http://git-wip-us.apache.org/repos/asf/commons-math/blob/6ddf4769/src/site/resources/txt/userguide/rng/stress/tu/run_2/tu_1 ---------------------------------------------------------------------- diff --git a/src/site/resources/txt/userguide/rng/stress/tu/run_2/tu_1 b/src/site/resources/txt/userguide/rng/stress/tu/run_2/tu_1 new file mode 100644 index 0000000..d6c6991 --- /dev/null +++ b/src/site/resources/txt/userguide/rng/stress/tu/run_2/tu_1 @@ -0,0 +1,3879 @@ +# +# 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 : 00:02:13.19 + +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 : 0.9969 + + +----------------------------------------------- +CPU time used : 00:02:19.32 + +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 : 00:05:40.80 + +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 : 1306 +p-value of test : 0.94 + +----------------------------- +Total number of cells containing j balls + + j = 0 : 131940795334426 + j = 1 : 599997388 + j = 2 : 1306 + j = 3 : 0 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:05:37.88 + +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 : 00:06:31.99 + +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 : 1369 +p-value of test : 0.45 + +----------------------------- +Total number of cells containing j balls + + j = 0 : 131940795334489 + j = 1 : 599997262 + j = 2 : 1369 + j = 3 : 0 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:07:19.19 + +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 : 348341582 +p-value of test : eps ***** + +----------------------------- +Total number of cells containing j balls + + j = 0 : 131941143674702 + j = 1 : 178 + j = 2 : 154974898 + j = 3 : 96683342 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:03:53.35 + +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 : 1344 +p-value of test : 0.70 + +----------------------------- +Total number of cells containing j balls + + j = 0 : 131940795334464 + j = 1 : 599997312 + j = 2 : 1344 + j = 3 : 0 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:06:00.42 + +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 : 348341375 +p-value of test : eps ***** + +----------------------------- +Total number of cells containing j balls + + j = 0 : 131941143674495 + j = 1 : 385 + j = 2 : 154975105 + j = 3 : 96683135 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:04:48.90 + +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 : 1275 +p-value of test : 0.9923 + +----------------------------- +Total number of cells containing j balls + + j = 0 : 131940795334395 + j = 1 : 599997450 + j = 2 : 1275 + j = 3 : 0 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:07:12.96 + +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 : 348341178 +p-value of test : eps ***** + +----------------------------- +Total number of cells containing j balls + + j = 0 : 131941143674298 + j = 1 : 582 + j = 2 : 154975302 + j = 3 : 96682938 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:04:45.15 + +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 : 1325 +p-value of test : 0.85 + +----------------------------- +Total number of cells containing j balls + + j = 0 : 131940795334445 + j = 1 : 599997350 + j = 2 : 1325 + j = 3 : 0 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:06:48.17 + +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 : 11931429 +p-value of test : eps ***** + + +----------------------------------------------- +CPU time used : 00:05:15.17 + +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 : 201419736 +p-value of test : eps ***** + + +----------------------------------------------- +CPU time used : 00:02:17.52 + +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 : 4285944 +p-value of test : eps ***** + + +----------------------------------------------- +CPU time used : 00:04:00.26 + +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 : 396240529 +p-value of test : eps ***** + + +----------------------------------------------- +CPU time used : 00:02:36.35 + +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 : 313506243 +p-value of test : eps ***** + + +----------------------------------------------- +CPU time used : 00:03:00.43 + +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 : 85305678 +p-value of test : eps ***** + + +----------------------------------------------- +CPU time used : 00:04:29.93 + +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 : 743608 +p-value of test : eps ***** + + +----------------------------------------------- +CPU time used : 00:04:05.72 + +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 : 595343120 +p-value of test : eps ***** + + +----------------------------------------------- +CPU time used : 00:03:51.89 + +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 : 5161744 +p-value of test : eps ***** + + +----------------------------------------------- +CPU time used : 00:05:14.84 + +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) : 659.39 +p-value of test :1.6e-288 ***** + +Test on the Nm values of W_{n,i}(mNP1): 685.89 +p-value of test :4.9e-300 ***** + +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 : 00:03:19.69 + +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):15894.16 +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 : 00:14:47.97 + +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): 7905.81 +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 : 00:26:35.95 + +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 : 00:03:03.89 + +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 : 5673.94 +p-value of test : eps ***** + +----------------------------------------------- +CPU time used : 00:01:17.19 + +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 : 9.44 +p-value of test : 0.22 + +----------------------------------------------- +CPU time used : 00:01:27.62 + +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 :87575.57 +p-value of test : eps ***** + +----------------------------------------------- +CPU time used : 00:01:15.18 + +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 : 21.65 +p-value of test : 0.25 + +----------------------------------------------- +CPU time used : 00:01:28.40 + +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 : 2.45e+5 +p-value of test : eps ***** + +----------------------------------------------- +CPU time used : 00:01:36.62 + +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 : 3203.42 +p-value of test : eps ***** + +----------------------------------------------- +CPU time used : 00:01:53.11 + +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 : 45.90 +p-value of test : 0.78 + +----------------------------------------------- +CPU time used : 00:01:48.29 + +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 : 50.41 +p-value of test : 0.61 + +----------------------------------------------- +CPU time used : 00:01:49.97 + +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 : 2.07e+5 +p-value of test : eps ***** + +----------------------------------------------- +CPU time used : 00:02:05.70 + +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 : 410.41 +p-value of test : 0.79 + +----------------------------------------------- +CPU time used : 00:02:52.53 + +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 : 1.90e+6 +p-value of test : eps ***** + +----------------------------------------------- +CPU time used : 00:03:04.25 + +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 : 7006.74 +p-value of test : 0.63 + +----------------------------------------------- +CPU time used : 00:02:57.53 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sknuth_Run test: +----------------------------------------------- + N = 5, n = 1000000000, r = 0, Up = FALSE + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.39 +p-value of test : 0.16 + +Kolmogorov-Smirnov- statistic = D- : 0.48 +p-value of test : 0.07 + +Anderson-Darling statistic = A2 : 1.56 +p-value of test : 0.16 + +Test on the sum of all N observations +Number of degrees of freedom : 30 +Chi-square statistic : 29.53 +p-value of test : 0.49 + +----------------------------------------------- +CPU time used : 00:01:42.21 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sknuth_Run test: +----------------------------------------------- + N = 10, n = 1000000000, r = 15, Up = TRUE + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.098 +p-value of test : 0.77 + +Kolmogorov-Smirnov- statistic = D- : 0.25 +p-value of test : 0.25 + +Anderson-Darling statistic = A2 : 1.19 +p-value of test : 0.27 + +Test on the sum of all N observations +Number of degrees of freedom : 60 +Chi-square statistic : 71.83 +p-value of test : 0.14 + +----------------------------------------------- +CPU time used : 00:04:05.10 + +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 : 289.84 +p-value of test : eps ***** + + +----------------------------------------------- +CPU time used : 00:01:10.47 + +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 :24864.07 +p-value of test : eps ***** + + +----------------------------------------------- +CPU time used : 00:02:05.44 + +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 : 1.85e+6 +p-value of test : eps ***** + + +----------------------------------------------- +CPU time used : 00:01:29.71 + +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 : 5.80e+6 +p-value of test : eps ***** + + +----------------------------------------------- +CPU time used : 00:03:08.15 + +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 : 305495062 +p-value of test : eps ***** + + +----------------------------- +Total number of cells containing j balls + + j = 0 : 1743471319062 + j = 1 : 9455393 + j = 2 : 13752518 + j = 3 : 11160341 + j = 4 : 14999848 + j = 5 : 35033422 + +----------------------------------------------- +CPU time used : 00:03:47.92 + +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 : 34439 +p-value of test : 1 - eps1 ***** + + +----------------------------- +Total number of cells containing j balls + + j = 0 : 1743165858439 + j = 1 : 399931123 + j = 2 : 34437 + j = 3 : 1 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:04:24.54 + +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+ : 0.37 +p-value of test : 7.8e-6 ***** + +Kolmogorov-Smirnov- statistic = D- : 1.76e-3 +p-value of test : 0.9981 + +Anderson-Darling statistic = A2 : 12.40 +p-value of test : 1.1e-6 ***** + +Test on the sum of all N observations +Number of degrees of freedom : 3999960 +Chi-square statistic : 3.99e+6 +p-value of test : 1 - 1.4e-6 ***** + + +----------------------------------------------- +Test results for Anderson-Darling: + +Kolmogorov-Smirnov+ statistic = D+ : 6.04e-4 +p-value of test : 0.9994 ***** + +Kolmogorov-Smirnov- statistic = D- : 0.91 +p-value of test : 2.6e-42 ***** + +Anderson-Darling statistic = A2 : 114.39 +p-value of test : 1.9e-51 ***** + + +----------------------------------------------- +CPU time used : 00:03:11.70 + +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+ : 6.78e-3 +p-value of test : 0.9917 + +Kolmogorov-Smirnov- statistic = D- : 0.49 +p-value of test : 1.6e-7 ***** + +Anderson-Darling statistic = A2 : 14.63 +p-value of test : 1.1e-7 ***** + +Test on the sum of all N observations +Number of degrees of freedom : 2999970 +Chi-square statistic : 3.01e+6 +p-value of test : 8.7e-8 ***** + + +----------------------------------------------- +Test results for Anderson-Darling: + +Kolmogorov-Smirnov+ statistic = D+ : 0.80 +p-value of test : 3.3e-21 ***** + +Kolmogorov-Smirnov- statistic = D- : 0.14 +p-value of test : 0.28 + +Anderson-Darling statistic = A2 : 25.49 +p-value of test : 1.6e-12 ***** + + +----------------------------------------------- +CPU time used : 00:03:02.73 + +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 : 0.27 + +Kolmogorov-Smirnov- statistic = D- : 0.084 +p-value of test : 0.72 + +Anderson-Darling statistic = A2 : 0.59 +p-value of test : 0.65 + +Test on the sum of all N observations +Number of degrees of freedom : 1999980 +Chi-square statistic : 2.00e+6 +p-value of test : 0.71 + + +----------------------------------------------- +Test results for Anderson-Darling: + +Kolmogorov-Smirnov+ statistic = D+ : 0.62 +p-value of test : 2.4e-8 ***** + +Kolmogorov-Smirnov- statistic = D- : 0.25 +p-value of test : 0.06 + +Anderson-Darling statistic = A2 : 8.89 +p-value of test : 4.7e-5 ***** + + +----------------------------------------------- +CPU time used : 00:02:22.03 + +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+ : 1.33e-3 +p-value of test : 0.9986 + +Kolmogorov-Smirnov- statistic = D- : 0.51 +p-value of test : 1.2e-5 ***** + +Anderson-Darling statistic = A2 : 13.91 +p-value of test : 2.4e-7 ***** + +Test on the sum of all N observations +Number of degrees of freedom : 1999980 +Chi-square statistic : 2.01e+6 +p-value of test : 3.7e-8 ***** + + +----------------------------------------------- +Test results for Anderson-Darling: + +Kolmogorov-Smirnov+ statistic = D+ : 1.00 +p-value of test :1.4e-112 ***** + +Kolmogorov-Smirnov- statistic = D- : 3.78e-7 +p-value of test : 1 - 3.8e-7 ***** + +Anderson-Darling statistic = A2 : 256.94 +p-value of test :1.6e-113 ***** + + +----------------------------------------------- +CPU time used : 00:02:43.14 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +svaria_SampleProd test: +----------------------------------------------- + N = 40, n = 10000000, r = 0, t = 8 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.24 +p-value of test : 9.8e-3 + +Kolmogorov-Smirnov- statistic = D- : 0.61 +p-value of test : 6.7e-15 ***** + +Anderson-Darling statistic = A2 : 17.86 +p-value of test : 4.0e-9 ***** + +----------------------------------------------- +CPU time used : 00:02:21.61 + +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 : 3.3e-74 ***** + +Kolmogorov-Smirnov- statistic = D- : 1.17e-4 +p-value of test : 0.9999 ***** + +Anderson-Darling statistic = A2 : 153.69 +p-value of test : 1.4e-68 ***** + +----------------------------------------------- +CPU time used : 00:01:43.76 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +svaria_SampleProd test: +----------------------------------------------- + N = 20, n = 10000000, r = 0, t = 24 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.98 +p-value of test : 2.7e-33 ***** + +Kolmogorov-Smirnov- statistic = D- : 0.012 +p-value of test : 0.98 + +Anderson-Darling statistic = A2 : 62.61 +p-value of test : 7.9e-29 ***** + +----------------------------------------------- +CPU time used : 00:02:14.61 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +svaria_SampleMean test: +----------------------------------------------- + N = 20000000, n = 30, r = 0 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 2.79e-4 +p-value of test : 0.04 + +Kolmogorov-Smirnov- statistic = D- : 2.29e-4 +p-value of test : 0.12 + +Anderson-Darling statistic = A2 : 1.80 +p-value of test : 0.12 + +----------------------------------------------- +CPU time used : 00:00:33.43 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +svaria_SampleMean test: +----------------------------------------------- + N = 20000000, n = 30, r = 10 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 1.71e-4 +p-value of test : 0.31 + +Kolmogorov-Smirnov- statistic = D- : 1.09e-4 +p-value of test : 0.62 + +Anderson-Darling statistic = A2 : 0.57 +p-value of test : 0.68 + +----------------------------------------------- +CPU time used : 00:00:33.42 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +svaria_SampleCorr test: +----------------------------------------------- + N = 1, n = 2000000000, r = 0, k = 1 + + +----------------------------------------------- +Normal statistic : -0.13 +p-value of test : 0.55 + +----------------------------------------------- +CPU time used : 00:00:33.98 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +svaria_SampleCorr test: +----------------------------------------------- + N = 1, n = 2000000000, r = 0, k = 2 + + +----------------------------------------------- +Normal statistic : 0.050 +p-value of test : 0.48 + +----------------------------------------------- +CPU time used : 00:00:31.94 + +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 : 87.22 +p-value of test : eps ***** + +----------------------------------------------- +CPU time used : 00:01:57.69 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +svaria_AppearanceSpacings test: +----------------------------------------------- + N = 1, Q = 10000000, K = 1000000000, r = 27, s = 3, L = 15 + + Sequences of n = (K + Q)L = 15150000000 bits + Q = 10000000 initialization blocks + K = 1000000000 blocks for the test + the blocks have L = 15 bits + + + +----------------------------------------------- +Normal statistic : 0.28 +p-value of test : 0.39 + +----------------------------------------------- +CPU time used : 00:01:55.94 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +svaria_WeightDistrib test: +----------------------------------------------- + N = 1, n = 20000000, r = 0, k = 256, Alpha = 0, Beta = 0.25 + + +----------------------------------------------- +Number of degrees of freedom : 67 +Chi-square statistic :32751.90 +p-value of test : eps ***** + +----------------------------------------------- +CPU time used : 00:01:16.72 + +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 : 74.73 +p-value of test : 0.24 + +----------------------------------------------- +CPU time used : 00:01:31.61 + +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 : 58.90 +p-value of test : 0.75 + +----------------------------------------------- +CPU time used : 00:01:31.54 + +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 :15620.09 +p-value of test : eps ***** + +----------------------------------------------- +CPU time used : 00:01:19.12 + +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 : 229.60 +p-value of test : eps ***** + +----------------------------------------------- +CPU time used : 00:01:29.88 + +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 : 35.57 +p-value of test : 0.54 + +----------------------------------------------- +CPU time used : 00:01:38.54 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +svaria_SumCollector test: +----------------------------------------------- + N = 1, n = 500000000, r = 0, g = 10 + + +----------------------------------------------- +Number of degrees of freedom : 29 +Chi-square statistic :29102.31 +p-value of test : eps ***** + +----------------------------------------------- +CPU time used : 00:02:38.25 + +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+ : 8.43e-3 +p-value of test : 0.9909 + +Kolmogorov-Smirnov- statistic = D- : 0.46 +p-value of test : 0.01 + +Anderson-Darling statistic = A2 : 5.28 +p-value of test : 2.3e-3 + +Test on the sum of all N observations +Number of degrees of freedom : 40 +Chi-square statistic : 72.38 +p-value of test : 1.3e-3 + +----------------------------------------------- +CPU time used : 00:01:22.67 + +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+ : 0.37 +p-value of test : 0.05 + +Kolmogorov-Smirnov- statistic = D- : 9.67e-3 +p-value of test : 0.99 + +Anderson-Darling statistic = A2 : 1.48 +p-value of test : 0.18 + +Test on the sum of all N observations +Number of degrees of freedom : 40 +Chi-square statistic : 27.48 +p-value of test : 0.93 + +----------------------------------------------- +CPU time used : 00:01:23.10 + +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 : 0.93 +p-value of test : 0.82 + +----------------------------------------------- +CPU time used : 00:02:18.85 + +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 : 1.22 +p-value of test : 0.75 + +----------------------------------------------- +CPU time used : 00:02:19.07 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +smarsa_MatrixRank test: +----------------------------------------------- + N = 1, n = 80, r = 15, s = 15, L = 5000, k = 5000 + + +----------------------------------------------- +Number of degrees of freedom : 2 +Chi-square statistic : 0.59 +p-value of test : 0.74 + +----------------------------------------------- +CPU time used : 00:01:32.95 + +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 : 3.07 +p-value of test : 0.22 + +----------------------------------------------- +CPU time used : 00:01:17.52 + +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+ : 0.25 +p-value of test : 0.26 + +Kolmogorov-Smirnov- statistic = D- : 0.33 +p-value of test : 0.09 + +Anderson-Darling statistic = A2 : 2.22 +p-value of test : 0.07 + +Test on the sum of all N observations +Number of degrees of freedom : 130 +Chi-square statistic : 142.63 +p-value of test : 0.21 + +----------------------------------------------- +CPU time used : 00:00:52.62 + +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+ : 0.13 +p-value of test : 0.66 + +Kolmogorov-Smirnov- statistic = D- : 0.36 +p-value of test : 0.06 + +Anderson-Darling statistic = A2 : 1.51 +p-value of test : 0.17 + +Test on the sum of all N observations +Number of degrees of freedom : 17430 +Chi-square statistic :17586.45 +p-value of test : 0.20 + + + +----------------------------------------------- +CPU time used : 00:01:53.20 + +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 : 731.75 +p-value of test : eps ***** + + +----------------------------------------------- +Test on the values of the Statistic M + +Number of degrees of freedom : 35 +ChiSquare statistic : 613.67 +p-value of test : eps ***** + + +----------------------------------------------- +Test on the values of the Statistic J + +Number of degrees of freedom : 25 +ChiSquare statistic : 470.86 +p-value of test : eps ***** + + +----------------------------------------------- +Test on the values of the Statistic R + +Number of degrees of freedom : 24 +ChiSquare statistic : 497.14 +p-value of test : eps ***** + + +----------------------------------------------- +Test on the values of the Statistic C + +Number of degrees of freedom : 17 +ChiSquare statistic : 241.78 +p-value of test : eps ***** + + +----------------------------------------------- +CPU time used : 00:00:45.62 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +swalk_RandomWalk1 test: +----------------------------------------------- + N = 1, n = 100000000, r = 25, s = 5, L0 = 50, L1 = 50 + + + +----------------------------------------------- +Test on the values of the Statistic H + +Number of degrees of freedom : 36 +ChiSquare statistic : 41.61 +p-value of test : 0.24 + + +----------------------------------------------- +Test on the values of the Statistic M + +Number of degrees of freedom : 35 +ChiSquare statistic : 46.65 +p-value of test : 0.09 + + +----------------------------------------------- +Test on the values of the Statistic J + +Number of degrees of freedom : 25 +ChiSquare statistic : 40.10 +p-value of test : 0.03 + + +----------------------------------------------- +Test on the values of the Statistic R + +Number of degrees of freedom : 24 +ChiSquare statistic : 20.87 +p-value of test : 0.65 + + +----------------------------------------------- +Test on the values of the Statistic C + +Number of degrees of freedom : 17 +ChiSquare statistic : 14.21 +p-value of test : 0.65 + + +----------------------------------------------- +CPU time used : 00:00:45.90 + +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 : 176.68 +p-value of test : 0.04 + + +----------------------------------------------- +Test on the values of the Statistic M + +Number of degrees of freedom : 146 +ChiSquare statistic : 175.78 +p-value of test : 0.05 + + +----------------------------------------------- +Test on the values of the Statistic J + +Number of degrees of freedom : 500 +ChiSquare statistic : 518.47 +p-value of test : 0.27 + + +----------------------------------------------- +Test on the values of the Statistic R + +Number of degrees of freedom : 136 +ChiSquare statistic : 146.81 +p-value of test : 0.25 + + +----------------------------------------------- +Test on the values of the Statistic C + +Number of degrees of freedom : 74 +ChiSquare statistic : 68.73 +p-value of test : 0.65 + + +----------------------------------------------- +CPU time used : 00:00:56.43 + +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 : 165.33 +p-value of test : 0.13 + + +----------------------------------------------- +Test on the values of the Statistic M + +Number of degrees of freedom : 146 +ChiSquare statistic : 136.92 +p-value of test : 0.69 + + +----------------------------------------------- +Test on the values of the Statistic J + +Number of degrees of freedom : 500 +ChiSquare statistic : 520.66 +p-value of test : 0.25 + + +----------------------------------------------- +Test on the values of the Statistic R + +Number of degrees of freedom : 136 +ChiSquare statistic : 144.45 +p-value of test : 0.29 + + +----------------------------------------------- +Test on the values of the Statistic C + +Number of degrees of freedom : 74 +ChiSquare statistic : 61.87 +p-value of test : 0.84 + + +----------------------------------------------- +CPU time used : 00:00:57.40 + +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 : 338.25 +p-value of test : 0.96 + + +----------------------------------------------- +Test on the values of the Statistic M + +Number of degrees of freedom : 384 +ChiSquare statistic : 372.87 +p-value of test : 0.65 + + +----------------------------------------------- +Test on the values of the Statistic J + +Number of degrees of freedom : 5000 +ChiSquare statistic : 5019.31 +p-value of test : 0.42 + + +----------------------------------------------- +Test on the values of the Statistic R + +Number of degrees of freedom : 378 +ChiSquare statistic : 341.04 +p-value of test : 0.91 + + +----------------------------------------------- +Test on the values of the Statistic C + +Number of degrees of freedom : 200 +ChiSquare statistic : 213.59 +p-value of test : 0.24 + + +----------------------------------------------- +CPU time used : 00:00:48.11 + +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 : 376.11 +p-value of test : 0.60 + + +----------------------------------------------- +Test on the values of the Statistic M + +Number of degrees of freedom : 384 +ChiSquare statistic : 432.22 +p-value of test : 0.04 + + +----------------------------------------------- +Test on the values of the Statistic J + +Number of degrees of freedom : 5000 +ChiSquare statistic : 4846.93 +p-value of test : 0.94 + + +----------------------------------------------- +Test on the values of the Statistic R + +Number of degrees of freedom : 378 +ChiSquare statistic : 385.02 +p-value of test : 0.39 + + +----------------------------------------------- +Test on the values of the Statistic C + +Number of degrees of freedom : 200 +ChiSquare statistic : 251.40 +p-value of test : 8.0e-3 + + +----------------------------------------------- +CPU time used : 00:00:47.31 + +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 : 12.84 +p-value of test : 0.38 + + +----------------------------------------------- +Normal statistic for number of jumps : 0.13 +p-value of test : 0.45 + + + +----------------------------------------------- +CPU time used : 00:02:23.76 + +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 : 7.10 +p-value of test : 0.85 + + +----------------------------------------------- +Normal statistic for number of jumps : 1.13 +p-value of test : 0.13 + + + +----------------------------------------------- +CPU time used : 00:02:24.12 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +scomp_LempelZiv test: +----------------------------------------------- + N = 10, n = 134217728, r = 0, s = 30, k = 27 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.14 +p-value of test : 0.62 + +Kolmogorov-Smirnov- statistic = D- : 0.30 +p-value of test : 0.14 + +Anderson-Darling statistic = A2 : 1.08 +p-value of test : 0.31 + +Tests on the sum of all N observations +Standardized normal statistic : 0.96 +p-value of test : 0.17 + +Sample variance : 0.64 +p-value of test : 0.76 + +----------------------------------------------- +CPU time used : 00:00:55.85 + +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+ : 0.13 +p-value of test : 0.64 + +Kolmogorov-Smirnov- statistic = D- : 0.098 +p-value of test : 0.77 + +Anderson-Darling statistic = A2 : 0.31 +p-value of test : 0.93 + +Tests on the sum of all N observations +Standardized normal statistic : -0.29 +p-value of test : 0.62 + +Sample variance : 1.24 +p-value of test : 0.27 + +----------------------------------------------- +CPU time used : 00:00:58.03 + +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+ : 0.047 +p-value of test : 1.6e-8 ***** + +Kolmogorov-Smirnov- statistic = D- : 0.047 +p-value of test : 1.6e-8 ***** + +Anderson-Darling statistic = A2 : 31.93 +p-value of test : 2.4e-15 ***** + +----------------------------------------------- +CPU time used : 00:00:47.22 + +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+ : 7.99e-3 +p-value of test : 0.59 + +Kolmogorov-Smirnov- statistic = D- : 6.03e-3 +p-value of test : 0.74 + +Anderson-Darling statistic = A2 : 0.27 +p-value of test : 0.96 + +----------------------------------------------- +CPU time used : 00:00:46.10 + +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 : 1279.06 +p-value of test : eps ***** + +----------------------------------------------- +Global longest run of 1 : 23.00 +p-value of test : 1 - eps1 ***** + + + +----------------------------------------------- +CPU time used : 00:01:37.70 + +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 : 11.49 +p-value of test : 0.18 + +----------------------------------------------- +Global longest run of 1 : 30.00 +p-value of test : 0.90 + + + +----------------------------------------------- +CPU time used : 00:01:40.26 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sstring_PeriodsInStrings test: +----------------------------------------------- + N = 10, n = 500000000, r = 0, s = 10 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.030 +p-value of test : 0.96 + +Kolmogorov-Smirnov- statistic = D- : 0.45 +p-value of test : 0.01 + +Anderson-Darling statistic = A2 : 2.71 +p-value of test : 0.04 + +Test on the sum of all N observations +Number of degrees of freedom : 200 +Chi-square statistic : 242.04 +p-value of test : 0.02 + +----------------------------------------------- +CPU time used : 00:02:43.93 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sstring_PeriodsInStrings test: +----------------------------------------------- + N = 10, n = 500000000, r = 20, s = 10 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.21 +p-value of test : 0.35 + +Kolmogorov-Smirnov- statistic = D- : 0.048 +p-value of test : 0.93 + +Anderson-Darling statistic = A2 : 0.51 +p-value of test : 0.73 + +Test on the sum of all N observations +Number of degrees of freedom : 200 +Chi-square statistic : 183.66 +p-value of test : 0.79 + +----------------------------------------------- +CPU time used : 00:02:42.32 + +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+ : 2.77e-5 +p-value of test : 1 - 2.8e-5 ***** + +Kolmogorov-Smirnov- statistic = D- : 1.00 +p-value of test : 2.1e-27 ***** + +Anderson-Darling statistic = A2 : 68.96 +p-value of test : 1.3e-31 ***** + +Test on the sum of all N observations +Number of degrees of freedom : 10000 +Chi-square statistic :11688.07 +p-value of test : 4.7e-30 ***** + +----------------------------------------------- +CPU time used : 00:01:06.09 + +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+ : 0.33 +p-value of test : 0.08 + +Kolmogorov-Smirnov- statistic = D- : 0.11 +p-value of test : 0.73 + +Anderson-Darling statistic = A2 : 1.62 +p-value of test : 0.15 + +Test on the sum of all N observations +Number of degrees of freedom : 10000 +Chi-square statistic : 9810.51 +p-value of test : 0.91 + +----------------------------------------------- +CPU time used : 00:01:09.82 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sstring_HammingCorr test: +----------------------------------------------- + N = 1, n = 1000000000, r = 10, s = 10, L = 30 + + + +----------------------------------------------- +Normal statistic : -0.34 +p-value of test : 0.63 + +----------------------------------------------- +CPU time used : 00:01:19.90 + +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 : 0.72 + +----------------------------------------------- +CPU time used : 00:01:16.04 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sstring_HammingCorr test: +----------------------------------------------- + N = 1, n = 100000000, r = 10, s = 10, L = 1200 + + + +----------------------------------------------- +Normal statistic : 0.60 +p-value of test : 0.27 + +----------------------------------------------- +CPU time used : 00:04:56.87 + +Generator state: +N/A + + + +******************************
<TRUNCATED>
