mirror of
https://github.com/TheAlgorithms/C
synced 2024-12-13 15:17:08 +03:00
236 lines
15 KiB
HTML
236 lines
15 KiB
HTML
<!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">
|
|
<head>
|
|
<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
|
|
<meta http-equiv="X-UA-Compatible" content="IE=9"/>
|
|
<meta name="generator" content="Doxygen 1.8.20"/>
|
|
<meta name="viewport" content="width=device-width, initial-scale=1"/>
|
|
<title>Algorithms_in_C: numerical_methods/lu_decompose.c File Reference</title>
|
|
<link href="../../tabs.css" rel="stylesheet" type="text/css"/>
|
|
<script type="text/javascript" src="../../jquery.js"></script>
|
|
<script type="text/javascript" src="../../dynsections.js"></script>
|
|
<link href="../../navtree.css" rel="stylesheet" type="text/css"/>
|
|
<script type="text/javascript" src="../../resize.js"></script>
|
|
<script type="text/javascript" src="../../navtreedata.js"></script>
|
|
<script type="text/javascript" src="../../navtree.js"></script>
|
|
<link href="../../search/search.css" rel="stylesheet" type="text/css"/>
|
|
<script type="text/javascript" src="../../search/searchdata.js"></script>
|
|
<script type="text/javascript" src="../../search/search.js"></script>
|
|
<script type="text/x-mathjax-config">
|
|
MathJax.Hub.Config({
|
|
extensions: ["tex2jax.js", "TeX/AMSmath.js", "TeX/AMSsymbols.js"],
|
|
jax: ["input/TeX","output/HTML-CSS"],
|
|
});
|
|
</script>
|
|
<script type="text/javascript" async="async" src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.7/MathJax.js?config=TeX-MML-AM_CHTML/MathJax.js"></script>
|
|
<link href="../../doxygen.css" rel="stylesheet" type="text/css" />
|
|
</head>
|
|
<body>
|
|
<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
|
|
<div id="titlearea">
|
|
<table cellspacing="0" cellpadding="0">
|
|
<tbody>
|
|
<tr style="height: 56px;">
|
|
<td id="projectalign" style="padding-left: 0.5em;">
|
|
<div id="projectname">Algorithms_in_C
|
|
 <span id="projectnumber">1.0.0</span>
|
|
</div>
|
|
<div id="projectbrief">Set of algorithms implemented in C.</div>
|
|
</td>
|
|
</tr>
|
|
</tbody>
|
|
</table>
|
|
</div>
|
|
<!-- end header part -->
|
|
<!-- Generated by Doxygen 1.8.20 -->
|
|
<script type="text/javascript">
|
|
/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&dn=gpl-2.0.txt GPL-v2 */
|
|
var searchBox = new SearchBox("searchBox", "../../search",false,'Search');
|
|
/* @license-end */
|
|
</script>
|
|
<script type="text/javascript" src="../../menudata.js"></script>
|
|
<script type="text/javascript" src="../../menu.js"></script>
|
|
<script type="text/javascript">
|
|
/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&dn=gpl-2.0.txt GPL-v2 */
|
|
$(function() {
|
|
initMenu('../../',true,false,'search.php','Search');
|
|
$(document).ready(function() { init_search(); });
|
|
});
|
|
/* @license-end */</script>
|
|
<div id="main-nav"></div>
|
|
</div><!-- top -->
|
|
<div id="side-nav" class="ui-resizable side-nav-resizable">
|
|
<div id="nav-tree">
|
|
<div id="nav-tree-contents">
|
|
<div id="nav-sync" class="sync"></div>
|
|
</div>
|
|
</div>
|
|
<div id="splitbar" style="-moz-user-select:none;"
|
|
class="ui-resizable-handle">
|
|
</div>
|
|
</div>
|
|
<script type="text/javascript">
|
|
/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&dn=gpl-2.0.txt GPL-v2 */
|
|
$(document).ready(function(){initNavTree('dc/d2e/lu__decompose_8c.html','../../'); initResizable(); });
|
|
/* @license-end */
|
|
</script>
|
|
<div id="doc-content">
|
|
<!-- window showing the filter options -->
|
|
<div id="MSearchSelectWindow"
|
|
onmouseover="return searchBox.OnSearchSelectShow()"
|
|
onmouseout="return searchBox.OnSearchSelectHide()"
|
|
onkeydown="return searchBox.OnSearchSelectKey(event)">
|
|
</div>
|
|
|
|
<!-- iframe showing the search results (closed by default) -->
|
|
<div id="MSearchResultsWindow">
|
|
<iframe src="javascript:void(0)" frameborder="0"
|
|
name="MSearchResults" id="MSearchResults">
|
|
</iframe>
|
|
</div>
|
|
|
|
<div class="header">
|
|
<div class="summary">
|
|
<a href="#func-members">Functions</a> </div>
|
|
<div class="headertitle">
|
|
<div class="title">lu_decompose.c File Reference</div> </div>
|
|
</div><!--header-->
|
|
<div class="contents">
|
|
|
|
<p><a href="https://en.wikipedia.org/wiki/LU_decompositon">LU decomposition</a> of a square matrix
|
|
<a href="#details">More...</a></p>
|
|
<div class="textblock"><code>#include <stdio.h></code><br />
|
|
<code>#include <stdlib.h></code><br />
|
|
<code>#include <time.h></code><br />
|
|
</div><div class="textblock"><div class="dynheader">
|
|
Include dependency graph for lu_decompose.c:</div>
|
|
<div class="dyncontent">
|
|
<div class="center"><iframe scrolling="no" frameborder="0" src="../../de/d4e/lu__decompose_8c__incl.svg" width="243" height="127"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe>
|
|
</div>
|
|
</div>
|
|
</div><table class="memberdecls">
|
|
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
|
|
Functions</h2></td></tr>
|
|
<tr class="memitem:aae40b90a8efd645c749128cf8072bbb4"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="../../dc/d2e/lu__decompose_8c.html#aae40b90a8efd645c749128cf8072bbb4">lu_decomposition</a> (double **A, double **<a class="el" href="../../df/db3/struct_l.html">L</a>, double **U, int mat_size)</td></tr>
|
|
<tr class="memdesc:aae40b90a8efd645c749128cf8072bbb4"><td class="mdescLeft"> </td><td class="mdescRight">Perform LU decomposition on matrix. <a href="../../dc/d2e/lu__decompose_8c.html#aae40b90a8efd645c749128cf8072bbb4">More...</a><br /></td></tr>
|
|
<tr class="separator:aae40b90a8efd645c749128cf8072bbb4"><td class="memSeparator" colspan="2"> </td></tr>
|
|
<tr class="memitem:a0789beb8d3396582d77b7aedf5e5554a"><td class="memItemLeft" align="right" valign="top"><a id="a0789beb8d3396582d77b7aedf5e5554a"></a>
|
|
void </td><td class="memItemRight" valign="bottom"><a class="el" href="../../dc/d2e/lu__decompose_8c.html#a0789beb8d3396582d77b7aedf5e5554a">display</a> (double **A, int N)</td></tr>
|
|
<tr class="memdesc:a0789beb8d3396582d77b7aedf5e5554a"><td class="mdescLeft"> </td><td class="mdescRight">Function to display square matrix. <br /></td></tr>
|
|
<tr class="separator:a0789beb8d3396582d77b7aedf5e5554a"><td class="memSeparator" colspan="2"> </td></tr>
|
|
<tr class="memitem:a3c04138a5bfe5d72780bb7e82a18e627"><td class="memItemLeft" align="right" valign="top"><a id="a3c04138a5bfe5d72780bb7e82a18e627"></a>
|
|
int </td><td class="memItemRight" valign="bottom"><a class="el" href="../../dc/d2e/lu__decompose_8c.html#a3c04138a5bfe5d72780bb7e82a18e627">main</a> (int argc, char **argv)</td></tr>
|
|
<tr class="memdesc:a3c04138a5bfe5d72780bb7e82a18e627"><td class="mdescLeft"> </td><td class="mdescRight">Main function. <br /></td></tr>
|
|
<tr class="separator:a3c04138a5bfe5d72780bb7e82a18e627"><td class="memSeparator" colspan="2"> </td></tr>
|
|
</table>
|
|
<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
|
|
<div class="textblock"><p><a href="https://en.wikipedia.org/wiki/LU_decompositon">LU decomposition</a> of a square matrix </p>
|
|
<dl class="section author"><dt>Author</dt><dd><a href="https://github.com/kvedala">Krishna Vedala</a> </dd></dl>
|
|
</div><h2 class="groupheader">Function Documentation</h2>
|
|
<a id="aae40b90a8efd645c749128cf8072bbb4"></a>
|
|
<h2 class="memtitle"><span class="permalink"><a href="#aae40b90a8efd645c749128cf8072bbb4">◆ </a></span>lu_decomposition()</h2>
|
|
|
|
<div class="memitem">
|
|
<div class="memproto">
|
|
<table class="memname">
|
|
<tr>
|
|
<td class="memname">int lu_decomposition </td>
|
|
<td>(</td>
|
|
<td class="paramtype">double ** </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>L</em>, </td>
|
|
</tr>
|
|
<tr>
|
|
<td class="paramkey"></td>
|
|
<td></td>
|
|
<td class="paramtype">double ** </td>
|
|
<td class="paramname"><em>U</em>, </td>
|
|
</tr>
|
|
<tr>
|
|
<td class="paramkey"></td>
|
|
<td></td>
|
|
<td class="paramtype">int </td>
|
|
<td class="paramname"><em>mat_size</em> </td>
|
|
</tr>
|
|
<tr>
|
|
<td></td>
|
|
<td>)</td>
|
|
<td></td><td></td>
|
|
</tr>
|
|
</table>
|
|
</div><div class="memdoc">
|
|
|
|
<p>Perform LU decomposition on matrix. </p>
|
|
<dl class="params"><dt>Parameters</dt><dd>
|
|
<table class="params">
|
|
<tr><td class="paramdir">[in]</td><td class="paramname">A</td><td>matrix to decompose </td></tr>
|
|
<tr><td class="paramdir">[out]</td><td class="paramname"><a class="el" href="../../df/db3/struct_l.html">L</a></td><td>output <a class="el" href="../../df/db3/struct_l.html">L</a> matrix </td></tr>
|
|
<tr><td class="paramdir">[out]</td><td class="paramname">U</td><td>output U matrix </td></tr>
|
|
<tr><td class="paramdir">[in]</td><td class="paramname">mat_size</td><td>input square matrix size </td></tr>
|
|
</table>
|
|
</dd>
|
|
</dl>
|
|
<div class="fragment"><div class="line"><a name="l00021"></a><span class="lineno"> 21</span> {</div>
|
|
<div class="line"><a name="l00022"></a><span class="lineno"> 22</span>  <span class="keywordtype">int</span> row, col, j;</div>
|
|
<div class="line"><a name="l00023"></a><span class="lineno"> 23</span>  </div>
|
|
<div class="line"><a name="l00024"></a><span class="lineno"> 24</span>  <span class="comment">// regularize each row</span></div>
|
|
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span>  <span class="keywordflow">for</span> (row = 0; row < mat_size; row++)</div>
|
|
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span>  {</div>
|
|
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>  <span class="comment">// Upper triangular matrix</span></div>
|
|
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="preprocessor">#ifdef _OPENMP</span></div>
|
|
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="preprocessor">#pragma omp for</span></div>
|
|
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="preprocessor">#endif</span></div>
|
|
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  <span class="keywordflow">for</span> (col = row; col < mat_size; col++)</div>
|
|
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>  {</div>
|
|
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>  <span class="comment">// Summation of L[i,j] * U[j,k]</span></div>
|
|
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  <span class="keywordtype">double</span> lu_sum = 0.;</div>
|
|
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  <span class="keywordflow">for</span> (j = 0; j < row; j++) lu_sum += <a class="code" href="../../df/db3/struct_l.html">L</a>[row][j] * U[j][col];</div>
|
|
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  </div>
|
|
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  <span class="comment">// Evaluate U[i,k]</span></div>
|
|
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  U[row][col] = A[row][col] - lu_sum;</div>
|
|
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>  }</div>
|
|
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>  </div>
|
|
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  <span class="comment">// Lower triangular matrix</span></div>
|
|
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span> <span class="preprocessor">#ifdef _OPENMP</span></div>
|
|
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span> <span class="preprocessor">#pragma omp for</span></div>
|
|
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span> <span class="preprocessor">#endif</span></div>
|
|
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  <span class="keywordflow">for</span> (col = row; col < mat_size; col++)</div>
|
|
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  {</div>
|
|
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  <span class="keywordflow">if</span> (row == col)</div>
|
|
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  {</div>
|
|
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  <a class="code" href="../../df/db3/struct_l.html">L</a>[row][col] = 1.;</div>
|
|
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  <span class="keywordflow">continue</span>;</div>
|
|
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  }</div>
|
|
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  </div>
|
|
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  <span class="comment">// Summation of L[i,j] * U[j,k]</span></div>
|
|
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  <span class="keywordtype">double</span> lu_sum = 0.;</div>
|
|
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  <span class="keywordflow">for</span> (j = 0; j < row; j++) lu_sum += <a class="code" href="../../df/db3/struct_l.html">L</a>[col][j] * U[j][row];</div>
|
|
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  </div>
|
|
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  <span class="comment">// Evaluate U[i,k]</span></div>
|
|
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  <a class="code" href="../../df/db3/struct_l.html">L</a>[col][row] = (A[col][row] - lu_sum) / U[row][row];</div>
|
|
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  }</div>
|
|
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  }</div>
|
|
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  </div>
|
|
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  <span class="keywordflow">return</span> 0;</div>
|
|
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span> }</div>
|
|
</div><!-- fragment -->
|
|
</div>
|
|
</div>
|
|
</div><!-- contents -->
|
|
</div><!-- doc-content -->
|
|
<div class="ttc" id="astruct_l_html"><div class="ttname"><a href="../../df/db3/struct_l.html">L</a></div><div class="ttdef"><b>Definition:</b> list.h:8</div></div>
|
|
<!-- start footer part -->
|
|
<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
|
|
<ul>
|
|
<li class="navelem"><a class="el" href="../../dir_9c6faab82c22511b50177aa2e38e2780.html">numerical_methods</a></li><li class="navelem"><a class="el" href="../../dc/d2e/lu__decompose_8c.html">lu_decompose.c</a></li>
|
|
<li class="footer">Generated by <a href="http://www.doxygen.org/index.html"><img class="footer" src="../../doxygen.svg" width="104" height="31" alt="doxygen"/></a> 1.8.20 </li>
|
|
</ul>
|
|
</div>
|
|
</body>
|
|
</html>
|