Author: celestin
Date: Wed Nov 14 07:42:39 2012
New Revision: 1409108
URL: http://svn.apache.org/viewvc?rev=1409108&view=rev
Log:
New values of the accuracy of Beta.logBeta(double, double).
Modified:
commons/proper/math/trunk/src/site/apt/userguide/special.apt
Modified: commons/proper/math/trunk/src/site/apt/userguide/special.apt
URL:
http://svn.apache.org/viewvc/commons/proper/math/trunk/src/site/apt/userguide/special.apt?rev=1409108&r1=1409107&r2=1409108&view=diff
==============================================================================
--- commons/proper/math/trunk/src/site/apt/userguide/special.apt (original)
+++ commons/proper/math/trunk/src/site/apt/userguide/special.apt Wed Nov 14
07:42:39 2012
@@ -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>>> |
| | |
-*----------------+----------------------------------------+-----------------+----------------------+-----------------+
+*----------------+-----------------------------------------+-----------------+----------------------+----------------+
+|| 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 |
+| 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
