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  • library/doc/html/classbdm_1_1emix.html

    r472 r538  
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    7272<p> 
    73 <code>#include &lt;<a class="el" href="emix_8h_source.html">emix.h</a>&gt;</code> 
     73<code>#include &lt;<a class="el" href="emix_8h-source.html">emix.h</a>&gt;</code> 
    7474<p> 
    7575 
     
    8282 
    8383<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Default constructor. <br></td></tr> 
    84 <tr><td class="memItemLeft" nowrap align="right" valign="top">void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1emix.html#3a107a6b808a081389ef17af951c234a">set_parameters</a> (const vec &amp;<a class="el" href="classbdm_1_1emix.html#bb7270345c76da627cd77ddf020bcf46">w</a>, const Array&lt; <a class="el" href="classbdm_1_1epdf.html">epdf</a> * &gt; &amp;<a class="el" href="classbdm_1_1emix.html#e2966a6a44b250e22e55bc9fb6af5c3e">Coms</a>, bool copy=false)</td></tr> 
     84<tr><td class="memItemLeft" nowrap align="right" valign="top">void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1emix.html#10b4e0c45dd8f7d78f73e325382c6922">set_parameters</a> (const vec &amp;<a class="el" href="classbdm_1_1emix.html#bb7270345c76da627cd77ddf020bcf46">w</a>, const Array&lt; <a class="el" href="classbdm_1_1shared__ptr.html">shared_ptr</a>&lt; <a class="el" href="classbdm_1_1epdf.html">epdf</a> &gt; &gt; &amp;<a class="el" href="classbdm_1_1emix.html#866e75dacba151942ead95104e57a897">Coms</a>)</td></tr> 
    8585 
    8686<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="e8839dbbb0d1276a8dbe957a67cfe0dc"></a><!-- doxytag: member="bdm::emix::sample" ref="e8839dbbb0d1276a8dbe957a67cfe0dc" args="() const " --> 
     
    106106 
    107107<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Auxiliary function that returns pdflog for each component. <br></td></tr> 
    108 <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="f7165371cc4f7be9292024b9f5431646"></a><!-- doxytag: member="bdm::emix::marginal" ref="f7165371cc4f7be9292024b9f5431646" args="(const RV &amp;rv) const " --> 
    109 <a class="el" href="classbdm_1_1emix.html">emix</a> *&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1emix.html#f7165371cc4f7be9292024b9f5431646">marginal</a> (const <a class="el" href="classbdm_1_1RV.html">RV</a> &amp;<a class="el" href="classbdm_1_1epdf.html#62c5b8ff71d9ebe6cd58d3c342eb1dc8">rv</a>) const </td></tr> 
     108<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="4edf5ceb3179a03f01b870c67eb53bb6"></a><!-- doxytag: member="bdm::emix::marginal" ref="4edf5ceb3179a03f01b870c67eb53bb6" args="(const RV &amp;rv) const " --> 
     109<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_1emix.html#4edf5ceb3179a03f01b870c67eb53bb6">marginal</a> (const <a class="el" href="classbdm_1_1RV.html">RV</a> &amp;<a class="el" href="classbdm_1_1epdf.html#62c5b8ff71d9ebe6cd58d3c342eb1dc8">rv</a>) const </td></tr> 
    110110 
    111111<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> 
    112 <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="fc7772a2972959cf19ba26882feacecf"></a><!-- doxytag: member="bdm::emix::condition" ref="fc7772a2972959cf19ba26882feacecf" args="(const RV &amp;rv) const " --> 
    113 <a class="el" href="classbdm_1_1mratio.html">mratio</a> *&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1emix.html#fc7772a2972959cf19ba26882feacecf">condition</a> (const <a class="el" href="classbdm_1_1RV.html">RV</a> &amp;<a class="el" href="classbdm_1_1epdf.html#62c5b8ff71d9ebe6cd58d3c342eb1dc8">rv</a>) const </td></tr> 
     112<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="d4ee18c3cdb5f35467f3bfc373c8544f"></a><!-- doxytag: member="bdm::emix::marginal" ref="d4ee18c3cdb5f35467f3bfc373c8544f" args="(const RV &amp;rv, emix &amp;target) const " --> 
     113void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1emix.html#d4ee18c3cdb5f35467f3bfc373c8544f">marginal</a> (const <a class="el" href="classbdm_1_1RV.html">RV</a> &amp;<a class="el" href="classbdm_1_1epdf.html#62c5b8ff71d9ebe6cd58d3c342eb1dc8">rv</a>, <a class="el" href="classbdm_1_1emix.html">emix</a> &amp;target) const </td></tr> 
     114 
     115<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Update already existing marginal density <code>target</code>. <br></td></tr> 
     116<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="4176e4dc11980db4200b9fab54402a09"></a><!-- doxytag: member="bdm::emix::condition" ref="4176e4dc11980db4200b9fab54402a09" args="(const RV &amp;rv) const " --> 
     117<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_1emix.html#4176e4dc11980db4200b9fab54402a09">condition</a> (const <a class="el" href="classbdm_1_1RV.html">RV</a> &amp;<a class="el" href="classbdm_1_1epdf.html#62c5b8ff71d9ebe6cd58d3c342eb1dc8">rv</a>) const </td></tr> 
    114118 
    115119<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> 
     
    118122 
    119123<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">returns a pointer to the internal mean value. Use with Care! <br></td></tr> 
    120 <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="965fb16669250a3d28bc62cf76276d8e"></a><!-- doxytag: member="bdm::emix::ownComs" ref="965fb16669250a3d28bc62cf76276d8e" args="()" --> 
    121 void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1emix.html#965fb16669250a3d28bc62cf76276d8e">ownComs</a> ()</td></tr> 
    122  
    123 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Auxiliary function for taking ownership of the <a class="el" href="classbdm_1_1emix.html#e2966a6a44b250e22e55bc9fb6af5c3e" title="Component (epdfs).">Coms()</a>. <br></td></tr> 
    124 <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="578616445243674438257be99ba71612"></a><!-- doxytag: member="bdm::emix::_Coms" ref="578616445243674438257be99ba71612" args="(int i)" --> 
    125 <a class="el" href="classbdm_1_1epdf.html">epdf</a> *&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1emix.html#578616445243674438257be99ba71612">_Coms</a> (int i)</td></tr> 
     124<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="579437ba18bf9975b3084e10bfe1b727"></a><!-- doxytag: member="bdm::emix::_Coms" ref="579437ba18bf9975b3084e10bfe1b727" args="(int i)" --> 
     125<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_1emix.html#579437ba18bf9975b3084e10bfe1b727">_Coms</a> (int i)</td></tr> 
    126126 
    127127<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">access function <br></td></tr> 
     
    150150</ul> 
    151151The following constructors should be supported for convenience: <ul> 
    152 <li>constructor followed by calling <code><a class="el" href="classbdm_1_1emix.html#3a107a6b808a081389ef17af951c234a">set_parameters()</a></code> </li> 
     152<li>constructor followed by calling <code><a class="el" href="classbdm_1_1emix.html#10b4e0c45dd8f7d78f73e325382c6922">set_parameters()</a></code> </li> 
    153153<li>constructor accepting random variables calling <code><a class="el" href="classbdm_1_1emix.html#04a8632cfa9299ae937228eb732fd61e" title="Name its rv.">set_rv()</a></code> </li> 
    154154</ul> 
    155 All internal data structures are constructed as empty. Their values (including sizes) will be set by method <code><a class="el" href="classbdm_1_1emix.html#3a107a6b808a081389ef17af951c234a">set_parameters()</a></code>. This way references can be initialized in constructors. <br><br></div></td></tr> 
     155All internal data structures are constructed as empty. Their values (including sizes) will be set by method <code><a class="el" href="classbdm_1_1emix.html#10b4e0c45dd8f7d78f73e325382c6922">set_parameters()</a></code>. This way references can be initialized in constructors. <br><br></div></td></tr> 
    156156<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="840de94aa33cf4f2ebd2427f45a165d8"></a><!-- doxytag: member="bdm::emix::set_parameters" ref="840de94aa33cf4f2ebd2427f45a165d8" args="(int dim0)" --> 
    157157void&nbsp;</td><td class="memItemRight" valign="bottom"><b>set_parameters</b> (int dim0)</td></tr> 
     
    162162 
    163163<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Returns N samples, <img class="formulaInl" alt="$ [x_1 , x_2 , \ldots \ $" src="form_9.png"> from density <img class="formulaInl" alt="$ f_x(rv)$" src="form_10.png">. <br></td></tr> 
    164 <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="512dbf057299e871fbc61ed55acb5888"></a><!-- doxytag: member="bdm::emix::evallog_m" ref="512dbf057299e871fbc61ed55acb5888" args="(const Array&lt; vec &gt; &amp;Avec) const " --> 
    165 virtual vec&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1epdf.html#512dbf057299e871fbc61ed55acb5888">evallog_m</a> (const Array&lt; vec &gt; &amp;Avec) const </td></tr> 
     164<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="9bc02dae61584138443baf6b1cbc1ac9"></a><!-- doxytag: member="bdm::emix::evallog_m" ref="9bc02dae61584138443baf6b1cbc1ac9" args="(const Array&lt; vec &gt; &amp;Avec) const " --> 
     165virtual vec&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1epdf.html#9bc02dae61584138443baf6b1cbc1ac9">evallog_m</a> (const Array&lt; vec &gt; &amp;Avec) const </td></tr> 
    166166 
    167167<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Compute log-probability of multiple values argument <code>val</code>. <br></td></tr> 
     
    190190 
    191191<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">weights of the components <br></td></tr> 
    192 <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="e2966a6a44b250e22e55bc9fb6af5c3e"></a><!-- doxytag: member="bdm::emix::Coms" ref="e2966a6a44b250e22e55bc9fb6af5c3e" args="" --> 
    193 Array&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_1emix.html#e2966a6a44b250e22e55bc9fb6af5c3e">Coms</a></td></tr> 
     192<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="866e75dacba151942ead95104e57a897"></a><!-- doxytag: member="bdm::emix::Coms" ref="866e75dacba151942ead95104e57a897" args="" --> 
     193Array&lt; <a class="el" href="classbdm_1_1shared__ptr.html">shared_ptr</a>&lt; <a class="el" href="classbdm_1_1epdf.html">epdf</a> &gt; &gt;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1emix.html#866e75dacba151942ead95104e57a897">Coms</a></td></tr> 
    194194 
    195195<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Component (epdfs). <br></td></tr> 
    196 <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="47189df41a4616c2fed5972f015743f4"></a><!-- doxytag: member="bdm::emix::destroyComs" ref="47189df41a4616c2fed5972f015743f4" args="" --> 
    197 bool&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1emix.html#47189df41a4616c2fed5972f015743f4">destroyComs</a></td></tr> 
    198  
    199 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Flag if owning Coms. <br></td></tr> 
    200196<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="16adac20ec7fe07e1ea0b27d917788ce"></a><!-- doxytag: member="bdm::emix::dim" ref="16adac20ec7fe07e1ea0b27d917788ce" args="" --> 
    201197int&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1epdf.html#16adac20ec7fe07e1ea0b27d917788ce">dim</a></td></tr> 
     
    234230<p>Reimplemented from <a class="el" href="classbdm_1_1epdf.html#deab266d63c236c277538867d5c3f249">bdm::epdf</a>.</p> 
    235231 
    236 <p>References <a class="el" href="emix_8h_source.html#l00096">Coms</a>, and <a class="el" href="emix_8h_source.html#l00094">w</a>.</p> 
     232<p>References <a class="el" href="emix_8h-source.html#l00110">Coms</a>, and <a class="el" href="emix_8h-source.html#l00108">w</a>.</p> 
     233 
     234<p>Referenced by <a class="el" href="merger_8cpp-source.html#l00064">bdm::merger_mix::merge()</a>.</p> 
    237235 
    238236</div> 
     
    261259<p>Reimplemented from <a class="el" href="classbdm_1_1root.html#0551e3121091c5199bf4413b50522176">bdm::root</a>.</p> 
    262260 
    263 <p>Reimplemented in <a class="el" href="classbdm_1_1enorm.html#61bd470764020bea6e1ed35000f259e6">bdm::enorm&lt; sq_T &gt;</a>, <a class="el" href="classbdm_1_1egiw.html#55b76ec75bd2df5ef9cab3be20a33bbb">bdm::egiw</a>, <a class="el" href="classbdm_1_1egamma.html#8a6fd1a1c0190f3e0d95a2a1f99aafc1">bdm::egamma</a>, <a class="el" href="classbdm_1_1euni.html#77f5fef1f006fe056066da23b9e5f042">bdm::euni</a>, <a class="el" href="classbdm_1_1merger__base.html#10dd390fc6f0d1733bb07cb51977160c">bdm::merger_base</a>, <a class="el" href="classbdm_1_1enorm.html#61bd470764020bea6e1ed35000f259e6">bdm::enorm&lt; ldmat &gt;</a>, <a class="el" href="classbdm_1_1enorm.html#61bd470764020bea6e1ed35000f259e6">bdm::enorm&lt; chmat &gt;</a>, and <a class="el" href="classbdm_1_1enorm.html#61bd470764020bea6e1ed35000f259e6">bdm::enorm&lt; fsqmat &gt;</a>.</p> 
    264  
    265 <p>References <a class="el" href="bdmbase_8h_source.html#l00312">bdm::epdf::set_rv()</a>.</p> 
     261<p>Reimplemented in <a class="el" href="classbdm_1_1enorm.html#61bd470764020bea6e1ed35000f259e6">bdm::enorm&lt; sq_T &gt;</a>, <a class="el" href="classbdm_1_1egiw.html#55b76ec75bd2df5ef9cab3be20a33bbb">bdm::egiw</a>, <a class="el" href="classbdm_1_1egamma.html#8a6fd1a1c0190f3e0d95a2a1f99aafc1">bdm::egamma</a>, <a class="el" href="classbdm_1_1euni.html#77f5fef1f006fe056066da23b9e5f042">bdm::euni</a>, <a class="el" href="classbdm_1_1merger__base.html#10dd390fc6f0d1733bb07cb51977160c">bdm::merger_base</a>, <a class="el" href="classbdm_1_1merger__mix.html#9f12b2c66344e25e6b3ef0255d000478">bdm::merger_mix</a>, <a class="el" href="classbdm_1_1enorm.html#61bd470764020bea6e1ed35000f259e6">bdm::enorm&lt; ldmat &gt;</a>, <a class="el" href="classbdm_1_1enorm.html#61bd470764020bea6e1ed35000f259e6">bdm::enorm&lt; chmat &gt;</a>, and <a class="el" href="classbdm_1_1enorm.html#61bd470764020bea6e1ed35000f259e6">bdm::enorm&lt; fsqmat &gt;</a>.</p> 
     262 
     263<p>References <a class="el" href="bdmbase_8h-source.html#l00353">bdm::epdf::set_rv()</a>.</p> 
    266264 
    267265</div> 
    268266</div><p> 
    269 <a class="anchor" name="3a107a6b808a081389ef17af951c234a"></a><!-- doxytag: member="bdm::emix::set_parameters" ref="3a107a6b808a081389ef17af951c234a" args="(const vec &amp;w, const Array&lt; epdf * &gt; &amp;Coms, bool copy=false)" --> 
     267<a class="anchor" name="10b4e0c45dd8f7d78f73e325382c6922"></a><!-- doxytag: member="bdm::emix::set_parameters" ref="10b4e0c45dd8f7d78f73e325382c6922" args="(const vec &amp;w, const Array&lt; shared_ptr&lt; epdf &gt; &gt; &amp;Coms)" --> 
    270268<div class="memitem"> 
    271269<div class="memproto"> 
     
    280278          <td class="paramkey"></td> 
    281279          <td></td> 
    282           <td class="paramtype">const Array&lt; <a class="el" href="classbdm_1_1epdf.html">epdf</a> * &gt; &amp;&nbsp;</td> 
    283           <td class="paramname"> <em>Coms</em>, </td> 
    284         </tr> 
    285         <tr> 
    286           <td class="paramkey"></td> 
    287           <td></td> 
    288           <td class="paramtype">bool&nbsp;</td> 
    289           <td class="paramname"> <em>copy</em> = <code>false</code></td><td>&nbsp;</td> 
     280          <td class="paramtype">const Array&lt; <a class="el" href="classbdm_1_1shared__ptr.html">shared_ptr</a>&lt; <a class="el" href="classbdm_1_1epdf.html">epdf</a> &gt; &gt; &amp;&nbsp;</td> 
     281          <td class="paramname"> <em>Coms</em></td><td>&nbsp;</td> 
    290282        </tr> 
    291283        <tr> 
     
    299291 
    300292<p> 
    301 Set weights <code>w</code> and components <code>Coms</code> By default Coms are copied inside. Parameter <code>copy</code> can be set to false if Coms live externally. Use method <a class="el" href="classbdm_1_1emix.html#965fb16669250a3d28bc62cf76276d8e" title="Auxiliary function for taking ownership of the Coms().">ownComs()</a> if Coms should be destroyed by the destructor.  
    302 <p>References <a class="el" href="bdmbase_8h_source.html#l00316">bdm::epdf::_rv()</a>, <a class="el" href="emix_8h_source.html#l00096">Coms</a>, <a class="el" href="emix_8h_source.html#l00098">destroyComs</a>, <a class="el" href="bdmbase_8h_source.html#l00241">bdm::epdf::dim</a>, <a class="el" href="bdmbase_8h_source.html#l00323">bdm::epdf::dimension()</a>, <a class="el" href="bdmbase_8cpp_source.html#l00129">bdm::RV::equal()</a>, <a class="el" href="bdmbase_8h_source.html#l00314">bdm::epdf::isnamed()</a>, <a class="el" href="emix_8h_source.html#l00156">set_rv()</a>, and <a class="el" href="emix_8h_source.html#l00094">w</a>.</p> 
    303  
    304 <p>Referenced by <a class="el" href="mixtures_8cpp_source.html#l00138">bdm::MixEF::epredictor()</a>, <a class="el" href="emix_8cpp_source.html#l00109">bdm::egiwmix::marginal()</a>, and <a class="el" href="emix_8cpp_source.html#l00043">marginal()</a>.</p> 
     293Set weights <code>w</code> and components <code>Coms</code> By default Coms are copied inside. Parameter <code>copy</code> can be set to false if Coms live externally. Use method ownComs() if Coms should be destroyed by the destructor.  
     294<p>References <a class="el" href="bdmbase_8h-source.html#l00362">bdm::epdf::_rv()</a>, <a class="el" href="emix_8h-source.html#l00110">Coms</a>, <a class="el" href="bdmbase_8h-source.html#l00269">bdm::epdf::dim</a>, <a class="el" href="bdmbase_8h-source.html#l00372">bdm::epdf::dimension()</a>, <a class="el" href="bdmbase_8cpp-source.html#l00132">bdm::RV::equal()</a>, <a class="el" href="bdmbase_8h-source.html#l00357">bdm::epdf::isnamed()</a>, <a class="el" href="emix_8h-source.html#l00182">set_rv()</a>, and <a class="el" href="emix_8h-source.html#l00108">w</a>.</p> 
     295 
     296<p>Referenced by <a class="el" href="mixtures_8cpp-source.html#l00143">bdm::MixEF::epredictor()</a>, and <a class="el" href="emix_8cpp-source.html#l00045">marginal()</a>.</p> 
    305297 
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    307299</div><p> 
    308300<hr>The documentation for this class was generated from the following files:<ul> 
    309 <li><a class="el" href="emix_8h_source.html">emix.h</a><li>emix.cpp</ul> 
    310 </div> 
    311 <hr size="1"><address style="text-align: right;"><small>Generated on Wed Aug 5 00:07:00 2009 for mixpp by&nbsp; 
     301<li><a class="el" href="emix_8h-source.html">emix.h</a><li>emix.cpp</ul> 
     302</div> 
     303<hr size="1"><address style="text-align: right;"><small>Generated on Sun Aug 16 17:58:19 2009 for mixpp by&nbsp; 
    312304<a href="http://www.doxygen.org/index.html"> 
    313 <img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.9 </small></address> 
     305<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.8 </small></address> 
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