In the users guide, updated the accuracy of logBeta.

git-svn-id: https://svn.apache.org/repos/asf/commons/proper/math/trunk@1415971 13f79535-47bb-0310-9956-ffa450edef68
This commit is contained in:
Sebastien Brisard 2012-12-01 10:32:30 +00:00
parent de04366617
commit efe3c99df1
1 changed files with 6 additions and 7 deletions

View File

@ -112,26 +112,25 @@
*----------------+-----------------------------------------+-----------------+----------------------+----------------+
|| 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 \< x ≤ 8\ | <<<x[i] = i / 32, i = 1, ..., 256>>>\ | 1.80 ulps | 81.08 ulps | 14031.0 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 |
| 0 \< x ≤ 8\ | <<<x[i] = i / 32, i = 1, ..., 256>>>\ | 0.50 ulps | 3.64 ulps | 694.0 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 |
| 0 \< x ≤ 8\ | <<<x[i] = i / 32, i = 1, ..., 256>>>\ | 1.04 ulps | 139.32 ulps | 34509.0 ulps |
| 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 \< x ≤ 16\ | <<<x[i] = i / 32, i = 257, ..., 512>>>\ | 0.35 ulps | 0.48 ulps | 2.0 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 |
| 8 \< x ≤ 16\ | <<<x[i] = i / 32, i = 257, ..., 512>>>\ | 0.31 ulps | 0.47 ulps | 2.0 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 \< x ≤ 256\ | <<<x[i] = i, i = 17, ..., 256>>>\ | 0.35 ulps | 0.49 ulps | 2.0 ulps |
| 16 \< y ≤ 256 | <<<y[j] = j, j = 17, ..., 256>>> | | | |
*----------------+-----------------------------------------+-----------------+----------------------+-----------------+
** Regularized Beta
(see {{{http://mathworld.wolfram.com/RegularizedBetaFunction.html}MathWorld}})