + +Test on the jump times of Y + (superposition of Yn): + +Expected number of jumps of Y = mN : 300 +Number of jumps of Y : 297 +p-value of test : 0.55 + +Stat. AD (mNP2) : 0.59 +p-value of test : 0.66 + +Stat. AD after spacings (mNP2-S) : 1.52 +p-value of test : 0.17 + +----------------------------------------------- +CPU time used : 00:03:19.89 + +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) : 0.32 +p-value of test : 0.92 + + +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) : 3.57 +p-value of test : 0.02 + +Test on the Nm values of W_{n,i}(mNP1): 2.05 +p-value of test : 0.09 + +Test on the jump times of Y + (superposition of Yn): + +Expected number of jumps of Y = mN : 150 +Number of jumps of Y : 174 +p-value of test : 0.03 + +Stat. AD (mNP2) : 0.31 +p-value of test : 0.93 + +Stat. AD after spacings (mNP2-S) : 0.63 +p-value of test : 0.62 + +----------------------------------------------- +CPU time used : 00:03:42.19 + +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 : 3.29 +p-value of test : 0.86 + +----------------------------------------------- +CPU time used : 00:01:15.21 + +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 : 2.36 +p-value of test : 0.94 + +----------------------------------------------- +CPU time used : 00:01:32.34 + +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 : 19.18 +p-value of test : 0.38 + +----------------------------------------------- +CPU time used : 00:01:21.48 + +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 : 17.32 +p-value of test : 0.50 + +----------------------------------------------- +CPU time used : 00:01:32.22 + +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 : 46.54 +p-value of test : 0.75 + +----------------------------------------------- +CPU time used : 00:01:47.30 + +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 : 50.12 +p-value of test : 0.62 + +----------------------------------------------- +CPU time used : 00:01:58.72 + +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 : 62.39 +p-value of test : 0.20 + +----------------------------------------------- +CPU time used : 00:02:00.97 + +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 : 39.31 +p-value of test : 0.93 + +----------------------------------------------- +CPU time used : 00:01:58.77 + +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 : 258.10 +p-value of test : 0.12 + +----------------------------------------------- +CPU time used : 00:02:09.43 + +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 : 412.07 +p-value of test : 0.77 + +----------------------------------------------- +CPU time used : 00:03:15.17 + +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 : 1401.15 +p-value of test : 0.75 + +----------------------------------------------- +CPU time used : 00:03:06.73 + +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 : 7054.89 +p-value of test : 0.47 + +----------------------------------------------- +CPU time used : 00:03:19.04 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sknuth_Run test: +----------------------------------------------- + N = 5, n = 1000000000, r = 0, Up = FALSE + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.21 +p-value of test : 0.57 + +Kolmogorov-Smirnov- statistic = D- : 0.20 +p-value of test : 0.59 + +Anderson-Darling statistic = A2 : 0.34 +p-value of test : 0.90 + +Test on the sum of all N observations +Number of degrees of freedom : 30 +Chi-square statistic : 32.75 +p-value of test : 0.33 + +----------------------------------------------- +CPU time used : 00:01:48.85 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sknuth_Run test: +----------------------------------------------- + N = 10, n = 1000000000, r = 15, Up = TRUE + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.14 +p-value of test : 0.62 + +Kolmogorov-Smirnov- statistic = D- : 0.15 +p-value of test : 0.60 + +Anderson-Darling statistic = A2 : 0.35 +p-value of test : 0.89 + +Test on the sum of all N observations +Number of degrees of freedom : 60 +Chi-square statistic : 56.58 +p-value of test : 0.60 + +----------------------------------------------- +CPU time used : 00:04:14.68 + +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 : 3.29 +p-value of test : 0.66 + + +----------------------------------------------- +CPU time used : 00:01:15.82 + +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 : 133.81 +p-value of test : 0.17 + + +----------------------------------------------- +CPU time used : 00:02:07.10 + +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 : 5209.18 +p-value of test : 0.05 + + +----------------------------------------------- +CPU time used : 00:01:29.17 + +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 : 0.55 + + +----------------------------------------------- +CPU time used : 00:02:58.98 + +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 : 46239 +p-value of test : 0.05 + + +----------------------------- +Total number of cells containing j balls + + j = 0 : 1743165870239 + j = 1 : 399907525 + j = 2 : 46233 + j = 3 : 3 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:04:23.79 + +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 : 46030 +p-value of test : 0.24 + + +----------------------------- +Total number of cells containing j balls + + j = 0 : 1743165870030 + j = 1 : 399907945 + j = 2 : 46020 + j = 3 : 5 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:05:00.10 + +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+ : 0.040 +p-value of test : 0.86 + +Kolmogorov-Smirnov- statistic = D- : 0.14 +p-value of test : 0.18 + +Anderson-Darling statistic = A2 : 1.07 +p-value of test : 0.32 + +Test on the sum of all N observations +Number of degrees of freedom : 3999960 +Chi-square statistic : 4.00e+6 +p-value of test : 0.12 + + +----------------------------------------------- +Test results for Anderson-Darling: + +Kolmogorov-Smirnov+ statistic = D+ : 0.083 +p-value of test : 0.54 + +Kolmogorov-Smirnov- statistic = D- : 0.070 +p-value of test : 0.65 + +Anderson-Darling statistic = A2 : 0.43 +p-value of test : 0.82 + + +----------------------------------------------- +CPU time used : 00:03:34.20 + +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+ : 0.12 +p-value of test : 0.38 + +Kolmogorov-Smirnov- statistic = D- : 0.091 +p-value of test : 0.57 + +Anderson-Darling statistic = A2 : 0.53 +p-value of test : 0.72 + +Test on the sum of all N observations +Number of degrees of freedom : 2999970 +Chi-square statistic : 3.00e+6 +p-value of test : 0.68 + + +----------------------------------------------- +Test results for Anderson-Darling: + +Kolmogorov-Smirnov+ statistic = D+ : 0.19 +p-value of test : 0.09 + +Kolmogorov-Smirnov- statistic = D- : 0.026 +p-value of test : 0.94 + +Anderson-Darling statistic = A2 : 1.58 +p-value of test : 0.16 + + +----------------------------------------------- +CPU time used : 00:03:22.92 + +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+ : 0.25 +p-value of test : 0.07 + +Kolmogorov-Smirnov- statistic = D- : 0.016 +p-value of test : 0.98 + +Anderson-Darling statistic = A2 : 1.50 +p-value of test : 0.18 + +Test on the sum of all N observations +Number of degrees of freedom : 1999980 +Chi-square statistic : 2.00e+6 +p-value of test : 0.94 + + +----------------------------------------------- +Test results for Anderson-Darling: + +Kolmogorov-Smirnov+ statistic = D+ : 0.21 +p-value of test : 0.15 + +Kolmogorov-Smirnov- statistic = D- : 0.10 +p-value of test : 0.63 + +Anderson-Darling statistic = A2 : 0.73 +p-value of test : 0.53 + + +----------------------------------------------- +CPU time used : 00:02:38.59 + +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+ : 0.10 +p-value of test : 0.63 + +Kolmogorov-Smirnov- statistic = D- : 0.11 +p-value of test : 0.58 + +Anderson-Darling statistic = A2 : 0.25 +p-value of test : 0.97 + +Test on the sum of all N observations +Number of degrees of freedom : 1999980 +Chi-square statistic : 2.00e+6 +p-value of test : 0.52 + + +----------------------------------------------- +Test results for Anderson-Darling: + +Kolmogorov-Smirnov+ statistic = D+ : 0.29 +p-value of test : 0.03 + +Kolmogorov-Smirnov- statistic = D- : 0.027 +p-value of test : 0.95 + +Anderson-Darling statistic = A2 : 1.66 +p-value of test : 0.14 + + +----------------------------------------------- +CPU time used : 00:02:59.44 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +svaria_SampleProd test: +----------------------------------------------- + N = 40, n = 10000000, r = 0, t = 8 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.085 +p-value of test : 0.53 + +Kolmogorov-Smirnov- statistic = D- : 0.12 +p-value of test : 0.28 + +Anderson-Darling statistic = A2 : 1.33 +p-value of test : 0.22 + +----------------------------------------------- +CPU time used : 00:02:27.12 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +svaria_SampleProd test: +----------------------------------------------- + N = 20, n = 10000000, r = 0, t = 16 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.15 +p-value of test : 0.35 + +Kolmogorov-Smirnov- statistic = D- : 0.12 +p-value of test : 0.50 + +Anderson-Darling statistic = A2 : 0.67 +p-value of test : 0.58 + +----------------------------------------------- +CPU time used : 00:01:45.14 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +svaria_SampleProd test: +----------------------------------------------- + N = 20, n = 10000000, r = 0, t = 24 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.17 +p-value of test : 0.28 + +Kolmogorov-Smirnov- statistic = D- : 0.030 +p-value of test : 0.95 + +Anderson-Darling statistic = A2 : 0.87 +p-value of test : 0.43 + +----------------------------------------------- +CPU time used : 00:02:11.56 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +svaria_SampleMean test: +----------------------------------------------- + N = 20000000, n = 30, r = 0 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 1.07e-4 +p-value of test : 0.63 + +Kolmogorov-Smirnov- statistic = D- : 6.36e-5 +p-value of test : 0.85 + +Anderson-Darling statistic = A2 : 0.19 +p-value of test : 0.9936 + +----------------------------------------------- +CPU time used : 00:00:32.12 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +svaria_SampleMean test: +----------------------------------------------- + N = 20000000, n = 30, r = 10 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 9.19e-5 +p-value of test : 0.71 + +Kolmogorov-Smirnov- statistic = D- : 1.58e-4 +p-value of test : 0.37 + +Anderson-Darling statistic = A2 : 0.49 +p-value of test : 0.76 + +----------------------------------------------- +CPU time used : 00:00:34.95 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +svaria_SampleCorr test: +----------------------------------------------- + N = 1, n = 2000000000, r = 0, k = 1 + + +----------------------------------------------- +Normal statistic : 1.66 +p-value of test : 0.05 + +----------------------------------------------- +CPU time used : 00:00:34.29 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +svaria_SampleCorr test: +----------------------------------------------- + N = 1, n = 2000000000, r = 0, k = 2 + + +----------------------------------------------- +Normal statistic : -0.25 +p-value of test : 0.60 + +----------------------------------------------- +CPU time used : 00:00:32.95 + +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 : -0.22 +p-value of test : 0.59 + +----------------------------------------------- +CPU time used : 00:02:02.73 + +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 : -0.61 +p-value of test : 0.73 + +----------------------------------------------- +CPU time used : 00:02:05.94 + +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 : 65.72 +p-value of test : 0.52 + +----------------------------------------------- +CPU time used : 00:01:23.40 + +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 : 63.01 +p-value of test : 0.62 + +----------------------------------------------- +CPU time used : 00:01:45.90 + +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 : 86.04 +p-value of test : 0.06 + +----------------------------------------------- +CPU time used : 00:01:40.29 + +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 : 27.47 +p-value of test : 0.87 + +----------------------------------------------- +CPU time used : 00:01:23.18 + +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 : 24.01 +p-value of test : 0.95 + +----------------------------------------------- +CPU time used : 00:01:42.81 + +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 : 42.06 +p-value of test : 0.26 + +----------------------------------------------- +CPU time used : 00:01:44.69 + +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 : 29.88 +p-value of test : 0.42 + +----------------------------------------------- +CPU time used : 00:02:41.06 + +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+ : 0.21 +p-value of test : 0.37 + +Kolmogorov-Smirnov- statistic = D- : 0.24 +p-value of test : 0.29 + +Anderson-Darling statistic = A2 : 0.80 +p-value of test : 0.48 + +Test on the sum of all N observations +Number of degrees of freedom : 40 +Chi-square statistic : 34.99 +p-value of test : 0.69 + +----------------------------------------------- +CPU time used : 00:01:22.54 + +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+ : 0.36 +p-value of test : 0.06 + +Kolmogorov-Smirnov- statistic = D- : 0.14 +p-value of test : 0.63 + +Anderson-Darling statistic = A2 : 1.14 +p-value of test : 0.29 + +Test on the sum of all N observations +Number of degrees of freedom : 40 +Chi-square statistic : 29.95 +p-value of test : 0.88 + +----------------------------------------------- +CPU time used : 00:01:24.80 + +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 : 1.79 +p-value of test : 0.62 + +----------------------------------------------- +CPU time used : 00:02:10.80 + +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 : 5.18 +p-value of test : 0.16 + +----------------------------------------------- +CPU time used : 00:02:10.48 + +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 : 0.78 +p-value of test : 0.68 + +----------------------------------------------- +CPU time used : 00:01:32.14 + +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 : 0.92 +p-value of test : 0.63 + +----------------------------------------------- +CPU time used : 00:01:18.37 + +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+ : 0.045 +p-value of test : 0.93 + +Kolmogorov-Smirnov- statistic = D- : 0.49 +p-value of test : 5.4e-3 + +Anderson-Darling statistic = A2 : 4.11 +p-value of test : 8.1e-3 + +Test on the sum of all N observations +Number of degrees of freedom : 130 +Chi-square statistic : 171.34 +p-value of test : 8.8e-3 + +----------------------------------------------- +CPU time used : 00:01:03.54 + +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+ : 0.26 +p-value of test : 0.23 + +Kolmogorov-Smirnov- statistic = D- : 0.13 +p-value of test : 0.67 + +Anderson-Darling statistic = A2 : 0.85 +p-value of test : 0.45 + +Test on the sum of all N observations +Number of degrees of freedom : 17430 +Chi-square statistic :17309.72 +p-value of test : 0.74 + + + +----------------------------------------------- +CPU time used : 00:01:53.52 + +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 : 41.85 +p-value of test : 0.23 + + +----------------------------------------------- +Test on the values of the Statistic M + +Number of degrees of freedom : 35 +ChiSquare statistic : 31.57 +p-value of test : 0.63 + + +----------------------------------------------- +Test on the values of the Statistic J + +Number of degrees of freedom : 25 +ChiSquare statistic : 16.43 +p-value of test : 0.90 + + +----------------------------------------------- +Test on the values of the Statistic R + +Number of degrees of freedom : 24 +ChiSquare statistic : 27.26 +p-value of test : 0.29 + + +----------------------------------------------- +Test on the values of the Statistic C + +Number of degrees of freedom : 17 +ChiSquare statistic : 12.03 +p-value of test : 0.80 + + +----------------------------------------------- +CPU time used : 00:00:48.62 + +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 : 32.33 +p-value of test : 0.64 + + +----------------------------------------------- +Test on the values of the Statistic M + +Number of degrees of freedom : 35 +ChiSquare statistic : 42.17 +p-value of test : 0.19 + + +----------------------------------------------- +Test on the values of the Statistic J + +Number of degrees of freedom : 25 +ChiSquare statistic : 50.38 +p-value of test : 1.9e-3 + + +----------------------------------------------- +Test on the values of the Statistic R + +Number of degrees of freedom : 24 +ChiSquare statistic : 32.08 +p-value of test : 0.12 + + +----------------------------------------------- +Test on the values of the Statistic C + +Number of degrees of freedom : 17 +ChiSquare statistic : 29.99 +p-value of test : 0.03 + + +----------------------------------------------- +CPU time used : 00:01:00.92 + +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 : 157.30 +p-value of test : 0.25 + + +----------------------------------------------- +Test on the values of the Statistic M + +Number of degrees of freedom : 146 +ChiSquare statistic : 116.19 +p-value of test : 0.97 + + +----------------------------------------------- +Test on the values of the Statistic J + +Number of degrees of freedom : 500 +ChiSquare statistic : 503.68 +p-value of test : 0.45 + + +----------------------------------------------- +Test on the values of the Statistic R + +Number of degrees of freedom : 136 +ChiSquare statistic : 137.61 +p-value of test : 0.45 + + +----------------------------------------------- +Test on the values of the Statistic C + +Number of degrees of freedom : 74 +ChiSquare statistic : 77.65 +p-value of test : 0.36 + + +----------------------------------------------- +CPU time used : 00:01:04.70 + +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 : 156.19 +p-value of test : 0.27 + + +----------------------------------------------- +Test on the values of the Statistic M + +Number of degrees of freedom : 146 +ChiSquare statistic : 162.36 +p-value of test : 0.17 + + +----------------------------------------------- +Test on the values of the Statistic J + +Number of degrees of freedom : 500 +ChiSquare statistic : 443.25 +p-value of test : 0.97 + + +----------------------------------------------- +Test on the values of the Statistic R + +Number of degrees of freedom : 136 +ChiSquare statistic : 137.32 +p-value of test : 0.45 + + +----------------------------------------------- +Test on the values of the Statistic C + +Number of degrees of freedom : 74 +ChiSquare statistic : 83.31 +p-value of test : 0.21 + + +----------------------------------------------- +CPU time used : 00:01:03.53 + +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 : 378.92 +p-value of test : 0.56 + + +----------------------------------------------- +Test on the values of the Statistic M + +Number of degrees of freedom : 384 +ChiSquare statistic : 391.55 +p-value of test : 0.38 + + +----------------------------------------------- +Test on the values of the Statistic J + +Number of degrees of freedom : 5000 +ChiSquare statistic : 4930.06 +p-value of test : 0.76 + + +----------------------------------------------- +Test on the values of the Statistic R + +Number of degrees of freedom : 378 +ChiSquare statistic : 405.44 +p-value of test : 0.16 + + +----------------------------------------------- +Test on the values of the Statistic C + +Number of degrees of freedom : 200 +ChiSquare statistic : 190.63 +p-value of test : 0.67 + + +----------------------------------------------- +CPU time used : 00:00:50.31 + +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 : 370.86 +p-value of test : 0.68 + + +----------------------------------------------- +Test on the values of the Statistic M + +Number of degrees of freedom : 384 +ChiSquare statistic : 422.60 +p-value of test : 0.08 + + +----------------------------------------------- +Test on the values of the Statistic J + +Number of degrees of freedom : 5000 +ChiSquare statistic : 5002.32 +p-value of test : 0.49 + + +----------------------------------------------- +Test on the values of the Statistic R + +Number of degrees of freedom : 378 +ChiSquare statistic : 362.00 +p-value of test : 0.71 + + +----------------------------------------------- +Test on the values of the Statistic C + +Number of degrees of freedom : 200 +ChiSquare statistic : 210.73 +p-value of test : 0.29 + + +----------------------------------------------- +CPU time used : 00:00:49.48 + +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 : 8.46 +p-value of test : 0.75 + + +----------------------------------------------- +Normal statistic for number of jumps : -1.03 +p-value of test : 0.85 + + + +----------------------------------------------- +CPU time used : 00:02:23.53 + +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 : 10.19 +p-value of test : 0.60 + + +----------------------------------------------- +Normal statistic for number of jumps : 0.083 +p-value of test : 0.47 + + + +----------------------------------------------- +CPU time used : 00:02:27.95 + +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+ : 0.100 +p-value of test : 0.77 + +Kolmogorov-Smirnov- statistic = D- : 0.11 +p-value of test : 0.72 + +Anderson-Darling statistic = A2 : 0.60 +p-value of test : 0.65 + +Tests on the sum of all N observations +Standardized normal statistic : -0.42 +p-value of test : 0.66 + +Sample variance : 2.15 +p-value of test : 0.02 + +----------------------------------------------- +CPU time used : 00:00:57.75 + +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+ : 0.20 +p-value of test : 0.41 + +Kolmogorov-Smirnov- statistic = D- : 0.22 +p-value of test : 0.33 + +Anderson-Darling statistic = A2 : 0.51 +p-value of test : 0.73 + +Tests on the sum of all N observations +Standardized normal statistic : -0.10 +p-value of test : 0.54 + +Sample variance : 0.80 +p-value of test : 0.61 + +----------------------------------------------- +CPU time used : 00:00:57.77 + +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+ : 0.012 +p-value of test : 0.30 + +Kolmogorov-Smirnov- statistic = D- : 4.04e-3 +p-value of test : 0.87 + +Anderson-Darling statistic = A2 : 0.50 +p-value of test : 0.74 + +----------------------------------------------- +CPU time used : 00:00:48.62 + +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+ : 5.86e-3 +p-value of test : 0.75 + +Kolmogorov-Smirnov- statistic = D- : 0.013 +p-value of test : 0.27 + +Anderson-Darling statistic = A2 : 0.78 +p-value of test : 0.50 + +----------------------------------------------- +CPU time used : 00:00:47.69 + +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 : 7.15 +p-value of test : 0.52 + +----------------------------------------------- +Global longest run of 1 : 32.00 +p-value of test : 0.50 + + + +----------------------------------------------- +CPU time used : 00:01:44.87 + +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 : 9.91 +p-value of test : 0.27 + +----------------------------------------------- +Global longest run of 1 : 34.00 +p-value of test : 0.25 + + + +----------------------------------------------- +CPU time used : 00:01:44.60 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sstring_PeriodsInStrings test: +----------------------------------------------- + N = 10, n = 500000000, r = 0, s = 10 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.15 +p-value of test : 0.57 + +Kolmogorov-Smirnov- statistic = D- : 0.25 +p-value of test : 0.25 + +Anderson-Darling statistic = A2 : 0.50 +p-value of test : 0.74 + +Test on the sum of all N observations +Number of degrees of freedom : 200 +Chi-square statistic : 203.57 +p-value of test : 0.42 + +----------------------------------------------- +CPU time used : 00:03:05.88 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sstring_PeriodsInStrings test: +----------------------------------------------- + N = 10, n = 500000000, r = 20, s = 10 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.16 +p-value of test : 0.53 + +Kolmogorov-Smirnov- statistic = D- : 0.18 +p-value of test : 0.47 + +Anderson-Darling statistic = A2 : 0.49 +p-value of test : 0.75 + +Test on the sum of all N observations +Number of degrees of freedom : 200 +Chi-square statistic : 209.08 +p-value of test : 0.32 + +----------------------------------------------- +CPU time used : 00:03:04.35 + +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+ : 0.29 +p-value of test : 0.16 + +Kolmogorov-Smirnov- statistic = D- : 0.25 +p-value of test : 0.26 + +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 : 10000 +Chi-square statistic : 9939.55 +p-value of test : 0.66 + +----------------------------------------------- +CPU time used : 00:01:07.65 + +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+ : 0.21 +p-value of test : 0.37 + +Kolmogorov-Smirnov- statistic = D- : 0.054 +p-value of test : 0.91 + +Anderson-Darling statistic = A2 : 0.39 +p-value of test : 0.86 + +Test on the sum of all N observations +Number of degrees of freedom : 10000 +Chi-square statistic : 9917.62 +p-value of test : 0.72 + +----------------------------------------------- +CPU time used : 00:01:13.22 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sstring_HammingCorr test: +----------------------------------------------- + N = 1, n = 1000000000, r = 10, s = 10, L = 30 + + + +----------------------------------------------- +Normal statistic : -0.069 +p-value of test : 0.53 + +----------------------------------------------- +CPU time used : 00:01:24.75 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sstring_HammingCorr test: +----------------------------------------------- + N = 1, n = 100000000, r = 10, s = 10, L = 300 + + + +----------------------------------------------- +Normal statistic : 0.62 +p-value of test : 0.27 + +----------------------------------------------- +CPU time used : 00:01:21.87 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sstring_HammingCorr test: +----------------------------------------------- + N = 1, n = 100000000, r = 10, s = 10, L = 1200 + + + +----------------------------------------------- +Normal statistic : 0.74 +p-value of test : 0.23 + +----------------------------------------------- +CPU time used : 00:05:19.36 + +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+ : 0.094 +p-value of test : 0.79 + +Kolmogorov-Smirnov- statistic = D- : 0.21 +p-value of test : 0.36 + +Anderson-Darling statistic = A2 : 0.52 +p-value of test : 0.72 + +Test on the sum of all N observations +Number of degrees of freedom : 4890 +Chi-square statistic : 4950.40 +p-value of test : 0.27 + +----------------------------------------------- +CPU time used : 00:02:17.32 + +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+ : 0.063 +p-value of test : 0.89 + +Kolmogorov-Smirnov- statistic = D- : 0.25 +p-value
<TRUNCATED>
