<!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: SelfadjointRank2Update.h Source File</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>
 <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('SelfadjointRank2Update_8h_source.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"> </span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark"> </span>Classes</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark"> </span>Namespaces</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark"> </span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark"> </span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark"> </span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark"> </span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark"> </span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark"> </span>Friends</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark"> </span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark"> </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">SelfadjointRank2Update.h</div> </div>
</div><!--header-->
<div class="contents">
<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">// This file is part of Eigen, a lightweight C++ template library</span></div>
<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment">// for linear algebra.</span></div>
<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment">//</span></div>
<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment">// Copyright (C) 2009 Gael Guennebaud <gael.guennebaud@inria.fr></span></div>
<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment">//</span></div>
<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment">// This Source Code Form is subject to the terms of the Mozilla</span></div>
<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment">// Public License v. 2.0. If a copy of the MPL was not distributed</span></div>
<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment">// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.</span></div>
<div class="line"><a name="l00009"></a><span class="lineno"> 9</span> </div>
<div class="line"><a name="l00010"></a><span class="lineno"> 10</span> <span class="preprocessor">#ifndef EIGEN_SELFADJOINTRANK2UPTADE_H</span></div>
<div class="line"><a name="l00011"></a><span class="lineno"> 11</span> <span class="preprocessor"></span><span class="preprocessor">#define EIGEN_SELFADJOINTRANK2UPTADE_H</span></div>
<div class="line"><a name="l00012"></a><span class="lineno"> 12</span> <span class="preprocessor"></span></div>
<div class="line"><a name="l00013"></a><span class="lineno"> 13</span> <span class="keyword">namespace </span>Eigen { </div>
<div class="line"><a name="l00014"></a><span class="lineno"> 14</span> </div>
<div class="line"><a name="l00015"></a><span class="lineno"> 15</span> <span class="keyword">namespace </span>internal {</div>
<div class="line"><a name="l00016"></a><span class="lineno"> 16</span> </div>
<div class="line"><a name="l00017"></a><span class="lineno"> 17</span> <span class="comment">/* Optimized selfadjoint matrix += alpha * uv' + conj(alpha)*vu'</span></div>
<div class="line"><a name="l00018"></a><span class="lineno"> 18</span> <span class="comment"> * It corresponds to the Level2 syr2 BLAS routine</span></div>
<div class="line"><a name="l00019"></a><span class="lineno"> 19</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00020"></a><span class="lineno"> 20</span> </div>
<div class="line"><a name="l00021"></a><span class="lineno"> 21</span> <span class="keyword">template</span><<span class="keyword">typename</span> Scalar, <span class="keyword">typename</span> Index, <span class="keyword">typename</span> UType, <span class="keyword">typename</span> VType, <span class="keywordtype">int</span> UpLo></div>
<div class="line"><a name="l00022"></a><span class="lineno"> 22</span> <span class="keyword">struct </span>selfadjoint_rank2_update_selector;</div>
<div class="line"><a name="l00023"></a><span class="lineno"> 23</span> </div>
<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="keyword">template</span><<span class="keyword">typename</span> Scalar, <span class="keyword">typename</span> Index, <span class="keyword">typename</span> UType, <span class="keyword">typename</span> VType></div>
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="keyword">struct </span>selfadjoint_rank2_update_selector<Scalar,Index,UType,VType,<a class="code" href="group__enums.html#ggab59c1bec446b10af208f977a871d910baf886b397626076218462d53d50eb96bc">Lower</a>></div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> {</div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>  <span class="keyword">static</span> <span class="keywordtype">void</span> run(Scalar* mat, Index stride, <span class="keyword">const</span> UType& u, <span class="keyword">const</span> VType& v, <span class="keyword">const</span> Scalar& alpha)</div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>  {</div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>  <span class="keyword">const</span> Index size = u.size();</div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>  <span class="keywordflow">for</span> (Index i=0; i<size; ++i)</div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  {</div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>  Map<Matrix<Scalar,Dynamic,1> >(mat+stride*i+i, size-i) +=</div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>  (numext::conj(alpha) * numext::conj(u.coeff(i))) * v.tail(size-i)</div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  + (alpha * numext::conj(v.coeff(i))) * u.tail(size-i);</div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  }</div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  }</div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span> };</div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span> </div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span> <span class="keyword">template</span><<span class="keyword">typename</span> Scalar, <span class="keyword">typename</span> Index, <span class="keyword">typename</span> UType, <span class="keyword">typename</span> VType></div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span> <span class="keyword">struct </span>selfadjoint_rank2_update_selector<Scalar,Index,UType,VType,<a class="code" href="group__enums.html#ggab59c1bec446b10af208f977a871d910bae70afef0d3ff7aca74e17e85ff6c9f2e">Upper</a>></div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span> {</div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  <span class="keyword">static</span> <span class="keywordtype">void</span> run(Scalar* mat, Index stride, <span class="keyword">const</span> UType& u, <span class="keyword">const</span> VType& v, <span class="keyword">const</span> Scalar& alpha)</div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  {</div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  <span class="keyword">const</span> Index size = u.size();</div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  <span class="keywordflow">for</span> (Index i=0; i<size; ++i)</div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  Map<Matrix<Scalar,Dynamic,1> >(mat+stride*i, i+1) +=</div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  (numext::conj(alpha) * numext::conj(u.coeff(i))) * v.head(i+1)</div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  + (alpha * numext::conj(v.coeff(i))) * u.head(i+1);</div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  }</div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span> };</div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span> </div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span> <span class="keyword">template</span><<span class="keywordtype">bool</span> Cond, <span class="keyword">typename</span> T> <span class="keyword">struct </span>conj_expr_if</div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  : conditional<!Cond, const T&,</div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  CwiseUnaryOp<scalar_conjugate_op<typename traits<T>::Scalar>,T> > {};</div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span> </div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span> } <span class="comment">// end namespace internal</span></div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span> </div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span> <span class="keyword">template</span><<span class="keyword">typename</span> MatrixType, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> UpLo></div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span> <span class="keyword">template</span><<span class="keyword">typename</span> DerivedU, <span class="keyword">typename</span> DerivedV></div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span> SelfAdjointView<MatrixType,UpLo>& <a class="code" href="classEigen_1_1SelfAdjointView.html#a024a26e49b7865e23e39479de6dc56fc">SelfAdjointView<MatrixType,UpLo></a></div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span> <a class="code" href="classEigen_1_1SelfAdjointView.html#a024a26e49b7865e23e39479de6dc56fc">::rankUpdate</a>(<span class="keyword">const</span> MatrixBase<DerivedU>& u, <span class="keyword">const</span> MatrixBase<DerivedV>& v, <span class="keyword">const</span> Scalar& alpha)</div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span> {</div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  <span class="keyword">typedef</span> internal::blas_traits<DerivedU> UBlasTraits;</div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> UBlasTraits::DirectLinearAccessType ActualUType;</div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> internal::remove_all<ActualUType>::type _ActualUType;</div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  <span class="keyword">typename</span> internal::add_const_on_value_type<ActualUType>::type actualU = UBlasTraits::extract(u.derived());</div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span> </div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  <span class="keyword">typedef</span> internal::blas_traits<DerivedV> VBlasTraits;</div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> VBlasTraits::DirectLinearAccessType ActualVType;</div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> internal::remove_all<ActualVType>::type _ActualVType;</div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  <span class="keyword">typename</span> internal::add_const_on_value_type<ActualVType>::type actualV = VBlasTraits::extract(v.derived());</div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span> </div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  <span class="comment">// If MatrixType is row major, then we use the routine for lower triangular in the upper triangular case and</span></div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  <span class="comment">// vice versa, and take the complex conjugate of all coefficients and vector entries.</span></div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span> </div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  <span class="keyword">enum</span> { IsRowMajor = (internal::traits<MatrixType>::Flags&<a class="code" href="group__flags.html#ga7bd49e7b260e869e10fb9dc4fd081a85">RowMajorBit</a>) ? 1 : 0 };</div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  Scalar actualAlpha = alpha * UBlasTraits::extractScalarFactor(u.derived())</div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  * numext::conj(VBlasTraits::extractScalarFactor(v.derived()));</div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  <span class="keywordflow">if</span> (IsRowMajor)</div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  actualAlpha = numext::conj(actualAlpha);</div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span> </div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  internal::selfadjoint_rank2_update_selector<Scalar, Index,</div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  <span class="keyword">typename</span> internal::remove_all<typename internal::conj_expr_if<IsRowMajor ^ UBlasTraits::NeedToConjugate,_ActualUType>::type>::type,</div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  <span class="keyword">typename</span> internal::remove_all<typename internal::conj_expr_if<IsRowMajor ^ VBlasTraits::NeedToConjugate,_ActualVType>::type>::type,</div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  (IsRowMajor ? int(UpLo==<a class="code" href="group__enums.html#ggab59c1bec446b10af208f977a871d910bae70afef0d3ff7aca74e17e85ff6c9f2e">Upper</a> ? <a class="code" href="group__enums.html#ggab59c1bec446b10af208f977a871d910baf886b397626076218462d53d50eb96bc">Lower</a> : <a class="code" href="group__enums.html#ggab59c1bec446b10af208f977a871d910bae70afef0d3ff7aca74e17e85ff6c9f2e">Upper</a>) : UpLo)></div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  ::run(_expression().const_cast_derived().data(),_expression().outerStride(),actualU,actualV,actualAlpha);</div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span> </div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span> }</div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span> </div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span> } <span class="comment">// end namespace Eigen</span></div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span> </div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span> <span class="preprocessor">#endif // EIGEN_SELFADJOINTRANK2UPTADE_H</span></div>
<div class="ttc" id="group__enums_html_ggab59c1bec446b10af208f977a871d910bae70afef0d3ff7aca74e17e85ff6c9f2e"><div class="ttname"><a href="group__enums.html#ggab59c1bec446b10af208f977a871d910bae70afef0d3ff7aca74e17e85ff6c9f2e">Eigen::Upper</a></div><div class="ttdef"><b>Definition:</b> Constants.h:169</div></div>
<div class="ttc" id="group__enums_html_ggab59c1bec446b10af208f977a871d910baf886b397626076218462d53d50eb96bc"><div class="ttname"><a href="group__enums.html#ggab59c1bec446b10af208f977a871d910baf886b397626076218462d53d50eb96bc">Eigen::Lower</a></div><div class="ttdef"><b>Definition:</b> Constants.h:167</div></div>
<div class="ttc" id="classEigen_1_1SelfAdjointView_html_a024a26e49b7865e23e39479de6dc56fc"><div class="ttname"><a href="classEigen_1_1SelfAdjointView.html#a024a26e49b7865e23e39479de6dc56fc">Eigen::SelfAdjointView::rankUpdate</a></div><div class="ttdeci">SelfAdjointView & rankUpdate(const MatrixBase< DerivedU > &u, const MatrixBase< DerivedV > &v, const Scalar &alpha=Scalar(1))</div></div>
<div class="ttc" id="group__flags_html_ga7bd49e7b260e869e10fb9dc4fd081a85"><div class="ttname"><a href="group__flags.html#ga7bd49e7b260e869e10fb9dc4fd081a85">Eigen::RowMajorBit</a></div><div class="ttdeci">const unsigned int RowMajorBit</div><div class="ttdef"><b>Definition:</b> Constants.h:53</div></div>
</div><!-- fragment --></div><!-- contents -->
</div><!-- doc-content -->
<!-- start footer part -->
<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
<ul>
<li class="navelem"><a class="el" href="dir_e49d68e3078f12dfcf157021597ad168.html">Eigen</a></li><li class="navelem"><a class="el" href="dir_64b228556dc7f9fe757d43bb57fbfc24.html">src</a></li><li class="navelem"><a class="el" href="dir_55812ea607075be3acfc18281a2aed64.html">Core</a></li><li class="navelem"><a class="el" href="dir_cf0726a1d419b03e86a64bf5e2ec8fb9.html">products</a></li><li class="navelem"><b>SelfadjointRank2Update.h</b></li>
<li class="footer">Generated on Mon Oct 28 2013 11:04:25 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>
