http://git-wip-us.apache.org/repos/asf/commons-rng/blob/42530e25/commons-rng-core/src/site/resources/txt/userguide/stress/tu/run_2/tu_1 ---------------------------------------------------------------------- diff --git a/commons-rng-core/src/site/resources/txt/userguide/stress/tu/run_2/tu_1 b/commons-rng-core/src/site/resources/txt/userguide/stress/tu/run_2/tu_1 new file mode 100644 index 0000000..a47b98e --- /dev/null +++ b/commons-rng-core/src/site/resources/txt/userguide/stress/tu/run_2/tu_1 @@ -0,0 +1,3880 @@ +# +# RNG: org.apache.commons.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 : 00:02:29.12 + +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 : 0.99 + + +----------------------------------------------- +CPU time used : 00:02:36.76 + +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 : 00:04:47.19 + +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 : 1338 +p-value of test : 0.76 + +----------------------------- +Total number of cells containing j balls + + j = 0 : 131940795334458 + j = 1 : 599997324 + j = 2 : 1338 + j = 3 : 0 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:06:33.05 + +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 : 00:10:31.76 + +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 : 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 : 00:09:29.53 + +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 : 348341581 +p-value of test : eps ***** + +----------------------------- +Total number of cells containing j balls + + j = 0 : 131941143674701 + j = 1 : 179 + j = 2 : 154974899 + j = 3 : 96683341 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:07:03.63 + +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 : 1292 +p-value of test : 0.97 + +----------------------------- +Total number of cells containing j balls + + j = 0 : 131940795334412 + j = 1 : 599997416 + j = 2 : 1292 + j = 3 : 0 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:09:36.94 + +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 : 348341376 +p-value of test : eps ***** + +----------------------------- +Total number of cells containing j balls + + j = 0 : 131941143674496 + j = 1 : 384 + j = 2 : 154975104 + j = 3 : 96683136 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:06:50.59 + +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 : 1340 +p-value of test : 0.74 + +----------------------------- +Total number of cells containing j balls + + j = 0 : 131940795334460 + j = 1 : 599997320 + j = 2 : 1340 + j = 3 : 0 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:09:06.81 + +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 : 00:06:53.89 + +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 : 1289 +p-value of test : 0.98 + +----------------------------- +Total number of cells containing j balls + + j = 0 : 131940795334409 + j = 1 : 599997422 + j = 2 : 1289 + j = 3 : 0 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:09:36.86 + +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 : 11933447 +p-value of test : eps ***** + + +----------------------------------------------- +CPU time used : 00:05:27.48 + +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 : 201420318 +p-value of test : eps ***** + + +----------------------------------------------- +CPU time used : 00:02:28.85 + +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 : 4285652 +p-value of test : eps ***** + + +----------------------------------------------- +CPU time used : 00:04:12.59 + +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 : 396235047 +p-value of test : eps ***** + + +----------------------------------------------- +CPU time used : 00:02:48.21 + +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 : 313504413 +p-value of test : eps ***** + + +----------------------------------------------- +CPU time used : 00:03:13.07 + +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 : 85287662 +p-value of test : eps ***** + + +----------------------------------------------- +CPU time used : 00:05:19.86 + +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 : 742869 +p-value of test : eps ***** + + +----------------------------------------------- +CPU time used : 00:05:21.50 + +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 : 595354980 +p-value of test : eps ***** + + +----------------------------------------------- +CPU time used : 00:05:33.80 + +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 : 5165011 +p-value of test : eps ***** + + +----------------------------------------------- +CPU time used : 00:07:35.31 + +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) : 669.69 +p-value of test :5.4e-293 ***** + +Test on the Nm values of W_{n,i}(mNP1): 704.98 +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 : 00:03:51.39 + +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):15288.17 +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 : 00:22:12.87 + +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): 8140.09 +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 : 00:35:21.71 + +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 : 00:04:05.45 + +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 :16636.58 +p-value of test : eps ***** + +----------------------------------------------- +CPU time used : 00:01:40.81 + +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 : 6.80 +p-value of test : 0.45 + +----------------------------------------------- +CPU time used : 00:01:58.93 + +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 : 2.00e+5 +p-value of test : eps ***** + +----------------------------------------------- +CPU time used : 00:01:39.43 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sknuth_SimpPoker test: +----------------------------------------------- + N = 1, n = 100000000, r = 25, d = 32, k = 32 + + +----------------------------------------------- +Number of degrees of freedom : 18 +Chi-square statistic : 20.16 +p-value of test : 0.32 + +----------------------------------------------- +CPU time used : 00:01:51.21 + +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 : 00:02:08.86 + +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 : 4068.05 +p-value of test : eps ***** + +----------------------------------------------- +CPU time used : 00:02:26.47 + +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 : 53.80 +p-value of test : 0.48 + +----------------------------------------------- +CPU time used : 00:02:28.04 + +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 : 48.49 +p-value of test : 0.69 + +----------------------------------------------- +CPU time used : 00:02:28.28 + +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 : 00:02:41.48 + +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 : 427.66 +p-value of test : 0.58 + +----------------------------------------------- +CPU time used : 00:03:57.03 + +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 : 00:04:05.31 + +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 : 7008.93 +p-value of test : 0.62 + +----------------------------------------------- +CPU time used : 00:04:09.12 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sknuth_Run test: +----------------------------------------------- + N = 5, n = 1000000000, r = 0, Up = FALSE + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 3.81e-7 +p-value of test : 1 - 3.8e-7 ***** + +Kolmogorov-Smirnov- statistic = D- : 1.00 +p-value of test : eps ***** + +Anderson-Darling statistic = A2 : 67.10 +p-value of test : 8.6e-31 ***** + +Test on the sum of all N observations +Number of degrees of freedom : 30 +Chi-square statistic : 199.05 +p-value of test : 7.4e-27 ***** + +----------------------------------------------- +CPU time used : 00:02:03.86 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sknuth_Run test: +----------------------------------------------- + N = 10, n = 1000000000, r = 15, Up = TRUE + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.17 +p-value of test : 0.52 + +Kolmogorov-Smirnov- statistic = D- : 0.16 +p-value of test : 0.55 + +Anderson-Darling statistic = A2 : 0.39 +p-value of test : 0.86 + +Test on the sum of all N observations +Number of degrees of freedom : 60 +Chi-square statistic : 54.44 +p-value of test : 0.68 + +----------------------------------------------- +CPU time used : 00:05:07.29 + +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 : 312.02 +p-value of test : eps ***** + + +----------------------------------------------- +CPU time used : 00:01:34.56 + +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 :29433.14 +p-value of test : eps ***** + + +----------------------------------------------- +CPU time used : 00:02:37.09 + +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 : 1.81e+6 +p-value of test : eps ***** + + +----------------------------------------------- +CPU time used : 00:01:56.87 + +Generator state: +N/A + + + +*********************************************************** +Test sknuth_Permutation calling smultin_Multinomial + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +smultin_Multinomial test: +----------------------------------------------- + N = 1, n = 500000000, r = 10, t = 10, + Sparse = FALSE + + GenerCell = smultin_GenerCellPermut + Number of cells = t! = 3628800 + Expected number per cell = 137.7866 + Hashing = FALSE + + For Delta > -1, we use the ChiSquare approximation + Correction factor of the ChiSquare: + Delta = 1, Mu = 0.0036287993, Sigma = 1 + +----------------------------------------------- +Test Results for Delta = 1.0000 + +Number of degrees of freedom : 3628799 +Value of the statistic : 5.82e+6 +p-value of test : eps ***** + + +----------------------------------------------- +CPU time used : 00:03:54.95 + +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 : 305345181 +p-value of test : eps ***** + + +----------------------------- +Total number of cells containing j balls + + j = 0 : 1743471169181 + j = 1 : 9471723 + j = 2 : 13914884 + j = 3 : 11246083 + j = 4 : 14932209 + j = 5 : 35018444 + +----------------------------------------------- +CPU time used : 00:04:56.35 + +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 : 34582 +p-value of test : 1 - eps1 ***** + + +----------------------------- +Total number of cells containing j balls + + j = 0 : 1743165858582 + j = 1 : 399930836 + j = 2 : 34582 + j = 3 : 0 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:05:53.25 + +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+ : 0.073 +p-value of test : 0.62 + +Kolmogorov-Smirnov- statistic = D- : 0.081 +p-value of test : 0.56 + +Anderson-Darling statistic = A2 : 0.31 +p-value of test : 0.93 + +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+ : 0.033 +p-value of test : 0.90 + +Kolmogorov-Smirnov- statistic = D- : 0.80 +p-value of test : 1.3e-28 ***** + +Anderson-Darling statistic = A2 : 55.60 +p-value of test : 9.3e-26 ***** + + +----------------------------------------------- +CPU time used : 00:04:06.17 + +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+ : 3.88e-4 +p-value of test : 0.9996 ***** + +Kolmogorov-Smirnov- statistic = D- : 0.59 +p-value of test : 1.3e-10 ***** + +Anderson-Darling statistic = A2 : 27.03 +p-value of test : 3.4e-13 ***** + +Test on the sum of all N observations +Number of degrees of freedom : 2999970 +Chi-square statistic : 3.02e+6 +p-value of test : 2.7e-14 ***** + + +----------------------------------------------- +Test results for Anderson-Darling: + +Kolmogorov-Smirnov+ statistic = D+ : 0.93 +p-value of test : 6.9e-35 ***** + +Kolmogorov-Smirnov- statistic = D- : 0.045 +p-value of test : 0.86 + +Anderson-Darling statistic = A2 : 55.71 +p-value of test : 8.4e-26 ***** + + +----------------------------------------------- +CPU time used : 00:04:00.42 + +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 : 0.46 + +Kolmogorov-Smirnov- statistic = D- : 0.090 +p-value of test : 0.68 + +Anderson-Darling statistic = A2 : 0.47 +p-value of test : 0.77 + +Test on the sum of all N observations +Number of degrees of freedom : 1999980 +Chi-square statistic : 2.00e+6 +p-value of test : 0.60 + + +----------------------------------------------- +Test results for Anderson-Darling: + +Kolmogorov-Smirnov+ statistic = D+ : 0.39 +p-value of test : 1.7e-3 + +Kolmogorov-Smirnov- statistic = D- : 0.46 +p-value of test : 9.4e-5 ***** + +Anderson-Darling statistic = A2 : 5.96 +p-value of test : 1.1e-3 + + +----------------------------------------------- +CPU time used : 00:03:08.30 + +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+ : 1.14e-3 +p-value of test : 0.9988 + +Kolmogorov-Smirnov- statistic = D- : 0.44 +p-value of test : 2.2e-4 ***** + +Anderson-Darling statistic = A2 : 12.78 +p-value of test : 7.7e-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 : 9.2e-8 ***** + + +----------------------------------------------- +Test results for Anderson-Darling: + +Kolmogorov-Smirnov+ statistic = D+ : 0.99 +p-value of test : 8.2e-42 ***** + +Kolmogorov-Smirnov- statistic = D- : 4.59e-3 +p-value of test : 0.9950 + +Anderson-Darling statistic = A2 : 77.04 +p-value of test : 3.9e-35 ***** + + +----------------------------------------------- +CPU time used : 00:03:39.69 + +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 : 8.2e-9 ***** + +Kolmogorov-Smirnov- statistic = D- : 0.38 +p-value of test : 4.8e-6 ***** + +Anderson-Darling statistic = A2 : 12.68 +p-value of test : 8.5e-7 ***** + +----------------------------------------------- +CPU time used : 00:03:08.46 + +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 :3.0e-105 ***** + +Kolmogorov-Smirnov- statistic = D- : 3.16e-6 +p-value of test : 1 - 3.2e-6 ***** + +Anderson-Darling statistic = A2 : 225.43 +p-value of test :8.2e-100 ***** + +----------------------------------------------- +CPU time used : 00:02:13.02 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +svaria_SampleProd test: +----------------------------------------------- + N = 20, n = 10000000, r = 0, t = 24 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 1.00 +p-value of test : 4.4e-47 ***** + +Kolmogorov-Smirnov- statistic = D- : 1.99e-3 +p-value of test : 0.9979 + +Anderson-Darling statistic = A2 : 92.40 +p-value of test : 7.6e-42 ***** + +----------------------------------------------- +CPU time used : 00:02:50.97 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +svaria_SampleMean test: +----------------------------------------------- + N = 20000000, n = 30, r = 0 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 3.80e-4 +p-value of test : 3.1e-3 + +Kolmogorov-Smirnov- statistic = D- : 3.95e-4 +p-value of test : 1.9e-3 + +Anderson-Darling statistic = A2 : 5.89 +p-value of test : 1.1e-3 + +----------------------------------------------- +CPU time used : 00:00:41.68 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +svaria_SampleMean test: +----------------------------------------------- + N = 20000000, n = 30, r = 10 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 1.32e-4 +p-value of test : 0.50 + +Kolmogorov-Smirnov- statistic = D- : 1.27e-4 +p-value of test : 0.52 + +Anderson-Darling statistic = A2 : 0.44 +p-value of test : 0.81 + +----------------------------------------------- +CPU time used : 00:00:44.52 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +svaria_SampleCorr test: +----------------------------------------------- + N = 1, n = 2000000000, r = 0, k = 1 + + +----------------------------------------------- +Normal statistic : 2.02e-3 +p-value of test : 0.50 + +----------------------------------------------- +CPU time used : 00:00:44.36 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +svaria_SampleCorr test: +----------------------------------------------- + N = 1, n = 2000000000, r = 0, k = 2 + + +----------------------------------------------- +Normal statistic : -0.033 +p-value of test : 0.51 + +----------------------------------------------- +CPU time used : 00:00:44.70 + +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 : 116.36 +p-value of test : eps ***** + +----------------------------------------------- +CPU time used : 00:02:33.72 + +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 : 1.57 +p-value of test : 0.06 + +----------------------------------------------- +CPU time used : 00:02:37.65 + +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 :42442.66 +p-value of test : eps ***** + +----------------------------------------------- +CPU time used : 00:01:43.25 + +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 : 65.59 +p-value of test : 0.53 + +----------------------------------------------- +CPU time used : 00:02:13.61 + +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 : 77.49 +p-value of test : 0.18 + +----------------------------------------------- +CPU time used : 00:02:13.15 + +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 :15443.26 +p-value of test : eps ***** + +----------------------------------------------- +CPU time used : 00:01:43.04 + +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 : 257.24 +p-value of test : eps ***** + +----------------------------------------------- +CPU time used : 00:02:12.18 + +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 : 43.45 +p-value of test : 0.22 + +----------------------------------------------- +CPU time used : 00:02:12.68 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +svaria_SumCollector test: +----------------------------------------------- + N = 1, n = 500000000, r = 0, g = 10 + + +----------------------------------------------- +Number of degrees of freedom : 29 +Chi-square statistic :13206.45 +p-value of test : eps ***** + +----------------------------------------------- +CPU time used : 00:03:25.83 + +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+ : 0.13 +p-value of test : 0.66 + +Kolmogorov-Smirnov- statistic = D- : 0.20 +p-value of test : 0.41 + +Anderson-Darling statistic = A2 : 0.45 +p-value of test : 0.79 + +Test on the sum of all N observations +Number of degrees of freedom : 40 +Chi-square statistic : 41.47 +p-value of test : 0.41 + +----------------------------------------------- +CPU time used : 00:01:52.50 + +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+ : 0.14 +p-value of test : 0.60 + +Kolmogorov-Smirnov- statistic = D- : 0.22 +p-value of test : 0.32 + +Anderson-Darling statistic = A2 : 0.34 +p-value of test : 0.90 + +Test on the sum of all N observations +Number of degrees of freedom : 40 +Chi-square statistic : 40.34 +p-value of test : 0.46 + +----------------------------------------------- +CPU time used : 00:01:51.99 + +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 : 3.35 +p-value of test : 0.34 + +----------------------------------------------- +CPU time used : 00:03:08.88 + +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 : 0.11 +p-value of test : 0.9900 + +----------------------------------------------- +CPU time used : 00:03:07.72 + +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 : 1.18 +p-value of test : 0.55 + +----------------------------------------------- +CPU time used : 00:02:10.88 + +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 : 3.92 +p-value of test : 0.14 + +----------------------------------------------- +CPU time used : 00:01:47.11 + +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+ : 0.31 +p-value of test : 0.11 + +Kolmogorov-Smirnov- statistic = D- : 0.091 +p-value of test : 0.80 + +Anderson-Darling statistic = A2 : 1.35 +p-value of test : 0.22 + +Test on the sum of all N observations +Number of degrees of freedom : 130 +Chi-square statistic : 115.32 +p-value of test : 0.82 + +----------------------------------------------- +CPU time used : 00:01:16.38 + +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+ : 0.16 +p-value of test : 0.55 + +Kolmogorov-Smirnov- statistic = D- : 0.15 +p-value of test : 0.60 + +Anderson-Darling statistic = A2 : 0.19 +p-value of test : 0.9917 + +Test on the sum of all N observations +Number of degrees of freedom : 17430 +Chi-square statistic :17431.65 +p-value of test : 0.50 + + + +----------------------------------------------- +CPU time used : 00:02:03.34 + +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 : 1036.33 +p-value of test : eps ***** + + +----------------------------------------------- +Test on the values of the Statistic M + +Number of degrees of freedom : 35 +ChiSquare statistic : 495.63 +p-value of test : eps ***** + + +----------------------------------------------- +Test on the values of the Statistic J + +Number of degrees of freedom : 25 +ChiSquare statistic : 301.69 +p-value of test : eps ***** + + +----------------------------------------------- +Test on the values of the Statistic R + +Number of degrees of freedom : 24 +ChiSquare statistic : 569.87 +p-value of test : eps ***** + + +----------------------------------------------- +Test on the values of the Statistic C + +Number of degrees of freedom : 17 +ChiSquare statistic : 426.70 +p-value of test : eps ***** + + +----------------------------------------------- +CPU time used : 00:01:01.50 + +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 : 39.46 +p-value of test : 0.32 + + +----------------------------------------------- +Test on the values of the Statistic M + +Number of degrees of freedom : 35 +ChiSquare statistic : 22.32 +p-value of test : 0.95 + + +----------------------------------------------- +Test on the values of the Statistic J + +Number of degrees of freedom : 25 +ChiSquare statistic : 12.90 +p-value of test : 0.98 + + +----------------------------------------------- +Test on the values of the Statistic R + +Number of degrees of freedom : 24 +ChiSquare statistic : 16.82 +p-value of test : 0.86 + + +----------------------------------------------- +Test on the values of the Statistic C + +Number of degrees of freedom : 17 +ChiSquare statistic : 8.82 +p-value of test : 0.95 + + +----------------------------------------------- +CPU time used : 00:01:02.56 + +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 : 212.90 +p-value of test : 2.5e-4 ***** + + +----------------------------------------------- +Test on the values of the Statistic M + +Number of degrees of freedom : 146 +ChiSquare statistic : 199.47 +p-value of test : 2.2e-3 + + +----------------------------------------------- +Test on the values of the Statistic J + +Number of degrees of freedom : 500 +ChiSquare statistic : 503.49 +p-value of test : 0.45 + + +----------------------------------------------- +Test on the values of the Statistic R + +Number of degrees of freedom : 136 +ChiSquare statistic : 165.55 +p-value of test : 0.04 + + +----------------------------------------------- +Test on the values of the Statistic C + +Number of degrees of freedom : 74 +ChiSquare statistic : 102.70 +p-value of test : 0.02 + + +----------------------------------------------- +CPU time used : 00:01:18.34 + +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 : 148.64 +p-value of test : 0.42 + + +----------------------------------------------- +Test on the values of the Statistic M + +Number of degrees of freedom : 146 +ChiSquare statistic : 138.36 +p-value of test : 0.66 + + +----------------------------------------------- +Test on the values of the Statistic J + +Number of degrees of freedom : 500 +ChiSquare statistic : 447.81 +p-value of test : 0.95 + + +----------------------------------------------- +Test on the values of the Statistic R + +Number of degrees of freedom : 136 +ChiSquare statistic : 131.76 +p-value of test : 0.59 + + +----------------------------------------------- +Test on the values of the Statistic C + +Number of degrees of freedom : 74 +ChiSquare statistic : 72.11 +p-value of test : 0.54 + + +----------------------------------------------- +CPU time used : 00:01:18.97 + +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 : 428.71 +p-value of test : 0.06 + + +----------------------------------------------- +Test on the values of the Statistic M + +Number of degrees of freedom : 384 +ChiSquare statistic : 394.97 +p-value of test : 0.34 + + +----------------------------------------------- +Test on the values of the Statistic J + +Number of degrees of freedom : 5000 +ChiSquare statistic : 4899.91 +p-value of test : 0.84 + + +----------------------------------------------- +Test on the values of the Statistic R + +Number of degrees of freedom : 378 +ChiSquare statistic : 387.49 +p-value of test : 0.36 + + +----------------------------------------------- +Test on the values of the Statistic C + +Number of degrees of freedom : 200 +ChiSquare statistic : 197.49 +p-value of test : 0.54 + + +----------------------------------------------- +CPU time used : 00:01:05.36 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +swalk_RandomWalk1 test: +----------------------------------------------- + N = 1, n = 1000000, r = 15, s = 15, L0 = 10000, L1 = 10000 + + + +----------------------------------------------- +Test on the values of the Statistic H + +Number of degrees of freedom : 384 +ChiSquare statistic : 366.32 +p-value of test : 0.73 + + +----------------------------------------------- +Test on the values of the Statistic M + +Number of degrees of freedom : 384 +ChiSquare statistic : 373.37 +p-value of test : 0.64 + + +----------------------------------------------- +Test on the values of the Statistic J + +Number of degrees of freedom : 5000 +ChiSquare statistic : 4849.60 +p-value of test : 0.93 + + +----------------------------------------------- +Test on the values of the Statistic R + +Number of degrees of freedom : 378 +ChiSquare statistic : 349.96 +p-value of test : 0.85 + + +----------------------------------------------- +Test on the values of the Statistic C + +Number of degrees of freedom : 200 +ChiSquare statistic : 206.66 +p-value of test : 0.36 + + +----------------------------------------------- +CPU time used : 00:01:06.09 + +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 : 21.36 +p-value of test : 0.05 + + +----------------------------------------------- +Normal statistic for number of jumps : 1.66 +p-value of test : 0.05 + + + +----------------------------------------------- +CPU time used : 00:03:04.52 + +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 : 20.04 +p-value of test : 0.07 + + +----------------------------------------------- +Normal statistic for number of jumps : -2.42 +p-value of test : 0.9922 + + + +----------------------------------------------- +CPU time used : 00:03:04.34 + +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+ : 0.13 +p-value of test : 0.67 + +Kolmogorov-Smirnov- statistic = D- : 0.29 +p-value of test : 0.15 + +Anderson-Darling statistic = A2 : 0.73 +p-value of test : 0.53 + +Tests on the sum of all N observations +Standardized normal statistic : 0.59 +p-value of test : 0.28 + +Sample variance : 0.89 +p-value of test : 0.53 + +----------------------------------------------- +CPU time used : 00:01:01.02 + +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+ : 0.14 +p-value of test : 0.64 + +Kolmogorov-Smirnov- statistic = D- : 0.35 +p-value of test : 0.07 + +Anderson-Darling statistic = A2 : 1.24 +p-value of test : 0.25 + +Tests on the sum of all N observations +Standardized normal statistic : 0.96 +p-value of test : 0.17 + +Sample variance : 0.52 +p-value of test : 0.86 + +----------------------------------------------- +CPU time used : 00:01:14.40 + +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+ : 0.033 +p-value of test : 1.2e-4 ***** + +Kolmogorov-Smirnov- statistic = D- : 0.019 +p-value of test : 0.05 + +Anderson-Darling statistic = A2 : 7.31 +p-value of test : 2.5e-4 ***** + +----------------------------------------------- +CPU time used : 00:00:57.29 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sspectral_Fourier3 test: +----------------------------------------------- + N = 100000, n = 16384, r = 27, s = 3, k = 14 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.021 +p-value of test : 0.02 + +Kolmogorov-Smirnov- statistic = D- : 8.32e-3 +p-value of test : 0.56 + +Anderson-Darling statistic = A2 : 3.16 +p-value of test : 0.02 + +----------------------------------------------- +CPU time used : 00:00:55.84 + +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 : 00:01:56.29 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sstring_LongestHeadRun test: +----------------------------------------------- + N = 1, n = 1000, r = 27, s = 3, L = 10000020 + + +----------------------------------------------- +Number of degrees of freedom : 8 +Chi-square statistic : 9.00 +p-value of test : 0.34 + +----------------------------------------------- +Global longest run of 1 : 34.00 +p-value of test : 0.25 + + + +----------------------------------------------- +CPU time used : 00:01:59.79 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sstring_PeriodsInStrings test: +----------------------------------------------- + N = 10, n = 500000000, r = 0, s = 10 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.93 +p-value of test : 3.5e-12 ***** + +Kolmogorov-Smirnov- statistic = D- : 4.89e-6 +p-value of test : 1 - 4.9e-6 ***** + +Anderson-Darling statistic = A2 : 29.28 +p-value of test : 3.5e-14 ***** + +Test on the sum of all N observations +Number of degrees of freedom : 200 +Chi-square statistic : 82.29 +p-value of test : 1 - 6.6e-15 ***** + +----------------------------------------------- +CPU time used : 00:03:25.29 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sstring_PeriodsInStrings test: +----------------------------------------------- + N = 10, n = 500000000, r = 20, s = 10 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.089 +p-value of test : 0.81 + +Kolmogorov-Smirnov- statistic = D- : 0.17 +p-value of test : 0.52 + +Anderson-Darling statistic = A2 : 0.26 +p-value of test : 0.96 + +Test on the sum of all N observations +Number of degrees of freedom : 200 +Chi-square statistic : 202.52 +p-value of test : 0.44 + +----------------------------------------------- +CPU time used : 00:03:27.18 + +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+ : 0.75 +p-value of test : 1.2e-6 ***** + +Kolmogorov-Smirnov- statistic = D- : 0.045 +p-value of test : 0.93 + +Anderson-Darling statistic = A2 : 9.65 +p-value of test : 2.2e-5 ***** + +Test on the sum of all N observations +Number of degrees of freedom : 10000 +Chi-square statistic : 9480.84 +p-value of test : 1 - 9.5e-5 ***** + +----------------------------------------------- +CPU time used : 00:01:17.59 + +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+ : 0.22 +p-value of test : 0.34 + +Kolmogorov-Smirnov- statistic = D- : 0.15 +p-value of test : 0.58 + +Anderson-Darling statistic = A2 : 0.87 +p-value of test : 0.43 + +Test on the sum of all N observations +Number of degrees of freedom : 10000 +Chi-square statistic : 9973.75 +p-value of test : 0.57 + +----------------------------------------------- +CPU time used : 00:01:21.04 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sstring_HammingCorr test: +----------------------------------------------- + N = 1, n = 1000000000, r = 10, s = 10, L = 30 + + + +----------------------------------------------- +Normal statistic : 0.57 +p-value of test : 0.29 + +----------------------------------------------- +CPU time used : 00:01:35.84 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sstring_HammingCorr test: +----------------------------------------------- + N = 1, n = 100000000, r = 10, s = 10, L = 300 + + + +----------------------------------------------- +Normal statistic : -1.57 +p-value of test : 0.94 + +----------------------------------------------- +CPU time used : 00:01:29.61 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sstring_HammingCorr test: +----------------------------------------------- + N = 1, n = 100000000, r = 10, s = 10, L = 1200 + + + +----------------------------------------------- +Normal statistic : -0.34 +p-value of test : 0.63 + +----------------------------------------------- +CPU time used
<TRUNCATED>
