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[259]5<title>mixpp: bdm::eEF Class Reference</title>
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[271]69  <div class="navpath"><b>bdm</b>::<a class="el" href="classbdm_1_1eEF.html">eEF</a>
[259]70  </div>
71</div>
72<div class="contents">
[591]73<h1>bdm::eEF Class Reference</h1><!-- doxytag: class="bdm::eEF" --><!-- doxytag: inherits="bdm::epdf" -->
74<p>General conjugate exponential family posterior density. 
75<a href="#_details">More...</a></p>
[259]76
[591]77<p><code>#include &lt;<a class="el" href="exp__family_8h_source.html">exp_family.h</a>&gt;</code></p>
[259]78
[591]79<p><a href="classbdm_1_1eEF-members.html">List of all members.</a></p>
80<table border="0" cellpadding="0" cellspacing="0">
81<tr><td colspan="2"><h2>Public Member Functions</h2></td></tr>
82<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="ad5459d472d0feca7cf1fb5f65c4b9ef4"></a><!-- doxytag: member="bdm::eEF::eEF" ref="ad5459d472d0feca7cf1fb5f65c4b9ef4" args="()" -->
83&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1eEF.html#ad5459d472d0feca7cf1fb5f65c4b9ef4">eEF</a> ()</td></tr>
84<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">default constructor <br/></td></tr>
85<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="acd678fc9b02007a4b8d6692e746f1bf8"></a><!-- doxytag: member="bdm::eEF::lognc" ref="acd678fc9b02007a4b8d6692e746f1bf8" args="() const =0" -->
86virtual double&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1eEF.html#acd678fc9b02007a4b8d6692e746f1bf8">lognc</a> () const =0</td></tr>
[608]87<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">logarithm of the normalizing constant, <img class="formulaInl" alt="$\mathcal{I}$" src="form_97.png"/> <br/></td></tr>
[591]88<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="aa4135778ecd9ab774762936c82a097c6"></a><!-- doxytag: member="bdm::eEF::evallog_nn" ref="aa4135778ecd9ab774762936c82a097c6" args="(const vec &amp;val) const " -->
89virtual double&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1eEF.html#aa4135778ecd9ab774762936c82a097c6">evallog_nn</a> (const vec &amp;val) const </td></tr>
90<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Evaluate normalized log-probability. <br/></td></tr>
91<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="aa36d06ecdd6f4c79dc122510eaccc692"></a><!-- doxytag: member="bdm::eEF::evallog" ref="aa36d06ecdd6f4c79dc122510eaccc692" args="(const vec &amp;val) const " -->
92virtual double&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1eEF.html#aa36d06ecdd6f4c79dc122510eaccc692">evallog</a> (const vec &amp;val) const </td></tr>
93<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Evaluate normalized log-probability. <br/></td></tr>
94<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a6886c60b6b690e503913240db5de0c6f"></a><!-- doxytag: member="bdm::eEF::evallog_m" ref="a6886c60b6b690e503913240db5de0c6f" args="(const mat &amp;Val) const " -->
95virtual vec&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1eEF.html#a6886c60b6b690e503913240db5de0c6f">evallog_m</a> (const mat &amp;Val) const </td></tr>
96<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Evaluate normalized log-probability for many samples. <br/></td></tr>
97<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="ad793f4fd6d0dcec5f16bff0ae45fc7d5"></a><!-- doxytag: member="bdm::eEF::evallog_m" ref="ad793f4fd6d0dcec5f16bff0ae45fc7d5" args="(const Array&lt; vec &gt; &amp;Val) const " -->
98virtual vec&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1eEF.html#ad793f4fd6d0dcec5f16bff0ae45fc7d5">evallog_m</a> (const Array&lt; vec &gt; &amp;Val) const </td></tr>
99<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Evaluate normalized log-probability for many samples. <br/></td></tr>
100<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="acf38af29e8e3d650c640509a52396053"></a><!-- doxytag: member="bdm::eEF::pow" ref="acf38af29e8e3d650c640509a52396053" args="(double p)" -->
101virtual void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1eEF.html#acf38af29e8e3d650c640509a52396053">pow</a> (double p)</td></tr>
102<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Power of the density, used e.g. to flatten the density. <br/></td></tr>
103<tr><td class="memItemLeft" align="right" valign="top">void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1epdf.html#afa9efc98a065b31c630fe18cc418f725">from_setting</a> (const Setting &amp;set)</td></tr>
[608]104<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Load from structure with elements:.  <a href="#afa9efc98a065b31c630fe18cc418f725"></a><br/></td></tr>
[591]105<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="aaf0e6941ba5919cae1bc530e2181b109"></a><!-- doxytag: member="bdm::eEF::to_string" ref="aaf0e6941ba5919cae1bc530e2181b109" args="()" -->
106virtual string&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1root.html#aaf0e6941ba5919cae1bc530e2181b109">to_string</a> ()</td></tr>
107<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">This method returns a basic info about the current instance. <br/></td></tr>
108<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a67d954d255ede776eade7334d4895790"></a><!-- doxytag: member="bdm::eEF::to_setting" ref="a67d954d255ede776eade7334d4895790" args="(Setting &amp;set) const " -->
109virtual void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1root.html#a67d954d255ede776eade7334d4895790">to_setting</a> (Setting &amp;set) const </td></tr>
110<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">This method save all the instance properties into the Setting structure. <br/></td></tr>
111<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a1c314bd6d6dacb8ba78ea5eb88fd9516"></a><!-- doxytag: member="bdm::eEF::validate" ref="a1c314bd6d6dacb8ba78ea5eb88fd9516" args="()" -->
112virtual void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1root.html#a1c314bd6d6dacb8ba78ea5eb88fd9516">validate</a> ()</td></tr>
113<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">This method TODO. <br/></td></tr>
[271]114<tr><td colspan="2"><div class="groupHeader">Constructors</div></td></tr>
[591]115<tr><td colspan="2"><div class="groupText"><p><a class="anchor" id="amgrp559a25fdb98a7d1fd1c3771ac568d5e9"></a> Construction of each <a class="el" href="classbdm_1_1epdf.html" title="Probability density function with numerical statistics, e.g. posterior density.">epdf</a> should support two types of constructors: </p>
116<ul>
[271]117<li>empty constructor, </li>
118<li>copy constructor,</li>
119</ul>
[591]120<p>The following constructors should be supported for convenience: </p>
121<ul>
[271]122<li>constructor followed by calling <code>set_parameters()</code> </li>
[591]123<li>constructor accepting random variables calling <code><a class="el" href="classbdm_1_1epdf.html#af423e28448dbb69ef4905295ec8de8ff" title="Name its rv.">set_rv()</a></code> </li>
[271]124</ul>
[591]125<p>All internal data structures are constructed as empty. Their values (including sizes) will be set by method <code>set_parameters()</code>. This way references can be initialized in constructors. </p>
126<br/><br/></div></td></tr>
127<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a840de94aa33cf4f2ebd2427f45a165d8"></a><!-- doxytag: member="bdm::eEF::set_parameters" ref="a840de94aa33cf4f2ebd2427f45a165d8" args="(int dim0)" -->
[271]128void&nbsp;</td><td class="memItemRight" valign="bottom"><b>set_parameters</b> (int dim0)</td></tr>
[270]129<tr><td colspan="2"><div class="groupHeader">Matematical Operations</div></td></tr>
[591]130<tr><td colspan="2"><div class="groupText"><p><a class="anchor" id="amgrp96552c993870a5dd6bb0ea321f1ceb78"></a> </p>
131<br/><br/></div></td></tr>
132<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a75ba57a89681a8efec488f5796c7cc1b"></a><!-- doxytag: member="bdm::eEF::sample" ref="a75ba57a89681a8efec488f5796c7cc1b" args="() const " -->
133virtual vec&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1epdf.html#a75ba57a89681a8efec488f5796c7cc1b">sample</a> () const </td></tr>
[608]134<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Returns a sample, <img class="formulaInl" alt="$ x $" src="form_3.png"/> from density <img class="formulaInl" alt="$ f_x()$" src="form_13.png"/>. <br/></td></tr>
[591]135<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="ab4cf45fd83cc7573ede9fe1215256058"></a><!-- doxytag: member="bdm::eEF::sample_m" ref="ab4cf45fd83cc7573ede9fe1215256058" args="(int N) const " -->
136virtual mat&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1epdf.html#ab4cf45fd83cc7573ede9fe1215256058">sample_m</a> (int N) const </td></tr>
[608]137<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Returns N samples, <img class="formulaInl" alt="$ [x_1 , x_2 , \ldots \ $" src="form_14.png"/> from density <img class="formulaInl" alt="$ f_x(rv)$" src="form_15.png"/>. <br/></td></tr>
[591]138<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a1499d35b79bce0cfa64fc5cafb9c03b2"></a><!-- doxytag: member="bdm::eEF::condition" ref="a1499d35b79bce0cfa64fc5cafb9c03b2" args="(const RV &amp;rv) const " -->
139virtual <a class="el" href="classbdm_1_1shared__ptr.html">shared_ptr</a>&lt; <a class="el" href="classbdm_1_1mpdf.html">mpdf</a> &gt;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1epdf.html#a1499d35b79bce0cfa64fc5cafb9c03b2">condition</a> (const <a class="el" href="classbdm_1_1RV.html">RV</a> &amp;<a class="el" href="classbdm_1_1epdf.html#a62c5b8ff71d9ebe6cd58d3c342eb1dc8">rv</a>) const </td></tr>
140<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Return conditional density on the given <a class="el" href="classbdm_1_1RV.html" title="Class representing variables, most often random variables.">RV</a>, the remaining rvs will be in conditioning. <br/></td></tr>
141<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="aa84b05f5293cab2aeb4e07faffa60906"></a><!-- doxytag: member="bdm::eEF::marginal" ref="aa84b05f5293cab2aeb4e07faffa60906" args="(const RV &amp;rv) const " -->
142virtual <a class="el" href="classbdm_1_1shared__ptr.html">shared_ptr</a>&lt; <a class="el" href="classbdm_1_1epdf.html">epdf</a> &gt;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1epdf.html#aa84b05f5293cab2aeb4e07faffa60906">marginal</a> (const <a class="el" href="classbdm_1_1RV.html">RV</a> &amp;<a class="el" href="classbdm_1_1epdf.html#a62c5b8ff71d9ebe6cd58d3c342eb1dc8">rv</a>) const </td></tr>
143<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Return marginal density on the given <a class="el" href="classbdm_1_1RV.html" title="Class representing variables, most often random variables.">RV</a>, the remainig rvs are intergrated out. <br/></td></tr>
144<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a0c8d13d788094605b3cdab20a6e22b75"></a><!-- doxytag: member="bdm::eEF::mean" ref="a0c8d13d788094605b3cdab20a6e22b75" args="() const " -->
145virtual vec&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1epdf.html#a0c8d13d788094605b3cdab20a6e22b75">mean</a> () const </td></tr>
146<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">return expected value <br/></td></tr>
147<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a4543d40ccfc5d549b0c831a57a3ed84c"></a><!-- doxytag: member="bdm::eEF::variance" ref="a4543d40ccfc5d549b0c831a57a3ed84c" args="() const " -->
148virtual vec&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1epdf.html#a4543d40ccfc5d549b0c831a57a3ed84c">variance</a> () const </td></tr>
149<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">return expected variance (not covariance!) <br/></td></tr>
150<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a0a7705e80601957f7226d333a0a6d539"></a><!-- doxytag: member="bdm::eEF::qbounds" ref="a0a7705e80601957f7226d333a0a6d539" args="(vec &amp;lb, vec &amp;ub, double percentage=0.95) const " -->
151virtual void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1epdf.html#a0a7705e80601957f7226d333a0a6d539">qbounds</a> (vec &amp;lb, vec &amp;ub, double percentage=0.95) const </td></tr>
152<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Lower and upper bounds of <code>percentage</code> % quantile, returns mean-2*sigma as default. <br/></td></tr>
[270]153<tr><td colspan="2"><div class="groupHeader">Connection to other classes</div></td></tr>
[608]154<tr><td colspan="2"><div class="groupText"><p><a class="anchor" id="amgrp14fc6e1cb822e9dfc5edc16c20fabe11"></a>Description of the random quantity via attribute <code>rv</code> is optional. For operations such as sampling <code>rv</code> does not need to be set. However, for <code>marginalization</code> and <code>conditioning</code> <code>rv</code> has to be set. NB: </p>
[591]155<br/><br/></div></td></tr>
156<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="af423e28448dbb69ef4905295ec8de8ff"></a><!-- doxytag: member="bdm::eEF::set_rv" ref="af423e28448dbb69ef4905295ec8de8ff" args="(const RV &amp;rv0)" -->
157void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1epdf.html#af423e28448dbb69ef4905295ec8de8ff">set_rv</a> (const <a class="el" href="classbdm_1_1RV.html">RV</a> &amp;rv0)</td></tr>
158<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Name its rv. <br/></td></tr>
159<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="ac4b863ff84c7a4882fb3ad18556027f9"></a><!-- doxytag: member="bdm::eEF::isnamed" ref="ac4b863ff84c7a4882fb3ad18556027f9" args="() const " -->
160bool&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1epdf.html#ac4b863ff84c7a4882fb3ad18556027f9">isnamed</a> () const </td></tr>
161<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">True if rv is assigned. <br/></td></tr>
162<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="aa4ab378d5e004c3ff3e2d4e64f7bba21"></a><!-- doxytag: member="bdm::eEF::_rv" ref="aa4ab378d5e004c3ff3e2d4e64f7bba21" args="() const " -->
163const <a class="el" href="classbdm_1_1RV.html">RV</a> &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1epdf.html#aa4ab378d5e004c3ff3e2d4e64f7bba21">_rv</a> () const </td></tr>
164<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Return name (fails when isnamed is false). <br/></td></tr>
[270]165<tr><td colspan="2"><div class="groupHeader">Access to attributes</div></td></tr>
[591]166<tr><td colspan="2"><div class="groupText"><p><a class="anchor" id="amgrpb6eb094f9e6af11f8a7d9efa9d8e3623"></a> </p>
167<br/><br/></div></td></tr>
168<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a7083a65f7b7a0d0d13b2c516bd2ec29c"></a><!-- doxytag: member="bdm::eEF::dimension" ref="a7083a65f7b7a0d0d13b2c516bd2ec29c" args="() const " -->
169int&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1epdf.html#a7083a65f7b7a0d0d13b2c516bd2ec29c">dimension</a> () const </td></tr>
170<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Size of the random variable. <br/></td></tr>
171<tr><td colspan="2"><h2>Protected Attributes</h2></td></tr>
172<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a16adac20ec7fe07e1ea0b27d917788ce"></a><!-- doxytag: member="bdm::eEF::dim" ref="a16adac20ec7fe07e1ea0b27d917788ce" args="" -->
173int&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1epdf.html#a16adac20ec7fe07e1ea0b27d917788ce">dim</a></td></tr>
174<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">dimension of the random variable <br/></td></tr>
175<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a62c5b8ff71d9ebe6cd58d3c342eb1dc8"></a><!-- doxytag: member="bdm::eEF::rv" ref="a62c5b8ff71d9ebe6cd58d3c342eb1dc8" args="" -->
176<a class="el" href="classbdm_1_1RV.html">RV</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1epdf.html#a62c5b8ff71d9ebe6cd58d3c342eb1dc8">rv</a></td></tr>
177<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Description of the random variable. <br/></td></tr>
[259]178</table>
[591]179<hr/><a name="_details"></a><h2>Detailed Description</h2>
180<p>General conjugate exponential family posterior density. </p>
181<p>More?... </p>
182<hr/><h2>Member Function Documentation</h2>
183<a class="anchor" id="afa9efc98a065b31c630fe18cc418f725"></a><!-- doxytag: member="bdm::eEF::from_setting" ref="afa9efc98a065b31c630fe18cc418f725" args="(const Setting &amp;set)" -->
[396]184<div class="memitem">
185<div class="memproto">
186      <table class="memname">
187        <tr>
[591]188          <td class="memname">void bdm::epdf::from_setting </td>
[396]189          <td>(</td>
190          <td class="paramtype">const Setting &amp;&nbsp;</td>
[591]191          <td class="paramname"> <em>set</em></td>
[396]192          <td>&nbsp;)&nbsp;</td>
193          <td><code> [inline, virtual, inherited]</code></td>
194        </tr>
195      </table>
[259]196</div>
[396]197<div class="memdoc">
[608]198
199<p>Load from structure with elements:. </p>
200<div class="fragment"><pre class="fragment">         { <a class="code" href="classbdm_1_1epdf.html#a62c5b8ff71d9ebe6cd58d3c342eb1dc8" title="Description of the random variable.">rv</a> = {<span class="keyword">class</span>=<span class="stringliteral">&quot;RV&quot;</span>, names=(...),}; <span class="comment">// RV describing meaning of random variable</span>
201           <span class="comment">// elements of offsprings</span>
202         }
[396]203</pre></div> 
[591]204<p>Reimplemented from <a class="el" href="classbdm_1_1root.html#a0551e3121091c5199bf4413b50522176">bdm::root</a>.</p>
[396]205
[608]206<p>Reimplemented in <a class="el" href="classbdm_1_1mexEpdf.html#af371482ea8d21c8ac01f011b3d942298">bdm::mexEpdf</a>, <a class="el" href="classbdm_1_1enorm.html#a61bd470764020bea6e1ed35000f259e6">bdm::enorm&lt; sq_T &gt;</a>, <a class="el" href="classbdm_1_1egiw.html#a55b76ec75bd2df5ef9cab3be20a33bbb">bdm::egiw</a>, <a class="el" href="classbdm_1_1egamma.html#a8a6fd1a1c0190f3e0d95a2a1f99aafc1">bdm::egamma</a>, <a class="el" href="classbdm_1_1euni.html#a77f5fef1f006fe056066da23b9e5f042">bdm::euni</a>, <a class="el" href="classbdm_1_1merger__base.html#a10dd390fc6f0d1733bb07cb51977160c">bdm::merger_base</a>, <a class="el" href="classbdm_1_1merger__mix.html#a9f12b2c66344e25e6b3ef0255d000478">bdm::merger_mix</a>, <a class="el" href="classbdm_1_1enorm.html#a61bd470764020bea6e1ed35000f259e6">bdm::enorm&lt; ldmat &gt;</a>, <a class="el" href="classbdm_1_1enorm.html#a61bd470764020bea6e1ed35000f259e6">bdm::enorm&lt; chmat &gt;</a>, and <a class="el" href="classbdm_1_1enorm.html#a61bd470764020bea6e1ed35000f259e6">bdm::enorm&lt; fsqmat &gt;</a>.</p>
[396]207
[614]208<p>References <a class="el" href="bdmbase_8h_source.html#l00416">bdm::epdf::set_rv()</a>.</p>
[396]209
210</div>
[397]211</div>
[591]212<hr/>The documentation for this class was generated from the following file:<ul>
213<li><a class="el" href="exp__family_8h_source.html">exp_family.h</a></li>
214</ul>
215</div>
[614]216<hr size="1"/><address style="text-align: right;"><small>Generated on Sun Sep 13 22:40:44 2009 for mixpp by&nbsp;
[259]217<a href="http://www.doxygen.org/index.html">
[591]218<img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.6.1 </small></address>
[259]219</body>
220</html>
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