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Boost-Commit : |
Subject: [Boost-commit] svn:boost r78137 - in trunk/libs/math/doc/sf_and_dist: . html html/index html/math_toolkit/constants html/math_toolkit/main_overview html/math_toolkit/status
From: john_at_[hidden]
Date: 2012-04-22 12:10:57
Author: johnmaddock
Date: 2012-04-22 12:10:55 EDT (Sun, 22 Apr 2012)
New Revision: 78137
URL: http://svn.boost.org/trac/boost/changeset/78137
Log:
Update Owen's T docs, and TODO notes.
Regenerate docs.
Text files modified:
trunk/libs/math/doc/sf_and_dist/html/index.html | 2
trunk/libs/math/doc/sf_and_dist/html/index/s13.html | 28 ++++++++++++++++++++--
trunk/libs/math/doc/sf_and_dist/html/index/s14.html | 9 ++++--
trunk/libs/math/doc/sf_and_dist/html/index/s15.html | 4 +-
trunk/libs/math/doc/sf_and_dist/html/index/s16.html | 4 +-
trunk/libs/math/doc/sf_and_dist/html/index/s17.html | 48 ++++++++++++++++++++++++++++++++++----
trunk/libs/math/doc/sf_and_dist/html/math_toolkit/constants/constants.html | 4 +-
trunk/libs/math/doc/sf_and_dist/html/math_toolkit/main_overview/history1.html | 3 +
trunk/libs/math/doc/sf_and_dist/html/math_toolkit/main_overview/navigation.html | 2
trunk/libs/math/doc/sf_and_dist/html/math_toolkit/status/history1.html | 3 +
trunk/libs/math/doc/sf_and_dist/html/math_toolkit/status/issues.html | 20 ++++++++++++++-
trunk/libs/math/doc/sf_and_dist/issues.qbk | 9 +++++++
trunk/libs/math/doc/sf_and_dist/owens_t.qbk | 50 ++++++++++++++++++++++-----------------
13 files changed, 141 insertions(+), 45 deletions(-)
Modified: trunk/libs/math/doc/sf_and_dist/html/index.html
==============================================================================
--- trunk/libs/math/doc/sf_and_dist/html/index.html (original)
+++ trunk/libs/math/doc/sf_and_dist/html/index.html 2012-04-22 12:10:55 EDT (Sun, 22 Apr 2012)
@@ -534,7 +534,7 @@
</p>
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
-<td align="left"><p><small>Last revised: April 17, 2012 at 17:46:15 GMT</small></p></td>
+<td align="left"><p><small>Last revised: April 22, 2012 at 16:05:48 GMT</small></p></td>
<td align="right"><div class="copyright-footer"></div></td>
</tr></table>
<hr>
Modified: trunk/libs/math/doc/sf_and_dist/html/index/s13.html
==============================================================================
--- trunk/libs/math/doc/sf_and_dist/html/index/s13.html (original)
+++ trunk/libs/math/doc/sf_and_dist/html/index/s13.html 2012-04-22 12:10:55 EDT (Sun, 22 Apr 2012)
@@ -22,10 +22,10 @@
<div class="spirit-nav">
<a accesskey="p" href="../math_toolkit/status/credits.html"><img src="../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../index.html"><img src="../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../index.html"><img src="../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="s14.html"><img src="../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
-<div class="section id1455118">
+<div class="section id1299659">
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
-<a name="id1455118"></a>Function Index</h2></div></div></div>
-<p><a class="link" href="s13.html#idx_id_0">A</a> <a class="link" href="s13.html#idx_id_1">B</a> <a class="link" href="s13.html#idx_id_2">C</a> <a class="link" href="s13.html#idx_id_3">D</a> <a class="link" href="s13.html#idx_id_4">E</a> <a class="link" href="s13.html#idx_id_5">F</a> <a class="link" href="s13.html#idx_id_6">G</a> <a class="link" href="s13.html#idx_id_7">H</a> <a class="link" href="s13.html#idx_id_8">I</a> <a class="link" href="s13.html#idx_id_9">K</a> <a class="link" href="s13.html#idx_id_10">L</a> <a class="link" href="s13.html#idx_id_11">M</a> <a class="link" href="s13.html#idx_id_12">N</a> <a class="link" href="s13.html#idx_id_14">P</a> <a class="link" href="s13.html#idx_id_15">Q</a> <a class="link" href="s13.html#idx_id_16">R</a> <a class="link" href="s13.html#idx_id_17">S</a> <a class="link" href="s13.html#idx_id_18">T</a> <a class="link" href="s13.html#idx_id_19">U</a> <a class="link" href="s13.html#idx_id_20">V</a> <a class="link" href="s13.html#idx_id_21">W</a> <a class="link" href=
"s13.html#idx_id_22">Z</a></p>
+<a name="id1299659"></a>Function Index</h2></div></div></div>
+<p><a class="link" href="s13.html#idx_id_0">A</a> <a class="link" href="s13.html#idx_id_1">B</a> <a class="link" href="s13.html#idx_id_2">C</a> <a class="link" href="s13.html#idx_id_3">D</a> <a class="link" href="s13.html#idx_id_4">E</a> <a class="link" href="s13.html#idx_id_5">F</a> <a class="link" href="s13.html#idx_id_6">G</a> <a class="link" href="s13.html#idx_id_7">H</a> <a class="link" href="s13.html#idx_id_8">I</a> <a class="link" href="s13.html#idx_id_9">K</a> <a class="link" href="s13.html#idx_id_10">L</a> <a class="link" href="s13.html#idx_id_11">M</a> <a class="link" href="s13.html#idx_id_12">N</a> <a class="link" href="s13.html#idx_id_13">O</a> <a class="link" href="s13.html#idx_id_14">P</a> <a class="link" href="s13.html#idx_id_15">Q</a> <a class="link" href="s13.html#idx_id_16">R</a> <a class="link" href="s13.html#idx_id_17">S</a> <a class="link" href="s13.html#idx_id_18">T</a> <a class="link" href="s13.html#idx_id_19">U</a> <a class="link" href="s13.html#idx_id_20">V</a> <a class="link" href=
"s13.html#idx_id_21">W</a> <a class="link" href="s13.html#idx_id_22">Z</a></p>
<div class="variablelist"><dl>
<dt>
<a name="idx_id_0"></a><span class="term">A</span>
@@ -1380,6 +1380,20 @@
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/utils/rounding/trunc.html" title="Truncation Functions"><span class="index-entry-level-1">Truncation Functions</span></a></p></li></ul></div>
</li>
<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">location</span></p>
+<div class="index"><ul class="index" type="none" compact>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/cauchy_dist.html" title="Cauchy-Lorentz Distribution"><span class="index-entry-level-1">Cauchy-Lorentz Distribution</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/extreme_dist.html" title="Extreme Value Distribution"><span class="index-entry-level-1">Extreme Value Distribution</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/stat_tut/weg/find_eg/find_location_eg.html" title="Find Location (Mean) Example"><span class="index-entry-level-1">Find Location (Mean) Example</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/stat_tut/weg/find_eg/find_scale_eg.html" title="Find Scale (Standard Deviation) Example"><span class="index-entry-level-1">Find Scale (Standard Deviation) Example</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/laplace_dist.html" title="Laplace Distribution"><span class="index-entry-level-1">Laplace Distribution</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/lognormal_dist.html" title="Log Normal Distribution"><span class="index-entry-level-1">Log Normal Distribution</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/logistic_dist.html" title="Logistic Distribution"><span class="index-entry-level-1">Logistic Distribution</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/normal_dist.html" title="Normal (Gaussian) Distribution"><span class="index-entry-level-1">Normal (Gaussian) Distribution</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/skew_normal_dist.html" title="Skew Normal Distribution"><span class="index-entry-level-1">Skew Normal Distribution</span></a></p></li>
+</ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">log1p</span></p>
<div class="index"><ul class="index" type="none" compact>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/main_overview/tr1.html" title="C99 and C++ TR1 C-style Functions"><span class="index-entry-level-1">C99 and C++ TR1 C-style Functions</span></a></p></li>
@@ -1661,6 +1675,13 @@
</li>
</ul></div></dd>
<dt>
+<a name="idx_id_13"></a><span class="term">O</span>
+</dt>
+<dd><div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">owens_t</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/special/owens_t.html" title="Owen's T function"><span class="index-entry-level-1">Owen's T function</span></a></p></li></ul></div>
+</li></ul></div></dd>
+<dt>
<a name="idx_id_14"></a><span class="term">P</span>
</dt>
<dd><div class="index"><ul class="index" type="none" compact>
@@ -2044,6 +2065,7 @@
<p><span class="index-entry-level-0">t</span></p>
<div class="index"><ul class="index" type="none" compact>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/stat_tut/weg/st_eg/tut_mean_intervals.html" title="Calculating confidence intervals on the mean with the Students-t distribution"><span class="index-entry-level-1">Calculating confidence intervals on the mean with the Students-t distribution</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/status/issues.html" title="Known Issues, and TODO List"><span class="index-entry-level-1">Known Issues, and TODO List</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/toolkit/internals1/rational.html" title="Polynomial and Rational Function Evaluation"><span class="index-entry-level-1">Polynomial and Rational Function Evaluation</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/skew_normal_dist.html" title="Skew Normal Distribution"><span class="index-entry-level-1">Skew Normal Distribution</span></a></p></li>
</ul></div>
Modified: trunk/libs/math/doc/sf_and_dist/html/index/s14.html
==============================================================================
--- trunk/libs/math/doc/sf_and_dist/html/index/s14.html (original)
+++ trunk/libs/math/doc/sf_and_dist/html/index/s14.html 2012-04-22 12:10:55 EDT (Sun, 22 Apr 2012)
@@ -22,9 +22,9 @@
<div class="spirit-nav">
<a accesskey="p" href="s13.html"><img src="../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../index.html"><img src="../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../index.html"><img src="../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="s15.html"><img src="../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
-<div class="section id1471959">
+<div class="section id1316008">
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
-<a name="id1471959"></a>Class Index</h2></div></div></div>
+<a name="id1316008"></a>Class Index</h2></div></div></div>
<p><a class="link" href="s14.html#idx_id_24">B</a> <a class="link" href="s14.html#idx_id_25">C</a> <a class="link" href="s14.html#idx_id_26">D</a> <a class="link" href="s14.html#idx_id_27">E</a> <a class="link" href="s14.html#idx_id_28">F</a> <a class="link" href="s14.html#idx_id_29">G</a> <a class="link" href="s14.html#idx_id_30">H</a> <a class="link" href="s14.html#idx_id_31">I</a> <a class="link" href="s14.html#idx_id_33">L</a> <a class="link" href="s14.html#idx_id_34">M</a> <a class="link" href="s14.html#idx_id_35">N</a> <a class="link" href="s14.html#idx_id_37">P</a> <a class="link" href="s14.html#idx_id_39">R</a> <a class="link" href="s14.html#idx_id_40">S</a> <a class="link" href="s14.html#idx_id_41">T</a> <a class="link" href="s14.html#idx_id_42">U</a> <a class="link" href="s14.html#idx_id_44">W</a></p>
<div class="variablelist"><dl>
<dt>
@@ -192,7 +192,10 @@
<dt>
<a name="idx_id_40"></a><span class="term">S</span>
</dt>
-<dd><div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/students_t_dist.html" title="Students t Distribution"><span class="index-entry-level-0">students_t_distribution</span></a></p></li></ul></div></dd>
+<dd><div class="index"><ul class="index" type="none" compact>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/skew_normal_dist.html" title="Skew Normal Distribution"><span class="index-entry-level-0">skew_normal_distribution</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/students_t_dist.html" title="Students t Distribution"><span class="index-entry-level-0">students_t_distribution</span></a></p></li>
+</ul></div></dd>
<dt>
<a name="idx_id_41"></a><span class="term">T</span>
</dt>
Modified: trunk/libs/math/doc/sf_and_dist/html/index/s15.html
==============================================================================
--- trunk/libs/math/doc/sf_and_dist/html/index/s15.html (original)
+++ trunk/libs/math/doc/sf_and_dist/html/index/s15.html 2012-04-22 12:10:55 EDT (Sun, 22 Apr 2012)
@@ -22,9 +22,9 @@
<div class="spirit-nav">
<a accesskey="p" href="s14.html"><img src="../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../index.html"><img src="../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../index.html"><img src="../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="s16.html"><img src="../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
-<div class="section id1474804">
+<div class="section id1317495">
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
-<a name="id1474804"></a>Typedef Index</h2></div></div></div>
+<a name="id1317495"></a>Typedef Index</h2></div></div></div>
<p><a class="link" href="s15.html#idx_id_46">A</a> <a class="link" href="s15.html#idx_id_47">B</a> <a class="link" href="s15.html#idx_id_48">C</a> <a class="link" href="s15.html#idx_id_49">D</a> <a class="link" href="s15.html#idx_id_50">E</a> <a class="link" href="s15.html#idx_id_51">F</a> <a class="link" href="s15.html#idx_id_52">G</a> <a class="link" href="s15.html#idx_id_53">H</a> <a class="link" href="s15.html#idx_id_54">I</a> <a class="link" href="s15.html#idx_id_56">L</a> <a class="link" href="s15.html#idx_id_58">N</a> <a class="link" href="s15.html#idx_id_59">O</a> <a class="link" href="s15.html#idx_id_60">P</a> <a class="link" href="s15.html#idx_id_62">R</a> <a class="link" href="s15.html#idx_id_63">S</a> <a class="link" href="s15.html#idx_id_64">T</a> <a class="link" href="s15.html#idx_id_65">U</a> <a class="link" href="s15.html#idx_id_66">V</a> <a class="link" href="s15.html#idx_id_67">W</a></p>
<div class="variablelist"><dl>
<dt>
Modified: trunk/libs/math/doc/sf_and_dist/html/index/s16.html
==============================================================================
--- trunk/libs/math/doc/sf_and_dist/html/index/s16.html (original)
+++ trunk/libs/math/doc/sf_and_dist/html/index/s16.html 2012-04-22 12:10:55 EDT (Sun, 22 Apr 2012)
@@ -22,9 +22,9 @@
<div class="spirit-nav">
<a accesskey="p" href="s15.html"><img src="../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../index.html"><img src="../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../index.html"><img src="../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="s17.html"><img src="../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
-<div class="section id1476620">
+<div class="section id1322880">
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
-<a name="id1476620"></a>Macro Index</h2></div></div></div>
+<a name="id1322880"></a>Macro Index</h2></div></div></div>
<p><a class="link" href="s16.html#idx_id_70">B</a> <a class="link" href="s16.html#idx_id_74">F</a></p>
<div class="variablelist"><dl>
<dt>
Modified: trunk/libs/math/doc/sf_and_dist/html/index/s17.html
==============================================================================
--- trunk/libs/math/doc/sf_and_dist/html/index/s17.html (original)
+++ trunk/libs/math/doc/sf_and_dist/html/index/s17.html 2012-04-22 12:10:55 EDT (Sun, 22 Apr 2012)
@@ -21,9 +21,9 @@
<div class="spirit-nav">
<a accesskey="p" href="s16.html"><img src="../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../index.html"><img src="../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../index.html"><img src="../../../../../../doc/src/images/home.png" alt="Home"></a>
</div>
-<div class="section id1480032">
+<div class="section id1324106">
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
-<a name="id1480032"></a>Index</h2></div></div></div>
+<a name="id1324106"></a>Index</h2></div></div></div>
<p><a class="link" href="s17.html#idx_id_92">A</a> <a class="link" href="s17.html#idx_id_93">B</a> <a class="link" href="s17.html#idx_id_94">C</a> <a class="link" href="s17.html#idx_id_95">D</a> <a class="link" href="s17.html#idx_id_96">E</a> <a class="link" href="s17.html#idx_id_97">F</a> <a class="link" href="s17.html#idx_id_98">G</a> <a class="link" href="s17.html#idx_id_99">H</a> <a class="link" href="s17.html#idx_id_100">I</a> <a class="link" href="s17.html#idx_id_101">K</a> <a class="link" href="s17.html#idx_id_102">L</a> <a class="link" href="s17.html#idx_id_103">M</a> <a class="link" href="s17.html#idx_id_104">N</a> <a class="link" href="s17.html#idx_id_105">O</a> <a class="link" href="s17.html#idx_id_106">P</a> <a class="link" href="s17.html#idx_id_107">Q</a> <a class="link" href="s17.html#idx_id_108">R</a> <a class="link" href="s17.html#idx_id_109">S</a> <a class="link" href="s17.html#idx_id_110">T</a> <a class="link" href="s17.html#idx_id_111">U</a> <a class="link" href="s17.html#idx_id_112">V</a
> <a class="link" href="s17.html#idx_id_113">W</a> <a class="link" href="s17.html#idx_id_114">Z</a></p>
<div class="variablelist"><dl>
<dt>
@@ -1020,6 +1020,7 @@
<div class="index"><ul class="index" type="none" compact>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/cauchy_dist.html" title="Cauchy-Lorentz Distribution"><span class="index-entry-level-1">cauchy</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/cauchy_dist.html" title="Cauchy-Lorentz Distribution"><span class="index-entry-level-1">cauchy_distribution</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/cauchy_dist.html" title="Cauchy-Lorentz Distribution"><span class="index-entry-level-1">location</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/cauchy_dist.html" title="Cauchy-Lorentz Distribution"><span class="index-entry-level-1">policy_type</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/cauchy_dist.html" title="Cauchy-Lorentz Distribution"><span class="index-entry-level-1">scale</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/cauchy_dist.html" title="Cauchy-Lorentz Distribution"><span class="index-entry-level-1">shape</span></a></p></li>
@@ -1852,6 +1853,7 @@
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/stat_tut/weg/binom_eg/binomial_quiz_example.html" title="Binomial Quiz Example"><span class="index-entry-level-1">constants</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/stat_tut/weg/geometric_eg.html" title="Geometric Distribution Examples"><span class="index-entry-level-1">expression</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/stat_tut/weg/error_eg.html" title="Error Handling Example"><span class="index-entry-level-1">infinity</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/stat_tut/weg/find_eg/find_location_eg.html" title="Find Location (Mean) Example"><span class="index-entry-level-1">location</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/stat_tut/weg/find_eg/find_location_eg.html" title="Find Location (Mean) Example"><span class="index-entry-level-1">mean</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/stat_tut/weg/dist_construct_eg.html" title="Distribution Construction Example"><span class="index-entry-level-1">negative_binomial</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/stat_tut/weg/geometric_eg.html" title="Geometric Distribution Examples"><span class="index-entry-level-1">normal</span></a></p></li>
@@ -2012,6 +2014,7 @@
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/extreme_dist.html" title="Extreme Value Distribution"><span class="index-entry-level-1">constants</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/extreme_dist.html" title="Extreme Value Distribution"><span class="index-entry-level-1">extreme_value</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><span class="bold"><strong><a class="link" href="../math_toolkit/dist/dist_ref/dists/extreme_dist.html" title="Extreme Value Distribution"><span class="index-entry-level-1">extreme_value_distribution</span></a></strong></span></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/extreme_dist.html" title="Extreme Value Distribution"><span class="index-entry-level-1">location</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/extreme_dist.html" title="Extreme Value Distribution"><span class="index-entry-level-1">scale</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/extreme_dist.html" title="Extreme Value Distribution"><span class="index-entry-level-1">value_type</span></a></p></li>
</ul></div>
@@ -2831,7 +2834,10 @@
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Known Issues, and TODO List</span></p>
-<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/status/issues.html" title="Known Issues, and TODO List"><span class="index-entry-level-1">Lanczos approximation</span></a></p></li></ul></div>
+<div class="index"><ul class="index" type="none" compact>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/status/issues.html" title="Known Issues, and TODO List"><span class="index-entry-level-1">Lanczos approximation</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/status/issues.html" title="Known Issues, and TODO List"><span class="index-entry-level-1">T</span></a></p></li>
+</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">kurtosis</span></p>
@@ -2917,6 +2923,7 @@
<div class="index"><ul class="index" type="none" compact>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/laplace_dist.html" title="Laplace Distribution"><span class="index-entry-level-1">laplace</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><span class="bold"><strong><a class="link" href="../math_toolkit/dist/dist_ref/dists/laplace_dist.html" title="Laplace Distribution"><span class="index-entry-level-1">laplace_distribution</span></a></strong></span></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/laplace_dist.html" title="Laplace Distribution"><span class="index-entry-level-1">location</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/laplace_dist.html" title="Laplace Distribution"><span class="index-entry-level-1">policy_type</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/laplace_dist.html" title="Laplace Distribution"><span class="index-entry-level-1">scale</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/laplace_dist.html" title="Laplace Distribution"><span class="index-entry-level-1">value_type</span></a></p></li>
@@ -3055,6 +3062,20 @@
</ul></div>
</li>
<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">location</span></p>
+<div class="index"><ul class="index" type="none" compact>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/cauchy_dist.html" title="Cauchy-Lorentz Distribution"><span class="index-entry-level-1">Cauchy-Lorentz Distribution</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/extreme_dist.html" title="Extreme Value Distribution"><span class="index-entry-level-1">Extreme Value Distribution</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/stat_tut/weg/find_eg/find_location_eg.html" title="Find Location (Mean) Example"><span class="index-entry-level-1">Find Location (Mean) Example</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/stat_tut/weg/find_eg/find_scale_eg.html" title="Find Scale (Standard Deviation) Example"><span class="index-entry-level-1">Find Scale (Standard Deviation) Example</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/laplace_dist.html" title="Laplace Distribution"><span class="index-entry-level-1">Laplace Distribution</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/lognormal_dist.html" title="Log Normal Distribution"><span class="index-entry-level-1">Log Normal Distribution</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/logistic_dist.html" title="Logistic Distribution"><span class="index-entry-level-1">Logistic Distribution</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/normal_dist.html" title="Normal (Gaussian) Distribution"><span class="index-entry-level-1">Normal (Gaussian) Distribution</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/skew_normal_dist.html" title="Skew Normal Distribution"><span class="index-entry-level-1">Skew Normal Distribution</span></a></p></li>
+</ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Log Gamma</span></p>
<div class="index"><ul class="index" type="none" compact>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/special/sf_gamma/lgamma.html" title="Log Gamma"><span class="index-entry-level-1">constants</span></a></p></li>
@@ -3066,6 +3087,7 @@
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Log Normal Distribution</span></p>
<div class="index"><ul class="index" type="none" compact>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/lognormal_dist.html" title="Log Normal Distribution"><span class="index-entry-level-1">location</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/lognormal_dist.html" title="Log Normal Distribution"><span class="index-entry-level-1">lognormal</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/lognormal_dist.html" title="Log Normal Distribution"><span class="index-entry-level-1">lognormal_distribution</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/lognormal_dist.html" title="Log Normal Distribution"><span class="index-entry-level-1">policy_type</span></a></p></li>
@@ -3155,6 +3177,7 @@
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Logistic Distribution</span></p>
<div class="index"><ul class="index" type="none" compact>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/logistic_dist.html" title="Logistic Distribution"><span class="index-entry-level-1">location</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/logistic_dist.html" title="Logistic Distribution"><span class="index-entry-level-1">logistic</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><span class="bold"><strong><a class="link" href="../math_toolkit/dist/dist_ref/dists/logistic_dist.html" title="Logistic Distribution"><span class="index-entry-level-1">logistic_distribution</span></a></strong></span></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/logistic_dist.html" title="Logistic Distribution"><span class="index-entry-level-1">policy_type</span></a></p></li>
@@ -3554,6 +3577,7 @@
<p><span class="index-entry-level-0">Normal (Gaussian) Distribution</span></p>
<div class="index"><ul class="index" type="none" compact>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/normal_dist.html" title="Normal (Gaussian) Distribution"><span class="index-entry-level-1">erfc</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/normal_dist.html" title="Normal (Gaussian) Distribution"><span class="index-entry-level-1">location</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/normal_dist.html" title="Normal (Gaussian) Distribution"><span class="index-entry-level-1">mean</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/normal_dist.html" title="Normal (Gaussian) Distribution"><span class="index-entry-level-1">normal</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/normal_dist.html" title="Normal (Gaussian) Distribution"><span class="index-entry-level-1">normal_distribution</span></a></p></li>
@@ -3575,10 +3599,20 @@
<dt>
<a name="idx_id_105"></a><span class="term">O</span>
</dt>
-<dd><div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none">
+<dd><div class="index"><ul class="index" type="none" compact>
+<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">overflow_error_type</span></p>
<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/policy/pol_ref/pol_ref_ref.html" title="Policy Class Reference"><span class="index-entry-level-1">Policy Class Reference</span></a></p></li></ul></div>
-</li></ul></div></dd>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">Owen's T function</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/special/owens_t.html" title="Owen's T function"><span class="index-entry-level-1">owens_t</span></a></p></li></ul></div>
+</li>
+<li class="listitem" style="list-style-type: none">
+<p><span class="index-entry-level-0">owens_t</span></p>
+<div class="index"><ul class="index" type="none" compact><li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/special/owens_t.html" title="Owen's T function"><span class="index-entry-level-1">Owen's T function</span></a></p></li></ul></div>
+</li>
+</ul></div></dd>
<dt>
<a name="idx_id_106"></a><span class="term">P</span>
</dt>
@@ -4119,11 +4153,13 @@
<p><span class="index-entry-level-0">Skew Normal Distribution</span></p>
<div class="index"><ul class="index" type="none" compact>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/skew_normal_dist.html" title="Skew Normal Distribution"><span class="index-entry-level-1">expression</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/skew_normal_dist.html" title="Skew Normal Distribution"><span class="index-entry-level-1">location</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/skew_normal_dist.html" title="Skew Normal Distribution"><span class="index-entry-level-1">normal</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/skew_normal_dist.html" title="Skew Normal Distribution"><span class="index-entry-level-1">policy_type</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/skew_normal_dist.html" title="Skew Normal Distribution"><span class="index-entry-level-1">quantile</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/skew_normal_dist.html" title="Skew Normal Distribution"><span class="index-entry-level-1">scale</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/skew_normal_dist.html" title="Skew Normal Distribution"><span class="index-entry-level-1">shape</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><span class="bold"><strong><a class="link" href="../math_toolkit/dist/dist_ref/dists/skew_normal_dist.html" title="Skew Normal Distribution"><span class="index-entry-level-1">skew_normal_distribution</span></a></strong></span></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/skew_normal_dist.html" title="Skew Normal Distribution"><span class="index-entry-level-1">T</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/skew_normal_dist.html" title="Skew Normal Distribution"><span class="index-entry-level-1">value_type</span></a></p></li>
</ul></div>
@@ -4137,6 +4173,7 @@
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/triangular_dist.html" title="Triangular Distribution"><span class="index-entry-level-1">Triangular Distribution</span></a></p></li>
</ul></div>
</li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/skew_normal_dist.html" title="Skew Normal Distribution"><span class="index-entry-level-0">skew_normal_distribution</span></a></p></li>
<li class="listitem" style="list-style-type: none">
<p><span class="index-entry-level-0">Spherical Bessel Functions of the First and Second Kinds</span></p>
<div class="index"><ul class="index" type="none" compact>
@@ -4284,6 +4321,7 @@
<p><span class="index-entry-level-0">t</span></p>
<div class="index"><ul class="index" type="none" compact>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/stat_tut/weg/st_eg/tut_mean_intervals.html" title="Calculating confidence intervals on the mean with the Students-t distribution"><span class="index-entry-level-1">Calculating confidence intervals on the mean with the Students-t distribution</span></a></p></li>
+<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/status/issues.html" title="Known Issues, and TODO List"><span class="index-entry-level-1">Known Issues, and TODO List</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/toolkit/internals1/rational.html" title="Polynomial and Rational Function Evaluation"><span class="index-entry-level-1">Polynomial and Rational Function Evaluation</span></a></p></li>
<li class="listitem" style="list-style-type: none"><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/skew_normal_dist.html" title="Skew Normal Distribution"><span class="index-entry-level-1">Skew Normal Distribution</span></a></p></li>
</ul></div>
Modified: trunk/libs/math/doc/sf_and_dist/html/math_toolkit/constants/constants.html
==============================================================================
--- trunk/libs/math/doc/sf_and_dist/html/math_toolkit/constants/constants.html (original)
+++ trunk/libs/math/doc/sf_and_dist/html/math_toolkit/constants/constants.html 2012-04-22 12:10:55 EDT (Sun, 22 Apr 2012)
@@ -900,7 +900,7 @@
</td>
<td>
<p>
- ln(e)
+ log10(e)
</p>
</td>
<td>
@@ -919,7 +919,7 @@
</td>
<td>
<p>
- 1/ln(e)
+ 1/log10(e)
</p>
</td>
<td>
Modified: trunk/libs/math/doc/sf_and_dist/html/math_toolkit/main_overview/history1.html
==============================================================================
--- trunk/libs/math/doc/sf_and_dist/html/math_toolkit/main_overview/history1.html (original)
+++ trunk/libs/math/doc/sf_and_dist/html/math_toolkit/main_overview/history1.html 2012-04-22 12:10:55 EDT (Sun, 22 Apr 2012)
@@ -42,7 +42,8 @@
three namespaces.
</li>
<li class="listitem">
- Added the Skew Normal distribution written by Benjamin Sobotta.
+ Added the Owen's T function and Skew Normal distribution written by Benjamin
+ Sobotta.
</li>
<li class="listitem">
Corrected issue <a href="https://svn.boost.org/trac/boost/ticket/6627" target="_top">#6627
Modified: trunk/libs/math/doc/sf_and_dist/html/math_toolkit/main_overview/navigation.html
==============================================================================
--- trunk/libs/math/doc/sf_and_dist/html/math_toolkit/main_overview/navigation.html (original)
+++ trunk/libs/math/doc/sf_and_dist/html/math_toolkit/main_overview/navigation.html 2012-04-22 12:10:55 EDT (Sun, 22 Apr 2012)
@@ -27,7 +27,7 @@
<a name="math_toolkit.main_overview.navigation"></a><a class="link" href="navigation.html" title="Navigation">Navigation</a>
</h3></div></div></div>
<p>
- <a class="indexterm" name="id1002841"></a>
+ <a class="indexterm" name="id842277"></a>
</p>
<p>
Boost.Math documentation is provided in both HTML and PDF formats.
Modified: trunk/libs/math/doc/sf_and_dist/html/math_toolkit/status/history1.html
==============================================================================
--- trunk/libs/math/doc/sf_and_dist/html/math_toolkit/status/history1.html (original)
+++ trunk/libs/math/doc/sf_and_dist/html/math_toolkit/status/history1.html 2012-04-22 12:10:55 EDT (Sun, 22 Apr 2012)
@@ -41,7 +41,8 @@
three namespaces.
</li>
<li class="listitem">
- Added the Skew Normal distribution written by Benjamin Sobotta.
+ Added the Owen's T function and Skew Normal distribution written by Benjamin
+ Sobotta.
</li>
<li class="listitem">
Corrected issue <a href="https://svn.boost.org/trac/boost/ticket/6627" target="_top">#6627
Modified: trunk/libs/math/doc/sf_and_dist/html/math_toolkit/status/issues.html
==============================================================================
--- trunk/libs/math/doc/sf_and_dist/html/math_toolkit/status/issues.html (original)
+++ trunk/libs/math/doc/sf_and_dist/html/math_toolkit/status/issues.html 2012-04-22 12:10:55 EDT (Sun, 22 Apr 2012)
@@ -142,6 +142,22 @@
</p>
<h5>
<a name="math_toolkit.status.issues.h6"></a>
+ <span><a name="math_toolkit.status.issues.owen_s_t_function"></a></span><a class="link" href="issues.html#math_toolkit.status.issues.owen_s_t_function">Owen's
+ T Function</a>
+ </h5>
+<p>
+ There is a problem area at arbitrary precision when <span class="emphasis"><em>a</em></span>
+ is very close to 1. However, note that the value for <span class="emphasis"><em>T(h, 1)</em></span>
+ is well known and easy to compute, and if we replaced the <span class="emphasis"><em>a<sup>k</sup></em></span>
+ terms in series T1, T2 or T4 by <span class="emphasis"><em>(a<sup>k</sup> - 1)</em></span> then we would
+ have the difference between <span class="emphasis"><em>T(h, a)</em></span> and <span class="emphasis"><em>T(h,
+ 1)</em></span>. Unfortunately this doesn't improve the convergence of those
+ series in that area. It certainly looks as though a new series in terms of
+ <span class="emphasis"><em>(1-a)<sup>k</sup></em></span> is both possible and desirable in this area,
+ but it remains elusive at present.
+ </p>
+<h5>
+<a name="math_toolkit.status.issues.h7"></a>
<span><a name="math_toolkit.status.issues.jocobi_elliptic_functions"></a></span><a class="link" href="issues.html#math_toolkit.status.issues.jocobi_elliptic_functions">Jocobi elliptic
functions</a>
</h5>
@@ -150,7 +166,7 @@
these.
</p>
<h5>
-<a name="math_toolkit.status.issues.h7"></a>
+<a name="math_toolkit.status.issues.h8"></a>
<span><a name="math_toolkit.status.issues.statistical_distributions"></a></span><a class="link" href="issues.html#math_toolkit.status.issues.statistical_distributions">Statistical
distributions</a>
</h5>
@@ -159,7 +175,7 @@
for very large degrees of freedom?
</li></ul></div>
<h5>
-<a name="math_toolkit.status.issues.h8"></a>
+<a name="math_toolkit.status.issues.h9"></a>
<span><a name="math_toolkit.status.issues.feature_requests"></a></span><a class="link" href="issues.html#math_toolkit.status.issues.feature_requests">Feature
Requests</a>
</h5>
Modified: trunk/libs/math/doc/sf_and_dist/issues.qbk
==============================================================================
--- trunk/libs/math/doc/sf_and_dist/issues.qbk (original)
+++ trunk/libs/math/doc/sf_and_dist/issues.qbk 2012-04-22 12:10:55 EDT (Sun, 22 Apr 2012)
@@ -74,6 +74,15 @@
We may also be able to improve performance of the Bessel series evaluation by accelerating the alternating
series. This may also increase the scope of the series form.
+[h4 Owen's T Function]
+
+There is a problem area at arbitrary precision when ['a] is very close to 1. However, note that
+the value for ['T(h, 1)] is well known and easy to compute, and if we replaced the
+['a[super k]] terms in series T1, T2 or T4 by ['(a[super k] - 1)] then we would have the
+difference between ['T(h, a)] and ['T(h, 1)]. Unfortunately this doesn't improve the
+convergence of those series in that area. It certainly looks as though a new series in terms
+of ['(1-a)[super k]] is both possible and desirable in this area, but it remains elusive at present.
+
[h4 Jocobi elliptic functions]
These are useful in engineering applications - we have had a request to add these.
Modified: trunk/libs/math/doc/sf_and_dist/owens_t.qbk
==============================================================================
--- trunk/libs/math/doc/sf_and_dist/owens_t.qbk (original)
+++ trunk/libs/math/doc/sf_and_dist/owens_t.qbk 2012-04-22 12:10:55 EDT (Sun, 22 Apr 2012)
@@ -53,35 +53,21 @@
Owen's original paper (page 1077) provides some additional corner cases.
-__spaces T(h, 0) = 0
+[: ['T(h, 0) = 0]]
-__spaces T(0, a) = 1/2[pi] arctan(a)
+[:['T(0, a) = [frac12][pi] arctan(a)]]
-__spaces T(h, 1) = [frac12] G(h) \[1 - G(h)\]
+[:['T(h, 1) = [frac12] G(h) \[1 - G(h)\]]]
-where G(h) is the univariate normal with zero mean and unit variance integral from -[infin] to h.
+[:['T(h, [infin]) = G(|h|)]]
-Owen's expressions for infinity are not yet implemented.
+where G(h) is the univariate normal with zero mean and unit variance integral from -[infin] to h.
[h4 Accuracy]
-The Patefield-Tandy algorithm provides six methods of evalualution (T1 to T6);
-the best method is selected according to the values of ['a] and ['h].
-See the original paper and the source in
-[@../../../../../boost/math/special_functions/owens_t.hpp owens_t.hpp] for details.
-
Over the built-in types and range tested,
errors are less than 10 * std::numeric_limits<RealType>::epsilon().
-There is no fully generic version of this function: all the implementations
-are tuned to specific accuracy levels, the most precise of which delivers
-about 30-digits of precision.
-
-For arbitrary precision calculation we just provide a
-T1 method as the default case and warn that only absolute errors can be guaranteed.
-We could maybe include T1b as well for h < 1,
-but the real problems come when h gets large.
-
[h4 Testing]
Test data was generated by Patefield and Tandy algorithms T1 and T4,
@@ -112,9 +98,29 @@
"Fast and accurate Calculation of Owen's T-Function", Journal of Statistical Software, 5 (5), 1 - 25 (2000)
are adapted for C++ with arbitrary RealType.
-However, at present, some coefficients are limited to long double precision of 20 decimal digits,
-so this places a constraint on the accuracy of results,
-even if RealType provides high precision, for example 50 decimal digits.
+The Patefield-Tandy algorithm provides six methods of evalualution (T1 to T6);
+the best method is selected according to the values of ['a] and ['h].
+See the original paper and the source in
+[@../../../../../boost/math/special_functions/owens_t.hpp owens_t.hpp] for details.
+
+The Patefield-Tandy algorithm is accurate to approximately 20 decimal places, so for
+types with greater precision we use:
+
+* A modified version of T1 which folds the calculation of ['atan(h)] into the T1 series
+(to avoid subtracting two values similar in magnitude), and then accelerates the
+resulting alternating series using method 1 from H. Cohen, F. Rodriguez Villegas, D. Zagier,
+"Convergence acceleration of alternating series", Bonn, (1991). The result is valid everywhere,
+but doesn't always converge, or may become too divergent in the first few terms to sum accurately.
+This is used for ['ah < 1].
+* A modified version of T2 which is accelerated in the same manner as T1. This is used for ['h > 1].
+* A version of T4 only when both T1 and T2 have failed to produce an accurate answer.
+* Fallback to the Patefiled Tandy algorithm when all the above methods fail: this happens not at all
+for our test data at 100 decimal digits precision. However, there is a difficult area when
+['a] is very close to 1 and the precision increases which may cause this to happen in very exceptional
+circumstances.
+
+Using the above algorithm and a 100-decimal digit type, results accurate to 80 decimal places were obtained
+in the difficult area where ['a] is close to 1, and greater than 95 decimal places elsewhere.
[endsect] [/section:owens_t The owens_t Function]
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