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New values of the accuracy of Beta.logBeta(double, double). 

git-svn-id: https://svn.apache.org/repos/asf/commons/proper/math/trunk@1409108 13f79535-47bb-0310-9956-ffa450edef68
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Sebastien Brisard 2012-11-14 07:42:39 +00:00
parent 3c8ba5e630
commit 245fbc7d13
1 changed files with 21 additions and 12 deletions
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21
src/site/apt/userguide/special.apt
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@ -109,18 +109,27 @@
implementation is assessed by comparaison with high precision values computed
with the {{{http://maxima.sourceforge.net/}Maxima}} Computer Algebra System.
*----------------+----------------------------------------+-----------------+----------------------+----------------+
*----------------+-----------------------------------------+-----------------+----------------------+----------------+
|| Interval || Values tested || Average error || Standard deviation || Maximum error |
*----------------+----------------------------------------+-----------------+----------------------+-----------------+
*----------------+-----------------------------------------+-----------------+----------------------+-----------------+
| 0 \< x ≤ 8\ | <<<x[i] = i / 32, i = 1, ..., 256>>>\ | 5.04 ulps | 270.99 ulps | 46696.0 ulps |
| 0 \< y ≤ 8 | <<<y[j] = j / 32, j = 1, ..., 256>>> | | | |
*----------------+----------------------------------------+-----------------+----------------------+-----------------+
*----------------+-----------------------------------------+-----------------+----------------------+-----------------+
| 0 \< x ≤ 8\ | <<<x[i] = i / 32, i = 1, ..., 256>>>\ | 9.75 ulps | 149.42 ulps | 19126.0 ulps |
| 8 \< y ≤ 16 | <<<y[j] = j / 32, j = 257, ..., 512>>> | | | |
*----------------+----------------------------------------+-----------------+----------------------+-----------------+
*----------------+-----------------------------------------+-----------------+----------------------+-----------------+
| 0 \< x ≤ 8\ | <<<x[i] = i / 32, i = 1, ..., 256>>>\ | 357.82 ulps | 39297.58 ulps | 8635522.0 ulps |
| 17 \< y ≤ 256 | <<<y[j] = j, j = 17, ..., 256>>> | | | |
*----------------+----------------------------------------+-----------------+----------------------+-----------------+
| 16 \< y ≤ 256 | <<<y[j] = j, j = 17, ..., 256>>> | | | |
*----------------+-----------------------------------------+-----------------+----------------------+-----------------+
| 8 \< x ≤ 16\ | <<<x[i] = i / 32, i = 257, ..., 512>>>\ | 2.37 ulps | 13.0 ulps | 1.9 ulps |
| 8 \< y ≤ 16 | <<<y[j] = j / 32, j = 257, ..., 512>>> | | | |
*----------------+-----------------------------------------+-----------------+----------------------+-----------------+
| 8 \< x ≤ 16\ | <<<x[i] = i / 32, i = 257, ..., 512>>>\ | 10.75 ulps | 9.74 ulps | 73.0 ulps |
| 16 \< y ≤ 256 | <<<y[j] = j, j = 17, ..., 256>>> | | | |
*----------------+-----------------------------------------+-----------------+----------------------+-----------------+
| 16 \< x ≤ 256\ | <<<x[i] = i, i = 17, ..., 256>>>\ | 5.20 ulps | 4.33 ulps | 53.0 ulps |
| 16 \< y ≤ 256 | <<<y[j] = j, j = 17, ..., 256>>> | | | |
*----------------+-----------------------------------------+-----------------+----------------------+-----------------+
** Regularized Beta