Update history and regenerate docs.

doc/html/math_toolkit/conventions.html

@@ -27,7 +27,7 @@
 <a name="math_toolkit.conventions"></a><a class="link" href="conventions.html" title="Document Conventions">Document Conventions</a>
 </h2></div></div></div>
 <p>
-      <a class="indexterm" name="id848126"></a>
+      <a class="indexterm" name="id862559"></a>
     </p>
 <p>
       This documentation aims to use of the following naming and formatting conventions.

doc/html/math_toolkit/ellint/ellint_carlson.html

@@ -77,6 +77,18 @@
 <span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Chapter&#160;14.&#160;Policies: Controlling Precision, Error Handling etc">Policy</a><span class="special">&gt;</span>
 <a class="link" href="../result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">ellint_rc</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">y</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Chapter&#160;14.&#160;Policies: Controlling Precision, Error Handling etc">Policy</a><span class="special">&amp;)</span>
 
+<span class="special">}}</span> <span class="comment">// namespaces</span>
+</pre>
+<pre class="programlisting"><span class="preprocessor">#include</span> <span class="special">&lt;</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">math</span><span class="special">/</span><span class="identifier">special_functions</span><span class="special">/</span><span class="identifier">ellint_rg</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">&gt;</span>
+</pre>
+<pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">math</span> <span class="special">{</span>
+
+<span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">&gt;</span>
+<a class="link" href="../result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">ellint_rg</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">y</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">z</span><span class="special">)</span>
+
+<span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Chapter&#160;14.&#160;Policies: Controlling Precision, Error Handling etc">Policy</a><span class="special">&gt;</span>
+<a class="link" href="../result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">ellint_rg</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">y</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">z</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Chapter&#160;14.&#160;Policies: Controlling Precision, Error Handling etc">Policy</a><span class="special">&amp;)</span>
+
 <span class="special">}}</span> <span class="comment">// namespaces</span>
 </pre>
 <h5>
@@ -198,6 +210,28 @@
 <p>
         <span class="inlinemediaobject"><img src="../../../equations/ellint18.png"></span>
       </p>
+<pre class="programlisting"><span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">&gt;</span>
+<a class="link" href="../result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">ellint_rg</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">y</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">z</span><span class="special">)</span>
+
+<span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T3</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Chapter&#160;14.&#160;Policies: Controlling Precision, Error Handling etc">Policy</a><span class="special">&gt;</span>
+<a class="link" href="../result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">ellint_rg</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">y</span><span class="special">,</span> <span class="identifier">T3</span> <span class="identifier">z</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Chapter&#160;14.&#160;Policies: Controlling Precision, Error Handling etc">Policy</a><span class="special">&amp;)</span>
+</pre>
+<p>
+        Returns Carlson's elliptic integral R<sub>G</sub>:
+      </p>
+<p>
+        <span class="inlinemediaobject"><img src="../../../equations/ellint27.png"></span>
+      </p>
+<p>
+        Requires that x and y are non-negative, otherwise returns the result of
+        <a class="link" href="../error_handling.html#math_toolkit.error_handling.domain_error">domain_error</a>.
+      </p>
+<p>
+        The final <a class="link" href="../../policy.html" title="Chapter&#160;14.&#160;Policies: Controlling Precision, Error Handling etc">Policy</a> argument is optional and can
+        be used to control the behaviour of the function: how it handles errors,
+        what level of precision to use etc. Refer to the <a class="link" href="../../policy.html" title="Chapter&#160;14.&#160;Policies: Controlling Precision, Error Handling etc">policy
+        documentation for more details</a>.
+      </p>
 <h5>
 <a name="math_toolkit.ellint.ellint_carlson.h2"></a>
         <span class="phrase"><a name="math_toolkit.ellint.ellint_carlson.testing"></a></span><a class="link" href="ellint_carlson.html#math_toolkit.ellint.ellint_carlson.testing">Testing</a>
@@ -397,7 +431,8 @@
 <p>
         is used. More specifically, <span class="emphasis"><em>[R F]</em></span> is evaluated from
         a Taylor series expansion to the fifth order. The calculations of the other
-        three integrals are analogous.
+        three integrals are analogous, except for R<sub>C</sub> which can be computed from elementary
+        functions.
       </p>
 <p>
         For <span class="emphasis"><em>p &lt; 0</em></span> in <span class="emphasis"><em>R<sub>J</sub>(x, y, z, p)</em></span>

doc/html/math_toolkit/ellint/ellint_intro.html

@@ -241,6 +241,12 @@
         </p>
 </td></tr>
 </table></div>
+<p>
+        Carlson's Symmetric Integral
+      </p>
+<p>
+        <span class="inlinemediaobject"><img src="../../../equations/ellint27.png"></span>
+      </p>
 <h5>
 <a name="math_toolkit.ellint.ellint_intro.h2"></a>
         <span class="phrase"><a name="math_toolkit.ellint.ellint_intro.duplication_theorem"></a></span><a class="link" href="ellint_intro.html#math_toolkit.ellint.ellint_intro.duplication_theorem">Duplication

doc/html/math_toolkit/history1.html

@@ -62,6 +62,11 @@
 <li class="listitem">
           Fixed extreme-value pdf for large valued inputs, see <a href="https://svn.boost.org/trac/boost/ticket/10938" target="_top">#10938</a>.
         </li>
+<li class="listitem">
+          Large update to the Elliptic integral code to use Carlson's latest algorithms
+          - these should be more stable, more accurate and slightly faster than before.
+          Also added support for Carlson's RG integral.
+        </li>
 </ul></div>
 <h5>
 <a name="math_toolkit.history1.h1"></a>

doc/html/math_toolkit/history2.html

@@ -62,6 +62,11 @@
 <li class="listitem">
           Fixed extreme-value pdf for large valued inputs, see <a href="https://svn.boost.org/trac/boost/ticket/10938" target="_top">#10938</a>.
         </li>
+<li class="listitem">
+          Large update to the Elliptic integral code to use Carlson's latest algorithms
+          - these should be more stable, more accurate and slightly faster than before.
+          Also added support for Carlson's RG integral.
+        </li>
 </ul></div>
 <h5>
 <a name="math_toolkit.history2.h1"></a>

doc/html/math_toolkit/navigation.html

@@ -27,7 +27,7 @@
 <a name="math_toolkit.navigation"></a><a class="link" href="navigation.html" title="Navigation">Navigation</a>
 </h2></div></div></div>
 <p>
-      <a class="indexterm" name="id850270"></a>
+      <a class="indexterm" name="id862446"></a>
     </p>
 <p>
       Boost.Math documentation is provided in both HTML and PDF formats.