http://git-wip-us.apache.org/repos/asf/commons-rng/blob/4e1eaeb9/src/site/resources/txt/userguide/stress/tu/run_2/tu_3 ---------------------------------------------------------------------- diff --git a/src/site/resources/txt/userguide/stress/tu/run_2/tu_3 b/src/site/resources/txt/userguide/stress/tu/run_2/tu_3 index 8ca22c4..fd13727 100644 --- a/src/site/resources/txt/userguide/stress/tu/run_2/tu_3 +++ b/src/site/resources/txt/userguide/stress/tu/run_2/tu_3 @@ -1,12 +1,12 @@ # -# RNG: org.apache.commons.math4.rng.internal.source32.Well512a +# RNG: org.apache.commons.rng.internal.source32.Well512a # # 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 +# Analyzer: ./stdin2testu01 BigCrush # xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx Starting BigCrush @@ -42,11 +42,11 @@ Test Results for Delta = 1.0000 Number of degrees of freedom : 16711680 Value of the statistic : 1.67e+7 -p-value of test : 0.34 +p-value of test : 0.02 ----------------------------------------------- -CPU time used : 00:02:10.91 +CPU time used : 00:02:26.28 Generator state: N/A @@ -81,11 +81,11 @@ Test Results for Delta = 1.0000 Number of degrees of freedom : 16711680 Value of the statistic : 1.67e+7 -p-value of test : 0.59 +p-value of test : 0.08 ----------------------------------------------- -CPU time used : 00:02:17.60 +CPU time used : 00:02:32.93 Generator state: N/A @@ -123,21 +123,21 @@ Results of CollisionOver test: POISSON approximation : Expected number of collisions = N*Mu : 1364.24 -Observed number of collisions : 1277 -p-value of test : 0.9911 +Observed number of collisions : 1356 +p-value of test : 0.58 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334397 - j = 1 : 599997446 - j = 2 : 1277 + j = 0 : 131940795334476 + j = 1 : 599997288 + j = 2 : 1356 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:16.17 +CPU time used : 00:06:51.44 Generator state: N/A @@ -175,21 +175,21 @@ Results of CollisionOver test: POISSON approximation : Expected number of collisions = N*Mu : 1364.24 -Observed number of collisions : 1356 -p-value of test : 0.58 +Observed number of collisions : 1395 +p-value of test : 0.21 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334476 - j = 1 : 599997288 - j = 2 : 1356 + j = 0 : 131940795334515 + j = 1 : 599997210 + j = 2 : 1395 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:06:01.99 +CPU time used : 00:06:50.33 Generator state: N/A @@ -227,21 +227,21 @@ Results of CollisionOver test: POISSON approximation : Expected number of collisions = N*Mu : 1364.24 -Observed number of collisions : 1387 -p-value of test : 0.27 +Observed number of collisions : 1333 +p-value of test : 0.80 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334507 - j = 1 : 599997226 - j = 2 : 1387 + j = 0 : 131940795334453 + j = 1 : 599997334 + j = 2 : 1333 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:07:14.16 +CPU time used : 00:08:30.60 Generator state: N/A @@ -279,21 +279,21 @@ Results of CollisionOver test: POISSON approximation : Expected number of collisions = N*Mu : 1364.24 -Observed number of collisions : 1389 -p-value of test : 0.25 +Observed number of collisions : 1376 +p-value of test : 0.38 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334509 - j = 1 : 599997222 - j = 2 : 1389 + j = 0 : 131940795334496 + j = 1 : 599997248 + j = 2 : 1376 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:06:17.19 +CPU time used : 00:08:21.55 Generator state: N/A @@ -331,21 +331,21 @@ Results of CollisionOver test: POISSON approximation : Expected number of collisions = N*Mu : 1364.24 -Observed number of collisions : 1352 -p-value of test : 0.62 +Observed number of collisions : 1370 +p-value of test : 0.44 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334472 - j = 1 : 599997296 - j = 2 : 1352 + j = 0 : 131940795334490 + j = 1 : 599997260 + j = 2 : 1370 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:08:26.05 +CPU time used : 00:09:17.55 Generator state: N/A @@ -397,7 +397,7 @@ Total number of cells containing j balls j = 5 : 0 ----------------------------------------------- -CPU time used : 00:07:57.48 +CPU time used : 00:09:45.80 Generator state: N/A @@ -435,21 +435,21 @@ Results of CollisionOver test: POISSON approximation : Expected number of collisions = N*Mu : 1364.24 -Observed number of collisions : 1431 -p-value of test : 0.04 +Observed number of collisions : 1391 +p-value of test : 0.24 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334551 - j = 1 : 599997138 - j = 2 : 1431 + j = 0 : 131940795334511 + j = 1 : 599997218 + j = 2 : 1391 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:08:57.92 +CPU time used : 00:08:43.65 Generator state: N/A @@ -487,21 +487,21 @@ Results of CollisionOver test: POISSON approximation : Expected number of collisions = N*Mu : 1364.24 -Observed number of collisions : 1391 -p-value of test : 0.24 +Observed number of collisions : 1341 +p-value of test : 0.73 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334511 - j = 1 : 599997218 - j = 2 : 1391 + j = 0 : 131940795334461 + j = 1 : 599997318 + j = 2 : 1341 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:06:34.30 +CPU time used : 00:09:49.60 Generator state: N/A @@ -539,21 +539,21 @@ Results of CollisionOver test: POISSON approximation : Expected number of collisions = N*Mu : 1364.24 -Observed number of collisions : 1386 -p-value of test : 0.28 +Observed number of collisions : 1375 +p-value of test : 0.39 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334506 - j = 1 : 599997228 - j = 2 : 1386 + j = 0 : 131940795334495 + j = 1 : 599997250 + j = 2 : 1375 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:07:44.36 +CPU time used : 00:10:08.73 Generator state: N/A @@ -591,21 +591,21 @@ Results of CollisionOver test: POISSON approximation : Expected number of collisions = N*Mu : 1364.24 -Observed number of collisions : 1349 -p-value of test : 0.65 +Observed number of collisions : 1323 +p-value of test : 0.87 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334469 - j = 1 : 599997302 - j = 2 : 1349 + j = 0 : 131940795334443 + j = 1 : 599997354 + j = 2 : 1323 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:07:27.22 +CPU time used : 00:09:27.42 Generator state: N/A @@ -629,12 +629,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 5421.01 -Total observed number : 5409 -p-value of test : 0.56 +Total observed number : 5456 +p-value of test : 0.32 ----------------------------------------------- -CPU time used : 00:05:13.60 +CPU time used : 00:05:40.36 Generator state: N/A @@ -658,12 +658,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4331 -p-value of test : 0.53 +Total observed number : 4269 +p-value of test : 0.85 ----------------------------------------------- -CPU time used : 00:02:18.06 +CPU time used : 00:02:29.48 Generator state: N/A @@ -687,12 +687,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7273 -p-value of test : 0.70 +Total observed number : 7265 +p-value of test : 0.73 ----------------------------------------------- -CPU time used : 00:03:54.75 +CPU time used : 00:04:13.67 Generator state: N/A @@ -716,12 +716,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4122 -p-value of test : 0.9995 ***** +Total observed number : 4331 +p-value of test : 0.53 ----------------------------------------------- -CPU time used : 00:02:52.10 +CPU time used : 00:03:07.31 Generator state: N/A @@ -745,12 +745,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 4286 -p-value of test : 0.78 +Total observed number : 4320 +p-value of test : 0.60 ----------------------------------------------- -CPU time used : 00:02:54.09 +CPU time used : 00:03:19.56 Generator state: N/A @@ -774,12 +774,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7230 -p-value of test : 0.85 +Total observed number : 7461 +p-value of test : 0.05 ----------------------------------------------- -CPU time used : 00:04:15.00 +CPU time used : 00:05:19.72 Generator state: N/A @@ -803,12 +803,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7360 -p-value of test : 0.31 +Total observed number : 7312 +p-value of test : 0.53 ----------------------------------------------- -CPU time used : 00:04:04.88 +CPU time used : 00:05:20.97 Generator state: N/A @@ -832,12 +832,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7403 -p-value of test : 0.16 +Total observed number : 7389 +p-value of test : 0.21 ----------------------------------------------- -CPU time used : 00:05:08.97 +CPU time used : 00:06:51.64 Generator state: N/A @@ -861,12 +861,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 7460 -p-value of test : 0.05 +Total observed number : 7362 +p-value of test : 0.31 ----------------------------------------------- -CPU time used : 00:05:29.90 +CPU time used : 00:07:36.87 Generator state: N/A @@ -887,34 +887,34 @@ snpair_ClosePairs test: --------------------------------------- Test based on the 2 nearest points (NP): -Stat. AD on the N values (NP) : 0.46 -p-value of test : 0.78 +Stat. AD on the N values (NP) : 2.47 +p-value of test : 0.05 A2 test based on the spacings between the successive jump times of process Y_n(t): -A2 test on the values of A2 (m-NP) : 1.47 -p-value of test : 0.18 +A2 test on the values of A2 (m-NP) : 0.68 +p-value of test : 0.57 -Test on the Nm values of W_{n,i}(mNP1): 0.63 -p-value of test : 0.62 +Test on the Nm values of W_{n,i}(mNP1): 1.80 +p-value of test : 0.12 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 900 -Number of jumps of Y : 868 -p-value of test : 0.85 +Number of jumps of Y : 954 +p-value of test : 0.04 -Stat. AD (mNP2) : 0.60 -p-value of test : 0.65 +Stat. AD (mNP2) : 0.63 +p-value of test : 0.62 -Stat. AD after spacings (mNP2-S) : 1.11 +Stat. AD after spacings (mNP2-S) : 1.09 p-value of test : 0.31 ----------------------------------------------- -CPU time used : 00:03:27.42 +CPU time used : 00:04:33.75 Generator state: N/A @@ -935,34 +935,34 @@ snpair_ClosePairs test: --------------------------------------- Test based on the 2 nearest points (NP): -Stat. AD on the N values (NP) : 1.50 -p-value of test : 0.18 +Stat. AD on the N values (NP) : 0.55 +p-value of test : 0.69 A2 test based on the spacings between the successive jump times of process Y_n(t): -A2 test on the values of A2 (m-NP) : 0.33 -p-value of test : 0.91 +A2 test on the values of A2 (m-NP) : 0.46 +p-value of test : 0.79 -Test on the Nm values of W_{n,i}(mNP1): 3.58 -p-value of test : 0.01 +Test on the Nm values of W_{n,i}(mNP1): 2.61 +p-value of test : 0.04 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 600 -Number of jumps of Y : 549 -p-value of test : 0.98 +Number of jumps of Y : 558 +p-value of test : 0.96 -Stat. AD (mNP2) : 0.84 -p-value of test : 0.46 +Stat. AD (mNP2) : 0.27 +p-value of test : 0.96 -Stat. AD after spacings (mNP2-S) : 1.13 -p-value of test : 0.30 +Stat. AD after spacings (mNP2-S) : 0.47 +p-value of test : 0.78 ----------------------------------------------- -CPU time used : 00:02:06.61 +CPU time used : 00:02:47.12 Generator state: N/A @@ -983,34 +983,34 @@ snpair_ClosePairs test: --------------------------------------- Test based on the 2 nearest points (NP): -Stat. AD on the N values (NP) : 0.32 -p-value of test : 0.92 +Stat. AD on the N values (NP) : 0.83 +p-value of test : 0.46 A2 test based on the spacings between the successive jump times of process Y_n(t): -A2 test on the values of A2 (m-NP) : 0.32 -p-value of test : 0.92 +A2 test on the values of A2 (m-NP) : 0.51 +p-value of test : 0.73 -Test on the Nm values of W_{n,i}(mNP1): 0.60 -p-value of test : 0.65 +Test on the Nm values of W_{n,i}(mNP1): 1.11 +p-value of test : 0.30 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 300 -Number of jumps of Y : 318 -p-value of test : 0.16 +Number of jumps of Y : 321 +p-value of test : 0.12 -Stat. AD (mNP2) : 0.63 -p-value of test : 0.62 +Stat. AD (mNP2) : 2.07 +p-value of test : 0.08 -Stat. AD after spacings (mNP2-S) : 0.28 -p-value of test : 0.95 +Stat. AD after spacings (mNP2-S) : 1.20 +p-value of test : 0.27 ----------------------------------------------- -CPU time used : 00:03:06.21 +CPU time used : 00:04:38.47 Generator state: N/A @@ -1031,34 +1031,34 @@ snpair_ClosePairs test: --------------------------------------- Test based on the 2 nearest points (NP): -Stat. AD on the N values (NP) : 0.65 -p-value of test : 0.60 +Stat. AD on the N values (NP) : 1.25 +p-value of test : 0.25 A2 test based on the spacings between the successive jump times of process Y_n(t): -A2 test on the values of A2 (m-NP) : 0.81 -p-value of test : 0.46 +A2 test on the values of A2 (m-NP) : 0.59 +p-value of test : 0.65 -Test on the Nm values of W_{n,i}(mNP1): 0.86 -p-value of test : 0.44 +Test on the Nm values of W_{n,i}(mNP1): 0.28 +p-value of test : 0.96 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 150 -Number of jumps of Y : 155 -p-value of test : 0.35 +Number of jumps of Y : 153 +p-value of test : 0.41 -Stat. AD (mNP2) : 0.55 -p-value of test : 0.69 +Stat. AD (mNP2) : 0.33 +p-value of test : 0.91 -Stat. AD after spacings (mNP2-S) : 1.83 -p-value of test : 0.11 +Stat. AD after spacings (mNP2-S) : 1.11 +p-value of test : 0.30 ----------------------------------------------- -CPU time used : 00:03:20.96 +CPU time used : 00:04:41.27 Generator state: N/A @@ -1078,11 +1078,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 7 -Chi-square statistic : 5.82 -p-value of test : 0.56 +Chi-square statistic : 3.57 +p-value of test : 0.83 ----------------------------------------------- -CPU time used : 00:01:18.31 +CPU time used : 00:01:41.26 Generator state: N/A @@ -1102,11 +1102,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 7 -Chi-square statistic : 5.53 -p-value of test : 0.60 +Chi-square statistic : 6.27 +p-value of test : 0.51 ----------------------------------------------- -CPU time used : 00:01:31.72 +CPU time used : 00:02:00.54 Generator state: N/A @@ -1126,11 +1126,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 18 -Chi-square statistic : 20.07 -p-value of test : 0.33 +Chi-square statistic : 15.16 +p-value of test : 0.65 ----------------------------------------------- -CPU time used : 00:01:18.56 +CPU time used : 00:01:37.88 Generator state: N/A @@ -1150,11 +1150,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 18 -Chi-square statistic : 8.60 -p-value of test : 0.97 +Chi-square statistic : 13.21 +p-value of test : 0.78 ----------------------------------------------- -CPU time used : 00:01:28.85 +CPU time used : 00:01:56.55 Generator state: N/A @@ -1174,11 +1174,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 44.57 -p-value of test : 0.82 +Chi-square statistic : 57.47 +p-value of test : 0.35 ----------------------------------------------- -CPU time used : 00:01:42.47 +CPU time used : 00:02:08.81 Generator state: N/A @@ -1198,11 +1198,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 44.56 -p-value of test : 0.82 +Chi-square statistic : 60.90 +p-value of test : 0.24 ----------------------------------------------- -CPU time used : 00:01:55.77 +CPU time used : 00:02:29.02 Generator state: N/A @@ -1222,11 +1222,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 64.40 -p-value of test : 0.16 +Chi-square statistic : 57.12 +p-value of test : 0.36 ----------------------------------------------- -CPU time used : 00:01:51.51 +CPU time used : 00:02:26.27 Generator state: N/A @@ -1246,11 +1246,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 52.21 -p-value of test : 0.54 +Chi-square statistic : 56.51 +p-value of test : 0.38 ----------------------------------------------- -CPU time used : 00:01:51.53 +CPU time used : 00:02:24.02 Generator state: N/A @@ -1270,11 +1270,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 232 -Chi-square statistic : 253.43 -p-value of test : 0.16 +Chi-square statistic : 193.90 +p-value of test : 0.97 ----------------------------------------------- -CPU time used : 00:02:04.29 +CPU time used : 00:02:41.71 Generator state: N/A @@ -1294,11 +1294,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 434 -Chi-square statistic : 440.09 -p-value of test : 0.41 +Chi-square statistic : 398.10 +p-value of test : 0.89 ----------------------------------------------- -CPU time used : 00:03:01.19 +CPU time used : 00:03:57.13 Generator state: N/A @@ -1318,11 +1318,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 1437 -Chi-square statistic : 1418.95 -p-value of test : 0.63 +Chi-square statistic : 1487.18 +p-value of test : 0.17 ----------------------------------------------- -CPU time used : 00:03:08.40 +CPU time used : 00:04:02.14 Generator state: N/A @@ -1342,11 +1342,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 7046 -Chi-square statistic : 7224.84 -p-value of test : 0.07 +Chi-square statistic : 6950.71 +p-value of test : 0.79 ----------------------------------------------- -CPU time used : 00:03:13.84 +CPU time used : 00:04:07.68 Generator state: N/A @@ -1366,22 +1366,22 @@ sknuth_Run test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.13 -p-value of test : 0.79 +Kolmogorov-Smirnov+ statistic = D+ : 0.21 +p-value of test : 0.56 -Kolmogorov-Smirnov- statistic = D- : 0.47 -p-value of test : 0.07 +Kolmogorov-Smirnov- statistic = D- : 0.14 +p-value of test : 0.76 -Anderson-Darling statistic = A2 : 1.05 -p-value of test : 0.33 +Anderson-Darling statistic = A2 : 0.28 +p-value of test : 0.95 Test on the sum of all N observations Number of degrees of freedom : 30 -Chi-square statistic : 37.91 -p-value of test : 0.15 +Chi-square statistic : 26.37 +p-value of test : 0.66 ----------------------------------------------- -CPU time used : 00:01:46.63 +CPU time used : 00:02:03.98 Generator state: N/A @@ -1401,22 +1401,22 @@ sknuth_Run test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.15 -p-value of test : 0.58 +Kolmogorov-Smirnov+ statistic = D+ : 0.034 +p-value of test : 0.95 -Kolmogorov-Smirnov- statistic = D- : 0.26 -p-value of test : 0.23 +Kolmogorov-Smirnov- statistic = D- : 0.31 +p-value of test : 0.11 -Anderson-Darling statistic = A2 : 0.74 -p-value of test : 0.52 +Anderson-Darling statistic = A2 : 0.95 +p-value of test : 0.38 Test on the sum of all N observations Number of degrees of freedom : 60 -Chi-square statistic : 69.38 -p-value of test : 0.19 +Chi-square statistic : 73.46 +p-value of test : 0.11 ----------------------------------------------- -CPU time used : 00:03:59.03 +CPU time used : 00:04:49.67 Generator state: N/A @@ -1450,12 +1450,12 @@ smultin_Multinomial test: Test Results for Delta = 1.0000 Number of degrees of freedom : 5 -Value of the statistic : 1.92 -p-value of test : 0.86 +Value of the statistic : 1.64 +p-value of test : 0.90 ----------------------------------------------- -CPU time used : 00:01:07.00 +CPU time used : 00:01:29.34 Generator state: N/A @@ -1489,12 +1489,12 @@ smultin_Multinomial test: Test Results for Delta = 1.0000 Number of degrees of freedom : 119 -Value of the statistic : 136.60 -p-value of test : 0.13 +Value of the statistic : 126.60 +p-value of test : 0.30 ----------------------------------------------- -CPU time used : 00:01:56.81 +CPU time used : 00:02:31.98 Generator state: N/A @@ -1528,12 +1528,12 @@ smultin_Multinomial test: Test Results for Delta = 1.0000 Number of degrees of freedom : 5039 -Value of the statistic : 5003.09 -p-value of test : 0.64 +Value of the statistic : 5065.63 +p-value of test : 0.39 ----------------------------------------------- -CPU time used : 00:01:32.94 +CPU time used : 00:01:53.96 Generator state: N/A @@ -1568,11 +1568,11 @@ Test Results for Delta = 1.0000 Number of degrees of freedom : 3628799 Value of the statistic : 3.63e+6 -p-value of test : 0.27 +p-value of test : 0.60 ----------------------------------------------- -CPU time used : 00:03:08.20 +CPU time used : 00:03:48.29 Generator state: N/A @@ -1607,22 +1607,22 @@ 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 : 45869 -p-value of test : 0.52 +Observed number of collisions : 46087 +p-value of test : 0.17 ----------------------------- Total number of cells containing j balls - j = 0 : 1743165869869 - j = 1 : 399908262 - j = 2 : 45869 - j = 3 : 0 + j = 0 : 1743165870087 + j = 1 : 399907829 + j = 2 : 46081 + j = 3 : 3 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:04:34.32 +CPU time used : 00:05:15.61 Generator state: N/A @@ -1657,22 +1657,22 @@ 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 : 46179 -p-value of test : 0.08 +Observed number of collisions : 45575 +p-value of test : 0.92 ----------------------------- Total number of cells containing j balls - j = 0 : 1743165870179 - j = 1 : 399907649 - j = 2 : 46165 - j = 3 : 7 + j = 0 : 1743165869575 + j = 1 : 399908852 + j = 2 : 45571 + j = 3 : 2 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:04:47.19 +CPU time used : 00:06:06.89 Generator state: N/A @@ -1696,36 +1696,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.059 -p-value of test : 0.73 +Kolmogorov-Smirnov+ statistic = D+ : 0.097 +p-value of test : 0.45 -Kolmogorov-Smirnov- statistic = D- : 0.14 -p-value of test : 0.20 +Kolmogorov-Smirnov- statistic = D- : 0.12 +p-value of test : 0.28 -Anderson-Darling statistic = A2 : 0.73 -p-value of test : 0.53 +Anderson-Darling statistic = A2 : 1.10 +p-value of test : 0.31 Test on the sum of all N observations Number of degrees of freedom : 3999960 Chi-square statistic : 4.00e+6 -p-value of test : 0.41 +p-value of test : 0.24 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.13 -p-value of test : 0.23 +Kolmogorov-Smirnov+ statistic = D+ : 0.011 +p-value of test : 0.98 -Kolmogorov-Smirnov- statistic = D- : 0.048 -p-value of test : 0.80 +Kolmogorov-Smirnov- statistic = D- : 0.14 +p-value of test : 0.20 -Anderson-Darling statistic = A2 : 0.98 -p-value of test : 0.37 +Anderson-Darling statistic = A2 : 1.14 +p-value of test : 0.29 ----------------------------------------------- -CPU time used : 00:03:22.40 +CPU time used : 00:04:29.69 Generator state: N/A @@ -1749,36 +1749,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.039 -p-value of test : 0.89 +Kolmogorov-Smirnov+ statistic = D+ : 0.059 +p-value of test : 0.78 -Kolmogorov-Smirnov- statistic = D- : 0.14 -p-value of test : 0.27 +Kolmogorov-Smirnov- statistic = D- : 0.16 +p-value of test : 0.19 -Anderson-Darling statistic = A2 : 0.42 -p-value of test : 0.83 +Anderson-Darling statistic = A2 : 0.76 +p-value of test : 0.51 Test on the sum of all N observations Number of degrees of freedom : 2999970 Chi-square statistic : 3.00e+6 -p-value of test : 0.29 +p-value of test : 0.20 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.096 -p-value of test : 0.54 +Kolmogorov-Smirnov+ statistic = D+ : 0.012 +p-value of test : 0.98 -Kolmogorov-Smirnov- statistic = D- : 0.054 -p-value of test : 0.81 +Kolmogorov-Smirnov- statistic = D- : 0.17 +p-value of test : 0.16 -Anderson-Darling statistic = A2 : 0.32 -p-value of test : 0.92 +Anderson-Darling statistic = A2 : 1.51 +p-value of test : 0.17 ----------------------------------------------- -CPU time used : 00:03:07.37 +CPU time used : 00:04:12.76 Generator state: N/A @@ -1803,35 +1803,35 @@ sknuth_MaxOft test: Test results for chi2 with 99999 degrees of freedom: Kolmogorov-Smirnov+ statistic = D+ : 0.17 -p-value of test : 0.30 +p-value of test : 0.29 -Kolmogorov-Smirnov- statistic = D- : 0.095 -p-value of test : 0.66 +Kolmogorov-Smirnov- statistic = D- : 0.096 +p-value of test : 0.65 -Anderson-Darling statistic = A2 : 0.95 -p-value of test : 0.38 +Anderson-Darling statistic = A2 : 0.66 +p-value of test : 0.59 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 -p-value of test : 0.85 +p-value of test : 0.40 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.073 -p-value of test : 0.77 +Kolmogorov-Smirnov+ statistic = D+ : 0.033 +p-value of test : 0.94 -Kolmogorov-Smirnov- statistic = D- : 0.13 -p-value of test : 0.48 +Kolmogorov-Smirnov- statistic = D- : 0.22 +p-value of test : 0.11 -Anderson-Darling statistic = A2 : 0.32 -p-value of test : 0.92 +Anderson-Darling statistic = A2 : 1.80 +p-value of test : 0.12 ----------------------------------------------- -CPU time used : 00:02:26.72 +CPU time used : 00:03:09.14 Generator state: N/A @@ -1855,36 +1855,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.25 -p-value of test : 0.07 +Kolmogorov-Smirnov+ statistic = D+ : 0.15 +p-value of test : 0.38 -Kolmogorov-Smirnov- statistic = D- : 0.054 -p-value of test : 0.86 +Kolmogorov-Smirnov- statistic = D- : 0.082 +p-value of test : 0.72 -Anderson-Darling statistic = A2 : 1.85 -p-value of test : 0.11 +Anderson-Darling statistic = A2 : 0.43 +p-value of test : 0.82 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 -p-value of test : 0.95 +p-value of test : 0.64 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.085 -p-value of test : 0.71 +Kolmogorov-Smirnov+ statistic = D+ : 0.17 +p-value of test : 0.29 -Kolmogorov-Smirnov- statistic = D- : 0.17 -p-value of test : 0.27 +Kolmogorov-Smirnov- statistic = D- : 0.093 +p-value of test : 0.67 -Anderson-Darling statistic = A2 : 1.11 -p-value of test : 0.30 +Anderson-Darling statistic = A2 : 0.58 +p-value of test : 0.67 ----------------------------------------------- -CPU time used : 00:02:55.39 +CPU time used : 00:03:38.95 Generator state: N/A @@ -1904,17 +1904,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.061 -p-value of test : 0.71 +Kolmogorov-Smirnov+ statistic = D+ : 0.11 +p-value of test : 0.35 -Kolmogorov-Smirnov- statistic = D- : 0.13 -p-value of test : 0.24 +Kolmogorov-Smirnov- statistic = D- : 0.071 +p-value of test : 0.64 -Anderson-Darling statistic = A2 : 0.83 -p-value of test : 0.46 +Anderson-Darling statistic = A2 : 0.47 +p-value of test : 0.77 ----------------------------------------------- -CPU time used : 00:02:27.69 +CPU time used : 00:03:06.62 Generator state: N/A @@ -1934,17 +1934,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.24 -p-value of test : 0.08 +Kolmogorov-Smirnov+ statistic = D+ : 0.10 +p-value of test : 0.61 -Kolmogorov-Smirnov- statistic = D- : 0.037 -p-value of test : 0.93 +Kolmogorov-Smirnov- statistic = D- : 0.25 +p-value of test : 0.06 -Anderson-Darling statistic = A2 : 2.04 -p-value of test : 0.09 +Anderson-Darling statistic = A2 : 1.90 +p-value of test : 0.10 ----------------------------------------------- -CPU time used : 00:01:44.82 +CPU time used : 00:02:10.48 Generator state: N/A @@ -1964,17 +1964,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.22 -p-value of test : 0.12 +Kolmogorov-Smirnov+ statistic = D+ : 0.29 +p-value of test : 0.03 -Kolmogorov-Smirnov- statistic = D- : 0.050 -p-value of test : 0.87 +Kolmogorov-Smirnov- statistic = D- : 0.11 +p-value of test : 0.57 -Anderson-Darling statistic = A2 : 1.33 -p-value of test : 0.22 +Anderson-Darling statistic = A2 : 2.29 +p-value of test : 0.06 ----------------------------------------------- -CPU time used : 00:02:10.45 +CPU time used : 00:02:46.95 Generator state: N/A @@ -1994,17 +1994,17 @@ svaria_SampleMean test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 2.50e-4 -p-value of test : 0.08 +Kolmogorov-Smirnov+ statistic = D+ : 8.12e-5 +p-value of test : 0.77 -Kolmogorov-Smirnov- statistic = D- : 1.04e-4 -p-value of test : 0.65 +Kolmogorov-Smirnov- statistic = D- : 2.42e-4 +p-value of test : 0.10 -Anderson-Darling statistic = A2 : 1.33 -p-value of test : 0.22 +Anderson-Darling statistic = A2 : 1.04 +p-value of test : 0.34 ----------------------------------------------- -CPU time used : 00:00:33.03 +CPU time used : 00:00:41.10 Generator state: N/A @@ -2024,17 +2024,17 @@ svaria_SampleMean test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 1.12e-4 -p-value of test : 0.61 +Kolmogorov-Smirnov+ statistic = D+ : 7.31e-5 +p-value of test : 0.81 -Kolmogorov-Smirnov- statistic = D- : 1.70e-4 -p-value of test : 0.32 +Kolmogorov-Smirnov- statistic = D- : 1.46e-4 +p-value of test : 0.42 -Anderson-Darling statistic = A2 : 0.74 -p-value of test : 0.52 +Anderson-Darling statistic = A2 : 0.28 +p-value of test : 0.95 ----------------------------------------------- -CPU time used : 00:00:35.48 +CPU time used : 00:00:44.14 Generator state: N/A @@ -2053,11 +2053,11 @@ svaria_SampleCorr test: ----------------------------------------------- -Normal statistic : -0.014 -p-value of test : 0.51 +Normal statistic : 1.55 +p-value of test : 0.06 ----------------------------------------------- -CPU time used : 00:00:35.18 +CPU time used : 00:00:45.13 Generator state: N/A @@ -2076,11 +2076,11 @@ svaria_SampleCorr test: ----------------------------------------------- -Normal statistic : -1.56 -p-value of test : 0.94 +Normal statistic : 0.13 +p-value of test : 0.45 ----------------------------------------------- -CPU time used : 00:00:32.40 +CPU time used : 00:00:44.76 Generator state: N/A @@ -2105,11 +2105,11 @@ svaria_AppearanceSpacings test: ----------------------------------------------- -Normal statistic : 1.48 -p-value of test : 0.07 +Normal statistic : 0.034 +p-value of test : 0.49 ----------------------------------------------- -CPU time used : 00:01:55.00 +CPU time used : 00:02:22.61 Generator state: N/A @@ -2134,11 +2134,11 @@ svaria_AppearanceSpacings test: ----------------------------------------------- -Normal statistic : -0.98 -p-value of test : 0.84 +Normal statistic : 1.34 +p-value of test : 0.09 ----------------------------------------------- -CPU time used : 00:01:58.14 +CPU time used : 00:02:27.31 Generator state: N/A @@ -2158,11 +2158,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 83.09 -p-value of test : 0.09 +Chi-square statistic : 78.99 +p-value of test : 0.15 ----------------------------------------------- -CPU time used : 00:01:20.12 +CPU time used : 00:01:44.78 Generator state: N/A @@ -2182,11 +2182,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 72.46 -p-value of test : 0.30 +Chi-square statistic : 73.31 +p-value of test : 0.28 ----------------------------------------------- -CPU time used : 00:01:36.04 +CPU time used : 00:02:09.87 Generator state: N/A @@ -2206,11 +2206,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 65.85 -p-value of test : 0.52 +Chi-square statistic : 74.41 +p-value of test : 0.25 ----------------------------------------------- -CPU time used : 00:01:39.11 +CPU time used : 00:02:08.69 Generator state: N/A @@ -2230,11 +2230,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 36.54 -p-value of test : 0.49 +Chi-square statistic : 30.71 +p-value of test : 0.76 ----------------------------------------------- -CPU time used : 00:01:19.04 +CPU time used : 00:01:43.23 Generator state: N/A @@ -2254,11 +2254,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 29.21 -p-value of test : 0.82 +Chi-square statistic : 39.71 +p-value of test : 0.35 ----------------------------------------------- -CPU time used : 00:01:38.39 +CPU time used : 00:02:09.10 Generator state: N/A @@ -2278,11 +2278,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 36.00 -p-value of test : 0.52 +Chi-square statistic : 33.25 +p-value of test : 0.65 ----------------------------------------------- -CPU time used : 00:01:38.62 +CPU time used : 00:02:08.27 Generator state: N/A @@ -2302,11 +2302,11 @@ svaria_SumCollector test: ----------------------------------------------- Number of degrees of freedom : 29 -Chi-square statistic : 24.68 -p-value of test : 0.69 +Chi-square statistic : 25.42 +p-value of test : 0.66 ----------------------------------------------- -CPU time used : 00:02:37.89 +CPU time used : 00:03:20.97 Generator state: N/A @@ -2326,22 +2326,22 @@ smarsa_MatrixRank test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.24 -p-value of test : 0.28 +Kolmogorov-Smirnov+ statistic = D+ : 0.27 +p-value of test : 0.20 -Kolmogorov-Smirnov- statistic = D- : 0.035 -p-value of test : 0.95 +Kolmogorov-Smirnov- statistic = D- : 0.20 +p-value of test : 0.40 -Anderson-Darling statistic = A2 : 1.23 -p-value of test : 0.25 +Anderson-Darling statistic = A2 : 0.82 +p-value of test : 0.46 Test on the sum of all N observations Number of degrees of freedom : 40 -Chi-square statistic : 31.77 -p-value of test : 0.82 +Chi-square statistic : 33.59 +p-value of test : 0.75 ----------------------------------------------- -CPU time used : 00:01:25.01 +CPU time used : 00:01:50.55 Generator state: N/A @@ -2361,22 +2361,22 @@ smarsa_MatrixRank test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.46 -p-value of test : 8.7e-3 +Kolmogorov-Smirnov+ statistic = D+ : 0.35 +p-value of test : 0.07 -Kolmogorov-Smirnov- statistic = D- : 0.13 -p-value of test : 0.67 +Kolmogorov-Smirnov- statistic = D- : 0.095 +p-value of test : 0.79 -Anderson-Darling statistic = A2 : 1.58 -p-value of test : 0.16 +Anderson-Darling statistic = A2 : 2.50 +p-value of test : 0.05 Test on the sum of all N observations Number of degrees of freedom : 40 -Chi-square statistic : 31.11 -p-value of test : 0.84 +Chi-square statistic : 35.41 +p-value of test : 0.68 ----------------------------------------------- -CPU time used : 00:01:28.09 +CPU time used : 00:01:50.86 Generator state: N/A @@ -2400,7 +2400,7 @@ Chi-square statistic : 9.41e+5 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:02:09.70 +CPU time used : 00:02:46.29 Generator state: N/A @@ -2424,7 +2424,7 @@ Chi-square statistic : 9.41e+5 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:02:07.48 +CPU time used : 00:02:46.59 Generator state: N/A @@ -2448,7 +2448,7 @@ Chi-square statistic : 518.64 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:00:48.05 +CPU time used : 00:01:08.79 Generator state: N/A @@ -2472,7 +2472,7 @@ Chi-square statistic : 518.64 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:00:33.36 +CPU time used : 00:00:45.46 Generator state: N/A @@ -2492,22 +2492,22 @@ smarsa_Savir2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.44 -p-value of test : 0.01 +Kolmogorov-Smirnov+ statistic = D+ : 0.21 +p-value of test : 0.38 -Kolmogorov-Smirnov- statistic = D- : 0.068 -p-value of test : 0.88 +Kolmogorov-Smirnov- statistic = D- : 0.022 +p-value of test : 0.97 -Anderson-Darling statistic = A2 : 3.70 -p-value of test : 0.01 +Anderson-Darling statistic = A2 : 0.83 +p-value of test : 0.45 Test on the sum of all N observations Number of degrees of freedom : 130 -Chi-square statistic : 93.70 -p-value of test : 0.9931 +Chi-square statistic : 110.25 +p-value of test : 0.89 ----------------------------------------------- -CPU time used : 00:01:02.03 +CPU time used : 00:01:13.52 Generator state: N/A @@ -2528,24 +2528,24 @@ smarsa_GCD test: ----------------------------------------------- Test results for GCD values: -Kolmogorov-Smirnov+ statistic = D+ : 0.053 -p-value of test : 0.91 +Kolmogorov-Smirnov+ statistic = D+ : 0.15 +p-value of test : 0.60 -Kolmogorov-Smirnov- statistic = D- : 0.20 -p-value of test : 0.41 +Kolmogorov-Smirnov- statistic = D- : 0.14 +p-value of test : 0.62 -Anderson-Darling statistic = A2 : 0.57 -p-value of test : 0.68 +Anderson-Darling statistic = A2 : 0.32 +p-value of test : 0.92 Test on the sum of all N observations Number of degrees of freedom : 17430 -Chi-square statistic :17609.71 -p-value of test : 0.17 +Chi-square statistic :17455.04 +p-value of test : 0.45 ----------------------------------------------- -CPU time used : 00:01:53.20 +CPU time used : 00:02:01.61 Generator state: N/A @@ -2568,44 +2568,44 @@ swalk_RandomWalk1 test: Test on the values of the Statistic H Number of degrees of freedom : 36 -ChiSquare statistic : 36.66 -p-value of test : 0.44 +ChiSquare statistic : 34.89 +p-value of test : 0.52 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 -ChiSquare statistic : 34.18 -p-value of test : 0.51 +ChiSquare statistic : 30.72 +p-value of test : 0.67 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 -ChiSquare statistic : 21.68 -p-value of test : 0.65 +ChiSquare statistic : 22.62 +p-value of test : 0.60 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 -ChiSquare statistic : 35.34 -p-value of test : 0.06 +ChiSquare statistic : 24.52 +p-value of test : 0.43 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 -ChiSquare statistic : 22.95 -p-value of test : 0.15 +ChiSquare statistic : 8.02 +p-value of test : 0.97 ----------------------------------------------- -CPU time used : 00:00:49.52 +CPU time used : 00:01:01.06 Generator state: N/A @@ -2628,44 +2628,44 @@ swalk_RandomWalk1 test: Test on the values of the Statistic H Number of degrees of freedom : 36 -ChiSquare statistic : 35.61 -p-value of test : 0.49 +ChiSquare statistic : 17.74 +p-value of test : 0.9954 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 -ChiSquare statistic : 43.85 -p-value of test : 0.15 +ChiSquare statistic : 21.13 +p-value of test : 0.97 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 -ChiSquare statistic : 35.22 -p-value of test : 0.08 +ChiSquare statistic : 33.08 +p-value of test : 0.13 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 -ChiSquare statistic : 13.68 -p-value of test : 0.95 +ChiSquare statistic : 25.08 +p-value of test : 0.40 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 -ChiSquare statistic : 25.00 -p-value of test : 0.09 +ChiSquare statistic : 10.43 +p-value of test : 0.88 ----------------------------------------------- -CPU time used : 00:00:50.70 +CPU time used : 00:01:02.13 Generator state: N/A @@ -2688,23 +2688,23 @@ swalk_RandomWalk1 test: Test on the values of the Statistic H Number of degrees of freedom : 146 -ChiSquare statistic : 143.34 -p-value of test : 0.55 +ChiSquare statistic : 149.40 +p-value of test : 0.41 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 -ChiSquare statistic : 149.00 -p-value of test : 0.42 +ChiSquare statistic : 128.75 +p-value of test : 0.84 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 -ChiSquare statistic : 474.10 +ChiSquare statistic : 474.21 p-value of test : 0.79 @@ -2712,20 +2712,20 @@ p-value of test : 0.79 Test on the values of the Statistic R Number of degrees of freedom : 136 -ChiSquare statistic : 154.35 -p-value of test : 0.13 +ChiSquare statistic : 138.25 +p-value of test : 0.43 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 -ChiSquare statistic : 65.37 -p-value of test : 0.75 +ChiSquare statistic : 72.78 +p-value of test : 0.52 ----------------------------------------------- -CPU time used : 00:01:02.79 +CPU time used : 00:01:17.72 Generator state: N/A @@ -2748,44 +2748,44 @@ swalk_RandomWalk1 test: Test on the values of the Statistic H Number of degrees of freedom : 146 -ChiSquare statistic : 141.14 -p-value of test : 0.60 +ChiSquare statistic : 126.24 +p-value of test : 0.88 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 -ChiSquare statistic : 162.20 -p-value of test : 0.17 +ChiSquare statistic : 156.17 +p-value of test : 0.27 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 -ChiSquare statistic : 474.44 -p-value of test : 0.79 +ChiSquare statistic : 554.39 +p-value of test : 0.05 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 -ChiSquare statistic : 139.23 -p-value of test : 0.41 +ChiSquare statistic : 131.47 +p-value of test : 0.59 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 -ChiSquare statistic : 86.57 -p-value of test : 0.15 +ChiSquare statistic : 78.05 +p-value of test : 0.35 ----------------------------------------------- -CPU time used : 00:01:01.60 +CPU time used : 00:01:19.50 Generator state: N/A @@ -2808,44 +2808,44 @@ swalk_RandomWalk1 test: Test on the values of the Statistic H Number of degrees of freedom : 384 -ChiSquare statistic : 359.71 -p-value of test : 0.81 +ChiSquare statistic : 386.85 +p-value of test : 0.45 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 -ChiSquare statistic : 377.22 -p-value of test : 0.59 +ChiSquare statistic : 414.47 +p-value of test : 0.14 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 -ChiSquare statistic : 4915.97 -p-value of test : 0.80 +ChiSquare statistic : 5093.36 +p-value of test : 0.18 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 -ChiSquare statistic : 355.90 -p-value of test : 0.79 +ChiSquare statistic : 407.82 +p-value of test : 0.14 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 -ChiSquare statistic : 240.90 -p-value of test : 0.03 +ChiSquare statistic : 217.42 +p-value of test : 0.19 ----------------------------------------------- -CPU time used : 00:00:48.87 +CPU time used : 00:01:04.75 Generator state: N/A @@ -2868,44 +2868,44 @@ swalk_RandomWalk1 test: Test on the values of the Statistic H Number of degrees of freedom : 384 -ChiSquare statistic : 438.15 -p-value of test : 0.03 +ChiSquare statistic : 364.54 +p-value of test : 0.75 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 -ChiSquare statistic : 366.02 -p-value of test : 0.74 +ChiSquare statistic : 388.28 +p-value of test : 0.43 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 -ChiSquare statistic : 4948.94 -p-value of test : 0.69 +ChiSquare statistic : 4871.22 +p-value of test : 0.90 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 -ChiSquare statistic : 367.64 -p-value of test : 0.64 +ChiSquare statistic : 361.79 +p-value of test : 0.72 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 -ChiSquare statistic : 168.26 -p-value of test : 0.95 +ChiSquare statistic : 204.36 +p-value of test : 0.40 ----------------------------------------------- -CPU time used : 00:00:52.10 +CPU time used : 00:01:05.68 Generator state: N/A @@ -2926,18 +2926,18 @@ scomp_LinearComp test: ----------------------------------------------- Number of degrees of freedom : 12 -Chi2 statistic for size of jumps : 11.11 -p-value of test : 0.52 +Chi2 statistic for size of jumps : 4.59 +p-value of test : 0.97 ----------------------------------------------- -Normal statistic for number of jumps : -446.06 +Normal statistic for number of jumps : -446.10 p-value of test : 1 - eps1 ***** ----------------------------------------------- -CPU time used : 00:00:00.19 +CPU time used : 00:00:00.25 Generator state: N/A @@ -2958,18 +2958,18 @@ scomp_LinearComp test: ----------------------------------------------- Number of degrees of freedom : 12 -Chi2 statistic for size of jumps : 7.08 -p-value of test : 0.85 +Chi2 statistic for size of jumps : 5.25 +p-value of test : 0.95 ----------------------------------------------- -Normal statistic for number of jumps : -446.03 +Normal statistic for number of jumps : -446.10 p-value of test : 1 - eps1 ***** ----------------------------------------------- -CPU time used : 00:00:00.19 +CPU time used : 00:00:00.22 Generator state: N/A @@ -2989,24 +2989,24 @@ scomp_LempelZiv test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.43 -p-value of test : 0.02 +Kolmogorov-Smirnov+ statistic = D+ : 0.053 +p-value of test : 0.92 -Kolmogorov-Smirnov- statistic = D- : 0.031 -p-value of test : 0.96 +Kolmogorov-Smirnov- statistic = D- : 0.32 +p-value of test : 0.11 -Anderson-Darling statistic = A2 : 4.20 -p-value of test : 7.3e-3 +Anderson-Darling statistic = A2 : 1.30 +p-value of test : 0.23 Tests on the sum of all N observations -Standardized normal statistic : -2.72 -p-value of test : 0.9968 +Standardized normal statistic : 1.33 +p-value of test : 0.09 -Sample variance : 0.66 -p-value of test : 0.75 +Sample variance : 0.84 +p-value of test : 0.58 ----------------------------------------------- -CPU time used : 00:00:57.80 +CPU time used : 00:01:06.93 Generator state: N/A @@ -3026,24 +3026,24 @@ scomp_LempelZiv test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.34 -p-value of test : 0.08 +Kolmogorov-Smirnov+ statistic = D+ : 0.14 +p-value of test : 0.62 -Kolmogorov-Smirnov- statistic = D- : 9.28e-3 -p-value of test : 0.99 +Kolmogorov-Smirnov- statistic = D- : 0.16 +p-value of test : 0.54 -Anderson-Darling statistic = A2 : 1.85 -p-value of test : 0.11 +Anderson-Darling statistic = A2 : 0.28 +p-value of test : 0.95 Tests on the sum of all N observations -Standardized normal statistic : -1.90 -p-value of test : 0.97 +Standardized normal statistic : 0.30 +p-value of test : 0.38 -Sample variance : 0.92 -p-value of test : 0.51 +Sample variance : 0.82 +p-value of test : 0.60 ----------------------------------------------- -CPU time used : 00:00:58.80 +CPU time used : 00:01:12.04 Generator state: N/A @@ -3063,17 +3063,17 @@ sspectral_Fourier3 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.011 -p-value of test : 0.37 +Kolmogorov-Smirnov+ statistic = D+ : 0.014 +p-value of test : 0.20 -Kolmogorov-Smirnov- statistic = D- : 8.49e-3 -p-value of test : 0.55 +Kolmogorov-Smirnov- statistic = D- : 4.20e-3 +p-value of test : 0.86 -Anderson-Darling statistic = A2 : 0.60 -p-value of test : 0.65 +Anderson-Darling statistic = A2 : 1.38 +p-value of test : 0.21 ----------------------------------------------- -CPU time used : 00:00:47.88 +CPU time used : 00:00:56.81 Generator state: N/A @@ -3093,17 +3093,17 @@ sspectral_Fourier3 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.013 -p-value of test : 0.26 +Kolmogorov-Smirnov+ statistic = D+ : 0.011 +p-value of test : 0.34 -Kolmogorov-Smirnov- statistic = D- : 6.01e-3 -p-value of test : 0.74 +Kolmogorov-Smirnov- statistic = D- : 6.51e-3 +p-value of test : 0.70 -Anderson-Darling statistic = A2 : 0.44 -p-value of test : 0.81 +Anderson-Darling statistic = A2 : 0.49 +p-value of test : 0.75 ----------------------------------------------- -CPU time used : 00:00:47.56 +CPU time used : 00:00:55.95 Generator state: N/A @@ -3123,8 +3123,8 @@ sstring_LongestHeadRun test: ----------------------------------------------- Number of degrees of freedom : 8 -Chi-square statistic : 6.56 -p-value of test : 0.59 +Chi-square statistic : 8.98 +p-value of test : 0.34 ----------------------------------------------- Global longest run of 1 : 33.00 @@ -3133,7 +3133,7 @@ p-value of test : 0.44 ----------------------------------------------- -CPU time used : 00:01:40.60 +CPU time used : 00:01:55.24 Generator state: N/A @@ -3153,17 +3153,17 @@ sstring_LongestHeadRun test: ----------------------------------------------- Number of degrees of freedom : 8 -Chi-square statistic : 7.68 -p-value of test : 0.46 +Chi-square statistic : 3.61 +p-value of test : 0.89 ----------------------------------------------- -Global longest run of 1 : 31.00 -p-value of test : 0.69 +Global longest run of 1 : 33.00 +p-value of test : 0.44 ----------------------------------------------- -CPU time used : 00:01:43.95 +CPU time used : 00:01:56.61 Generator state: N/A @@ -3183,22 +3183,22 @@ sstring_PeriodsInStrings test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.30 -p-value of test : 0.13 +Kolmogorov-Smirnov+ statistic = D+ : 0.20 +p-value of test : 0.40 -Kolmogorov-Smirnov- statistic = D- : 0.078 -p-value of test : 0.85 +Kolmogorov-Smirnov- statistic = D- : 0.20 +p-value of test : 0.40 -Anderson-Darling statistic = A2 : 1.17 -p-value of test : 0.28 +Anderson-Darling statistic = A2 : 0.61 +p-value of test : 0.64 Test on the sum of all N observations Number of degrees of freedom : 200 -Chi-square statistic : 173.33 -p-value of test : 0.91 +Chi-square statistic : 204.47 +p-value of test : 0.40 ----------------------------------------------- -CPU time used : 00:02:54.37 +CPU time used : 00:03:28.77 Generator state: N/A @@ -3218,22 +3218,22 @@ sstring_PeriodsInStrings test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.23 -p-value of test : 0.31 +Kolmogorov-Smirnov+ statistic = D+ : 0.20 +p-value of test : 0.41 -Kolmogorov-Smirnov- statistic = D- : 0.16 -p-value of test : 0.55 +Kolmogorov-Smirnov- statistic = D- : 0.17 +p-value of test : 0.52 -Anderson-Darling statistic = A2 : 0.96 -p-value of test : 0.38 +Anderson-Darling statistic = A2 : 0.55 +p-value of test : 0.70 Test on the sum of all N observations Number of degrees of freedom : 200 -Chi-square statistic : 187.11 -p-value of test : 0.73 +Chi-square statistic : 197.56 +p-value of test : 0.54 ----------------------------------------------- -CPU time used : 00:02:56.12 +CPU time used : 00:03:29.75 Generator state: N/A @@ -3253,22 +3253,22 @@ sstring_HammingWeight2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.32 -p-value of test : 0.11 +Kolmogorov-Smirnov+ statistic = D+ : 0.37 +p-value of test : 0.05 -Kolmogorov-Smirnov- statistic = D- : 0.036 -p-value of test : 0.95 +Kolmogorov-Smirnov- statistic = D- : 0.018 +p-value of test : 0.98 -Anderson-Darling statistic = A2 : 1.08 -p-value of test : 0.31 +Anderson-Darling statistic = A2 : 2.13 +p-value of test : 0.08 Test on the sum of all N observations Number of degrees of freedom : 10000 -Chi-square statistic : 9822.82 -p-value of test : 0.90 +Chi-square statistic : 9709.66 +p-value of test : 0.98 ----------------------------------------------- -CPU time used : 00:01:07.51 +CPU time used : 00:01:18.72 Generator state: N/A @@ -3288,22 +3288,22 @@ sstring_HammingWeight2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.25 -p-value of test : 0.24 +Kolmogorov-Smirnov+ statistic = D+ : 0.22 +p-value of test : 0.32 -Kolmogorov-Smirnov- statistic = D- : 0.18 -p-value of test : 0.48 +Kolmogorov-Smirnov- statistic = D- : 0.10 +p-value of test : 0.76 -Anderson-Darling statistic = A2 : 0.94 -p-value of test : 0.39 +Anderson-Darling statistic = A2 : 0.86 +p-value of test : 0.43 Test on the sum of all N observations Number of degrees of freedom : 10000 -Chi-square statistic : 9954.22 -p-value of test : 0.63 +Chi-square statistic : 9978.48 +p-value of test : 0.56 ----------------------------------------------- -CPU time used : 00:01:11.00 +CPU time used : 00:01:21.79 Generator state: N/A @@ -3323,11 +3323,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : 0.50 -p-value of test : 0.31 +Normal statistic : -0.091 +p-value of test : 0.54 ----------------------------------------------- -CPU time used : 00:01:19.45 +CPU time used : 00:01:32.70 Generator state: N/A @@ -3347,11 +3347,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : -0.94 -p-value of test : 0.83 +Normal statistic : -1.01 +p-value of test : 0.84 ----------------------------------------------- -CPU time used : 00:01:17.07 +CPU time used : 00:01:26.34 Generator state: N/A @@ -3371,11 +3371,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : 2.10 -p-value of test : 0.02 +Normal statistic : -2.58 +p-value of test : 0.9950 ----------------------------------------------- -CPU time used : 00:05:11.95 +CPU time used : 00:05:38.83 Generator state: N/A @@ -3397,22 +3397,22 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.16 -p-value of test : 0.56 +Kolmogorov-Smirnov+ statistic = D+ : 0.17 +p-value of test : 0.53 -Kolmogorov-Smirnov- statistic = D- : 0.11 -p-value of test : 0.72 +Kolmogorov-Smirnov- statistic = D- : 0.22 +p-value of test : 0.32 -Anderson-Darling statistic = A2 : 0.48 -p-value of test : 0.76 +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 : 4890 -Chi-square statistic : 4882.62 +Chi-square statistic : 4881.45 p-value of test : 0.53 ----------------------------------------------- -CPU time used : 00:02:12.43 +CPU time used : 00:02:32.45 Generator state: N/A @@ -3434,22 +3434,22 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.073 -p-value of test : 0.86 +Kolmogorov-Smirnov+ statistic = D+ : 0.16 +p-value of test : 0.56 -Kolmogorov-Smirnov- statistic = D- : 0.50 -p-value of test : 4.2e-3 +Kolmogorov-Smirnov- statistic = D- : 0.18 +p-value of test : 0.45 -Anderson-Darling statistic = A2 : 2.99 -p-value of test : 0.03 +Anderson-Darling statistic = A2 : 0.56 +p-value of test : 0.68 Test on the sum of all N observations Number of degrees of freedom : 4890 -Chi-square statistic : 5072.21 -p-value of test : 0.03 +Chi-square statistic : 4836.89 +p-value of test : 0.70 ----------------------------------------------- -CPU time used : 00:02:15.67 +CPU time used : 00:02:34.68 Generator state: N/A @@ -3471,11 +3471,11 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- Number of degrees of freedom : 4117 -Chi-square statistic : 4264.78 -p-value of test : 0.05 +Chi-square statistic : 4102.96 +p-value of test : 0.56 ----------------------------------------------- -CPU time used : 00:01:35.54 +CPU time used : 00:01:52.15 Generator state: N/A @@ -3497,11 +3497,11 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- Number of degrees of freedom : 4117 -Chi-square statistic : 4058.38 -p-value of test : 0.74 +Chi-square statistic : 4163.61 +p-value of test : 0.30 ----------------------------------------------- -CPU time used : 00:01:39.30 +CPU time used : 00:01:53.29 Generator state: N/A @@ -3523,11 +3523,11 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- Number of degrees of freedom : 11825 -Chi-square statistic :11823.23 -p-value of test : 0.50 +Chi-square statistic :11735.99 +p-value of test : 0.72 ----------------------------------------------- -CPU time used : 00:01:44.88 +CPU time used : 00:02:01.09 Generator state: N/A @@ -3549,11 +3549,11 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- Number of degrees of freedom : 11825 -Chi-square statistic :11752.74 -p-value of test : 0.68 +Chi-square statistic :11584.42 +p-value of test : 0.94 ----------------------------------------------- -CPU time used : 00:01:53.46 +CPU time used : 00:02:03.77 Generator state: N/A @@ -3575,20 +3575,20 @@ sstring_Run test: Total number of 1 runs: 2000000000 Number of degrees of freedom : 54 -Chi2 statistic for number of runs : 41.14 -p-value of test : 0.90 +Chi2 statistic for number of runs : 42.91 +p-value of test : 0.86 ----------------------------------------------- -Total number of bits: 7999950150 +Total number of bits: 8000028480 -Normal statistic for number of bits : -0.39 -p-value of test : 0.65 +Normal statistic for number of bits : 0.23 +p-value of test : 0.41 ----------------------------------------------- -CPU time used : 00:01:22.89 +CPU time used : 00:01:31.41 Generator state: N/A @@ -3610,20 +3610,20 @@ sstring_Run test: Total number of 1 runs: 2000000000 Number of degrees of freedom : 54 -Chi2 statistic for number of runs : 55.11 -p-value of test : 0.43 +Chi2 statistic for number of runs : 57.01 +p-value of test
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