http://git-wip-us.apache.org/repos/asf/commons-math/blob/6ddf4769/src/site/resources/txt/userguide/rng/stress/tu/run_2/tu_10 ---------------------------------------------------------------------- diff --git a/src/site/resources/txt/userguide/rng/stress/tu/run_2/tu_10 b/src/site/resources/txt/userguide/rng/stress/tu/run_2/tu_10 new file mode 100644 index 0000000..19d9917 --- /dev/null +++ b/src/site/resources/txt/userguide/rng/stress/tu/run_2/tu_10 @@ -0,0 +1,3803 @@ +# +# RNG: org.apache.commons.math4.rng.internal.source64.MersenneTwister64 +# +# 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 : 0.38 + + +----------------------------------------------- +CPU time used : 00:02:14.16 + +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 : 0.71 + + +----------------------------------------------- +CPU time used : 00:02:19.00 + +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 : 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 : 00:05:00.67 + +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 : 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 : 00:05:08.62 + +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 : 00:06:24.27 + +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 : 1356 +p-value of test : 0.58 + +----------------------------- +Total number of cells containing j balls + + j = 0 : 131940795334476 + j = 1 : 599997288 + j = 2 : 1356 + j = 3 : 0 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:08:55.15 + +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 : 1401 +p-value of test : 0.16 + +----------------------------- +Total number of cells containing j balls + + j = 0 : 131940795334521 + j = 1 : 599997198 + j = 2 : 1401 + j = 3 : 0 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:07:21.53 + +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 : 1397 +p-value of test : 0.19 + +----------------------------- +Total number of cells containing j balls + + j = 0 : 131940795334517 + j = 1 : 599997206 + j = 2 : 1397 + j = 3 : 0 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:08:01.59 + +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 : 1376 +p-value of test : 0.38 + +----------------------------- +Total number of cells containing j balls + + j = 0 : 131940795334496 + j = 1 : 599997248 + j = 2 : 1376 + j = 3 : 0 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:06:12.44 + +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 : 1402 +p-value of test : 0.16 + +----------------------------- +Total number of cells containing j balls + + j = 0 : 131940795334522 + j = 1 : 599997196 + j = 2 : 1402 + j = 3 : 0 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:07:13.73 + +Generator state: +N/A + + + +*********************************************************** +Test smarsa_CollisionOver calling smultin_MultinomialOver + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +smultin_MultinomialOver test: +----------------------------------------------- + N = 30, n = 20000000, r = 0, d = 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 : 1334 +p-value of test : 0.79 + +----------------------------- +Total number of cells containing j balls + + j = 0 : 131940795334454 + j = 1 : 599997332 + j = 2 : 1334 + j = 3 : 0 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:08:55.46 + +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 : 1319 +p-value of test : 0.89 + +----------------------------- +Total number of cells containing j balls + + j = 0 : 131940795334439 + j = 1 : 599997362 + j = 2 : 1319 + j = 3 : 0 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:06:21.34 + +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 : 5459 +p-value of test : 0.30 + + +----------------------------------------------- +CPU time used : 00:05:16.93 + +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 : 4278 +p-value of test : 0.81 + + +----------------------------------------------- +CPU time used : 00:02:20.75 + +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 : 7232 +p-value of test : 0.84 + + +----------------------------------------------- +CPU time used : 00:03:56.39 + +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 : 4376 +p-value of test : 0.28 + + +----------------------------------------------- +CPU time used : 00:02:54.86 + +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 : 4374 +p-value of test : 0.29 + + +----------------------------------------------- +CPU time used : 00:02:59.56 + +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 : 7293 +p-value of test : 0.61 + + +----------------------------------------------- +CPU time used : 00:04:18.26 + +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 : 7239 +p-value of test : 0.82 + + +----------------------------------------------- +CPU time used : 00:04:02.64 + +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 : 7409 +p-value of test : 0.15 + + +----------------------------------------------- +CPU time used : 00:05:06.46 + +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 : 7302 +p-value of test : 0.57 + + +----------------------------------------------- +CPU time used : 00:05:39.17 + +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) : 0.79 +p-value of test : 0.49 + + +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) : 0.97 +p-value of test : 0.37 + +Test on the Nm values of W_{n,i}(mNP1): 0.96 +p-value of test : 0.38 + +Test on the jump times of Y + (superposition of Yn): + +Expected number of jumps of Y = mN : 900 +Number of jumps of Y : 946 +p-value of test : 0.07 + +Stat. AD (mNP2) : 0.91 +p-value of test : 0.41 + +Stat. AD after spacings (mNP2-S) : 0.45 +p-value of test : 0.79 + +----------------------------------------------- +CPU time used : 00:03:25.78 + +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) : 0.68 +p-value of test : 0.57 + + +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) : 0.81 +p-value of test : 0.47 + +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 : 600 +Number of jumps of Y : 647 +p-value of test : 0.03 + +Stat. AD (mNP2) : 0.26 +p-value of test : 0.96 + +Stat. AD after spacings (mNP2-S) : 0.22 +p-value of test : 0.98 + +----------------------------------------------- +CPU time used : 00:02:09.82 + +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) : 0.58 +p-value of test : 0.67 + + +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) : 1.88 +p-value of test : 0.11 + +Test on the Nm values of W_{n,i}(mNP1): 0.22 +p-value of test : 0.99 + +Test on the jump times of Y + (superposition of Yn): + +Expected number of jumps of Y = mN : 300 +Number of jumps of Y : 286 +p-value of test : 0.78 + +Stat. AD (mNP2) : 0.56 +p-value of test : 0.69 + +Stat. AD after spacings (mNP2-S) : 0.42 +p-value of test : 0.83 + +----------------------------------------------- +CPU time used : 00:03:02.64 + +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) : 0.75 +p-value of test : 0.51 + + +A2 test based on the spacings between the + successive jump times of process Y_n(t): + +A2 test on the values of A2 (m-NP) : 0.79 +p-value of test : 0.48 + +Test on the Nm values of W_{n,i}(mNP1): 0.51 +p-value of test : 0.74 + +Test on the jump times of Y + (superposition of Yn): + +Expected number of jumps of Y = mN : 150 +Number of jumps of Y : 143 +p-value of test : 0.70 + +Stat. AD (mNP2) : 0.60 +p-value of test : 0.65 + +Stat. AD after spacings (mNP2-S) : 0.66 +p-value of test : 0.59 + +----------------------------------------------- +CPU time used : 00:03:25.98 + +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 : 4.49 +p-value of test : 0.72 + +----------------------------------------------- +CPU time used : 00:01:23.52 + +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 : 5.71 +p-value of test : 0.57 + +----------------------------------------------- +CPU time used : 00:01:33.59 + +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 : 23.94 +p-value of test : 0.16 + +----------------------------------------------- +CPU time used : 00:01:24.27 + +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 : 11.84 +p-value of test : 0.86 + +----------------------------------------------- +CPU time used : 00:01:35.47 + +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 : 64.18 +p-value of test : 0.16 + +----------------------------------------------- +CPU time used : 00:01:41.23 + +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 : 67.99 +p-value of test : 0.10 + +----------------------------------------------- +CPU time used : 00:01:54.38 + +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 : 51.19 +p-value of test : 0.58 + +----------------------------------------------- +CPU time used : 00:01:55.68 + +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 : 69.14 +p-value of test : 0.08 + +----------------------------------------------- +CPU time used : 00:01:55.90 + +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 : 252.38 +p-value of test : 0.17 + +----------------------------------------------- +CPU time used : 00:02:07.95 + +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 : 430.36 +p-value of test : 0.54 + +----------------------------------------------- +CPU time used : 00:02:55.18 + +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 : 1340.06 +p-value of test : 0.97 + +----------------------------------------------- +CPU time used : 00:03:15.87 + +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 : 7145.03 +p-value of test : 0.20 + +----------------------------------------------- +CPU time used : 00:03:00.00 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sknuth_Run test: +----------------------------------------------- + N = 5, n = 1000000000, r = 0, Up = FALSE + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.23 +p-value of test : 0.51 + +Kolmogorov-Smirnov- statistic = D- : 0.28 +p-value of test : 0.40 + +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 : 30 +Chi-square statistic : 33.16 +p-value of test : 0.32 + +----------------------------------------------- +CPU time used : 00:01:43.03 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sknuth_Run test: +----------------------------------------------- + N = 10, n = 1000000000, r = 15, Up = TRUE + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.18 +p-value of test : 0.46 + +Kolmogorov-Smirnov- statistic = D- : 0.088 +p-value of test : 0.81 + +Anderson-Darling statistic = A2 : 0.40 +p-value of test : 0.85 + +Test on the sum of all N observations +Number of degrees of freedom : 60 +Chi-square statistic : 55.63 +p-value of test : 0.64 + +----------------------------------------------- +CPU time used : 00:04:10.80 + +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 : 2.76 +p-value of test : 0.74 + + +----------------------------------------------- +CPU time used : 00:01:13.95 + +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 : 115.14 +p-value of test : 0.58 + + +----------------------------------------------- +CPU time used : 00:02:08.29 + +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 : 5182.60 +p-value of test : 0.08 + + +----------------------------------------------- +CPU time used : 00:01:29.63 + +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 : 0.53 + + +----------------------------------------------- +CPU time used : 00:03:13.59 + +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 : 45712 +p-value of test : 0.78 + + +----------------------------- +Total number of cells containing j balls + + j = 0 : 1743165869712 + j = 1 : 399908580 + j = 2 : 45704 + j = 3 : 4 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:04:29.52 + +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 : 46004 +p-value of test : 0.28 + + +----------------------------- +Total number of cells containing j balls + + j = 0 : 1743165870004 + j = 1 : 399907995 + j = 2 : 45998 + j = 3 : 3 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:04:45.79 + +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+ : 0.13 +p-value of test : 0.24 + +Kolmogorov-Smirnov- statistic = D- : 0.10 +p-value of test : 0.39 + +Anderson-Darling statistic = A2 : 0.64 +p-value of test : 0.61 + +Test on the sum of all N observations +Number of degrees of freedom : 3999960 +Chi-square statistic : 4.00e+6 +p-value of test : 0.46 + + +----------------------------------------------- +Test results for Anderson-Darling: + +Kolmogorov-Smirnov+ statistic = D+ : 0.093 +p-value of test : 0.47 + +Kolmogorov-Smirnov- statistic = D- : 0.079 +p-value of test : 0.58 + +Anderson-Darling statistic = A2 : 0.40 +p-value of test : 0.85 + + +----------------------------------------------- +CPU time used : 00:03:28.65 + +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+ : 0.10 +p-value of test : 0.51 + +Kolmogorov-Smirnov- statistic = D- : 0.056 +p-value of test : 0.80 + +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 : 0.74 + + +----------------------------------------------- +Test results for Anderson-Darling: + +Kolmogorov-Smirnov+ statistic = D+ : 0.025 +p-value of test : 0.95 + +Kolmogorov-Smirnov- statistic = D- : 0.12 +p-value of test : 0.36 + +Anderson-Darling statistic = A2 : 0.40 +p-value of test : 0.84 + + +----------------------------------------------- +CPU time used : 00:03:10.75 + +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+ : 0.17 +p-value of test : 0.28 + +Kolmogorov-Smirnov- statistic = D- : 0.25 +p-value of test : 0.07 + +Anderson-Darling statistic = A2 : 1.42 +p-value of test : 0.20 + +Test on the sum of all N observations +Number of degrees of freedom : 1999980 +Chi-square statistic : 2.00e+6 +p-value of test : 0.41 + + +----------------------------------------------- +Test results for Anderson-Darling: + +Kolmogorov-Smirnov+ statistic = D+ : 0.18 +p-value of test : 0.24 + +Kolmogorov-Smirnov- statistic = D- : 0.14 +p-value of test : 0.42 + +Anderson-Darling statistic = A2 : 0.81 +p-value of test : 0.47 + + +----------------------------------------------- +CPU time used : 00:02:28.56 + +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+ : 0.034 +p-value of test : 0.94 + +Kolmogorov-Smirnov- statistic = D- : 0.26 +p-value of test : 0.06 + +Anderson-Darling statistic = A2 : 1.83 +p-value of test : 0.11 + +Test on the sum of all N observations +Number of degrees of freedom : 1999980 +Chi-square statistic : 2.00e+6 +p-value of test : 0.05 + + +----------------------------------------------- +Test results for Anderson-Darling: + +Kolmogorov-Smirnov+ statistic = D+ : 0.32 +p-value of test : 0.01 + +Kolmogorov-Smirnov- statistic = D- : 0.029 +p-value of test : 0.95 + +Anderson-Darling statistic = A2 : 2.07 +p-value of test : 0.08 + + +----------------------------------------------- +CPU time used : 00:02:48.48 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +svaria_SampleProd test: +----------------------------------------------- + N = 40, n = 10000000, r = 0, t = 8 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.070 +p-value of test : 0.65 + +Kolmogorov-Smirnov- statistic = D- : 0.083 +p-value of test : 0.55 + +Anderson-Darling statistic = A2 : 0.35 +p-value of test : 0.90 + +----------------------------------------------- +CPU time used : 00:02:26.26 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +svaria_SampleProd test: +----------------------------------------------- + N = 20, n = 10000000, r = 0, t = 16 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.24 +p-value of test : 0.09 + +Kolmogorov-Smirnov- statistic = D- : 0.076 +p-value of test : 0.76 + +Anderson-Darling statistic = A2 : 0.80 +p-value of test : 0.48 + +----------------------------------------------- +CPU time used : 00:01:43.44 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +svaria_SampleProd test: +----------------------------------------------- + N = 20, n = 10000000, r = 0, t = 24 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.26 +p-value of test : 0.05 + +Kolmogorov-Smirnov- statistic = D- : 0.063 +p-value of test : 0.82 + +Anderson-Darling statistic = A2 : 1.40 +p-value of test : 0.20 + +----------------------------------------------- +CPU time used : 00:02:13.84 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +svaria_SampleMean test: +----------------------------------------------- + N = 20000000, n = 30, r = 0 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 1.05e-4 +p-value of test : 0.65 + +Kolmogorov-Smirnov- statistic = D- : 2.81e-4 +p-value of test : 0.04 + +Anderson-Darling statistic = A2 : 2.12 +p-value of test : 0.08 + +----------------------------------------------- +CPU time used : 00:00:32.09 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +svaria_SampleMean test: +----------------------------------------------- + N = 20000000, n = 30, r = 10 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 1.96e-4 +p-value of test : 0.21 + +Kolmogorov-Smirnov- statistic = D- : 4.33e-5 +p-value of test : 0.93 + +Anderson-Darling statistic = A2 : 0.85 +p-value of test : 0.45 + +----------------------------------------------- +CPU time used : 00:00:33.17 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +svaria_SampleCorr test: +----------------------------------------------- + N = 1, n = 2000000000, r = 0, k = 1 + + +----------------------------------------------- +Normal statistic : 0.88 +p-value of test : 0.19 + +----------------------------------------------- +CPU time used : 00:00:34.09 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +svaria_SampleCorr test: +----------------------------------------------- + N = 1, n = 2000000000, r = 0, k = 2 + + +----------------------------------------------- +Normal statistic : 1.91 +p-value of test : 0.03 + +----------------------------------------------- +CPU time used : 00:00:35.46 + +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 : 0.062 +p-value of test : 0.48 + +----------------------------------------------- +CPU time used : 00:02:02.44 + +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 : 1.41 +p-value of test : 0.08 + +----------------------------------------------- +CPU time used : 00:02:06.76 + +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 : 65.02 +p-value of test : 0.55 + +----------------------------------------------- +CPU time used : 00:01:25.46 + +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 : 81.72 +p-value of test : 0.11 + +----------------------------------------------- +CPU time used : 00:01:35.48 + +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 : 59.58 +p-value of test : 0.73 + +----------------------------------------------- +CPU time used : 00:01:38.29 + +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 : 42.45 +p-value of test : 0.25 + +----------------------------------------------- +CPU time used : 00:01:24.22 + +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 : 37.39 +p-value of test : 0.45 + +----------------------------------------------- +CPU time used : 00:01:36.50 + +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 : 27.68 +p-value of test : 0.87 + +----------------------------------------------- +CPU time used : 00:01:35.68 + +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 : 27.62 +p-value of test : 0.54 + +----------------------------------------------- +CPU time used : 00:02:46.18 + +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+ : 0.095 +p-value of test : 0.79 + +Kolmogorov-Smirnov- statistic = D- : 0.21 +p-value of test : 0.38 + +Anderson-Darling statistic = A2 : 0.57 +p-value of test : 0.67 + +Test on the sum of all N observations +Number of degrees of freedom : 40 +Chi-square statistic : 43.58 +p-value of test : 0.32 + +----------------------------------------------- +CPU time used : 00:01:27.26 + +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+ : 2.91e-3 +p-value of test : 0.9970 + +Kolmogorov-Smirnov- statistic = D- : 0.48 +p-value of test : 6.1e-3 + +Anderson-Darling statistic = A2 : 4.85 +p-value of test : 3.6e-3 + +Test on the sum of all N observations +Number of degrees of freedom : 40 +Chi-square statistic : 72.46 +p-value of test : 1.3e-3 + +----------------------------------------------- +CPU time used : 00:01:28.26 + +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 : 1.01 +p-value of test : 0.80 + +----------------------------------------------- +CPU time used : 00:02:11.77 + +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 : 7.50 +p-value of test : 0.06 + +----------------------------------------------- +CPU time used : 00:02:25.71 + +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 : 1.44 +p-value of test : 0.49 + +----------------------------------------------- +CPU time used : 00:01:33.79 + +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 : 0.60 +p-value of test : 0.74 + +----------------------------------------------- +CPU time used : 00:01:17.97 + +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+ : 0.042 +p-value of test : 0.94 + +Kolmogorov-Smirnov- statistic = D- : 0.27 +p-value of test : 0.20 + +Anderson-Darling statistic = A2 : 1.13 +p-value of test : 0.29 + +Test on the sum of all N observations +Number of degrees of freedom : 130 +Chi-square statistic : 149.70 +p-value of test : 0.11 + +----------------------------------------------- +CPU time used : 00:00:57.79 + +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+ : 0.26 +p-value of test : 0.22 + +Kolmogorov-Smirnov- statistic = D- : 0.051 +p-value of test : 0.92 + +Anderson-Darling statistic = A2 : 0.81 +p-value of test : 0.47 + +Test on the sum of all N observations +Number of degrees of freedom : 17430 +Chi-square statistic :17225.30 +p-value of test : 0.86 + + + +----------------------------------------------- +CPU time used : 00:01:54.65 + +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 : 36.06 +p-value of test : 0.47 + + +----------------------------------------------- +Test on the values of the Statistic M + +Number of degrees of freedom : 35 +ChiSquare statistic : 28.54 +p-value of test : 0.77 + + +----------------------------------------------- +Test on the values of the Statistic J + +Number of degrees of freedom : 25 +ChiSquare statistic : 22.40 +p-value of test : 0.61 + + +----------------------------------------------- +Test on the values of the Statistic R + +Number of degrees of freedom : 24 +ChiSquare statistic : 30.77 +p-value of test : 0.16 + + +----------------------------------------------- +Test on the values of the Statistic C + +Number of degrees of freedom : 17 +ChiSquare statistic : 11.47 +p-value of test : 0.83 + + +----------------------------------------------- +CPU time used : 00:00:57.17 + +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 : 35.79 +p-value of test : 0.48 + + +----------------------------------------------- +Test on the values of the Statistic M + +Number of degrees of freedom : 35 +ChiSquare statistic : 44.06 +p-value of test : 0.14 + + +----------------------------------------------- +Test on the values of the Statistic J + +Number of degrees of freedom : 25 +ChiSquare statistic : 20.71 +p-value of test : 0.71 + + +----------------------------------------------- +Test on the values of the Statistic R + +Number of degrees of freedom : 24 +ChiSquare statistic : 18.04 +p-value of test : 0.80 + + +----------------------------------------------- +Test on the values of the Statistic C + +Number of degrees of freedom : 17 +ChiSquare statistic : 28.28 +p-value of test : 0.04 + + +----------------------------------------------- +CPU time used : 00:00:51.39 + +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 : 120.83 +p-value of test : 0.94 + + +----------------------------------------------- +Test on the values of the Statistic M + +Number of degrees of freedom : 146 +ChiSquare statistic : 161.88 +p-value of test : 0.17 + + +----------------------------------------------- +Test on the values of the Statistic J + +Number of degrees of freedom : 500 +ChiSquare statistic : 546.91 +p-value of test : 0.07 + + +----------------------------------------------- +Test on the values of the Statistic R + +Number of degrees of freedom : 136 +ChiSquare statistic : 114.67 +p-value of test : 0.91 + + +----------------------------------------------- +Test on the values of the Statistic C + +Number of degrees of freedom : 74 +ChiSquare statistic : 90.31 +p-value of test : 0.10 + + +----------------------------------------------- +CPU time used : 00:01:00.59 + +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 : 140.83 +p-value of test : 0.61 + + +----------------------------------------------- +Test on the values of the Statistic M + +Number of degrees of freedom : 146 +ChiSquare statistic : 177.56 +p-value of test : 0.04 + + +----------------------------------------------- +Test on the values of the Statistic J + +Number of degrees of freedom : 500 +ChiSquare statistic : 462.07 +p-value of test : 0.89 + + +----------------------------------------------- +Test on the values of the Statistic R + +Number of degrees of freedom : 136 +ChiSquare statistic : 157.20 +p-value of test : 0.10 + + +----------------------------------------------- +Test on the values of the Statistic C + +Number of degrees of freedom : 74 +ChiSquare statistic : 68.10 +p-value of test : 0.67 + + +----------------------------------------------- +CPU time used : 00:00:59.88 + +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 : 439.44 +p-value of test : 0.03 + + +----------------------------------------------- +Test on the values of the Statistic M + +Number of degrees of freedom : 384 +ChiSquare statistic : 375.68 +p-value of test : 0.61 + + +----------------------------------------------- +Test on the values of the Statistic J + +Number of degrees of freedom : 5000 +ChiSquare statistic : 4941.04 +p-value of test : 0.72 + + +----------------------------------------------- +Test on the values of the Statistic R + +Number of degrees of freedom : 378 +ChiSquare statistic : 345.31 +p-value of test : 0.89 + + +----------------------------------------------- +Test on the values of the Statistic C + +Number of degrees of freedom : 200 +ChiSquare statistic : 237.28 +p-value of test : 0.04 + + +----------------------------------------------- +CPU time used : 00:00:51.36 + +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 : 365.35 +p-value of test : 0.75 + + +----------------------------------------------- +Test on the values of the Statistic M + +Number of degrees of freedom : 384 +ChiSquare statistic : 320.35 +p-value of test : 0.9921 + + +----------------------------------------------- +Test on the values of the Statistic J + +Number of degrees of freedom : 5000 +ChiSquare statistic : 5113.80 +p-value of test : 0.13 + + +----------------------------------------------- +Test on the values of the Statistic R + +Number of degrees of freedom : 378 +ChiSquare statistic : 337.70 +p-value of test : 0.93 + + +----------------------------------------------- +Test on the values of the Statistic C + +Number of degrees of freedom : 200 +ChiSquare statistic : 181.16 +p-value of test : 0.83 + + +----------------------------------------------- +CPU time used : 00:00:48.42 + +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 : 15.54 +p-value of test : 0.21 + + +----------------------------------------------- +Normal statistic for number of jumps : -402.67 +p-value of test : 1 - eps1 ***** + + + +----------------------------------------------- +CPU time used : 00:00:07.85 + +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 : 18.69 +p-value of test : 0.10 + + +----------------------------------------------- +Normal statistic for number of jumps : -402.57 +p-value of test : 1 - eps1 ***** + + + +----------------------------------------------- +CPU time used : 00:00:07.81 + +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+ : 0.072 +p-value of test : 0.87 + +Kolmogorov-Smirnov- statistic = D- : 0.36 +p-value of test : 0.06 + +Anderson-Darling statistic = A2 : 2.39 +p-value of test : 0.06 + +Tests on the sum of all N observations +Standardized normal statistic : 1.63 +p-value of test : 0.05 + +Sample variance : 1.05 +p-value of test : 0.40 + +----------------------------------------------- +CPU time used : 00:00:56.28 + +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+ : 0.33 +p-value of test : 0.09 + +Kolmogorov-Smirnov- statistic = D- : 0.049 +p-value of test : 0.93 + +Anderson-Darling statistic = A2 : 1.12 +p-value of test : 0.30 + +Tests on the sum of all N observations +Standardized normal statistic : -1.22 +p-value of test : 0.89 + +Sample variance : 1.16 +p-value of test : 0.31 + +----------------------------------------------- +CPU time used : 00:00:59.50 + +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+ : 8.54e-3 +p-value of test : 0.55 + +Kolmogorov-Smirnov- statistic = D- : 3.13e-3 +p-value of test : 0.92 + +Anderson-Darling statistic = A2 : 0.28 +p-value of test : 0.95 + +----------------------------------------------- +CPU time used : 00:00:48.44 + +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+ : 0.011 +p-value of test : 0.39 + +Kolmogorov-Smirnov- statistic = D- : 7.31e-3 +p-value of test : 0.64 + +Anderson-Darling statistic = A2 : 0.80 +p-value of test : 0.48 + +----------------------------------------------- +CPU time used : 00:00:47.51 + +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 : 13.41 +p-value of test : 0.10 + +----------------------------------------------- +Global longest run of 1 : 31.00 +p-value of test : 0.69 + + + +----------------------------------------------- +CPU time used : 00:01:39.59 + +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 : 11.47 +p-value of test : 0.18 + +----------------------------------------------- +Global longest run of 1 : 32.00 +p-value of test : 0.50 + + + +----------------------------------------------- +CPU time used : 00:01:41.59 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sstring_PeriodsInStrings test: +----------------------------------------------- + N = 10, n = 500000000, r = 0, s = 10 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.18 +p-value of test : 0.45 + +Kolmogorov-Smirnov- statistic = D- : 0.057 +p-value of test : 0.91 + +Anderson-Darling statistic = A2 : 0.64 +p-value of test : 0.60 + +Test on the sum of all N observations +Number of degrees of freedom : 200 +Chi-square statistic : 181.14 +p-value of test : 0.83 + +----------------------------------------------- +CPU time used : 00:02:54.36 + +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 : 0.54 + +Kolmogorov-Smirnov- statistic = D- : 0.22 +p-value of test : 0.34 + +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 : 200 +Chi-square statistic : 205.91 +p-value of test : 0.37 + +----------------------------------------------- +CPU time used : 00:02:53.71 + +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+ : 0.23 +p-value of test : 0.31 + +Kolmogorov-Smirnov- statistic = D- : 0.047 +p-value of test : 0.93 + +Anderson-Darling statistic = A2 : 1.55 +p-value of test : 0.17 + +Test on the sum of all N observations +Number of degrees of freedom : 10000 +Chi-square statistic : 9781.15 +p-value of test : 0.94 + +----------------------------------------------- +CPU time used : 00:01:06.31 + +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+ : 0.36 +p-value of test : 0.06 + +Kolmogorov-Smirnov- statistic = D- : 0.075 +p-value of test : 0.86 + +Anderson-Darling statistic = A2 : 1.18 +p-value of test : 0.27 + +Test on the sum of all N observations +Number of degrees of freedom : 10000 +Chi-square statistic : 9854.01 +p-value of test : 0.85 + +----------------------------------------------- +CPU time used : 00:01:07.09 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sstring_HammingCorr test: +----------------------------------------------- + N = 1, n = 1000000000, r = 10, s = 10, L = 30 + + + +----------------------------------------------- +Normal statistic : 0.93 +p-value of test : 0.18 + +----------------------------------------------- +CPU time used : 00:01:23.98 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sstring_HammingCorr test: +----------------------------------------------- + N = 1, n = 100000000, r = 10, s = 10, L = 300 + + + +----------------------------------------------- +Normal statistic : -0.57 +p-value of test : 0.71 + +----------------------------------------------- +CPU time used : 00:01:16.87 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sstring_HammingCorr test: +----------------------------------------------- + N = 1, n = 100000000, r = 10, s = 10, L = 1200 + + + +----------------------------------------------- +Normal statistic : -1.32 +p-value of test : 0.91 + +----------------------------------------------- +CPU time used : 00:05:09.12 + +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 : 0.51 + +Kolmogorov-Smirnov- statistic = D- : 0.13 +p-value of test : 0.66 + +Anderson-Darling statistic = A2 : 0.26 +p-value of test : 0.96 + +Test on the sum of all N observations +Number of degrees of freedom : 4890 +Chi-square statistic : 4858.50 +p-value of test : 0.62 + +----------------------------------------------- +CPU time used : 00:02:11.95 + +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+ : 0.19 +p-value of test : 0.42 + +Kolmogorov-Smirnov- statistic
<TRUNCATED>
