Author: celestin
Date: Sat Dec 1 10:32:30 2012
New Revision: 1415971
URL: http://svn.apache.org/viewvc?rev=1415971&view=rev
Log:
In the users guide, updated the accuracy of logBeta.
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=1415971&r1=1415970&r2=1415971&view=diff
==============================================================================
--- commons/proper/math/trunk/src/site/apt/userguide/special.apt (original)
+++ commons/proper/math/trunk/src/site/apt/userguide/special.apt Sat Dec 1
10:32:30 2012
@@ -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}})
-
