Show
Ignore:
Timestamp:
04/23/09 21:12:23 (15 years ago)
Author:
smidl
Message:

doc

Files:
1 modified

Legend:

Unmodified
Added
Removed

  • doc/html/model_8h-source.html

    r261 r323  
    22<html><head><meta http-equiv="Content-Type" content="text/html;charset=UTF-8"> 
    33<title>mixpp: model.h Source File</title> 
     4<link href="tabs.css" rel="stylesheet" type="text/css"> 
    45<link href="doxygen.css" rel="stylesheet" type="text/css"> 
    5 <link href="tabs.css" rel="stylesheet" type="text/css"> 
    66</head><body> 
    7 <!-- Generated by Doxygen 1.5.6 --> 
     7<!-- Generated by Doxygen 1.5.8 --> 
     8<script type="text/javascript"> 
     9<!-- 
     10function changeDisplayState (e){ 
     11  var num=this.id.replace(/[^[0-9]/g,''); 
     12  var button=this.firstChild; 
     13  var sectionDiv=document.getElementById('dynsection'+num); 
     14  if (sectionDiv.style.display=='none'||sectionDiv.style.display==''){ 
     15    sectionDiv.style.display='block'; 
     16    button.src='open.gif'; 
     17  }else{ 
     18    sectionDiv.style.display='none'; 
     19    button.src='closed.gif'; 
     20  } 
     21} 
     22function initDynSections(){ 
     23  var divs=document.getElementsByTagName('div'); 
     24  var sectionCounter=1; 
     25  for(var i=0;i<divs.length-1;i++){ 
     26    if(divs[i].className=='dynheader'&&divs[i+1].className=='dynsection'){ 
     27      var header=divs[i]; 
     28      var section=divs[i+1]; 
     29      var button=header.firstChild; 
     30      if (button!='IMG'){ 
     31        divs[i].insertBefore(document.createTextNode(' '),divs[i].firstChild); 
     32        button=document.createElement('img'); 
     33        divs[i].insertBefore(button,divs[i].firstChild); 
     34      } 
     35      header.style.cursor='pointer'; 
     36      header.onclick=changeDisplayState; 
     37      header.id='dynheader'+sectionCounter; 
     38      button.src='closed.gif'; 
     39      section.id='dynsection'+sectionCounter; 
     40      section.style.display='none'; 
     41      section.style.marginLeft='14px'; 
     42      sectionCounter++; 
     43    } 
     44  } 
     45} 
     46window.onload = initDynSections; 
     47--> 
     48</script> 
    849<div class="navigation" id="top"> 
    950  <div class="tabs"> 
    1051    <ul> 
    11       <li><a href="index.html"><span>Main&nbsp;Page</span></a></li> 
     52      <li><a href="main.html"><span>Main&nbsp;Page</span></a></li> 
    1253      <li><a href="pages.html"><span>Related&nbsp;Pages</span></a></li> 
    1354      <li><a href="modules.html"><span>Modules</span></a></li> 
    14       <li><a href="namespaces.html"><span>Namespaces</span></a></li> 
    15       <li><a href="classes.html"><span>Classes</span></a></li> 
     55      <li><a href="annotated.html"><span>Classes</span></a></li> 
    1656      <li class="current"><a href="files.html"><span>Files</span></a></li> 
     57    </ul> 
     58  </div> 
     59  <div class="tabs"> 
     60    <ul> 
     61      <li><a href="files.html"><span>File&nbsp;List</span></a></li> 
     62      <li><a href="globals.html"><span>File&nbsp;Members</span></a></li> 
    1763    </ul> 
    1864  </div> 
    … …  
    2470<a name="l00006"></a>00006 <span class="keyword">using namespace </span>bdm; 
    2571<a name="l00007"></a>00007  
    26 <a name="l00008"></a>00008 <span class="comment">//Tady se naplni "popis" jednotlivych nahodnych velicin na kterych se pracuje</span> 
    27 <a name="l00009"></a>00009 <span class="comment">// Moznosti je velmi mnoho (viz doc/html/index.html): napriklad</span> 
    28 <a name="l00010"></a>00010 <a class="code" href="classbdm_1_1RV.html" title="Class representing variables, most often random variables.">RV</a> RVstav ( <span class="stringliteral">"{stav }"</span>, <span class="stringliteral">"4"</span>);  <span class="comment">// Vyrabim stav velikosti 4</span> 
    29 <a name="l00011"></a>00011 <a class="code" href="classbdm_1_1RV.html" title="Class representing variables, most often random variables.">RV</a> RVut ( <span class="stringliteral">"{ut }"</span>, <span class="stringliteral">"2"</span>);     <span class="comment">// Vstup velikosti 2</span> 
    30 <a name="l00012"></a>00012 <a class="code" href="classbdm_1_1RV.html" title="Class representing variables, most often random variables.">RV</a> RVpozor ( <span class="stringliteral">"{I1 O1 }"</span>);     <span class="comment">//Vystup je intenzita a obsazenost</span> 
    31 <a name="l00013"></a>00013  
    32 <a name="l00015"></a><a class="code" href="classIMk1.html">00015</a> <span class="keyword">class </span><a class="code" href="classIMk1.html" title="Model stredni hodnoty vyvoje stavu pro k1.">IMk1</a> : <span class="keyword">public</span> <a class="code" href="classbdm_1_1diffbifn.html" title="Class representing a differentiable function of two variables .">diffbifn</a> { 
    33 <a name="l00016"></a>00016 <span class="keyword">protected</span>: 
    34 <a name="l00017"></a>00017         <span class="keywordtype">double</span> alp1, alp2; <span class="comment">// pomery odboceni...</span> 
     72<a name="l00009"></a><a class="code" href="classIMk1.html">00009</a> <span class="keyword">class </span><a class="code" href="classIMk1.html" title="Model stredni hodnoty vyvoje stavu pro k1.">IMk1</a> : <span class="keyword">public</span> <a class="code" href="classbdm_1_1diffbifn.html" title="Class representing a differentiable function of two variables .">diffbifn</a> { 
     73<a name="l00010"></a>00010 <span class="keyword">protected</span>: 
     74<a name="l00011"></a>00011         <span class="keywordtype">double</span> alp1, alp2; <span class="comment">// pomery odboceni...</span> 
     75<a name="l00012"></a>00012  
     76<a name="l00013"></a>00013 <span class="keyword">public</span>: 
     77<a name="l00015"></a><a class="code" href="classIMk1.html#c440a205745a09c2c903c4bdf7f5f9fc">00015</a>         <a class="code" href="classIMk1.html#c440a205745a09c2c903c4bdf7f5f9fc" title="Constructor.">IMk1</a>() :<a class="code" href="classbdm_1_1diffbifn.html" title="Class representing a differentiable function of two variables .">diffbifn</a> () {<a class="code" href="classbdm_1_1fnc.html#52156cb4a52a62d51fc7455985797a62" title="Length of the output vector.">dimy</a>=4; <a class="code" href="classbdm_1_1diffbifn.html#a193aa2c4a500139c0c4b669691e588e" title="cache for rvx.count()">dimx</a>=3; <a class="code" href="classbdm_1_1diffbifn.html#30c45617eec89adeb4ebaa763d093fb0" title="cache for rvu.count()">dimu</a>=1;};  
     78<a name="l00017"></a><a class="code" href="classIMk1.html#75f9d12716a3648a838477186b49aff1">00017</a>         <span class="keywordtype">void</span> <a class="code" href="classIMk1.html#75f9d12716a3648a838477186b49aff1" title="set CONSTANT parameters">set_parameters</a> ( <span class="keywordtype">double</span> alp10,  <span class="keywordtype">double</span> alp20) {alp1=alp10; alp2=alp20;} 
    3579<a name="l00018"></a>00018  
    36 <a name="l00019"></a>00019 <span class="keyword">public</span>: 
    37 <a name="l00021"></a><a class="code" href="classIMk1.html#c440a205745a09c2c903c4bdf7f5f9fc">00021</a>         <a class="code" href="classIMk1.html#c440a205745a09c2c903c4bdf7f5f9fc" title="Constructor.">IMk1</a>() :<a class="code" href="classbdm_1_1diffbifn.html" title="Class representing a differentiable function of two variables .">diffbifn</a> (RVstav.count(), RVstav, RVut ) {};  
    38 <a name="l00023"></a><a class="code" href="classIMk1.html#75f9d12716a3648a838477186b49aff1">00023</a>         <span class="keywordtype">void</span> <a class="code" href="classIMk1.html#75f9d12716a3648a838477186b49aff1" title="set CONSTANT parameters">set_parameters</a> ( <span class="keywordtype">double</span> alp10,  <span class="keywordtype">double</span> alp20) {alp1=alp10; alp2=alp20;} 
    39 <a name="l00024"></a>00024  
    40 <a name="l00025"></a><a class="code" href="classIMk1.html#8957f00622352dcacd64518136c7da33">00025</a>         vec <a class="code" href="classIMk1.html#8957f00622352dcacd64518136c7da33" title="Evaluates .">eval</a> ( <span class="keyword">const</span> vec &amp;x0, <span class="keyword">const</span> vec &amp;u0 ) { 
    41 <a name="l00026"></a>00026                 <span class="comment">// napln stav nulami</span> 
    42 <a name="l00027"></a>00027                 vec xk=zeros ( RVstav.<a class="code" href="classbdm_1_1RV.html#2174751a00ce19f941edd2c1a861be67" title="Return number of scalars in the RV.">count</a>() ); 
    43 <a name="l00028"></a>00028  
    44 <a name="l00029"></a>00029                 xk ( 0 ) = 0.2* x0(1) - 0.1* x0(2)+ u0(0);  <span class="comment">// vycucane z prstu</span> 
    45 <a name="l00030"></a>00030                 xk ( 1 ) = x0(0);  
    46 <a name="l00031"></a>00031                 xk ( 2 ) = x0(1); 
    47 <a name="l00032"></a>00032                 xk ( 3 ) = x0(2); 
     80<a name="l00019"></a><a class="code" href="classIMk1.html#8957f00622352dcacd64518136c7da33">00019</a>         vec <a class="code" href="classIMk1.html#8957f00622352dcacd64518136c7da33" title="Evaluates .">eval</a> ( <span class="keyword">const</span> vec &amp;x0, <span class="keyword">const</span> vec &amp;u0 ) { 
     81<a name="l00020"></a>00020                 <span class="comment">// napln stav nulami</span> 
     82<a name="l00021"></a>00021                 vec xk=zeros ( <a class="code" href="classbdm_1_1fnc.html#52156cb4a52a62d51fc7455985797a62" title="Length of the output vector.">dimy</a> ); 
     83<a name="l00022"></a>00022  
     84<a name="l00023"></a>00023                 xk ( 0 ) = 0.2* x0(1) - 0.1* x0(2)+ u0(0);  <span class="comment">// vycucane z prstu</span> 
     85<a name="l00024"></a>00024                 xk ( 1 ) = x0(0);  
     86<a name="l00025"></a>00025                 xk ( 2 ) = x0(1); 
     87<a name="l00026"></a>00026                 xk ( 3 ) = x0(2); 
     88<a name="l00027"></a>00027  
     89<a name="l00028"></a>00028                 <span class="keywordflow">return</span> xk; 
     90<a name="l00029"></a>00029         } 
     91<a name="l00030"></a>00030  
     92<a name="l00031"></a><a class="code" href="classIMk1.html#463177c0fdffdf4951761959160cc682">00031</a>         <span class="keywordtype">void</span> <a class="code" href="classIMk1.html#463177c0fdffdf4951761959160cc682" title="Evaluates  and writes result into A .">dfdx_cond</a> ( <span class="keyword">const</span> vec &amp;x0, <span class="keyword">const</span> vec &amp;u0, mat &amp;A, <span class="keywordtype">bool</span> full=<span class="keyword">true</span> ) { 
     93<a name="l00032"></a>00032                 <span class="comment">// Vysledek se uklada do matice A</span> 
    4894<a name="l00033"></a>00033  
    49 <a name="l00034"></a>00034                 <span class="keywordflow">return</span> xk; 
    50 <a name="l00035"></a>00035         } 
    51 <a name="l00036"></a>00036  
    52 <a name="l00037"></a><a class="code" href="classIMk1.html#463177c0fdffdf4951761959160cc682">00037</a>         <span class="keywordtype">void</span> <a class="code" href="classIMk1.html#463177c0fdffdf4951761959160cc682" title="Evaluates  and writes result into A .">dfdx_cond</a> ( <span class="keyword">const</span> vec &amp;x0, <span class="keyword">const</span> vec &amp;u0, mat &amp;A, <span class="keywordtype">bool</span> full=<span class="keyword">true</span> ) { 
    53 <a name="l00038"></a>00038                 <span class="comment">// Vysledek se uklada do matice A</span> 
    54 <a name="l00039"></a>00039  
    55 <a name="l00040"></a>00040                 <span class="keywordflow">if</span> (full) { <span class="comment">// priznak full se nastavi na zacatku =&gt; je treba naplnit celou matici</span> 
    56 <a name="l00041"></a>00041                         A = eye(RVstav.<a class="code" href="classbdm_1_1RV.html#2174751a00ce19f941edd2c1a861be67" title="Return number of scalars in the RV.">count</a>()); 
    57 <a name="l00042"></a>00042                         A(0,1) = 0.2; 
    58 <a name="l00043"></a>00043                         A(0,2) = -0.1; 
    59 <a name="l00044"></a>00044                 } <span class="keywordflow">else</span> { 
    60 <a name="l00045"></a>00045                 }; <span class="comment">// pokud neni priznak full, staci naplnit jen to co se zmenilo. V tomhle pripade se nemeni nic</span> 
    61 <a name="l00046"></a>00046         } 
    62 <a name="l00047"></a>00047  
    63 <a name="l00048"></a><a class="code" href="classIMk1.html#2b85f0984da3fe55849bb7b28f66e50c">00048</a>         <span class="keywordtype">void</span> <a class="code" href="classIMk1.html#2b85f0984da3fe55849bb7b28f66e50c" title="Evaluates  and writes result into A .">dfdu_cond</a> ( <span class="keyword">const</span> vec &amp;x0, <span class="keyword">const</span> vec &amp;u0, mat &amp;A, <span class="keywordtype">bool</span> full=<span class="keyword">true</span> ) {it_error ( <span class="stringliteral">"not needed"</span> );}; 
    64 <a name="l00049"></a>00049  
    65 <a name="l00050"></a>00050 }; 
    66 <a name="l00051"></a>00051  
    67 <a name="l00053"></a><a class="code" href="classOMk1.html">00053</a> <span class="keyword">class </span><a class="code" href="classOMk1.html" title="model stredni hodnoty pozorovani pro k1">OMk1</a> : <span class="keyword">public</span> <a class="code" href="classbdm_1_1diffbifn.html" title="Class representing a differentiable function of two variables .">diffbifn</a> { 
    68 <a name="l00054"></a>00054 <span class="keyword">public</span>: 
    69 <a name="l00056"></a><a class="code" href="classOMk1.html#8e88ee95e5df98357069e7c3215cbdcd">00056</a>         <a class="code" href="classOMk1.html#8e88ee95e5df98357069e7c3215cbdcd" title="Constructor.">OMk1</a>() :<a class="code" href="classbdm_1_1diffbifn.html" title="Class representing a differentiable function of two variables .">diffbifn</a> (RVpozor.count(), RVstav, RVut ) {};  
    70 <a name="l00057"></a>00057         <span class="comment">// Model pozorovani  je trivialni jen se zkopiruji stavy</span> 
    71 <a name="l00058"></a><a class="code" href="classOMk1.html#7c12aa1b56f298cc21b22e0dde84ef8f">00058</a>         vec <a class="code" href="classOMk1.html#7c12aa1b56f298cc21b22e0dde84ef8f" title="Evaluates .">eval</a>(<span class="keyword">const</span> vec &amp;x0, <span class="keyword">const</span> vec &amp;u0 ){ 
    72 <a name="l00059"></a>00059                 vec dt(RVpozor.<a class="code" href="classbdm_1_1RV.html#2174751a00ce19f941edd2c1a861be67" title="Return number of scalars in the RV.">count</a>()); 
    73 <a name="l00060"></a>00060                 <span class="comment">// Pozoruji pouze prvni dva stavy</span> 
    74 <a name="l00061"></a>00061                 dt(0) = x0(0); 
    75 <a name="l00062"></a>00062                 dt(1) = x0(1);  
    76 <a name="l00063"></a>00063                 <span class="keywordflow">return</span> dt; 
    77 <a name="l00064"></a>00064         } 
    78 <a name="l00065"></a>00065         <span class="comment">//</span> 
    79 <a name="l00066"></a><a class="code" href="classOMk1.html#3a6ff61c818d25f95912351aac201cc7">00066</a>         <span class="keywordtype">void</span> <a class="code" href="classOMk1.html#3a6ff61c818d25f95912351aac201cc7" title="Evaluates  and writes result into A .">dfdx_cond</a> ( <span class="keyword">const</span> vec &amp;x0, <span class="keyword">const</span> vec &amp;u0, mat &amp;A, <span class="keywordtype">bool</span> full=<span class="keyword">true</span> ) { 
    80 <a name="l00067"></a>00067                 <span class="comment">// Vysledek se uklada do matice A</span> 
    81 <a name="l00068"></a>00068  
    82 <a name="l00069"></a>00069                 <span class="keywordflow">if</span> (full) { <span class="comment">// priznak full se nastavi na zacatku =&gt; je treba naplnit celou matici</span> 
    83 <a name="l00070"></a>00070                         A = zeros(RVpozor.<a class="code" href="classbdm_1_1RV.html#2174751a00ce19f941edd2c1a861be67" title="Return number of scalars in the RV.">count</a>(),RVstav.<a class="code" href="classbdm_1_1RV.html#2174751a00ce19f941edd2c1a861be67" title="Return number of scalars in the RV.">count</a>()); 
    84 <a name="l00071"></a>00071                         A(0,0)=1.0; 
    85 <a name="l00072"></a>00072                         A(1,1)=1.0; 
    86 <a name="l00073"></a>00073                 } <span class="keywordflow">else</span> {}; <span class="comment">// pokud neni priznak full, staci naplnit jen to co se zmenilo. V tomhle pripade se nemeni nic</span> 
    87 <a name="l00074"></a>00074         } 
    88 <a name="l00075"></a>00075 }; 
    89 <a name="l00076"></a>00076  
    90 <a name="l00077"></a>00077 <span class="preprocessor">#endif //MODEL_H</span> 
     95<a name="l00034"></a>00034                 <span class="keywordflow">if</span> (full) { <span class="comment">// priznak full se nastavi na zacatku =&gt; je treba naplnit celou matici</span> 
     96<a name="l00035"></a>00035                         A = eye(<a class="code" href="classbdm_1_1fnc.html#52156cb4a52a62d51fc7455985797a62" title="Length of the output vector.">dimy</a>); 
     97<a name="l00036"></a>00036                         A(0,1) = 0.2; 
     98<a name="l00037"></a>00037                         A(0,2) = -0.1; 
     99<a name="l00038"></a>00038                 } <span class="keywordflow">else</span> { 
     100<a name="l00039"></a>00039                 }; <span class="comment">// pokud neni priznak full, staci naplnit jen to co se zmenilo. V tomhle pripade se nemeni nic</span> 
     101<a name="l00040"></a>00040         } 
     102<a name="l00041"></a>00041  
     103<a name="l00042"></a><a class="code" href="classIMk1.html#2b85f0984da3fe55849bb7b28f66e50c">00042</a>         <span class="keywordtype">void</span> <a class="code" href="classIMk1.html#2b85f0984da3fe55849bb7b28f66e50c" title="Evaluates  and writes result into A .">dfdu_cond</a> ( <span class="keyword">const</span> vec &amp;x0, <span class="keyword">const</span> vec &amp;u0, mat &amp;A, <span class="keywordtype">bool</span> full=<span class="keyword">true</span> ) {it_error ( <span class="stringliteral">"not needed"</span> );}; 
     104<a name="l00043"></a>00043  
     105<a name="l00044"></a>00044 }; 
     106<a name="l00045"></a>00045  
     107<a name="l00047"></a><a class="code" href="classOMk1.html">00047</a> <span class="keyword">class </span><a class="code" href="classOMk1.html" title="model stredni hodnoty pozorovani pro k1">OMk1</a> : <span class="keyword">public</span> <a class="code" href="classbdm_1_1diffbifn.html" title="Class representing a differentiable function of two variables .">diffbifn</a> { 
     108<a name="l00048"></a>00048 <span class="keyword">public</span>: 
     109<a name="l00050"></a><a class="code" href="classOMk1.html#8e88ee95e5df98357069e7c3215cbdcd">00050</a>         <a class="code" href="classOMk1.html#8e88ee95e5df98357069e7c3215cbdcd" title="Constructor.">OMk1</a>() :<a class="code" href="classbdm_1_1diffbifn.html" title="Class representing a differentiable function of two variables .">diffbifn</a> ( ) {<a class="code" href="classbdm_1_1fnc.html#52156cb4a52a62d51fc7455985797a62" title="Length of the output vector.">dimy</a>=2;<a class="code" href="classbdm_1_1diffbifn.html#a193aa2c4a500139c0c4b669691e588e" title="cache for rvx.count()">dimx</a>=3;<a class="code" href="classbdm_1_1diffbifn.html#30c45617eec89adeb4ebaa763d093fb0" title="cache for rvu.count()">dimu</a>=2;}; <span class="comment">//&lt;======= TODO </span> 
     110<a name="l00051"></a>00051         <span class="comment">// Model pozorovani  je trivialni jen se zkopiruji stavy</span> 
     111<a name="l00052"></a><a class="code" href="classOMk1.html#7c12aa1b56f298cc21b22e0dde84ef8f">00052</a>         vec <a class="code" href="classOMk1.html#7c12aa1b56f298cc21b22e0dde84ef8f" title="Evaluates .">eval</a>(<span class="keyword">const</span> vec &amp;x0, <span class="keyword">const</span> vec &amp;u0 ){ 
     112<a name="l00053"></a>00053                 vec dt(<a class="code" href="classbdm_1_1fnc.html#52156cb4a52a62d51fc7455985797a62" title="Length of the output vector.">dimy</a>); 
     113<a name="l00054"></a>00054                 <span class="comment">// Pozoruji pouze prvni dva stavy</span> 
     114<a name="l00055"></a>00055                 dt(0) = x0(0); 
     115<a name="l00056"></a>00056                 dt(1) = x0(1);  
     116<a name="l00057"></a>00057                 <span class="keywordflow">return</span> dt; 
     117<a name="l00058"></a>00058         } 
     118<a name="l00059"></a>00059         <span class="comment">//</span> 
     119<a name="l00060"></a><a class="code" href="classOMk1.html#3a6ff61c818d25f95912351aac201cc7">00060</a>         <span class="keywordtype">void</span> <a class="code" href="classOMk1.html#3a6ff61c818d25f95912351aac201cc7" title="Evaluates  and writes result into A .">dfdx_cond</a> ( <span class="keyword">const</span> vec &amp;x0, <span class="keyword">const</span> vec &amp;u0, mat &amp;A, <span class="keywordtype">bool</span> full=<span class="keyword">true</span> ) { 
     120<a name="l00061"></a>00061                 <span class="comment">// Vysledek se uklada do matice A</span> 
     121<a name="l00062"></a>00062  
     122<a name="l00063"></a>00063                 <span class="keywordflow">if</span> (full) { <span class="comment">// priznak full se nastavi na zacatku =&gt; je treba naplnit celou matici</span> 
     123<a name="l00064"></a>00064                         A = zeros(<a class="code" href="classbdm_1_1fnc.html#52156cb4a52a62d51fc7455985797a62" title="Length of the output vector.">dimy</a>,<a class="code" href="classbdm_1_1diffbifn.html#a193aa2c4a500139c0c4b669691e588e" title="cache for rvx.count()">dimx</a>); 
     124<a name="l00065"></a>00065                         A(0,0)=1.0; 
     125<a name="l00066"></a>00066                         A(1,1)=1.0; 
     126<a name="l00067"></a>00067                 } <span class="keywordflow">else</span> {}; <span class="comment">// pokud neni priznak full, staci naplnit jen to co se zmenilo. V tomhle pripade se nemeni nic</span> 
     127<a name="l00068"></a>00068         } 
     128<a name="l00069"></a>00069 }; 
     129<a name="l00070"></a>00070  
     130<a name="l00071"></a>00071 <span class="preprocessor">#endif //MODEL_H</span> 
    91131</pre></div></div> 
    92 <hr size="1"><address style="text-align: right;"><small>Generated on Fri Feb 6 12:16:28 2009 for mixpp by&nbsp; 
     132<hr size="1"><address style="text-align: right;"><small>Generated on Thu Apr 23 21:06:42 2009 for mixpp by&nbsp; 
    93133<a href="http://www.doxygen.org/index.html"> 
    94 <img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
     134<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.8 </small></address> 
    95135</body> 
    96136</html>