Sophie

Sophie

distrib > Mageia > 4 > x86_64 > by-pkgid > 99cb5ede6a5329071fbeecc8218deb35 > files > 54

eigen3-doc-3.2-3.mga4.noarch.rpm

<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
<html xmlns="http://www.w3.org/1999/xhtml">
<head>
<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
<meta http-equiv="X-UA-Compatible" content="IE=9"/>
<meta name="generator" content="Doxygen 1.8.5"/>
<title>Eigen: Eigen 2 support modes</title>
<link href="tabs.css" rel="stylesheet" type="text/css"/>
<script type="text/javascript" src="jquery.js"></script>
<script type="text/javascript" src="dynsections.js"></script>
<link href="navtree.css" rel="stylesheet" type="text/css"/>
<script type="text/javascript" src="resize.js"></script>
<script type="text/javascript" src="navtree.js"></script>
<script type="text/javascript">
  $(document).ready(initResizable);
  $(window).load(resizeHeight);
</script>
<link href="search/search.css" rel="stylesheet" type="text/css"/>
<script type="text/javascript" src="search/search.js"></script>
<script type="text/javascript">
  $(document).ready(function() { searchBox.OnSelectItem(0); });
</script>
<link href="doxygen.css"   rel="stylesheet" type="text/css" />
<link href="eigendoxy.css" rel="stylesheet" type="text/css">
<!--  -->
<script type="text/javascript" src="eigen_navtree_hacks.js"></script>
<!-- <script type="text/javascript"> -->
<!-- </script> -->
</head>
<body>
<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
<!-- <a name="top"></a> -->
<div id="titlearea">
<table cellspacing="0" cellpadding="0">
 <tbody>
 <tr style="height: 56px;">
  <td id="projectlogo"><img alt="Logo" src="Eigen_Silly_Professor_64x64.png"/></td>
  <td style="padding-left: 0.5em;">
   <div id="projectname"><a href="http://eigen.tuxfamily.org">Eigen</a>
   &#160;<span id="projectnumber">3.2.0</span>
   </div>
  </td>
   <td>        <div id="MSearchBox" class="MSearchBoxInactive">
        <span class="left">
          <img id="MSearchSelect" src="search/mag_sel.png"
               onmouseover="return searchBox.OnSearchSelectShow()"
               onmouseout="return searchBox.OnSearchSelectHide()"
               alt=""/>
          <input type="text" id="MSearchField" value="Search" accesskey="S"
               onfocus="searchBox.OnSearchFieldFocus(true)" 
               onblur="searchBox.OnSearchFieldFocus(false)" 
               onkeyup="searchBox.OnSearchFieldChange(event)"/>
          </span><span class="right">
            <a id="MSearchClose" href="javascript:searchBox.CloseResultsWindow()"><img id="MSearchCloseImg" border="0" src="search/close.png" alt=""/></a>
          </span>
        </div>
</td>
 </tr>
 </tbody>
</table>
</div>
<!-- end header part -->
<!-- Generated by Doxygen 1.8.5 -->
<script type="text/javascript">
var searchBox = new SearchBox("searchBox", "search",false,'Search');
</script>
</div><!-- top -->
<div id="side-nav" class="ui-resizable side-nav-resizable">
  <div id="nav-tree">
    <div id="nav-tree-contents">
      <div id="nav-sync" class="sync"></div>
    </div>
  </div>
  <div id="splitbar" style="-moz-user-select:none;" 
       class="ui-resizable-handle">
  </div>
</div>
<script type="text/javascript">
$(document).ready(function(){initNavTree('Eigen2SupportModes.html','');});
</script>
<div id="doc-content">
<!-- window showing the filter options -->
<div id="MSearchSelectWindow"
     onmouseover="return searchBox.OnSearchSelectShow()"
     onmouseout="return searchBox.OnSearchSelectHide()"
     onkeydown="return searchBox.OnSearchSelectKey(event)">
<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Classes</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Namespaces</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Friends</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>

<!-- iframe showing the search results (closed by default) -->
<div id="MSearchResultsWindow">
<iframe src="javascript:void(0)" frameborder="0" 
        name="MSearchResults" id="MSearchResults">
</iframe>
</div>

<div class="header">
  <div class="headertitle">
<div class="title"><a class="el" href="namespaceEigen.html" title="Namespace containing all symbols from the Eigen library. ">Eigen</a> 2 support modes </div>  </div>
</div><!--header-->
<div class="contents">
<div class="textblock"><p>This page documents the Eigen2 support modes, a powerful tool to help migrating your project from <a class="el" href="namespaceEigen.html" title="Namespace containing all symbols from the Eigen library. ">Eigen</a> 2 to <a class="el" href="namespaceEigen.html" title="Namespace containing all symbols from the Eigen library. ">Eigen</a> 3. Don't miss our page on <a class="el" href="Eigen2ToEigen3.html">API changes</a> between <a class="el" href="namespaceEigen.html" title="Namespace containing all symbols from the Eigen library. ">Eigen</a> 2 and <a class="el" href="namespaceEigen.html" title="Namespace containing all symbols from the Eigen library. ">Eigen</a> 3.</p>
<h1><a class="anchor" id="EIGEN2_SUPPORT_Macro"></a>
The quick way: define EIGEN2_SUPPORT</h1>
<p>By defining EIGEN2_SUPPORT before including any <a class="el" href="namespaceEigen.html" title="Namespace containing all symbols from the Eigen library. ">Eigen</a> 3 header, you get back a large part of the <a class="el" href="namespaceEigen.html" title="Namespace containing all symbols from the Eigen library. ">Eigen</a> 2 API, while keeping the <a class="el" href="namespaceEigen.html" title="Namespace containing all symbols from the Eigen library. ">Eigen</a> 3 API and ABI unchanged.</p>
<p>This defaults to the <a class="el" href="Eigen2SupportModes.html#Stage30">stage 30</a> described below.</p>
<p>The rest of this page describes an optional, more powerful <em>staged</em> migration path.</p>
<h1><a class="anchor" id="StagedMigrationPathOverview"></a>
Overview of the staged migration path</h1>
<p>The primary reason why EIGEN2_SUPPORT alone may not be enough to migrate a large project from <a class="el" href="namespaceEigen.html" title="Namespace containing all symbols from the Eigen library. ">Eigen</a> 2 to <a class="el" href="namespaceEigen.html" title="Namespace containing all symbols from the Eigen library. ">Eigen</a> 3 is that some of the <a class="el" href="namespaceEigen.html" title="Namespace containing all symbols from the Eigen library. ">Eigen</a> 2 API is inherently incompatible with the <a class="el" href="namespaceEigen.html" title="Namespace containing all symbols from the Eigen library. ">Eigen</a> 3 API. This happens when the same identifier is used in <a class="el" href="namespaceEigen.html" title="Namespace containing all symbols from the Eigen library. ">Eigen</a> 2 and in <a class="el" href="namespaceEigen.html" title="Namespace containing all symbols from the Eigen library. ">Eigen</a> 3 with different meanings. To help migrate projects that rely on such API, we provide a staged migration path allowing to perform the migration <em>incrementally</em>.</p>
<p>It goes as follows: </p>
<ul>
<li>Step 0: start with a project using <a class="el" href="namespaceEigen.html" title="Namespace containing all symbols from the Eigen library. ">Eigen</a> 2. </li>
<li>Step 1: build your project against <a class="el" href="namespaceEigen.html" title="Namespace containing all symbols from the Eigen library. ">Eigen</a> 3 with <a class="el" href="Eigen2SupportModes.html#Stage10">Eigen 2 support stage 10</a>. This mode enables maximum compatibility with the <a class="el" href="namespaceEigen.html" title="Namespace containing all symbols from the Eigen library. ">Eigen</a> 2 API, with just a few exceptions. </li>
<li>Step 2: build your project against <a class="el" href="namespaceEigen.html" title="Namespace containing all symbols from the Eigen library. ">Eigen</a> 3 with <a class="el" href="Eigen2SupportModes.html#Stage20">Eigen 2 support stage 20</a>. This mode forces you to add eigen2_ prefixes to the Eigen2 identifiers that conflict with <a class="el" href="namespaceEigen.html" title="Namespace containing all symbols from the Eigen library. ">Eigen</a> 3 API. </li>
<li>Step 3: build your project against <a class="el" href="namespaceEigen.html" title="Namespace containing all symbols from the Eigen library. ">Eigen</a> 3 with <a class="el" href="Eigen2SupportModes.html#Stage30">Eigen 2 support stage 30</a>. This mode enables the full <a class="el" href="namespaceEigen.html" title="Namespace containing all symbols from the Eigen library. ">Eigen</a> 3 API. </li>
<li>Step 4: build your project against <a class="el" href="namespaceEigen.html" title="Namespace containing all symbols from the Eigen library. ">Eigen</a> 3 with <a class="el" href="Eigen2SupportModes.html#Stage40">Eigen 2 support stage 40</a>. This mode enables the full <a class="el" href="namespaceEigen.html" title="Namespace containing all symbols from the Eigen library. ">Eigen</a> 3 strictness on matters, such as const-correctness, where <a class="el" href="namespaceEigen.html" title="Namespace containing all symbols from the Eigen library. ">Eigen</a> 2 was looser. </li>
<li>Step 5: build your project against <a class="el" href="namespaceEigen.html" title="Namespace containing all symbols from the Eigen library. ">Eigen</a> 3 without any <a class="el" href="namespaceEigen.html" title="Namespace containing all symbols from the Eigen library. ">Eigen</a> 2 support mode.</li>
</ul>
<h1><a class="anchor" id="Stage10"></a>
Stage 10: define EIGEN2_SUPPORT_STAGE10_FULL_EIGEN2_API</h1>
<p>Enable this mode by defining the EIGEN2_SUPPORT_STAGE10_FULL_EIGEN2_API preprocessor macro before including any <a class="el" href="namespaceEigen.html" title="Namespace containing all symbols from the Eigen library. ">Eigen</a> 3 header.</p>
<p>This mode maximizes support for the <a class="el" href="namespaceEigen.html" title="Namespace containing all symbols from the Eigen library. ">Eigen</a> 2 API. As a result, it does not offer the full <a class="el" href="namespaceEigen.html" title="Namespace containing all symbols from the Eigen library. ">Eigen</a> 3 API. Also, it doesn't offer quite 100% of the <a class="el" href="namespaceEigen.html" title="Namespace containing all symbols from the Eigen library. ">Eigen</a> 2 API.</p>
<p>The part of the <a class="el" href="namespaceEigen.html" title="Namespace containing all symbols from the Eigen library. ">Eigen</a> 3 API that is not present in this mode, is <a class="el" href="namespaceEigen.html" title="Namespace containing all symbols from the Eigen library. ">Eigen</a> 3's Geometry module. Indeed, this mode completely replaces it by a copy of <a class="el" href="namespaceEigen.html" title="Namespace containing all symbols from the Eigen library. ">Eigen</a> 2's Geometry module.</p>
<p>The parts of the API that are still not 100% <a class="el" href="namespaceEigen.html" title="Namespace containing all symbols from the Eigen library. ">Eigen</a> 2 compatible in this mode are: </p>
<ul>
<li>Dot products over complex numbers. <a class="el" href="namespaceEigen.html" title="Namespace containing all symbols from the Eigen library. ">Eigen</a> 2's dot product was linear in the first variable. <a class="el" href="namespaceEigen.html" title="Namespace containing all symbols from the Eigen library. ">Eigen</a> 3's dot product is linear in the second variable. In other words, the <a class="el" href="namespaceEigen.html" title="Namespace containing all symbols from the Eigen library. ">Eigen</a> 2 code<div class="fragment"><div class="line">x.dot(y) </div>
</div><!-- fragment --> is equivalent to the <a class="el" href="namespaceEigen.html" title="Namespace containing all symbols from the Eigen library. ">Eigen</a> 3 code<div class="fragment"><div class="line">y.dot(x) </div>
</div><!-- fragment --> In yet other words, dot products are complex-conjugated in <a class="el" href="namespaceEigen.html" title="Namespace containing all symbols from the Eigen library. ">Eigen</a> 3 compared to <a class="el" href="namespaceEigen.html" title="Namespace containing all symbols from the Eigen library. ">Eigen</a> 2. The switch to the new convention was commanded by common usage, especially with the notation <img class="formulaInl" alt="$ x^Ty $" src="form_166.png"/> for dot products of column-vectors. </li>
<li>The <a class="el" href="structEigen_1_1Sparse.html">Sparse</a> module. </li>
<li>Certain fine details of linear algebraic decompositions. For example, <a class="el" href="classEigen_1_1LDLT.html" title="Robust Cholesky decomposition of a matrix with pivoting. ">LDLT</a> decomposition is now pivoting in <a class="el" href="namespaceEigen.html" title="Namespace containing all symbols from the Eigen library. ">Eigen</a> 3 whereas it wasn't in <a class="el" href="namespaceEigen.html" title="Namespace containing all symbols from the Eigen library. ">Eigen</a> 2, so code that was relying on its underlying matrix structure will break. </li>
<li>Usage of <a class="el" href="namespaceEigen.html" title="Namespace containing all symbols from the Eigen library. ">Eigen</a> types in STL containers, <a class="el" href="Eigen2ToEigen3.html">as explained on this page</a>.</li>
</ul>
<h1><a class="anchor" id="Stage20"></a>
Stage 20: define EIGEN2_SUPPORT_STAGE20_RESOLVE_API_CONFLICTS</h1>
<p>Enable this mode by defining the EIGEN2_SUPPORT_STAGE10_FULL_EIGEN2_API preprocessor macro before including any <a class="el" href="namespaceEigen.html" title="Namespace containing all symbols from the Eigen library. ">Eigen</a> 3 header.</p>
<p>This mode removes the <a class="el" href="namespaceEigen.html" title="Namespace containing all symbols from the Eigen library. ">Eigen</a> 2 API that is directly conflicting with <a class="el" href="namespaceEigen.html" title="Namespace containing all symbols from the Eigen library. ">Eigen</a> 3 API. Instead, these bits of <a class="el" href="namespaceEigen.html" title="Namespace containing all symbols from the Eigen library. ">Eigen</a> 2 API remain available with eigen2_ prefixes. The main examples of such API are: </p>
<ul>
<li>the whole Geometry module. For example, replace <code><a class="el" href="classEigen_1_1Quaternion.html" title="The quaternion class used to represent 3D orientations and rotations. ">Quaternion</a></code> by <code>eigen2_Quaternion</code>, replace <code>Transform3f</code> by <code>eigen2_Transform3f</code>, etc. </li>
<li>the lu() method to obtain a LU decomposition. Replace by eigen2_lu().</li>
</ul>
<p>There is also one more eigen2_-prefixed identifier that you should know about, even though its use is not checked at compile time by this mode: the dot() method. As was discussed above, over complex numbers, its meaning is different between <a class="el" href="namespaceEigen.html" title="Namespace containing all symbols from the Eigen library. ">Eigen</a> 2 and <a class="el" href="namespaceEigen.html" title="Namespace containing all symbols from the Eigen library. ">Eigen</a> 3. You can use eigen2_dot() to get the <a class="el" href="namespaceEigen.html" title="Namespace containing all symbols from the Eigen library. ">Eigen</a> 2 behavior.</p>
<h1><a class="anchor" id="Stage30"></a>
Stage 30: define EIGEN2_SUPPORT_STAGE30_FULL_EIGEN3_API</h1>
<p>Enable this mode by defining the EIGEN2_SUPPORT_STAGE30_FULL_EIGEN3_API preprocessor macro before including any <a class="el" href="namespaceEigen.html" title="Namespace containing all symbols from the Eigen library. ">Eigen</a> 3 header. Also, this mode is what you get by default when you just define EIGEN2_SUPPORT.</p>
<p>This mode gives you the full unaltered <a class="el" href="namespaceEigen.html" title="Namespace containing all symbols from the Eigen library. ">Eigen</a> 3 API, while still keeping as much support as possible for the <a class="el" href="namespaceEigen.html" title="Namespace containing all symbols from the Eigen library. ">Eigen</a> 2 API.</p>
<p>The eigen2_-prefixed identifiers are still available, but at this stage you should now replace them by <a class="el" href="namespaceEigen.html" title="Namespace containing all symbols from the Eigen library. ">Eigen</a> 3 identifiers. Have a look at our page on <a class="el" href="Eigen2ToEigen3.html">API changes</a> between <a class="el" href="namespaceEigen.html" title="Namespace containing all symbols from the Eigen library. ">Eigen</a> 2 and <a class="el" href="namespaceEigen.html" title="Namespace containing all symbols from the Eigen library. ">Eigen</a> 3.</p>
<h1><a class="anchor" id="Stage40"></a>
Stage 40: define EIGEN2_SUPPORT_STAGE40_FULL_EIGEN3_STRICTNESS</h1>
<p>Enable this mode by defining the EIGEN2_SUPPORT_STAGE40_FULL_EIGEN3_STRICTNESS preprocessor macro before including any <a class="el" href="namespaceEigen.html" title="Namespace containing all symbols from the Eigen library. ">Eigen</a> 3 header.</p>
<p>This mode tightens the last bits of strictness, especially const-correctness, that had to be loosened to support what <a class="el" href="namespaceEigen.html" title="Namespace containing all symbols from the Eigen library. ">Eigen</a> 2 allowed. For example, this code compiled in <a class="el" href="namespaceEigen.html" title="Namespace containing all symbols from the Eigen library. ">Eigen</a> 2: </p>
<div class="fragment"><div class="line"><span class="keyword">const</span> <span class="keywordtype">float</span> array[4];</div>
<div class="line">x = Map&lt;Vector4f&gt;(array);</div>
</div><!-- fragment --><p> That allowed to circumvent constness. This is no longer allowed in <a class="el" href="namespaceEigen.html" title="Namespace containing all symbols from the Eigen library. ">Eigen</a> 3. If you have to map const data in <a class="el" href="namespaceEigen.html" title="Namespace containing all symbols from the Eigen library. ">Eigen</a> 3, map it as a const-qualified type. However, rather than explictly constructing <a class="el" href="classEigen_1_1Map.html" title="A matrix or vector expression mapping an existing array of data. ">Map</a> objects, we strongly encourage you to use the static <a class="el" href="classEigen_1_1Map.html" title="A matrix or vector expression mapping an existing array of data. ">Map</a> methods instead, as they take care of all of this for you: </p>
<div class="fragment"><div class="line"><span class="keyword">const</span> <span class="keywordtype">float</span> array[4];</div>
<div class="line">x = Vector4f::Map(array);</div>
</div><!-- fragment --><p> This lets <a class="el" href="namespaceEigen.html" title="Namespace containing all symbols from the Eigen library. ">Eigen</a> do the right thing for you and works equally well in <a class="el" href="namespaceEigen.html" title="Namespace containing all symbols from the Eigen library. ">Eigen</a> 2 and in <a class="el" href="namespaceEigen.html" title="Namespace containing all symbols from the Eigen library. ">Eigen</a> 3.</p>
<h1><a class="anchor" id="FinallyDropAllEigen2Support"></a>
Finally drop all Eigen 2 support</h1>
<p>Stage 40 is the first where it's "comfortable" to stay for a little longer period, since it preserves 100% <a class="el" href="namespaceEigen.html" title="Namespace containing all symbols from the Eigen library. ">Eigen</a> 3 compatibility. However, we still encourage you to complete your migration as quickly as possible. While we do run the <a class="el" href="namespaceEigen.html" title="Namespace containing all symbols from the Eigen library. ">Eigen</a> 2 test suite against <a class="el" href="namespaceEigen.html" title="Namespace containing all symbols from the Eigen library. ">Eigen</a> 3's stage 10 support mode, we can't guarantee the same level of support and quality assurance for <a class="el" href="namespaceEigen.html" title="Namespace containing all symbols from the Eigen library. ">Eigen</a> 2 support as we do for <a class="el" href="namespaceEigen.html" title="Namespace containing all symbols from the Eigen library. ">Eigen</a> 3 itself, especially not in the long term. <a class="el" href="Eigen2ToEigen3.html">This page</a> describes a large part of the changes that you may need to perform.</p>
<h1><a class="anchor" id="ABICompatibility"></a>
What about ABI compatibility?</h1>
<p>It goes as follows: </p>
<ul>
<li>Stage 10 already is ABI compatible with <a class="el" href="namespaceEigen.html" title="Namespace containing all symbols from the Eigen library. ">Eigen</a> 3 for the basic (<a class="el" href="classEigen_1_1Matrix.html" title="The matrix class, also used for vectors and row-vectors. ">Matrix</a>, <a class="el" href="classEigen_1_1Array.html" title="General-purpose arrays with easy API for coefficient-wise operations. ">Array</a>, <a class="el" href="classEigen_1_1SparseMatrix.html" title="A versatible sparse matrix representation. ">SparseMatrix</a>...) types. However, since this stage uses a copy of <a class="el" href="namespaceEigen.html" title="Namespace containing all symbols from the Eigen library. ">Eigen</a> 2's Geometry module instead of <a class="el" href="namespaceEigen.html" title="Namespace containing all symbols from the Eigen library. ">Eigen</a> 3's own Geometry module, the ABI in the Geometry module is not <a class="el" href="namespaceEigen.html" title="Namespace containing all symbols from the Eigen library. ">Eigen</a> 3 compatible. </li>
<li>Stage 20 removes the <a class="el" href="namespaceEigen.html" title="Namespace containing all symbols from the Eigen library. ">Eigen</a> 3-incompatible <a class="el" href="namespaceEigen.html" title="Namespace containing all symbols from the Eigen library. ">Eigen</a> 2 Geometry module (it remains available with eigen2_ prefix). So at this stage, all the identifiers that exist in <a class="el" href="namespaceEigen.html" title="Namespace containing all symbols from the Eigen library. ">Eigen</a> 3 have the <a class="el" href="namespaceEigen.html" title="Namespace containing all symbols from the Eigen library. ">Eigen</a> 3 ABI (and API). </li>
<li>Stage 30 introduces the remaining <a class="el" href="namespaceEigen.html" title="Namespace containing all symbols from the Eigen library. ">Eigen</a> 3 identifiers. So at this stage, you have the full <a class="el" href="namespaceEigen.html" title="Namespace containing all symbols from the Eigen library. ">Eigen</a> 3 ABI. </li>
<li>Stage 40 is no different than Stage 30 in these matters. </li>
</ul>
</div></div><!-- contents -->
</div><!-- doc-content -->
<!-- start footer part -->
<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
  <ul>
    <li class="footer">Generated on Mon Oct 28 2013 11:04:26 for Eigen by
    <a href="http://www.doxygen.org/index.html">
    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.5 </li>
  </ul>
</div>
<!-- Piwik --> 
<!--
<script type="text/javascript">
var pkBaseURL = (("https:" == document.location.protocol) ? "https://stats.sylphide-consulting.com/piwik/" : "http://stats.sylphide-consulting.com/piwik/");
document.write(unescape("%3Cscript src='" + pkBaseURL + "piwik.js' type='text/javascript'%3E%3C/script%3E"));
</script><script type="text/javascript">
try {
var piwikTracker = Piwik.getTracker(pkBaseURL + "piwik.php", 20);
piwikTracker.trackPageView();
piwikTracker.enableLinkTracking();
} catch( err ) {}
</script><noscript><p><img src="http://stats.sylphide-consulting.com/piwik/piwik.php?idsite=20" style="border:0" alt="" /></p></noscript>
-->
<!-- End Piwik Tracking Code -->
</body>
</html>