http://git-wip-us.apache.org/repos/asf/commons-math/blob/6ddf4769/src/site/resources/txt/userguide/rng/stress/tu/run_1/tu_1 ---------------------------------------------------------------------- diff --git a/src/site/resources/txt/userguide/rng/stress/tu/run_1/tu_1 b/src/site/resources/txt/userguide/rng/stress/tu/run_1/tu_1 new file mode 100644 index 0000000..6284523 --- /dev/null +++ b/src/site/resources/txt/userguide/rng/stress/tu/run_1/tu_1 @@ -0,0 +1,3882 @@ +# +# RNG: org.apache.commons.math4.rng.internal.source32.JDKRandom +# +# 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 : 1.99e+9 +p-value of test : eps ***** + + +----------------------------------------------- +CPU time used : 00:01:59.81 + +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 : 4.2e-3 + + +----------------------------------------------- +CPU time used : 00:01:39.36 + +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 : 0 +p-value of test : 1 - eps1 ***** + +----------------------------- +Total number of cells containing j balls + + j = 0 : 131940795333120 + j = 1 : 600000000 + j = 2 : 0 + j = 3 : 0 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:04:56.37 + +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 : 1335 +p-value of test : 0.78 + +----------------------------- +Total number of cells containing j balls + + j = 0 : 131940795334455 + j = 1 : 599997330 + j = 2 : 1335 + j = 3 : 0 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:04:20.59 + +Generator state: +N/A + + + +*********************************************************** +Test smarsa_CollisionOver calling smultin_MultinomialOver + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +smultin_MultinomialOver test: +----------------------------------------------- + N = 30, n = 20000000, r = 0, d = 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 : 0 +p-value of test : 1 - eps1 ***** + +----------------------------- +Total number of cells containing j balls + + j = 0 : 131940795333120 + j = 1 : 600000000 + j = 2 : 0 + j = 3 : 0 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:05:31.36 + +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 : 1405 +p-value of test : 0.14 + +----------------------------- +Total number of cells containing j balls + + j = 0 : 131940795334525 + j = 1 : 599997190 + j = 2 : 1405 + j = 3 : 0 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:05:30.79 + +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 : 348341580 +p-value of test : eps ***** + +----------------------------- +Total number of cells containing j balls + + j = 0 : 131941143674700 + j = 1 : 180 + j = 2 : 154974900 + j = 3 : 96683340 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:05:37.50 + +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 : 1337 +p-value of test : 0.76 + +----------------------------- +Total number of cells containing j balls + + j = 0 : 131940795334457 + j = 1 : 599997326 + j = 2 : 1337 + j = 3 : 0 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:05:29.25 + +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 : 348341381 +p-value of test : eps ***** + +----------------------------- +Total number of cells containing j balls + + j = 0 : 131941143674501 + j = 1 : 379 + j = 2 : 154975099 + j = 3 : 96683141 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:04:32.00 + +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 : 1341 +p-value of test : 0.73 + +----------------------------- +Total number of cells containing j balls + + j = 0 : 131940795334461 + j = 1 : 599997318 + j = 2 : 1341 + j = 3 : 0 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:05:24.46 + +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 : 348341180 +p-value of test : eps ***** + +----------------------------- +Total number of cells containing j balls + + j = 0 : 131941143674300 + j = 1 : 580 + j = 2 : 154975300 + j = 3 : 96682940 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:05:25.94 + +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 : 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 : 00:07:52.76 + +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 : 11932277 +p-value of test : eps ***** + + +----------------------------------------------- +CPU time used : 00:04:24.28 + +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 : 201409327 +p-value of test : eps ***** + + +----------------------------------------------- +CPU time used : 00:01:55.26 + +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 : 4281972 +p-value of test : eps ***** + + +----------------------------------------------- +CPU time used : 00:03:15.55 + +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 : 396234610 +p-value of test : eps ***** + + +----------------------------------------------- +CPU time used : 00:02:05.72 + +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 : 313496568 +p-value of test : eps ***** + + +----------------------------------------------- +CPU time used : 00:02:22.26 + +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 : 85304229 +p-value of test : eps ***** + + +----------------------------------------------- +CPU time used : 00:03:57.89 + +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 : 745503 +p-value of test : eps ***** + + +----------------------------------------------- +CPU time used : 00:03:56.14 + +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 : 595349080 +p-value of test : eps ***** + + +----------------------------------------------- +CPU time used : 00:04:03.40 + +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 : 5165123 +p-value of test : eps ***** + + +----------------------------------------------- +CPU time used : 00:05:30.52 + +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 + +********* WARNING in file ../../probdist/gofs.c on line 462 +********* gofs_AndersonDarling: N <= 0 +********* WARNING in file ../../probdist/fbar.c on line 499 +********* fbar_AndersonDarling: N < 1 + +--------------------------------------- +Test based on the 2 nearest points (NP): + +Stat. AD on the N values (NP) : 1072.10 +p-value of test : eps ***** + + +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) : 672.27 +p-value of test :4.1e-294 ***** + +Test on the Nm values of W_{n,i}(mNP1): 699.85 +p-value of test : eps ***** + +Test on the jump times of Y + (superposition of Yn): + +Expected number of jumps of Y = mN : 900 +Number of jumps of Y : 0 +p-value of test : 1 - eps1 ***** + +----------------------------------------------- +CPU time used : 00:03:21.27 + +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 + +********* WARNING in file ../../probdist/gofs.c on line 462 +********* gofs_AndersonDarling: N <= 0 +********* WARNING in file ../../probdist/fbar.c on line 499 +********* fbar_AndersonDarling: N < 1 + +--------------------------------------- +Test based on the 2 nearest points (NP): + +Stat. AD on the N values (NP) : 714.74 +p-value of test : eps ***** + + +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) : 714.74 +p-value of test : eps ***** + +Test on the Nm values of W_{n,i}(mNP1):14871.66 +p-value of test : eps ***** + +Test on the jump times of Y + (superposition of Yn): + +Expected number of jumps of Y = mN : 600 +Number of jumps of Y : 0 +p-value of test : 1 - eps1 ***** + +----------------------------------------------- +CPU time used : 00:14:24.21 + +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 + +********* WARNING in file ../../probdist/gofs.c on line 462 +********* gofs_AndersonDarling: N <= 0 +********* WARNING in file ../../probdist/fbar.c on line 499 +********* fbar_AndersonDarling: N < 1 + +--------------------------------------- +Test based on the 2 nearest points (NP): + +Stat. AD on the N values (NP) : 357.37 +p-value of test :3.2e-157 ***** + + +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) : 357.37 +p-value of test :3.2e-157 ***** + +Test on the Nm values of W_{n,i}(mNP1): 7943.61 +p-value of test : eps ***** + +Test on the jump times of Y + (superposition of Yn): + +Expected number of jumps of Y = mN : 300 +Number of jumps of Y : 0 +p-value of test : 1 - eps1 ***** + +----------------------------------------------- +CPU time used : 00:27:14.61 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +snpair_ClosePairs test: +----------------------------------------------- + N = 5, n = 2000000, r = 0, t = 16, p = 0, m = 30, Torus = TRUE + +********* WARNING in file ../../testu01/snpair.c on line 294 +********* res->NumClose > 50000 +********* WARNING in file ../../testu01/snpair.c on line 294 +********* res->NumClose > 50000 +********* WARNING in file ../../testu01/snpair.c on line 294 +********* res->NumClose > 50000 +********* WARNING in file ../../testu01/snpair.c on line 294 +********* res->NumClose > 50000 +********* WARNING in file ../../testu01/snpair.c on line 294 +********* res->NumClose > 50000 + +--------------------------------------- +Test based on the 2 nearest points (NP): + +Stat. AD on the N values (NP) : 178.68 +p-value of test : 1.8e-79 ***** + + +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) : 178.68 +p-value of test : 1.8e-79 ***** + +Test on the Nm values of W_{n,i}(mNP1): 5360.52 +p-value of test : eps ***** + +Test on the jump times of Y + (superposition of Yn): + +Expected number of jumps of Y = mN : 150 +Number of jumps of Y > 250000 ***** +p-value of test : eps ***** + +Stat. AD (mNP2) : 8.93e+6 +p-value of test : eps ***** + +Stat. AD after spacings (mNP2-S) : 8.93e+6 +p-value of test : eps ***** + +----------------------------------------------- +CPU time used : 00:03:03.62 + +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 : 4476.86 +p-value of test : eps ***** + +----------------------------------------------- +CPU time used : 00:01:17.82 + +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 : 6.89 +p-value of test : 0.44 + +----------------------------------------------- +CPU time used : 00:01:29.34 + +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 :32196.55 +p-value of test : eps ***** + +----------------------------------------------- +CPU time used : 00:01:17.05 + +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 : 15.15 +p-value of test : 0.65 + +----------------------------------------------- +CPU time used : 00:01:27.01 + +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 : 2.23e+5 +p-value of test : eps ***** + +----------------------------------------------- +CPU time used : 00:01:38.42 + +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 : 4075.22 +p-value of test : eps ***** + +----------------------------------------------- +CPU time used : 00:01:46.06 + +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 : 56.22 +p-value of test : 0.39 + +----------------------------------------------- +CPU time used : 00:01:41.81 + +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 : 29.80 +p-value of test : 0.9970 + +----------------------------------------------- +CPU time used : 00:01:46.23 + +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 : 2.01e+5 +p-value of test : eps ***** + +----------------------------------------------- +CPU time used : 00:02:06.05 + +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 : 442.43 +p-value of test : 0.38 + +----------------------------------------------- +CPU time used : 00:03:03.40 + +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 : 2.11e+6 +p-value of test : eps ***** + +----------------------------------------------- +CPU time used : 00:03:16.50 + +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 : 7191.96 +p-value of test : 0.11 + +----------------------------------------------- +CPU time used : 00:03:10.00 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sknuth_Run test: +----------------------------------------------- + N = 5, n = 1000000000, r = 0, Up = FALSE + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 2.84e-7 +p-value of test : 1 - 2.8e-7 ***** + +Kolmogorov-Smirnov- statistic = D- : 1.00 +p-value of test : 4.2e-15 ***** + +Anderson-Darling statistic = A2 : 66.57 +p-value of test : 1.5e-30 ***** + +Test on the sum of all N observations +Number of degrees of freedom : 30 +Chi-square statistic : 199.09 +p-value of test : 7.3e-27 ***** + +----------------------------------------------- +CPU time used : 00:01:43.97 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sknuth_Run test: +----------------------------------------------- + N = 10, n = 1000000000, r = 15, Up = TRUE + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.21 +p-value of test : 0.35 + +Kolmogorov-Smirnov- statistic = D- : 0.13 +p-value of test : 0.66 + +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 : 60 +Chi-square statistic : 51.69 +p-value of test : 0.77 + +----------------------------------------------- +CPU time used : 00:04:02.50 + +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 : 256.62 +p-value of test : eps ***** + + +----------------------------------------------- +CPU time used : 00:01:13.67 + +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 :29156.14 +p-value of test : eps ***** + + +----------------------------------------------- +CPU time used : 00:02:07.14 + +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 : 1.82e+6 +p-value of test : eps ***** + + +----------------------------------------------- +CPU time used : 00:01:30.29 + +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 : 5.82e+6 +p-value of test : eps ***** + + +----------------------------------------------- +CPU time used : 00:02:58.15 + +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 : 305341510 +p-value of test : eps ***** + + +----------------------------- +Total number of cells containing j balls + + j = 0 : 1743471165510 + j = 1 : 9476333 + j = 2 : 13916426 + j = 3 : 11242897 + j = 4 : 14934640 + j = 5 : 35016751 + +----------------------------------------------- +CPU time used : 00:03:36.95 + +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 : 34728 +p-value of test : 1 - eps1 ***** + + +----------------------------- +Total number of cells containing j balls + + j = 0 : 1743165858728 + j = 1 : 399930544 + j = 2 : 34728 + j = 3 : 0 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:04:28.63 + +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+ : 0.14 +p-value of test : 0.20 + +Kolmogorov-Smirnov- statistic = D- : 0.11 +p-value of test : 0.36 + +Anderson-Darling statistic = A2 : 0.99 +p-value of test : 0.36 + +Test on the sum of all N observations +Number of degrees of freedom : 3999960 +Chi-square statistic : 4.00e+6 +p-value of test : 0.51 + + +----------------------------------------------- +Test results for Anderson-Darling: + +Kolmogorov-Smirnov+ statistic = D+ : 0.019 +p-value of test : 0.96 + +Kolmogorov-Smirnov- statistic = D- : 0.81 +p-value of test : 4.2e-29 ***** + +Anderson-Darling statistic = A2 : 57.56 +p-value of test : 1.3e-26 ***** + + +----------------------------------------------- +CPU time used : 00:03:17.37 + +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+ : 9.06e-4 +p-value of test : 0.9991 ***** + +Kolmogorov-Smirnov- statistic = D- : 0.60 +p-value of test : 4.8e-11 ***** + +Anderson-Darling statistic = A2 : 29.84 +p-value of test : 2.0e-14 ***** + +Test on the sum of all N observations +Number of degrees of freedom : 2999970 +Chi-square statistic : 3.02e+6 +p-value of test : 2.9e-15 ***** + + +----------------------------------------------- +Test results for Anderson-Darling: + +Kolmogorov-Smirnov+ statistic = D+ : 0.93 +p-value of test : 5.9e-36 ***** + +Kolmogorov-Smirnov- statistic = D- : 0.046 +p-value of test : 0.85 + +Anderson-Darling statistic = A2 : 56.41 +p-value of test : 4.1e-26 ***** + + +----------------------------------------------- +CPU time used : 00:03:00.54 + +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+ : 0.13 +p-value of test : 0.48 + +Kolmogorov-Smirnov- statistic = D- : 0.18 +p-value of test : 0.23 + +Anderson-Darling statistic = A2 : 0.83 +p-value of test : 0.46 + +Test on the sum of all N observations +Number of degrees of freedom : 1999980 +Chi-square statistic : 2.00e+6 +p-value of test : 0.43 + + +----------------------------------------------- +Test results for Anderson-Darling: + +Kolmogorov-Smirnov+ statistic = D+ : 0.37 +p-value of test : 3.4e-3 + +Kolmogorov-Smirnov- statistic = D- : 0.42 +p-value of test : 4.4e-4 ***** + +Anderson-Darling statistic = A2 : 5.14 +p-value of test : 2.5e-3 + + +----------------------------------------------- +CPU time used : 00:02:24.46 + +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+ : 2.35e-4 +p-value of test : 0.9998 ***** + +Kolmogorov-Smirnov- statistic = D- : 0.45 +p-value of test : 1.9e-4 ***** + +Anderson-Darling statistic = A2 : 9.23 +p-value of test : 3.3e-5 ***** + +Test on the sum of all N observations +Number of degrees of freedom : 1999980 +Chi-square statistic : 2.01e+6 +p-value of test : 2.1e-6 ***** + + +----------------------------------------------- +Test results for Anderson-Darling: + +Kolmogorov-Smirnov+ statistic = D+ : 0.99 +p-value of test : 1.8e-40 ***** + +Kolmogorov-Smirnov- statistic = D- : 5.24e-3 +p-value of test : 0.9942 + +Anderson-Darling statistic = A2 : 77.07 +p-value of test : 3.8e-35 ***** + + +----------------------------------------------- +CPU time used : 00:02:50.30 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +svaria_SampleProd test: +----------------------------------------------- + N = 40, n = 10000000, r = 0, t = 8 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.47 +p-value of test : 5.9e-9 ***** + +Kolmogorov-Smirnov- statistic = D- : 0.39 +p-value of test : 2.1e-6 ***** + +Anderson-Darling statistic = A2 : 12.59 +p-value of test : 9.4e-7 ***** + +----------------------------------------------- +CPU time used : 00:02:24.79 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +svaria_SampleProd test: +----------------------------------------------- + N = 20, n = 10000000, r = 0, t = 16 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 1.00 +p-value of test :2.9e-106 ***** + +Kolmogorov-Smirnov- statistic = D- : 2.52e-6 +p-value of test : 1 - 2.5e-6 ***** + +Anderson-Darling statistic = A2 : 225.84 +p-value of test :5.4e-100 ***** + +----------------------------------------------- +CPU time used : 00:01:43.35 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +svaria_SampleProd test: +----------------------------------------------- + N = 20, n = 10000000, r = 0, t = 24 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.99 +p-value of test : 6.6e-46 ***** + +Kolmogorov-Smirnov- statistic = D- : 1.99e-3 +p-value of test : 0.9979 + +Anderson-Darling statistic = A2 : 91.82 +p-value of test : 1.3e-41 ***** + +----------------------------------------------- +CPU time used : 00:02:14.85 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +svaria_SampleMean test: +----------------------------------------------- + N = 20000000, n = 30, r = 0 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 3.87e-4 +p-value of test : 2.5e-3 + +Kolmogorov-Smirnov- statistic = D- : 4.10e-4 +p-value of test : 1.2e-3 + +Anderson-Darling statistic = A2 : 6.23 +p-value of test : 7.8e-4 ***** + +----------------------------------------------- +CPU time used : 00:00:34.56 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +svaria_SampleMean test: +----------------------------------------------- + N = 20000000, n = 30, r = 10 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 7.49e-5 +p-value of test : 0.80 + +Kolmogorov-Smirnov- statistic = D- : 8.53e-5 +p-value of test : 0.75 + +Anderson-Darling statistic = A2 : 0.25 +p-value of test : 0.97 + +----------------------------------------------- +CPU time used : 00:00:33.70 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +svaria_SampleCorr test: +----------------------------------------------- + N = 1, n = 2000000000, r = 0, k = 1 + + +----------------------------------------------- +Normal statistic : 1.86e-3 +p-value of test : 0.50 + +----------------------------------------------- +CPU time used : 00:00:33.54 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +svaria_SampleCorr test: +----------------------------------------------- + N = 1, n = 2000000000, r = 0, k = 2 + + +----------------------------------------------- +Normal statistic : -0.038 +p-value of test : 0.52 + +----------------------------------------------- +CPU time used : 00:00:33.52 + +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 : 116.34 +p-value of test : eps ***** + +----------------------------------------------- +CPU time used : 00:01:55.71 + +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 : -1.87 +p-value of test : 0.97 + +----------------------------------------------- +CPU time used : 00:01:56.45 + +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 :42542.13 +p-value of test : eps ***** + +----------------------------------------------- +CPU time used : 00:01:19.62 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +svaria_WeightDistrib test: +----------------------------------------------- + N = 1, n = 20000000, r = 20, k = 256, Alpha = 0, Beta = 0.25 + + +----------------------------------------------- +Number of degrees of freedom : 67 +Chi-square statistic : 101.15 +p-value of test : 4.5e-3 + +----------------------------------------------- +CPU time used : 00:01:36.22 + +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 : 65.19 +p-value of test : 0.54 + +----------------------------------------------- +CPU time used : 00:01:37.25 + +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 :23743.56 +p-value of test : eps ***** + +----------------------------------------------- +CPU time used : 00:01:23.84 + +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 : 211.07 +p-value of test : eps ***** + +----------------------------------------------- +CPU time used : 00:01:34.86 + +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 : 58.68 +p-value of test : 0.01 + +----------------------------------------------- +CPU time used : 00:01:43.95 + +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 :13232.94 +p-value of test : eps ***** + +----------------------------------------------- +CPU time used : 00:02:50.78 + +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+ : 0.016 +p-value of test : 0.98 + +Kolmogorov-Smirnov- statistic = D- : 0.67 +p-value of test : 3.2e-5 ***** + +Anderson-Darling statistic = A2 : 11.96 +p-value of test : 1.8e-6 ***** + +Test on the sum of all N observations +Number of degrees of freedom : 40 +Chi-square statistic : 89.07 +p-value of test : 1.3e-5 ***** + +----------------------------------------------- +CPU time used : 00:01:26.68 + +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+ : 0.27 +p-value of test : 0.21 + +Kolmogorov-Smirnov- statistic = D- : 0.12 +p-value of test : 0.68 + +Anderson-Darling statistic = A2 : 0.95 +p-value of test : 0.38 + +Test on the sum of all N observations +Number of degrees of freedom : 40 +Chi-square statistic : 29.50 +p-value of test : 0.89 + +----------------------------------------------- +CPU time used : 00:01:25.47 + +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 : 1.69 +p-value of test : 0.64 + +----------------------------------------------- +CPU time used : 00:02:11.01 + +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 : 0.63 +p-value of test : 0.89 + +----------------------------------------------- +CPU time used : 00:02:11.25 + +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 : 1.72 +p-value of test : 0.42 + +----------------------------------------------- +CPU time used : 00:01:32.53 + +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 : 00:01:17.71 + +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+ : 0.34 +p-value of test : 0.07 + +Kolmogorov-Smirnov- statistic = D- : 0.056 +p-value of test : 0.91 + +Anderson-Darling statistic = A2 : 1.64 +p-value of test : 0.15 + +Test on the sum of all N observations +Number of degrees of freedom : 130 +Chi-square statistic : 104.50 +p-value of test : 0.95 + +----------------------------------------------- +CPU time used : 00:00:57.22 + +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+ : 0.29 +p-value of test : 0.16 + +Kolmogorov-Smirnov- statistic = D- : 0.34 +p-value of test : 0.08 + +Anderson-Darling statistic = A2 : 1.38 +p-value of test : 0.21 + +Test on the sum of all N observations +Number of degrees of freedom : 17430 +Chi-square statistic :17474.88 +p-value of test : 0.40 + + + +----------------------------------------------- +CPU time used : 00:01:52.06 + +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 : 883.35 +p-value of test : eps ***** + + +----------------------------------------------- +Test on the values of the Statistic M + +Number of degrees of freedom : 35 +ChiSquare statistic : 619.01 +p-value of test : eps ***** + + +----------------------------------------------- +Test on the values of the Statistic J + +Number of degrees of freedom : 25 +ChiSquare statistic : 434.44 +p-value of test : eps ***** + + +----------------------------------------------- +Test on the values of the Statistic R + +Number of degrees of freedom : 24 +ChiSquare statistic : 618.93 +p-value of test : eps ***** + + +----------------------------------------------- +Test on the values of the Statistic C + +Number of degrees of freedom : 17 +ChiSquare statistic : 563.57 +p-value of test : eps ***** + + +----------------------------------------------- +CPU time used : 00:00:47.14 + +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 : 22.53 +p-value of test : 0.96 + + +----------------------------------------------- +Test on the values of the Statistic M + +Number of degrees of freedom : 35 +ChiSquare statistic : 34.66 +p-value of test : 0.48 + + +----------------------------------------------- +Test on the values of the Statistic J + +Number of degrees of freedom : 25 +ChiSquare statistic : 33.31 +p-value of test : 0.12 + + +----------------------------------------------- +Test on the values of the Statistic R + +Number of degrees of freedom : 24 +ChiSquare statistic : 33.14 +p-value of test : 0.10 + + +----------------------------------------------- +Test on the values of the Statistic C + +Number of degrees of freedom : 17 +ChiSquare statistic : 11.27 +p-value of test : 0.84 + + +----------------------------------------------- +CPU time used : 00:00:48.07 + +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 : 194.70 +p-value of test : 4.4e-3 + + +----------------------------------------------- +Test on the values of the Statistic M + +Number of degrees of freedom : 146 +ChiSquare statistic : 226.66 +p-value of test : 2.1e-5 ***** + + +----------------------------------------------- +Test on the values of the Statistic J + +Number of degrees of freedom : 500 +ChiSquare statistic : 433.65 +p-value of test : 0.99 + + +----------------------------------------------- +Test on the values of the Statistic R + +Number of degrees of freedom : 136 +ChiSquare statistic : 146.19 +p-value of test : 0.26 + + +----------------------------------------------- +Test on the values of the Statistic C + +Number of degrees of freedom : 74 +ChiSquare statistic : 64.81 +p-value of test : 0.77 + + +----------------------------------------------- +CPU time used : 00:00:54.98 + +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 : 166.74 +p-value of test : 0.12 + + +----------------------------------------------- +Test on the values of the Statistic M + +Number of degrees of freedom : 146 +ChiSquare statistic : 151.74 +p-value of test : 0.36 + + +----------------------------------------------- +Test on the values of the Statistic J + +Number of degrees of freedom : 500 +ChiSquare statistic : 499.15 +p-value of test : 0.50 + + +----------------------------------------------- +Test on the values of the Statistic R + +Number of degrees of freedom : 136 +ChiSquare statistic : 129.07 +p-value of test : 0.65 + + +----------------------------------------------- +Test on the values of the Statistic C + +Number of degrees of freedom : 74 +ChiSquare statistic : 73.84 +p-value of test : 0.48 + + +----------------------------------------------- +CPU time used : 00:00:56.82 + +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 : 345.13 +p-value of test : 0.92 + + +----------------------------------------------- +Test on the values of the Statistic M + +Number of degrees of freedom : 384 +ChiSquare statistic : 395.32 +p-value of test : 0.33 + + +----------------------------------------------- +Test on the values of the Statistic J + +Number of degrees of freedom : 5000 +ChiSquare statistic : 4950.98 +p-value of test : 0.69 + + +----------------------------------------------- +Test on the values of the Statistic R + +Number of degrees of freedom : 378 +ChiSquare statistic : 383.38 +p-value of test : 0.41 + + +----------------------------------------------- +Test on the values of the Statistic C + +Number of degrees of freedom : 200 +ChiSquare statistic : 222.52 +p-value of test : 0.13 + + +----------------------------------------------- +CPU time used : 00:00:48.27 + +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 : 377.34 +p-value of test : 0.59 + + +----------------------------------------------- +Test on the values of the Statistic M + +Number of degrees of freedom : 384 +ChiSquare statistic : 395.69 +p-value of test : 0.33 + + +----------------------------------------------- +Test on the values of the Statistic J + +Number of degrees of freedom : 5000 +ChiSquare statistic : 4789.59 +p-value of test : 0.98 + + +----------------------------------------------- +Test on the values of the Statistic R + +Number of degrees of freedom : 378 +ChiSquare statistic : 363.77 +p-value of test : 0.69 + + +----------------------------------------------- +Test on the values of the Statistic C + +Number of degrees of freedom : 200 +ChiSquare statistic : 182.86 +p-value of test : 0.80 + + +----------------------------------------------- +CPU time used : 00:00:47.23 + +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 : 18.22 +p-value of test : 0.11 + + +----------------------------------------------- +Normal statistic for number of jumps : -0.64 +p-value of test : 0.74 + + + +----------------------------------------------- +CPU time used : 00:02:23.44 + +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 : 4.23 +p-value of test : 0.98 + + +----------------------------------------------- +Normal statistic for number of jumps : -1.49e-3 +p-value of test : 0.50 + + + +----------------------------------------------- +CPU time used : 00:02:24.35 + +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+ : 0.093 +p-value of test : 0.79 + +Kolmogorov-Smirnov- statistic = D- : 0.15 +p-value of test : 0.59 + +Anderson-Darling statistic = A2 : 0.25 +p-value of test : 0.97 + +Tests on the sum of all N observations +Standardized normal statistic : 0.25 +p-value of test : 0.40 + +Sample variance : 0.90 +p-value of test : 0.52 + +----------------------------------------------- +CPU time used : 00:00:57.87 + +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+ : 0.15 +p-value of test : 0.57 + +Kolmogorov-Smirnov- statistic = D- : 0.25 +p-value of test : 0.25 + +Anderson-Darling statistic = A2 : 0.87 +p-value of test : 0.43 + +Tests on the sum of all N observations +Standardized normal statistic : 0.58 +p-value of test : 0.28 + +Sample variance : 1.45 +p-value of test : 0.16 + +----------------------------------------------- +CPU time used : 00:01:02.31 + +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+ : 0.032 +p-value of test : 2.2e-4 ***** + +Kolmogorov-Smirnov- statistic = D- : 0.016 +p-value of test : 0.11 + +Anderson-Darling statistic = A2 : 6.74 +p-value of test : 4.5e-4 ***** + +----------------------------------------------- +CPU time used : 00:00:47.23 + +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+ : 4.86e-3 +p-value of test : 0.82 + +Kolmogorov-Smirnov- statistic = D- : 0.011 +p-value of test : 0.37 + +Anderson-Darling statistic = A2 : 0.31 +p-value of test : 0.93 + +----------------------------------------------- +CPU time used : 00:00:46.19 + +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 : 4943.38 +p-value of test : eps ***** + +----------------------------------------------- +Global longest run of 1 : 26.00 +p-value of test : 1 - eps1 ***** + + + +----------------------------------------------- +CPU time used : 00:01:35.59 + +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 : 12.51 +p-value of test : 0.13 + +----------------------------------------------- +Global longest run of 1 : 35.00 +p-value of test : 0.14 + + + +----------------------------------------------- +CPU time used : 00:01:40.70 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sstring_PeriodsInStrings test: +----------------------------------------------- + N = 10, n = 500000000, r = 0, s = 10 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.95 +p-value of test : 1.3e-13 ***** + +Kolmogorov-Smirnov- statistic = D- : 6.32e-5 +p-value of test : 1 - 6.3e-5 ***** + +Anderson-Darling statistic = A2 : 38.61 +p-value of test : 2.7e-18 ***** + +Test on the sum of all N observations +Number of degrees of freedom : 200 +Chi-square statistic : 70.73 +p-value of test : 1 - eps1 ***** + +----------------------------------------------- +CPU time used : 00:02:45.29 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sstring_PeriodsInStrings test: +----------------------------------------------- + N = 10, n = 500000000, r = 20, s = 10 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.29 +p-value of test : 0.15 + +Kolmogorov-Smirnov- statistic = D- : 0.086 +p-value of test : 0.82 + +Anderson-Darling statistic = A2 : 0.98 +p-value of test : 0.36 + +Test on the sum of all N observations +Number of degrees of freedom : 200 +Chi-square statistic : 179.20 +p-value of test : 0.85 + +----------------------------------------------- +CPU time used : 00:02:44.37 + +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+ : 0.60 +p-value of test : 2.6e-4 ***** + +Kolmogorov-Smirnov- statistic = D- : 0.025 +p-value of test : 0.97 + +Anderson-Darling statistic = A2 : 7.12 +p-value of test : 3.2e-4 ***** + +Test on the sum of all N observations +Number of degrees of freedom : 10000 +Chi-square statistic : 9518.02 +p-value of test : 0.9997 ***** + +----------------------------------------------- +CPU time used : 00:01:07.69 + +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+ : 7.40e-3 +p-value of test : 0.9921 + +Kolmogorov-Smirnov- statistic = D- : 0.48 +p-value of test : 5.5e-3 + +Anderson-Darling statistic = A2 : 4.56 +p-value of test : 4.9e-3 + +Test on the sum of all N observations +Number of degrees of freedom : 10000 +Chi-square statistic :10407.91 +p-value of test : 2.2e-3 + +----------------------------------------------- +CPU time used : 00:01:10.32 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sstring_HammingCorr test: +----------------------------------------------- + N = 1, n = 1000000000, r = 10, s = 10, L = 30 + + + +----------------------------------------------- +Normal statistic : -0.37 +p-value of test : 0.65 + +----------------------------------------------- +CPU time used : 00:01:20.22 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sstring_HammingCorr test: +----------------------------------------------- + N = 1, n = 100000000, r = 10, s = 10, L = 300 + + + +----------------------------------------------- +Normal statistic : -1.05 +p-value of test : 0.85 + +----------------------------------------------- +CPU time used : 00:01:17.12 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sstring_HammingCorr test: +----------------------------------------------- + N = 1, n = 100000000, r = 10, s = 10, L = 1200 + + + +----------------------------------------------- +Normal statistic : -0.52 +p-value of test : 0.70 + +----------------------------------------------- +CPU time used : 00:
<TRUNCATED>
