From commits-return-65242-archive-asf-public=cust-asf.ponee.io@commons.apache.org Tue Nov 20 22:20:00 2018 Return-Path: X-Original-To: archive-asf-public@cust-asf.ponee.io Delivered-To: archive-asf-public@cust-asf.ponee.io Received: from mail.apache.org (hermes.apache.org [140.211.11.3]) by mx-eu-01.ponee.io (Postfix) with SMTP id 97BD51807A3 for ; Tue, 20 Nov 2018 22:19:57 +0100 (CET) Received: (qmail 40081 invoked by uid 500); 20 Nov 2018 21:19:42 -0000 Mailing-List: contact commits-help@commons.apache.org; run by ezmlm Precedence: bulk List-Help: List-Unsubscribe: List-Post: List-Id: Reply-To: dev@commons.apache.org Delivered-To: mailing list commits@commons.apache.org Received: (qmail 36468 invoked by uid 99); 20 Nov 2018 21:19:39 -0000 Received: from git1-us-west.apache.org (HELO git1-us-west.apache.org) (140.211.11.23) by apache.org (qpsmtpd/0.29) with ESMTP; Tue, 20 Nov 2018 21:19:39 +0000 Received: by git1-us-west.apache.org (ASF Mail Server at git1-us-west.apache.org, from userid 33) id D8AF4E135F; Tue, 20 Nov 2018 21:19:37 +0000 (UTC) Content-Type: text/plain; charset="us-ascii" MIME-Version: 1.0 Content-Transfer-Encoding: 7bit From: erans@apache.org To: commits@commons.apache.org Date: Tue, 20 Nov 2018 21:20:13 -0000 Message-Id: <4058618b5e014a65b9441d347672283a@git.apache.org> In-Reply-To: References: X-Mailer: ASF-Git Admin Mailer Subject: [38/52] [abbrv] [partial] commons-rng git commit: Stress suites results updated (user guide). http://git-wip-us.apache.org/repos/asf/commons-rng/blob/bf5028e2/src/site/resources/txt/userguide/stress/tu/run_1/tu_1 ---------------------------------------------------------------------- diff --git a/src/site/resources/txt/userguide/stress/tu/run_1/tu_1 b/src/site/resources/txt/userguide/stress/tu/run_1/tu_1 index 4c474a1..fbaed02 100644 --- a/src/site/resources/txt/userguide/stress/tu/run_1/tu_1 +++ b/src/site/resources/txt/userguide/stress/tu/run_1/tu_1 @@ -1,10 +1,10 @@ # # RNG: org.apache.commons.rng.core.source32.JDKRandom # -# Java: 1.8.0_111 -# Runtime: 1.8.0_111-b14 -# JVM: Java HotSpot(TM) 64-Bit Server VM 25.111-b14 -# OS: Linux 3.16.0-4-amd64 amd64 +# Java: 1.8.0_121 +# Runtime: 1.8.0_121-b13 +# JVM: Java HotSpot(TM) 64-Bit Server VM 25.121-b13 +# OS: Linux 4.14.0-3-amd64 amd64 # # Analyzer: ./stdin2testu01 BigCrush # @@ -46,7 +46,7 @@ p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:02:48.96 +CPU time used : 00:02:06.50 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 : 0.63 +p-value of test : 0.54 ----------------------------------------------- -CPU time used : 00:02:27.76 +CPU time used : 00:02:08.81 Generator state: N/A @@ -137,7 +137,7 @@ Total number of cells containing j balls j = 5 : 0 ----------------------------------------------- -CPU time used : 00:04:58.97 +CPU time used : 00:03:39.74 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 : 1338 -p-value of test : 0.76 +Observed number of collisions : 1370 +p-value of test : 0.44 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334458 - j = 1 : 599997324 - j = 2 : 1338 + j = 0 : 131940795334490 + j = 1 : 599997260 + j = 2 : 1370 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:07:06.03 +CPU time used : 00:03:52.28 Generator state: N/A @@ -241,7 +241,7 @@ Total number of cells containing j balls j = 5 : 0 ----------------------------------------------- -CPU time used : 00:09:33.06 +CPU time used : 00:04:39.97 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 : 1409 -p-value of test : 0.12 +Observed number of collisions : 1429 +p-value of test : 0.04 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334529 - j = 1 : 599997182 - j = 2 : 1409 + j = 0 : 131940795334549 + j = 1 : 599997142 + j = 2 : 1429 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:09:29.00 +CPU time used : 00:04:43.53 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 : 348341582 +Observed number of collisions : 348341580 p-value of test : eps ***** ----------------------------- Total number of cells containing j balls - j = 0 : 131941143674702 - j = 1 : 178 - j = 2 : 154974898 - j = 3 : 96683342 + j = 0 : 131941143674700 + j = 1 : 180 + j = 2 : 154974900 + j = 3 : 96683340 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:07:08.46 +CPU time used : 00:04:31.52 Generator state: N/A @@ -383,21 +383,21 @@ Results of CollisionOver test: POISSON approximation : Expected number of collisions = N*Mu : 1364.24 -Observed number of collisions : 1325 -p-value of test : 0.85 +Observed number of collisions : 1335 +p-value of test : 0.78 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334445 - j = 1 : 599997350 - j = 2 : 1325 + j = 0 : 131940795334455 + j = 1 : 599997330 + j = 2 : 1335 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:09:41.25 +CPU time used : 00:04:59.75 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 : 348341382 +Observed number of collisions : 348341378 p-value of test : eps ***** ----------------------------- Total number of cells containing j balls - j = 0 : 131941143674502 - j = 1 : 378 - j = 2 : 154975098 - j = 3 : 96683142 + j = 0 : 131941143674498 + j = 1 : 382 + j = 2 : 154975102 + j = 3 : 96683138 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:06:57.09 +CPU time used : 00:03:28.84 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 : 1357 -p-value of test : 0.57 +Observed number of collisions : 1291 +p-value of test : 0.98 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334477 - j = 1 : 599997286 - j = 2 : 1357 + j = 0 : 131940795334411 + j = 1 : 599997418 + j = 2 : 1291 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:09:48.75 +CPU time used : 00:04:59.50 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 : 348341183 +Observed number of collisions : 348341176 p-value of test : eps ***** ----------------------------- Total number of cells containing j balls - j = 0 : 131941143674303 - j = 1 : 577 - j = 2 : 154975297 - j = 3 : 96682943 + j = 0 : 131941143674296 + j = 1 : 584 + j = 2 : 154975304 + j = 3 : 96682936 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:06:57.59 +CPU time used : 00:03:29.40 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 : 1326 -p-value of test : 0.85 +Observed number of collisions : 1381 +p-value of test : 0.33 ----------------------------- Total number of cells containing j balls - j = 0 : 131940795334446 - j = 1 : 599997348 - j = 2 : 1326 + j = 0 : 131940795334501 + j = 1 : 599997238 + j = 2 : 1381 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:09:37.82 +CPU time used : 00:04:59.26 Generator state: N/A @@ -629,12 +629,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 5421.01 -Total observed number : 11942110 +Total observed number : 11936691 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:05:23.14 +CPU time used : 00:05:06.34 Generator state: N/A @@ -658,12 +658,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 201408678 +Total observed number : 201413956 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:02:25.19 +CPU time used : 00:02:19.11 Generator state: N/A @@ -687,12 +687,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 4282494 +Total observed number : 4281237 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:04:08.27 +CPU time used : 00:03:59.48 Generator state: N/A @@ -716,12 +716,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 396236134 +Total observed number : 396240007 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:02:46.02 +CPU time used : 00:02:43.17 Generator state: N/A @@ -745,12 +745,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 4336.81 -Total observed number : 313508544 +Total observed number : 313500543 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:03:11.23 +CPU time used : 00:03:06.36 Generator state: N/A @@ -774,12 +774,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 85311182 +Total observed number : 85311371 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:05:16.43 +CPU time used : 00:05:08.34 Generator state: N/A @@ -803,12 +803,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 744338 +Total observed number : 744113 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:05:18.03 +CPU time used : 00:05:10.18 Generator state: N/A @@ -832,12 +832,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 595354140 +Total observed number : 595350300 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:05:33.52 +CPU time used : 00:05:38.71 Generator state: N/A @@ -861,12 +861,12 @@ smarsa_BirthdaySpacings test: ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 -Total observed number : 5165677 +Total observed number : 5162401 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:07:32.53 +CPU time used : 00:07:32.39 Generator state: N/A @@ -898,11 +898,11 @@ 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) : 643.06 -p-value of test :2.0e-281 ***** +A2 test on the values of A2 (m-NP) : 661.41 +p-value of test :2.2e-289 ***** -Test on the Nm values of W_{n,i}(mNP1): 665.04 -p-value of test :5.7e-291 ***** +Test on the Nm values of W_{n,i}(mNP1): 681.79 +p-value of test :3.0e-298 ***** Test on the jump times of Y (superposition of Yn): @@ -912,7 +912,7 @@ Number of jumps of Y : 0 p-value of test : 1 - eps1 ***** ----------------------------------------------- -CPU time used : 00:03:45.93 +CPU time used : 00:03:45.14 Generator state: N/A @@ -947,7 +947,7 @@ A2 test based on the spacings between the 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):15664.35 +Test on the Nm values of W_{n,i}(mNP1):15158.86 p-value of test : eps ***** Test on the jump times of Y @@ -958,7 +958,7 @@ Number of jumps of Y : 0 p-value of test : 1 - eps1 ***** ----------------------------------------------- -CPU time used : 00:22:03.37 +CPU time used : 00:24:15.35 Generator state: N/A @@ -993,7 +993,7 @@ A2 test based on the spacings between the 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): 8214.28 +Test on the Nm values of W_{n,i}(mNP1): 8035.42 p-value of test : eps ***** Test on the jump times of Y @@ -1004,7 +1004,7 @@ Number of jumps of Y : 0 p-value of test : 1 - eps1 ***** ----------------------------------------------- -CPU time used : 00:37:25.63 +CPU time used : 00:38:54.21 Generator state: N/A @@ -1062,7 +1062,7 @@ Stat. AD after spacings (mNP2-S) : 8.93e+6 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:04:12.01 +CPU time used : 00:04:06.84 Generator state: N/A @@ -1082,11 +1082,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 7 -Chi-square statistic :10088.46 +Chi-square statistic : 6270.24 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:01:39.94 +CPU time used : 00:01:53.84 Generator state: N/A @@ -1106,11 +1106,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 7 -Chi-square statistic : 8.23 -p-value of test : 0.31 +Chi-square statistic : 16.59 +p-value of test : 0.02 ----------------------------------------------- -CPU time used : 00:01:58.79 +CPU time used : 00:02:11.79 Generator state: N/A @@ -1130,11 +1130,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 18 -Chi-square statistic :30830.20 +Chi-square statistic :29373.31 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:01:37.96 +CPU time used : 00:01:40.47 Generator state: N/A @@ -1154,11 +1154,11 @@ sknuth_SimpPoker test: ----------------------------------------------- Number of degrees of freedom : 18 -Chi-square statistic : 30.48 -p-value of test : 0.03 +Chi-square statistic : 17.97 +p-value of test : 0.46 ----------------------------------------------- -CPU time used : 00:01:55.15 +CPU time used : 00:01:56.27 Generator state: N/A @@ -1178,11 +1178,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 2.23e+5 +Chi-square statistic : 2.45e+5 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:02:08.79 +CPU time used : 00:02:16.11 Generator state: N/A @@ -1202,11 +1202,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 4075.75 +Chi-square statistic : 3198.43 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:02:33.11 +CPU time used : 00:02:34.92 Generator state: N/A @@ -1226,11 +1226,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 53.37 -p-value of test : 0.50 +Chi-square statistic : 43.30 +p-value of test : 0.85 ----------------------------------------------- -CPU time used : 00:02:33.09 +CPU time used : 00:02:37.21 Generator state: N/A @@ -1250,11 +1250,11 @@ sknuth_CouponCollector test: ----------------------------------------------- Number of degrees of freedom : 54 -Chi-square statistic : 48.26 -p-value of test : 0.69 +Chi-square statistic : 41.40 +p-value of test : 0.90 ----------------------------------------------- -CPU time used : 00:02:31.97 +CPU time used : 00:02:38.20 Generator state: N/A @@ -1274,11 +1274,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 232 -Chi-square statistic : 2.01e+5 +Chi-square statistic : 2.07e+5 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:02:54.98 +CPU time used : 00:03:09.62 Generator state: N/A @@ -1298,11 +1298,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 434 -Chi-square statistic : 390.80 -p-value of test : 0.93 +Chi-square statistic : 434.10 +p-value of test : 0.49 ----------------------------------------------- -CPU time used : 00:04:01.50 +CPU time used : 00:04:29.43 Generator state: N/A @@ -1322,11 +1322,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 1437 -Chi-square statistic : 2.11e+6 +Chi-square statistic : 1.90e+6 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:04:09.46 +CPU time used : 00:05:16.67 Generator state: N/A @@ -1346,11 +1346,11 @@ sknuth_Gap test: ----------------------------------------------- Number of degrees of freedom : 7046 -Chi-square statistic : 6939.86 -p-value of test : 0.81 +Chi-square statistic : 7059.82 +p-value of test : 0.45 ----------------------------------------------- -CPU time used : 00:04:10.09 +CPU time used : 00:05:00.86 Generator state: N/A @@ -1370,22 +1370,22 @@ sknuth_Run test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 3.79e-7 -p-value of test : 1 - 3.8e-7 ***** +Kolmogorov-Smirnov+ statistic = D+ : 0.37 +p-value of test : 0.20 -Kolmogorov-Smirnov- statistic = D- : 1.00 -p-value of test : 2.1e-15 ***** +Kolmogorov-Smirnov- statistic = D- : 0.54 +p-value of test : 0.04 -Anderson-Darling statistic = A2 : 66.48 -p-value of test : 1.6e-30 ***** +Anderson-Darling statistic = A2 : 1.72 +p-value of test : 0.13 Test on the sum of all N observations Number of degrees of freedom : 30 -Chi-square statistic : 198.35 -p-value of test : 1.0e-26 ***** +Chi-square statistic : 30.35 +p-value of test : 0.45 ----------------------------------------------- -CPU time used : 00:02:05.81 +CPU time used : 00:02:33.67 Generator state: N/A @@ -1405,22 +1405,22 @@ sknuth_Run test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.31 -p-value of test : 0.12 +Kolmogorov-Smirnov+ statistic = D+ : 0.10 +p-value of test : 0.75 -Kolmogorov-Smirnov- statistic = D- : 0.15 -p-value of test : 0.60 +Kolmogorov-Smirnov- statistic = D- : 0.18 +p-value of test : 0.45 -Anderson-Darling statistic = A2 : 1.15 -p-value of test : 0.29 +Anderson-Darling statistic = A2 : 0.57 +p-value of test : 0.67 Test on the sum of all N observations Number of degrees of freedom : 60 -Chi-square statistic : 48.03 -p-value of test : 0.87 +Chi-square statistic : 70.96 +p-value of test : 0.16 ----------------------------------------------- -CPU time used : 00:04:59.79 +CPU time used : 00:05:59.82 Generator state: N/A @@ -1454,12 +1454,12 @@ smultin_Multinomial test: Test Results for Delta = 1.0000 Number of degrees of freedom : 5 -Value of the statistic : 321.07 +Value of the statistic : 282.20 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:01:31.56 +CPU time used : 00:01:46.47 Generator state: N/A @@ -1493,12 +1493,12 @@ smultin_Multinomial test: Test Results for Delta = 1.0000 Number of degrees of freedom : 119 -Value of the statistic :30400.16 +Value of the statistic :24901.07 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:02:38.10 +CPU time used : 00:03:02.00 Generator state: N/A @@ -1532,12 +1532,12 @@ smultin_Multinomial test: Test Results for Delta = 1.0000 Number of degrees of freedom : 5039 -Value of the statistic : 1.82e+6 +Value of the statistic : 1.85e+6 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:02:01.29 +CPU time used : 00:02:18.27 Generator state: N/A @@ -1571,12 +1571,12 @@ smultin_Multinomial test: Test Results for Delta = 1.0000 Number of degrees of freedom : 3628799 -Value of the statistic : 5.82e+6 +Value of the statistic : 5.80e+6 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:03:54.94 +CPU time used : 00:04:03.70 Generator state: N/A @@ -1611,22 +1611,22 @@ 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 : 305342617 +Observed number of collisions : 305497330 p-value of test : eps ***** ----------------------------- Total number of cells containing j balls - j = 0 : 1743471166617 - j = 1 : 9474490 - j = 2 : 13914840 - j = 3 : 11245663 - j = 4 : 14932785 - j = 5 : 35019265 + j = 0 : 1743471321330 + j = 1 : 9453257 + j = 2 : 13753569 + j = 3 : 11158250 + j = 4 : 14996033 + j = 5 : 35038848 ----------------------------------------------- -CPU time used : 00:04:58.75 +CPU time used : 00:04:46.72 Generator state: N/A @@ -1661,22 +1661,22 @@ 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 : 34631 +Observed number of collisions : 34450 p-value of test : 1 - eps1 ***** ----------------------------- Total number of cells containing j balls - j = 0 : 1743165858631 - j = 1 : 399930743 - j = 2 : 34621 - j = 3 : 5 + j = 0 : 1743165858450 + j = 1 : 399931102 + j = 2 : 34446 + j = 3 : 2 j = 4 : 0 j = 5 : 0 ----------------------------------------------- -CPU time used : 00:05:36.62 +CPU time used : 00:05:37.96 Generator state: N/A @@ -1700,36 +1700,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.22 -p-value of test : 0.02 +Kolmogorov-Smirnov+ statistic = D+ : 0.29 +p-value of test : 1.1e-3 -Kolmogorov-Smirnov- statistic = D- : 6.67e-3 -p-value of test : 0.9913 +Kolmogorov-Smirnov- statistic = D- : 1.22e-3 +p-value of test : 0.9987 -Anderson-Darling statistic = A2 : 3.47 -p-value of test : 0.02 +Anderson-Darling statistic = A2 : 4.31 +p-value of test : 6.2e-3 Test on the sum of all N observations Number of degrees of freedom : 3999960 Chi-square statistic : 3.99e+6 -p-value of test : 0.9953 +p-value of test : 0.9984 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.14 -p-value of test : 0.20 +Kolmogorov-Smirnov+ statistic = D+ : 7.58e-4 +p-value of test : 0.9992 ***** -Kolmogorov-Smirnov- statistic = D- : 0.61 -p-value of test : 2.5e-15 ***** +Kolmogorov-Smirnov- statistic = D- : 0.90 +p-value of test : 1.5e-41 ***** -Anderson-Darling statistic = A2 : 21.51 -p-value of test : 9.6e-11 ***** +Anderson-Darling statistic = A2 : 114.74 +p-value of test : 1.3e-51 ***** ----------------------------------------------- -CPU time used : 00:05:05.62 +CPU time used : 00:04:14.45 Generator state: N/A @@ -1753,36 +1753,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 4.04e-8 -p-value of test : 1 - 4.0e-8 ***** +Kolmogorov-Smirnov+ statistic = D+ : 2.63e-4 +p-value of test : 0.9997 ***** -Kolmogorov-Smirnov- statistic = D- : 0.96 -p-value of test : 8.0e-44 ***** +Kolmogorov-Smirnov- statistic = D- : 0.63 +p-value of test : 2.5e-12 ***** -Anderson-Darling statistic = A2 : 141.73 -p-value of test : 2.3e-63 ***** +Anderson-Darling statistic = A2 : 34.52 +p-value of test : 1.7e-16 ***** Test on the sum of all N observations Number of degrees of freedom : 2999970 -Chi-square statistic : 3.04e+6 -p-value of test : 1.3e-68 ***** +Chi-square statistic : 3.02e+6 +p-value of test : 7.7e-18 ***** ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.62 -p-value of test : 4.2e-12 ***** +Kolmogorov-Smirnov+ statistic = D+ : 0.85 +p-value of test : 2.2e-25 ***** -Kolmogorov-Smirnov- statistic = D- : 0.23 -p-value of test : 0.03 +Kolmogorov-Smirnov- statistic = D- : 0.10 +p-value of test : 0.49 -Anderson-Darling statistic = A2 : 14.30 -p-value of test : 1.6e-7 ***** +Anderson-Darling statistic = A2 : 33.28 +p-value of test : 6.0e-16 ***** ----------------------------------------------- -CPU time used : 00:04:37.48 +CPU time used : 00:04:15.55 Generator state: N/A @@ -1806,36 +1806,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 0.11 -p-value of test : 0.58 +Kolmogorov-Smirnov+ statistic = D+ : 0.32 +p-value of test : 0.01 -Kolmogorov-Smirnov- statistic = D- : 0.077 -p-value of test : 0.75 +Kolmogorov-Smirnov- statistic = D- : 2.41e-3 +p-value of test : 0.9975 -Anderson-Darling statistic = A2 : 0.29 -p-value of test : 0.95 +Anderson-Darling statistic = A2 : 2.86 +p-value of test : 0.03 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 -p-value of test : 0.65 +p-value of test : 0.9901 ----------------------------------------------- Test results for Anderson-Darling: -Kolmogorov-Smirnov+ statistic = D+ : 0.63 -p-value of test : 1.2e-8 ***** +Kolmogorov-Smirnov+ statistic = D+ : 0.62 +p-value of test : 4.0e-8 ***** -Kolmogorov-Smirnov- statistic = D- : 0.20 -p-value of test : 0.17 +Kolmogorov-Smirnov- statistic = D- : 0.27 +p-value of test : 0.05 -Anderson-Darling statistic = A2 : 10.89 -p-value of test : 5.5e-6 ***** +Anderson-Darling statistic = A2 : 8.59 +p-value of test : 6.5e-5 ***** ----------------------------------------------- -CPU time used : 00:03:35.87 +CPU time used : 00:03:30.57 Generator state: N/A @@ -1859,36 +1859,36 @@ sknuth_MaxOft test: ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: -Kolmogorov-Smirnov+ statistic = D+ : 5.93e-5 -p-value of test : 1 - 5.9e-5 ***** +Kolmogorov-Smirnov+ statistic = D+ : 1.48e-5 +p-value of test : 1 - 1.5e-5 ***** -Kolmogorov-Smirnov- statistic = D- : 0.65 -p-value of test : 3.5e-9 ***** +Kolmogorov-Smirnov- statistic = D- : 0.83 +p-value of test : 5.8e-16 ***** -Anderson-Darling statistic = A2 : 33.90 -p-value of test : 3.2e-16 ***** +Anderson-Darling statistic = A2 : 46.59 +p-value of test : 8.4e-22 ***** Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.02e+6 -p-value of test : 2.4e-17 ***** +p-value of test : 1.1e-23 ***** ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 1.00 -p-value of test : 1.9e-87 ***** +p-value of test :6.3e-141 ***** -Kolmogorov-Smirnov- statistic = D- : 1.64e-5 -p-value of test : 1 - 1.6e-5 ***** +Kolmogorov-Smirnov- statistic = D- : 1.76e-8 +p-value of test : 1 - 1.8e-8 ***** -Anderson-Darling statistic = A2 : 187.06 -p-value of test : 4.1e-83 ***** +Anderson-Darling statistic = A2 : 310.60 +p-value of test :7.1e-137 ***** ----------------------------------------------- -CPU time used : 00:04:05.63 +CPU time used : 00:04:09.89 Generator state: N/A @@ -1908,17 +1908,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.63 -p-value of test : 4.2e-16 ***** +Kolmogorov-Smirnov+ statistic = D+ : 0.25 +p-value of test : 6.1e-3 -Kolmogorov-Smirnov- statistic = D- : 0.24 -p-value of test : 7.5e-3 +Kolmogorov-Smirnov- statistic = D- : 0.60 +p-value of test : 1.6e-14 ***** -Anderson-Darling statistic = A2 : 18.96 -p-value of test : 1.3e-9 ***** +Anderson-Darling statistic = A2 : 17.80 +p-value of test : 4.3e-9 ***** ----------------------------------------------- -CPU time used : 00:04:27.79 +CPU time used : 00:03:10.06 Generator state: N/A @@ -1938,17 +1938,17 @@ svaria_SampleProd test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.92 -p-value of test : 5.0e-23 ***** +Kolmogorov-Smirnov+ statistic = D+ : 1.00 +p-value of test : 1.1e-80 ***** -Kolmogorov-Smirnov- statistic = D- : 0.056 -p-value of test : 0.85 +Kolmogorov-Smirnov- statistic = D- : 3.97e-5 +p-value of test : 1 - 4.0e-5 ***** -Anderson-Darling statistic = A2 : 35.34 -p-value of test : 7.4e-17 ***** +Anderson-Darling statistic = A2 : 171.91 +p-value of test : 1.6e-76 ***** ----------------------------------------------- -CPU time used : 00:02:52.66 +CPU time used : 00:02:26.20 Generator state: N/A @@ -1969,16 +1969,16 @@ svaria_SampleProd test: ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.98 -p-value of test : 3.8e-36 ***** +p-value of test : 2.9e-34 ***** -Kolmogorov-Smirnov- statistic = D- : 7.20e-3 -p-value of test : 0.9917 +Kolmogorov-Smirnov- statistic = D- : 0.010 +p-value of test : 0.99 -Anderson-Darling statistic = A2 : 69.55 -p-value of test : 7.3e-32 ***** +Anderson-Darling statistic = A2 : 62.51 +p-value of test : 8.8e-29 ***** ----------------------------------------------- -CPU time used : 00:03:33.79 +CPU time used : 00:03:10.29 Generator state: N/A @@ -1998,17 +1998,17 @@ svaria_SampleMean test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 3.99e-4 -p-value of test : 1.7e-3 +Kolmogorov-Smirnov+ statistic = D+ : 2.58e-4 +p-value of test : 0.07 -Kolmogorov-Smirnov- statistic = D- : 4.10e-4 -p-value of test : 1.2e-3 +Kolmogorov-Smirnov- statistic = D- : 2.24e-4 +p-value of test : 0.14 -Anderson-Darling statistic = A2 : 6.42 -p-value of test : 6.3e-4 ***** +Anderson-Darling statistic = A2 : 1.71 +p-value of test : 0.13 ----------------------------------------------- -CPU time used : 00:00:44.97 +CPU time used : 00:00:42.79 Generator state: N/A @@ -2028,17 +2028,17 @@ svaria_SampleMean test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 1.42e-4 -p-value of test : 0.45 +Kolmogorov-Smirnov+ statistic = D+ : 1.04e-4 +p-value of test : 0.65 -Kolmogorov-Smirnov- statistic = D- : 1.22e-4 -p-value of test : 0.55 +Kolmogorov-Smirnov- statistic = D- : 1.04e-4 +p-value of test : 0.65 -Anderson-Darling statistic = A2 : 0.66 -p-value of test : 0.60 +Anderson-Darling statistic = A2 : 0.32 +p-value of test : 0.92 ----------------------------------------------- -CPU time used : 00:00:47.63 +CPU time used : 00:00:46.18 Generator state: N/A @@ -2057,11 +2057,11 @@ svaria_SampleCorr test: ----------------------------------------------- -Normal statistic : 0.024 -p-value of test : 0.49 +Normal statistic : -2.08e-3 +p-value of test : 0.50 ----------------------------------------------- -CPU time used : 00:00:46.09 +CPU time used : 00:00:55.32 Generator state: N/A @@ -2080,11 +2080,11 @@ svaria_SampleCorr test: ----------------------------------------------- -Normal statistic : -0.043 -p-value of test : 0.52 +Normal statistic : -0.037 +p-value of test : 0.51 ----------------------------------------------- -CPU time used : 00:00:45.50 +CPU time used : 00:00:55.45 Generator state: N/A @@ -2109,11 +2109,11 @@ svaria_AppearanceSpacings test: ----------------------------------------------- -Normal statistic : 116.33 +Normal statistic : 87.23 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:03:18.84 +CPU time used : 00:02:47.47 Generator state: N/A @@ -2138,11 +2138,11 @@ svaria_AppearanceSpacings test: ----------------------------------------------- -Normal statistic : 0.28 -p-value of test : 0.39 +Normal statistic : -1.23 +p-value of test : 0.89 ----------------------------------------------- -CPU time used : 00:03:25.20 +CPU time used : 00:02:51.30 Generator state: N/A @@ -2162,11 +2162,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic :37977.11 +Chi-square statistic :56589.47 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:01:44.18 +CPU time used : 00:02:10.18 Generator state: N/A @@ -2186,11 +2186,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 95.38 -p-value of test : 0.01 +Chi-square statistic : 93.00 +p-value of test : 0.02 ----------------------------------------------- -CPU time used : 00:02:08.43 +CPU time used : 00:02:34.14 Generator state: N/A @@ -2210,11 +2210,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 67 -Chi-square statistic : 57.17 -p-value of test : 0.80 +Chi-square statistic : 70.53 +p-value of test : 0.36 ----------------------------------------------- -CPU time used : 00:02:09.81 +CPU time used : 00:02:34.50 Generator state: N/A @@ -2234,11 +2234,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic :15551.32 +Chi-square statistic :14182.94 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:01:44.11 +CPU time used : 00:02:10.11 Generator state: N/A @@ -2258,11 +2258,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 435.48 +Chi-square statistic : 392.68 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:02:06.52 +CPU time used : 00:02:35.54 Generator state: N/A @@ -2282,11 +2282,11 @@ svaria_WeightDistrib test: ----------------------------------------------- Number of degrees of freedom : 37 -Chi-square statistic : 33.79 -p-value of test : 0.62 +Chi-square statistic : 27.02 +p-value of test : 0.89 ----------------------------------------------- -CPU time used : 00:02:08.95 +CPU time used : 00:02:39.72 Generator state: N/A @@ -2306,11 +2306,11 @@ svaria_SumCollector test: ----------------------------------------------- Number of degrees of freedom : 29 -Chi-square statistic :13229.02 +Chi-square statistic :29217.86 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:03:28.36 +CPU time used : 00:04:26.47 Generator state: N/A @@ -2330,22 +2330,22 @@ smarsa_MatrixRank test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.21 -p-value of test : 0.35 +Kolmogorov-Smirnov+ statistic = D+ : 0.036 +p-value of test : 0.95 -Kolmogorov-Smirnov- statistic = D- : 0.079 -p-value of test : 0.84 +Kolmogorov-Smirnov- statistic = D- : 0.48 +p-value of test : 6.6e-3 -Anderson-Darling statistic = A2 : 1.23 -p-value of test : 0.26 +Anderson-Darling statistic = A2 : 5.34 +p-value of test : 2.1e-3 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 : 67.44 +p-value of test : 4.3e-3 ----------------------------------------------- -CPU time used : 00:01:55.22 +CPU time used : 00:02:03.50 Generator state: N/A @@ -2365,22 +2365,22 @@ smarsa_MatrixRank test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.21 -p-value of test : 0.35 +Kolmogorov-Smirnov+ statistic = D+ : 0.17 +p-value of test : 0.50 -Kolmogorov-Smirnov- statistic = D- : 0.079 -p-value of test : 0.84 +Kolmogorov-Smirnov- statistic = D- : 0.23 +p-value of test : 0.30 -Anderson-Darling statistic = A2 : 0.51 -p-value of test : 0.73 +Anderson-Darling statistic = A2 : 0.93 +p-value of test : 0.39 Test on the sum of all N observations Number of degrees of freedom : 40 -Chi-square statistic : 35.77 -p-value of test : 0.66 +Chi-square statistic : 36.58 +p-value of test : 0.62 ----------------------------------------------- -CPU time used : 00:01:55.91 +CPU time used : 00:02:02.27 Generator state: N/A @@ -2400,11 +2400,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 3 -Chi-square statistic : 1.51 -p-value of test : 0.68 +Chi-square statistic : 2.87 +p-value of test : 0.41 ----------------------------------------------- -CPU time used : 00:03:13.13 +CPU time used : 00:03:10.47 Generator state: N/A @@ -2424,11 +2424,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 3 -Chi-square statistic : 0.51 -p-value of test : 0.92 +Chi-square statistic : 3.39 +p-value of test : 0.33 ----------------------------------------------- -CPU time used : 00:03:13.61 +CPU time used : 00:03:09.75 Generator state: N/A @@ -2448,11 +2448,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 2 -Chi-square statistic : 1.77 -p-value of test : 0.41 +Chi-square statistic : 2.35 +p-value of test : 0.31 ----------------------------------------------- -CPU time used : 00:02:13.91 +CPU time used : 00:02:04.47 Generator state: N/A @@ -2472,11 +2472,11 @@ smarsa_MatrixRank test: ----------------------------------------------- Number of degrees of freedom : 2 -Chi-square statistic : 5.27 -p-value of test : 0.07 +Chi-square statistic : 1.18 +p-value of test : 0.55 ----------------------------------------------- -CPU time used : 00:01:49.27 +CPU time used : 00:01:42.95 Generator state: N/A @@ -2496,22 +2496,22 @@ smarsa_Savir2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.35 -p-value of test : 0.06 +Kolmogorov-Smirnov+ statistic = D+ : 0.17 +p-value of test : 0.51 -Kolmogorov-Smirnov- statistic = D- : 0.023 -p-value of test : 0.97 +Kolmogorov-Smirnov- statistic = D- : 0.19 +p-value of test : 0.42 -Anderson-Darling statistic = A2 : 2.08 -p-value of test : 0.08 +Anderson-Darling statistic = A2 : 0.51 +p-value of test : 0.73 Test on the sum of all N observations Number of degrees of freedom : 130 -Chi-square statistic : 99.81 -p-value of test : 0.98 +Chi-square statistic : 135.52 +p-value of test : 0.35 ----------------------------------------------- -CPU time used : 00:01:16.47 +CPU time used : 00:01:30.08 Generator state: N/A @@ -2532,24 +2532,24 @@ smarsa_GCD test: ----------------------------------------------- Test results for GCD values: -Kolmogorov-Smirnov+ statistic = D+ : 0.17 -p-value of test : 0.50 +Kolmogorov-Smirnov+ statistic = D+ : 0.39 +p-value of test : 0.04 -Kolmogorov-Smirnov- statistic = D- : 0.16 -p-value of test : 0.55 +Kolmogorov-Smirnov- statistic = D- : 0.12 +p-value of test : 0.70 -Anderson-Darling statistic = A2 : 0.38 -p-value of test : 0.86 +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 : 17430 -Chi-square statistic :17337.36 -p-value of test : 0.69 +Chi-square statistic :17121.62 +p-value of test : 0.95 ----------------------------------------------- -CPU time used : 00:02:03.68 +CPU time used : 00:02:04.40 Generator state: N/A @@ -2572,7 +2572,7 @@ swalk_RandomWalk1 test: Test on the values of the Statistic H Number of degrees of freedom : 36 -ChiSquare statistic : 1030.31 +ChiSquare statistic : 726.76 p-value of test : eps ***** @@ -2580,7 +2580,7 @@ p-value of test : eps ***** Test on the values of the Statistic M Number of degrees of freedom : 35 -ChiSquare statistic : 496.97 +ChiSquare statistic : 612.04 p-value of test : eps ***** @@ -2588,7 +2588,7 @@ p-value of test : eps ***** Test on the values of the Statistic J Number of degrees of freedom : 25 -ChiSquare statistic : 298.90 +ChiSquare statistic : 469.34 p-value of test : eps ***** @@ -2596,7 +2596,7 @@ p-value of test : eps ***** Test on the values of the Statistic R Number of degrees of freedom : 24 -ChiSquare statistic : 560.47 +ChiSquare statistic : 493.90 p-value of test : eps ***** @@ -2604,12 +2604,12 @@ p-value of test : eps ***** Test on the values of the Statistic C Number of degrees of freedom : 17 -ChiSquare statistic : 426.40 +ChiSquare statistic : 240.24 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:01:02.70 +CPU time used : 00:01:10.81 Generator state: N/A @@ -2632,44 +2632,44 @@ swalk_RandomWalk1 test: Test on the values of the Statistic H Number of degrees of freedom : 36 -ChiSquare statistic : 35.41 -p-value of test : 0.50 +ChiSquare statistic : 40.15 +p-value of test : 0.29 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 -ChiSquare statistic : 53.34 -p-value of test : 0.02 +ChiSquare statistic : 27.09 +p-value of test : 0.83 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 -ChiSquare statistic : 29.44 -p-value of test : 0.25 +ChiSquare statistic : 28.68 +p-value of test : 0.28 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 -ChiSquare statistic : 27.18 -p-value of test : 0.30 +ChiSquare statistic : 15.48 +p-value of test : 0.91 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 -ChiSquare statistic : 25.66 -p-value of test : 0.08 +ChiSquare statistic : 14.41 +p-value of test : 0.64 ----------------------------------------------- -CPU time used : 00:01:03.90 +CPU time used : 00:01:11.27 Generator state: N/A @@ -2692,44 +2692,44 @@ swalk_RandomWalk1 test: Test on the values of the Statistic H Number of degrees of freedom : 146 -ChiSquare statistic : 241.00 -p-value of test : 1.2e-6 ***** +ChiSquare statistic : 184.00 +p-value of test : 0.02 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 -ChiSquare statistic : 205.01 -p-value of test : 9.3e-4 ***** +ChiSquare statistic : 196.68 +p-value of test : 3.3e-3 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 -ChiSquare statistic : 551.03 -p-value of test : 0.06 +ChiSquare statistic : 578.10 +p-value of test : 8.8e-3 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 -ChiSquare statistic : 141.37 -p-value of test : 0.36 +ChiSquare statistic : 168.87 +p-value of test : 0.03 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 -ChiSquare statistic : 75.43 -p-value of test : 0.43 +ChiSquare statistic : 125.05 +p-value of test : 1.9e-4 ***** ----------------------------------------------- -CPU time used : 00:01:22.22 +CPU time used : 00:01:28.13 Generator state: N/A @@ -2752,44 +2752,44 @@ swalk_RandomWalk1 test: Test on the values of the Statistic H Number of degrees of freedom : 146 -ChiSquare statistic : 157.32 -p-value of test : 0.25 +ChiSquare statistic : 123.44 +p-value of test : 0.91 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 -ChiSquare statistic : 141.58 -p-value of test : 0.59 +ChiSquare statistic : 132.70 +p-value of test : 0.78 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 -ChiSquare statistic : 450.34 -p-value of test : 0.95 +ChiSquare statistic : 506.21 +p-value of test : 0.41 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 -ChiSquare statistic : 117.67 -p-value of test : 0.87 +ChiSquare statistic : 112.94 +p-value of test : 0.93 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 -ChiSquare statistic : 97.26 -p-value of test : 0.04 +ChiSquare statistic : 47.00 +p-value of test : 0.9940 ----------------------------------------------- -CPU time used : 00:01:23.75 +CPU time used : 00:01:29.75 Generator state: N/A @@ -2812,44 +2812,44 @@ swalk_RandomWalk1 test: Test on the values of the Statistic H Number of degrees of freedom : 384 -ChiSquare statistic : 406.78 -p-value of test : 0.20 +ChiSquare statistic : 428.75 +p-value of test : 0.06 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 -ChiSquare statistic : 362.34 -p-value of test : 0.78 +ChiSquare statistic : 367.85 +p-value of test : 0.71 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 -ChiSquare statistic : 4773.79 -p-value of test : 0.99 +ChiSquare statistic : 4929.65 +p-value of test : 0.76 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 -ChiSquare statistic : 416.59 -p-value of test : 0.08 +ChiSquare statistic : 352.53 +p-value of test : 0.82 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 -ChiSquare statistic : 195.64 -p-value of test : 0.57 +ChiSquare statistic : 177.91 +p-value of test : 0.87 ----------------------------------------------- -CPU time used : 00:01:10.90 +CPU time used : 00:01:14.86 Generator state: N/A @@ -2872,44 +2872,44 @@ swalk_RandomWalk1 test: Test on the values of the Statistic H Number of degrees of freedom : 384 -ChiSquare statistic : 432.73 -p-value of test : 0.04 +ChiSquare statistic : 427.20 +p-value of test : 0.06 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 -ChiSquare statistic : 389.48 -p-value of test : 0.41 +ChiSquare statistic : 415.72 +p-value of test : 0.13 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 -ChiSquare statistic : 4955.45 -p-value of test : 0.67 +ChiSquare statistic : 5090.46 +p-value of test : 0.18 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 -ChiSquare statistic : 396.31 -p-value of test : 0.25 +ChiSquare statistic : 371.28 +p-value of test : 0.59 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 -ChiSquare statistic : 183.61 -p-value of test : 0.79 +ChiSquare statistic : 226.61 +p-value of test : 0.10 ----------------------------------------------- -CPU time used : 00:01:10.63 +CPU time used : 00:01:15.36 Generator state: N/A @@ -2930,18 +2930,18 @@ scomp_LinearComp test: ----------------------------------------------- Number of degrees of freedom : 12 -Chi2 statistic for size of jumps : 20.01 -p-value of test : 0.07 +Chi2 statistic for size of jumps : 7.87 +p-value of test : 0.80 ----------------------------------------------- -Normal statistic for number of jumps : -0.27 -p-value of test : 0.61 +Normal statistic for number of jumps : -0.49 +p-value of test : 0.69 ----------------------------------------------- -CPU time used : 00:03:02.72 +CPU time used : 00:02:52.93 Generator state: N/A @@ -2962,18 +2962,18 @@ scomp_LinearComp test: ----------------------------------------------- Number of degrees of freedom : 12 -Chi2 statistic for size of jumps : 9.99 -p-value of test : 0.62 +Chi2 statistic for size of jumps : 10.55 +p-value of test : 0.57 ----------------------------------------------- -Normal statistic for number of jumps : 2.98e-3 -p-value of test : 0.50 +Normal statistic for number of jumps : 1.05 +p-value of test : 0.15 ----------------------------------------------- -CPU time used : 00:03:03.56 +CPU time used : 00:02:50.93 Generator state: N/A @@ -2993,24 +2993,24 @@ scomp_LempelZiv test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.29 -p-value of test : 0.15 +Kolmogorov-Smirnov+ statistic = D+ : 0.33 +p-value of test : 0.09 -Kolmogorov-Smirnov- statistic = D- : 0.17 -p-value of test : 0.50 +Kolmogorov-Smirnov- statistic = D- : 0.077 +p-value of test : 0.85 -Anderson-Darling statistic = A2 : 0.83 -p-value of test : 0.45 +Anderson-Darling statistic = A2 : 0.87 +p-value of test : 0.43 Tests on the sum of all N observations -Standardized normal statistic : -0.28 -p-value of test : 0.61 +Standardized normal statistic : -0.91 +p-value of test : 0.82 -Sample variance : 0.35 -p-value of test : 0.96 +Sample variance : 1.12 +p-value of test : 0.34 ----------------------------------------------- -CPU time used : 00:01:01.02 +CPU time used : 00:00:59.06 Generator state: N/A @@ -3030,24 +3030,24 @@ scomp_LempelZiv test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.26 -p-value of test : 0.21 +Kolmogorov-Smirnov+ statistic = D+ : 0.20 +p-value of test : 0.38 -Kolmogorov-Smirnov- statistic = D- : 0.078 -p-value of test : 0.85 +Kolmogorov-Smirnov- statistic = D- : 0.062 +p-value of test : 0.89 -Anderson-Darling statistic = A2 : 1.01 -p-value of test : 0.35 +Anderson-Darling statistic = A2 : 0.93 +p-value of test : 0.39 Tests on the sum of all N observations -Standardized normal statistic : -0.94 -p-value of test : 0.83 +Standardized normal statistic : -1.27 +p-value of test : 0.90 -Sample variance : 1.54 -p-value of test : 0.13 +Sample variance : 1.84 +p-value of test : 0.06 ----------------------------------------------- -CPU time used : 00:01:17.50 +CPU time used : 00:00:59.65 Generator state: N/A @@ -3067,17 +3067,17 @@ sspectral_Fourier3 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.032 -p-value of test : 2.7e-4 ***** +Kolmogorov-Smirnov+ statistic = D+ : 0.045 +p-value of test : 5.4e-8 ***** -Kolmogorov-Smirnov- statistic = D- : 0.018 -p-value of test : 0.08 +Kolmogorov-Smirnov- statistic = D- : 0.046 +p-value of test : 3.5e-8 ***** -Anderson-Darling statistic = A2 : 6.83 -p-value of test : 4.1e-4 ***** +Anderson-Darling statistic = A2 : 31.71 +p-value of test : 2.9e-15 ***** ----------------------------------------------- -CPU time used : 00:00:58.04 +CPU time used : 00:00:57.25 Generator state: N/A @@ -3097,17 +3097,17 @@ sspectral_Fourier3 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.016 -p-value of test : 0.11 +Kolmogorov-Smirnov+ statistic = D+ : 0.011 +p-value of test : 0.35 -Kolmogorov-Smirnov- statistic = D- : 5.72e-3 -p-value of test : 0.76 +Kolmogorov-Smirnov- statistic = D- : 7.44e-3 +p-value of test : 0.63 -Anderson-Darling statistic = A2 : 0.89 -p-value of test : 0.42 +Anderson-Darling statistic = A2 : 0.73 +p-value of test : 0.53 ----------------------------------------------- -CPU time used : 00:00:56.56 +CPU time used : 00:00:56.75 Generator state: N/A @@ -3127,17 +3127,17 @@ sstring_LongestHeadRun test: ----------------------------------------------- Number of degrees of freedom : 8 -Chi-square statistic : 4943.38 +Chi-square statistic : 1269.45 p-value of test : eps ***** ----------------------------------------------- -Global longest run of 1 : 26.00 +Global longest run of 1 : 23.00 p-value of test : 1 - eps1 ***** ----------------------------------------------- -CPU time used : 00:02:01.77 +CPU time used : 00:02:15.95 Generator state: N/A @@ -3157,17 +3157,17 @@ sstring_LongestHeadRun test: ----------------------------------------------- Number of degrees of freedom : 8 -Chi-square statistic : 3.34 -p-value of test : 0.91 +Chi-square statistic : 7.27 +p-value of test : 0.51 ----------------------------------------------- -Global longest run of 1 : 32.00 -p-value of test : 0.50 +Global longest run of 1 : 31.00 +p-value of test : 0.69 ----------------------------------------------- -CPU time used : 00:02:02.49 +CPU time used : 00:02:18.75 Generator state: N/A @@ -3187,22 +3187,22 @@ sstring_PeriodsInStrings test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.80 -p-value of test : 1.3e-7 ***** +Kolmogorov-Smirnov+ statistic = D+ : 0.014 +p-value of test : 0.98 -Kolmogorov-Smirnov- statistic = D- : 1.70e-5 -p-value of test : 1 - 1.7e-5 ***** +Kolmogorov-Smirnov- statistic = D- : 0.44 +p-value of test : 0.01 -Anderson-Darling statistic = A2 : 36.93 -p-value of test : 1.5e-17 ***** +Anderson-Darling statistic = A2 : 3.92 +p-value of test : 9.9e-3 Test on the sum of all N observations Number of degrees of freedom : 200 -Chi-square statistic : 76.57 -p-value of test : 1 - eps1 ***** +Chi-square statistic : 256.28 +p-value of test : 4.4e-3 ----------------------------------------------- -CPU time used : 00:03:23.00 +CPU time used : 00:03:58.99 Generator state: N/A @@ -3222,22 +3222,22 @@ sstring_PeriodsInStrings test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.25 -p-value of test : 0.24 +Kolmogorov-Smirnov+ statistic = D+ : 0.26 +p-value of test : 0.22 -Kolmogorov-Smirnov- statistic = D- : 0.049 -p-value of test : 0.92 +Kolmogorov-Smirnov- statistic = D- : 0.18 +p-value of test : 0.47 -Anderson-Darling statistic = A2 : 1.03 -p-value of test : 0.34 +Anderson-Darling statistic = A2 : 0.75 +p-value of test : 0.52 Test on the sum of all N observations Number of degrees of freedom : 200 -Chi-square statistic : 173.58 -p-value of test : 0.91 +Chi-square statistic : 187.71 +p-value of test : 0.72 ----------------------------------------------- -CPU time used : 00:03:28.00 +CPU time used : 00:04:00.54 Generator state: N/A @@ -3257,22 +3257,22 @@ sstring_HammingWeight2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.64 -p-value of test : 7.7e-5 ***** +Kolmogorov-Smirnov+ statistic = D+ : 1.49e-5 +p-value of test : 1 - 1.5e-5 ***** -Kolmogorov-Smirnov- statistic = D- : 0.039 -p-value of test : 0.95 +Kolmogorov-Smirnov- statistic = D- : 1.00 +p-value of test : 4.3e-24 ***** -Anderson-Darling statistic = A2 : 8.07 -p-value of test : 1.2e-4 ***** +Anderson-Darling statistic = A2 : 64.28 +p-value of test : 1.5e-29 ***** Test on the sum of all N observations Number of degrees of freedom : 10000 -Chi-square statistic : 9512.68 -p-value of test : 0.9998 ***** +Chi-square statistic :11646.11 +p-value of test : 9.7e-29 ***** ----------------------------------------------- -CPU time used : 00:01:17.65 +CPU time used : 00:01:38.95 Generator state: N/A @@ -3292,22 +3292,22 @@ sstring_HammingWeight2 test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.037 -p-value of test : 0.95 +Kolmogorov-Smirnov+ statistic = D+ : 0.41 +p-value of test : 0.02 -Kolmogorov-Smirnov- statistic = D- : 0.21 -p-value of test : 0.37 +Kolmogorov-Smirnov- statistic = D- : 0.057 +p-value of test : 0.91 -Anderson-Darling statistic = A2 : 0.48 -p-value of test : 0.76 +Anderson-Darling statistic = A2 : 2.10 +p-value of test : 0.08 Test on the sum of all N observations Number of degrees of freedom : 10000 -Chi-square statistic :10116.20 -p-value of test : 0.21 +Chi-square statistic : 9758.96 +p-value of test : 0.96 ----------------------------------------------- -CPU time used : 00:01:20.09 +CPU time used : 00:01:41.61 Generator state: N/A @@ -3327,11 +3327,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : 2.01 -p-value of test : 0.02 +Normal statistic : -0.23 +p-value of test : 0.59 ----------------------------------------------- -CPU time used : 00:01:31.97 +CPU time used : 00:01:54.18 Generator state: N/A @@ -3351,11 +3351,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : -0.24 -p-value of test : 0.59 +Normal statistic : 0.26 +p-value of test : 0.40 ----------------------------------------------- -CPU time used : 00:01:27.59 +CPU time used : 00:01:48.65 Generator state: N/A @@ -3375,11 +3375,11 @@ sstring_HammingCorr test: ----------------------------------------------- -Normal statistic : -1.38 -p-value of test : 0.92 +Normal statistic : 0.11 +p-value of test : 0.45 ----------------------------------------------- -CPU time used : 00:05:45.97 +CPU time used : 00:07:07.88 Generator state: N/A @@ -3412,11 +3412,11 @@ p-value of test :3.2e-157 ***** Test on the sum of all N observations Number of degrees of freedom : 4890 -Chi-square statistic :71267.12 +Chi-square statistic :73512.97 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:02:29.47 +CPU time used : 00:03:09.22 Generator state: N/A @@ -3438,22 +3438,22 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.27 -p-value of test : 0.20 +Kolmogorov-Smirnov+ statistic = D+ : 0.100 +p-value of test : 0.76 Kolmogorov-Smirnov- statistic = D- : 0.27 -p-value of test : 0.19 +p-value of test : 0.20 -Anderson-Darling statistic = A2 : 1.23 -p-value of test : 0.26 +Anderson-Darling statistic = A2 : 0.74 +p-value of test : 0.52 Test on the sum of all N observations Number of degrees of freedom : 4890 -Chi-square statistic : 4878.54 -p-value of test : 0.54 +Chi-square statistic : 4947.13 +p-value of test : 0.28 ----------------------------------------------- -CPU time used : 00:02:34.20 +CPU time used : 00:03:15.13 Generator state: N/A @@ -3475,11 +3475,11 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- Number of degrees of freedom : 4117 -Chi-square statistic :36294.33 +Chi-square statistic :35679.38 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:01:50.84 +CPU time used : 00:02:21.31 Generator state: N/A @@ -3501,11 +3501,11 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- Number of degrees of freedom : 4117 -Chi-square statistic : 4033.07 -p-value of test : 0.82 +Chi-square statistic : 4067.97 +p-value of test : 0.70 ----------------------------------------------- -CPU time used : 00:01:56.15 +CPU time used : 00:02:26.22 Generator state: N/A @@ -3527,11 +3527,11 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- Number of degrees of freedom : 11825 -Chi-square statistic : 4.43e+5 +Chi-square statistic : 4.60e+5 p-value of test : eps ***** ----------------------------------------------- -CPU time used : 00:02:04.79 +CPU time used : 00:02:33.86 Generator state: N/A @@ -3553,11 +3553,11 @@ sstring_HammingIndep test: Counters with expected numbers >= 10 ----------------------------------------------- Number of degrees of freedom : 11825 -Chi-square statistic :11915.30 -p-value of test : 0.28 +Chi-square statistic :11793.35 +p-value of test : 0.58 ----------------------------------------------- -CPU time used : 00:02:11.00 +CPU time used : 00:02:38.06 Generator state: N/A @@ -3579,20 +3579,20 @@ sstring_Run test: Total number of 1 runs: 2000000000 Number of degrees of freedom : 54 -Chi2 statistic for number of runs : 8531.63 +Chi2 statistic for number of runs : 4340.90 p-value of test : eps ***** ----------------------------------------------- -Total number of bits: 7999997880 +Total number of bits: 7999999755 -Normal statistic for number of bits : -0.017 -p-value of test : 0.51 +Normal statistic for number of bits : -1.94e-3 +p-value of test : 0.50 ----------------------------------------------- -CPU time used : 00:01:36.20 +CPU time used : 00:01:51.52 Generator state: N/A @@ -3614,20 +3614,20 @@ sstring_Run test: Total number of 1 runs: 2000000000 Number of degrees of freedom : 54 -Chi2 statistic for number of runs : 51.31 -p-value of test : 0.58 +Chi2 statistic for number of runs : 40.32 +p-value of test : 0.92 ----------------------------------------------- -Total number of bits: 7999848141 +Total number of bits: 7999952535 -Normal statistic for number of bits : -1.20 -p-value of test : 0.89 +Normal statistic for number of bits : -0.38 +p-value of test : 0.65 ----------------------------------------------- -CPU time used : 00:01:37.61 +CPU time used : 00:01:52.75 Generator state: N/A @@ -3647,24 +3647,24 @@ sstring_AutoCor test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.47 -p-value of test : 7.6e-3 +Kolmogorov-Smirnov+ statistic = D+ : 0.42 +p-value of test : 0.02 -Kolmogorov-Smirnov- statistic = D- : 0.45 +Kolmogorov-Smirnov- statistic = D- : 0.44 p-value of test : 0.01 -Anderson-Darling statistic = A2 : 3.33 -p-value of test : 0.02 +Anderson-Darling statistic = A2 : 3.00 +p-value of test : 0.03 Tests on the sum of all N observations -Standardized normal statistic : -0.045 -p-value of test : 0.52 +Standardized normal statistic : 0.010 +p-value of test : 0.50 -Sample variance : 4.41e-3 -p-value of test : 1 - 4.1e-10 ***** +Sample variance : 0.012 +p-value of test : 1 - 3.9e-8 ***** ----------------------------------------------- -CPU time used : 00:03:25.61 +CPU time used : 00:03:35.97 Generator state: N/A @@ -3684,24 +3684,24 @@ sstring_AutoCor test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.67 -p-value of test : 2.9e-5 ***** +Kolmogorov-Smirnov+ statistic = D+ : 0.26 +p-value of test : 0.21 -Kolmogorov-Smirnov- statistic = D- : 0.29 -p-value of test : 0.15 +Kolmogorov-Smirnov- statistic = D- : 0.71 +p-value of test : 6.1e-6 ***** -Anderson-Darling statistic = A2 : 5.14 -p-value of test : 2.6e-3 +Anderson-Darling statistic = A2 : 5.85 +p-value of test : 1.2e-3 Tests on the sum of all N observations -Standardized normal statistic : -1.54 -p-value of test : 0.94 +Standardized normal statistic : 1.87 +p-value of test : 0.03 -Sample variance : 8.45e-4 -p-value of test : 1 - 2.4e-13 ***** +Sample variance : 6.17e-4 +p-value of test : 1 - 6.0e-14 ***** ----------------------------------------------- -CPU time used : 00:03:15.13 +CPU time used : 00:03:22.74 Generator state: N/A @@ -3721,24 +3721,24 @@ sstring_AutoCor test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.15 -p-value of test : 0.59 +Kolmogorov-Smirnov+ statistic = D+ : 0.27 +p-value of test : 0.20 -Kolmogorov-Smirnov- statistic = D- : 0.19 -p-value of test : 0.44 +Kolmogorov-Smirnov- statistic = D- : 0.18 +p-value of test : 0.48 -Anderson-Darling statistic = A2 : 0.46 -p-value of test : 0.79 +Anderson-Darling statistic = A2 : 1.09 +p-value of test : 0.31 Tests on the sum of all N observations -Standardized normal statistic : 0.30 -p-value of test : 0.38 +Standardized normal statistic : -0.48 +p-value of test : 0.68 -Sample variance : 1.20 -p-value of test : 0.29 +Sample variance : 1.82 +p-value of test : 0.06 ----------------------------------------------- -CPU time used : 00:03:29.61 +CPU time used : 00:03:45.27 Generator state: N/A @@ -3758,24 +3758,24 @@ sstring_AutoCor test: ----------------------------------------------- -Kolmogorov-Smirnov+ statistic = D+ : 0.47 -p-value of test : 6.8e-3 +Kolmogorov-Smirnov+ statistic = D+ : 0.15 +p-value of test : 0.57 -Kolmogorov-Smirnov- statistic = D- : 0.14 -p-value of test : 0.61 +Kolmogorov-Smirnov- statistic = D- : 0.16 +p-value of test : 0.53 -Anderson-Darling statistic = A2 : 2.94 -p-value of test : 0.03 +Anderson-Darling statistic = A2 : 0.37 +p-value of test : 0.87 Tests on the sum of all