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 2C6EF18BA2 for ; Fri, 25 Mar 2016 15:19:06 +0000 (UTC) Received: (qmail 96226 invoked by uid 500); 25 Mar 2016 15:18:52 -0000 Delivered-To: apmail-commons-commits-archive@commons.apache.org Received: (qmail 93988 invoked by uid 500); 25 Mar 2016 15:18:50 -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 90720 invoked by uid 99); 25 Mar 2016 15:18:47 -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; Fri, 25 Mar 2016 15:18:47 +0000 Received: by git1-us-west.apache.org (ASF Mail Server at git1-us-west.apache.org, from userid 33) id 36BB7E9811; Fri, 25 Mar 2016 15:18:47 +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: Fri, 25 Mar 2016 15:18:58 -0000 Message-Id: <9a7a3175ffd44de6a78604560d62068e@git.apache.org> In-Reply-To: References: X-Mailer: ASF-Git Admin Mailer Subject: [13/53] [math] MATH-1335. http://git-wip-us.apache.org/repos/asf/commons-math/blob/ce8c82f1/src/site/resources/txt/userguide/rng/stress/tu/run_2/tu_12 ---------------------------------------------------------------------- diff --git a/src/site/resources/txt/userguide/rng/stress/tu/run_2/tu_12 b/src/site/resources/txt/userguide/rng/stress/tu/run_2/tu_12 new file mode 100644 index 0000000..21fd51a --- /dev/null +++ b/src/site/resources/txt/userguide/rng/stress/tu/run_2/tu_12 @@ -0,0 +1,3795 @@ +# +# RNG: org.apache.commons.math4.rng.internal.source64.XorShift1024Star +# +# 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 : 0.86 + + +----------------------------------------------- +CPU time used : 00:02:23.40 + +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 : 0.44 + + +----------------------------------------------- +CPU time used : 00:02:19.68 + +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 : 1412 +p-value of test : 0.10 + +----------------------------- +Total number of cells containing j balls + + j = 0 : 131940795334532 + j = 1 : 599997176 + j = 2 : 1412 + j = 3 : 0 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:06:11.65 + +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 : 1458 +p-value of test : 6.2e-3 + +----------------------------- +Total number of cells containing j balls + + j = 0 : 131940795334578 + j = 1 : 599997084 + j = 2 : 1458 + j = 3 : 0 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:05:46.94 + +Generator state: +N/A + + + +*********************************************************** +Test smarsa_CollisionOver calling smultin_MultinomialOver + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +smultin_MultinomialOver test: +----------------------------------------------- + N = 30, n = 20000000, r = 0, d = 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 : 1342 +p-value of test : 0.72 + +----------------------------- +Total number of cells containing j balls + + j = 0 : 131940795334462 + j = 1 : 599997316 + j = 2 : 1342 + j = 3 : 0 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:06:59.83 + +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 : 1368 +p-value of test : 0.46 + +----------------------------- +Total number of cells containing j balls + + j = 0 : 131940795334488 + j = 1 : 599997264 + j = 2 : 1368 + j = 3 : 0 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:07:08.66 + +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 : 1390 +p-value of test : 0.25 + +----------------------------- +Total number of cells containing j balls + + j = 0 : 131940795334510 + j = 1 : 599997220 + j = 2 : 1390 + j = 3 : 0 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:08:14.78 + +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 : 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 : 00:08:14.53 + +Generator state: +N/A + + + +*********************************************************** +Test smarsa_CollisionOver calling smultin_MultinomialOver + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +smultin_MultinomialOver test: +----------------------------------------------- + N = 30, n = 20000000, r = 0, d = 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 : 1345 +p-value of test : 0.69 + +----------------------------- +Total number of cells containing j balls + + j = 0 : 131940795334465 + j = 1 : 599997310 + j = 2 : 1345 + j = 3 : 0 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:06:24.78 + +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 : 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 : 00:05:58.98 + +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 : 1360 +p-value of test : 0.54 + +----------------------------- +Total number of cells containing j balls + + j = 0 : 131940795334480 + j = 1 : 599997280 + j = 2 : 1360 + j = 3 : 0 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:06:36.61 + +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 : 1312 +p-value of test : 0.92 + +----------------------------- +Total number of cells containing j balls + + j = 0 : 131940795334432 + j = 1 : 599997376 + j = 2 : 1312 + j = 3 : 0 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:07:31.15 + +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 : 5438 +p-value of test : 0.41 + + +----------------------------------------------- +CPU time used : 00:05:13.10 + +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 : 4305 +p-value of test : 0.68 + + +----------------------------------------------- +CPU time used : 00:02:18.52 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +smarsa_BirthdaySpacings test: +----------------------------------------------- + N = 20, n = 30000000, r = 14, d = 65536, t = 4, p = 1 + + + Number of cells = d^t = 18446744073709551616 + Lambda = Poisson mean = 365.9182 + + +---------------------------------------------------- +Total expected number = N*Lambda : 7318.36 +Total observed number : 7182 +p-value of test : 0.94 + + +----------------------------------------------- +CPU time used : 00:03:54.77 + +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 : 4318 +p-value of test : 0.61 + + +----------------------------------------------- +CPU time used : 00:02:51.85 + +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 : 4380 +p-value of test : 0.26 + + +----------------------------------------------- +CPU time used : 00:02:57.21 + +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 : 7218 +p-value of test : 0.88 + + +----------------------------------------------- +CPU time used : 00:04:18.55 + +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 : 7305 +p-value of test : 0.56 + + +----------------------------------------------- +CPU time used : 00:04:10.85 + +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 : 7208 +p-value of test : 0.90 + + +----------------------------------------------- +CPU time used : 00:05:14.42 + +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 : 7303 +p-value of test : 0.57 + + +----------------------------------------------- +CPU time used : 00:05:47.44 + +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) : 1.63 +p-value of test : 0.15 + + +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) : 1.24 +p-value of test : 0.25 + +Test on the Nm values of W_{n,i}(mNP1): 0.57 +p-value of test : 0.68 + +Test on the jump times of Y + (superposition of Yn): + +Expected number of jumps of Y = mN : 900 +Number of jumps of Y : 876 +p-value of test : 0.78 + +Stat. AD (mNP2) : 1.28 +p-value of test : 0.24 + +Stat. AD after spacings (mNP2-S) : 1.03 +p-value of test : 0.34 + +----------------------------------------------- +CPU time used : 00:03:18.23 + +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) : 0.24 +p-value of test : 0.97 + + +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) : 0.21 +p-value of test : 0.99 + +Test on the Nm values of W_{n,i}(mNP1): 0.25 +p-value of test : 0.97 + +Test on the jump times of Y + (superposition of Yn): + +Expected number of jumps of Y = mN : 600 +Number of jumps of Y : 609 +p-value of test : 0.36 + +Stat. AD (mNP2) : 0.46 +p-value of test : 0.79 + +Stat. AD after spacings (mNP2-S) : 0.83 +p-value of test : 0.46 + +----------------------------------------------- +CPU time used : 00:02:09.97 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +snpair_ClosePairs test: +----------------------------------------------- + N = 10, n = 3000000, r = 0, t = 9, p = 0, m = 30, Torus = TRUE + + +--------------------------------------- +Test based on the 2 nearest points (NP): + +Stat. AD on the N values (NP) : 0.61 +p-value of test : 0.63 + + +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) : 1.59 +p-value of test : 0.16 + +Test on the Nm values of W_{n,i}(mNP1): 0.29 +p-value of test : 0.95 + +Test on the jump times of Y + (superposition of Yn): + +Expected number of jumps of Y = mN : 300 +Number of jumps of Y : 308 +p-value of test : 0.33 + +Stat. AD (mNP2) : 1.30 +p-value of test : 0.23 + +Stat. AD after spacings (mNP2-S) : 0.60 +p-value of test : 0.65 + +----------------------------------------------- +CPU time used : 00:03:10.02 + +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) : 0.37 +p-value of test : 0.87 + + +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) : 1.12 +p-value of test : 0.30 + +Test on the Nm values of W_{n,i}(mNP1): 0.58 +p-value of test : 0.67 + +Test on the jump times of Y + (superposition of Yn): + +Expected number of jumps of Y = mN : 150 +Number of jumps of Y : 152 +p-value of test : 0.45 + +Stat. AD (mNP2) : 0.90 +p-value of test : 0.41 + +Stat. AD after spacings (mNP2-S) : 1.00 +p-value of test : 0.35 + +----------------------------------------------- +CPU time used : 00:03:21.10 + +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 : 6.21 +p-value of test : 0.52 + +----------------------------------------------- +CPU time used : 00:01:20.30 + +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 : 4.19 +p-value of test : 0.76 + +----------------------------------------------- +CPU time used : 00:01:38.77 + +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 : 29.13 +p-value of test : 0.05 + +----------------------------------------------- +CPU time used : 00:01:20.11 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sknuth_SimpPoker test: +----------------------------------------------- + N = 1, n = 100000000, r = 25, d = 32, k = 32 + + +----------------------------------------------- +Number of degrees of freedom : 18 +Chi-square statistic : 21.07 +p-value of test : 0.28 + +----------------------------------------------- +CPU time used : 00:01:38.55 + +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 : 33.58 +p-value of test : 0.99 + +----------------------------------------------- +CPU time used : 00:01:43.53 + +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 : 71.38 +p-value of test : 0.06 + +----------------------------------------------- +CPU time used : 00:02:01.22 + +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 : 62.58 +p-value of test : 0.20 + +----------------------------------------------- +CPU time used : 00:02:02.67 + +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 : 37.08 +p-value of test : 0.96 + +----------------------------------------------- +CPU time used : 00:02:03.35 + +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 : 209.79 +p-value of test : 0.85 + +----------------------------------------------- +CPU time used : 00:02:09.18 + +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 : 456.72 +p-value of test : 0.22 + +----------------------------------------------- +CPU time used : 00:03:10.02 + +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 : 1420.10 +p-value of test : 0.62 + +----------------------------------------------- +CPU time used : 00:03:18.77 + +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 : 7099.60 +p-value of test : 0.32 + +----------------------------------------------- +CPU time used : 00:03:13.87 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sknuth_Run test: +----------------------------------------------- + N = 5, n = 1000000000, r = 0, Up = FALSE + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.43 +p-value of test : 0.12 + +Kolmogorov-Smirnov- statistic = D- : 0.15 +p-value of test : 0.75 + +Anderson-Darling statistic = A2 : 0.91 +p-value of test : 0.40 + +Test on the sum of all N observations +Number of degrees of freedom : 30 +Chi-square statistic : 22.24 +p-value of test : 0.85 + +----------------------------------------------- +CPU time used : 00:01:48.27 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sknuth_Run test: +----------------------------------------------- + N = 10, n = 1000000000, r = 15, Up = TRUE + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.21 +p-value of test : 0.35 + +Kolmogorov-Smirnov- statistic = D- : 0.18 +p-value of test : 0.46 + +Anderson-Darling statistic = A2 : 0.42 +p-value of test : 0.83 + +Test on the sum of all N observations +Number of degrees of freedom : 60 +Chi-square statistic : 55.29 +p-value of test : 0.65 + +----------------------------------------------- +CPU time used : 00:04:16.06 + +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 : 1.47 +p-value of test : 0.92 + + +----------------------------------------------- +CPU time used : 00:01:19.77 + +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 : 92.40 +p-value of test : 0.97 + + +----------------------------------------------- +CPU time used : 00:02:08.22 + +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 : 4954.71 +p-value of test : 0.80 + + +----------------------------------------------- +CPU time used : 00:01:33.23 + +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 : 0.82 + + +----------------------------------------------- +CPU time used : 00:03:13.57 + +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 : 46106 +p-value of test : 0.15 + + +----------------------------- +Total number of cells containing j balls + + j = 0 : 1743165870106 + j = 1 : 399907792 + j = 2 : 46098 + j = 3 : 4 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:04:40.97 + +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 : 46076 +p-value of test : 0.18 + + +----------------------------- +Total number of cells containing j balls + + j = 0 : 1743165870076 + j = 1 : 399907851 + j = 2 : 46070 + j = 3 : 3 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:04:57.68 + +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+ : 0.047 +p-value of test : 0.81 + +Kolmogorov-Smirnov- statistic = D- : 0.13 +p-value of test : 0.25 + +Anderson-Darling statistic = A2 : 1.00 +p-value of test : 0.36 + +Test on the sum of all N observations +Number of degrees of freedom : 3999960 +Chi-square statistic : 4.00e+6 +p-value of test : 0.13 + + +----------------------------------------------- +Test results for Anderson-Darling: + +Kolmogorov-Smirnov+ statistic = D+ : 0.087 +p-value of test : 0.51 + +Kolmogorov-Smirnov- statistic = D- : 0.076 +p-value of test : 0.60 + +Anderson-Darling statistic = A2 : 0.41 +p-value of test : 0.84 + + +----------------------------------------------- +CPU time used : 00:03:37.45 + +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+ : 0.17 +p-value of test : 0.16 + +Kolmogorov-Smirnov- statistic = D- : 0.046 +p-value of test : 0.85 + +Anderson-Darling statistic = A2 : 1.92 +p-value of test : 0.10 + +Test on the sum of all N observations +Number of degrees of freedom : 2999970 +Chi-square statistic : 3.00e+6 +p-value of test : 0.90 + + +----------------------------------------------- +Test results for Anderson-Darling: + +Kolmogorov-Smirnov+ statistic = D+ : 0.11 +p-value of test : 0.42 + +Kolmogorov-Smirnov- statistic = D- : 0.12 +p-value of test : 0.41 + +Anderson-Darling statistic = A2 : 0.47 +p-value of test : 0.78 + + +----------------------------------------------- +CPU time used : 00:03:19.64 + +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+ : 0.076 +p-value of test : 0.76 + +Kolmogorov-Smirnov- statistic = D- : 0.090 +p-value of test : 0.68 + +Anderson-Darling statistic = A2 : 0.20 +p-value of test : 0.9911 + +Test on the sum of all N observations +Number of degrees of freedom : 1999980 +Chi-square statistic : 2.00e+6 +p-value of test : 0.39 + + +----------------------------------------------- +Test results for Anderson-Darling: + +Kolmogorov-Smirnov+ statistic = D+ : 0.19 +p-value of test : 0.22 + +Kolmogorov-Smirnov- statistic = D- : 0.048 +p-value of test : 0.88 + +Anderson-Darling statistic = A2 : 0.68 +p-value of test : 0.57 + + +----------------------------------------------- +CPU time used : 00:02:37.46 + +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+ : 0.17 +p-value of test : 0.28 + +Kolmogorov-Smirnov- statistic = D- : 0.022 +p-value of test : 0.97 + +Anderson-Darling statistic = A2 : 0.71 +p-value of test : 0.55 + +Test on the sum of all N observations +Number of degrees of freedom : 1999980 +Chi-square statistic : 2.00e+6 +p-value of test : 0.87 + + +----------------------------------------------- +Test results for Anderson-Darling: + +Kolmogorov-Smirnov+ statistic = D+ : 0.21 +p-value of test : 0.15 + +Kolmogorov-Smirnov- statistic = D- : 6.00e-3 +p-value of test : 0.9933 + +Anderson-Darling statistic = A2 : 1.39 +p-value of test : 0.20 + + +----------------------------------------------- +CPU time used : 00:02:50.90 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +svaria_SampleProd test: +----------------------------------------------- + N = 40, n = 10000000, r = 0, t = 8 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.11 +p-value of test : 0.36 + +Kolmogorov-Smirnov- statistic = D- : 0.082 +p-value of test : 0.55 + +Anderson-Darling statistic = A2 : 0.39 +p-value of test : 0.86 + +----------------------------------------------- +CPU time used : 00:02:27.52 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +svaria_SampleProd test: +----------------------------------------------- + N = 20, n = 10000000, r = 0, t = 16 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.13 +p-value of test : 0.46 + +Kolmogorov-Smirnov- statistic = D- : 0.089 +p-value of test : 0.69 + +Anderson-Darling statistic = A2 : 0.82 +p-value of test : 0.46 + +----------------------------------------------- +CPU time used : 00:01:44.00 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +svaria_SampleProd test: +----------------------------------------------- + N = 20, n = 10000000, r = 0, t = 24 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.12 +p-value of test : 0.51 + +Kolmogorov-Smirnov- statistic = D- : 0.056 +p-value of test : 0.85 + +Anderson-Darling statistic = A2 : 0.33 +p-value of test : 0.91 + +----------------------------------------------- +CPU time used : 00:02:16.54 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +svaria_SampleMean test: +----------------------------------------------- + N = 20000000, n = 30, r = 0 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 9.33e-5 +p-value of test : 0.71 + +Kolmogorov-Smirnov- statistic = D- : 1.56e-4 +p-value of test : 0.38 + +Anderson-Darling statistic = A2 : 0.53 +p-value of test : 0.72 + +----------------------------------------------- +CPU time used : 00:00:33.12 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +svaria_SampleMean test: +----------------------------------------------- + N = 20000000, n = 30, r = 10 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 2.10e-4 +p-value of test : 0.17 + +Kolmogorov-Smirnov- statistic = D- : 8.75e-5 +p-value of test : 0.74 + +Anderson-Darling statistic = A2 : 1.42 +p-value of test : 0.20 + +----------------------------------------------- +CPU time used : 00:00:34.40 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +svaria_SampleCorr test: +----------------------------------------------- + N = 1, n = 2000000000, r = 0, k = 1 + + +----------------------------------------------- +Normal statistic : -0.97 +p-value of test : 0.83 + +----------------------------------------------- +CPU time used : 00:00:32.85 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +svaria_SampleCorr test: +----------------------------------------------- + N = 1, n = 2000000000, r = 0, k = 2 + + +----------------------------------------------- +Normal statistic : -0.61 +p-value of test : 0.73 + +----------------------------------------------- +CPU time used : 00:00:33.28 + +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 : 0.058 +p-value of test : 0.48 + +----------------------------------------------- +CPU time used : 00:02:02.30 + +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 : -2.03 +p-value of test : 0.98 + +----------------------------------------------- +CPU time used : 00:02:10.29 + +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 : 53.34 +p-value of test : 0.89 + +----------------------------------------------- +CPU time used : 00:01:27.64 + +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 : 72.55 +p-value of test : 0.30 + +----------------------------------------------- +CPU time used : 00:01:47.19 + +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 : 60.68 +p-value of test : 0.69 + +----------------------------------------------- +CPU time used : 00:01:46.14 + +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 : 41.80 +p-value of test : 0.27 + +----------------------------------------------- +CPU time used : 00:01:26.29 + +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 : 40.63 +p-value of test : 0.31 + +----------------------------------------------- +CPU time used : 00:01:49.32 + +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 : 31.06 +p-value of test : 0.74 + +----------------------------------------------- +CPU time used : 00:01:47.82 + +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 : 15.80 +p-value of test : 0.98 + +----------------------------------------------- +CPU time used : 00:02:50.28 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +smarsa_MatrixRank test: +----------------------------------------------- + N = 10, n = 1000000, r = 0, s = 5, L = 30, k = 30 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.13 +p-value of test : 0.66 + +Kolmogorov-Smirnov- statistic = D- : 0.17 +p-value of test : 0.51 + +Anderson-Darling statistic = A2 : 0.43 +p-value of test : 0.82 + +Test on the sum of all N observations +Number of degrees of freedom : 40 +Chi-square statistic : 44.26 +p-value of test : 0.30 + +----------------------------------------------- +CPU time used : 00:01:23.75 + +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+ : 0.29 +p-value of test : 0.16 + +Kolmogorov-Smirnov- statistic = D- : 0.094 +p-value of test : 0.79 + +Anderson-Darling statistic = A2 : 0.77 +p-value of test : 0.50 + +Test on the sum of all N observations +Number of degrees of freedom : 40 +Chi-square statistic : 35.26 +p-value of test : 0.68 + +----------------------------------------------- +CPU time used : 00:01:22.70 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +smarsa_MatrixRank test: +----------------------------------------------- + N = 1, n = 5000, r = 0, s = 4, L = 1000, k = 1000 + + +----------------------------------------------- +Number of degrees of freedom : 3 +Chi-square statistic : 0.92 +p-value of test : 0.82 + +----------------------------------------------- +CPU time used : 00:02:13.22 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +smarsa_MatrixRank test: +----------------------------------------------- + N = 1, n = 5000, r = 26, s = 4, L = 1000, k = 1000 + + +----------------------------------------------- +Number of degrees of freedom : 3 +Chi-square statistic : 0.44 +p-value of test : 0.93 + +----------------------------------------------- +CPU time used : 00:02:14.30 + +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 : 8.44 +p-value of test : 0.01 + +----------------------------------------------- +CPU time used : 00:01:45.36 + +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 : 0.075 +p-value of test : 0.96 + +----------------------------------------------- +CPU time used : 00:01:17.71 + +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+ : 0.17 +p-value of test : 0.52 + +Kolmogorov-Smirnov- statistic = D- : 0.10 +p-value of test : 0.75 + +Anderson-Darling statistic = A2 : 0.41 +p-value of test : 0.83 + +Test on the sum of all N observations +Number of degrees of freedom : 130 +Chi-square statistic : 121.26 +p-value of test : 0.70 + +----------------------------------------------- +CPU time used : 00:01:02.44 + +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+ : 0.22 +p-value of test : 0.34 + +Kolmogorov-Smirnov- statistic = D- : 0.10 +p-value of test : 0.75 + +Anderson-Darling statistic = A2 : 1.01 +p-value of test : 0.35 + +Test on the sum of all N observations +Number of degrees of freedom : 17430 +Chi-square statistic :17261.57 +p-value of test : 0.82 + + + +----------------------------------------------- +CPU time used : 00:01:53.25 + +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 : 36.31 +p-value of test : 0.45 + + +----------------------------------------------- +Test on the values of the Statistic M + +Number of degrees of freedom : 35 +ChiSquare statistic : 40.17 +p-value of test : 0.25 + + +----------------------------------------------- +Test on the values of the Statistic J + +Number of degrees of freedom : 25 +ChiSquare statistic : 17.01 +p-value of test : 0.88 + + +----------------------------------------------- +Test on the values of the Statistic R + +Number of degrees of freedom : 24 +ChiSquare statistic : 25.86 +p-value of test : 0.36 + + +----------------------------------------------- +Test on the values of the Statistic C + +Number of degrees of freedom : 17 +ChiSquare statistic : 8.85 +p-value of test : 0.94 + + +----------------------------------------------- +CPU time used : 00:00:49.94 + +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 : 40.36 +p-value of test : 0.28 + + +----------------------------------------------- +Test on the values of the Statistic M + +Number of degrees of freedom : 35 +ChiSquare statistic : 32.71 +p-value of test : 0.58 + + +----------------------------------------------- +Test on the values of the Statistic J + +Number of degrees of freedom : 25 +ChiSquare statistic : 30.92 +p-value of test : 0.19 + + +----------------------------------------------- +Test on the values of the Statistic R + +Number of degrees of freedom : 24 +ChiSquare statistic : 30.46 +p-value of test : 0.17 + + +----------------------------------------------- +Test on the values of the Statistic C + +Number of degrees of freedom : 17 +ChiSquare statistic : 20.38 +p-value of test : 0.26 + + +----------------------------------------------- +CPU time used : 00:00:49.67 + +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 : 152.34 +p-value of test : 0.34 + + +----------------------------------------------- +Test on the values of the Statistic M + +Number of degrees of freedom : 146 +ChiSquare statistic : 146.64 +p-value of test : 0.47 + + +----------------------------------------------- +Test on the values of the Statistic J + +Number of degrees of freedom : 500 +ChiSquare statistic : 485.96 +p-value of test : 0.67 + + +----------------------------------------------- +Test on the values of the Statistic R + +Number of degrees of freedom : 136 +ChiSquare statistic : 119.14 +p-value of test : 0.85 + + +----------------------------------------------- +Test on the values of the Statistic C + +Number of degrees of freedom : 74 +ChiSquare statistic : 89.54 +p-value of test : 0.11 + + +----------------------------------------------- +CPU time used : 00:00:57.80 + +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 : 158.32 +p-value of test : 0.23 + + +----------------------------------------------- +Test on the values of the Statistic M + +Number of degrees of freedom : 146 +ChiSquare statistic : 148.11 +p-value of test : 0.44 + + +----------------------------------------------- +Test on the values of the Statistic J + +Number of degrees of freedom : 500 +ChiSquare statistic : 528.27 +p-value of test : 0.18 + + +----------------------------------------------- +Test on the values of the Statistic R + +Number of degrees of freedom : 136 +ChiSquare statistic : 147.90 +p-value of test : 0.23 + + +----------------------------------------------- +Test on the values of the Statistic C + +Number of degrees of freedom : 74 +ChiSquare statistic : 58.15 +p-value of test : 0.91 + + +----------------------------------------------- +CPU time used : 00:01:00.68 + +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 : 385.21 +p-value of test : 0.47 + + +----------------------------------------------- +Test on the values of the Statistic M + +Number of degrees of freedom : 384 +ChiSquare statistic : 414.46 +p-value of test : 0.14 + + +----------------------------------------------- +Test on the values of the Statistic J + +Number of degrees of freedom : 5000 +ChiSquare statistic : 4899.73 +p-value of test : 0.84 + + +----------------------------------------------- +Test on the values of the Statistic R + +Number of degrees of freedom : 378 +ChiSquare statistic : 387.27 +p-value of test : 0.36 + + +----------------------------------------------- +Test on the values of the Statistic C + +Number of degrees of freedom : 200 +ChiSquare statistic : 167.62 +p-value of test : 0.95 + + +----------------------------------------------- +CPU time used : 00:00:50.62 + +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 : 388.74 +p-value of test : 0.42 + + +----------------------------------------------- +Test on the values of the Statistic M + +Number of degrees of freedom : 384 +ChiSquare statistic : 417.69 +p-value of test : 0.11 + + +----------------------------------------------- +Test on the values of the Statistic J + +Number of degrees of freedom : 5000 +ChiSquare statistic : 4995.52 +p-value of test : 0.52 + + +----------------------------------------------- +Test on the values of the Statistic R + +Number of degrees of freedom : 378 +ChiSquare statistic : 346.93 +p-value of test : 0.87 + + +----------------------------------------------- +Test on the values of the Statistic C + +Number of degrees of freedom : 200 +ChiSquare statistic : 252.49 +p-value of test : 7.0e-3 + + +----------------------------------------------- +CPU time used : 00:00:48.98 + +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 : 14.40 +p-value of test : 0.28 + + +----------------------------------------------- +Normal statistic for number of jumps : -0.82 +p-value of test : 0.80 + + + +----------------------------------------------- +CPU time used : 00:02:22.64 + +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 : 10.34 +p-value of test : 0.59 + + +----------------------------------------------- +Normal statistic for number of jumps : -0.48 +p-value of test : 0.68 + + + +----------------------------------------------- +CPU time used : 00:02:23.01 + +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+ : 0.30 +p-value of test : 0.14 + +Kolmogorov-Smirnov- statistic = D- : 0.11 +p-value of test : 0.72 + +Anderson-Darling statistic = A2 : 1.05 +p-value of test : 0.33 + +Tests on the sum of all N observations +Standardized normal statistic : -0.62 +p-value of test : 0.73 + +Sample variance : 1.75 +p-value of test : 0.07 + +----------------------------------------------- +CPU time used : 00:00:56.22 + +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+ : 0.29 +p-value of test : 0.16 + +Kolmogorov-Smirnov- statistic = D- : 0.13 +p-value of test : 0.64 + +Anderson-Darling statistic = A2 : 1.33 +p-value of test : 0.22 + +Tests on the sum of all N observations +Standardized normal statistic : -0.82 +p-value of test : 0.79 + +Sample variance : 1.82 +p-value of test : 0.06 + +----------------------------------------------- +CPU time used : 00:00:57.92 + +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+ : 9.55e-3 +p-value of test : 0.47 + +Kolmogorov-Smirnov- statistic = D- : 0.014 +p-value of test : 0.19 + +Anderson-Darling statistic = A2 : 1.27 +p-value of test : 0.24 + +----------------------------------------------- +CPU time used : 00:00:47.96 + +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+ : 0.018 +p-value of test : 0.07 + +Kolmogorov-Smirnov- statistic = D- : 5.28e-3 +p-value of test : 0.79 + +Anderson-Darling statistic = A2 : 1.31 +p-value of test : 0.23 + +----------------------------------------------- +CPU time used : 00:00:46.95 + +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 : 3.99 +p-value of test : 0.86 + +----------------------------------------------- +Global longest run of 1 : 34.00 +p-value of test : 0.25 + + + +----------------------------------------------- +CPU time used : 00:01:43.15 + +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 : 11.72 +p-value of test : 0.16 + +----------------------------------------------- +Global longest run of 1 : 32.00 +p-value of test : 0.50 + + + +----------------------------------------------- +CPU time used : 00:01:50.20 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sstring_PeriodsInStrings test: +----------------------------------------------- + N = 10, n = 500000000, r = 0, s = 10 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.14 +p-value of test : 0.64 + +Kolmogorov-Smirnov- statistic = D- : 0.21 +p-value of test : 0.35 + +Anderson-Darling statistic = A2 : 0.53 +p-value of test : 0.71 + +Test on the sum of all N observations +Number of degrees of freedom : 200 +Chi-square statistic : 203.54 +p-value of test : 0.42 + +----------------------------------------------- +CPU time used : 00:03:02.27 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sstring_PeriodsInStrings test: +----------------------------------------------- + N = 10, n = 500000000, r = 20, s = 10 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.22 +p-value of test : 0.34 + +Kolmogorov-Smirnov- statistic = D- : 0.28 +p-value of test : 0.18 + +Anderson-Darling statistic = A2 : 0.84 +p-value of test : 0.45 + +Test on the sum of all N observations +Number of degrees of freedom : 200 +Chi-square statistic : 205.45 +p-value of test : 0.38 + +----------------------------------------------- +CPU time used : 00:03:04.62 + +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+ : 0.14 +p-value of test : 0.63 + +Kolmogorov-Smirnov- statistic = D- : 0.27 +p-value of test : 0.19 + +Anderson-Darling statistic = A2 : 0.64 +p-value of test : 0.60 + +Test on the sum of all N observations +Number of degrees of freedom : 10000 +Chi-square statistic : 9987.48 +p-value of test : 0.53 + +----------------------------------------------- +CPU time used : 00:01:09.18 + +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+ : 0.26 +p-value of test : 0.23 + +Kolmogorov-Smirnov- statistic = D- : 0.21 +p-value of test : 0.38 + +Anderson-Darling statistic = A2 : 0.83 +p-value of test : 0.46 + +Test on the sum of all N observations +Number of degrees of freedom : 10000 +Chi-square statistic : 9948.67 +p-value of test : 0.64 + +----------------------------------------------- +CPU time used : 00:01:12.25 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sstring_HammingCorr test: +----------------------------------------------- + N = 1, n = 1000000000, r = 10, s = 10, L = 30 + + + +----------------------------------------------- +Normal statistic : -0.24 +p-value of test : 0.60 + +----------------------------------------------- +CPU time used : 00:01:24.43 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sstring_HammingCorr test: +----------------------------------------------- + N = 1, n = 100000000, r = 10, s = 10, L = 300 + + + +----------------------------------------------- +Normal statistic : -0.61 +p-value of test : 0.73 + +----------------------------------------------- +CPU time used : 00:01:19.27 + +Generator state: +N/A + + + +*********************************************************** +HOST = gaianss, Linux + +stdin + + +sstring_HammingCorr test: +----------------------------------------------- + N = 1, n = 100000000, r = 10, s = 10, L = 1200 + + + +----------------------------------------------- +Normal statistic : -0.49 +p-value of test : 0.69 + +----------------------------------------------- +CPU time used : 00:05:22.95 + +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+ : 0.33 +p-value of test : 0.10 + +Kolmogorov-Smirnov- statistic = D- : 0.053 +p-value of test : 0.92 + +Anderson-Darling statistic = A2 : 1.02 +p-value of test : 0.34 + +Test on the sum of all N observations +Number of degrees of freedom : 4890 +Chi-square statistic : 4781.51 +p-value of test : 0.86 + +----------------------------------------------- +CPU time used : 00:02:16.55 + +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+ : 0.19 +p-value of test : 0.42 + +Kolmogorov-Smirnov- statistic = D- : 0.089 +p