Return-Path: X-Original-To: apmail-commons-commits-archive@minotaur.apache.org Delivered-To: apmail-commons-commits-archive@minotaur.apache.org Received: from mail.apache.org (hermes.apache.org [140.211.11.3]) by minotaur.apache.org (Postfix) with SMTP id A07911984F for ; Sun, 20 Mar 2016 22:39:25 +0000 (UTC) Received: (qmail 10689 invoked by uid 500); 20 Mar 2016 22:39:16 -0000 Delivered-To: apmail-commons-commits-archive@commons.apache.org Received: (qmail 10236 invoked by uid 500); 20 Mar 2016 22:39:15 -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 8240 invoked by uid 99); 20 Mar 2016 22:39:14 -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; Sun, 20 Mar 2016 22:39:14 +0000 Received: by git1-us-west.apache.org (ASF Mail Server at git1-us-west.apache.org, from userid 33) id 5E29ADFFCD; Sun, 20 Mar 2016 22:39:14 +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: Sun, 20 Mar 2016 22:39:30 -0000 Message-Id: <05f77e9d3bc940928fda1a51a12dc389@git.apache.org> In-Reply-To: <6ff1e5c25e3b4185aef1287001fd4fb6@git.apache.org> References: <6ff1e5c25e3b4185aef1287001fd4fb6@git.apache.org> X-Mailer: ASF-Git Admin Mailer Subject: [17/36] [math] MATH-1335. http://git-wip-us.apache.org/repos/asf/commons-math/blob/6ddf4769/src/site/resources/txt/userguide/rng/stress/tu/run_1/tu_9 ---------------------------------------------------------------------- diff --git a/src/site/resources/txt/userguide/rng/stress/tu/run_1/tu_9 b/src/site/resources/txt/userguide/rng/stress/tu/run_1/tu_9 new file mode 100644 index 0000000..c937529 --- /dev/null +++ b/src/site/resources/txt/userguide/rng/stress/tu/run_1/tu_9 @@ -0,0 +1,3802 @@ +# +# RNG: org.apache.commons.math4.rng.internal.source32.ISAACRandom +# +# Java: 1.8.0_66 +# Runtime: 1.8.0_66-b17 +# JVM: Java HotSpot(TM) 64-Bit Server VM 25.66-b17 +# OS: Linux 3.16.0-4-amd64 amd64 +# +# Analyzer: ./stdin2testu01 BigCrush +# +xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx + Starting BigCrush + Version: TestU01 1.2.3 +xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx + + +*********************************************************** +Test smarsa_SerialOver calling smultin_MultinomialOver + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +smultin_MultinomialOver test: +----------------------------------------------- + N = 1, n = 1000000000, r = 0, d = 256, t = 3, + Sparse = FALSE + + GenerCell = smultin_GenerCellSerial + Number of cells = d^t = 16777216 + Expected number per cell = 59.604645 + Hashing = FALSE + + For Delta > -1, we use the ChiSquare approximation + Correction factor of the ChiSquare: + Delta = 1, Mu = 0.0083558402, Sigma = 1 + +----------------------------------------------- +Test Results for Delta = 1.0000 + +Number of degrees of freedom : 16711680 +Value of the statistic : 1.67e+7 +p-value of test : 0.73 + + +----------------------------------------------- +CPU time used : 00:01:47.81 + +Generator state: +N/A + + + +*********************************************************** +Test smarsa_SerialOver calling smultin_MultinomialOver + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +smultin_MultinomialOver test: +----------------------------------------------- + N = 1, n = 1000000000, r = 22, d = 256, t = 3, + Sparse = FALSE + + GenerCell = smultin_GenerCellSerial + Number of cells = d^t = 16777216 + Expected number per cell = 59.604645 + Hashing = FALSE + + For Delta > -1, we use the ChiSquare approximation + Correction factor of the ChiSquare: + Delta = 1, Mu = 0.0083558402, Sigma = 1 + +----------------------------------------------- +Test Results for Delta = 1.0000 + +Number of degrees of freedom : 16711680 +Value of the statistic : 1.67e+7 +p-value of test : 0.68 + + +----------------------------------------------- +CPU time used : 00:01:55.15 + +Generator state: +N/A + + + +*********************************************************** +Test smarsa_CollisionOver calling smultin_MultinomialOver + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +smultin_MultinomialOver test: +----------------------------------------------- + N = 30, n = 20000000, r = 0, d = 2097152, t = 2, + Sparse = TRUE + + GenerCell = smultin_GenerCellSerial + Number of cells = d^t = 4398046511104 + Expected number per cell = 1 / 219902.33 + EColl = n^2 / (2k) = 45.47473509 + Hashing = TRUE + + Collision test + + CollisionOver: density = n / k = 1 / 219902.33 + Expected number of collisions = Mu = 45.47 + + +----------------------------------------------- +Results of CollisionOver test: + +POISSON approximation : +Expected number of collisions = N*Mu : 1364.24 +Observed number of collisions : 1372 +p-value of test : 0.42 + +----------------------------- +Total number of cells containing j balls + + j = 0 : 131940795334492 + j = 1 : 599997256 + j = 2 : 1372 + j = 3 : 0 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:03:53.12 + +Generator state: +N/A + + + +*********************************************************** +Test smarsa_CollisionOver calling smultin_MultinomialOver + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +smultin_MultinomialOver test: +----------------------------------------------- + N = 30, n = 20000000, r = 9, d = 2097152, t = 2, + Sparse = TRUE + + GenerCell = smultin_GenerCellSerial + Number of cells = d^t = 4398046511104 + Expected number per cell = 1 / 219902.33 + EColl = n^2 / (2k) = 45.47473509 + Hashing = TRUE + + Collision test + + CollisionOver: density = n / k = 1 / 219902.33 + Expected number of collisions = Mu = 45.47 + + +----------------------------------------------- +Results of CollisionOver test: + +POISSON approximation : +Expected number of collisions = N*Mu : 1364.24 +Observed number of collisions : 1366 +p-value of test : 0.48 + +----------------------------- +Total number of cells containing j balls + + j = 0 : 131940795334486 + j = 1 : 599997268 + j = 2 : 1366 + j = 3 : 0 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:04:20.55 + +Generator state: +N/A + + + +*********************************************************** +Test smarsa_CollisionOver calling smultin_MultinomialOver + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +smultin_MultinomialOver test: +----------------------------------------------- + N = 30, n = 20000000, r = 0, d = 16384, t = 3, + Sparse = TRUE + + GenerCell = smultin_GenerCellSerial + Number of cells = d^t = 4398046511104 + Expected number per cell = 1 / 219902.33 + EColl = n^2 / (2k) = 45.47473509 + Hashing = TRUE + + Collision test + + CollisionOver: density = n / k = 1 / 219902.33 + Expected number of collisions = Mu = 45.47 + + +----------------------------------------------- +Results of CollisionOver test: + +POISSON approximation : +Expected number of collisions = N*Mu : 1364.24 +Observed number of collisions : 1311 +p-value of test : 0.92 + +----------------------------- +Total number of cells containing j balls + + j = 0 : 131940795334431 + j = 1 : 599997378 + j = 2 : 1311 + j = 3 : 0 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:06:19.83 + +Generator state: +N/A + + + +*********************************************************** +Test smarsa_CollisionOver calling smultin_MultinomialOver + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +smultin_MultinomialOver test: +----------------------------------------------- + N = 30, n = 20000000, r = 16, d = 16384, t = 3, + Sparse = TRUE + + GenerCell = smultin_GenerCellSerial + Number of cells = d^t = 4398046511104 + Expected number per cell = 1 / 219902.33 + EColl = n^2 / (2k) = 45.47473509 + Hashing = TRUE + + Collision test + + CollisionOver: density = n / k = 1 / 219902.33 + Expected number of collisions = Mu = 45.47 + + +----------------------------------------------- +Results of CollisionOver test: + +POISSON approximation : +Expected number of collisions = N*Mu : 1364.24 +Observed number of collisions : 1346 +p-value of test : 0.68 + +----------------------------- +Total number of cells containing j balls + + j = 0 : 131940795334466 + j = 1 : 599997308 + j = 2 : 1346 + j = 3 : 0 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:05:34.10 + +Generator state: +N/A + + + +*********************************************************** +Test smarsa_CollisionOver calling smultin_MultinomialOver + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +smultin_MultinomialOver test: +----------------------------------------------- + N = 30, n = 20000000, r = 0, d = 64, t = 7, + Sparse = TRUE + + GenerCell = smultin_GenerCellSerial + Number of cells = d^t = 4398046511104 + Expected number per cell = 1 / 219902.33 + EColl = n^2 / (2k) = 45.47473509 + Hashing = TRUE + + Collision test + + CollisionOver: density = n / k = 1 / 219902.33 + Expected number of collisions = Mu = 45.47 + + +----------------------------------------------- +Results of CollisionOver test: + +POISSON approximation : +Expected number of collisions = N*Mu : 1364.24 +Observed number of collisions : 1325 +p-value of test : 0.85 + +----------------------------- +Total number of cells containing j balls + + j = 0 : 131940795334445 + j = 1 : 599997350 + j = 2 : 1325 + j = 3 : 0 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:06:30.44 + +Generator state: +N/A + + + +*********************************************************** +Test smarsa_CollisionOver calling smultin_MultinomialOver + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +smultin_MultinomialOver test: +----------------------------------------------- + N = 30, n = 20000000, r = 24, d = 64, t = 7, + Sparse = TRUE + + GenerCell = smultin_GenerCellSerial + Number of cells = d^t = 4398046511104 + Expected number per cell = 1 / 219902.33 + EColl = n^2 / (2k) = 45.47473509 + Hashing = TRUE + + Collision test + + CollisionOver: density = n / k = 1 / 219902.33 + Expected number of collisions = Mu = 45.47 + + +----------------------------------------------- +Results of CollisionOver test: + +POISSON approximation : +Expected number of collisions = N*Mu : 1364.24 +Observed number of collisions : 1352 +p-value of test : 0.62 + +----------------------------- +Total number of cells containing j balls + + j = 0 : 131940795334472 + j = 1 : 599997296 + j = 2 : 1352 + j = 3 : 0 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:05:30.09 + +Generator state: +N/A + + + +*********************************************************** +Test smarsa_CollisionOver calling smultin_MultinomialOver + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +smultin_MultinomialOver test: +----------------------------------------------- + N = 30, n = 20000000, r = 0, d = 8, t = 14, + Sparse = TRUE + + GenerCell = smultin_GenerCellSerial + Number of cells = d^t = 4398046511104 + Expected number per cell = 1 / 219902.33 + EColl = n^2 / (2k) = 45.47473509 + Hashing = TRUE + + Collision test + + CollisionOver: density = n / k = 1 / 219902.33 + Expected number of collisions = Mu = 45.47 + + +----------------------------------------------- +Results of CollisionOver test: + +POISSON approximation : +Expected number of collisions = N*Mu : 1364.24 +Observed number of collisions : 1383 +p-value of test : 0.31 + +----------------------------- +Total number of cells containing j balls + + j = 0 : 131940795334503 + j = 1 : 599997234 + j = 2 : 1383 + j = 3 : 0 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:05:22.82 + +Generator state: +N/A + + + +*********************************************************** +Test smarsa_CollisionOver calling smultin_MultinomialOver + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +smultin_MultinomialOver test: +----------------------------------------------- + N = 30, n = 20000000, r = 27, d = 8, t = 14, + Sparse = TRUE + + GenerCell = smultin_GenerCellSerial + Number of cells = d^t = 4398046511104 + Expected number per cell = 1 / 219902.33 + EColl = n^2 / (2k) = 45.47473509 + Hashing = TRUE + + Collision test + + CollisionOver: density = n / k = 1 / 219902.33 + Expected number of collisions = Mu = 45.47 + + +----------------------------------------------- +Results of CollisionOver test: + +POISSON approximation : +Expected number of collisions = N*Mu : 1364.24 +Observed number of collisions : 1362 +p-value of test : 0.52 + +----------------------------- +Total number of cells containing j balls + + j = 0 : 131940795334482 + j = 1 : 599997276 + j = 2 : 1362 + j = 3 : 0 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:05:21.78 + +Generator state: +N/A + + + +*********************************************************** +Test smarsa_CollisionOver calling smultin_MultinomialOver + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +smultin_MultinomialOver test: +----------------------------------------------- + N = 30, n = 20000000, r = 0, d = 4, t = 21, + Sparse = TRUE + + GenerCell = smultin_GenerCellSerial + Number of cells = d^t = 4398046511104 + Expected number per cell = 1 / 219902.33 + EColl = n^2 / (2k) = 45.47473509 + Hashing = TRUE + + Collision test + + CollisionOver: density = n / k = 1 / 219902.33 + Expected number of collisions = Mu = 45.47 + + +----------------------------------------------- +Results of CollisionOver test: + +POISSON approximation : +Expected number of collisions = N*Mu : 1364.24 +Observed number of collisions : 1403 +p-value of test : 0.15 + +----------------------------- +Total number of cells containing j balls + + j = 0 : 131940795334523 + j = 1 : 599997194 + j = 2 : 1403 + j = 3 : 0 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:07:24.15 + +Generator state: +N/A + + + +*********************************************************** +Test smarsa_CollisionOver calling smultin_MultinomialOver + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +smultin_MultinomialOver test: +----------------------------------------------- + N = 30, n = 20000000, r = 28, d = 4, t = 21, + Sparse = TRUE + + GenerCell = smultin_GenerCellSerial + Number of cells = d^t = 4398046511104 + Expected number per cell = 1 / 219902.33 + EColl = n^2 / (2k) = 45.47473509 + Hashing = TRUE + + Collision test + + CollisionOver: density = n / k = 1 / 219902.33 + Expected number of collisions = Mu = 45.47 + + +----------------------------------------------- +Results of CollisionOver test: + +POISSON approximation : +Expected number of collisions = N*Mu : 1364.24 +Observed number of collisions : 1316 +p-value of test : 0.90 + +----------------------------- +Total number of cells containing j balls + + j = 0 : 131940795334436 + j = 1 : 599997368 + j = 2 : 1316 + j = 3 : 0 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:07:33.75 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +smarsa_BirthdaySpacings test: +----------------------------------------------- + N = 100, n = 10000000, r = 0, d = 2147483648, t = 2, p = 1 + + + Number of cells = d^t = 4611686018427387904 + Lambda = Poisson mean = 54.2101 + + +---------------------------------------------------- +Total expected number = N*Lambda : 5421.01 +Total observed number : 5382 +p-value of test : 0.70 + + +----------------------------------------------- +CPU time used : 00:04:27.59 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +smarsa_BirthdaySpacings test: +----------------------------------------------- + N = 20, n = 20000000, r = 0, d = 2097152, t = 3, p = 1 + + + Number of cells = d^t = 9223372036854775808 + Lambda = Poisson mean = 216.8404 + + +---------------------------------------------------- +Total expected number = N*Lambda : 4336.81 +Total observed number : 4342 +p-value of test : 0.47 + + +----------------------------------------------- +CPU time used : 00:01:56.26 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +smarsa_BirthdaySpacings test: +----------------------------------------------- + N = 20, n = 30000000, r = 14, d = 65536, t = 4, p = 1 + + + Number of cells = d^t = 18446744073709551616 + Lambda = Poisson mean = 365.9182 + + +---------------------------------------------------- +Total expected number = N*Lambda : 7318.36 +Total observed number : 7369 +p-value of test : 0.28 + + +----------------------------------------------- +CPU time used : 00:03:14.09 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +smarsa_BirthdaySpacings test: +----------------------------------------------- + N = 20, n = 20000000, r = 0, d = 512, t = 7, p = 1 + + + Number of cells = d^t = 9223372036854775808 + Lambda = Poisson mean = 216.8404 + + +---------------------------------------------------- +Total expected number = N*Lambda : 4336.81 +Total observed number : 4267 +p-value of test : 0.85 + + +----------------------------------------------- +CPU time used : 00:02:24.22 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +smarsa_BirthdaySpacings test: +----------------------------------------------- + N = 20, n = 20000000, r = 7, d = 512, t = 7, p = 1 + + + Number of cells = d^t = 9223372036854775808 + Lambda = Poisson mean = 216.8404 + + +---------------------------------------------------- +Total expected number = N*Lambda : 4336.81 +Total observed number : 4322 +p-value of test : 0.59 + + +----------------------------------------------- +CPU time used : 00:02:31.80 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +smarsa_BirthdaySpacings test: +----------------------------------------------- + N = 20, n = 30000000, r = 14, d = 256, t = 8, p = 1 + + + Number of cells = d^t = 18446744073709551616 + Lambda = Poisson mean = 365.9182 + + +---------------------------------------------------- +Total expected number = N*Lambda : 7318.36 +Total observed number : 7370 +p-value of test : 0.27 + + +----------------------------------------------- +CPU time used : 00:04:04.76 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +smarsa_BirthdaySpacings test: +----------------------------------------------- + N = 20, n = 30000000, r = 22, d = 256, t = 8, p = 1 + + + Number of cells = d^t = 18446744073709551616 + Lambda = Poisson mean = 365.9182 + + +---------------------------------------------------- +Total expected number = N*Lambda : 7318.36 +Total observed number : 7307 +p-value of test : 0.55 + + +----------------------------------------------- +CPU time used : 00:04:04.47 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +smarsa_BirthdaySpacings test: +----------------------------------------------- + N = 20, n = 30000000, r = 0, d = 16, t = 16, p = 1 + + + Number of cells = d^t = 18446744073709551616 + Lambda = Poisson mean = 365.9182 + + +---------------------------------------------------- +Total expected number = N*Lambda : 7318.36 +Total observed number : 7286 +p-value of test : 0.64 + + +----------------------------------------------- +CPU time used : 00:05:05.03 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +smarsa_BirthdaySpacings test: +----------------------------------------------- + N = 20, n = 30000000, r = 26, d = 16, t = 16, p = 1 + + + Number of cells = d^t = 18446744073709551616 + Lambda = Poisson mean = 365.9182 + + +---------------------------------------------------- +Total expected number = N*Lambda : 7318.36 +Total observed number : 7279 +p-value of test : 0.67 + + +----------------------------------------------- +CPU time used : 00:05:43.02 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +snpair_ClosePairs test: +----------------------------------------------- + N = 30, n = 6000000, r = 0, t = 3, p = 0, m = 30, Torus = TRUE + + +--------------------------------------- +Test based on the 2 nearest points (NP): + +Stat. AD on the N values (NP) : 1.73 +p-value of test : 0.13 + + +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) : 0.35 +p-value of test : 0.89 + +Test on the Nm values of W_{n,i}(mNP1): 0.62 +p-value of test : 0.63 + +Test on the jump times of Y + (superposition of Yn): + +Expected number of jumps of Y = mN : 900 +Number of jumps of Y : 901 +p-value of test : 0.49 + +Stat. AD (mNP2) : 0.65 +p-value of test : 0.60 + +Stat. AD after spacings (mNP2-S) : 1.18 +p-value of test : 0.28 + +----------------------------------------------- +CPU time used : 00:03:16.97 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +snpair_ClosePairs test: +----------------------------------------------- + N = 20, n = 4000000, r = 0, t = 5, p = 0, m = 30, Torus = TRUE + + +--------------------------------------- +Test based on the 2 nearest points (NP): + +Stat. AD on the N values (NP) : 1.29 +p-value of test : 0.23 + + +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) : 2.71 +p-value of test : 0.04 + +Test on the Nm values of W_{n,i}(mNP1): 1.05 +p-value of test : 0.33 + +Test on the jump times of Y + (superposition of Yn): + +Expected number of jumps of Y = mN : 600 +Number of jumps of Y : 625 +p-value of test : 0.16 + +Stat. AD (mNP2) : 1.09 +p-value of test : 0.31 + +Stat. AD after spacings (mNP2-S) : 2.03 +p-value of test : 0.09 + +----------------------------------------------- +CPU time used : 00:02:08.02 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +snpair_ClosePairs test: +----------------------------------------------- + N = 10, n = 3000000, r = 0, t = 9, p = 0, m = 30, Torus = TRUE + + +--------------------------------------- +Test based on the 2 nearest points (NP): + +Stat. AD on the N values (NP) : 0.66 +p-value of test : 0.59 + + +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) : 1.31 +p-value of test : 0.23 + +Test on the Nm values of W_{n,i}(mNP1): 0.35 +p-value of test : 0.90 + +Test on the jump times of Y + (superposition of Yn): + +Expected number of jumps of Y = mN : 300 +Number of jumps of Y : 291 +p-value of test : 0.69 + +Stat. AD (mNP2) : 0.55 +p-value of test : 0.70 + +Stat. AD after spacings (mNP2-S) : 0.63 +p-value of test : 0.62 + +----------------------------------------------- +CPU time used : 00:03:16.56 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +snpair_ClosePairs test: +----------------------------------------------- + N = 5, n = 2000000, r = 0, t = 16, p = 0, m = 30, Torus = TRUE + + +--------------------------------------- +Test based on the 2 nearest points (NP): + +Stat. AD on the N values (NP) : 0.97 +p-value of test : 0.37 + + +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) : 1.08 +p-value of test : 0.32 + +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 : 150 +Number of jumps of Y : 141 +p-value of test : 0.75 + +Stat. AD (mNP2) : 1.20 +p-value of test : 0.27 + +Stat. AD after spacings (mNP2-S) : 1.48 +p-value of test : 0.18 + +----------------------------------------------- +CPU time used : 00:03:23.05 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sknuth_SimpPoker test: +----------------------------------------------- + N = 1, n = 400000000, r = 0, d = 8, k = 8 + + +----------------------------------------------- +Number of degrees of freedom : 7 +Chi-square statistic : 2.57 +p-value of test : 0.92 + +----------------------------------------------- +CPU time used : 00:01:22.39 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sknuth_SimpPoker test: +----------------------------------------------- + N = 1, n = 400000000, r = 27, d = 8, k = 8 + + +----------------------------------------------- +Number of degrees of freedom : 7 +Chi-square statistic : 2.13 +p-value of test : 0.95 + +----------------------------------------------- +CPU time used : 00:01:31.72 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sknuth_SimpPoker test: +----------------------------------------------- + N = 1, n = 100000000, r = 0, d = 32, k = 32 + + +----------------------------------------------- +Number of degrees of freedom : 18 +Chi-square statistic : 20.64 +p-value of test : 0.30 + +----------------------------------------------- +CPU time used : 00:01:21.89 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sknuth_SimpPoker test: +----------------------------------------------- + N = 1, n = 100000000, r = 25, d = 32, k = 32 + + +----------------------------------------------- +Number of degrees of freedom : 18 +Chi-square statistic : 27.26 +p-value of test : 0.07 + +----------------------------------------------- +CPU time used : 00:01:32.81 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sknuth_CouponCollector test: +----------------------------------------------- + N = 1, n = 200000000, r = 0, d = 8 + + +----------------------------------------------- +Number of degrees of freedom : 54 +Chi-square statistic : 71.32 +p-value of test : 0.06 + +----------------------------------------------- +CPU time used : 00:01:42.97 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sknuth_CouponCollector test: +----------------------------------------------- + N = 1, n = 200000000, r = 10, d = 8 + + +----------------------------------------------- +Number of degrees of freedom : 54 +Chi-square statistic : 49.62 +p-value of test : 0.64 + +----------------------------------------------- +CPU time used : 00:01:59.51 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sknuth_CouponCollector test: +----------------------------------------------- + N = 1, n = 200000000, r = 20, d = 8 + + +----------------------------------------------- +Number of degrees of freedom : 54 +Chi-square statistic : 39.61 +p-value of test : 0.93 + +----------------------------------------------- +CPU time used : 00:01:57.68 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sknuth_CouponCollector test: +----------------------------------------------- + N = 1, n = 200000000, r = 27, d = 8 + + +----------------------------------------------- +Number of degrees of freedom : 54 +Chi-square statistic : 58.34 +p-value of test : 0.32 + +----------------------------------------------- +CPU time used : 00:01:58.02 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sknuth_Gap test: +----------------------------------------------- + N = 1, n = 500000000, r = 0, Alpha = 0, Beta = 0.0625 + + +----------------------------------------------- +Number of degrees of freedom : 232 +Chi-square statistic : 212.90 +p-value of test : 0.81 + +----------------------------------------------- +CPU time used : 00:02:13.75 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sknuth_Gap test: +----------------------------------------------- + N = 1, n = 300000000, r = 25, Alpha = 0, Beta = 0.03125 + + +----------------------------------------------- +Number of degrees of freedom : 434 +Chi-square statistic : 423.15 +p-value of test : 0.64 + +----------------------------------------------- +CPU time used : 00:02:55.72 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sknuth_Gap test: +----------------------------------------------- + N = 1, n = 100000000, r = 0, Alpha = 0, Beta = 0.0078125 + + +----------------------------------------------- +Number of degrees of freedom : 1437 +Chi-square statistic : 1417.79 +p-value of test : 0.64 + +----------------------------------------------- +CPU time used : 00:03:11.06 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sknuth_Gap test: +----------------------------------------------- + N = 1, n = 10000000, r = 20, Alpha = 0, Beta = 0.000976562 + + +----------------------------------------------- +Number of degrees of freedom : 7046 +Chi-square statistic : 7051.18 +p-value of test : 0.48 + +----------------------------------------------- +CPU time used : 00:02:58.52 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sknuth_Run test: +----------------------------------------------- + N = 5, n = 1000000000, r = 0, Up = FALSE + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.048 +p-value of test : 0.94 + +Kolmogorov-Smirnov- statistic = D- : 0.36 +p-value of test : 0.21 + +Anderson-Darling statistic = A2 : 1.19 +p-value of test : 0.27 + +Test on the sum of all N observations +Number of degrees of freedom : 30 +Chi-square statistic : 40.38 +p-value of test : 0.10 + +----------------------------------------------- +CPU time used : 00:01:39.23 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sknuth_Run test: +----------------------------------------------- + N = 10, n = 1000000000, r = 15, Up = TRUE + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.089 +p-value of test : 0.81 + +Kolmogorov-Smirnov- statistic = D- : 0.33 +p-value of test : 0.09 + +Anderson-Darling statistic = A2 : 2.20 +p-value of test : 0.07 + +Test on the sum of all N observations +Number of degrees of freedom : 60 +Chi-square statistic : 84.56 +p-value of test : 0.02 + +----------------------------------------------- +CPU time used : 00:04:13.95 + +Generator state: +N/A + + + +*********************************************************** +Test sknuth_Permutation calling smultin_Multinomial + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +smultin_Multinomial test: +----------------------------------------------- + N = 1, n = 1000000000, r = 5, t = 3, + Sparse = FALSE + + GenerCell = smultin_GenerCellPermut + Number of cells = t! = 6 + Expected number per cell = 1.6666667e+08 + Hashing = FALSE + + For Delta > -1, we use the ChiSquare approximation + Correction factor of the ChiSquare: + Delta = 1, Mu = 2.5000002e-09, Sigma = 1 + +----------------------------------------------- +Test Results for Delta = 1.0000 + +Number of degrees of freedom : 5 +Value of the statistic : 10.87 +p-value of test : 0.05 + + +----------------------------------------------- +CPU time used : 00:01:12.90 + +Generator state: +N/A + + + +*********************************************************** +Test sknuth_Permutation calling smultin_Multinomial + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +smultin_Multinomial test: +----------------------------------------------- + N = 1, n = 1000000000, r = 5, t = 5, + Sparse = FALSE + + GenerCell = smultin_GenerCellPermut + Number of cells = t! = 120 + Expected number per cell = 8333333.3 + Hashing = FALSE + + For Delta > -1, we use the ChiSquare approximation + Correction factor of the ChiSquare: + Delta = 1, Mu = 5.9500005e-08, Sigma = 1 + +----------------------------------------------- +Test Results for Delta = 1.0000 + +Number of degrees of freedom : 119 +Value of the statistic : 149.44 +p-value of test : 0.03 + + +----------------------------------------------- +CPU time used : 00:02:04.69 + +Generator state: +N/A + + + +*********************************************************** +Test sknuth_Permutation calling smultin_Multinomial + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +smultin_Multinomial test: +----------------------------------------------- + N = 1, n = 500000000, r = 5, t = 7, + Sparse = FALSE + + GenerCell = smultin_GenerCellPermut + Number of cells = t! = 5040 + Expected number per cell = 99206.349 + Hashing = FALSE + + For Delta > -1, we use the ChiSquare approximation + Correction factor of the ChiSquare: + Delta = 1, Mu = 5.0390004e-06, Sigma = 1 + +----------------------------------------------- +Test Results for Delta = 1.0000 + +Number of degrees of freedom : 5039 +Value of the statistic : 4928.58 +p-value of test : 0.86 + + +----------------------------------------------- +CPU time used : 00:01:29.95 + +Generator state: +N/A + + + +*********************************************************** +Test sknuth_Permutation calling smultin_Multinomial + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +smultin_Multinomial test: +----------------------------------------------- + N = 1, n = 500000000, r = 10, t = 10, + Sparse = FALSE + + GenerCell = smultin_GenerCellPermut + Number of cells = t! = 3628800 + Expected number per cell = 137.7866 + Hashing = FALSE + + For Delta > -1, we use the ChiSquare approximation + Correction factor of the ChiSquare: + Delta = 1, Mu = 0.0036287993, Sigma = 1 + +----------------------------------------------- +Test Results for Delta = 1.0000 + +Number of degrees of freedom : 3628799 +Value of the statistic : 3.63e+6 +p-value of test : 0.41 + + +----------------------------------------------- +CPU time used : 00:03:16.47 + +Generator state: +N/A + + + +*********************************************************** +Test sknuth_CollisionPermut calling smultin_Multinomial + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +smultin_Multinomial test: +----------------------------------------------- + N = 20, n = 20000000, r = 0, t = 14, + Sparse = TRUE + + GenerCell = smultin_GenerCellPermut + Number of cells = t! = 87178291200 + Expected number per cell = 1 / 4358.9146 + EColl = n^2 / (2k) = 2294.14912 + Hashing = TRUE + + Collision test, Mu = 2293.9736, Sigma = 47.8841 + +----------------------------------------------- +Test Results for Collisions + +For the total number of collisions, we use + the Poisson approximation: +Expected number of collisions = N*Mu : 45879.47 +Observed number of collisions : 45961 +p-value of test : 0.35 + + +----------------------------- +Total number of cells containing j balls + + j = 0 : 1743165869961 + j = 1 : 399908081 + j = 2 : 45955 + j = 3 : 3 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:04:34.69 + +Generator state: +N/A + + + +*********************************************************** +Test sknuth_CollisionPermut calling smultin_Multinomial + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +smultin_Multinomial test: +----------------------------------------------- + N = 20, n = 20000000, r = 10, t = 14, + Sparse = TRUE + + GenerCell = smultin_GenerCellPermut + Number of cells = t! = 87178291200 + Expected number per cell = 1 / 4358.9146 + EColl = n^2 / (2k) = 2294.14912 + Hashing = TRUE + + Collision test, Mu = 2293.9736, Sigma = 47.8841 + +----------------------------------------------- +Test Results for Collisions + +For the total number of collisions, we use + the Poisson approximation: +Expected number of collisions = N*Mu : 45879.47 +Observed number of collisions : 46224 +p-value of test : 0.05 + + +----------------------------- +Total number of cells containing j balls + + j = 0 : 1743165870224 + j = 1 : 399907556 + j = 2 : 46216 + j = 3 : 4 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:04:51.64 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sknuth_MaxOft test: +----------------------------------------------- + N = 40, n = 10000000, r = 0, d = 100000, t = 8 + + Number of categories = 100000 + Expected number per category = 100.00 + + +----------------------------------------------- +Test results for chi2 with 99999 degrees of freedom: + +Kolmogorov-Smirnov+ statistic = D+ : 0.089 +p-value of test : 0.50 + +Kolmogorov-Smirnov- statistic = D- : 0.070 +p-value of test : 0.64 + +Anderson-Darling statistic = A2 : 0.44 +p-value of test : 0.81 + +Test on the sum of all N observations +Number of degrees of freedom : 3999960 +Chi-square statistic : 4.00e+6 +p-value of test : 0.64 + + +----------------------------------------------- +Test results for Anderson-Darling: + +Kolmogorov-Smirnov+ statistic = D+ : 0.11 +p-value of test : 0.38 + +Kolmogorov-Smirnov- statistic = D- : 0.042 +p-value of test : 0.84 + +Anderson-Darling statistic = A2 : 0.36 +p-value of test : 0.89 + + +----------------------------------------------- +CPU time used : 00:03:24.95 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sknuth_MaxOft test: +----------------------------------------------- + N = 30, n = 10000000, r = 0, d = 100000, t = 16 + + Number of categories = 100000 + Expected number per category = 100.00 + + +----------------------------------------------- +Test results for chi2 with 99999 degrees of freedom: + +Kolmogorov-Smirnov+ statistic = D+ : 0.041 +p-value of test : 0.88 + +Kolmogorov-Smirnov- statistic = D- : 0.18 +p-value of test : 0.14 + +Anderson-Darling statistic = A2 : 1.87 +p-value of test : 0.11 + +Test on the sum of all N observations +Number of degrees of freedom : 2999970 +Chi-square statistic : 3.00e+6 +p-value of test : 0.05 + + +----------------------------------------------- +Test results for Anderson-Darling: + +Kolmogorov-Smirnov+ statistic = D+ : 0.21 +p-value of test : 0.06 + +Kolmogorov-Smirnov- statistic = D- : 0.032 +p-value of test : 0.92 + +Anderson-Darling statistic = A2 : 1.45 +p-value of test : 0.19 + + +----------------------------------------------- +CPU time used : 00:03:12.29 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sknuth_MaxOft test: +----------------------------------------------- + N = 20, n = 10000000, r = 0, d = 100000, t = 24 + + Number of categories = 100000 + Expected number per category = 100.00 + + +----------------------------------------------- +Test results for chi2 with 99999 degrees of freedom: + +Kolmogorov-Smirnov+ statistic = D+ : 0.18 +p-value of test : 0.26 + +Kolmogorov-Smirnov- statistic = D- : 0.017 +p-value of test : 0.98 + +Anderson-Darling statistic = A2 : 0.69 +p-value of test : 0.57 + +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 + + +----------------------------------------------- +Test results for Anderson-Darling: + +Kolmogorov-Smirnov+ statistic = D+ : 0.066 +p-value of test : 0.81 + +Kolmogorov-Smirnov- statistic = D- : 0.20 +p-value of test : 0.19 + +Anderson-Darling statistic = A2 : 1.17 +p-value of test : 0.28 + + +----------------------------------------------- +CPU time used : 00:02:31.98 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sknuth_MaxOft test: +----------------------------------------------- + N = 20, n = 10000000, r = 0, d = 100000, t = 32 + + Number of categories = 100000 + Expected number per category = 100.00 + + +----------------------------------------------- +Test results for chi2 with 99999 degrees of freedom: + +Kolmogorov-Smirnov+ statistic = D+ : 0.14 +p-value of test : 0.44 + +Kolmogorov-Smirnov- statistic = D- : 0.16 +p-value of test : 0.33 + +Anderson-Darling statistic = A2 : 0.69 +p-value of test : 0.56 + +Test on the sum of all N observations +Number of degrees of freedom : 1999980 +Chi-square statistic : 2.00e+6 +p-value of test : 0.56 + + +----------------------------------------------- +Test results for Anderson-Darling: + +Kolmogorov-Smirnov+ statistic = D+ : 0.097 +p-value of test : 0.64 + +Kolmogorov-Smirnov- statistic = D- : 0.29 +p-value of test : 0.03 + +Anderson-Darling statistic = A2 : 1.75 +p-value of test : 0.13 + + +----------------------------------------------- +CPU time used : 00:02:48.70 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +svaria_SampleProd test: +----------------------------------------------- + N = 40, n = 10000000, r = 0, t = 8 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.056 +p-value of test : 0.75 + +Kolmogorov-Smirnov- statistic = D- : 0.15 +p-value of test : 0.16 + +Anderson-Darling statistic = A2 : 1.02 +p-value of test : 0.35 + +----------------------------------------------- +CPU time used : 00:02:26.21 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +svaria_SampleProd test: +----------------------------------------------- + N = 20, n = 10000000, r = 0, t = 16 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.16 +p-value of test : 0.32 + +Kolmogorov-Smirnov- statistic = D- : 0.075 +p-value of test : 0.76 + +Anderson-Darling statistic = A2 : 0.42 +p-value of test : 0.83 + +----------------------------------------------- +CPU time used : 00:01:46.88 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +svaria_SampleProd test: +----------------------------------------------- + N = 20, n = 10000000, r = 0, t = 24 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.022 +p-value of test : 0.97 + +Kolmogorov-Smirnov- statistic = D- : 0.14 +p-value of test : 0.44 + +Anderson-Darling statistic = A2 : 0.74 +p-value of test : 0.53 + +----------------------------------------------- +CPU time used : 00:02:12.96 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +svaria_SampleMean test: +----------------------------------------------- + N = 20000000, n = 30, r = 0 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 9.59e-5 +p-value of test : 0.69 + +Kolmogorov-Smirnov- statistic = D- : 1.93e-4 +p-value of test : 0.23 + +Anderson-Darling statistic = A2 : 0.74 +p-value of test : 0.52 + +----------------------------------------------- +CPU time used : 00:00:32.78 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +svaria_SampleMean test: +----------------------------------------------- + N = 20000000, n = 30, r = 10 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 3.61e-5 +p-value of test : 0.95 + +Kolmogorov-Smirnov- statistic = D- : 2.62e-4 +p-value of test : 0.06 + +Anderson-Darling statistic = A2 : 2.12 +p-value of test : 0.08 + +----------------------------------------------- +CPU time used : 00:00:32.87 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +svaria_SampleCorr test: +----------------------------------------------- + N = 1, n = 2000000000, r = 0, k = 1 + + +----------------------------------------------- +Normal statistic : 0.039 +p-value of test : 0.48 + +----------------------------------------------- +CPU time used : 00:00:32.62 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +svaria_SampleCorr test: +----------------------------------------------- + N = 1, n = 2000000000, r = 0, k = 2 + + +----------------------------------------------- +Normal statistic : 1.17 +p-value of test : 0.12 + +----------------------------------------------- +CPU time used : 00:00:35.03 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +svaria_AppearanceSpacings test: +----------------------------------------------- + N = 1, Q = 10000000, K = 1000000000, r = 0, s = 3, L = 15 + + Sequences of n = (K + Q)L = 15150000000 bits + Q = 10000000 initialization blocks + K = 1000000000 blocks for the test + the blocks have L = 15 bits + + + +----------------------------------------------- +Normal statistic : 0.91 +p-value of test : 0.18 + +----------------------------------------------- +CPU time used : 00:02:00.00 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +svaria_AppearanceSpacings test: +----------------------------------------------- + N = 1, Q = 10000000, K = 1000000000, r = 27, s = 3, L = 15 + + Sequences of n = (K + Q)L = 15150000000 bits + Q = 10000000 initialization blocks + K = 1000000000 blocks for the test + the blocks have L = 15 bits + + + +----------------------------------------------- +Normal statistic : 1.28 +p-value of test : 0.10 + +----------------------------------------------- +CPU time used : 00:02:06.27 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +svaria_WeightDistrib test: +----------------------------------------------- + N = 1, n = 20000000, r = 0, k = 256, Alpha = 0, Beta = 0.25 + + +----------------------------------------------- +Number of degrees of freedom : 67 +Chi-square statistic : 78.24 +p-value of test : 0.16 + +----------------------------------------------- +CPU time used : 00:01:20.71 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +svaria_WeightDistrib test: +----------------------------------------------- + N = 1, n = 20000000, r = 20, k = 256, Alpha = 0, Beta = 0.25 + + +----------------------------------------------- +Number of degrees of freedom : 67 +Chi-square statistic : 79.68 +p-value of test : 0.14 + +----------------------------------------------- +CPU time used : 00:01:42.84 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +svaria_WeightDistrib test: +----------------------------------------------- + N = 1, n = 20000000, r = 28, k = 256, Alpha = 0, Beta = 0.25 + + +----------------------------------------------- +Number of degrees of freedom : 67 +Chi-square statistic : 78.44 +p-value of test : 0.16 + +----------------------------------------------- +CPU time used : 00:01:43.51 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +svaria_WeightDistrib test: +----------------------------------------------- + N = 1, n = 20000000, r = 0, k = 256, Alpha = 0, Beta = 0.0625 + + +----------------------------------------------- +Number of degrees of freedom : 37 +Chi-square statistic : 27.21 +p-value of test : 0.88 + +----------------------------------------------- +CPU time used : 00:01:26.26 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +svaria_WeightDistrib test: +----------------------------------------------- + N = 1, n = 20000000, r = 10, k = 256, Alpha = 0, Beta = 0.0625 + + +----------------------------------------------- +Number of degrees of freedom : 37 +Chi-square statistic : 37.89 +p-value of test : 0.43 + +----------------------------------------------- +CPU time used : 00:01:42.18 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +svaria_WeightDistrib test: +----------------------------------------------- + N = 1, n = 20000000, r = 26, k = 256, Alpha = 0, Beta = 0.0625 + + +----------------------------------------------- +Number of degrees of freedom : 37 +Chi-square statistic : 20.56 +p-value of test : 0.99 + +----------------------------------------------- +CPU time used : 00:01:39.39 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +svaria_SumCollector test: +----------------------------------------------- + N = 1, n = 500000000, r = 0, g = 10 + + +----------------------------------------------- +Number of degrees of freedom : 29 +Chi-square statistic : 22.88 +p-value of test : 0.78 + +----------------------------------------------- +CPU time used : 00:02:39.37 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +smarsa_MatrixRank test: +----------------------------------------------- + N = 10, n = 1000000, r = 0, s = 5, L = 30, k = 30 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.15 +p-value of test : 0.57 + +Kolmogorov-Smirnov- statistic = D- : 0.12 +p-value of test : 0.70 + +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 : 40 +Chi-square statistic : 38.94 +p-value of test : 0.52 + +----------------------------------------------- +CPU time used : 00:01:26.11 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +smarsa_MatrixRank test: +----------------------------------------------- + N = 10, n = 1000000, r = 25, s = 5, L = 30, k = 30 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.19 +p-value of test : 0.45 + +Kolmogorov-Smirnov- statistic = D- : 0.15 +p-value of test : 0.58 + +Anderson-Darling statistic = A2 : 0.49 +p-value of test : 0.75 + +Test on the sum of all N observations +Number of degrees of freedom : 40 +Chi-square statistic : 35.01 +p-value of test : 0.69 + +----------------------------------------------- +CPU time used : 00:01:28.15 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +smarsa_MatrixRank test: +----------------------------------------------- + N = 1, n = 5000, r = 0, s = 4, L = 1000, k = 1000 + + +----------------------------------------------- +Number of degrees of freedom : 3 +Chi-square statistic : 4.78 +p-value of test : 0.19 + +----------------------------------------------- +CPU time used : 00:02:09.47 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +smarsa_MatrixRank test: +----------------------------------------------- + N = 1, n = 5000, r = 26, s = 4, L = 1000, k = 1000 + + +----------------------------------------------- +Number of degrees of freedom : 3 +Chi-square statistic : 1.72 +p-value of test : 0.63 + +----------------------------------------------- +CPU time used : 00:02:10.92 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +smarsa_MatrixRank test: +----------------------------------------------- + N = 1, n = 80, r = 15, s = 15, L = 5000, k = 5000 + + +----------------------------------------------- +Number of degrees of freedom : 2 +Chi-square statistic : 4.54 +p-value of test : 0.10 + +----------------------------------------------- +CPU time used : 00:01:37.51 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +smarsa_MatrixRank test: +----------------------------------------------- + N = 1, n = 80, r = 0, s = 30, L = 5000, k = 5000 + + +----------------------------------------------- +Number of degrees of freedom : 2 +Chi-square statistic : 0.59 +p-value of test : 0.74 + +----------------------------------------------- +CPU time used : 00:01:18.50 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +smarsa_Savir2 test: +----------------------------------------------- + N = 10, n = 10000000, r = 10, m = 1048576, t = 30 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.15 +p-value of test : 0.59 + +Kolmogorov-Smirnov- statistic = D- : 0.36 +p-value of test : 0.06 + +Anderson-Darling statistic = A2 : 2.55 +p-value of test : 0.05 + +Test on the sum of all N observations +Number of degrees of freedom : 130 +Chi-square statistic : 159.65 +p-value of test : 0.04 + +----------------------------------------------- +CPU time used : 00:00:58.37 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +smarsa_GCD test: +----------------------------------------------- + N = 10, n = 50000000, r = 0, s = 30 + + +----------------------------------------------- +Test results for GCD values: + +Kolmogorov-Smirnov+ statistic = D+ : 0.090 +p-value of test : 0.80 + +Kolmogorov-Smirnov- statistic = D- : 0.31 +p-value of test : 0.12 + +Anderson-Darling statistic = A2 : 0.71 +p-value of test : 0.54 + +Test on the sum of all N observations +Number of degrees of freedom : 17430 +Chi-square statistic :17552.41 +p-value of test : 0.26 + + + +----------------------------------------------- +CPU time used : 00:01:53.90 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +swalk_RandomWalk1 test: +----------------------------------------------- + N = 1, n = 100000000, r = 0, s = 5, L0 = 50, L1 = 50 + + + +----------------------------------------------- +Test on the values of the Statistic H + +Number of degrees of freedom : 36 +ChiSquare statistic : 34.71 +p-value of test : 0.53 + + +----------------------------------------------- +Test on the values of the Statistic M + +Number of degrees of freedom : 35 +ChiSquare statistic : 30.01 +p-value of test : 0.71 + + +----------------------------------------------- +Test on the values of the Statistic J + +Number of degrees of freedom : 25 +ChiSquare statistic : 35.36 +p-value of test : 0.08 + + +----------------------------------------------- +Test on the values of the Statistic R + +Number of degrees of freedom : 24 +ChiSquare statistic : 32.12 +p-value of test : 0.12 + + +----------------------------------------------- +Test on the values of the Statistic C + +Number of degrees of freedom : 17 +ChiSquare statistic : 25.95 +p-value of test : 0.08 + + +----------------------------------------------- +CPU time used : 00:00:51.37 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +swalk_RandomWalk1 test: +----------------------------------------------- + N = 1, n = 100000000, r = 25, s = 5, L0 = 50, L1 = 50 + + + +----------------------------------------------- +Test on the values of the Statistic H + +Number of degrees of freedom : 36 +ChiSquare statistic : 24.84 +p-value of test : 0.92 + + +----------------------------------------------- +Test on the values of the Statistic M + +Number of degrees of freedom : 35 +ChiSquare statistic : 43.56 +p-value of test : 0.15 + + +----------------------------------------------- +Test on the values of the Statistic J + +Number of degrees of freedom : 25 +ChiSquare statistic : 33.11 +p-value of test : 0.13 + + +----------------------------------------------- +Test on the values of the Statistic R + +Number of degrees of freedom : 24 +ChiSquare statistic : 36.15 +p-value of test : 0.05 + + +----------------------------------------------- +Test on the values of the Statistic C + +Number of degrees of freedom : 17 +ChiSquare statistic : 9.63 +p-value of test : 0.92 + + +----------------------------------------------- +CPU time used : 00:00:50.62 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +swalk_RandomWalk1 test: +----------------------------------------------- + N = 1, n = 10000000, r = 0, s = 10, L0 = 1000, L1 = 1000 + + + +----------------------------------------------- +Test on the values of the Statistic H + +Number of degrees of freedom : 146 +ChiSquare statistic : 115.15 +p-value of test : 0.97 + + +----------------------------------------------- +Test on the values of the Statistic M + +Number of degrees of freedom : 146 +ChiSquare statistic : 127.96 +p-value of test : 0.86 + + +----------------------------------------------- +Test on the values of the Statistic J + +Number of degrees of freedom : 500 +ChiSquare statistic : 512.87 +p-value of test : 0.34 + + +----------------------------------------------- +Test on the values of the Statistic R + +Number of degrees of freedom : 136 +ChiSquare statistic : 116.63 +p-value of test : 0.88 + + +----------------------------------------------- +Test on the values of the Statistic C + +Number of degrees of freedom : 74 +ChiSquare statistic : 57.59 +p-value of test : 0.92 + + +----------------------------------------------- +CPU time used : 00:01:00.47 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +swalk_RandomWalk1 test: +----------------------------------------------- + N = 1, n = 10000000, r = 20, s = 10, L0 = 1000, L1 = 1000 + + + +----------------------------------------------- +Test on the values of the Statistic H + +Number of degrees of freedom : 146 +ChiSquare statistic : 159.05 +p-value of test : 0.22 + + +----------------------------------------------- +Test on the values of the Statistic M + +Number of degrees of freedom : 146 +ChiSquare statistic : 135.08 +p-value of test : 0.73 + + +----------------------------------------------- +Test on the values of the Statistic J + +Number of degrees of freedom : 500 +ChiSquare statistic : 500.42 +p-value of test : 0.49 + + +----------------------------------------------- +Test on the values of the Statistic R + +Number of degrees of freedom : 136 +ChiSquare statistic : 121.42 +p-value of test : 0.81 + + +----------------------------------------------- +Test on the values of the Statistic C + +Number of degrees of freedom : 74 +ChiSquare statistic : 72.44 +p-value of test : 0.53 + + +----------------------------------------------- +CPU time used : 00:01:00.12 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +swalk_RandomWalk1 test: +----------------------------------------------- + N = 1, n = 1000000, r = 0, s = 15, L0 = 10000, L1 = 10000 + + + +----------------------------------------------- +Test on the values of the Statistic H + +Number of degrees of freedom : 384 +ChiSquare statistic : 359.13 +p-value of test : 0.81 + + +----------------------------------------------- +Test on the values of the Statistic M + +Number of degrees of freedom : 384 +ChiSquare statistic : 369.42 +p-value of test : 0.69 + + +----------------------------------------------- +Test on the values of the Statistic J + +Number of degrees of freedom : 5000 +ChiSquare statistic : 5006.15 +p-value of test : 0.47 + + +----------------------------------------------- +Test on the values of the Statistic R + +Number of degrees of freedom : 378 +ChiSquare statistic : 389.03 +p-value of test : 0.34 + + +----------------------------------------------- +Test on the values of the Statistic C + +Number of degrees of freedom : 200 +ChiSquare statistic : 185.96 +p-value of test : 0.75 + + +----------------------------------------------- +CPU time used : 00:00:48.56 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +swalk_RandomWalk1 test: +----------------------------------------------- + N = 1, n = 1000000, r = 15, s = 15, L0 = 10000, L1 = 10000 + + + +----------------------------------------------- +Test on the values of the Statistic H + +Number of degrees of freedom : 384 +ChiSquare statistic : 382.08 +p-value of test : 0.52 + + +----------------------------------------------- +Test on the values of the Statistic M + +Number of degrees of freedom : 384 +ChiSquare statistic : 380.27 +p-value of test : 0.54 + + +----------------------------------------------- +Test on the values of the Statistic J + +Number of degrees of freedom : 5000 +ChiSquare statistic : 5041.99 +p-value of test : 0.34 + + +----------------------------------------------- +Test on the values of the Statistic R + +Number of degrees of freedom : 378 +ChiSquare statistic : 423.64 +p-value of test : 0.05 + + +----------------------------------------------- +Test on the values of the Statistic C + +Number of degrees of freedom : 200 +ChiSquare statistic : 230.31 +p-value of test : 0.07 + + +----------------------------------------------- +CPU time used : 00:00:49.70 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +scomp_LinearComp test: +----------------------------------------------- + N = 1, n = 400020, r = 0, s = 1 + + + +----------------------------------------------- +Number of degrees of freedom : 12 +Chi2 statistic for size of jumps : 10.09 +p-value of test : 0.61 + + +----------------------------------------------- +Normal statistic for number of jumps : -1.81 +p-value of test : 0.96 + + + +----------------------------------------------- +CPU time used : 00:02:22.71 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +scomp_LinearComp test: +----------------------------------------------- + N = 1, n = 400020, r = 29, s = 1 + + + +----------------------------------------------- +Number of degrees of freedom : 12 +Chi2 statistic for size of jumps : 7.87 +p-value of test : 0.80 + + +----------------------------------------------- +Normal statistic for number of jumps : -1.16 +p-value of test : 0.88 + + + +----------------------------------------------- +CPU time used : 00:02:23.05 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +scomp_LempelZiv test: +----------------------------------------------- + N = 10, n = 134217728, r = 0, s = 30, k = 27 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.17 +p-value of test : 0.51 + +Kolmogorov-Smirnov- statistic = D- : 0.24 +p-value of test : 0.27 + +Anderson-Darling statistic = A2 : 0.69 +p-value of test : 0.56 + +Tests on the sum of all N observations +Standardized normal statistic : 0.42 +p-value of test : 0.34 + +Sample variance : 0.61 +p-value of test : 0.79 + +----------------------------------------------- +CPU time used : 00:01:02.12 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +scomp_LempelZiv test: +----------------------------------------------- + N = 10, n = 134217728, r = 15, s = 15, k = 27 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.12 +p-value of test : 0.70 + +Kolmogorov-Smirnov- statistic = D- : 0.17 +p-value of test : 0.52 + +Anderson-Darling statistic = A2 : 0.28 +p-value of test : 0.96 + +Tests on the sum of all N observations +Standardized normal statistic : 0.20 +p-value of test : 0.42 + +Sample variance : 0.95 +p-value of test : 0.48 + +----------------------------------------------- +CPU time used : 00:01:01.21 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sspectral_Fourier3 test: +----------------------------------------------- + N = 100000, n = 16384, r = 0, s = 3, k = 14 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 9.91e-3 +p-value of test : 0.44 + +Kolmogorov-Smirnov- statistic = D- : 6.37e-3 +p-value of test : 0.71 + +Anderson-Darling statistic = A2 : 0.44 +p-value of test : 0.81 + +----------------------------------------------- +CPU time used : 00:00:47.07 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sspectral_Fourier3 test: +----------------------------------------------- + N = 100000, n = 16384, r = 27, s = 3, k = 14 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.011 +p-value of test : 0.39 + +Kolmogorov-Smirnov- statistic = D- : 2.46e-3 +p-value of test : 0.95 + +Anderson-Darling statistic = A2 : 0.73 +p-value of test : 0.54 + +----------------------------------------------- +CPU time used : 00:00:46.52 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sstring_LongestHeadRun test: +----------------------------------------------- + N = 1, n = 1000, r = 0, s = 3, L = 10000020 + + +----------------------------------------------- +Number of degrees of freedom : 8 +Chi-square statistic : 0.78 +p-value of test : 0.9993 ***** + +----------------------------------------------- +Global longest run of 1 : 33.00 +p-value of test : 0.44 + + + +----------------------------------------------- +CPU time used : 00:01:43.11 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sstring_LongestHeadRun test: +----------------------------------------------- + N = 1, n = 1000, r = 27, s = 3, L = 10000020 + + +----------------------------------------------- +Number of degrees of freedom : 8 +Chi-square statistic : 11.85 +p-value of test : 0.16 + +----------------------------------------------- +Global longest run of 1 : 34.00 +p-value of test : 0.25 + + + +----------------------------------------------- +CPU time used : 00:01:44.39 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sstring_PeriodsInStrings test: +----------------------------------------------- + N = 10, n = 500000000, r = 0, s = 10 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.30 +p-value of test : 0.13 + +Kolmogorov-Smirnov- statistic = D- : 0.11 +p-value of test : 0.75 + +Anderson-Darling statistic = A2 : 1.18 +p-value of test : 0.27 + +Test on the sum of all N observations +Number of degrees of freedom : 200 +Chi-square statistic : 175.15 +p-value of test : 0.90 + +----------------------------------------------- +CPU time used : 00:02:51.15 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sstring_PeriodsInStrings test: +----------------------------------------------- + N = 10, n = 500000000, r = 20, s = 10 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.26 +p-value of test : 0.21 + +Kolmogorov-Smirnov- statistic = D- : 0.059 +p-value of test : 0.90 + +Anderson-Darling statistic = A2 : 1.21 +p-value of test : 0.26 + +Test on the sum of all N observations +Number of degrees of freedom : 200 +Chi-square statistic : 172.28 +p-value of test : 0.92 + +----------------------------------------------- +CPU time used : 00:02:52.37 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sstring_HammingWeight2 test: +----------------------------------------------- + N = 10, n = 1000000000, r = 0, s = 3, L = 1000000 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.16 +p-value of test : 0.56 + +Kolmogorov-Smirnov- statistic = D- : 0.50 +p-value of test : 3.7e-3 + +Anderson-Darling statistic = A2 : 2.43 +p-value of test : 0.06 + +Test on the sum of all N observations +Number of degrees of freedom : 10000 +Chi-square statistic :10154.73 +p-value of test : 0.14 + +----------------------------------------------- +CPU time used : 00:01:06.53 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sstring_HammingWeight2 test: +----------------------------------------------- + N = 10, n = 1000000000, r = 27, s = 3, L = 1000000 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.20 +p-value of test : 0.40 + +Kolmogorov-Smirnov- statistic = D- : 0.12 +p-value of test : 0.71 + +Anderson-Darling statistic = A2 : 0.31 +p-value of test : 0.93 + +Test on the sum of all N observations +Number of degrees of freedom : 10000 +Chi-square statistic : 9967.06 +p-value of test : 0.59 + +----------------------------------------------- +CPU time used : 00:01:08.56 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sstring_HammingCorr test: +----------------------------------------------- + N = 1, n = 1000000000, r = 10, s = 10, L = 30 + + + +----------------------------------------------- +Normal statistic : -0.74 +p-value of test : 0.77 + +----------------------------------------------- +CPU time used : 00:01:23.00 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sstring_HammingCorr test: +----------------------------------------------- + N = 1, n = 100000000, r = 10, s = 10, L = 300 + + + +----------------------------------------------- +Normal statistic : -2.80e-3 +p-value of test : 0.50 + +----------------------------------------------- +CPU time used : 00:01:19.15 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sstring_HammingCorr test: +----------------------------------------------- + N = 1, n = 100000000, r = 10, s = 10, L = 1200 + + + +----------------------------------------------- +Normal statistic : -0.26 +p-value of test : 0.60 + +----------------------------------------------- +CPU time used : 00:05:12.64 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sstring_HammingIndep test: +----------------------------------------------- + N = 10, n = 30000000, r = 0, s = 3, L = 30, d = 0 + + + +Counters with expected numbers >= 10 +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.30 +p-value of test : 0.14 + +Kolmogorov-Smirnov- statistic = D- : 0.15 +p-value of test : 0.60 + +Anderson-Darling statistic = A2 : 1.40 +p-value of test : 0.20 + +Test on the sum of all N observations +Number of degrees of freedom : 4890 +Chi-square statistic : 4765.56 +p-value of test : 0.90 + +----------------------------------------------- +CPU time used : 00:02:09.98 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sstring_HammingIndep test: +----------------------------------------------- + N = 10, n = 30000000, r = 27, s = 3, L = 30, d = 0 + + + +Counters with expected numbers >= 10 +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.30 +p-value of test : 0.13 + +Kolmogorov-Smirnov- statistic = D- : 0.11 +p-v