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 <ul>
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<li>create_symmetric_tridiagonal() : <a class="el" href="matrix_8cpp.html#a564688c96a8e4282e995a0663545d627">matrix.cpp</a>, <a class="el" href="matrix_8hpp.html#a564688c96a8e4282e995a0663545d627">matrix.hpp</a></li>
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|
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<p>Implementation of the jacobi rotation method.
|
||||
<a href="#details">More...</a></p>
|
||||
<div class="textblock"><code>#include <cmath></code><br />
|
||||
<code>#include "<a class="el" href="utils_8hpp_source.html">utils.hpp</a>"</code><br />
|
||||
<code>#include "<a class="el" href="jacobi_8hpp_source.html">jacobi.hpp</a>"</code><br />
|
||||
<code>#include "<a class="el" href="matrix_8hpp_source.html">matrix.hpp</a>"</code><br />
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||||
Functions</h2></td></tr>
|
||||
<tr class="memitem:a49809414937a1491ff04ec3dc780982a"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="jacobi_8cpp.html#a49809414937a1491ff04ec3dc780982a">jacobi_rotate</a> (arma::mat &A, arma::mat &R, int k, int l)</td></tr>
|
||||
<tr class="memdesc:a49809414937a1491ff04ec3dc780982a"><td class="mdescLeft"> </td><td class="mdescRight">Computes a single rotation. <br /></td></tr>
|
||||
<tr class="separator:a49809414937a1491ff04ec3dc780982a"><td class="memSeparator" colspan="2"> </td></tr>
|
||||
<tr class="memitem:a5a8da00df38bec1046249e8589a8aad0"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="jacobi_8cpp.html#a5a8da00df38bec1046249e8589a8aad0">jacobi_eigensolver</a> (const arma::mat &A, double eps, arma::vec &eigenvalues, arma::mat &eigenvectors, const int maxiter, int &iterations, bool &converged)</td></tr>
|
||||
<tr class="memdesc:a5a8da00df38bec1046249e8589a8aad0"><td class="mdescLeft"> </td><td class="mdescRight">Solves the eigenvalue problem using the jacobi rotation method. <br /></td></tr>
|
||||
<tr class="separator:a5a8da00df38bec1046249e8589a8aad0"><td class="memSeparator" colspan="2"> </td></tr>
|
||||
</table>
|
||||
<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
|
||||
<div class="textblock"><p>Implementation of the jacobi rotation method. </p>
|
||||
<dl class="section author"><dt>Author</dt><dd>Cory Alexander Balaton (coryab) </dd>
|
||||
<dd>
|
||||
Janita Ovidie Sandtrøen Willumsen (janitaws) </dd></dl>
|
||||
<dl class="bug"><dt><b><a class="el" href="bug.html#_bug000001">Bug:</a></b></dt><dd>The eigenvalues fail the test. When comparing them to arma::eigsym there is one value that is way off when testing with a 6x6 matrix. </dd></dl>
|
||||
</div><h2 class="groupheader">Function Documentation</h2>
|
||||
<a id="a5a8da00df38bec1046249e8589a8aad0" name="a5a8da00df38bec1046249e8589a8aad0"></a>
|
||||
<h2 class="memtitle"><span class="permalink"><a href="#a5a8da00df38bec1046249e8589a8aad0">◆ </a></span>jacobi_eigensolver()</h2>
|
||||
|
||||
<div class="memitem">
|
||||
<div class="memproto">
|
||||
<table class="memname">
|
||||
<tr>
|
||||
<td class="memname">void jacobi_eigensolver </td>
|
||||
<td>(</td>
|
||||
<td class="paramtype">const arma::mat & </td>
|
||||
<td class="paramname"><em>A</em>, </td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td class="paramkey"></td>
|
||||
<td></td>
|
||||
<td class="paramtype">double </td>
|
||||
<td class="paramname"><em>eps</em>, </td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td class="paramkey"></td>
|
||||
<td></td>
|
||||
<td class="paramtype">arma::vec & </td>
|
||||
<td class="paramname"><em>eigenvalues</em>, </td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td class="paramkey"></td>
|
||||
<td></td>
|
||||
<td class="paramtype">arma::mat & </td>
|
||||
<td class="paramname"><em>eigenvectors</em>, </td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td class="paramkey"></td>
|
||||
<td></td>
|
||||
<td class="paramtype">const int </td>
|
||||
<td class="paramname"><em>maxiter</em>, </td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td class="paramkey"></td>
|
||||
<td></td>
|
||||
<td class="paramtype">int & </td>
|
||||
<td class="paramname"><em>iterations</em>, </td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td class="paramkey"></td>
|
||||
<td></td>
|
||||
<td class="paramtype">bool & </td>
|
||||
<td class="paramname"><em>converged</em> </td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td></td>
|
||||
<td>)</td>
|
||||
<td></td><td></td>
|
||||
</tr>
|
||||
</table>
|
||||
</div><div class="memdoc">
|
||||
|
||||
<p>Solves the eigenvalue problem using the jacobi rotation method. </p>
|
||||
<p>Description</p>
|
||||
<dl class="params"><dt>Parameters</dt><dd>
|
||||
<table class="params">
|
||||
<tr><td class="paramname">A</td><td>The initial matrix to be solved </td></tr>
|
||||
<tr><td class="paramname">eps</td><td>Tolerance </td></tr>
|
||||
<tr><td class="paramname">eigenvalues</td><td>A vector that will contain the computed eigenvalues </td></tr>
|
||||
<tr><td class="paramname">eigenvectors</td><td>A Matrix that will contain the computed eigenvectors </td></tr>
|
||||
<tr><td class="paramname">maxiter</td><td>The max number of iterations allowed </td></tr>
|
||||
<tr><td class="paramname">iterations</td><td>To keep track of how many iterations the algorithm used </td></tr>
|
||||
<tr><td class="paramname">converged</td><td>Tells the user if the algorithm has converged</td></tr>
|
||||
</table>
|
||||
</dd>
|
||||
</dl>
|
||||
<dl class="section return"><dt>Returns</dt><dd>Void </dd></dl>
|
||||
|
||||
</div>
|
||||
</div>
|
||||
<a id="a49809414937a1491ff04ec3dc780982a" name="a49809414937a1491ff04ec3dc780982a"></a>
|
||||
<h2 class="memtitle"><span class="permalink"><a href="#a49809414937a1491ff04ec3dc780982a">◆ </a></span>jacobi_rotate()</h2>
|
||||
|
||||
<div class="memitem">
|
||||
<div class="memproto">
|
||||
<table class="memname">
|
||||
<tr>
|
||||
<td class="memname">void jacobi_rotate </td>
|
||||
<td>(</td>
|
||||
<td class="paramtype">arma::mat & </td>
|
||||
<td class="paramname"><em>A</em>, </td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td class="paramkey"></td>
|
||||
<td></td>
|
||||
<td class="paramtype">arma::mat & </td>
|
||||
<td class="paramname"><em>R</em>, </td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td class="paramkey"></td>
|
||||
<td></td>
|
||||
<td class="paramtype">int </td>
|
||||
<td class="paramname"><em>k</em>, </td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td class="paramkey"></td>
|
||||
<td></td>
|
||||
<td class="paramtype">int </td>
|
||||
<td class="paramname"><em>l</em> </td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td></td>
|
||||
<td>)</td>
|
||||
<td></td><td></td>
|
||||
</tr>
|
||||
</table>
|
||||
</div><div class="memdoc">
|
||||
|
||||
<p>Computes a single rotation. </p>
|
||||
<p>Description</p>
|
||||
<dl class="params"><dt>Parameters</dt><dd>
|
||||
<table class="params">
|
||||
<tr><td class="paramname">A</td><td>Matrix A<sup> (m) </sup> </td></tr>
|
||||
<tr><td class="paramname">R</td><td>The rotation matrix R<sup> (m) </sup> </td></tr>
|
||||
<tr><td class="paramname">k</td><td>Index of the row with the element of largest absolute value </td></tr>
|
||||
<tr><td class="paramname">l</td><td>Index of the column with the element of largest absolute value</td></tr>
|
||||
</table>
|
||||
</dd>
|
||||
</dl>
|
||||
<dl class="section return"><dt>Returns</dt><dd>Void </dd></dl>
|
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|
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<p>Function prototypes for the jacobi rotation algorithm.
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<a href="#details">More...</a></p>
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<div class="textblock"><code>#include <armadillo></code><br />
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<p><a href="jacobi_8hpp_source.html">Go to the source code of this file.</a></p>
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Functions</h2></td></tr>
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<tr class="memitem:a49809414937a1491ff04ec3dc780982a"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="jacobi_8hpp.html#a49809414937a1491ff04ec3dc780982a">jacobi_rotate</a> (arma::mat &A, arma::mat &R, int k, int l)</td></tr>
|
||||
<tr class="memdesc:a49809414937a1491ff04ec3dc780982a"><td class="mdescLeft"> </td><td class="mdescRight">Computes a single rotation. <br /></td></tr>
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<tr class="separator:a49809414937a1491ff04ec3dc780982a"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a5a8da00df38bec1046249e8589a8aad0"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="jacobi_8hpp.html#a5a8da00df38bec1046249e8589a8aad0">jacobi_eigensolver</a> (const arma::mat &A, double eps, arma::vec &eigenvalues, arma::mat &eigenvectors, const int maxiter, int &iterations, bool &converged)</td></tr>
|
||||
<tr class="memdesc:a5a8da00df38bec1046249e8589a8aad0"><td class="mdescLeft"> </td><td class="mdescRight">Solves the eigenvalue problem using the jacobi rotation method. <br /></td></tr>
|
||||
<tr class="separator:a5a8da00df38bec1046249e8589a8aad0"><td class="memSeparator" colspan="2"> </td></tr>
|
||||
</table>
|
||||
<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
|
||||
<div class="textblock"><p>Function prototypes for the jacobi rotation algorithm. </p>
|
||||
<dl class="section author"><dt>Author</dt><dd>Cory Alexander Balaton (coryab) </dd>
|
||||
<dd>
|
||||
Janita Ovidie Sandtrøen Willumsen (janitaws) </dd></dl>
|
||||
<dl class="bug"><dt><b><a class="el" href="bug.html#_bug000005">Bug:</a></b></dt><dd>No known bugs </dd></dl>
|
||||
</div><h2 class="groupheader">Function Documentation</h2>
|
||||
<a id="a5a8da00df38bec1046249e8589a8aad0" name="a5a8da00df38bec1046249e8589a8aad0"></a>
|
||||
<h2 class="memtitle"><span class="permalink"><a href="#a5a8da00df38bec1046249e8589a8aad0">◆ </a></span>jacobi_eigensolver()</h2>
|
||||
|
||||
<div class="memitem">
|
||||
<div class="memproto">
|
||||
<table class="memname">
|
||||
<tr>
|
||||
<td class="memname">void jacobi_eigensolver </td>
|
||||
<td>(</td>
|
||||
<td class="paramtype">const arma::mat & </td>
|
||||
<td class="paramname"><em>A</em>, </td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td class="paramkey"></td>
|
||||
<td></td>
|
||||
<td class="paramtype">double </td>
|
||||
<td class="paramname"><em>eps</em>, </td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td class="paramkey"></td>
|
||||
<td></td>
|
||||
<td class="paramtype">arma::vec & </td>
|
||||
<td class="paramname"><em>eigenvalues</em>, </td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td class="paramkey"></td>
|
||||
<td></td>
|
||||
<td class="paramtype">arma::mat & </td>
|
||||
<td class="paramname"><em>eigenvectors</em>, </td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td class="paramkey"></td>
|
||||
<td></td>
|
||||
<td class="paramtype">const int </td>
|
||||
<td class="paramname"><em>maxiter</em>, </td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td class="paramkey"></td>
|
||||
<td></td>
|
||||
<td class="paramtype">int & </td>
|
||||
<td class="paramname"><em>iterations</em>, </td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td class="paramkey"></td>
|
||||
<td></td>
|
||||
<td class="paramtype">bool & </td>
|
||||
<td class="paramname"><em>converged</em> </td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td></td>
|
||||
<td>)</td>
|
||||
<td></td><td></td>
|
||||
</tr>
|
||||
</table>
|
||||
</div><div class="memdoc">
|
||||
|
||||
<p>Solves the eigenvalue problem using the jacobi rotation method. </p>
|
||||
<p>Description</p>
|
||||
<dl class="params"><dt>Parameters</dt><dd>
|
||||
<table class="params">
|
||||
<tr><td class="paramname">A</td><td>The initial matrix to be solved </td></tr>
|
||||
<tr><td class="paramname">eps</td><td>Tolerance </td></tr>
|
||||
<tr><td class="paramname">eigenvalues</td><td>A vector that will contain the computed eigenvalues </td></tr>
|
||||
<tr><td class="paramname">eigenvectors</td><td>A Matrix that will contain the computed eigenvectors </td></tr>
|
||||
<tr><td class="paramname">maxiter</td><td>The max number of iterations allowed </td></tr>
|
||||
<tr><td class="paramname">iterations</td><td>To keep track of how many iterations the algorithm used </td></tr>
|
||||
<tr><td class="paramname">converged</td><td>Tells the user if the algorithm has converged</td></tr>
|
||||
</table>
|
||||
</dd>
|
||||
</dl>
|
||||
<dl class="section return"><dt>Returns</dt><dd>Void </dd></dl>
|
||||
|
||||
</div>
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||||
</div>
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||||
<a id="a49809414937a1491ff04ec3dc780982a" name="a49809414937a1491ff04ec3dc780982a"></a>
|
||||
<h2 class="memtitle"><span class="permalink"><a href="#a49809414937a1491ff04ec3dc780982a">◆ </a></span>jacobi_rotate()</h2>
|
||||
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||||
<div class="memitem">
|
||||
<div class="memproto">
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||||
<table class="memname">
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||||
<tr>
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||||
<td class="memname">void jacobi_rotate </td>
|
||||
<td>(</td>
|
||||
<td class="paramtype">arma::mat & </td>
|
||||
<td class="paramname"><em>A</em>, </td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td class="paramkey"></td>
|
||||
<td></td>
|
||||
<td class="paramtype">arma::mat & </td>
|
||||
<td class="paramname"><em>R</em>, </td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td class="paramkey"></td>
|
||||
<td></td>
|
||||
<td class="paramtype">int </td>
|
||||
<td class="paramname"><em>k</em>, </td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td class="paramkey"></td>
|
||||
<td></td>
|
||||
<td class="paramtype">int </td>
|
||||
<td class="paramname"><em>l</em> </td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td></td>
|
||||
<td>)</td>
|
||||
<td></td><td></td>
|
||||
</tr>
|
||||
</table>
|
||||
</div><div class="memdoc">
|
||||
|
||||
<p>Computes a single rotation. </p>
|
||||
<p>Description</p>
|
||||
<dl class="params"><dt>Parameters</dt><dd>
|
||||
<table class="params">
|
||||
<tr><td class="paramname">A</td><td>Matrix A<sup> (m) </sup> </td></tr>
|
||||
<tr><td class="paramname">R</td><td>The rotation matrix R<sup> (m) </sup> </td></tr>
|
||||
<tr><td class="paramname">k</td><td>Index of the row with the element of largest absolute value </td></tr>
|
||||
<tr><td class="paramname">l</td><td>Index of the column with the element of largest absolute value</td></tr>
|
||||
</table>
|
||||
</dd>
|
||||
</dl>
|
||||
<dl class="section return"><dt>Returns</dt><dd>Void </dd></dl>
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<a href="jacobi_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno"> 1</span> </div>
|
||||
<div class="line"><a id="l00008" name="l00008"></a><span class="lineno"> 8</span><span class="preprocessor">#ifndef __JACOBI__</span></div>
|
||||
<div class="line"><a id="l00009" name="l00009"></a><span class="lineno"> 9</span><span class="preprocessor">#define __JACOBI__</span></div>
|
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<div class="line"><a id="l00010" name="l00010"></a><span class="lineno"> 10</span> </div>
|
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<div class="line"><a id="l00011" name="l00011"></a><span class="lineno"> 11</span><span class="preprocessor">#include <armadillo></span></div>
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<div class="line"><a id="l00012" name="l00012"></a><span class="lineno"> 12</span> </div>
|
||||
<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span><span class="keywordtype">void</span> <a class="code hl_function" href="jacobi_8hpp.html#a49809414937a1491ff04ec3dc780982a">jacobi_rotate</a>(arma::mat& A, arma::mat& R, <span class="keywordtype">int</span> k, <span class="keywordtype">int</span> l);</div>
|
||||
<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"> 25</span> </div>
|
||||
<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span><span class="keywordtype">void</span> <a class="code hl_function" href="jacobi_8hpp.html#a5a8da00df38bec1046249e8589a8aad0">jacobi_eigensolver</a>(<span class="keyword">const</span> arma::mat& A, </div>
|
||||
<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span> <span class="keywordtype">double</span> eps, </div>
|
||||
<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span> arma::vec& eigenvalues, </div>
|
||||
<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span> arma::mat& eigenvectors, </div>
|
||||
<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span> <span class="keyword">const</span> <span class="keywordtype">int</span> maxiter, </div>
|
||||
<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span> <span class="keywordtype">int</span>& iterations, </div>
|
||||
<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span> <span class="keywordtype">bool</span>& converged);</div>
|
||||
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span> </div>
|
||||
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span><span class="preprocessor">#endif</span></div>
|
||||
<div class="ttc" id="ajacobi_8hpp_html_a49809414937a1491ff04ec3dc780982a"><div class="ttname"><a href="jacobi_8hpp.html#a49809414937a1491ff04ec3dc780982a">jacobi_rotate</a></div><div class="ttdeci">void jacobi_rotate(arma::mat &A, arma::mat &R, int k, int l)</div><div class="ttdoc">Computes a single rotation.</div><div class="ttdef"><b>Definition:</b> jacobi.cpp:15</div></div>
|
||||
<div class="ttc" id="ajacobi_8hpp_html_a5a8da00df38bec1046249e8589a8aad0"><div class="ttname"><a href="jacobi_8hpp.html#a5a8da00df38bec1046249e8589a8aad0">jacobi_eigensolver</a></div><div class="ttdeci">void jacobi_eigensolver(const arma::mat &A, double eps, arma::vec &eigenvalues, arma::mat &eigenvectors, const int maxiter, int &iterations, bool &converged)</div><div class="ttdoc">Solves the eigenvalue problem using the jacobi rotation method.</div><div class="ttdef"><b>Definition:</b> jacobi.cpp:54</div></div>
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<p>Function prototypes for creating tridiagonal matrices.
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="func-members" name="func-members"></a>
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Functions</h2></td></tr>
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<tr class="memitem:aa524feaf9f44790470df4cb99bb714af"><td class="memItemLeft" align="right" valign="top">arma::mat </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8cpp.html#aa524feaf9f44790470df4cb99bb714af">create_tridiagonal</a> (const arma::vec &a, const arma::vec &d, const arma::vec &e)</td></tr>
|
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<tr class="memdesc:aa524feaf9f44790470df4cb99bb714af"><td class="mdescLeft"> </td><td class="mdescRight">Create a tridiagonal matrix. <br /></td></tr>
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<tr class="separator:aa524feaf9f44790470df4cb99bb714af"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a65fae0d4bec72cf4f66764ed100f20ca"><td class="memItemLeft" align="right" valign="top">arma::mat </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8cpp.html#a65fae0d4bec72cf4f66764ed100f20ca">create_tridiagonal</a> (int n, double a, double d, double e)</td></tr>
|
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<tr class="memdesc:a65fae0d4bec72cf4f66764ed100f20ca"><td class="mdescLeft"> </td><td class="mdescRight">Create a tridiagonal matrix. <br /></td></tr>
|
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<tr class="memitem:a564688c96a8e4282e995a0663545d627"><td class="memItemLeft" align="right" valign="top">arma::mat </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8cpp.html#a564688c96a8e4282e995a0663545d627">create_symmetric_tridiagonal</a> (int n, double a, double d)</td></tr>
|
||||
<tr class="memdesc:a564688c96a8e4282e995a0663545d627"><td class="mdescLeft"> </td><td class="mdescRight">Create a symmetric tridiagonal matrix. <br /></td></tr>
|
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<tr class="separator:a564688c96a8e4282e995a0663545d627"><td class="memSeparator" colspan="2"> </td></tr>
|
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<tr class="memitem:af42e501cbf71bec9c77ececc22723df9"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8cpp.html#af42e501cbf71bec9c77ececc22723df9">max_offdiag_symmetric</a> (arma::mat &A, int &k, int &l)</td></tr>
|
||||
<tr class="memdesc:af42e501cbf71bec9c77ececc22723df9"><td class="mdescLeft"> </td><td class="mdescRight">Find the off-diagonal element with the largest absolute value. <br /></td></tr>
|
||||
<tr class="separator:af42e501cbf71bec9c77ececc22723df9"><td class="memSeparator" colspan="2"> </td></tr>
|
||||
</table>
|
||||
<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
|
||||
<div class="textblock"><p>Function prototypes for creating tridiagonal matrices. </p>
|
||||
<dl class="section author"><dt>Author</dt><dd>Cory Alexander Balaton (coryab) </dd>
|
||||
<dd>
|
||||
Janita Ovidie Sandtrøen Willumsen (janitaws) </dd></dl>
|
||||
<dl class="bug"><dt><b><a class="el" href="bug.html#_bug000002">Bug:</a></b></dt><dd>No known bugs </dd></dl>
|
||||
</div><h2 class="groupheader">Function Documentation</h2>
|
||||
<a id="a564688c96a8e4282e995a0663545d627" name="a564688c96a8e4282e995a0663545d627"></a>
|
||||
<h2 class="memtitle"><span class="permalink"><a href="#a564688c96a8e4282e995a0663545d627">◆ </a></span>create_symmetric_tridiagonal()</h2>
|
||||
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||||
<div class="memitem">
|
||||
<div class="memproto">
|
||||
<table class="memname">
|
||||
<tr>
|
||||
<td class="memname">arma::mat create_symmetric_tridiagonal </td>
|
||||
<td>(</td>
|
||||
<td class="paramtype">int </td>
|
||||
<td class="paramname"><em>n</em>, </td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td class="paramkey"></td>
|
||||
<td></td>
|
||||
<td class="paramtype">double </td>
|
||||
<td class="paramname"><em>a</em>, </td>
|
||||
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|
||||
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|
||||
<td class="paramkey"></td>
|
||||
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|
||||
<td class="paramtype">double </td>
|
||||
<td class="paramname"><em>d</em> </td>
|
||||
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|
||||
<tr>
|
||||
<td></td>
|
||||
<td>)</td>
|
||||
<td></td><td></td>
|
||||
</tr>
|
||||
</table>
|
||||
</div><div class="memdoc">
|
||||
|
||||
<p>Create a symmetric tridiagonal matrix. </p>
|
||||
<dl class="params"><dt>Parameters</dt><dd>
|
||||
<table class="params">
|
||||
<tr><td class="paramname">n</td><td>The dimensions of the tridiagonal matrix </td></tr>
|
||||
<tr><td class="paramname">a</td><td>The signature for the off diagonals </td></tr>
|
||||
<tr><td class="paramname">d</td><td>The signature for the main diagonal</td></tr>
|
||||
</table>
|
||||
</dd>
|
||||
</dl>
|
||||
<dl class="section return"><dt>Returns</dt><dd>arma::matrix </dd></dl>
|
||||
|
||||
</div>
|
||||
</div>
|
||||
<a id="aa524feaf9f44790470df4cb99bb714af" name="aa524feaf9f44790470df4cb99bb714af"></a>
|
||||
<h2 class="memtitle"><span class="permalink"><a href="#aa524feaf9f44790470df4cb99bb714af">◆ </a></span>create_tridiagonal() <span class="overload">[1/2]</span></h2>
|
||||
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||||
<div class="memitem">
|
||||
<div class="memproto">
|
||||
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||||
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|
||||
<td class="memname">arma::mat create_tridiagonal </td>
|
||||
<td>(</td>
|
||||
<td class="paramtype">const arma::vec & </td>
|
||||
<td class="paramname"><em>a</em>, </td>
|
||||
</tr>
|
||||
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|
||||
<td class="paramkey"></td>
|
||||
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|
||||
<td class="paramtype">const arma::vec & </td>
|
||||
<td class="paramname"><em>d</em>, </td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td class="paramkey"></td>
|
||||
<td></td>
|
||||
<td class="paramtype">const arma::vec & </td>
|
||||
<td class="paramname"><em>e</em> </td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td></td>
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||||
<td>)</td>
|
||||
<td></td><td></td>
|
||||
</tr>
|
||||
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|
||||
</div><div class="memdoc">
|
||||
|
||||
<p>Create a tridiagonal matrix. </p>
|
||||
<dl class="params"><dt>Parameters</dt><dd>
|
||||
<table class="params">
|
||||
<tr><td class="paramname">a</td><td>Vector for the lower diagonal of size N-1 </td></tr>
|
||||
<tr><td class="paramname">d</td><td>Vector for the main diagonal of size N </td></tr>
|
||||
<tr><td class="paramname">e</td><td>Vector for the upper diagonal of size N-1</td></tr>
|
||||
</table>
|
||||
</dd>
|
||||
</dl>
|
||||
<dl class="section return"><dt>Returns</dt><dd>arma::matrix </dd></dl>
|
||||
|
||||
</div>
|
||||
</div>
|
||||
<a id="a65fae0d4bec72cf4f66764ed100f20ca" name="a65fae0d4bec72cf4f66764ed100f20ca"></a>
|
||||
<h2 class="memtitle"><span class="permalink"><a href="#a65fae0d4bec72cf4f66764ed100f20ca">◆ </a></span>create_tridiagonal() <span class="overload">[2/2]</span></h2>
|
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<div class="memitem">
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||||
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||||
<tr>
|
||||
<td class="memname">arma::mat create_tridiagonal </td>
|
||||
<td>(</td>
|
||||
<td class="paramtype">int </td>
|
||||
<td class="paramname"><em>n</em>, </td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td class="paramkey"></td>
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||||
<td></td>
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||||
<td class="paramtype">double </td>
|
||||
<td class="paramname"><em>a</em>, </td>
|
||||
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|
||||
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|
||||
<td class="paramkey"></td>
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||||
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|
||||
<td class="paramtype">double </td>
|
||||
<td class="paramname"><em>d</em>, </td>
|
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|
||||
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|
||||
<td class="paramkey"></td>
|
||||
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|
||||
<td class="paramtype">double </td>
|
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<td class="paramname"><em>e</em> </td>
|
||||
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|
||||
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|
||||
</tr>
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||||
</div><div class="memdoc">
|
||||
|
||||
<p>Create a tridiagonal matrix. </p>
|
||||
<dl class="params"><dt>Parameters</dt><dd>
|
||||
<table class="params">
|
||||
<tr><td class="paramname">n</td><td>The dimensions of the tridiagonal matrix </td></tr>
|
||||
<tr><td class="paramname">a</td><td>The signature for the lower diagonal </td></tr>
|
||||
<tr><td class="paramname">d</td><td>The signature for the main diagonal </td></tr>
|
||||
<tr><td class="paramname">e</td><td>The signature for the upper diagonal</td></tr>
|
||||
</table>
|
||||
</dd>
|
||||
</dl>
|
||||
<dl class="section return"><dt>Returns</dt><dd>arma::matrix </dd></dl>
|
||||
|
||||
</div>
|
||||
</div>
|
||||
<a id="af42e501cbf71bec9c77ececc22723df9" name="af42e501cbf71bec9c77ececc22723df9"></a>
|
||||
<h2 class="memtitle"><span class="permalink"><a href="#af42e501cbf71bec9c77ececc22723df9">◆ </a></span>max_offdiag_symmetric()</h2>
|
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|
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<div class="memitem">
|
||||
<div class="memproto">
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||||
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<td class="memname">double max_offdiag_symmetric </td>
|
||||
<td>(</td>
|
||||
<td class="paramtype">arma::mat & </td>
|
||||
<td class="paramname"><em>A</em>, </td>
|
||||
</tr>
|
||||
<tr>
|
||||
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|
||||
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|
||||
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||||
<td class="paramname"><em>k</em>, </td>
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||||
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||||
<td class="paramkey"></td>
|
||||
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|
||||
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|
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|
||||
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|
||||
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<td></td>
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</tr>
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</div><div class="memdoc">
|
||||
|
||||
<p>Find the off-diagonal element with the largest absolute value. </p>
|
||||
<dl class="params"><dt>Parameters</dt><dd>
|
||||
<table class="params">
|
||||
<tr><td class="paramname">A</td><td>Symmetric matrix </td></tr>
|
||||
<tr><td class="paramname">k</td><td>Variable to store the row of the return value </td></tr>
|
||||
<tr><td class="paramname">l</td><td>Variable to store the column of the return value</td></tr>
|
||||
</table>
|
||||
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|
||||
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|
||||
<dl class="section return"><dt>Returns</dt><dd>Double </dd></dl>
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<p>Function prototypes for creating tridiagonal matrices.
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<div class="textblock"><code>#include <armadillo></code><br />
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<tr class="memitem:aa524feaf9f44790470df4cb99bb714af"><td class="memItemLeft" align="right" valign="top">arma::mat </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8hpp.html#aa524feaf9f44790470df4cb99bb714af">create_tridiagonal</a> (const arma::vec &a, const arma::vec &d, const arma::vec &e)</td></tr>
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<tr class="memdesc:aa524feaf9f44790470df4cb99bb714af"><td class="mdescLeft"> </td><td class="mdescRight">Create a tridiagonal matrix. <br /></td></tr>
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<tr class="separator:aa524feaf9f44790470df4cb99bb714af"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a65fae0d4bec72cf4f66764ed100f20ca"><td class="memItemLeft" align="right" valign="top">arma::mat </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8hpp.html#a65fae0d4bec72cf4f66764ed100f20ca">create_tridiagonal</a> (int n, double a, double d, double e)</td></tr>
|
||||
<tr class="memdesc:a65fae0d4bec72cf4f66764ed100f20ca"><td class="mdescLeft"> </td><td class="mdescRight">Create a tridiagonal matrix. <br /></td></tr>
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<tr class="separator:a65fae0d4bec72cf4f66764ed100f20ca"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a564688c96a8e4282e995a0663545d627"><td class="memItemLeft" align="right" valign="top">arma::mat </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8hpp.html#a564688c96a8e4282e995a0663545d627">create_symmetric_tridiagonal</a> (int n, double a, double d)</td></tr>
|
||||
<tr class="memdesc:a564688c96a8e4282e995a0663545d627"><td class="mdescLeft"> </td><td class="mdescRight">Create a symmetric tridiagonal matrix. <br /></td></tr>
|
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<tr class="separator:a564688c96a8e4282e995a0663545d627"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:af42e501cbf71bec9c77ececc22723df9"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8hpp.html#af42e501cbf71bec9c77ececc22723df9">max_offdiag_symmetric</a> (arma::mat &A, int &k, int &l)</td></tr>
|
||||
<tr class="memdesc:af42e501cbf71bec9c77ececc22723df9"><td class="mdescLeft"> </td><td class="mdescRight">Find the off-diagonal element with the largest absolute value. <br /></td></tr>
|
||||
<tr class="separator:af42e501cbf71bec9c77ececc22723df9"><td class="memSeparator" colspan="2"> </td></tr>
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||||
</table>
|
||||
<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
|
||||
<div class="textblock"><p>Function prototypes for creating tridiagonal matrices. </p>
|
||||
<dl class="section author"><dt>Author</dt><dd>Cory Alexander Balaton (coryab) </dd>
|
||||
<dd>
|
||||
Janita Ovidie Sandtrøen Willumsen (janitaws) </dd></dl>
|
||||
<dl class="bug"><dt><b><a class="el" href="bug.html#_bug000006">Bug:</a></b></dt><dd>No known bugs </dd></dl>
|
||||
</div><h2 class="groupheader">Function Documentation</h2>
|
||||
<a id="a564688c96a8e4282e995a0663545d627" name="a564688c96a8e4282e995a0663545d627"></a>
|
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<h2 class="memtitle"><span class="permalink"><a href="#a564688c96a8e4282e995a0663545d627">◆ </a></span>create_symmetric_tridiagonal()</h2>
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<div class="memitem">
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<div class="memproto">
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<table class="memname">
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<tr>
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<td class="memname">arma::mat create_symmetric_tridiagonal </td>
|
||||
<td>(</td>
|
||||
<td class="paramtype">int </td>
|
||||
<td class="paramname"><em>n</em>, </td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td class="paramkey"></td>
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<td></td>
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||||
<td class="paramtype">double </td>
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<td class="paramname"><em>a</em>, </td>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">double </td>
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<td class="paramname"><em>d</em> </td>
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</tr>
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<tr>
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<td></td>
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<td>)</td>
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<td></td><td></td>
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</tr>
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</table>
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</div><div class="memdoc">
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<p>Create a symmetric tridiagonal matrix. </p>
|
||||
<dl class="params"><dt>Parameters</dt><dd>
|
||||
<table class="params">
|
||||
<tr><td class="paramname">n</td><td>The dimensions of the tridiagonal matrix </td></tr>
|
||||
<tr><td class="paramname">a</td><td>The signature for the off diagonals </td></tr>
|
||||
<tr><td class="paramname">d</td><td>The signature for the main diagonal</td></tr>
|
||||
</table>
|
||||
</dd>
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</dl>
|
||||
<dl class="section return"><dt>Returns</dt><dd>arma::matrix </dd></dl>
|
||||
|
||||
</div>
|
||||
</div>
|
||||
<a id="aa524feaf9f44790470df4cb99bb714af" name="aa524feaf9f44790470df4cb99bb714af"></a>
|
||||
<h2 class="memtitle"><span class="permalink"><a href="#aa524feaf9f44790470df4cb99bb714af">◆ </a></span>create_tridiagonal() <span class="overload">[1/2]</span></h2>
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<td class="memname">arma::mat create_tridiagonal </td>
|
||||
<td>(</td>
|
||||
<td class="paramtype">const arma::vec & </td>
|
||||
<td class="paramname"><em>a</em>, </td>
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</tr>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">const arma::vec & </td>
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<td class="paramname"><em>d</em>, </td>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">const arma::vec & </td>
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<td class="paramname"><em>e</em> </td>
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</tr>
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<td></td>
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<td>)</td>
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<td></td><td></td>
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</tr>
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</div><div class="memdoc">
|
||||
|
||||
<p>Create a tridiagonal matrix. </p>
|
||||
<dl class="params"><dt>Parameters</dt><dd>
|
||||
<table class="params">
|
||||
<tr><td class="paramname">a</td><td>Vector for the lower diagonal of size N-1 </td></tr>
|
||||
<tr><td class="paramname">d</td><td>Vector for the main diagonal of size N </td></tr>
|
||||
<tr><td class="paramname">e</td><td>Vector for the upper diagonal of size N-1</td></tr>
|
||||
</table>
|
||||
</dd>
|
||||
</dl>
|
||||
<dl class="section return"><dt>Returns</dt><dd>arma::matrix </dd></dl>
|
||||
|
||||
</div>
|
||||
</div>
|
||||
<a id="a65fae0d4bec72cf4f66764ed100f20ca" name="a65fae0d4bec72cf4f66764ed100f20ca"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#a65fae0d4bec72cf4f66764ed100f20ca">◆ </a></span>create_tridiagonal() <span class="overload">[2/2]</span></h2>
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<div class="memitem">
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<td class="memname">arma::mat create_tridiagonal </td>
|
||||
<td>(</td>
|
||||
<td class="paramtype">int </td>
|
||||
<td class="paramname"><em>n</em>, </td>
|
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</tr>
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<tr>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">double </td>
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<td class="paramname"><em>a</em>, </td>
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</tr>
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||||
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">double </td>
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<td class="paramname"><em>d</em>, </td>
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||||
<td class="paramkey"></td>
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<td class="paramtype">double </td>
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<td class="paramname"><em>e</em> </td>
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<td>)</td>
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<td></td><td></td>
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</table>
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</div><div class="memdoc">
|
||||
|
||||
<p>Create a tridiagonal matrix. </p>
|
||||
<dl class="params"><dt>Parameters</dt><dd>
|
||||
<table class="params">
|
||||
<tr><td class="paramname">n</td><td>The dimensions of the tridiagonal matrix </td></tr>
|
||||
<tr><td class="paramname">a</td><td>The signature for the lower diagonal </td></tr>
|
||||
<tr><td class="paramname">d</td><td>The signature for the main diagonal </td></tr>
|
||||
<tr><td class="paramname">e</td><td>The signature for the upper diagonal</td></tr>
|
||||
</table>
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</dd>
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</dl>
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<dl class="section return"><dt>Returns</dt><dd>arma::matrix </dd></dl>
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</div>
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</div>
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<a id="af42e501cbf71bec9c77ececc22723df9" name="af42e501cbf71bec9c77ececc22723df9"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#af42e501cbf71bec9c77ececc22723df9">◆ </a></span>max_offdiag_symmetric()</h2>
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<td class="memname">double max_offdiag_symmetric </td>
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<td>(</td>
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<td class="paramtype">arma::mat & </td>
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<td class="paramname"><em>A</em>, </td>
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<td class="paramtype">int & </td>
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<td class="paramname"><em>k</em>, </td>
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<td class="paramkey"></td>
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<td class="paramname"><em>l</em> </td>
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<td></td>
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</tr>
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</table>
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</div><div class="memdoc">
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||||
|
||||
<p>Find the off-diagonal element with the largest absolute value. </p>
|
||||
<dl class="params"><dt>Parameters</dt><dd>
|
||||
<table class="params">
|
||||
<tr><td class="paramname">A</td><td>Symmetric matrix </td></tr>
|
||||
<tr><td class="paramname">k</td><td>Variable to store the row of the return value </td></tr>
|
||||
<tr><td class="paramname">l</td><td>Variable to store the column of the return value</td></tr>
|
||||
</table>
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</dl>
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<dl class="section return"><dt>Returns</dt><dd>Double </dd></dl>
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<a href="matrix_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno"> 1</span> </div>
|
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<div class="line"><a id="l00010" name="l00010"></a><span class="lineno"> 10</span><span class="preprocessor">#ifndef __MATRIX__</span></div>
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<div class="line"><a id="l00013" name="l00013"></a><span class="lineno"> 13</span><span class="preprocessor">#include <armadillo></span></div>
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<div class="line"><a id="l00014" name="l00014"></a><span class="lineno"> 14</span> </div>
|
||||
<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"> 23</span>arma::mat <a class="code hl_function" href="matrix_8hpp.html#aa524feaf9f44790470df4cb99bb714af">create_tridiagonal</a>(</div>
|
||||
<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span> <span class="keyword">const</span> arma::vec& a, </div>
|
||||
<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"> 25</span> <span class="keyword">const</span> arma::vec& d, </div>
|
||||
<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"> 26</span> <span class="keyword">const</span> arma::vec& e);</div>
|
||||
<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span> </div>
|
||||
<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span>arma::mat <a class="code hl_function" href="matrix_8hpp.html#aa524feaf9f44790470df4cb99bb714af">create_tridiagonal</a>(<span class="keywordtype">int</span> n, <span class="keywordtype">double</span> a, <span class="keywordtype">double</span> d, <span class="keywordtype">double</span> e);</div>
|
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<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span> </div>
|
||||
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span>arma::mat <a class="code hl_function" href="matrix_8hpp.html#a564688c96a8e4282e995a0663545d627">create_symmetric_tridiagonal</a>(<span class="keywordtype">int</span> n, <span class="keywordtype">double</span> a, <span class="keywordtype">double</span> d);</div>
|
||||
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span> </div>
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||||
<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span><span class="keywordtype">double</span> <a class="code hl_function" href="matrix_8hpp.html#af42e501cbf71bec9c77ececc22723df9">max_offdiag_symmetric</a>(arma::mat& A, <span class="keywordtype">int</span>& k, <span class="keywordtype">int</span>& l);</div>
|
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<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> </div>
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||||
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span><span class="preprocessor">#endif</span></div>
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<div class="ttc" id="amatrix_8hpp_html_a564688c96a8e4282e995a0663545d627"><div class="ttname"><a href="matrix_8hpp.html#a564688c96a8e4282e995a0663545d627">create_symmetric_tridiagonal</a></div><div class="ttdeci">arma::mat create_symmetric_tridiagonal(int n, double a, double d)</div><div class="ttdoc">Create a symmetric tridiagonal matrix.</div><div class="ttdef"><b>Definition:</b> matrix.cpp:44</div></div>
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@media(hover: none) {
|
||||
/* to avoid zooming on iOS */
|
||||
#MSearchField {
|
||||
font-size: 16px;
|
||||
}
|
||||
}
|
||||
|
||||
#MSearchBox .right {
|
||||
display: inline-block;
|
||||
vertical-align: middle;
|
||||
width: 1.4em;
|
||||
height: 1.4em;
|
||||
}
|
||||
|
||||
#MSearchClose {
|
||||
display: none;
|
||||
font-size: inherit;
|
||||
background : none;
|
||||
border: none;
|
||||
margin: 0;
|
||||
padding: 0;
|
||||
outline: none;
|
||||
|
||||
}
|
||||
|
||||
#MSearchCloseImg {
|
||||
padding: 0.3em;
|
||||
margin: 0;
|
||||
}
|
||||
|
||||
.MSearchBoxActive #MSearchField {
|
||||
color: var(--search-active-color);
|
||||
}
|
||||
|
||||
|
||||
|
||||
/*---------------- Search filter selection */
|
||||
|
||||
#MSearchSelectWindow {
|
||||
display: none;
|
||||
position: absolute;
|
||||
left: 0; top: 0;
|
||||
border: 1px solid var(--search-filter-border-color);
|
||||
background-color: var(--search-filter-background-color);
|
||||
z-index: 10001;
|
||||
padding-top: 4px;
|
||||
padding-bottom: 4px;
|
||||
-moz-border-radius: 4px;
|
||||
-webkit-border-top-left-radius: 4px;
|
||||
-webkit-border-top-right-radius: 4px;
|
||||
-webkit-border-bottom-left-radius: 4px;
|
||||
-webkit-border-bottom-right-radius: 4px;
|
||||
-webkit-box-shadow: 5px 5px 5px rgba(0, 0, 0, 0.15);
|
||||
}
|
||||
|
||||
.SelectItem {
|
||||
font: 8pt var(--font-family-search);
|
||||
padding-left: 2px;
|
||||
padding-right: 12px;
|
||||
border: 0px;
|
||||
}
|
||||
|
||||
span.SelectionMark {
|
||||
margin-right: 4px;
|
||||
font-family: var(--font-family-monospace);
|
||||
outline-style: none;
|
||||
text-decoration: none;
|
||||
}
|
||||
|
||||
a.SelectItem {
|
||||
display: block;
|
||||
outline-style: none;
|
||||
color: var(--search-filter-foreground-color);
|
||||
text-decoration: none;
|
||||
padding-left: 6px;
|
||||
padding-right: 12px;
|
||||
}
|
||||
|
||||
a.SelectItem:focus,
|
||||
a.SelectItem:active {
|
||||
color: var(--search-filter-foreground-color);
|
||||
outline-style: none;
|
||||
text-decoration: none;
|
||||
}
|
||||
|
||||
a.SelectItem:hover {
|
||||
color: var(--search-filter-highlight-text-color);
|
||||
background-color: var(--search-filter-highlight-bg-color);
|
||||
outline-style: none;
|
||||
text-decoration: none;
|
||||
cursor: pointer;
|
||||
display: block;
|
||||
}
|
||||
|
||||
/*---------------- Search results window */
|
||||
|
||||
iframe#MSearchResults {
|
||||
/*width: 60ex;*/
|
||||
height: 15em;
|
||||
}
|
||||
|
||||
#MSearchResultsWindow {
|
||||
display: none;
|
||||
position: absolute;
|
||||
left: 0; top: 0;
|
||||
border: 1px solid var(--search-results-border-color);
|
||||
background-color: var(--search-results-background-color);
|
||||
z-index:10000;
|
||||
width: 300px;
|
||||
height: 400px;
|
||||
overflow: auto;
|
||||
}
|
||||
|
||||
/* ----------------------------------- */
|
||||
|
||||
|
||||
#SRIndex {
|
||||
clear:both;
|
||||
}
|
||||
|
||||
.SREntry {
|
||||
font-size: 10pt;
|
||||
padding-left: 1ex;
|
||||
}
|
||||
|
||||
.SRPage .SREntry {
|
||||
font-size: 8pt;
|
||||
padding: 1px 5px;
|
||||
}
|
||||
|
||||
div.SRPage {
|
||||
margin: 5px 2px;
|
||||
background-color: var(--search-results-background-color);
|
||||
}
|
||||
|
||||
.SRChildren {
|
||||
padding-left: 3ex; padding-bottom: .5em
|
||||
}
|
||||
|
||||
.SRPage .SRChildren {
|
||||
display: none;
|
||||
}
|
||||
|
||||
.SRSymbol {
|
||||
font-weight: bold;
|
||||
color: var(--search-results-foreground-color);
|
||||
font-family: var(--font-family-search);
|
||||
text-decoration: none;
|
||||
outline: none;
|
||||
}
|
||||
|
||||
a.SRScope {
|
||||
display: block;
|
||||
color: var(--search-results-foreground-color);
|
||||
font-family: var(--font-family-search);
|
||||
font-size: 8pt;
|
||||
text-decoration: none;
|
||||
outline: none;
|
||||
}
|
||||
|
||||
a.SRSymbol:focus, a.SRSymbol:active,
|
||||
a.SRScope:focus, a.SRScope:active {
|
||||
text-decoration: underline;
|
||||
}
|
||||
|
||||
span.SRScope {
|
||||
padding-left: 4px;
|
||||
font-family: var(--font-family-search);
|
||||
}
|
||||
|
||||
.SRPage .SRStatus {
|
||||
padding: 2px 5px;
|
||||
font-size: 8pt;
|
||||
font-style: italic;
|
||||
font-family: var(--font-family-search);
|
||||
}
|
||||
|
||||
.SRResult {
|
||||
display: none;
|
||||
}
|
||||
|
||||
div.searchresults {
|
||||
margin-left: 10px;
|
||||
margin-right: 10px;
|
||||
}
|
||||
|
||||
/*---------------- External search page results */
|
||||
|
||||
.pages b {
|
||||
color: white;
|
||||
padding: 5px 5px 3px 5px;
|
||||
background-image: var(--nav-gradient-active-image-parent);
|
||||
background-repeat: repeat-x;
|
||||
text-shadow: 0 1px 1px #000000;
|
||||
}
|
||||
|
||||
.pages {
|
||||
line-height: 17px;
|
||||
margin-left: 4px;
|
||||
text-decoration: none;
|
||||
}
|
||||
|
||||
.hl {
|
||||
font-weight: bold;
|
||||
}
|
||||
|
||||
#searchresults {
|
||||
margin-bottom: 20px;
|
||||
}
|
||||
|
||||
.searchpages {
|
||||
margin-top: 10px;
|
||||
}
|
||||
|
||||
@ -1,816 +0,0 @@
|
||||
/*
|
||||
@licstart The following is the entire license notice for the JavaScript code in this file.
|
||||
|
||||
The MIT License (MIT)
|
||||
|
||||
Copyright (C) 1997-2020 by Dimitri van Heesch
|
||||
|
||||
Permission is hereby granted, free of charge, to any person obtaining a copy of this software
|
||||
and associated documentation files (the "Software"), to deal in the Software without restriction,
|
||||
including without limitation the rights to use, copy, modify, merge, publish, distribute,
|
||||
sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is
|
||||
furnished to do so, subject to the following conditions:
|
||||
|
||||
The above copyright notice and this permission notice shall be included in all copies or
|
||||
substantial portions of the Software.
|
||||
|
||||
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING
|
||||
BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
|
||||
NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM,
|
||||
DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
|
||||
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
|
||||
|
||||
@licend The above is the entire license notice for the JavaScript code in this file
|
||||
*/
|
||||
function convertToId(search)
|
||||
{
|
||||
var result = '';
|
||||
for (i=0;i<search.length;i++)
|
||||
{
|
||||
var c = search.charAt(i);
|
||||
var cn = c.charCodeAt(0);
|
||||
if (c.match(/[a-z0-9\u0080-\uFFFF]/))
|
||||
{
|
||||
result+=c;
|
||||
}
|
||||
else if (cn<16)
|
||||
{
|
||||
result+="_0"+cn.toString(16);
|
||||
}
|
||||
else
|
||||
{
|
||||
result+="_"+cn.toString(16);
|
||||
}
|
||||
}
|
||||
return result;
|
||||
}
|
||||
|
||||
function getXPos(item)
|
||||
{
|
||||
var x = 0;
|
||||
if (item.offsetWidth)
|
||||
{
|
||||
while (item && item!=document.body)
|
||||
{
|
||||
x += item.offsetLeft;
|
||||
item = item.offsetParent;
|
||||
}
|
||||
}
|
||||
return x;
|
||||
}
|
||||
|
||||
function getYPos(item)
|
||||
{
|
||||
var y = 0;
|
||||
if (item.offsetWidth)
|
||||
{
|
||||
while (item && item!=document.body)
|
||||
{
|
||||
y += item.offsetTop;
|
||||
item = item.offsetParent;
|
||||
}
|
||||
}
|
||||
return y;
|
||||
}
|
||||
|
||||
var searchResults = new SearchResults("searchResults");
|
||||
|
||||
/* A class handling everything associated with the search panel.
|
||||
|
||||
Parameters:
|
||||
name - The name of the global variable that will be
|
||||
storing this instance. Is needed to be able to set timeouts.
|
||||
resultPath - path to use for external files
|
||||
*/
|
||||
function SearchBox(name, resultsPath, extension)
|
||||
{
|
||||
if (!name || !resultsPath) { alert("Missing parameters to SearchBox."); }
|
||||
if (!extension || extension == "") { extension = ".html"; }
|
||||
|
||||
// ---------- Instance variables
|
||||
this.name = name;
|
||||
this.resultsPath = resultsPath;
|
||||
this.keyTimeout = 0;
|
||||
this.keyTimeoutLength = 500;
|
||||
this.closeSelectionTimeout = 300;
|
||||
this.lastSearchValue = "";
|
||||
this.lastResultsPage = "";
|
||||
this.hideTimeout = 0;
|
||||
this.searchIndex = 0;
|
||||
this.searchActive = false;
|
||||
this.extension = extension;
|
||||
|
||||
// ----------- DOM Elements
|
||||
|
||||
this.DOMSearchField = function()
|
||||
{ return document.getElementById("MSearchField"); }
|
||||
|
||||
this.DOMSearchSelect = function()
|
||||
{ return document.getElementById("MSearchSelect"); }
|
||||
|
||||
this.DOMSearchSelectWindow = function()
|
||||
{ return document.getElementById("MSearchSelectWindow"); }
|
||||
|
||||
this.DOMPopupSearchResults = function()
|
||||
{ return document.getElementById("MSearchResults"); }
|
||||
|
||||
this.DOMPopupSearchResultsWindow = function()
|
||||
{ return document.getElementById("MSearchResultsWindow"); }
|
||||
|
||||
this.DOMSearchClose = function()
|
||||
{ return document.getElementById("MSearchClose"); }
|
||||
|
||||
this.DOMSearchBox = function()
|
||||
{ return document.getElementById("MSearchBox"); }
|
||||
|
||||
// ------------ Event Handlers
|
||||
|
||||
// Called when focus is added or removed from the search field.
|
||||
this.OnSearchFieldFocus = function(isActive)
|
||||
{
|
||||
this.Activate(isActive);
|
||||
}
|
||||
|
||||
this.OnSearchSelectShow = function()
|
||||
{
|
||||
var searchSelectWindow = this.DOMSearchSelectWindow();
|
||||
var searchField = this.DOMSearchSelect();
|
||||
|
||||
var left = getXPos(searchField);
|
||||
var top = getYPos(searchField);
|
||||
top += searchField.offsetHeight;
|
||||
|
||||
// show search selection popup
|
||||
searchSelectWindow.style.display='block';
|
||||
searchSelectWindow.style.left = left + 'px';
|
||||
searchSelectWindow.style.top = top + 'px';
|
||||
|
||||
// stop selection hide timer
|
||||
if (this.hideTimeout)
|
||||
{
|
||||
clearTimeout(this.hideTimeout);
|
||||
this.hideTimeout=0;
|
||||
}
|
||||
return false; // to avoid "image drag" default event
|
||||
}
|
||||
|
||||
this.OnSearchSelectHide = function()
|
||||
{
|
||||
this.hideTimeout = setTimeout(this.name +".CloseSelectionWindow()",
|
||||
this.closeSelectionTimeout);
|
||||
}
|
||||
|
||||
// Called when the content of the search field is changed.
|
||||
this.OnSearchFieldChange = function(evt)
|
||||
{
|
||||
if (this.keyTimeout) // kill running timer
|
||||
{
|
||||
clearTimeout(this.keyTimeout);
|
||||
this.keyTimeout = 0;
|
||||
}
|
||||
|
||||
var e = (evt) ? evt : window.event; // for IE
|
||||
if (e.keyCode==40 || e.keyCode==13)
|
||||
{
|
||||
if (e.shiftKey==1)
|
||||
{
|
||||
this.OnSearchSelectShow();
|
||||
var win=this.DOMSearchSelectWindow();
|
||||
for (i=0;i<win.childNodes.length;i++)
|
||||
{
|
||||
var child = win.childNodes[i]; // get span within a
|
||||
if (child.className=='SelectItem')
|
||||
{
|
||||
child.focus();
|
||||
return;
|
||||
}
|
||||
}
|
||||
return;
|
||||
}
|
||||
else
|
||||
{
|
||||
var elem = searchResults.NavNext(0);
|
||||
if (elem) elem.focus();
|
||||
}
|
||||
}
|
||||
else if (e.keyCode==27) // Escape out of the search field
|
||||
{
|
||||
this.DOMSearchField().blur();
|
||||
this.DOMPopupSearchResultsWindow().style.display = 'none';
|
||||
this.DOMSearchClose().style.display = 'none';
|
||||
this.lastSearchValue = '';
|
||||
this.Activate(false);
|
||||
return;
|
||||
}
|
||||
|
||||
// strip whitespaces
|
||||
var searchValue = this.DOMSearchField().value.replace(/ +/g, "");
|
||||
|
||||
if (searchValue != this.lastSearchValue) // search value has changed
|
||||
{
|
||||
if (searchValue != "") // non-empty search
|
||||
{
|
||||
// set timer for search update
|
||||
this.keyTimeout = setTimeout(this.name + '.Search()',
|
||||
this.keyTimeoutLength);
|
||||
}
|
||||
else // empty search field
|
||||
{
|
||||
this.DOMPopupSearchResultsWindow().style.display = 'none';
|
||||
this.DOMSearchClose().style.display = 'none';
|
||||
this.lastSearchValue = '';
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
this.SelectItemCount = function(id)
|
||||
{
|
||||
var count=0;
|
||||
var win=this.DOMSearchSelectWindow();
|
||||
for (i=0;i<win.childNodes.length;i++)
|
||||
{
|
||||
var child = win.childNodes[i]; // get span within a
|
||||
if (child.className=='SelectItem')
|
||||
{
|
||||
count++;
|
||||
}
|
||||
}
|
||||
return count;
|
||||
}
|
||||
|
||||
this.SelectItemSet = function(id)
|
||||
{
|
||||
var i,j=0;
|
||||
var win=this.DOMSearchSelectWindow();
|
||||
for (i=0;i<win.childNodes.length;i++)
|
||||
{
|
||||
var child = win.childNodes[i]; // get span within a
|
||||
if (child.className=='SelectItem')
|
||||
{
|
||||
var node = child.firstChild;
|
||||
if (j==id)
|
||||
{
|
||||
node.innerHTML='•';
|
||||
}
|
||||
else
|
||||
{
|
||||
node.innerHTML=' ';
|
||||
}
|
||||
j++;
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
// Called when an search filter selection is made.
|
||||
// set item with index id as the active item
|
||||
this.OnSelectItem = function(id)
|
||||
{
|
||||
this.searchIndex = id;
|
||||
this.SelectItemSet(id);
|
||||
var searchValue = this.DOMSearchField().value.replace(/ +/g, "");
|
||||
if (searchValue!="" && this.searchActive) // something was found -> do a search
|
||||
{
|
||||
this.Search();
|
||||
}
|
||||
}
|
||||
|
||||
this.OnSearchSelectKey = function(evt)
|
||||
{
|
||||
var e = (evt) ? evt : window.event; // for IE
|
||||
if (e.keyCode==40 && this.searchIndex<this.SelectItemCount()) // Down
|
||||
{
|
||||
this.searchIndex++;
|
||||
this.OnSelectItem(this.searchIndex);
|
||||
}
|
||||
else if (e.keyCode==38 && this.searchIndex>0) // Up
|
||||
{
|
||||
this.searchIndex--;
|
||||
this.OnSelectItem(this.searchIndex);
|
||||
}
|
||||
else if (e.keyCode==13 || e.keyCode==27)
|
||||
{
|
||||
this.OnSelectItem(this.searchIndex);
|
||||
this.CloseSelectionWindow();
|
||||
this.DOMSearchField().focus();
|
||||
}
|
||||
return false;
|
||||
}
|
||||
|
||||
// --------- Actions
|
||||
|
||||
// Closes the results window.
|
||||
this.CloseResultsWindow = function()
|
||||
{
|
||||
this.DOMPopupSearchResultsWindow().style.display = 'none';
|
||||
this.DOMSearchClose().style.display = 'none';
|
||||
this.Activate(false);
|
||||
}
|
||||
|
||||
this.CloseSelectionWindow = function()
|
||||
{
|
||||
this.DOMSearchSelectWindow().style.display = 'none';
|
||||
}
|
||||
|
||||
// Performs a search.
|
||||
this.Search = function()
|
||||
{
|
||||
this.keyTimeout = 0;
|
||||
|
||||
// strip leading whitespace
|
||||
var searchValue = this.DOMSearchField().value.replace(/^ +/, "");
|
||||
|
||||
var code = searchValue.toLowerCase().charCodeAt(0);
|
||||
var idxChar = searchValue.substr(0, 1).toLowerCase();
|
||||
if ( 0xD800 <= code && code <= 0xDBFF && searchValue > 1) // surrogate pair
|
||||
{
|
||||
idxChar = searchValue.substr(0, 2);
|
||||
}
|
||||
|
||||
var jsFile;
|
||||
|
||||
var idx = indexSectionsWithContent[this.searchIndex].indexOf(idxChar);
|
||||
if (idx!=-1)
|
||||
{
|
||||
var hexCode=idx.toString(16);
|
||||
jsFile = this.resultsPath + indexSectionNames[this.searchIndex] + '_' + hexCode + '.js';
|
||||
}
|
||||
|
||||
var loadJS = function(url, impl, loc){
|
||||
var scriptTag = document.createElement('script');
|
||||
scriptTag.src = url;
|
||||
scriptTag.onload = impl;
|
||||
scriptTag.onreadystatechange = impl;
|
||||
loc.appendChild(scriptTag);
|
||||
}
|
||||
|
||||
var domPopupSearchResultsWindow = this.DOMPopupSearchResultsWindow();
|
||||
var domSearchBox = this.DOMSearchBox();
|
||||
var domPopupSearchResults = this.DOMPopupSearchResults();
|
||||
var domSearchClose = this.DOMSearchClose();
|
||||
var resultsPath = this.resultsPath;
|
||||
|
||||
var handleResults = function() {
|
||||
document.getElementById("Loading").style.display="none";
|
||||
if (typeof searchData !== 'undefined') {
|
||||
createResults(resultsPath);
|
||||
document.getElementById("NoMatches").style.display="none";
|
||||
}
|
||||
|
||||
searchResults.Search(searchValue);
|
||||
|
||||
if (domPopupSearchResultsWindow.style.display!='block')
|
||||
{
|
||||
domSearchClose.style.display = 'inline-block';
|
||||
var left = getXPos(domSearchBox) + 150;
|
||||
var top = getYPos(domSearchBox) + 20;
|
||||
domPopupSearchResultsWindow.style.display = 'block';
|
||||
left -= domPopupSearchResults.offsetWidth;
|
||||
var maxWidth = document.body.clientWidth;
|
||||
var maxHeight = document.body.clientHeight;
|
||||
var width = 300;
|
||||
if (left<10) left=10;
|
||||
if (width+left+8>maxWidth) width=maxWidth-left-8;
|
||||
var height = 400;
|
||||
if (height+top+8>maxHeight) height=maxHeight-top-8;
|
||||
domPopupSearchResultsWindow.style.top = top + 'px';
|
||||
domPopupSearchResultsWindow.style.left = left + 'px';
|
||||
domPopupSearchResultsWindow.style.width = width + 'px';
|
||||
domPopupSearchResultsWindow.style.height = height + 'px';
|
||||
}
|
||||
}
|
||||
|
||||
if (jsFile) {
|
||||
loadJS(jsFile, handleResults, this.DOMPopupSearchResultsWindow());
|
||||
} else {
|
||||
handleResults();
|
||||
}
|
||||
|
||||
this.lastSearchValue = searchValue;
|
||||
}
|
||||
|
||||
// -------- Activation Functions
|
||||
|
||||
// Activates or deactivates the search panel, resetting things to
|
||||
// their default values if necessary.
|
||||
this.Activate = function(isActive)
|
||||
{
|
||||
if (isActive || // open it
|
||||
this.DOMPopupSearchResultsWindow().style.display == 'block'
|
||||
)
|
||||
{
|
||||
this.DOMSearchBox().className = 'MSearchBoxActive';
|
||||
this.searchActive = true;
|
||||
}
|
||||
else if (!isActive) // directly remove the panel
|
||||
{
|
||||
this.DOMSearchBox().className = 'MSearchBoxInactive';
|
||||
this.searchActive = false;
|
||||
this.lastSearchValue = ''
|
||||
this.lastResultsPage = '';
|
||||
this.DOMSearchField().value = '';
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
// -----------------------------------------------------------------------
|
||||
|
||||
// The class that handles everything on the search results page.
|
||||
function SearchResults(name)
|
||||
{
|
||||
// The number of matches from the last run of <Search()>.
|
||||
this.lastMatchCount = 0;
|
||||
this.lastKey = 0;
|
||||
this.repeatOn = false;
|
||||
|
||||
// Toggles the visibility of the passed element ID.
|
||||
this.FindChildElement = function(id)
|
||||
{
|
||||
var parentElement = document.getElementById(id);
|
||||
var element = parentElement.firstChild;
|
||||
|
||||
while (element && element!=parentElement)
|
||||
{
|
||||
if (element.nodeName.toLowerCase() == 'div' && element.className == 'SRChildren')
|
||||
{
|
||||
return element;
|
||||
}
|
||||
|
||||
if (element.nodeName.toLowerCase() == 'div' && element.hasChildNodes())
|
||||
{
|
||||
element = element.firstChild;
|
||||
}
|
||||
else if (element.nextSibling)
|
||||
{
|
||||
element = element.nextSibling;
|
||||
}
|
||||
else
|
||||
{
|
||||
do
|
||||
{
|
||||
element = element.parentNode;
|
||||
}
|
||||
while (element && element!=parentElement && !element.nextSibling);
|
||||
|
||||
if (element && element!=parentElement)
|
||||
{
|
||||
element = element.nextSibling;
|
||||
}
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
this.Toggle = function(id)
|
||||
{
|
||||
var element = this.FindChildElement(id);
|
||||
if (element)
|
||||
{
|
||||
if (element.style.display == 'block')
|
||||
{
|
||||
element.style.display = 'none';
|
||||
}
|
||||
else
|
||||
{
|
||||
element.style.display = 'block';
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
// Searches for the passed string. If there is no parameter,
|
||||
// it takes it from the URL query.
|
||||
//
|
||||
// Always returns true, since other documents may try to call it
|
||||
// and that may or may not be possible.
|
||||
this.Search = function(search)
|
||||
{
|
||||
if (!search) // get search word from URL
|
||||
{
|
||||
search = window.location.search;
|
||||
search = search.substring(1); // Remove the leading '?'
|
||||
search = unescape(search);
|
||||
}
|
||||
|
||||
search = search.replace(/^ +/, ""); // strip leading spaces
|
||||
search = search.replace(/ +$/, ""); // strip trailing spaces
|
||||
search = search.toLowerCase();
|
||||
search = convertToId(search);
|
||||
|
||||
var resultRows = document.getElementsByTagName("div");
|
||||
var matches = 0;
|
||||
|
||||
var i = 0;
|
||||
while (i < resultRows.length)
|
||||
{
|
||||
var row = resultRows.item(i);
|
||||
if (row.className == "SRResult")
|
||||
{
|
||||
var rowMatchName = row.id.toLowerCase();
|
||||
rowMatchName = rowMatchName.replace(/^sr\d*_/, ''); // strip 'sr123_'
|
||||
|
||||
if (search.length<=rowMatchName.length &&
|
||||
rowMatchName.substr(0, search.length)==search)
|
||||
{
|
||||
row.style.display = 'block';
|
||||
matches++;
|
||||
}
|
||||
else
|
||||
{
|
||||
row.style.display = 'none';
|
||||
}
|
||||
}
|
||||
i++;
|
||||
}
|
||||
document.getElementById("Searching").style.display='none';
|
||||
if (matches == 0) // no results
|
||||
{
|
||||
document.getElementById("NoMatches").style.display='block';
|
||||
}
|
||||
else // at least one result
|
||||
{
|
||||
document.getElementById("NoMatches").style.display='none';
|
||||
}
|
||||
this.lastMatchCount = matches;
|
||||
return true;
|
||||
}
|
||||
|
||||
// return the first item with index index or higher that is visible
|
||||
this.NavNext = function(index)
|
||||
{
|
||||
var focusItem;
|
||||
while (1)
|
||||
{
|
||||
var focusName = 'Item'+index;
|
||||
focusItem = document.getElementById(focusName);
|
||||
if (focusItem && focusItem.parentNode.parentNode.style.display=='block')
|
||||
{
|
||||
break;
|
||||
}
|
||||
else if (!focusItem) // last element
|
||||
{
|
||||
break;
|
||||
}
|
||||
focusItem=null;
|
||||
index++;
|
||||
}
|
||||
return focusItem;
|
||||
}
|
||||
|
||||
this.NavPrev = function(index)
|
||||
{
|
||||
var focusItem;
|
||||
while (1)
|
||||
{
|
||||
var focusName = 'Item'+index;
|
||||
focusItem = document.getElementById(focusName);
|
||||
if (focusItem && focusItem.parentNode.parentNode.style.display=='block')
|
||||
{
|
||||
break;
|
||||
}
|
||||
else if (!focusItem) // last element
|
||||
{
|
||||
break;
|
||||
}
|
||||
focusItem=null;
|
||||
index--;
|
||||
}
|
||||
return focusItem;
|
||||
}
|
||||
|
||||
this.ProcessKeys = function(e)
|
||||
{
|
||||
if (e.type == "keydown")
|
||||
{
|
||||
this.repeatOn = false;
|
||||
this.lastKey = e.keyCode;
|
||||
}
|
||||
else if (e.type == "keypress")
|
||||
{
|
||||
if (!this.repeatOn)
|
||||
{
|
||||
if (this.lastKey) this.repeatOn = true;
|
||||
return false; // ignore first keypress after keydown
|
||||
}
|
||||
}
|
||||
else if (e.type == "keyup")
|
||||
{
|
||||
this.lastKey = 0;
|
||||
this.repeatOn = false;
|
||||
}
|
||||
return this.lastKey!=0;
|
||||
}
|
||||
|
||||
this.Nav = function(evt,itemIndex)
|
||||
{
|
||||
var e = (evt) ? evt : window.event; // for IE
|
||||
if (e.keyCode==13) return true;
|
||||
if (!this.ProcessKeys(e)) return false;
|
||||
|
||||
if (this.lastKey==38) // Up
|
||||
{
|
||||
var newIndex = itemIndex-1;
|
||||
var focusItem = this.NavPrev(newIndex);
|
||||
if (focusItem)
|
||||
{
|
||||
var child = this.FindChildElement(focusItem.parentNode.parentNode.id);
|
||||
if (child && child.style.display == 'block') // children visible
|
||||
{
|
||||
var n=0;
|
||||
var tmpElem;
|
||||
while (1) // search for last child
|
||||
{
|
||||
tmpElem = document.getElementById('Item'+newIndex+'_c'+n);
|
||||
if (tmpElem)
|
||||
{
|
||||
focusItem = tmpElem;
|
||||
}
|
||||
else // found it!
|
||||
{
|
||||
break;
|
||||
}
|
||||
n++;
|
||||
}
|
||||
}
|
||||
}
|
||||
if (focusItem)
|
||||
{
|
||||
focusItem.focus();
|
||||
}
|
||||
else // return focus to search field
|
||||
{
|
||||
document.getElementById("MSearchField").focus();
|
||||
}
|
||||
}
|
||||
else if (this.lastKey==40) // Down
|
||||
{
|
||||
var newIndex = itemIndex+1;
|
||||
var focusItem;
|
||||
var item = document.getElementById('Item'+itemIndex);
|
||||
var elem = this.FindChildElement(item.parentNode.parentNode.id);
|
||||
if (elem && elem.style.display == 'block') // children visible
|
||||
{
|
||||
focusItem = document.getElementById('Item'+itemIndex+'_c0');
|
||||
}
|
||||
if (!focusItem) focusItem = this.NavNext(newIndex);
|
||||
if (focusItem) focusItem.focus();
|
||||
}
|
||||
else if (this.lastKey==39) // Right
|
||||
{
|
||||
var item = document.getElementById('Item'+itemIndex);
|
||||
var elem = this.FindChildElement(item.parentNode.parentNode.id);
|
||||
if (elem) elem.style.display = 'block';
|
||||
}
|
||||
else if (this.lastKey==37) // Left
|
||||
{
|
||||
var item = document.getElementById('Item'+itemIndex);
|
||||
var elem = this.FindChildElement(item.parentNode.parentNode.id);
|
||||
if (elem) elem.style.display = 'none';
|
||||
}
|
||||
else if (this.lastKey==27) // Escape
|
||||
{
|
||||
searchBox.CloseResultsWindow();
|
||||
document.getElementById("MSearchField").focus();
|
||||
}
|
||||
else if (this.lastKey==13) // Enter
|
||||
{
|
||||
return true;
|
||||
}
|
||||
return false;
|
||||
}
|
||||
|
||||
this.NavChild = function(evt,itemIndex,childIndex)
|
||||
{
|
||||
var e = (evt) ? evt : window.event; // for IE
|
||||
if (e.keyCode==13) return true;
|
||||
if (!this.ProcessKeys(e)) return false;
|
||||
|
||||
if (this.lastKey==38) // Up
|
||||
{
|
||||
if (childIndex>0)
|
||||
{
|
||||
var newIndex = childIndex-1;
|
||||
document.getElementById('Item'+itemIndex+'_c'+newIndex).focus();
|
||||
}
|
||||
else // already at first child, jump to parent
|
||||
{
|
||||
document.getElementById('Item'+itemIndex).focus();
|
||||
}
|
||||
}
|
||||
else if (this.lastKey==40) // Down
|
||||
{
|
||||
var newIndex = childIndex+1;
|
||||
var elem = document.getElementById('Item'+itemIndex+'_c'+newIndex);
|
||||
if (!elem) // last child, jump to parent next parent
|
||||
{
|
||||
elem = this.NavNext(itemIndex+1);
|
||||
}
|
||||
if (elem)
|
||||
{
|
||||
elem.focus();
|
||||
}
|
||||
}
|
||||
else if (this.lastKey==27) // Escape
|
||||
{
|
||||
searchBox.CloseResultsWindow();
|
||||
document.getElementById("MSearchField").focus();
|
||||
}
|
||||
else if (this.lastKey==13) // Enter
|
||||
{
|
||||
return true;
|
||||
}
|
||||
return false;
|
||||
}
|
||||
}
|
||||
|
||||
function setKeyActions(elem,action)
|
||||
{
|
||||
elem.setAttribute('onkeydown',action);
|
||||
elem.setAttribute('onkeypress',action);
|
||||
elem.setAttribute('onkeyup',action);
|
||||
}
|
||||
|
||||
function setClassAttr(elem,attr)
|
||||
{
|
||||
elem.setAttribute('class',attr);
|
||||
elem.setAttribute('className',attr);
|
||||
}
|
||||
|
||||
function createResults(resultsPath)
|
||||
{
|
||||
var results = document.getElementById("SRResults");
|
||||
results.innerHTML = '';
|
||||
for (var e=0; e<searchData.length; e++)
|
||||
{
|
||||
var id = searchData[e][0];
|
||||
var srResult = document.createElement('div');
|
||||
srResult.setAttribute('id','SR_'+id);
|
||||
setClassAttr(srResult,'SRResult');
|
||||
var srEntry = document.createElement('div');
|
||||
setClassAttr(srEntry,'SREntry');
|
||||
var srLink = document.createElement('a');
|
||||
srLink.setAttribute('id','Item'+e);
|
||||
setKeyActions(srLink,'return searchResults.Nav(event,'+e+')');
|
||||
setClassAttr(srLink,'SRSymbol');
|
||||
srLink.innerHTML = searchData[e][1][0];
|
||||
srEntry.appendChild(srLink);
|
||||
if (searchData[e][1].length==2) // single result
|
||||
{
|
||||
srLink.setAttribute('href',resultsPath+searchData[e][1][1][0]);
|
||||
srLink.setAttribute('onclick','searchBox.CloseResultsWindow()');
|
||||
if (searchData[e][1][1][1])
|
||||
{
|
||||
srLink.setAttribute('target','_parent');
|
||||
}
|
||||
else
|
||||
{
|
||||
srLink.setAttribute('target','_blank');
|
||||
}
|
||||
var srScope = document.createElement('span');
|
||||
setClassAttr(srScope,'SRScope');
|
||||
srScope.innerHTML = searchData[e][1][1][2];
|
||||
srEntry.appendChild(srScope);
|
||||
}
|
||||
else // multiple results
|
||||
{
|
||||
srLink.setAttribute('href','javascript:searchResults.Toggle("SR_'+id+'")');
|
||||
var srChildren = document.createElement('div');
|
||||
setClassAttr(srChildren,'SRChildren');
|
||||
for (var c=0; c<searchData[e][1].length-1; c++)
|
||||
{
|
||||
var srChild = document.createElement('a');
|
||||
srChild.setAttribute('id','Item'+e+'_c'+c);
|
||||
setKeyActions(srChild,'return searchResults.NavChild(event,'+e+','+c+')');
|
||||
setClassAttr(srChild,'SRScope');
|
||||
srChild.setAttribute('href',resultsPath+searchData[e][1][c+1][0]);
|
||||
srChild.setAttribute('onclick','searchBox.CloseResultsWindow()');
|
||||
if (searchData[e][1][c+1][1])
|
||||
{
|
||||
srChild.setAttribute('target','_parent');
|
||||
}
|
||||
else
|
||||
{
|
||||
srChild.setAttribute('target','_blank');
|
||||
}
|
||||
srChild.innerHTML = searchData[e][1][c+1][2];
|
||||
srChildren.appendChild(srChild);
|
||||
}
|
||||
srEntry.appendChild(srChildren);
|
||||
}
|
||||
srResult.appendChild(srEntry);
|
||||
results.appendChild(srResult);
|
||||
}
|
||||
}
|
||||
|
||||
function init_search()
|
||||
{
|
||||
var results = document.getElementById("MSearchSelectWindow");
|
||||
for (var key in indexSectionLabels)
|
||||
{
|
||||
var link = document.createElement('a');
|
||||
link.setAttribute('class','SelectItem');
|
||||
link.setAttribute('onclick','searchBox.OnSelectItem('+key+')');
|
||||
link.href='javascript:void(0)';
|
||||
link.innerHTML='<span class="SelectionMark"> </span>'+indexSectionLabels[key];
|
||||
results.appendChild(link);
|
||||
}
|
||||
searchBox.OnSelectItem(0);
|
||||
}
|
||||
/* @license-end */
|
||||
@ -1,27 +0,0 @@
|
||||
var indexSectionsWithContent =
|
||||
{
|
||||
0: "bcdjmstu",
|
||||
1: "jmtu",
|
||||
2: "cjms",
|
||||
3: "d",
|
||||
4: "b"
|
||||
};
|
||||
|
||||
var indexSectionNames =
|
||||
{
|
||||
0: "all",
|
||||
1: "files",
|
||||
2: "functions",
|
||||
3: "defines",
|
||||
4: "pages"
|
||||
};
|
||||
|
||||
var indexSectionLabels =
|
||||
{
|
||||
0: "All",
|
||||
1: "Files",
|
||||
2: "Functions",
|
||||
3: "Macros",
|
||||
4: "Pages"
|
||||
};
|
||||
|
||||
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|
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@ -1,115 +0,0 @@
|
||||
<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "https://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
|
||||
<html xmlns="http://www.w3.org/1999/xhtml" lang="en-US">
|
||||
<head>
|
||||
<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
|
||||
<meta http-equiv="X-UA-Compatible" content="IE=11"/>
|
||||
<meta name="generator" content="Doxygen 1.9.6"/>
|
||||
<meta name="viewport" content="width=device-width, initial-scale=1"/>
|
||||
<title>FYS3150: Project 2: test_suite.cpp File Reference</title>
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<p>Test suite for project 2.
|
||||
<a href="#details">More...</a></p>
|
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<div class="textblock"><code>#include <cassert></code><br />
|
||||
<code>#include <cmath></code><br />
|
||||
<code>#include <iostream></code><br />
|
||||
<code>#include "<a class="el" href="utils_8hpp_source.html">utils.hpp</a>"</code><br />
|
||||
<code>#include "<a class="el" href="matrix_8hpp_source.html">matrix.hpp</a>"</code><br />
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<code>#include "<a class="el" href="jacobi_8hpp_source.html">jacobi.hpp</a>"</code><br />
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="func-members" name="func-members"></a>
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Functions</h2></td></tr>
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<tr class="memitem:a794d4e8b08c11fc56de56d283699a802"><td class="memItemLeft" align="right" valign="top"><a id="a794d4e8b08c11fc56de56d283699a802" name="a794d4e8b08c11fc56de56d283699a802"></a>
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void </td><td class="memItemRight" valign="bottom"><b>test_create_symmetric_tridiagonal</b> ()</td></tr>
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<tr class="separator:a794d4e8b08c11fc56de56d283699a802"><td class="memSeparator" colspan="2"> </td></tr>
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void </td><td class="memItemRight" valign="bottom"><b>test_max_off_diag_symmetric</b> ()</td></tr>
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<tr class="separator:a82cff863233ef84fe0c15742fc86d97f"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a0c084c75b3641507b4fa0ff0fd570dea"><td class="memItemLeft" align="right" valign="top"><a id="a0c084c75b3641507b4fa0ff0fd570dea" name="a0c084c75b3641507b4fa0ff0fd570dea"></a>
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void </td><td class="memItemRight" valign="bottom"><b>test_jacobi_eigensolver</b> ()</td></tr>
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<tr class="separator:a0c084c75b3641507b4fa0ff0fd570dea"><td class="memSeparator" colspan="2"> </td></tr>
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int </td><td class="memItemRight" valign="bottom"><b>main</b> ()</td></tr>
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<tr class="separator:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memSeparator" colspan="2"> </td></tr>
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</table>
|
||||
<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
|
||||
<div class="textblock"><p>Test suite for project 2. </p>
|
||||
<p>This is where all the tests for the project are implemented. The tests test the creation of symmetrical tridiagonals, finding the largest off-diagonal absolute value of a symmetric matrix, and the Jacobi rotation method.</p>
|
||||
<dl class="section author"><dt>Author</dt><dd>Cory Alexander Balaton (coryab) </dd>
|
||||
<dd>
|
||||
Janita Ovidie Sandtrøen Willumsen (janitaws) </dd></dl>
|
||||
<dl class="bug"><dt><b><a class="el" href="bug.html#_bug000003">Bug:</a></b></dt><dd>No known bugs </dd></dl>
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<p>Implementation of the utils.
|
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<div class="textblock"><code>#include "<a class="el" href="utils_8hpp_source.html">utils.hpp</a>"</code><br />
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="func-members" name="func-members"></a>
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Functions</h2></td></tr>
|
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<tr class="memitem:acd2a9c7a7d5a7fe9163be8c4cc110746"><td class="memItemLeft" align="right" valign="top">std::string </td><td class="memItemRight" valign="bottom"><a class="el" href="utils_8cpp.html#acd2a9c7a7d5a7fe9163be8c4cc110746">scientific_format</a> (double d, int width, int prec)</td></tr>
|
||||
<tr class="memdesc:acd2a9c7a7d5a7fe9163be8c4cc110746"><td class="mdescLeft"> </td><td class="mdescRight">Turns a double into a string written in scientific format. <br /></td></tr>
|
||||
<tr class="separator:acd2a9c7a7d5a7fe9163be8c4cc110746"><td class="memSeparator" colspan="2"> </td></tr>
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||||
<tr class="memitem:a58565270b643b24e3132f38c653e0199"><td class="memItemLeft" align="right" valign="top">std::string </td><td class="memItemRight" valign="bottom"><a class="el" href="utils_8cpp.html#a58565270b643b24e3132f38c653e0199">scientific_format</a> (const std::vector< double > &v, int width, int prec)</td></tr>
|
||||
<tr class="memdesc:a58565270b643b24e3132f38c653e0199"><td class="mdescLeft"> </td><td class="mdescRight">Turns a vector of doubles into a string written in scientific format. <br /></td></tr>
|
||||
<tr class="separator:a58565270b643b24e3132f38c653e0199"><td class="memSeparator" colspan="2"> </td></tr>
|
||||
</table>
|
||||
<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
|
||||
<div class="textblock"><p>Implementation of the utils. </p>
|
||||
<dl class="section author"><dt>Author</dt><dd>Cory Alexander Balaton (coryab) </dd>
|
||||
<dd>
|
||||
Janita Ovidie Sandtrøen Willumsen (janitaws) </dd></dl>
|
||||
<dl class="bug"><dt><b><a class="el" href="bug.html#_bug000004">Bug:</a></b></dt><dd>No known bugs </dd></dl>
|
||||
</div><h2 class="groupheader">Function Documentation</h2>
|
||||
<a id="a58565270b643b24e3132f38c653e0199" name="a58565270b643b24e3132f38c653e0199"></a>
|
||||
<h2 class="memtitle"><span class="permalink"><a href="#a58565270b643b24e3132f38c653e0199">◆ </a></span>scientific_format() <span class="overload">[1/2]</span></h2>
|
||||
|
||||
<div class="memitem">
|
||||
<div class="memproto">
|
||||
<table class="memname">
|
||||
<tr>
|
||||
<td class="memname">std::string scientific_format </td>
|
||||
<td>(</td>
|
||||
<td class="paramtype">const std::vector< double > & </td>
|
||||
<td class="paramname"><em>v</em>, </td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td class="paramkey"></td>
|
||||
<td></td>
|
||||
<td class="paramtype">int </td>
|
||||
<td class="paramname"><em>width</em> = <code>20</code>, </td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td class="paramkey"></td>
|
||||
<td></td>
|
||||
<td class="paramtype">int </td>
|
||||
<td class="paramname"><em>prec</em> = <code>10</code> </td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td></td>
|
||||
<td>)</td>
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<td></td><td></td>
|
||||
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|
||||
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|
||||
</div><div class="memdoc">
|
||||
|
||||
<p>Turns a vector of doubles into a string written in scientific format. </p>
|
||||
<dl class="params"><dt>Parameters</dt><dd>
|
||||
<table class="params">
|
||||
<tr><td class="paramname">v</td><td>The vector to stringify </td></tr>
|
||||
<tr><td class="paramname">width</td><td>The reserved width of the string </td></tr>
|
||||
<tr><td class="paramname">prec</td><td>The precision of the stringified number</td></tr>
|
||||
</table>
|
||||
</dd>
|
||||
</dl>
|
||||
<dl class="section return"><dt>Returns</dt><dd>String </dd></dl>
|
||||
|
||||
</div>
|
||||
</div>
|
||||
<a id="acd2a9c7a7d5a7fe9163be8c4cc110746" name="acd2a9c7a7d5a7fe9163be8c4cc110746"></a>
|
||||
<h2 class="memtitle"><span class="permalink"><a href="#acd2a9c7a7d5a7fe9163be8c4cc110746">◆ </a></span>scientific_format() <span class="overload">[2/2]</span></h2>
|
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||||
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|
||||
<div class="memproto">
|
||||
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|
||||
<tr>
|
||||
<td class="memname">std::string scientific_format </td>
|
||||
<td>(</td>
|
||||
<td class="paramtype">double </td>
|
||||
<td class="paramname"><em>d</em>, </td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td class="paramkey"></td>
|
||||
<td></td>
|
||||
<td class="paramtype">int </td>
|
||||
<td class="paramname"><em>width</em> = <code>20</code>, </td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td class="paramkey"></td>
|
||||
<td></td>
|
||||
<td class="paramtype">int </td>
|
||||
<td class="paramname"><em>prec</em> = <code>10</code> </td>
|
||||
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|
||||
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|
||||
<td></td>
|
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<td>)</td>
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<td></td><td></td>
|
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||||
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||||
</div><div class="memdoc">
|
||||
|
||||
<p>Turns a double into a string written in scientific format. </p>
|
||||
<p>Code stolen from <a href="https://github.com/anderkve/FYS3150">https://github.com/anderkve/FYS3150</a> Header: <a href="https://github.com/anderkve/FYS3150/blob/master/code_examples/compilation_linking/example_1/include/utils.hpp">https://github.com/anderkve/FYS3150/blob/master/code_examples/compilation_linking/example_1/include/utils.hpp</a> Source: <a href="https://github.com/anderkve/FYS3150/blob/master/code_examples/compilation_linking/example_1/src/utils.cpp">https://github.com/anderkve/FYS3150/blob/master/code_examples/compilation_linking/example_1/src/utils.cpp</a> </p>
|
||||
<dl class="params"><dt>Parameters</dt><dd>
|
||||
<table class="params">
|
||||
<tr><td class="paramname">d</td><td>The number to stringify </td></tr>
|
||||
<tr><td class="paramname">width</td><td>The reserved width of the string </td></tr>
|
||||
<tr><td class="paramname">prec</td><td>The precision of the stringified number</td></tr>
|
||||
</table>
|
||||
</dd>
|
||||
</dl>
|
||||
<dl class="section return"><dt>Returns</dt><dd>String </dd></dl>
|
||||
|
||||
</div>
|
||||
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@ -1,233 +0,0 @@
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Macros</h2></td></tr>
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||||
<tr class="memitem:aecc1f7a8a2493b9e021e5bff76a00a5b"><td class="memItemLeft" align="right" valign="top">#define </td><td class="memItemRight" valign="bottom"><a class="el" href="utils_8hpp.html#aecc1f7a8a2493b9e021e5bff76a00a5b">DEBUG</a>(msg)</td></tr>
|
||||
<tr class="memdesc:aecc1f7a8a2493b9e021e5bff76a00a5b"><td class="mdescLeft"> </td><td class="mdescRight">Writes a debug message. <br /></td></tr>
|
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<tr class="separator:aecc1f7a8a2493b9e021e5bff76a00a5b"><td class="memSeparator" colspan="2"> </td></tr>
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Functions</h2></td></tr>
|
||||
<tr class="memitem:adfb618b2fdff47ef30a4a2b62c04f384"><td class="memItemLeft" align="right" valign="top">std::string </td><td class="memItemRight" valign="bottom"><a class="el" href="utils_8hpp.html#adfb618b2fdff47ef30a4a2b62c04f384">scientific_format</a> (double d, int width=20, int prec=10)</td></tr>
|
||||
<tr class="memdesc:adfb618b2fdff47ef30a4a2b62c04f384"><td class="mdescLeft"> </td><td class="mdescRight">Turns a double into a string written in scientific format. <br /></td></tr>
|
||||
<tr class="separator:adfb618b2fdff47ef30a4a2b62c04f384"><td class="memSeparator" colspan="2"> </td></tr>
|
||||
<tr class="memitem:ad54b96a1074f9df4dc892a41d115b72d"><td class="memItemLeft" align="right" valign="top">std::string </td><td class="memItemRight" valign="bottom"><a class="el" href="utils_8hpp.html#ad54b96a1074f9df4dc892a41d115b72d">scientific_format</a> (const std::vector< double > &v, int width=20, int prec=10)</td></tr>
|
||||
<tr class="memdesc:ad54b96a1074f9df4dc892a41d115b72d"><td class="mdescLeft"> </td><td class="mdescRight">Turns a vector of doubles into a string written in scientific format. <br /></td></tr>
|
||||
<tr class="separator:ad54b96a1074f9df4dc892a41d115b72d"><td class="memSeparator" colspan="2"> </td></tr>
|
||||
</table>
|
||||
<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
|
||||
<div class="textblock"><p>Function prototypes and macros that are useful. </p>
|
||||
<p>These utility function are mainly for convenience and aren't directly related to the project.</p>
|
||||
<dl class="section author"><dt>Author</dt><dd>Cory Alexander Balaton (coryab) </dd>
|
||||
<dd>
|
||||
Janita Ovidie Sandtrøen Willumsen (janitaws) </dd></dl>
|
||||
<dl class="bug"><dt><b><a class="el" href="bug.html#_bug000007">Bug:</a></b></dt><dd>No known bugs </dd></dl>
|
||||
</div><h2 class="groupheader">Macro Definition Documentation</h2>
|
||||
<a id="aecc1f7a8a2493b9e021e5bff76a00a5b" name="aecc1f7a8a2493b9e021e5bff76a00a5b"></a>
|
||||
<h2 class="memtitle"><span class="permalink"><a href="#aecc1f7a8a2493b9e021e5bff76a00a5b">◆ </a></span>DEBUG</h2>
|
||||
|
||||
<div class="memitem">
|
||||
<div class="memproto">
|
||||
<table class="memname">
|
||||
<tr>
|
||||
<td class="memname">#define DEBUG</td>
|
||||
<td>(</td>
|
||||
<td class="paramtype"> </td>
|
||||
<td class="paramname">msg</td><td>)</td>
|
||||
<td></td>
|
||||
</tr>
|
||||
</table>
|
||||
</div><div class="memdoc">
|
||||
|
||||
<p>Writes a debug message. </p>
|
||||
<p>This function writes a debug message that includes the filename, line number, and a custom message. The function is wrapped in an ifdef that checks if DBG is defined, so one can choose to display the debug messages by adding the -DDBG flag when compiling. </p>
|
||||
|
||||
</div>
|
||||
</div>
|
||||
<h2 class="groupheader">Function Documentation</h2>
|
||||
<a id="ad54b96a1074f9df4dc892a41d115b72d" name="ad54b96a1074f9df4dc892a41d115b72d"></a>
|
||||
<h2 class="memtitle"><span class="permalink"><a href="#ad54b96a1074f9df4dc892a41d115b72d">◆ </a></span>scientific_format() <span class="overload">[1/2]</span></h2>
|
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||||
<div class="memitem">
|
||||
<div class="memproto">
|
||||
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|
||||
<tr>
|
||||
<td class="memname">std::string scientific_format </td>
|
||||
<td>(</td>
|
||||
<td class="paramtype">const std::vector< double > & </td>
|
||||
<td class="paramname"><em>v</em>, </td>
|
||||
</tr>
|
||||
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|
||||
<td class="paramkey"></td>
|
||||
<td></td>
|
||||
<td class="paramtype">int </td>
|
||||
<td class="paramname"><em>width</em> = <code>20</code>, </td>
|
||||
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|
||||
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|
||||
<td class="paramkey"></td>
|
||||
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|
||||
<td class="paramtype">int </td>
|
||||
<td class="paramname"><em>prec</em> = <code>10</code> </td>
|
||||
</tr>
|
||||
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|
||||
<td></td>
|
||||
<td>)</td>
|
||||
<td></td><td></td>
|
||||
</tr>
|
||||
</table>
|
||||
</div><div class="memdoc">
|
||||
|
||||
<p>Turns a vector of doubles into a string written in scientific format. </p>
|
||||
<dl class="params"><dt>Parameters</dt><dd>
|
||||
<table class="params">
|
||||
<tr><td class="paramname">v</td><td>The vector to stringify </td></tr>
|
||||
<tr><td class="paramname">width</td><td>The reserved width of the string </td></tr>
|
||||
<tr><td class="paramname">prec</td><td>The precision of the stringified number</td></tr>
|
||||
</table>
|
||||
</dd>
|
||||
</dl>
|
||||
<dl class="section return"><dt>Returns</dt><dd>String </dd></dl>
|
||||
|
||||
</div>
|
||||
</div>
|
||||
<a id="adfb618b2fdff47ef30a4a2b62c04f384" name="adfb618b2fdff47ef30a4a2b62c04f384"></a>
|
||||
<h2 class="memtitle"><span class="permalink"><a href="#adfb618b2fdff47ef30a4a2b62c04f384">◆ </a></span>scientific_format() <span class="overload">[2/2]</span></h2>
|
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||||
<div class="memitem">
|
||||
<div class="memproto">
|
||||
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||||
<td class="memname">std::string scientific_format </td>
|
||||
<td>(</td>
|
||||
<td class="paramtype">double </td>
|
||||
<td class="paramname"><em>d</em>, </td>
|
||||
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|
||||
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|
||||
<td class="paramkey"></td>
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||||
<td></td>
|
||||
<td class="paramtype">int </td>
|
||||
<td class="paramname"><em>width</em> = <code>20</code>, </td>
|
||||
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|
||||
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|
||||
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|
||||
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||||
<td class="paramtype">int </td>
|
||||
<td class="paramname"><em>prec</em> = <code>10</code> </td>
|
||||
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||||
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||||
</div><div class="memdoc">
|
||||
|
||||
<p>Turns a double into a string written in scientific format. </p>
|
||||
<p>Code stolen from <a href="https://github.com/anderkve/FYS3150">https://github.com/anderkve/FYS3150</a> Header: <a href="https://github.com/anderkve/FYS3150/blob/master/code_examples/compilation_linking/example_1/include/utils.hpp">https://github.com/anderkve/FYS3150/blob/master/code_examples/compilation_linking/example_1/include/utils.hpp</a> Source: <a href="https://github.com/anderkve/FYS3150/blob/master/code_examples/compilation_linking/example_1/src/utils.cpp">https://github.com/anderkve/FYS3150/blob/master/code_examples/compilation_linking/example_1/src/utils.cpp</a> </p>
|
||||
<dl class="params"><dt>Parameters</dt><dd>
|
||||
<table class="params">
|
||||
<tr><td class="paramname">d</td><td>The number to stringify </td></tr>
|
||||
<tr><td class="paramname">width</td><td>The reserved width of the string </td></tr>
|
||||
<tr><td class="paramname">prec</td><td>The precision of the stringified number</td></tr>
|
||||
</table>
|
||||
</dd>
|
||||
</dl>
|
||||
<dl class="section return"><dt>Returns</dt><dd>String </dd></dl>
|
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|
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<a href="utils_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno"> 1</span> </div>
|
||||
<div class="line"><a id="l00011" name="l00011"></a><span class="lineno"> 11</span><span class="preprocessor">#ifndef __UTILS__</span></div>
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<div class="line"><a id="l00013" name="l00013"></a><span class="lineno"> 13</span> </div>
|
||||
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|
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<div class="line"><a id="l00015" name="l00015"></a><span class="lineno"> 15</span><span class="preprocessor">#include <vector></span></div>
|
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<div class="line"><a id="l00016" name="l00016"></a><span class="lineno"> 16</span><span class="preprocessor">#include <iomanip></span></div>
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|
||||
<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"> 26</span><span class="preprocessor">#ifdef DBG</span></div>
|
||||
<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span><span class="preprocessor"> #define DEBUG(msg) std::cout << __FILE__ << " "</span> << __LINE__ << ": " \</div>
|
||||
<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span> << msg << std::endl</div>
|
||||
<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</span><span class="preprocessor">#else</span></div>
|
||||
<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"><a class="line" href="utils_8hpp.html#aecc1f7a8a2493b9e021e5bff76a00a5b"> 30</a></span><span class="preprocessor"> #define DEBUG(msg)</span></div>
|
||||
<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span><span class="preprocessor">#endif</span></div>
|
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<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span> </div>
|
||||
<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span>std::string <a class="code hl_function" href="utils_8hpp.html#adfb618b2fdff47ef30a4a2b62c04f384">scientific_format</a>(<span class="keywordtype">double</span> d, <span class="keywordtype">int</span> width=20, <span class="keywordtype">int</span> prec=10);</div>
|
||||
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span> </div>
|
||||
<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span>std::string <a class="code hl_function" href="utils_8hpp.html#adfb618b2fdff47ef30a4a2b62c04f384">scientific_format</a>(<span class="keyword">const</span> std::vector<double>& v, </div>
|
||||
<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span> <span class="keywordtype">int</span> width=20, </div>
|
||||
<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> <span class="keywordtype">int</span> prec=10);</div>
|
||||
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> </div>
|
||||
<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span><span class="preprocessor">#endif</span></div>
|
||||
<div class="ttc" id="autils_8hpp_html_adfb618b2fdff47ef30a4a2b62c04f384"><div class="ttname"><a href="utils_8hpp.html#adfb618b2fdff47ef30a4a2b62c04f384">scientific_format</a></div><div class="ttdeci">std::string scientific_format(double d, int width=20, int prec=10)</div><div class="ttdoc">Turns a double into a string written in scientific format.</div><div class="ttdef"><b>Definition:</b> utils.cpp:10</div></div>
|
||||
</div><!-- fragment --></div><!-- contents -->
|
||||
<!-- start footer part -->
|
||||
<hr class="footer"/><address class="footer"><small>
|
||||
Generated by <a href="https://www.doxygen.org/index.html"><img class="footer" src="doxygen.svg" width="104" height="31" alt="doxygen"/></a> 1.9.6
|
||||
</small></address>
|
||||
</body>
|
||||
</html>
|
||||
@ -1,48 +0,0 @@
|
||||
/** @file jacobi.hpp
|
||||
* @brief Function prototypes for the jacobi rotation algorithm.
|
||||
*
|
||||
* @author Cory Alexander Balaton (coryab)
|
||||
* @author Janita Ovidie Sandtrøen Willumsen (janitaws)
|
||||
* @bug No known bugs
|
||||
*/
|
||||
#ifndef __JACOBI__
|
||||
#define __JACOBI__
|
||||
|
||||
#include <armadillo>
|
||||
|
||||
/** @brief Computes a single rotation.
|
||||
*
|
||||
* Description
|
||||
*
|
||||
* @param A Matrix A<sup> (m) </sup>
|
||||
* @param R The rotation matrix R<sup> (m) </sup>
|
||||
* @param k Index of the row with the element of largest absolute value
|
||||
* @param l Index of the column with the element of largest absolute value
|
||||
*
|
||||
* @return Void
|
||||
*/
|
||||
void jacobi_rotate(arma::mat& A, arma::mat& R, int k, int l);
|
||||
|
||||
/** @brief Solves the eigenvalue problem using the jacobi rotation method.
|
||||
*
|
||||
* Description
|
||||
*
|
||||
* @param A The initial matrix to be solved
|
||||
* @param eps Tolerance
|
||||
* @param eigenvalues A vector that will contain the computed eigenvalues
|
||||
* @param eigenvectors A Matrix that will contain the computed eigenvectors
|
||||
* @param maxiter The max number of iterations allowed
|
||||
* @param iterations To keep track of how many iterations the algorithm used
|
||||
* @param converged Tells the user if the algorithm has converged
|
||||
*
|
||||
* @return Void
|
||||
* */
|
||||
void jacobi_eigensolver(const arma::mat& A,
|
||||
double eps,
|
||||
arma::vec& eigenvalues,
|
||||
arma::mat& eigenvectors,
|
||||
const int maxiter,
|
||||
int& iterations,
|
||||
bool& converged);
|
||||
|
||||
#endif
|
||||
@ -1,59 +0,0 @@
|
||||
/** @file matrix.hpp
|
||||
* @brief Function prototypes for creating tridiagonal matrices.
|
||||
*
|
||||
*
|
||||
*
|
||||
* @author Cory Alexander Balaton (coryab)
|
||||
* @author Janita Ovidie Sandtrøen Willumsen (janitaws)
|
||||
* @bug No known bugs
|
||||
*/
|
||||
#ifndef __MATRIX__
|
||||
#define __MATRIX__
|
||||
|
||||
#include <armadillo>
|
||||
|
||||
/** @brief Create a tridiagonal matrix.
|
||||
*
|
||||
* @param a Vector for the lower diagonal of size N-1
|
||||
* @param d Vector for the main diagonal of size N
|
||||
* @param e Vector for the upper diagonal of size N-1
|
||||
*
|
||||
* @return arma::matrix
|
||||
* */
|
||||
arma::mat create_tridiagonal(
|
||||
const arma::vec& a,
|
||||
const arma::vec& d,
|
||||
const arma::vec& e);
|
||||
|
||||
/** @brief Create a tridiagonal matrix.
|
||||
*
|
||||
* @param n The dimensions of the tridiagonal matrix
|
||||
* @param a The signature for the lower diagonal
|
||||
* @param d The signature for the main diagonal
|
||||
* @param e The signature for the upper diagonal
|
||||
*
|
||||
* @return arma::matrix
|
||||
* */
|
||||
arma::mat create_tridiagonal(int n, double a, double d, double e);
|
||||
|
||||
/** @brief Create a symmetric tridiagonal matrix.
|
||||
*
|
||||
* @param n The dimensions of the tridiagonal matrix
|
||||
* @param a The signature for the off diagonals
|
||||
* @param d The signature for the main diagonal
|
||||
*
|
||||
* @return arma::matrix
|
||||
* */
|
||||
arma::mat create_symmetric_tridiagonal(int n, double a, double d);
|
||||
|
||||
/** @brief Find the off-diagonal element with the largest absolute value.
|
||||
*
|
||||
* @param A Symmetric matrix
|
||||
* @param k Variable to store the row of the return value
|
||||
* @param l Variable to store the column of the return value
|
||||
*
|
||||
* @return Double
|
||||
* */
|
||||
double max_offdiag_symmetric(arma::mat& A, int& k, int& l);
|
||||
|
||||
#endif
|
||||
@ -1,60 +0,0 @@
|
||||
/** @file utils.hpp
|
||||
* @brief Function prototypes and macros that are useful.
|
||||
*
|
||||
* These utility function are mainly for convenience and aren't directly
|
||||
* related to the project.
|
||||
*
|
||||
* @author Cory Alexander Balaton (coryab)
|
||||
* @author Janita Ovidie Sandtrøen Willumsen (janitaws)
|
||||
* @bug No known bugs
|
||||
*/
|
||||
#ifndef __UTILS__
|
||||
#define __UTILS__
|
||||
|
||||
#include <string>
|
||||
#include <vector>
|
||||
#include <iomanip>
|
||||
|
||||
/** @def DEBUG(msg)
|
||||
* @brief Writes a debug message
|
||||
*
|
||||
* This function writes a debug message that includes the filename,
|
||||
* line number, and a custom message. The function is wrapped in an ifdef
|
||||
* that checks if DBG is defined, so one can choose to display the debug
|
||||
* messages by adding the -DDBG flag when compiling.
|
||||
* */
|
||||
#ifdef DBG
|
||||
#define DEBUG(msg) std::cout << __FILE__ << " " << __LINE__ << ": " \
|
||||
<< msg << std::endl
|
||||
#else
|
||||
#define DEBUG(msg)
|
||||
#endif
|
||||
|
||||
/** Code stolen from https://github.com/anderkve/FYS3150
|
||||
* Header: https://github.com/anderkve/FYS3150/blob/master/code_examples/compilation_linking/example_1/include/utils.hpp
|
||||
* Source: https://github.com/anderkve/FYS3150/blob/master/code_examples/compilation_linking/example_1/src/utils.cpp
|
||||
* */
|
||||
|
||||
/** @brief Turns a double into a string written in scientific format.
|
||||
*
|
||||
* @param d The number to stringify
|
||||
* @param width The reserved width of the string
|
||||
* @param prec The precision of the stringified number
|
||||
*
|
||||
* @return String
|
||||
* */
|
||||
std::string scientific_format(double d, int width=20, int prec=10);
|
||||
|
||||
/** @brief Turns a vector of doubles into a string written in scientific format.
|
||||
*
|
||||
* @param v The vector to stringify
|
||||
* @param width The reserved width of the string
|
||||
* @param prec The precision of the stringified number
|
||||
*
|
||||
* @return String
|
||||
* */
|
||||
std::string scientific_format(const std::vector<double>& v,
|
||||
int width=20,
|
||||
int prec=10);
|
||||
|
||||
#endif
|
||||
BIN
latex/assignment-2.pdf
Normal file
BIN
latex/assignment-2.pdf
Normal file
Binary file not shown.
@ -89,7 +89,7 @@
|
||||
|
||||
\textit{https://github.uio.no/FYS3150-G2-2023/Project-2}
|
||||
|
||||
\input{problems/problem-1}
|
||||
% \input{problems/problem-1}
|
||||
|
||||
% \input{problems/problem-2}
|
||||
|
||||
|
||||
@ -1,16 +0,0 @@
|
||||
\section*{Problem 1}
|
||||
We are studying the one-dimentional buckling beam, which can be described by the equation
|
||||
\begin{align*}
|
||||
\gamma \frac{d^{2} u(x)}{dx^{2}} &= -F u(x) & \rightarrow & & \frac{d^{2} u(x)}{dx^{2}} &= - \frac{F}{\gamma} u(x) \\
|
||||
\end{align*}
|
||||
where $\gamma$ is a constant determined by the material of the beam. We want to scale the equation, that is we want to scale by the x-value of the beams endpoint $x=L$.
|
||||
Scaling will result in a dimensionless variable $\hat{x} = \frac{1}{L}$.
|
||||
%
|
||||
\begin{align*}
|
||||
\frac{d^{2}}{dx^{2}} &= \frac{d}{dx} \frac{d}{dx} = \bigg( \frac{d\hat{x}}{dx} \frac{d}{d\hat{x}} \bigg) \bigg( \frac{d\hat{x}}{dx} \frac{d}{d\hat{x}} \bigg) & \text{where we have used } \frac{d\hat{x}}{dx} \frac{d}{d\hat{x}} = \frac{d}{dx} \frac{d\hat{x}}{d\hat{x}} \\
|
||||
&= \bigg( \frac{1}{L} \frac{d}{d\hat{x}} \bigg) \bigg( \frac{1}{L} \frac{d}{d\hat{x}} \bigg) = \frac{1}{L^{2}} \frac{d}{d\hat{x}^{2}} & \text{where } \hat{x} \equiv \frac{x}{L} \text{ and } \frac{d\hat{x}}{dx} = \frac{1}{L} \\
|
||||
\end{align*}
|
||||
Now we insert the expression into the original equation
|
||||
\begin{align*}
|
||||
\frac{d u(\hat{x})}{d\hat{x}^{2}} &= - \frac{F L^{2}}{\gamma} u(\hat{x}) \\
|
||||
\end{align*}
|
||||
@ -1,2 +0,0 @@
|
||||
\section*{Problem 2}
|
||||
|
||||
@ -1 +0,0 @@
|
||||
\section*{Problem 3}
|
||||
@ -1 +0,0 @@
|
||||
\section*{Problem 4}
|
||||
@ -1 +0,0 @@
|
||||
\section*{Problem 5}
|
||||
@ -1 +0,0 @@
|
||||
\section*{Problem 6}
|
||||
2778
src/Doxyfile
2778
src/Doxyfile
File diff suppressed because it is too large
Load Diff
19
src/Makefile
19
src/Makefile
@ -1,19 +0,0 @@
|
||||
INCLUDE=../include
|
||||
|
||||
CC=g++
|
||||
|
||||
CCFLAGS=-larmadillo -llapack -std=c++11
|
||||
|
||||
DEBUG=-DDBG
|
||||
|
||||
.PHONY: clean
|
||||
|
||||
test_suite: test_suite.o matrix.o jacobi.o
|
||||
$(CC) $^ -o $@ $(CCFLAGS) $(DEBUG)
|
||||
|
||||
%.o: %.cpp
|
||||
$(CC) -c $^ -o $@ -I $(INCLUDE) $(DEBUG)
|
||||
|
||||
clean:
|
||||
rm *.o
|
||||
rm test_suite
|
||||
@ -1,95 +0,0 @@
|
||||
/** @file jacobi.cpp
|
||||
* @brief Implementation of the jacobi rotation method
|
||||
*
|
||||
* @author Cory Alexander Balaton (coryab)
|
||||
* @author Janita Ovidie Sandtrøen Willumsen (janitaws)
|
||||
* @bug The eigenvalues fail the test. When comparing them to arma::eigsym
|
||||
* there is one value that is way off when testing with a 6x6 matrix.
|
||||
*/
|
||||
#include <algorithm>
|
||||
#include <cmath>
|
||||
#include <utility>
|
||||
|
||||
#include "utils.hpp"
|
||||
#include "jacobi.hpp"
|
||||
#include "matrix.hpp"
|
||||
|
||||
void jacobi_rotate(arma::mat& A, arma::mat& R, int k, int l)
|
||||
{
|
||||
double tau, t, c, s, sr, a_kk, a_ik, r_ik;
|
||||
|
||||
tau = (A(l,l) - A(k,k))/(2.*A(k,l));
|
||||
|
||||
sr = sqrt(1 + tau*tau);
|
||||
t = - tau + (tau > 0. ? sr : -sr);
|
||||
|
||||
c = 1. / std::sqrt(1. + t*t);
|
||||
|
||||
s = c*t;
|
||||
|
||||
// Calculating the diagonal elements at index k an l
|
||||
a_kk = A(k,k);
|
||||
A(k,k) = a_kk*c*c - 2.*A(k,l)*c*s + A(l,l)*s*s;
|
||||
A(l,l) = A(l,l)*c*c + 2.*A(k,l)*c*s + a_kk*s*s;
|
||||
A(k,l) = A(l,k) = 0.; // These are 0 by definition
|
||||
|
||||
// Calculating the other values on rows/cols k and l of A
|
||||
for (int i=0; i < A.n_rows; i++) {
|
||||
if (i == k || i == l) {
|
||||
continue;
|
||||
}
|
||||
a_ik = A(i,k);
|
||||
A(i,k) = a_ik*c - A(i,l)*s;
|
||||
A(k,i) = A(i,k);
|
||||
A(i,l) = A(i,l)*c + a_ik*s;
|
||||
A(l,i) = A(i,l);
|
||||
}
|
||||
|
||||
// Calculate the values for R
|
||||
for (int i=0; i < R.n_rows; i++) {
|
||||
r_ik = R(i,k);
|
||||
R(i,k) = r_ik*c - R(i,l)*s;
|
||||
R(i,l) = R(i,l)*c + r_ik*s;
|
||||
}
|
||||
}
|
||||
|
||||
void jacobi_eigensolver(const arma::mat& A,
|
||||
double eps,
|
||||
arma::vec& eigenvalues,
|
||||
arma::mat& eigenvectors,
|
||||
const int maxiter,
|
||||
int& iterations,
|
||||
bool& converged)
|
||||
{
|
||||
int k, l;
|
||||
double max_offdiag;
|
||||
|
||||
// Initialize matrices
|
||||
arma::mat A_m = A;
|
||||
arma::mat R = arma::mat(A.n_rows, A.n_cols, arma::fill::eye);
|
||||
|
||||
iterations = 0;
|
||||
|
||||
// Use a do while so that max_offdiag gets a value before doing a comparison
|
||||
do {
|
||||
max_offdiag = max_offdiag_symmetric(A_m, k, l);
|
||||
jacobi_rotate(A_m, R, k, l);
|
||||
|
||||
} while (max_offdiag >= eps && ++iterations < maxiter);
|
||||
|
||||
// Get the diagonal of A
|
||||
arma::vec res = arma::diagvec(A_m);
|
||||
// Get the indeces of res in sorted order
|
||||
arma::uvec sorted_indeces = arma::sort_index(res);
|
||||
|
||||
eigenvalues.resize(res.n_elem);
|
||||
eigenvectors.resize(res.n_elem, res.n_elem);
|
||||
|
||||
// Set the eigenvalues and their corresponding vectors in order
|
||||
for (int i=0; i < res.n_elem; i++) {
|
||||
eigenvalues[i] = res[sorted_indeces[i]];
|
||||
eigenvectors.insert_cols(i, R.col(sorted_indeces[i]));
|
||||
}
|
||||
|
||||
converged = max_offdiag < eps;
|
||||
}
|
||||
@ -1,66 +0,0 @@
|
||||
/** @file matrix.cpp
|
||||
* @brief Function prototypes for creating tridiagonal matrices.
|
||||
*
|
||||
*
|
||||
*
|
||||
* @author Cory Alexander Balaton (coryab)
|
||||
* @author Janita Ovidie Sandtrøen Willumsen (janitaws)
|
||||
* @bug No known bugs
|
||||
*/
|
||||
#include "matrix.hpp"
|
||||
|
||||
arma::mat create_tridiagonal(
|
||||
const arma::vec& a,
|
||||
const arma::vec& d,
|
||||
const arma::vec& e)
|
||||
{
|
||||
int n = d.n_elem;
|
||||
arma::mat A = arma::mat(n, n).fill(0.);
|
||||
|
||||
A(0, 0) = d(0);
|
||||
A(0, 1) = e(0);
|
||||
|
||||
for (int i = 1; i < n-1; i++) {
|
||||
A(i, i-1) = a(i-1);
|
||||
A(i, i) = d(i);
|
||||
A(i, i+1) = e(i);
|
||||
}
|
||||
|
||||
A(n-1, n-2) = a(n-2);
|
||||
A(n-1, n-1) = d(n-1);
|
||||
|
||||
return A;
|
||||
}
|
||||
|
||||
arma::mat create_tridiagonal(int n, double a, double d, double e)
|
||||
{
|
||||
arma::vec a_vec = arma::vec(n-1, arma::fill::ones) * a;
|
||||
arma::vec d_vec = arma::vec(n, arma::fill::ones) * d;
|
||||
arma::vec e_vec = arma::vec(n-1, arma::fill::ones) * e;
|
||||
|
||||
return create_tridiagonal(a_vec, d_vec, e_vec);
|
||||
}
|
||||
|
||||
arma::mat create_symmetric_tridiagonal(int n, double a, double d)
|
||||
{
|
||||
return create_tridiagonal(n, a, d, a);
|
||||
}
|
||||
|
||||
double max_offdiag_symmetric(arma::mat& A, int& k, int& l)
|
||||
{
|
||||
int m = A.n_rows;
|
||||
int n = A.n_cols;
|
||||
double item, res = 0.;
|
||||
|
||||
for (int i=0; i < m; i++) {
|
||||
for (int j=i+1; j < n; j++) {
|
||||
if ((item = std::abs(A(i,j))) > res) {
|
||||
res = item;
|
||||
k = i;
|
||||
l = j;
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
return res;
|
||||
}
|
||||
@ -1,133 +0,0 @@
|
||||
/** @file test_suite.cpp
|
||||
* @brief Test suite for project 2
|
||||
*
|
||||
* This is where all the tests for the project are implemented.
|
||||
* The tests test the creation of symmetrical tridiagonals,
|
||||
* finding the largest off-diagonal absolute value of a symmetric matrix,
|
||||
* and the Jacobi rotation method.
|
||||
*
|
||||
* @author Cory Alexander Balaton (coryab)
|
||||
* @author Janita Ovidie Sandtrøen Willumsen (janitaws)
|
||||
* @bug No known bugs
|
||||
*/
|
||||
#include <cassert>
|
||||
#include <cmath>
|
||||
#include <iostream>
|
||||
|
||||
#include "utils.hpp"
|
||||
#include "matrix.hpp"
|
||||
#include "jacobi.hpp"
|
||||
|
||||
void test_create_symmetric_tridiagonal() {
|
||||
double tol = 10e-8;
|
||||
double diff;
|
||||
int N = 6;
|
||||
double h = 1. / (double) (N+1);
|
||||
double a = -1. / (h*h), d = 2. / (h*h);
|
||||
|
||||
arma::mat A = create_symmetric_tridiagonal(N, a, d);
|
||||
|
||||
arma::vec eigval;
|
||||
arma::mat eigvec;
|
||||
|
||||
arma::eig_sym(eigval, eigvec, A);
|
||||
|
||||
// Test eigenvalues
|
||||
for (int i=0; i < N; i++) {
|
||||
diff = eigval(i) - (d + 2.*a*std::cos(((i+1.)*M_PI)/(N+1.)));
|
||||
assert(std::abs(diff) < tol);
|
||||
}
|
||||
|
||||
// Test eigenvectors
|
||||
arma::vec v, res, analytic_vec = arma::vec(N);
|
||||
for (int i=0; i < N; i++) {
|
||||
v = eigvec.col(i);
|
||||
|
||||
// Build the analytic vector
|
||||
for (int j=0; j < N; j++) {
|
||||
analytic_vec(j) = std::sin(((j+1.)*(i+1.)*M_PI) / (N+1.));
|
||||
}
|
||||
|
||||
analytic_vec = arma::normalise(analytic_vec);
|
||||
|
||||
// Flip the sign of the analytic vector if they are different
|
||||
if (analytic_vec(0)*v(0) < 0.) {
|
||||
analytic_vec *= -1;
|
||||
}
|
||||
|
||||
res = v - analytic_vec;
|
||||
for (int j=0; j < N; j++) {
|
||||
assert(std::abs(res(j)) < tol);
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
void test_max_off_diag_symmetric() {
|
||||
arma::mat A = arma::mat(4,4,arma::fill::eye);
|
||||
|
||||
double tol = 10e-8;
|
||||
A(0, 3) = .5;
|
||||
A(3, 0) = .5;
|
||||
A(1, 2) = -.7;
|
||||
A(2, 1) = -.7;
|
||||
|
||||
int k,l;
|
||||
assert(max_offdiag_symmetric(A, k, l) - .7 < tol);
|
||||
assert(k == 1 && l == 2);
|
||||
}
|
||||
|
||||
void test_jacobi_eigensolver()
|
||||
{
|
||||
double tol = 10e-8;
|
||||
double diff;
|
||||
int N = 6;
|
||||
double h = 1. / (double) (N+1);
|
||||
double a = -1. / (h*h), d = 2. / (h*h);
|
||||
|
||||
arma::mat A = create_symmetric_tridiagonal(N, a, d);
|
||||
|
||||
arma::vec eigval;
|
||||
arma::mat eigvec;
|
||||
|
||||
int iters;
|
||||
bool converged;
|
||||
jacobi_eigensolver(A, 10e-14, eigval, eigvec, 10000, iters, converged);
|
||||
|
||||
// Test eigenvalues
|
||||
for (int i=0; i < N; i++) {
|
||||
diff = eigval(i) - (d + 2.*a*std::cos(((i+1.)*M_PI)/(N+1.)));
|
||||
assert(std::abs(diff) < tol);
|
||||
}
|
||||
|
||||
// Test eigenvectors
|
||||
arma::vec v, res, analytic_vec = arma::vec(N);
|
||||
for (int i=0; i < N; i++) {
|
||||
v = eigvec.col(i);
|
||||
|
||||
// Build the analytic vector
|
||||
for (int j=0; j < N; j++) {
|
||||
analytic_vec(j) = std::sin(((j+1.)*(i+1.)*M_PI) / (N+1.));
|
||||
}
|
||||
|
||||
analytic_vec = arma::normalise(analytic_vec);
|
||||
|
||||
// Flip the sign of the analytic vector if they are different
|
||||
if (analytic_vec(0)*v(0) < 0.) {
|
||||
analytic_vec *= -1;
|
||||
}
|
||||
|
||||
res = v - analytic_vec;
|
||||
for (int j=0; j < N; j++) {
|
||||
assert(std::abs(res(j)) < tol);
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
int main() {
|
||||
|
||||
test_create_symmetric_tridiagonal();
|
||||
test_max_off_diag_symmetric();
|
||||
test_jacobi_eigensolver();
|
||||
|
||||
return 0;
|
||||
}
|
||||
@ -1,25 +0,0 @@
|
||||
/** @file utils.cpp
|
||||
* @brief Implementation of the utils
|
||||
*
|
||||
* @author Cory Alexander Balaton (coryab)
|
||||
* @author Janita Ovidie Sandtrøen Willumsen (janitaws)
|
||||
* @bug No known bugs
|
||||
*/
|
||||
#include "utils.hpp"
|
||||
|
||||
std::string scientific_format(double d, int width, int prec)
|
||||
{
|
||||
std::stringstream ss;
|
||||
ss << std::setw(width) << std::setprecision(prec) << std::scientific << d;
|
||||
return ss.str();
|
||||
}
|
||||
|
||||
|
||||
std::string scientific_format(const std::vector<double>& v, int width, int prec)
|
||||
{
|
||||
std::stringstream ss;
|
||||
for(double elem : v) {
|
||||
ss << scientific_format(elem, width, prec);
|
||||
}
|
||||
return ss.str();
|
||||
}
|
||||
Loading…
Reference in New Issue
Block a user