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Timestamp:
02/16/09 10:02:08 (16 years ago)
Author:
smidl
Message:

Changes in the very root classes!
* rv and rvc are no longer compulsory,
* samplecond does not return ll
* BM has drv

Files:
1 modified

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  • doc/html/classbdm_1_1EKFful__unQR.html

    r269 r270  
    2929</div> 
    3030<div class="contents"> 
    31 <h1>bdm::EKFful_unQR Class Reference</h1><!-- doxytag: class="bdm::EKFful_unQR" --><!-- doxytag: inherits="bdm::EKFfull,bdm::BMcond" -->Extended <a class="el" href="classbdm_1_1Kalman.html" title="Kalman filter with covariance matrices in square root form.">Kalman</a> filter with unknown <code>Q</code> and <code>R</code>.   
    32 <a href="#_details">More...</a> 
    33 <p> 
    34 <code>#include &lt;<a class="el" href="ekf__templ_8h-source.html">ekf_templ.h</a>&gt;</code> 
     31<h1>bdm::EKFful_unQR Class Reference</h1><!-- doxytag: class="bdm::EKFful_unQR" --><!-- doxytag: inherits="bdm::EKFfull,bdm::BMcond" --><code>#include &lt;<a class="el" href="ekf__templ_8h-source.html">ekf_templ.h</a>&gt;</code> 
    3532<p> 
    3633<div class="dynheader"> 
     
    4138<area shape="rect" href="classbdm_1_1EKFfull.html" title="Extended Kalman Filter in full matrices." alt="" coords="92,161,191,188"><area shape="rect" href="classbdm_1_1KalmanFull.html" title="Basic Kalman filter with full matrices (education purpose only)! Will be deleted..." alt="" coords="5,84,131,111"><area shape="rect" href="classbdm_1_1BM.html" title="Bayesian Model of a system, i.e. all uncertainty is modeled by probabilities." alt="" coords="155,84,232,111"><area shape="rect" href="classbdm_1_1bdmroot.html" title="Root class of BDM objects." alt="" coords="175,7,287,33"><area shape="rect" href="classbdm_1_1BMcond.html" title="Conditional Bayesian Filter." alt="" coords="215,161,324,188"></map> 
    4239<center><font size="2">[<a href="graph_legend.html">legend</a>]</font></center></div> 
    43 <div class="dynheader"> 
    44 Collaboration diagram for bdm::EKFful_unQR:</div> 
    45 <div class="dynsection"> 
    46 <p><center><img src="classbdm_1_1EKFful__unQR__coll__graph.png" border="0" usemap="#bdm_1_1EKFful__unQR__coll__map" alt="Collaboration graph"></center> 
    47 <map name="bdm_1_1EKFful__unQR__coll__map"> 
    48 <area shape="rect" href="classbdm_1_1EKFfull.html" title="Extended Kalman Filter in full matrices." alt="" coords="155,572,253,599"><area shape="rect" href="classbdm_1_1KalmanFull.html" title="Basic Kalman filter with full matrices (education purpose only)! Will be deleted..." alt="" coords="141,476,267,503"><area shape="rect" href="classbdm_1_1BM.html" title="Bayesian Model of a system, i.e. all uncertainty is modeled by probabilities." alt="" coords="5,199,83,225"><area shape="rect" href="classbdm_1_1bdmroot.html" title="Root class of BDM objects." alt="" coords="188,7,300,33"><area shape="rect" href="classbdm_1_1RV.html" title="Class representing variables, most often random variables." alt="" coords="207,87,281,113"><area shape="rect" href="classbdm_1_1fnc.html" title="Class representing function &#160;of variable &#160;represented by rv." alt="" coords="105,87,183,113"><area shape="rect" href="classbdm_1_1epdf.html" title="Probability density function with numerical statistics, e.g. posterior density." alt="" coords="245,199,331,225"><area shape="rect" href="classbdm_1_1BMcond.html" title="Conditional Bayesian Filter." alt="" coords="355,199,464,225"><area shape="rect" href="classbdm_1_1diffbifn.html" title="Class representing a differentiable function of two variables ." alt="" coords="107,199,205,225"><area shape="rect" href="classbdm_1_1enorm.html" title="bdm::enorm\&lt; fsqmat \&gt;" alt="" coords="291,476,467,503"><area shape="rect" href="classbdm_1_1eEF.html" title="General conjugate exponential family posterior density." alt="" coords="253,279,333,305"><area shape="rect" href="classbdm_1_1enorm.html" title="Gaussian density with positive definite (decomposed) covariance matrix." alt="" coords="307,377,467,404"><area shape="rect" href="classfsqmat.html" title="Fake sqmat. This class maps sqmat operations to operations on full matrix." alt="" coords="165,377,232,404"><area shape="rect" href="classsqmat.html" title="Virtual class for representation of double symmetric matrices in square&#45;root form..." alt="" coords="168,279,229,305"></map> 
    49 <center><font size="2">[<a href="graph_legend.html">legend</a>]</font></center></div> 
    50  
    51 <p> 
    52 <a href="classbdm_1_1EKFful__unQR-members.html">List of all members.</a><table border="0" cellpadding="0" cellspacing="0"> 
     40 
     41<p> 
     42<a href="classbdm_1_1EKFful__unQR-members.html">List of all members.</a><hr><a name="_details"></a><h2>Detailed Description</h2> 
     43Extended <a class="el" href="classbdm_1_1Kalman.html" title="Kalman filter with covariance matrices in square root form.">Kalman</a> filter with unknown <code>Q</code> and <code>R</code>. <table border="0" cellpadding="0" cellspacing="0"> 
    5344<tr><td></td></tr> 
    5445<tr><td colspan="2"><br><h2>Public Member Functions</h2></td></tr> 
     
    7869<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">dummy! <br></td></tr> 
    7970<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="3d0e427d4d2fb7ac20358ce629f5d510"></a><!-- doxytag: member="bdm::EKFful_unQR::_e" ref="3d0e427d4d2fb7ac20358ce629f5d510" args="() const " --> 
    80 const <a class="el" href="classbdm_1_1enorm.html">enorm</a>&lt; <a class="el" href="classfsqmat.html">fsqmat</a> &gt; *&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1EKFfull.html#3d0e427d4d2fb7ac20358ce629f5d510">_e</a> () const </td></tr> 
    81  
    82 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Returns a pointer to the <a class="el" href="classbdm_1_1epdf.html" title="Probability density function with numerical statistics, e.g. posterior density.">epdf</a> representing posterior density on parameters. Use with care! <br></td></tr> 
     71const <a class="el" href="classbdm_1_1enorm.html">enorm</a>&lt; <a class="el" href="classfsqmat.html">fsqmat</a> &gt; *&nbsp;</td><td class="memItemRight" valign="bottom"><b>_e</b> () const </td></tr> 
     72 
    8373<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="d4f57cb8af64b06c530f528c32596d4d"></a><!-- doxytag: member="bdm::EKFful_unQR::_R" ref="d4f57cb8af64b06c530f528c32596d4d" args="()" --> 
    8474const mat&nbsp;</td><td class="memItemRight" valign="bottom"><b>_R</b> ()</td></tr> 
    8575 
     76<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="7506910f93250b44fea505ec4ffb19dc"></a><!-- doxytag: member="bdm::EKFful_unQR::_rvc" ref="7506910f93250b44fea505ec4ffb19dc" args="() const " --> 
     77const <a class="el" href="classbdm_1_1RV.html">RV</a> &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1BMcond.html#7506910f93250b44fea505ec4ffb19dc">_rvc</a> () const </td></tr> 
     78 
     79<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">access function <br></td></tr> 
     80<tr><td colspan="2"><div class="groupHeader">Constructors</div></td></tr> 
     81<tr><td class="memItemLeft" nowrap align="right" valign="top">virtual <a class="el" href="classbdm_1_1BM.html">BM</a> *&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1BM.html#c0f027ff91d8459937c6f60ff8e553ff">_copy_</a> ()</td></tr> 
     82 
     83<tr><td colspan="2"><div class="groupHeader">Mathematical operations</div></td></tr> 
    8684<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="1dee3fddaf021e62d925289660a707dc"></a><!-- doxytag: member="bdm::EKFful_unQR::bayesB" ref="1dee3fddaf021e62d925289660a707dc" args="(const mat &amp;Dt)" --> 
    8785virtual void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1BM.html#1dee3fddaf021e62d925289660a707dc">bayesB</a> (const mat &amp;Dt)</td></tr> 
     
    9492 
    9593<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Matrix version of logpred. <br></td></tr> 
    96 <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="710e7d69c0d8791fb41a7cd4683cca2c"></a><!-- doxytag: member="bdm::EKFful_unQR::predictor" ref="710e7d69c0d8791fb41a7cd4683cca2c" args="(const RV &amp;rv) const " --> 
    97 virtual <a class="el" href="classbdm_1_1epdf.html">epdf</a> *&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1BM.html#710e7d69c0d8791fb41a7cd4683cca2c">predictor</a> (const <a class="el" href="classbdm_1_1RV.html">RV</a> &amp;<a class="el" href="classbdm_1_1BM.html#18d6db4af8ee42077741d9e3618153ca">rv</a>) const </td></tr> 
    98  
    99 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Constructs a predictive density (marginal density on data). <br></td></tr> 
    100 <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="40a3c891996391e3135518053a917793"></a><!-- doxytag: member="bdm::EKFful_unQR::_rv" ref="40a3c891996391e3135518053a917793" args="() const " --> 
    101 const <a class="el" href="classbdm_1_1RV.html">RV</a> &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1BM.html#40a3c891996391e3135518053a917793">_rv</a> () const </td></tr> 
    102  
    103 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">access function <br></td></tr> 
     94<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="688d7a2aced1e06aa1c468d73a9e5eba"></a><!-- doxytag: member="bdm::EKFful_unQR::epredictor" ref="688d7a2aced1e06aa1c468d73a9e5eba" args="() const " --> 
     95virtual <a class="el" href="classbdm_1_1epdf.html">epdf</a> *&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1BM.html#688d7a2aced1e06aa1c468d73a9e5eba">epredictor</a> () const </td></tr> 
     96 
     97<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Constructs a predictive density <img class="formulaInl" alt="$ f(d_{t+1} |d_{t}, \ldots d_{0}) $" src="form_112.png">. <br></td></tr> 
     98<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="598b25e3f3d96a5bc00a5faeb5b3c912"></a><!-- doxytag: member="bdm::EKFful_unQR::predictor" ref="598b25e3f3d96a5bc00a5faeb5b3c912" args="() const " --> 
     99virtual <a class="el" href="classbdm_1_1mpdf.html">mpdf</a> *&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1BM.html#598b25e3f3d96a5bc00a5faeb5b3c912">predictor</a> () const </td></tr> 
     100 
     101<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Constructs a conditional density 1-step ahead predictor. <br></td></tr> 
     102<tr><td colspan="2"><div class="groupHeader">Access to attributes</div></td></tr> 
    104103<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="ff2d8755ba0b3def927d31305c03b09c"></a><!-- doxytag: member="bdm::EKFful_unQR::_drv" ref="ff2d8755ba0b3def927d31305c03b09c" args="() const " --> 
    105 const <a class="el" href="classbdm_1_1RV.html">RV</a> &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1BM.html#ff2d8755ba0b3def927d31305c03b09c">_drv</a> () const </td></tr> 
    106  
    107 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">access function <br></td></tr> 
     104const <a class="el" href="classbdm_1_1RV.html">RV</a> &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><b>_drv</b> () const </td></tr> 
     105 
    108106<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="f135ae6dce7e9f30c9f88229c7930b96"></a><!-- doxytag: member="bdm::EKFful_unQR::set_drv" ref="f135ae6dce7e9f30c9f88229c7930b96" args="(const RV &amp;rv)" --> 
    109 void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1BM.html#f135ae6dce7e9f30c9f88229c7930b96">set_drv</a> (const <a class="el" href="classbdm_1_1RV.html">RV</a> &amp;<a class="el" href="classbdm_1_1BM.html#18d6db4af8ee42077741d9e3618153ca">rv</a>)</td></tr> 
    110  
    111 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">set drv <br></td></tr> 
     107void&nbsp;</td><td class="memItemRight" valign="bottom"><b>set_drv</b> (const <a class="el" href="classbdm_1_1RV.html">RV</a> &amp;rv)</td></tr> 
     108 
    112109<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="5be65d37dedfe33a3671e7065f523a70"></a><!-- doxytag: member="bdm::EKFful_unQR::_ll" ref="5be65d37dedfe33a3671e7065f523a70" args="() const " --> 
    113 double&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1BM.html#5be65d37dedfe33a3671e7065f523a70">_ll</a> () const </td></tr> 
    114  
    115 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">access function <br></td></tr> 
     110double&nbsp;</td><td class="memItemRight" valign="bottom"><b>_ll</b> () const </td></tr> 
     111 
    116112<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="236b3abbcc93594fc97cd86d82c1a83f"></a><!-- doxytag: member="bdm::EKFful_unQR::set_evalll" ref="236b3abbcc93594fc97cd86d82c1a83f" args="(bool evl0)" --> 
    117 void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1BM.html#236b3abbcc93594fc97cd86d82c1a83f">set_evalll</a> (bool evl0)</td></tr> 
    118  
    119 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">access function <br></td></tr> 
    120 <tr><td class="memItemLeft" nowrap align="right" valign="top">virtual <a class="el" href="classbdm_1_1BM.html">BM</a> *&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1BM.html#3efb3098172f1f67564a312fe732473e">_copy_</a> (bool changerv=false)</td></tr> 
    121  
    122 <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="7506910f93250b44fea505ec4ffb19dc"></a><!-- doxytag: member="bdm::EKFful_unQR::_rvc" ref="7506910f93250b44fea505ec4ffb19dc" args="() const " --> 
    123 const <a class="el" href="classbdm_1_1RV.html">RV</a> &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1BMcond.html#7506910f93250b44fea505ec4ffb19dc">_rvc</a> () const </td></tr> 
    124  
    125 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">access function <br></td></tr> 
     113void&nbsp;</td><td class="memItemRight" valign="bottom"><b>set_evalll</b> (bool evl0)</td></tr> 
     114 
    126115<tr><td colspan="2"><br><h2>Public Attributes</h2></td></tr> 
    127116<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="2defb75e58892615c5f95fd844f3a666"></a><!-- doxytag: member="bdm::EKFful_unQR::mu" ref="2defb75e58892615c5f95fd844f3a666" args="" --> 
     
    187176 
    188177<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Logarithm of marginalized data likelihood. <br></td></tr> 
    189 <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="18d6db4af8ee42077741d9e3618153ca"></a><!-- doxytag: member="bdm::EKFful_unQR::rv" ref="18d6db4af8ee42077741d9e3618153ca" args="" --> 
    190 <a class="el" href="classbdm_1_1RV.html">RV</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1BM.html#18d6db4af8ee42077741d9e3618153ca">rv</a></td></tr> 
    191  
    192 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Random variable of the posterior. <br></td></tr> 
    193178<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="c400357e37d27a4834b2b1d9211009ed"></a><!-- doxytag: member="bdm::EKFful_unQR::drv" ref="c400357e37d27a4834b2b1d9211009ed" args="" --> 
    194179<a class="el" href="classbdm_1_1RV.html">RV</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1BM.html#c400357e37d27a4834b2b1d9211009ed">drv</a></td></tr> 
     
    205190<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">print elements of KF <br></td></tr> 
    206191</table> 
    207 <hr><a name="_details"></a><h2>Detailed Description</h2> 
    208 Extended <a class="el" href="classbdm_1_1Kalman.html" title="Kalman filter with covariance matrices in square root form.">Kalman</a> filter with unknown <code>Q</code> and <code>R</code>. <hr><h2>Member Function Documentation</h2> 
     192<hr><h2>Member Function Documentation</h2> 
     193<a class="anchor" name="c0f027ff91d8459937c6f60ff8e553ff"></a><!-- doxytag: member="bdm::EKFful_unQR::_copy_" ref="c0f027ff91d8459937c6f60ff8e553ff" args="()" --> 
     194<div class="memitem"> 
     195<div class="memproto"> 
     196      <table class="memname"> 
     197        <tr> 
     198          <td class="memname">virtual <a class="el" href="classbdm_1_1BM.html">BM</a>* bdm::BM::_copy_           </td> 
     199          <td>(</td> 
     200          <td class="paramname">          </td> 
     201          <td>&nbsp;)&nbsp;</td> 
     202          <td><code> [inline, virtual, inherited]</code></td> 
     203        </tr> 
     204      </table> 
     205</div> 
     206<div class="memdoc"> 
     207 
     208<p> 
     209Copy function required in vectors, Arrays of <a class="el" href="classbdm_1_1BM.html" title="Bayesian Model of a system, i.e. all uncertainty is modeled by probabilities.">BM</a> etc. Have to be DELETED manually! Prototype: <div class="fragment"><pre class="fragment"> BM* <a class="code" href="classbdm_1_1BM.html#c0f027ff91d8459937c6f60ff8e553ff">_copy_</a>(){<span class="keywordflow">return</span> <span class="keyword">new</span> BM(*<span class="keyword">this</span>);}  
     210</pre></div>  
     211<p>Reimplemented in <a class="el" href="classbdm_1_1ARX.html#60c40b5c6abc4c7e464b4ccae64a5a61">bdm::ARX</a>.</p> 
     212 
     213</div> 
     214</div><p> 
    209215<a class="anchor" name="50257e0c1e5b5c73153ea6e716ad8ae0"></a><!-- doxytag: member="bdm::EKFful_unQR::logpred" ref="50257e0c1e5b5c73153ea6e716ad8ae0" args="(const vec &amp;dt) const " --> 
    210216<div class="memitem"> 
     
    227233<p>Reimplemented in <a class="el" href="classbdm_1_1ARX.html#080a7e531e3aa06694112863b15bc6a4">bdm::ARX</a>, <a class="el" href="classbdm_1_1MixEF.html#da724da464a75e07521941e430929efa">bdm::MixEF</a>, and <a class="el" href="classbdm_1_1multiBM.html#e157b607c1e3fa91d42aeea44458e2bf">bdm::multiBM</a>.</p> 
    228234 
    229 <p>Referenced by <a class="el" href="libBM_8h-source.html#l00535">bdm::BM::logpred_m()</a>.</p> 
    230  
    231 </div> 
    232 </div><p> 
    233 <a class="anchor" name="3efb3098172f1f67564a312fe732473e"></a><!-- doxytag: member="bdm::EKFful_unQR::_copy_" ref="3efb3098172f1f67564a312fe732473e" args="(bool changerv=false)" --> 
    234 <div class="memitem"> 
    235 <div class="memproto"> 
    236       <table class="memname"> 
    237         <tr> 
    238           <td class="memname">virtual <a class="el" href="classbdm_1_1BM.html">BM</a>* bdm::BM::_copy_           </td> 
    239           <td>(</td> 
    240           <td class="paramtype">bool&nbsp;</td> 
    241           <td class="paramname"> <em>changerv</em> = <code>false</code>          </td> 
    242           <td>&nbsp;)&nbsp;</td> 
    243           <td><code> [inline, virtual, inherited]</code></td> 
    244         </tr> 
    245       </table> 
    246 </div> 
    247 <div class="memdoc"> 
    248  
    249 <p> 
    250 Copy function required in vectors, Arrays of <a class="el" href="classbdm_1_1BM.html" title="Bayesian Model of a system, i.e. all uncertainty is modeled by probabilities.">BM</a> etc. Have to be DELETED manually! Prototype: BM* <a class="el" href="classbdm_1_1BM.html#3efb3098172f1f67564a312fe732473e">_copy_()</a>{<a class="el" href="classbdm_1_1BM.html" title="Bayesian Model of a system, i.e. all uncertainty is modeled by probabilities.">BM</a> Tmp*=new Tmp(this*); return Tmp; }  
    251 <p>Reimplemented in <a class="el" href="classbdm_1_1ARX.html#20ff2de8d862f28de7da83444d65bcdb">bdm::ARX</a>, and <a class="el" href="classbdm_1_1BMEF.html#5912dbcf28ae711e30b08c2fa766a3e6">bdm::BMEF</a>.</p> 
     235<p>Referenced by <a class="el" href="libBM_8h-source.html#l00608">bdm::BM::logpred_m()</a>.</p> 
    252236 
    253237</div> 
     
    256240<li><a class="el" href="ekf__templ_8h-source.html">ekf_templ.h</a></ul> 
    257241</div> 
    258 <hr size="1"><address style="text-align: right;"><small>Generated on Wed Feb 11 10:20:27 2009 for mixpp by&nbsp; 
     242<hr size="1"><address style="text-align: right;"><small>Generated on Wed Feb 11 23:34:01 2009 for mixpp by&nbsp; 
    259243<a href="http://www.doxygen.org/index.html"> 
    260244<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address>