<!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: $title</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); 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</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('TutorialSparse_example_details.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="contents"> <div class="textblock"><div class="fragment"><div class="line"><span class="preprocessor">#include <Eigen/Sparse></span></div> <div class="line"><span class="preprocessor">#include <vector></span></div> <div class="line"><span class="preprocessor">#include <QImage></span></div> <div class="line"></div> <div class="line"><span class="keyword">typedef</span> <a class="code" href="classEigen_1_1SparseMatrix.html">Eigen::SparseMatrix<double></a> SpMat; <span class="comment">// declares a column-major sparse matrix type of double</span></div> <div class="line"><span class="keyword">typedef</span> <a class="code" href="classEigen_1_1Triplet.html">Eigen::Triplet<double></a> T;</div> <div class="line"></div> <div class="line"><span class="keywordtype">void</span> insertCoefficient(<span class="keywordtype">int</span> <span class="keywordtype">id</span>, <span class="keywordtype">int</span> i, <span class="keywordtype">int</span> j, <span class="keywordtype">double</span> w, std::vector<T>& coeffs,</div> <div class="line"> <a class="code" href="classEigen_1_1Matrix.html">Eigen::VectorXd</a>& b, <span class="keyword">const</span> <a class="code" href="classEigen_1_1Matrix.html">Eigen::VectorXd</a>& boundary)</div> <div class="line">{</div> <div class="line"> <span class="keywordtype">int</span> n = boundary.size();</div> <div class="line"> <span class="keywordtype">int</span> id1 = i+j*n;</div> <div class="line"></div> <div class="line"> <span class="keywordflow">if</span>(i==-1 || i==n) b(<span class="keywordtype">id</span>) -= w * boundary(j); <span class="comment">// constrained coeffcieint</span></div> <div class="line"> <span class="keywordflow">else</span> <span class="keywordflow">if</span>(j==-1 || j==n) b(<span class="keywordtype">id</span>) -= w * boundary(i); <span class="comment">// constrained coeffcieint</span></div> <div class="line"> <span class="keywordflow">else</span> coeffs.push_back(T(<span class="keywordtype">id</span>,id1,w)); <span class="comment">// unknown coefficient</span></div> <div class="line">}</div> <div class="line"></div> <div class="line"><span class="keywordtype">void</span> buildProblem(std::vector<T>& coefficients, <a class="code" href="classEigen_1_1Matrix.html">Eigen::VectorXd</a>& b, <span class="keywordtype">int</span> n)</div> <div class="line">{</div> <div class="line"> b.<a class="code" href="classEigen_1_1PlainObjectBase.html#a04abe84a9a894de335a232681d9a0722">setZero</a>();</div> <div class="line"> Eigen::ArrayXd boundary = Eigen::ArrayXd::LinSpaced(n, 0,M_PI).sin().pow(2);</div> <div class="line"> <span class="keywordflow">for</span>(<span class="keywordtype">int</span> j=0; j<n; ++j)</div> <div class="line"> {</div> <div class="line"> <span class="keywordflow">for</span>(<span class="keywordtype">int</span> i=0; i<n; ++i)</div> <div class="line"> {</div> <div class="line"> <span class="keywordtype">int</span> <span class="keywordtype">id</span> = i+j*n;</div> <div class="line"> insertCoefficient(<span class="keywordtype">id</span>, i-1,j, -1, coefficients, b, boundary);</div> <div class="line"> insertCoefficient(<span class="keywordtype">id</span>, i+1,j, -1, coefficients, b, boundary);</div> <div class="line"> insertCoefficient(<span class="keywordtype">id</span>, i,j-1, -1, coefficients, b, boundary);</div> <div class="line"> insertCoefficient(<span class="keywordtype">id</span>, i,j+1, -1, coefficients, b, boundary);</div> <div class="line"> insertCoefficient(<span class="keywordtype">id</span>, i,j, 4, coefficients, b, boundary);</div> <div class="line"> }</div> <div class="line"> }</div> <div class="line">}</div> <div class="line"></div> <div class="line"><span class="keywordtype">void</span> saveAsBitmap(<span class="keyword">const</span> <a class="code" href="classEigen_1_1Matrix.html">Eigen::VectorXd</a>& x, <span class="keywordtype">int</span> n, <span class="keyword">const</span> <span class="keywordtype">char</span>* filename)</div> <div class="line">{</div> <div class="line"> <a class="code" href="classEigen_1_1Array.html">Eigen::Array<unsigned char,Eigen::Dynamic,Eigen::Dynamic></a> bits = (x*255).cast<unsigned char>();</div> <div class="line"> QImage img(bits.<a class="code" href="classEigen_1_1PlainObjectBase.html#a40dcc334db75411e168691d9bce08c3a">data</a>(), n,n,QImage::Format_Indexed8);</div> <div class="line"> img.setColorCount(256);</div> <div class="line"> <span class="keywordflow">for</span>(<span class="keywordtype">int</span> i=0;i<256;i++) img.setColor(i,qRgb(i,i,i));</div> <div class="line"> img.save(filename);</div> <div class="line">}</div> </div><!-- fragment --> </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 11:04:27 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) ? 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