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+
+<div class="header">
+ <div class="summary">
+<a href="#func-members">Functions</a> </div>
+ <div class="headertitle">
+<div class="title">DOP.c File Reference</div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Compute the Position Dilution of Precision (PDOP).
+<a href="#details">More...</a></p>
+<div class="textblock"><code>#include <math.h></code><br />
+<code>#include "<a class="el" href="DOP_8h_source.html">DOP.h</a>"</code><br />
+<code>#include "<a class="el" href="moore__penrose__pseudo__inverse_8h_source.html">moore_penrose_pseudo_inverse.h</a>"</code><br />
+<code>#include "<a class="el" href="matrix_8h_source.html">matrix.h</a>"</code><br />
+</div>
+<p><a href="DOP_8c_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a8b878ff6d73e8da6fbc3ae40f01b1ce4"><td class="memItemLeft" align="right" valign="top"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="DOP_8c.html#a8b878ff6d73e8da6fbc3ae40f01b1ce4">get_PDOP</a> (uint8_t m, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_Matrix[m][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> true_pos[m])</td></tr>
+<tr class="memdesc:a8b878ff6d73e8da6fbc3ae40f01b1ce4"><td class="mdescLeft"> </td><td class="mdescRight">Compute the Position Dilution of Precision (PDOP). <a href="DOP_8c.html#a8b878ff6d73e8da6fbc3ae40f01b1ce4">More...</a><br /></td></tr>
+<tr class="separator:a8b878ff6d73e8da6fbc3ae40f01b1ce4"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Compute the Position Dilution of Precision (PDOP). </p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd>
+<dd>
+Naouar Guerchali </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="DOP_8c_source.html">DOP.c</a>.</p>
+</div><h2 class="groupheader">Function Documentation</h2>
+<a id="a8b878ff6d73e8da6fbc3ae40f01b1ce4"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a8b878ff6d73e8da6fbc3ae40f01b1ce4">◆ </a></span>get_PDOP()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> get_PDOP </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>ref_Matrix</em>[m][3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>true_pos</em>[m] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute the Position Dilution of Precision (PDOP). </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>number of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">ref_Matrix</td><td>three-dimensional coordinates of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">true_pos</td><td>three-dimensional coordinates of the mobile device.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the PDOP-value. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="DOP_8c_source.html#l00030">30</a> of file <a class="el" href="DOP_8c_source.html">DOP.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8c_source.html#l00363">matrix_mul()</a>, <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>, <a class="el" href="matrix_8c_source.html#l00056">matrix_transpose()</a>, and <a class="el" href="moore__penrose__pseudo__inverse_8c_source.html#l00038">moore_penrose_get_pinv()</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="multipath__algo__own__norm__distr__test_8c_source.html#l00038">multipath_algo_own_norm_distr_test()</a>, and <a class="el" href="pos__algos__common__test_8c_source.html#l00030">pos_algos_common_test()</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="navelem"><a class="el" href="dir_ca7b3fe3a5c68321cdadecc73cd5d1a0.html">localization</a></li><li class="navelem"><a class="el" href="dir_fdc176930829c278cabf5fddd85dbef8.html">position_algos</a></li><li class="navelem"><a class="el" href="dir_8b81d7492c96188faba0bade87ee2c10.html">pos_algos_common</a></li><li class="navelem"><a class="el" href="DOP_8c.html">DOP.c</a></li>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
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--- /dev/null
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+var DOP_8c =
+[
+ [ "get_PDOP", "DOP_8c.html#a8b878ff6d73e8da6fbc3ae40f01b1ce4", null ]
+];
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+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "https://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
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+ <td id="projectalign" style="padding-left: 0.5em;">
+ <div id="projectname">RcdMathLib_doc
+ </div>
+ <div id="projectbrief">Open Source Library for Linear and Non-linear Algebra</div>
+ </td>
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+</table>
+</div>
+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.16 -->
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+/* @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) -->
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+<iframe src="javascript:void(0)" frameborder="0"
+ name="MSearchResults" id="MSearchResults">
+</iframe>
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+
+<div class="header">
+ <div class="headertitle">
+<div class="title">DOP.c</div> </div>
+</div><!--header-->
+<div class="contents">
+<a href="DOP_8c.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="preprocessor">#include <math.h></span></div>
+<div class="line"><a name="l00024"></a><span class="lineno"> 24</span>  </div>
+<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#include "<a class="code" href="DOP_8h.html">DOP.h</a>"</span></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="preprocessor">#include "<a class="code" href="moore__penrose__pseudo__inverse_8h.html">moore_penrose_pseudo_inverse.h</a>"</span></div>
+<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="preprocessor">#include "<a class="code" href="matrix_8h.html">matrix.h</a>"</span></div>
+<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>  </div>
+<div class="line"><a name="l00030"></a><span class="lineno"><a class="line" href="DOP_8h.html#a8b878ff6d73e8da6fbc3ae40f01b1ce4"> 30</a></span> <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> <a class="code" href="DOP_8c.html#a8b878ff6d73e8da6fbc3ae40f01b1ce4">get_PDOP</a>(uint8_t m, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_Matrix[m][3],</div>
+<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> true_pos[m])</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>  </div>
+<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> PDOP = 0.0;</div>
+<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> H[m][4];</div>
+<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> H_transpose[4][m];</div>
+<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> H_transpose_H[4][4];</div>
+<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> H_transpose_H_pinv[4][4];</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>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < m; i++) {</div>
+<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> R_i = sqrt(pow(ref_Matrix[i][0] - true_pos[0], 2)</div>
+<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  + pow(ref_Matrix[i][1] - true_pos[1], 2)</div>
+<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  + pow(ref_Matrix[i][2] - true_pos[2], 2));</div>
+<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  </div>
+<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> l = 0; l < 3; l++) {</div>
+<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  H[i][l] = (ref_Matrix[i][l] - true_pos[l]) / R_i;</div>
+<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  }</div>
+<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  H[i][3] = -1;</div>
+<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  }</div>
+<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  </div>
+<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  <a class="code" href="matrix_8h.html#ad7c9a682a3cc4ca33c030afa8798241a">matrix_transpose</a>(m, 4, H, H_transpose);</div>
+<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  <a class="code" href="matrix_8h.html#a550aa0d5a3212e35ad0af134895fd20a">matrix_mul</a>(4, m, H_transpose, m, 4, H, H_transpose_H);</div>
+<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  <a class="code" href="moore__penrose__pseudo__inverse_8h.html#a0ddd46446f074a0d38c04157686f5fce">moore_penrose_get_pinv</a>(4, 4, H_transpose_H, H_transpose_H_pinv);</div>
+<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  </div>
+<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < 3; i++) {</div>
+<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  PDOP = PDOP + H_transpose_H_pinv[i][i];</div>
+<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  }</div>
+<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  PDOP = sqrt(PDOP);</div>
+<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  <span class="keywordflow">return</span> PDOP;</div>
+<div class="line"><a name="l00060"></a><span class="lineno"> 60</span> }</div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="amoore__penrose__pseudo__inverse_8h_html_a0ddd46446f074a0d38c04157686f5fce"><div class="ttname"><a href="moore__penrose__pseudo__inverse_8h.html#a0ddd46446f074a0d38c04157686f5fce">moore_penrose_get_pinv</a></div><div class="ttdeci">int8_t moore_penrose_get_pinv(uint8_t m, uint8_t n, matrix_t A[m][n], matrix_t pinv_A[n][m])</div><div class="ttdoc">Calculate the Moore–Penrose inverse of a rectangular matrix.</div><div class="ttdef"><b>Definition:</b> <a href="moore__penrose__pseudo__inverse_8c_source.html#l00038">moore_penrose_pseudo_inverse.c:38</a></div></div>
+<div class="ttc" id="amatrix_8h_html_ad7c9a682a3cc4ca33c030afa8798241a"><div class="ttname"><a href="matrix_8h.html#ad7c9a682a3cc4ca33c030afa8798241a">matrix_transpose</a></div><div class="ttdeci">void matrix_transpose(uint8_t m, uint8_t n, matrix_t src_matrix[m][n], matrix_t dest_matrix[n][m])</div><div class="ttdoc">Computes the transpose of a matrix.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00056">matrix.c:56</a></div></div>
+<div class="ttc" id="aDOP_8c_html_a8b878ff6d73e8da6fbc3ae40f01b1ce4"><div class="ttname"><a href="DOP_8c.html#a8b878ff6d73e8da6fbc3ae40f01b1ce4">get_PDOP</a></div><div class="ttdeci">matrix_t get_PDOP(uint8_t m, matrix_t ref_Matrix[m][3], matrix_t true_pos[m])</div><div class="ttdoc">Compute the Position Dilution of Precision (PDOP).</div><div class="ttdef"><b>Definition:</b> <a href="DOP_8c_source.html#l00030">DOP.c:30</a></div></div>
+<div class="ttc" id="amatrix_8h_html"><div class="ttname"><a href="matrix_8h.html">matrix.h</a></div><div class="ttdoc">Matrix computations.</div></div>
+<div class="ttc" id="amoore__penrose__pseudo__inverse_8h_html"><div class="ttname"><a href="moore__penrose__pseudo__inverse_8h.html">moore_penrose_pseudo_inverse.h</a></div><div class="ttdoc">Moore–Penrose algorithm to compute the pseudo-inverse of a matrix.</div></div>
+<div class="ttc" id="amatrix_8h_html_af38ac6b76d645fea9abd6caeb4d9dd31"><div class="ttname"><a href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a></div><div class="ttdeci">#define matrix_t</div><div class="ttdoc">Define the data type of the matrix elements.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8h_source.html#l00038">matrix.h:38</a></div></div>
+<div class="ttc" id="aDOP_8h_html"><div class="ttname"><a href="DOP_8h.html">DOP.h</a></div><div class="ttdoc">Compute the Position Dilution of Precision (PDOP).</div></div>
+<div class="ttc" id="amatrix_8h_html_a550aa0d5a3212e35ad0af134895fd20a"><div class="ttname"><a href="matrix_8h.html#a550aa0d5a3212e35ad0af134895fd20a">matrix_mul</a></div><div class="ttdeci">void matrix_mul(uint8_t a_line_num, uint8_t a_col_num, matrix_t a_matrix[a_line_num][a_col_num], uint8_t b_line_num, uint8_t b_col_num, matrix_t b_matrix[b_line_num][b_col_num], matrix_t dest_matrix[a_line_num][b_col_num])</div><div class="ttdoc">Compute the multiplication of two matrices.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00363">matrix.c:363</a></div></div>
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+ name="MSearchResults" id="MSearchResults">
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+</div>
+
+<div class="header">
+ <div class="summary">
+<a href="#func-members">Functions</a> </div>
+ <div class="headertitle">
+<div class="title">DOP.h File Reference<div class="ingroups"><a class="el" href="group__localization.html">LOCALIZATION</a> » <a class="el" href="group__position__algos.html">POSITION_ALGOS</a> » <a class="el" href="group__pos__algos__common.html">POS_ALGOS_COMMON</a></div></div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Compute the Position Dilution of Precision (PDOP).
+<a href="#details">More...</a></p>
+<div class="textblock"><code>#include <inttypes.h></code><br />
+<code>#include "<a class="el" href="matrix_8h_source.html">matrix.h</a>"</code><br />
+</div>
+<p><a href="DOP_8h_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a8b878ff6d73e8da6fbc3ae40f01b1ce4"><td class="memItemLeft" align="right" valign="top"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="DOP_8h.html#a8b878ff6d73e8da6fbc3ae40f01b1ce4">get_PDOP</a> (uint8_t m, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_Matrix[m][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> true_pos[m])</td></tr>
+<tr class="memdesc:a8b878ff6d73e8da6fbc3ae40f01b1ce4"><td class="mdescLeft"> </td><td class="mdescRight">Compute the Position Dilution of Precision (PDOP). <a href="DOP_8h.html#a8b878ff6d73e8da6fbc3ae40f01b1ce4">More...</a><br /></td></tr>
+<tr class="separator:a8b878ff6d73e8da6fbc3ae40f01b1ce4"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Compute the Position Dilution of Precision (PDOP). </p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd>
+<dd>
+Naouar Guerchali </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="DOP_8h_source.html">DOP.h</a>.</p>
+</div><h2 class="groupheader">Function Documentation</h2>
+<a id="a8b878ff6d73e8da6fbc3ae40f01b1ce4"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a8b878ff6d73e8da6fbc3ae40f01b1ce4">◆ </a></span>get_PDOP()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> get_PDOP </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>ref_Matrix</em>[m][3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>true_pos</em>[m] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute the Position Dilution of Precision (PDOP). </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>number of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">ref_Matrix</td><td>three-dimensional coordinates of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">true_pos</td><td>three-dimensional coordinates of the mobile device.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the PDOP-value. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="DOP_8c_source.html#l00030">30</a> of file <a class="el" href="DOP_8c_source.html">DOP.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8c_source.html#l00363">matrix_mul()</a>, <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>, <a class="el" href="matrix_8c_source.html#l00056">matrix_transpose()</a>, and <a class="el" href="moore__penrose__pseudo__inverse_8c_source.html#l00038">moore_penrose_get_pinv()</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="multipath__algo__own__norm__distr__test_8c_source.html#l00038">multipath_algo_own_norm_distr_test()</a>, and <a class="el" href="pos__algos__common__test_8c_source.html#l00030">pos_algos_common_test()</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
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+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="navelem"><a class="el" href="dir_ca7b3fe3a5c68321cdadecc73cd5d1a0.html">localization</a></li><li class="navelem"><a class="el" href="dir_fdc176930829c278cabf5fddd85dbef8.html">position_algos</a></li><li class="navelem"><a class="el" href="dir_8b81d7492c96188faba0bade87ee2c10.html">pos_algos_common</a></li><li class="navelem"><a class="el" href="dir_321173b8d48684d54b5d9118730b6e4e.html">include</a></li><li class="navelem"><a class="el" href="DOP_8h.html">DOP.h</a></li>
+ <li class="footer">Generated by
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diff --git a/doc/doxygen/html/DOP_8h.js b/doc/doxygen/html/DOP_8h.js
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+var DOP_8h =
+[
+ [ "get_PDOP", "DOP_8h.html#a8b878ff6d73e8da6fbc3ae40f01b1ce4", null ]
+];
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+<div id="doc-content">
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+<div id="MSearchSelectWindow"
+ onmouseover="return searchBox.OnSearchSelectShow()"
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+<div class="header">
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+<div class="title">DOP.h</div> </div>
+</div><!--header-->
+<div class="contents">
+<a href="DOP_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="preprocessor">#ifndef DOP_H_</span></div>
+<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#define DOP_H_</span></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="preprocessor">#include <inttypes.h></span></div>
+<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>  </div>
+<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="preprocessor">#include "<a class="code" href="matrix_8h.html">matrix.h</a>"</span></div>
+<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>  </div>
+<div class="line"><a name="l00042"></a><span class="lineno"> 42</span> <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> <a class="code" href="DOP_8h.html#a8b878ff6d73e8da6fbc3ae40f01b1ce4">get_PDOP</a>(uint8_t m, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_Matrix[m][3], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> true_pos[m]);</div>
+<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  </div>
+<div class="line"><a name="l00044"></a><span class="lineno"> 44</span> <span class="preprocessor">#endif </span><span class="comment">/* DOP_H_ */</span><span class="preprocessor"></span></div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="aDOP_8h_html_a8b878ff6d73e8da6fbc3ae40f01b1ce4"><div class="ttname"><a href="DOP_8h.html#a8b878ff6d73e8da6fbc3ae40f01b1ce4">get_PDOP</a></div><div class="ttdeci">matrix_t get_PDOP(uint8_t m, matrix_t ref_Matrix[m][3], matrix_t true_pos[m])</div><div class="ttdoc">Compute the Position Dilution of Precision (PDOP).</div><div class="ttdef"><b>Definition:</b> <a href="DOP_8c_source.html#l00030">DOP.c:30</a></div></div>
+<div class="ttc" id="amatrix_8h_html"><div class="ttname"><a href="matrix_8h.html">matrix.h</a></div><div class="ttdoc">Matrix computations.</div></div>
+<div class="ttc" id="amatrix_8h_html_af38ac6b76d645fea9abd6caeb4d9dd31"><div class="ttname"><a href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a></div><div class="ttdeci">#define matrix_t</div><div class="ttdoc">Define the data type of the matrix elements.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8h_source.html#l00038">matrix.h:38</a></div></div>
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+<div class="title">Data Structures</div> </div>
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+<div class="contents">
+<div class="textblock">Here are the data structures with brief descriptions:</div><div class="directory">
+<table class="directory">
+<tr id="row_0_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </span><span class="icona"><span class="icon">C</span></span><a class="el" href="structmatrix__dim__t.html" target="_self">matrix_dim_t</a></td><td class="desc">A structure to define the row and column number of a matrix </td></tr>
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+ <div class="summary">
+<a href="#func-members">Functions</a> </div>
+ <div class="headertitle">
+<div class="title">combinatorics.c File Reference</div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Calculate possible <img class="formulaInl" alt="$ \binom{n}{k} combinations $" src="form_37.png"/> without repetition in ascending order.
+<a href="#details">More...</a></p>
+<div class="textblock"><code>#include <stdio.h></code><br />
+<code>#include <stdlib.h></code><br />
+<code>#include "<a class="el" href="combinatorics_8h_source.html">combinatorics.h</a>"</code><br />
+<code>#include "<a class="el" href="vector_8h_source.html">vector.h</a>"</code><br />
+</div>
+<p><a href="combinatorics_8c_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a1bcaeef00a7027e9b9b7694da2efd1b9"><td class="memItemLeft" align="right" valign="top">uint8_t </td><td class="memItemRight" valign="bottom"><a class="el" href="combinatorics_8c.html#a1bcaeef00a7027e9b9b7694da2efd1b9">combinatorics_init</a> (uint8_t n, uint8_t k, uint8_t comb_arr[])</td></tr>
+<tr class="memdesc:a1bcaeef00a7027e9b9b7694da2efd1b9"><td class="mdescLeft"> </td><td class="mdescRight">Initialize the combinations generator. <a href="combinatorics_8c.html#a1bcaeef00a7027e9b9b7694da2efd1b9">More...</a><br /></td></tr>
+<tr class="separator:a1bcaeef00a7027e9b9b7694da2efd1b9"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:ae500ce949afe79089e8146eb1fb5cbb0"><td class="memItemLeft" align="right" valign="top">uint8_t </td><td class="memItemRight" valign="bottom"><a class="el" href="combinatorics_8c.html#ae500ce949afe79089e8146eb1fb5cbb0">combinatorics_get_next_without_rep</a> (uint8_t n, uint8_t k, uint8_t comb_arr[])</td></tr>
+<tr class="memdesc:ae500ce949afe79089e8146eb1fb5cbb0"><td class="mdescLeft"> </td><td class="mdescRight">Generate the next combination. <a href="combinatorics_8c.html#ae500ce949afe79089e8146eb1fb5cbb0">More...</a><br /></td></tr>
+<tr class="separator:ae500ce949afe79089e8146eb1fb5cbb0"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Calculate possible <img class="formulaInl" alt="$ \binom{n}{k} combinations $" src="form_37.png"/> without repetition in ascending order. </p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="combinatorics_8c_source.html">combinatorics.c</a>.</p>
+</div><h2 class="groupheader">Function Documentation</h2>
+<a id="ae500ce949afe79089e8146eb1fb5cbb0"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#ae500ce949afe79089e8146eb1fb5cbb0">◆ </a></span>combinatorics_get_next_without_rep()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">uint8_t combinatorics_get_next_without_rep </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>k</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>comb_arr</em>[] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Generate the next combination. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>size of the set. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">k</td><td>size of the sub-set. </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">comb_arr[]</td><td>pointer to the combination set.</td></tr>
+ </table>
+ </dd>
+</dl>
+<p>return <a class="el" href="combinatorics_8h.html#a16396d8294127e6ea7dbbdaa3b8132e7">COMBI_END</a>, if the last combination is generated. return <a class="el" href="combinatorics_8h.html#af92c32bbf9a391a055cb472b6f43c498">COMBI_SUCCESS</a>, if successful. </p>
+
+<p class="definition">Definition at line <a class="el" href="combinatorics_8c_source.html#l00048">48</a> of file <a class="el" href="combinatorics_8c_source.html">combinatorics.c</a>.</p>
+
+<p class="reference">References <a class="el" href="combinatorics_8h_source.html#l00046">COMBI_END</a>, and <a class="el" href="combinatorics_8h_source.html#l00041">COMBI_SUCCESS</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="multipath__dist__detection__mitigation_8c_source.html#l00133">recog_mitigate_multipath()</a>.</p>
+
+</div>
+</div>
+<a id="a1bcaeef00a7027e9b9b7694da2efd1b9"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a1bcaeef00a7027e9b9b7694da2efd1b9">◆ </a></span>combinatorics_init()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">uint8_t combinatorics_init </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>k</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>comb_arr</em>[] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Initialize the combinations generator. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>size of the set. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">k</td><td>size of the sub-set. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">comb_arr[]</td><td>pointer to the combination set.</td></tr>
+ </table>
+ </dd>
+</dl>
+<p>return <a class="el" href="combinatorics_8h.html#a1249f9e7a382225c0889b8ef630d6509">COMBI_ERROR</a>, if k > n. return <a class="el" href="combinatorics_8h.html#a744ae7aa581aa908643d95d470394872">COMBI_EMPTY</a>, if k =0. return <a class="el" href="combinatorics_8h.html#af92c32bbf9a391a055cb472b6f43c498">COMBI_SUCCESS</a>, if successful. </p>
+
+<p class="definition">Definition at line <a class="el" href="combinatorics_8c_source.html#l00029">29</a> of file <a class="el" href="combinatorics_8c_source.html">combinatorics.c</a>.</p>
+
+<p class="reference">References <a class="el" href="combinatorics_8h_source.html#l00036">COMBI_EMPTY</a>, <a class="el" href="combinatorics_8h_source.html#l00031">COMBI_ERROR</a>, and <a class="el" href="combinatorics_8h_source.html#l00041">COMBI_SUCCESS</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="multipath__dist__detection__mitigation_8c_source.html#l00133">recog_mitigate_multipath()</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="navelem"><a class="el" href="dir_8c4128baa09a573ad2b8b8c0061a04c9.html">linear_algebra</a></li><li class="navelem"><a class="el" href="dir_08749d3fb0d5743bfaf3c7bce248dc40.html">utilities</a></li><li class="navelem"><a class="el" href="combinatorics_8c.html">combinatorics.c</a></li>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
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+var combinatorics_8c =
+[
+ [ "combinatorics_get_next_without_rep", "combinatorics_8c.html#ae500ce949afe79089e8146eb1fb5cbb0", null ],
+ [ "combinatorics_init", "combinatorics_8c.html#a1bcaeef00a7027e9b9b7694da2efd1b9", null ]
+];
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+ <div id="projectname">RcdMathLib_doc
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+ <div class="headertitle">
+<div class="title">combinatorics.c</div> </div>
+</div><!--header-->
+<div class="contents">
+<a href="combinatorics_8c.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="preprocessor">#include <stdio.h></span></div>
+<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="preprocessor">#include <stdlib.h></span></div>
+<div class="line"><a name="l00025"></a><span class="lineno"> 25</span>  </div>
+<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="preprocessor">#include "<a class="code" href="combinatorics_8h.html">combinatorics.h</a>"</span></div>
+<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="preprocessor">#include "<a class="code" href="vector_8h.html">vector.h</a>"</span></div>
+<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>  </div>
+<div class="line"><a name="l00029"></a><span class="lineno"><a class="line" href="combinatorics_8h.html#a1bcaeef00a7027e9b9b7694da2efd1b9"> 29</a></span> uint8_t <a class="code" href="combinatorics_8c.html#a1bcaeef00a7027e9b9b7694da2efd1b9">combinatorics_init</a>(uint8_t n, uint8_t k, uint8_t comb_arr[])</div>
+<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> {</div>
+<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  <span class="keywordflow">if</span> (k > n) {</div>
+<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>  <span class="keywordflow">return</span> (<a class="code" href="combinatorics_8h.html#a1249f9e7a382225c0889b8ef630d6509">COMBI_ERROR</a>);</div>
+<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>  }</div>
+<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  </div>
+<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  <span class="keywordflow">if</span> (k == 0) {</div>
+<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  <span class="keywordflow">return</span> (<a class="code" href="combinatorics_8h.html#a744ae7aa581aa908643d95d470394872">COMBI_EMPTY</a>);</div>
+<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  }</div>
+<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  </div>
+<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>  </div>
+<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>  <span class="comment">// Initialization of the combinatoric array with k-values.</span></div>
+<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  <span class="keywordflow">for</span> (uint32_t i = 0; i < k; i++) {</div>
+<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  comb_arr[i] = i;</div>
+<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  }</div>
+<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  </div>
+<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  <span class="keywordflow">return</span> (<a class="code" href="combinatorics_8h.html#af92c32bbf9a391a055cb472b6f43c498">COMBI_SUCCESS</a>);</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>  </div>
+<div class="line"><a name="l00048"></a><span class="lineno"><a class="line" href="combinatorics_8h.html#ae500ce949afe79089e8146eb1fb5cbb0"> 48</a></span> uint8_t <a class="code" href="combinatorics_8c.html#ae500ce949afe79089e8146eb1fb5cbb0">combinatorics_get_next_without_rep</a>(uint8_t n, uint8_t k,</div>
+<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  uint8_t comb_arr[])</div>
+<div class="line"><a name="l00050"></a><span class="lineno"> 50</span> {</div>
+<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  </div>
+<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  <span class="keywordflow">if</span> (comb_arr[k - 1] < n - 1) {</div>
+<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  comb_arr[k - 1] = comb_arr[k - 1] +1;</div>
+<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  <span class="keywordflow">return</span> (<a class="code" href="combinatorics_8h.html#af92c32bbf9a391a055cb472b6f43c498">COMBI_SUCCESS</a>);</div>
+<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  }</div>
+<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  </div>
+<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  int32_t i;</div>
+<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  <span class="keywordflow">for</span> (i = k - 2; i >= 0; i--) {</div>
+<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  <span class="keywordflow">if</span> (comb_arr[i] < n - k + i) {</div>
+<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  <span class="keywordflow">break</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>  }</div>
+<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  </div>
+<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  <span class="comment">//Break, if comb_arr[0] == n - k</span></div>
+<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  <span class="keywordflow">if</span> (i < 0) {</div>
+<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  <span class="keywordflow">return</span> (<a class="code" href="combinatorics_8h.html#a16396d8294127e6ea7dbbdaa3b8132e7">COMBI_END</a>);</div>
+<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  }</div>
+<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  </div>
+<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  comb_arr[i] = comb_arr[i] + 1;</div>
+<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  </div>
+<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  <span class="keywordflow">while</span> (i < k - 1) {</div>
+<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  comb_arr[i + 1] = comb_arr[i] + 1;</div>
+<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  i++;</div>
+<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  }</div>
+<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  </div>
+<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  <span class="keywordflow">return</span> (<a class="code" href="combinatorics_8h.html#af92c32bbf9a391a055cb472b6f43c498">COMBI_SUCCESS</a>);</div>
+<div class="line"><a name="l00077"></a><span class="lineno"> 77</span> }</div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="acombinatorics_8h_html_a744ae7aa581aa908643d95d470394872"><div class="ttname"><a href="combinatorics_8h.html#a744ae7aa581aa908643d95d470394872">COMBI_EMPTY</a></div><div class="ttdeci">#define COMBI_EMPTY</div><div class="ttdoc">Case of an empty combination set.</div><div class="ttdef"><b>Definition:</b> <a href="combinatorics_8h_source.html#l00036">combinatorics.h:36</a></div></div>
+<div class="ttc" id="acombinatorics_8h_html_a1249f9e7a382225c0889b8ef630d6509"><div class="ttname"><a href="combinatorics_8h.html#a1249f9e7a382225c0889b8ef630d6509">COMBI_ERROR</a></div><div class="ttdeci">#define COMBI_ERROR</div><div class="ttdoc">Case of an error.</div><div class="ttdef"><b>Definition:</b> <a href="combinatorics_8h_source.html#l00031">combinatorics.h:31</a></div></div>
+<div class="ttc" id="acombinatorics_8h_html"><div class="ttname"><a href="combinatorics_8h.html">combinatorics.h</a></div><div class="ttdoc">Calculate possible without repetition in ascending order.</div></div>
+<div class="ttc" id="acombinatorics_8h_html_af92c32bbf9a391a055cb472b6f43c498"><div class="ttname"><a href="combinatorics_8h.html#af92c32bbf9a391a055cb472b6f43c498">COMBI_SUCCESS</a></div><div class="ttdeci">#define COMBI_SUCCESS</div><div class="ttdoc">Case of successfully calculated combination set.</div><div class="ttdef"><b>Definition:</b> <a href="combinatorics_8h_source.html#l00041">combinatorics.h:41</a></div></div>
+<div class="ttc" id="acombinatorics_8h_html_a16396d8294127e6ea7dbbdaa3b8132e7"><div class="ttname"><a href="combinatorics_8h.html#a16396d8294127e6ea7dbbdaa3b8132e7">COMBI_END</a></div><div class="ttdeci">#define COMBI_END</div><div class="ttdoc">Case of completion of calculating combination sets.</div><div class="ttdef"><b>Definition:</b> <a href="combinatorics_8h_source.html#l00046">combinatorics.h:46</a></div></div>
+<div class="ttc" id="avector_8h_html"><div class="ttname"><a href="vector_8h.html">vector.h</a></div><div class="ttdoc">Vector computations.</div></div>
+<div class="ttc" id="acombinatorics_8c_html_a1bcaeef00a7027e9b9b7694da2efd1b9"><div class="ttname"><a href="combinatorics_8c.html#a1bcaeef00a7027e9b9b7694da2efd1b9">combinatorics_init</a></div><div class="ttdeci">uint8_t combinatorics_init(uint8_t n, uint8_t k, uint8_t comb_arr[])</div><div class="ttdoc">Initialize the combinations generator.</div><div class="ttdef"><b>Definition:</b> <a href="combinatorics_8c_source.html#l00029">combinatorics.c:29</a></div></div>
+<div class="ttc" id="acombinatorics_8c_html_ae500ce949afe79089e8146eb1fb5cbb0"><div class="ttname"><a href="combinatorics_8c.html#ae500ce949afe79089e8146eb1fb5cbb0">combinatorics_get_next_without_rep</a></div><div class="ttdeci">uint8_t combinatorics_get_next_without_rep(uint8_t n, uint8_t k, uint8_t comb_arr[])</div><div class="ttdoc">Generate the next combination.</div><div class="ttdef"><b>Definition:</b> <a href="combinatorics_8c_source.html#l00048">combinatorics.c:48</a></div></div>
+<!-- start footer part -->
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+ <li class="footer">Generated by
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+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
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diff --git a/doc/doxygen/html/combinatorics_8h.html b/doc/doxygen/html/combinatorics_8h.html
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+<title>RcdMathLib_doc: combinatorics.h File Reference</title>
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+ <div id="projectname">RcdMathLib_doc
+ </div>
+ <div id="projectbrief">Open Source Library for Linear and Non-linear Algebra</div>
+ </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.16 -->
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+<!-- 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="#define-members">Macros</a> |
+<a href="#func-members">Functions</a> </div>
+ <div class="headertitle">
+<div class="title">combinatorics.h File Reference<div class="ingroups"><a class="el" href="group__linear__algebra.html">LINEAR_ALGEBRA</a> » <a class="el" href="group__utilities.html">UTILITIES</a></div></div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Calculate possible <img class="formulaInl" alt="$ \binom{n}{k} combinations $" src="form_37.png"/> without repetition in ascending order.
+<a href="#details">More...</a></p>
+<div class="textblock"><code>#include <stdint.h></code><br />
+</div>
+<p><a href="combinatorics_8h_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="define-members"></a>
+Macros</h2></td></tr>
+<tr class="memitem:a1249f9e7a382225c0889b8ef630d6509"><td class="memItemLeft" align="right" valign="top"><a id="a1249f9e7a382225c0889b8ef630d6509"></a>
+#define </td><td class="memItemRight" valign="bottom"><a class="el" href="combinatorics_8h.html#a1249f9e7a382225c0889b8ef630d6509">COMBI_ERROR</a>   -1</td></tr>
+<tr class="memdesc:a1249f9e7a382225c0889b8ef630d6509"><td class="mdescLeft"> </td><td class="mdescRight">Case of an error. <br /></td></tr>
+<tr class="separator:a1249f9e7a382225c0889b8ef630d6509"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a744ae7aa581aa908643d95d470394872"><td class="memItemLeft" align="right" valign="top"><a id="a744ae7aa581aa908643d95d470394872"></a>
+#define </td><td class="memItemRight" valign="bottom"><a class="el" href="combinatorics_8h.html#a744ae7aa581aa908643d95d470394872">COMBI_EMPTY</a>   0</td></tr>
+<tr class="memdesc:a744ae7aa581aa908643d95d470394872"><td class="mdescLeft"> </td><td class="mdescRight">Case of an empty combination set. <br /></td></tr>
+<tr class="separator:a744ae7aa581aa908643d95d470394872"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:af92c32bbf9a391a055cb472b6f43c498"><td class="memItemLeft" align="right" valign="top"><a id="af92c32bbf9a391a055cb472b6f43c498"></a>
+#define </td><td class="memItemRight" valign="bottom"><a class="el" href="combinatorics_8h.html#af92c32bbf9a391a055cb472b6f43c498">COMBI_SUCCESS</a>   1</td></tr>
+<tr class="memdesc:af92c32bbf9a391a055cb472b6f43c498"><td class="mdescLeft"> </td><td class="mdescRight">Case of successfully calculated combination set. <br /></td></tr>
+<tr class="separator:af92c32bbf9a391a055cb472b6f43c498"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a16396d8294127e6ea7dbbdaa3b8132e7"><td class="memItemLeft" align="right" valign="top"><a id="a16396d8294127e6ea7dbbdaa3b8132e7"></a>
+#define </td><td class="memItemRight" valign="bottom"><a class="el" href="combinatorics_8h.html#a16396d8294127e6ea7dbbdaa3b8132e7">COMBI_END</a>   2</td></tr>
+<tr class="memdesc:a16396d8294127e6ea7dbbdaa3b8132e7"><td class="mdescLeft"> </td><td class="mdescRight">Case of completion of calculating combination sets. <br /></td></tr>
+<tr class="separator:a16396d8294127e6ea7dbbdaa3b8132e7"><td class="memSeparator" colspan="2"> </td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a1bcaeef00a7027e9b9b7694da2efd1b9"><td class="memItemLeft" align="right" valign="top">uint8_t </td><td class="memItemRight" valign="bottom"><a class="el" href="combinatorics_8h.html#a1bcaeef00a7027e9b9b7694da2efd1b9">combinatorics_init</a> (uint8_t n, uint8_t k, uint8_t comb_arr[])</td></tr>
+<tr class="memdesc:a1bcaeef00a7027e9b9b7694da2efd1b9"><td class="mdescLeft"> </td><td class="mdescRight">Initialize the combinations generator. <a href="combinatorics_8h.html#a1bcaeef00a7027e9b9b7694da2efd1b9">More...</a><br /></td></tr>
+<tr class="separator:a1bcaeef00a7027e9b9b7694da2efd1b9"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:ae500ce949afe79089e8146eb1fb5cbb0"><td class="memItemLeft" align="right" valign="top">uint8_t </td><td class="memItemRight" valign="bottom"><a class="el" href="combinatorics_8h.html#ae500ce949afe79089e8146eb1fb5cbb0">combinatorics_get_next_without_rep</a> (uint8_t n, uint8_t k, uint8_t comb_arr[])</td></tr>
+<tr class="memdesc:ae500ce949afe79089e8146eb1fb5cbb0"><td class="mdescLeft"> </td><td class="mdescRight">Generate the next combination. <a href="combinatorics_8h.html#ae500ce949afe79089e8146eb1fb5cbb0">More...</a><br /></td></tr>
+<tr class="separator:ae500ce949afe79089e8146eb1fb5cbb0"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Calculate possible <img class="formulaInl" alt="$ \binom{n}{k} combinations $" src="form_37.png"/> without repetition in ascending order. </p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="combinatorics_8h_source.html">combinatorics.h</a>.</p>
+</div><h2 class="groupheader">Function Documentation</h2>
+<a id="ae500ce949afe79089e8146eb1fb5cbb0"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#ae500ce949afe79089e8146eb1fb5cbb0">◆ </a></span>combinatorics_get_next_without_rep()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">uint8_t combinatorics_get_next_without_rep </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>k</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>comb_arr</em>[] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Generate the next combination. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>size of the set. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">k</td><td>size of the sub-set. </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">comb_arr[]</td><td>pointer to the combination set.</td></tr>
+ </table>
+ </dd>
+</dl>
+<p>return <a class="el" href="combinatorics_8h.html#a16396d8294127e6ea7dbbdaa3b8132e7">COMBI_END</a>, if the last combination is generated. return <a class="el" href="combinatorics_8h.html#af92c32bbf9a391a055cb472b6f43c498">COMBI_SUCCESS</a>, if successful. </p>
+
+<p class="definition">Definition at line <a class="el" href="combinatorics_8c_source.html#l00048">48</a> of file <a class="el" href="combinatorics_8c_source.html">combinatorics.c</a>.</p>
+
+<p class="reference">References <a class="el" href="combinatorics_8h_source.html#l00046">COMBI_END</a>, and <a class="el" href="combinatorics_8h_source.html#l00041">COMBI_SUCCESS</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="multipath__dist__detection__mitigation_8c_source.html#l00133">recog_mitigate_multipath()</a>.</p>
+
+</div>
+</div>
+<a id="a1bcaeef00a7027e9b9b7694da2efd1b9"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a1bcaeef00a7027e9b9b7694da2efd1b9">◆ </a></span>combinatorics_init()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">uint8_t combinatorics_init </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>k</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>comb_arr</em>[] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Initialize the combinations generator. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>size of the set. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">k</td><td>size of the sub-set. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">comb_arr[]</td><td>pointer to the combination set.</td></tr>
+ </table>
+ </dd>
+</dl>
+<p>return <a class="el" href="combinatorics_8h.html#a1249f9e7a382225c0889b8ef630d6509">COMBI_ERROR</a>, if k > n. return <a class="el" href="combinatorics_8h.html#a744ae7aa581aa908643d95d470394872">COMBI_EMPTY</a>, if k =0. return <a class="el" href="combinatorics_8h.html#af92c32bbf9a391a055cb472b6f43c498">COMBI_SUCCESS</a>, if successful. </p>
+
+<p class="definition">Definition at line <a class="el" href="combinatorics_8c_source.html#l00029">29</a> of file <a class="el" href="combinatorics_8c_source.html">combinatorics.c</a>.</p>
+
+<p class="reference">References <a class="el" href="combinatorics_8h_source.html#l00036">COMBI_EMPTY</a>, <a class="el" href="combinatorics_8h_source.html#l00031">COMBI_ERROR</a>, and <a class="el" href="combinatorics_8h_source.html#l00041">COMBI_SUCCESS</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="multipath__dist__detection__mitigation_8c_source.html#l00133">recog_mitigate_multipath()</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="navelem"><a class="el" href="dir_8c4128baa09a573ad2b8b8c0061a04c9.html">linear_algebra</a></li><li class="navelem"><a class="el" href="dir_08749d3fb0d5743bfaf3c7bce248dc40.html">utilities</a></li><li class="navelem"><a class="el" href="dir_d5f52845b1ed776b4ff9f3c6f4225d4b.html">include</a></li><li class="navelem"><a class="el" href="combinatorics_8h.html">combinatorics.h</a></li>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
+ </ul>
+</div>
+</body>
+</html>
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+var combinatorics_8h =
+[
+ [ "COMBI_EMPTY", "combinatorics_8h.html#a744ae7aa581aa908643d95d470394872", null ],
+ [ "COMBI_END", "combinatorics_8h.html#a16396d8294127e6ea7dbbdaa3b8132e7", null ],
+ [ "COMBI_ERROR", "combinatorics_8h.html#a1249f9e7a382225c0889b8ef630d6509", null ],
+ [ "COMBI_SUCCESS", "combinatorics_8h.html#af92c32bbf9a391a055cb472b6f43c498", null ],
+ [ "combinatorics_get_next_without_rep", "combinatorics_8h.html#ae500ce949afe79089e8146eb1fb5cbb0", null ],
+ [ "combinatorics_init", "combinatorics_8h.html#a1bcaeef00a7027e9b9b7694da2efd1b9", null ]
+];
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diff --git a/doc/doxygen/html/combinatorics_8h_source.html b/doc/doxygen/html/combinatorics_8h_source.html
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+<!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>
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+<div class="title">combinatorics.h</div> </div>
+</div><!--header-->
+<div class="contents">
+<a href="combinatorics_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="preprocessor">#ifndef COMBINATORICS_H_</span></div>
+<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="preprocessor">#define COMBINATORICS_H_</span></div>
+<div class="line"><a name="l00025"></a><span class="lineno"> 25</span>  </div>
+<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="preprocessor">#include<stdint.h></span></div>
+<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>  </div>
+<div class="line"><a name="l00031"></a><span class="lineno"><a class="line" href="combinatorics_8h.html#a1249f9e7a382225c0889b8ef630d6509"> 31</a></span> <span class="preprocessor">#define COMBI_ERROR -1</span></div>
+<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>  </div>
+<div class="line"><a name="l00036"></a><span class="lineno"><a class="line" href="combinatorics_8h.html#a744ae7aa581aa908643d95d470394872"> 36</a></span> <span class="preprocessor">#define COMBI_EMPTY 0</span></div>
+<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  </div>
+<div class="line"><a name="l00041"></a><span class="lineno"><a class="line" href="combinatorics_8h.html#af92c32bbf9a391a055cb472b6f43c498"> 41</a></span> <span class="preprocessor">#define COMBI_SUCCESS 1</span></div>
+<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  </div>
+<div class="line"><a name="l00046"></a><span class="lineno"><a class="line" href="combinatorics_8h.html#a16396d8294127e6ea7dbbdaa3b8132e7"> 46</a></span> <span class="preprocessor">#define COMBI_END 2</span></div>
+<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  </div>
+<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  </div>
+<div class="line"><a name="l00061"></a><span class="lineno"> 61</span> uint8_t <a class="code" href="combinatorics_8h.html#a1bcaeef00a7027e9b9b7694da2efd1b9">combinatorics_init</a>(uint8_t n, uint8_t k, uint8_t comb_arr[]);</div>
+<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  </div>
+<div class="line"><a name="l00074"></a><span class="lineno"> 74</span> uint8_t <a class="code" href="combinatorics_8h.html#ae500ce949afe79089e8146eb1fb5cbb0">combinatorics_get_next_without_rep</a>(uint8_t n, uint8_t k, uint8_t comb_arr[]);</div>
+<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  </div>
+<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  </div>
+<div class="line"><a name="l00077"></a><span class="lineno"> 77</span> <span class="preprocessor">#endif </span><span class="comment">/*COMBINATORICS_H_ */</span><span class="preprocessor"></span></div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="acombinatorics_8h_html_ae500ce949afe79089e8146eb1fb5cbb0"><div class="ttname"><a href="combinatorics_8h.html#ae500ce949afe79089e8146eb1fb5cbb0">combinatorics_get_next_without_rep</a></div><div class="ttdeci">uint8_t combinatorics_get_next_without_rep(uint8_t n, uint8_t k, uint8_t comb_arr[])</div><div class="ttdoc">Generate the next combination.</div><div class="ttdef"><b>Definition:</b> <a href="combinatorics_8c_source.html#l00048">combinatorics.c:48</a></div></div>
+<div class="ttc" id="acombinatorics_8h_html_a1bcaeef00a7027e9b9b7694da2efd1b9"><div class="ttname"><a href="combinatorics_8h.html#a1bcaeef00a7027e9b9b7694da2efd1b9">combinatorics_init</a></div><div class="ttdeci">uint8_t combinatorics_init(uint8_t n, uint8_t k, uint8_t comb_arr[])</div><div class="ttdoc">Initialize the combinations generator.</div><div class="ttdef"><b>Definition:</b> <a href="combinatorics_8c_source.html#l00029">combinatorics.c:29</a></div></div>
+<!-- start footer part -->
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+ name="MSearchResults" id="MSearchResults">
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+<div class="PageDoc"><div class="header">
+ <div class="headertitle">
+<div class="title">Creating an application </div> </div>
+</div><!--header-->
+<div class="contents">
+<div class="toc"><h3>Table of Contents</h3>
+<ul><li class="level1"><a href="#creating-an-application-full-fledge">Creating an application for full-fledged devices</a></li>
+<li class="level1"><a href="#creating-an-application-res-lim">Creating an application for resource-limited devices</a></li>
+<li class="level1"><a href="#the-main-function">The main function</a></li>
+<li class="level1"><a href="#the-applications-makefile">The application's Makefile</a><ul><li class="level2"><a href="#the-minimal-makefile">The minimal Makefile</a></li>
+<li class="level2"><a href="#including-modules">Including modules</a></li>
+</ul>
+</li>
+</ul>
+</div>
+<div class="textblock"><dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi</dd></dl>
+<p>An application can be created for full-fledged or resource-limited devices.</p>
+<h1><a class="anchor" id="creating-an-application-full-fledge"></a>
+Creating an application for full-fledged devices</h1>
+<p>We recommend to use the <a href="https://www.eclipse.org/">Eclipse IDE</a> for C/C++ Developers for creating own application. The simplest way to write your own application, is to put your *.c and *.h files under the <code>src</code> directory. Another way is to create a directory containing the multiple C file(s) with your source code. The header files can be imported in the Eclipse IDE by opening Project->Properties and selecting ''C/C++ General->Paths and Symbols->Languages->GNU C'' from the Selection Wizard. Click the ''Add..'' button to browse to the header-directory and the select the ''Apply'' and ''OK'' buttons. The users can be oriented to the main.c and the examples under the src-directory.</p>
+<h1><a class="anchor" id="creating-an-application-res-lim"></a>
+Creating an application for resource-limited devices</h1>
+<p>To create your own application for a resource limited device you need to create a directory containing one or multiple C file(s) with your source code and a Makefile. An example Makefile is available in the <code>src</code> folder of the <a href="https://git.imp.fu-berlin.de/zkasmi/my_lib_full_fledged_devices/tree/master/RcdMathLib_app">RcdMathLib repository</a>.</p>
+<h1><a class="anchor" id="the-main-function"></a>
+The main function</h1>
+<p>RIOT starts two threads the idle and main threads after the board is initialized. The idle thread has the lowest priority while the main thread has a priority that is in the middle between the lowest and the highest available priorities. The main thread is the first that runs and calls the <code>main()</code> function. This function needs to be defined in the source code of each application (typically located in the <code>main.c</code> file).</p>
+<div class="fragment"><div class="line"><span class="preprocessor">#include <stdio.h></span></div>
+<div class="line"> </div>
+<div class="line"><span class="preprocessor">#include "<a class="code" href="matrix__test_8h.html">matrix_test.h</a>"</span></div>
+<div class="line"><span class="preprocessor">#include "<a class="code" href="vector__test_8h.html">vector_test.h</a>"</span></div>
+<div class="line"> </div>
+<div class="line"><span class="keywordtype">int</span> main(<span class="keywordtype">void</span>)</div>
+<div class="line">{</div>
+<div class="line"> puts(<span class="stringliteral">"RcdMathLib Application!"</span>);</div>
+<div class="line"> <span class="comment">// Test the basic operations module;</span></div>
+<div class="line"> <a class="code" href="matrix__test_8h.html#aad3d0f4acb79e8a9b61eda59dc3a12b2">matrix_test</a>();</div>
+<div class="line"> <a class="code" href="vector__test_8h.html#ab0aed13072bc11b97766634c625d6f21">vector_test</a>();</div>
+<div class="line"> </div>
+<div class="line"> <span class="keywordflow">return</span> EXIT_SUCCESS;</div>
+<div class="line">}</div>
+</div><!-- fragment --><p>The above C code shows an application testing the basic operations sub-modules. This application run operations of the vector and matrix sub-modules.</p>
+<h1><a class="anchor" id="the-applications-makefile"></a>
+The application's Makefile</h1>
+<h2><a class="anchor" id="the-minimal-makefile"></a>
+The minimal Makefile</h2>
+<p>At minimum the Makefile of an application (see <a class="el" href="getting-started.html">Getting started</a>) needs to define the following macros:</p><ul>
+<li><code>APPLICATION</code>: contains the name of your application</li>
+<li><code>RIOTBASE</code>: specifies the path to your copy of the RIOT repository (note, the <code></code> macro can be used to give a relative path)</li>
+<li><code>RCDMATHLIB</code>: specifies the path to the copy of the RcdMathLib repository (note, the <code></code> macro can be used to give a relative path)</li>
+<li><code>USEMODULE</code>: specifies the module of the RcdMathLib that you may want to use</li>
+</ul>
+<p>The <code>BOARD</code> macro is also required and recommended to be set to <code>native</code> by default, but is recommended to be overridable with the <code>?=</code> operator. Additionally, it is required to include the <code>Makefile.include</code> from the RcdMathLib and from the <code>RIOTBASE</code>.</p>
+<div class="fragment"><div class="line"># Set the name of your application:</div>
+<div class="line">APPLICATION = foobar</div>
+<div class="line"> </div>
+<div class="line"># If no BOARD is found in the environment, use this default:</div>
+<div class="line">BOARD ?= native</div>
+<div class="line"> </div>
+<div class="line"># This has to be the absolute path to the RcdMathLib base directory:</div>
+<div class="line">RCDMATHLIB ?= $(CURDIR)/../RcdMathLib</div>
+<div class="line"> </div>
+<div class="line"># This has to be the absolute path to the RIOT base directory:</div>
+<div class="line">RIOTBASE ?= $(CURDIR)/../../RIOT</div>
+<div class="line"> </div>
+<div class="line"> </div>
+<div class="line">include $(RCDMATHLIB)/Makefile.include</div>
+<div class="line">include $(RIOTBASE)/Makefile.include</div>
+</div><!-- fragment --><h2><a class="anchor" id="including-modules"></a>
+Including modules</h2>
+<p>The modules of the RcdMathLib as well as of the RcdMathLib can be included. In order to use additional modules, such as a particular driver or a system library, the modules' names must be appended to the USEMODULE variable. For example, to build an application using the SHT11 temperature sensor and UDP/IPv6 functionalities, the Makefile needs to contain the following lines:</p>
+<div class="fragment"><div class="line">USEMODULE += sht11</div>
+<div class="line">USEMODULE += gnrc_ipv6_default</div>
+<div class="line">USEMODULE += gnrc_udp</div>
+</div><!-- fragment --><p>For example, to create an application using the matrix decompositions, the pseudo-inverse, and solving linear equations sub-modules, the Makefile must comprise the following lines:</p>
+<div class="fragment"><div class="line">USEMODULE += matrix_decompositions</div>
+<div class="line">USEMODULE += pseudo_inverse</div>
+<div class="line">USEMODULE += utilities</div>
+</div><!-- fragment --> </div></div><!-- contents -->
+</div><!-- PageDoc -->
+</div><!-- doc-content -->
+<div class="ttc" id="avector__test_8h_html_ab0aed13072bc11b97766634c625d6f21"><div class="ttname"><a href="vector__test_8h.html#ab0aed13072bc11b97766634c625d6f21">vector_test</a></div><div class="ttdeci">void vector_test(void)</div><div class="ttdoc">Examples of vector operations.</div><div class="ttdef"><b>Definition:</b> <a href="vector__test_8c_source.html#l00030">vector_test.c:30</a></div></div>
+<div class="ttc" id="amatrix__test_8h_html"><div class="ttname"><a href="matrix__test_8h.html">matrix_test.h</a></div><div class="ttdoc">Examples of matrix computations.</div></div>
+<div class="ttc" id="avector__test_8h_html"><div class="ttname"><a href="vector__test_8h.html">vector_test.h</a></div><div class="ttdoc">Examples of vector computations.</div></div>
+<div class="ttc" id="amatrix__test_8h_html_aad3d0f4acb79e8a9b61eda59dc3a12b2"><div class="ttname"><a href="matrix__test_8h.html#aad3d0f4acb79e8a9b61eda59dc3a12b2">matrix_test</a></div><div class="ttdeci">void matrix_test(void)</div><div class="ttdoc">Test some matrix operations.</div><div class="ttdef"><b>Definition:</b> <a href="matrix__test_8c_source.html#l00031">matrix_test.c:31</a></div></div>
+<!-- start footer part -->
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+ <div class="headertitle">
+<div class="title">Creating modules </div> </div>
+</div><!--header-->
+<div class="contents">
+<div class="toc"><h3>Table of Contents</h3>
+<ul><li class="level1"><a href="#the-general-structure">The general structure</a></li>
+<li class="level1"><a href="#autotoc_md0">Module dependencies</a></li>
+</ul>
+</div>
+<div class="textblock"><dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi</dd></dl>
+<p>Well-defined units of code in the RcdMathLib that provide a set of features are encapsulated in a module. RcdMathLib is module-based and composed of the following main modules:</p>
+<ul>
+<li>Linear algebra module</li>
+<li>Non-Linear algebra module</li>
+<li>Localization module</li>
+</ul>
+<p>Each main module includes sub-modules, for more details see <a class="el" href="index.html#structure">The structure of the RcdMathLib</a>.</p>
+<dl class="section note"><dt>Note</dt><dd>The following chapters concerning only resource-limited devices.</dd></dl>
+<h1><a class="anchor" id="the-general-structure"></a>
+The general structure</h1>
+<p>Modules are directories containing source and header files as well as a Makefile. Furthermore, their API can be defined in one or more header files, residing in the include path of their super-module.</p>
+<p>For example, the matrix sub-module is implemented in the <a class="el" href="group__basic__operations.html">BASIC_OPERATIONS</a> sub-module, in the <code>linear_algebra/basic_operations</code> directory. Its API is defined in <code>linear_algebra/basic_operations/matrix.h</code>.</p>
+<p>A module's Makefile just needs to include <code>Makefile.base</code> in the RIOT repository as well as <code>Makefile.base</code> and <code>Makefile.include</code> in the RcdMathLib repository:</p>
+<div class="fragment"><div class="line">include $(RIOTBASE)/Makefile.base</div>
+<div class="line">include $(RCDMATHLIB)/linear_algebra/matrix_decompositions/Makefile.include</div>
+<div class="line">include $(RCDMATHLIB)/linear_algebra/matrix_decompositions/Makefile.dep </div>
+</div><!-- fragment --><p>The <code>Makefile.base</code> and <code>Makefile.include</code> macros in the example above are includes for the linear algebra module.</p>
+<p>If your module's name differs from the name of the directory it resides in you need to set the <code>MODULE</code> macro in addition.</p>
+<p>The <code>Makefile.dep</code> serves to define dependencies and the <code>Makefile.include</code> to append target specific information to variables like INCLUDES. Modules can be used by adding their name to the <code>USEMODULE</code> macro of the application's Makefile.</p>
+<h1><a class="anchor" id="autotoc_md0"></a>
+Module dependencies</h1>
+<p>The module may depend on other modules to minimize code duplication. These dependencies are defined in <code>Makefile.dep</code> with the following syntax:</p>
+<div class="fragment"><div class="line">ifneq (,$(filter your_module,$(USEMODULE))) # if module in USEMODULE</div>
+<div class="line"> USEMODULE += dep1 # add dependencies to USEMODULE</div>
+<div class="line"> USEMODULE += dep2</div>
+<div class="line">endif</div>
+</div><!-- fragment --><dl class="section note"><dt>Note</dt><dd><code>Makefile.dep</code> is processed only once therefore, the dependency block for a module must be added <em>before</em> dependencies pull in their dependencies. </dd></dl>
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+ <div class="summary">
+<a href="#func-members">Functions</a> </div>
+ <div class="headertitle">
+<div class="title">damped_newton_raphson.c File Reference</div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Implement the damped Newton–Raphson algorithm.
+<a href="#details">More...</a></p>
+<div class="textblock"><code>#include <stdio.h></code><br />
+<code>#include "<a class="el" href="moore__penrose__pseudo__inverse_8h_source.html">moore_penrose_pseudo_inverse.h</a>"</code><br />
+<code>#include "<a class="el" href="damped__newton__raphson_8h_source.html">damped_newton_raphson.h</a>"</code><br />
+<code>#include "<a class="el" href="vector_8h_source.html">vector.h</a>"</code><br />
+<code>#include "<a class="el" href="matrix_8h_source.html">matrix.h</a>"</code><br />
+</div>
+<p><a href="damped__newton__raphson_8c_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a0cf3dc5e334091bc43820fa1d8e86c14"><td class="memItemLeft" align="right" valign="top">uint8_t </td><td class="memItemRight" valign="bottom"><a class="el" href="damped__newton__raphson_8c.html#a0cf3dc5e334091bc43820fa1d8e86c14">damped_newton_raphson</a> (uint8_t f_length, uint8_t n, <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x0_arr[], double min_lamda, double eps, uint8_t max_it_num, <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> est_x_arr[], void(*get_non_lin_sys)(<a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_arr[], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> f_vec[]), void(*get_jacobian)(<a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_arr[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J[][n]))</td></tr>
+<tr class="memdesc:a0cf3dc5e334091bc43820fa1d8e86c14"><td class="mdescLeft"> </td><td class="mdescRight">Implements the damped Newton–Raphson algorithm. <a href="damped__newton__raphson_8c.html#a0cf3dc5e334091bc43820fa1d8e86c14">More...</a><br /></td></tr>
+<tr class="separator:a0cf3dc5e334091bc43820fa1d8e86c14"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a46f90a02170f4f35f9b3bdbc5c65271a"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="damped__newton__raphson_8c.html#a46f90a02170f4f35f9b3bdbc5c65271a">get_damped_norm</a> (uint8_t m, uint8_t n, <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_arr[], void(*get_non_lin_sys)(<a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_arr[], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> f_vec[]), void(*get_jacobian)(<a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_arr[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J[][n]))</td></tr>
+<tr class="memdesc:a46f90a02170f4f35f9b3bdbc5c65271a"><td class="mdescLeft"> </td><td class="mdescRight">Compute the norm of the damped Newton–Raphson algorithm. <a href="damped__newton__raphson_8c.html#a46f90a02170f4f35f9b3bdbc5c65271a">More...</a><br /></td></tr>
+<tr class="separator:a46f90a02170f4f35f9b3bdbc5c65271a"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:acd5be84f1d01dfb379d85cc8aef8b65e"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="damped__newton__raphson_8c.html#acd5be84f1d01dfb379d85cc8aef8b65e">get_delta_x</a> (uint8_t m, uint8_t n, <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_arr[], void(*get_non_lin_sys)(<a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_arr[], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> f_vec[]), void(*get_jacobian)(<a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_arr[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J[][n]), <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> delta_x_arr[])</td></tr>
+<tr class="memdesc:acd5be84f1d01dfb379d85cc8aef8b65e"><td class="mdescLeft"> </td><td class="mdescRight">Compute the correction vector the damped Newton–Raphson algorithm. <a href="damped__newton__raphson_8c.html#acd5be84f1d01dfb379d85cc8aef8b65e">More...</a><br /></td></tr>
+<tr class="separator:acd5be84f1d01dfb379d85cc8aef8b65e"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Implement the damped Newton–Raphson algorithm. </p>
+<p>The damped Newton–Raphson algorithm enables to solve multi-variant nonlinear equation systems.</p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="damped__newton__raphson_8c_source.html">damped_newton_raphson.c</a>.</p>
+</div><h2 class="groupheader">Function Documentation</h2>
+<a id="a0cf3dc5e334091bc43820fa1d8e86c14"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a0cf3dc5e334091bc43820fa1d8e86c14">◆ </a></span>damped_newton_raphson()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">uint8_t damped_newton_raphson </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>f_length</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>x0_arr</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">double </td>
+ <td class="paramname"><em>min_lamda</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">uint8_t </td>
+ <td class="paramname"><em>max_it_num</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>est_x_arr</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">void(*)(<a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_arr[], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> f_vec[]) </td>
+ <td class="paramname"><em>get_non_lin_sys</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">void(*)(<a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_arr[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J[][n]) </td>
+ <td class="paramname"><em>get_jacobian</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Implements the damped Newton–Raphson algorithm. </p>
+<p>The user should provide pointers to non-linear equation systems and Jacobian functions. </p><dl class="section note"><dt>Note</dt><dd>This function is generally implemented.</dd></dl>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">f_length</td><td>length of the error functions vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>length of the start vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">x0_arr[]</td><td>start vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">min_lamda</td><td>minimal damping factor. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">eps</td><td>accuracy bound. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">max_it_num</td><td>maximal iteration number of the damped Newton–Raphson algorithm. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">est_x_arr[]</td><td>estimated (solution) vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">(*get_non_lin_sys)</td><td>pointer to non-linear equation systems. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">(*get_jacobian)</td><td>pointer to the Jacobian matrix.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>required iteration number. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="damped__newton__raphson_8c_source.html#l00032">32</a> of file <a class="el" href="damped__newton__raphson_8c_source.html">damped_newton_raphson.c</a>.</p>
+
+<p class="reference">References <a class="el" href="damped__newton__raphson_8c_source.html#l00104">get_damped_norm()</a>, <a class="el" href="damped__newton__raphson_8c_source.html#l00120">get_delta_x()</a>, <a class="el" href="vector_8c_source.html#l00104">vector_add()</a>, <a class="el" href="vector_8c_source.html#l00037">vector_copy()</a>, <a class="el" href="vector_8c_source.html#l00042">vector_get_norm2()</a>, <a class="el" href="vector_8c_source.html#l00141">vector_scalar_mul()</a>, and <a class="el" href="vector_8h_source.html#l00033">vector_t</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="fsolve_8c_source.html#l00029">fsolve()</a>.</p>
+
+</div>
+</div>
+<a id="a46f90a02170f4f35f9b3bdbc5c65271a"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a46f90a02170f4f35f9b3bdbc5c65271a">◆ </a></span>get_damped_norm()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">double get_damped_norm </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>x_arr</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">void(*)(<a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_arr[], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> f_vec[]) </td>
+ <td class="paramname"><em>get_non_lin_sys</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">void(*)(<a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_arr[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J[][n]) </td>
+ <td class="paramname"><em>get_jacobian</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute the norm of the damped Newton–Raphson algorithm. </p>
+<p>The user should provide pointers to non-linear equation systems and Jacobian functions. </p><dl class="section note"><dt>Note</dt><dd>This function is generally implemented.</dd></dl>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>number of the non-linear equations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>length of the guess vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">x_arr[]</td><td>guess vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">(*get_non_lin_sys)</td><td>pointer to non-linear equation systems. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">(*get_jacobian)</td><td>pointer to the Jacobian matrix.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>norm of the damped Newton–Raphson algorithm. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="damped__newton__raphson_8c_source.html#l00104">104</a> of file <a class="el" href="damped__newton__raphson_8c_source.html">damped_newton_raphson.c</a>.</p>
+
+<p class="reference">References <a class="el" href="damped__newton__raphson_8c_source.html#l00120">get_delta_x()</a>, <a class="el" href="vector_8c_source.html#l00042">vector_get_norm2()</a>, and <a class="el" href="vector_8h_source.html#l00033">vector_t</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="damped__newton__raphson_8c_source.html#l00032">damped_newton_raphson()</a>.</p>
+
+</div>
+</div>
+<a id="acd5be84f1d01dfb379d85cc8aef8b65e"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#acd5be84f1d01dfb379d85cc8aef8b65e">◆ </a></span>get_delta_x()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void get_delta_x </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>x_arr</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">void(*)(<a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_arr[], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> f_vec[]) </td>
+ <td class="paramname"><em>get_non_lin_sys</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">void(*)(<a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_arr[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J[][n]) </td>
+ <td class="paramname"><em>get_jacobian</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>delta_x_arr</em>[] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute the correction vector the damped Newton–Raphson algorithm. </p>
+<p>The user should provide pointers to non-linear equation systems and Jacobian functions. </p><dl class="section note"><dt>Note</dt><dd>This function is generally implemented.</dd></dl>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>number of the non-linear equations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>length of the guess vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">x_arr[]</td><td>guess vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">(*get_non_lin_sys)</td><td>pointer to non-linear equation systems. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">(*get_jacobian)</td><td>pointer to the Jacobian matrix. </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">delta_x_arr[]</td><td>the correction vector (term). </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="damped__newton__raphson_8c_source.html#l00120">120</a> of file <a class="el" href="damped__newton__raphson_8c_source.html">damped_newton_raphson.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8c_source.html#l00434">matrix_mul_vec()</a>, <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>, <a class="el" href="moore__penrose__pseudo__inverse_8c_source.html#l00038">moore_penrose_get_pinv()</a>, <a class="el" href="vector_8c_source.html#l00131">vector_in_place_scalar_mul()</a>, and <a class="el" href="vector_8h_source.html#l00033">vector_t</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="damped__newton__raphson_8c_source.html#l00032">damped_newton_raphson()</a>, and <a class="el" href="damped__newton__raphson_8c_source.html#l00104">get_damped_norm()</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="navelem"><a class="el" href="dir_943f05c9b1835bace55f73b49add4eb5.html">non_linear_algebra</a></li><li class="navelem"><a class="el" href="dir_96fb3641df0eaf7ad29b2346d426a787.html">solve_non_linear_equations</a></li><li class="navelem"><a class="el" href="damped__newton__raphson_8c.html">damped_newton_raphson.c</a></li>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
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+[
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+ [ "get_damped_norm", "damped__newton__raphson_8c.html#a46f90a02170f4f35f9b3bdbc5c65271a", null ],
+ [ "get_delta_x", "damped__newton__raphson_8c.html#acd5be84f1d01dfb379d85cc8aef8b65e", null ]
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+ <div class="headertitle">
+<div class="title">damped_newton_raphson.c</div> </div>
+</div><!--header-->
+<div class="contents">
+<a href="damped__newton__raphson_8c.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="preprocessor">#include <stdio.h></span></div>
+<div class="line"><a name="l00024"></a><span class="lineno"> 24</span>  </div>
+<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#include "<a class="code" href="moore__penrose__pseudo__inverse_8h.html">moore_penrose_pseudo_inverse.h</a>"</span></div>
+<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="preprocessor">#include "<a class="code" href="damped__newton__raphson_8h.html">damped_newton_raphson.h</a>"</span></div>
+<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="preprocessor">#include "<a class="code" href="vector_8h.html">vector.h</a>"</span></div>
+<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="preprocessor">#include "<a class="code" href="matrix_8h.html">matrix.h</a>"</span></div>
+<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>  </div>
+<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="comment">//Multivariate Newton�s Method</span></div>
+<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="comment">//n is the size of x0 that is equal to the column number of J</span></div>
+<div class="line"><a name="l00032"></a><span class="lineno"><a class="line" href="damped__newton__raphson_8h.html#a0cf3dc5e334091bc43820fa1d8e86c14"> 32</a></span> uint8_t <a class="code" href="damped__newton__raphson_8c.html#a0cf3dc5e334091bc43820fa1d8e86c14">damped_newton_raphson</a>(uint8_t f_length, uint8_t n, <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x0_arr[],</div>
+<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>  <span class="keywordtype">double</span> min_lamda, <span class="keywordtype">double</span> eps, uint8_t max_it_num,</div>
+<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> est_x_arr[],</div>
+<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  <span class="keywordtype">void</span> (*get_non_lin_sys)(<a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_arr[],</div>
+<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> f_vec[]),</div>
+<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  <span class="keywordtype">void</span> (*get_jacobian)(<a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_arr[],</div>
+<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J[][n]))</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>  uint8_t iter_num;</div>
+<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  <span class="keywordtype">double</span> lamda;</div>
+<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  <span class="keywordtype">double</span> lamda_c;</div>
+<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  <span class="keywordtype">double</span> damped_norm_x;</div>
+<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  <span class="keywordtype">double</span> damped_norm_prev_x;</div>
+<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> prev_x_arr[n];</div>
+<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> delta_x[n];</div>
+<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> lamda_mul_delta_x[n];</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>  damped_norm_x = <a class="code" href="damped__newton__raphson_8c.html#a46f90a02170f4f35f9b3bdbc5c65271a">get_damped_norm</a>(f_length, n, x0_arr, get_non_lin_sys,</div>
+<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  get_jacobian);</div>
+<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  iter_num = 0;</div>
+<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  <a class="code" href="vector_8h.html#ae9d3378f23ba835c727245b434b8a7f6">vector_copy</a>(n, x0_arr, prev_x_arr);</div>
+<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  <span class="keywordflow">while</span> ((damped_norm_x >= eps) && (iter_num < max_it_num)) {</div>
+<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  </div>
+<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  <a class="code" href="damped__newton__raphson_8c.html#acd5be84f1d01dfb379d85cc8aef8b65e">get_delta_x</a>(f_length, n, prev_x_arr, get_non_lin_sys,</div>
+<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  get_jacobian, delta_x);</div>
+<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  lamda = 1.0;</div>
+<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  </div>
+<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  <span class="comment">// x = x_k +lamda*s_k (lamda=1)</span></div>
+<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  <a class="code" href="vector_8h.html#a92917951880002814392c2367896d7a0">vector_add</a>(n, prev_x_arr, delta_x, est_x_arr);</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>  lamda_c = 1 - lamda / 4;</div>
+<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  <span class="comment">//|||f(x)|||_k</span></div>
+<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  damped_norm_x = <a class="code" href="damped__newton__raphson_8c.html#a46f90a02170f4f35f9b3bdbc5c65271a">get_damped_norm</a>(f_length, n, est_x_arr,</div>
+<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  get_non_lin_sys, get_jacobian);</div>
+<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  </div>
+<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  <span class="comment">//|||f(prev_x)|||_k</span></div>
+<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  damped_norm_prev_x = <a class="code" href="vector_8h.html#a4cfc452fdff3e32a601ccff140cd9ae6">vector_get_norm2</a>(n, delta_x);</div>
+<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  </div>
+<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  <span class="keywordflow">while</span> (damped_norm_x > (lamda_c * damped_norm_prev_x)) {</div>
+<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  lamda = lamda / 2;</div>
+<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  <span class="keywordflow">if</span> (lamda >= min_lamda) {</div>
+<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  <span class="comment">//x = x_k +lamda*s_k</span></div>
+<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  <a class="code" href="vector_8h.html#a3c0bdd0e463fb34757a71470c55af845">vector_scalar_mul</a>(n, delta_x, lamda,</div>
+<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  lamda_mul_delta_x);</div>
+<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  <a class="code" href="vector_8h.html#a92917951880002814392c2367896d7a0">vector_add</a>(n, prev_x_arr, lamda_mul_delta_x,</div>
+<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  est_x_arr);</div>
+<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  }</div>
+<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  <span class="keywordflow">else</span> {</div>
+<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  <span class="keywordflow">break</span>;</div>
+<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  }</div>
+<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  <span class="comment">// |||f(x)|||_k</span></div>
+<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  damped_norm_x = <a class="code" href="damped__newton__raphson_8c.html#a46f90a02170f4f35f9b3bdbc5c65271a">get_damped_norm</a>(f_length, n, est_x_arr,</div>
+<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  get_non_lin_sys, get_jacobian);</div>
+<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  </div>
+<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  } <span class="comment">//while</span></div>
+<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  </div>
+<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  <span class="keywordflow">if</span> (lamda <= min_lamda) {</div>
+<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  <span class="keywordflow">break</span>;</div>
+<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  }</div>
+<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  </div>
+<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  <span class="comment">//update prev_x</span></div>
+<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  <a class="code" href="vector_8h.html#ae9d3378f23ba835c727245b434b8a7f6">vector_copy</a>(n, est_x_arr, prev_x_arr);</div>
+<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  </div>
+<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  <span class="comment">// |||f(x)|||_k</span></div>
+<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  damped_norm_x = <a class="code" href="damped__newton__raphson_8c.html#a46f90a02170f4f35f9b3bdbc5c65271a">get_damped_norm</a>(f_length, n, est_x_arr,</div>
+<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  get_non_lin_sys, get_jacobian);</div>
+<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  iter_num++;</div>
+<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  }</div>
+<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  </div>
+<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  <span class="keywordflow">return</span> iter_num;</div>
+<div class="line"><a name="l00102"></a><span class="lineno"> 102</span> }</div>
+<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  </div>
+<div class="line"><a name="l00104"></a><span class="lineno"><a class="line" href="damped__newton__raphson_8h.html#a46f90a02170f4f35f9b3bdbc5c65271a"> 104</a></span> <span class="keywordtype">double</span> <a class="code" href="damped__newton__raphson_8c.html#a46f90a02170f4f35f9b3bdbc5c65271a">get_damped_norm</a>(uint8_t m, uint8_t n, <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_arr[],</div>
+<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  <span class="keywordtype">void</span> (*get_non_lin_sys)(<a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_arr[],</div>
+<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> f_vec[]),</div>
+<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  <span class="keywordtype">void</span> (*get_jacobian)(<a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_arr[], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J[][n])</div>
+<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  )</div>
+<div class="line"><a name="l00109"></a><span class="lineno"> 109</span> {</div>
+<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  <span class="keywordtype">double</span> damp_norm = 0.0;</div>
+<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> delta_x_arr[n];</div>
+<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  </div>
+<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  <a class="code" href="damped__newton__raphson_8c.html#acd5be84f1d01dfb379d85cc8aef8b65e">get_delta_x</a>(m, n, x_arr, get_non_lin_sys, get_jacobian, delta_x_arr);</div>
+<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  damp_norm = <a class="code" href="vector_8h.html#a4cfc452fdff3e32a601ccff140cd9ae6">vector_get_norm2</a>(n, delta_x_arr);</div>
+<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  </div>
+<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  <span class="keywordflow">return</span> damp_norm;</div>
+<div class="line"><a name="l00117"></a><span class="lineno"> 117</span> }</div>
+<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  </div>
+<div class="line"><a name="l00119"></a><span class="lineno"> 119</span> <span class="comment">//Computes the correction vector.</span></div>
+<div class="line"><a name="l00120"></a><span class="lineno"><a class="line" href="damped__newton__raphson_8h.html#acd5be84f1d01dfb379d85cc8aef8b65e"> 120</a></span> <span class="keywordtype">void</span> <a class="code" href="damped__newton__raphson_8c.html#acd5be84f1d01dfb379d85cc8aef8b65e">get_delta_x</a>(uint8_t m, uint8_t n, <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_arr[],</div>
+<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  <span class="keywordtype">void</span> (*get_non_lin_sys)(<a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_arr[], <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> f_vec[]),</div>
+<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  <span class="keywordtype">void</span> (*get_jacobian)(<a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_arr[], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J[][n]),</div>
+<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> delta_x_arr[])</div>
+<div class="line"><a name="l00124"></a><span class="lineno"> 124</span> {</div>
+<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J[m][n];</div>
+<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> pinv_J[n][m];</div>
+<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> f_vec[m];</div>
+<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  </div>
+<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  <span class="comment">// compute the Jacobian matrix for the vector x_arr.</span></div>
+<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  get_jacobian(x_arr, J);</div>
+<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  <span class="comment">// compute the inverse of J (J^-1)</span></div>
+<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  <a class="code" href="moore__penrose__pseudo__inverse_8h.html#a0ddd46446f074a0d38c04157686f5fce">moore_penrose_get_pinv</a>(m, n, J, pinv_J);</div>
+<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  <span class="comment">// compute the value of f(x)</span></div>
+<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  get_non_lin_sys(x_arr, f_vec);</div>
+<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  <span class="comment">//delta_x = J1^-1*f(x)</span></div>
+<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  <a class="code" href="matrix_8h.html#ad610bcce232c69ca302550f57b1ad9fb">matrix_mul_vec</a>(n, m, pinv_J, f_vec, delta_x_arr);</div>
+<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  <a class="code" href="vector_8h.html#a90a92f618957807f90ab1d8a8d9150d4">vector_in_place_scalar_mul</a>(n, delta_x_arr, -1);</div>
+<div class="line"><a name="l00138"></a><span class="lineno"> 138</span> }</div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="amoore__penrose__pseudo__inverse_8h_html_a0ddd46446f074a0d38c04157686f5fce"><div class="ttname"><a href="moore__penrose__pseudo__inverse_8h.html#a0ddd46446f074a0d38c04157686f5fce">moore_penrose_get_pinv</a></div><div class="ttdeci">int8_t moore_penrose_get_pinv(uint8_t m, uint8_t n, matrix_t A[m][n], matrix_t pinv_A[n][m])</div><div class="ttdoc">Calculate the Moore–Penrose inverse of a rectangular matrix.</div><div class="ttdef"><b>Definition:</b> <a href="moore__penrose__pseudo__inverse_8c_source.html#l00038">moore_penrose_pseudo_inverse.c:38</a></div></div>
+<div class="ttc" id="avector_8h_html_a4cfc452fdff3e32a601ccff140cd9ae6"><div class="ttname"><a href="vector_8h.html#a4cfc452fdff3e32a601ccff140cd9ae6">vector_get_norm2</a></div><div class="ttdeci">vector_t vector_get_norm2(uint8_t length, vector_t arr[])</div><div class="ttdoc">Compute the 2-norm norm of a vector.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00042">vector.c:42</a></div></div>
+<div class="ttc" id="amatrix_8h_html_ad610bcce232c69ca302550f57b1ad9fb"><div class="ttname"><a href="matrix_8h.html#ad610bcce232c69ca302550f57b1ad9fb">matrix_mul_vec</a></div><div class="ttdeci">void matrix_mul_vec(uint8_t m, uint8_t n, matrix_t matrix[m][n], matrix_t vec[n], matrix_t dst_arr[m])</div><div class="ttdoc">Compute the multiplication of a matrix with a column vector.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00434">matrix.c:434</a></div></div>
+<div class="ttc" id="adamped__newton__raphson_8c_html_acd5be84f1d01dfb379d85cc8aef8b65e"><div class="ttname"><a href="damped__newton__raphson_8c.html#acd5be84f1d01dfb379d85cc8aef8b65e">get_delta_x</a></div><div class="ttdeci">void get_delta_x(uint8_t m, uint8_t n, vector_t x_arr[], void(*get_non_lin_sys)(vector_t x_arr[], vector_t f_vec[]), void(*get_jacobian)(vector_t x_arr[], matrix_t J[][n]), vector_t delta_x_arr[])</div><div class="ttdoc">Compute the correction vector the damped Newton–Raphson algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="damped__newton__raphson_8c_source.html#l00120">damped_newton_raphson.c:120</a></div></div>
+<div class="ttc" id="avector_8h_html_acb41430bc5720dda7d1c45d91a0b0221"><div class="ttname"><a href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a></div><div class="ttdeci">#define vector_t</div><div class="ttdoc">Define the data type of the vector elements.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8h_source.html#l00033">vector.h:33</a></div></div>
+<div class="ttc" id="adamped__newton__raphson_8c_html_a0cf3dc5e334091bc43820fa1d8e86c14"><div class="ttname"><a href="damped__newton__raphson_8c.html#a0cf3dc5e334091bc43820fa1d8e86c14">damped_newton_raphson</a></div><div class="ttdeci">uint8_t damped_newton_raphson(uint8_t f_length, uint8_t n, vector_t x0_arr[], double min_lamda, double eps, uint8_t max_it_num, vector_t est_x_arr[], void(*get_non_lin_sys)(vector_t x_arr[], vector_t f_vec[]), void(*get_jacobian)(vector_t x_arr[], matrix_t J[][n]))</div><div class="ttdoc">Implements the damped Newton–Raphson algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="damped__newton__raphson_8c_source.html#l00032">damped_newton_raphson.c:32</a></div></div>
+<div class="ttc" id="avector_8h_html_a90a92f618957807f90ab1d8a8d9150d4"><div class="ttname"><a href="vector_8h.html#a90a92f618957807f90ab1d8a8d9150d4">vector_in_place_scalar_mul</a></div><div class="ttdeci">void vector_in_place_scalar_mul(uint8_t size, vector_t a_vec[size], vector_t scl)</div><div class="ttdoc">Compute the product of a vector with a real number.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00131">vector.c:131</a></div></div>
+<div class="ttc" id="amatrix_8h_html"><div class="ttname"><a href="matrix_8h.html">matrix.h</a></div><div class="ttdoc">Matrix computations.</div></div>
+<div class="ttc" id="adamped__newton__raphson_8h_html"><div class="ttname"><a href="damped__newton__raphson_8h.html">damped_newton_raphson.h</a></div><div class="ttdoc">Implement the damped Newton–Raphson algorithm.</div></div>
+<div class="ttc" id="amoore__penrose__pseudo__inverse_8h_html"><div class="ttname"><a href="moore__penrose__pseudo__inverse_8h.html">moore_penrose_pseudo_inverse.h</a></div><div class="ttdoc">Moore–Penrose algorithm to compute the pseudo-inverse of a matrix.</div></div>
+<div class="ttc" id="adamped__newton__raphson_8c_html_a46f90a02170f4f35f9b3bdbc5c65271a"><div class="ttname"><a href="damped__newton__raphson_8c.html#a46f90a02170f4f35f9b3bdbc5c65271a">get_damped_norm</a></div><div class="ttdeci">double get_damped_norm(uint8_t m, uint8_t n, vector_t x_arr[], void(*get_non_lin_sys)(vector_t x_arr[], vector_t f_vec[]), void(*get_jacobian)(vector_t x_arr[], matrix_t J[][n]))</div><div class="ttdoc">Compute the norm of the damped Newton–Raphson algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="damped__newton__raphson_8c_source.html#l00104">damped_newton_raphson.c:104</a></div></div>
+<div class="ttc" id="avector_8h_html_ae9d3378f23ba835c727245b434b8a7f6"><div class="ttname"><a href="vector_8h.html#ae9d3378f23ba835c727245b434b8a7f6">vector_copy</a></div><div class="ttdeci">void vector_copy(uint8_t size, vector_t src_arr[], vector_t dest_arr[])</div><div class="ttdoc">Copy the elements of the source vector to the destination vector.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00037">vector.c:37</a></div></div>
+<div class="ttc" id="amatrix_8h_html_af38ac6b76d645fea9abd6caeb4d9dd31"><div class="ttname"><a href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a></div><div class="ttdeci">#define matrix_t</div><div class="ttdoc">Define the data type of the matrix elements.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8h_source.html#l00038">matrix.h:38</a></div></div>
+<div class="ttc" id="avector_8h_html_a92917951880002814392c2367896d7a0"><div class="ttname"><a href="vector_8h.html#a92917951880002814392c2367896d7a0">vector_add</a></div><div class="ttdeci">void vector_add(uint8_t size, vector_t a_vec[size], vector_t b_vec[size], vector_t a_plus_b_vec[size])</div><div class="ttdoc">Compute the addition of two vectors.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00104">vector.c:104</a></div></div>
+<div class="ttc" id="avector_8h_html"><div class="ttname"><a href="vector_8h.html">vector.h</a></div><div class="ttdoc">Vector computations.</div></div>
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+<a href="#func-members">Functions</a> </div>
+ <div class="headertitle">
+<div class="title">damped_newton_raphson.h File Reference<div class="ingroups"><a class="el" href="group__non__linear__algebra.html">NON_LINEAR_ALGEBRA</a> » <a class="el" href="group__solve__non__linear__equations.html">SOLVE_NON_LINEAR_EQUATIONS</a></div></div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Implement the damped Newton–Raphson algorithm.
+<a href="#details">More...</a></p>
+<div class="textblock"><code>#include "<a class="el" href="matrix_8h_source.html">matrix.h</a>"</code><br />
+<code>#include "<a class="el" href="vector_8h_source.html">vector.h</a>"</code><br />
+</div>
+<p><a href="damped__newton__raphson_8h_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a0cf3dc5e334091bc43820fa1d8e86c14"><td class="memItemLeft" align="right" valign="top">uint8_t </td><td class="memItemRight" valign="bottom"><a class="el" href="damped__newton__raphson_8h.html#a0cf3dc5e334091bc43820fa1d8e86c14">damped_newton_raphson</a> (uint8_t f_length, uint8_t n, <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x0_arr[], double min_lamda, double eps, uint8_t max_it_num, <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> est_x_arr[], void(*get_non_lin_sys)(<a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_arr[], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> f_vec[]), void(*get_jacobian)(<a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_arr[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J[][n]))</td></tr>
+<tr class="memdesc:a0cf3dc5e334091bc43820fa1d8e86c14"><td class="mdescLeft"> </td><td class="mdescRight">Implements the damped Newton–Raphson algorithm. <a href="damped__newton__raphson_8h.html#a0cf3dc5e334091bc43820fa1d8e86c14">More...</a><br /></td></tr>
+<tr class="separator:a0cf3dc5e334091bc43820fa1d8e86c14"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a46f90a02170f4f35f9b3bdbc5c65271a"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="damped__newton__raphson_8h.html#a46f90a02170f4f35f9b3bdbc5c65271a">get_damped_norm</a> (uint8_t m, uint8_t n, <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_arr[], void(*get_non_lin_sys)(<a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_arr[], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> f_vec[]), void(*get_jacobian)(<a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_arr[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J[][n]))</td></tr>
+<tr class="memdesc:a46f90a02170f4f35f9b3bdbc5c65271a"><td class="mdescLeft"> </td><td class="mdescRight">Compute the norm of the damped Newton–Raphson algorithm. <a href="damped__newton__raphson_8h.html#a46f90a02170f4f35f9b3bdbc5c65271a">More...</a><br /></td></tr>
+<tr class="separator:a46f90a02170f4f35f9b3bdbc5c65271a"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:acd5be84f1d01dfb379d85cc8aef8b65e"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="damped__newton__raphson_8h.html#acd5be84f1d01dfb379d85cc8aef8b65e">get_delta_x</a> (uint8_t m, uint8_t n, <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_arr[], void(*get_non_lin_sys)(<a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_arr[], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> f_vec[]), void(*get_jacobian)(<a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_arr[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J[][n]), <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> delta_x_arr[])</td></tr>
+<tr class="memdesc:acd5be84f1d01dfb379d85cc8aef8b65e"><td class="mdescLeft"> </td><td class="mdescRight">Compute the correction vector the damped Newton–Raphson algorithm. <a href="damped__newton__raphson_8h.html#acd5be84f1d01dfb379d85cc8aef8b65e">More...</a><br /></td></tr>
+<tr class="separator:acd5be84f1d01dfb379d85cc8aef8b65e"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Implement the damped Newton–Raphson algorithm. </p>
+<p>The damped Newton–Raphson algorithm enables to solve multi-variant nonlinear equation systems.</p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="damped__newton__raphson_8h_source.html">damped_newton_raphson.h</a>.</p>
+</div><h2 class="groupheader">Function Documentation</h2>
+<a id="a0cf3dc5e334091bc43820fa1d8e86c14"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a0cf3dc5e334091bc43820fa1d8e86c14">◆ </a></span>damped_newton_raphson()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">uint8_t damped_newton_raphson </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>f_length</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>x0_arr</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">double </td>
+ <td class="paramname"><em>min_lamda</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">uint8_t </td>
+ <td class="paramname"><em>max_it_num</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>est_x_arr</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">void(*)(<a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_arr[], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> f_vec[]) </td>
+ <td class="paramname"><em>get_non_lin_sys</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">void(*)(<a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_arr[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J[][n]) </td>
+ <td class="paramname"><em>get_jacobian</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Implements the damped Newton–Raphson algorithm. </p>
+<p>The user should provide pointers to non-linear equation systems and Jacobian functions. </p><dl class="section note"><dt>Note</dt><dd>This function is generally implemented.</dd></dl>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">f_length</td><td>length of the error functions vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>length of the start vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">x0_arr[]</td><td>start vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">min_lamda</td><td>minimal damping factor. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">eps</td><td>accuracy bound. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">max_it_num</td><td>maximal iteration number of the damped Newton–Raphson algorithm. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">est_x_arr[]</td><td>estimated (solution) vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">(*get_non_lin_sys)</td><td>pointer to non-linear equation systems. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">(*get_jacobian)</td><td>pointer to the Jacobian matrix.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>required iteration number. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="damped__newton__raphson_8c_source.html#l00032">32</a> of file <a class="el" href="damped__newton__raphson_8c_source.html">damped_newton_raphson.c</a>.</p>
+
+<p class="reference">References <a class="el" href="damped__newton__raphson_8c_source.html#l00104">get_damped_norm()</a>, <a class="el" href="damped__newton__raphson_8c_source.html#l00120">get_delta_x()</a>, <a class="el" href="vector_8c_source.html#l00104">vector_add()</a>, <a class="el" href="vector_8c_source.html#l00037">vector_copy()</a>, <a class="el" href="vector_8c_source.html#l00042">vector_get_norm2()</a>, <a class="el" href="vector_8c_source.html#l00141">vector_scalar_mul()</a>, and <a class="el" href="vector_8h_source.html#l00033">vector_t</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="fsolve_8c_source.html#l00029">fsolve()</a>.</p>
+
+</div>
+</div>
+<a id="a46f90a02170f4f35f9b3bdbc5c65271a"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a46f90a02170f4f35f9b3bdbc5c65271a">◆ </a></span>get_damped_norm()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">double get_damped_norm </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>x_arr</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">void(*)(<a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_arr[], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> f_vec[]) </td>
+ <td class="paramname"><em>get_non_lin_sys</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">void(*)(<a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_arr[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J[][n]) </td>
+ <td class="paramname"><em>get_jacobian</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute the norm of the damped Newton–Raphson algorithm. </p>
+<p>The user should provide pointers to non-linear equation systems and Jacobian functions. </p><dl class="section note"><dt>Note</dt><dd>This function is generally implemented.</dd></dl>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>number of the non-linear equations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>length of the guess vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">x_arr[]</td><td>guess vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">(*get_non_lin_sys)</td><td>pointer to non-linear equation systems. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">(*get_jacobian)</td><td>pointer to the Jacobian matrix.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>norm of the damped Newton–Raphson algorithm. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="damped__newton__raphson_8c_source.html#l00104">104</a> of file <a class="el" href="damped__newton__raphson_8c_source.html">damped_newton_raphson.c</a>.</p>
+
+<p class="reference">References <a class="el" href="damped__newton__raphson_8c_source.html#l00120">get_delta_x()</a>, <a class="el" href="vector_8c_source.html#l00042">vector_get_norm2()</a>, and <a class="el" href="vector_8h_source.html#l00033">vector_t</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="damped__newton__raphson_8c_source.html#l00032">damped_newton_raphson()</a>.</p>
+
+</div>
+</div>
+<a id="acd5be84f1d01dfb379d85cc8aef8b65e"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#acd5be84f1d01dfb379d85cc8aef8b65e">◆ </a></span>get_delta_x()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void get_delta_x </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>x_arr</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">void(*)(<a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_arr[], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> f_vec[]) </td>
+ <td class="paramname"><em>get_non_lin_sys</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">void(*)(<a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_arr[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J[][n]) </td>
+ <td class="paramname"><em>get_jacobian</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>delta_x_arr</em>[] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute the correction vector the damped Newton–Raphson algorithm. </p>
+<p>The user should provide pointers to non-linear equation systems and Jacobian functions. </p><dl class="section note"><dt>Note</dt><dd>This function is generally implemented.</dd></dl>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>number of the non-linear equations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>length of the guess vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">x_arr[]</td><td>guess vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">(*get_non_lin_sys)</td><td>pointer to non-linear equation systems. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">(*get_jacobian)</td><td>pointer to the Jacobian matrix. </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">delta_x_arr[]</td><td>the correction vector (term). </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="damped__newton__raphson_8c_source.html#l00120">120</a> of file <a class="el" href="damped__newton__raphson_8c_source.html">damped_newton_raphson.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8c_source.html#l00434">matrix_mul_vec()</a>, <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>, <a class="el" href="moore__penrose__pseudo__inverse_8c_source.html#l00038">moore_penrose_get_pinv()</a>, <a class="el" href="vector_8c_source.html#l00131">vector_in_place_scalar_mul()</a>, and <a class="el" href="vector_8h_source.html#l00033">vector_t</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="damped__newton__raphson_8c_source.html#l00032">damped_newton_raphson()</a>, and <a class="el" href="damped__newton__raphson_8c_source.html#l00104">get_damped_norm()</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="navelem"><a class="el" href="dir_943f05c9b1835bace55f73b49add4eb5.html">non_linear_algebra</a></li><li class="navelem"><a class="el" href="dir_96fb3641df0eaf7ad29b2346d426a787.html">solve_non_linear_equations</a></li><li class="navelem"><a class="el" href="dir_11810571c148016bdf8359f21ff128b1.html">include</a></li><li class="navelem"><a class="el" href="damped__newton__raphson_8h.html">damped_newton_raphson.h</a></li>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
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+</html>
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+[
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+ [ "get_damped_norm", "damped__newton__raphson_8h.html#a46f90a02170f4f35f9b3bdbc5c65271a", null ],
+ [ "get_delta_x", "damped__newton__raphson_8h.html#acd5be84f1d01dfb379d85cc8aef8b65e", null ]
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+ <div class="headertitle">
+<div class="title">damped_newton_raphson.h</div> </div>
+</div><!--header-->
+<div class="contents">
+<a href="damped__newton__raphson_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="preprocessor">#ifndef DAMPED_NEWTON_RAPHSON_H_</span></div>
+<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#define DAMPED_NEWTON_RAPHSON_H_</span></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="preprocessor">#include "<a class="code" href="matrix_8h.html">matrix.h</a>"</span></div>
+<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="preprocessor">#include "<a class="code" href="vector_8h.html">vector.h</a>"</span></div>
+<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>  </div>
+<div class="line"><a name="l00049"></a><span class="lineno"> 49</span> uint8_t <a class="code" href="damped__newton__raphson_8h.html#a0cf3dc5e334091bc43820fa1d8e86c14">damped_newton_raphson</a>(uint8_t f_length, uint8_t n, <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x0_arr[],</div>
+<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  <span class="keywordtype">double</span> min_lamda, <span class="keywordtype">double</span> eps, uint8_t max_it_num,</div>
+<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> est_x_arr[],</div>
+<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  <span class="keywordtype">void</span> (*get_non_lin_sys)(<a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_arr[],</div>
+<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> f_vec[]),</div>
+<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  <span class="keywordtype">void</span> (*get_jacobian)(<a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_arr[],</div>
+<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J[][n]));</div>
+<div class="line"><a name="l00070"></a><span class="lineno"> 70</span> <span class="keywordtype">double</span> <a class="code" href="damped__newton__raphson_8h.html#a46f90a02170f4f35f9b3bdbc5c65271a">get_damped_norm</a>(uint8_t m, uint8_t n, <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_arr[],</div>
+<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  <span class="keywordtype">void</span> (*get_non_lin_sys)(<a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_arr[],</div>
+<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> f_vec[]),</div>
+<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  <span class="keywordtype">void</span> (*get_jacobian)(<a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_arr[], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J[][n])</div>
+<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  );</div>
+<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  </div>
+<div class="line"><a name="l00089"></a><span class="lineno"> 89</span> <span class="keywordtype">void</span> <a class="code" href="damped__newton__raphson_8h.html#acd5be84f1d01dfb379d85cc8aef8b65e">get_delta_x</a>(uint8_t m, uint8_t n, <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_arr[],</div>
+<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  <span class="keywordtype">void</span> (*get_non_lin_sys)(<a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_arr[], <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> f_vec[]),</div>
+<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  <span class="keywordtype">void</span> (*get_jacobian)(<a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_arr[], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J[][n]),</div>
+<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> delta_x_arr[]);</div>
+<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  </div>
+<div class="line"><a name="l00094"></a><span class="lineno"> 94</span> <span class="preprocessor">#endif </span><span class="comment">/* DAMPED_NEWTON_RAPHSON_H_ */</span><span class="preprocessor"></span></div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="adamped__newton__raphson_8h_html_a0cf3dc5e334091bc43820fa1d8e86c14"><div class="ttname"><a href="damped__newton__raphson_8h.html#a0cf3dc5e334091bc43820fa1d8e86c14">damped_newton_raphson</a></div><div class="ttdeci">uint8_t damped_newton_raphson(uint8_t f_length, uint8_t n, vector_t x0_arr[], double min_lamda, double eps, uint8_t max_it_num, vector_t est_x_arr[], void(*get_non_lin_sys)(vector_t x_arr[], vector_t f_vec[]), void(*get_jacobian)(vector_t x_arr[], matrix_t J[][n]))</div><div class="ttdoc">Implements the damped Newton–Raphson algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="damped__newton__raphson_8c_source.html#l00032">damped_newton_raphson.c:32</a></div></div>
+<div class="ttc" id="avector_8h_html_acb41430bc5720dda7d1c45d91a0b0221"><div class="ttname"><a href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a></div><div class="ttdeci">#define vector_t</div><div class="ttdoc">Define the data type of the vector elements.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8h_source.html#l00033">vector.h:33</a></div></div>
+<div class="ttc" id="amatrix_8h_html"><div class="ttname"><a href="matrix_8h.html">matrix.h</a></div><div class="ttdoc">Matrix computations.</div></div>
+<div class="ttc" id="amatrix_8h_html_af38ac6b76d645fea9abd6caeb4d9dd31"><div class="ttname"><a href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a></div><div class="ttdeci">#define matrix_t</div><div class="ttdoc">Define the data type of the matrix elements.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8h_source.html#l00038">matrix.h:38</a></div></div>
+<div class="ttc" id="avector_8h_html"><div class="ttname"><a href="vector_8h.html">vector.h</a></div><div class="ttdoc">Vector computations.</div></div>
+<div class="ttc" id="adamped__newton__raphson_8h_html_a46f90a02170f4f35f9b3bdbc5c65271a"><div class="ttname"><a href="damped__newton__raphson_8h.html#a46f90a02170f4f35f9b3bdbc5c65271a">get_damped_norm</a></div><div class="ttdeci">double get_damped_norm(uint8_t m, uint8_t n, vector_t x_arr[], void(*get_non_lin_sys)(vector_t x_arr[], vector_t f_vec[]), void(*get_jacobian)(vector_t x_arr[], matrix_t J[][n]))</div><div class="ttdoc">Compute the norm of the damped Newton–Raphson algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="damped__newton__raphson_8c_source.html#l00104">damped_newton_raphson.c:104</a></div></div>
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+<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
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+ <li class="navelem"><a class="el" href="dir_ca7b3fe3a5c68321cdadecc73cd5d1a0.html">localization</a></li><li class="navelem"><a class="el" href="dir_fdc176930829c278cabf5fddd85dbef8.html">position_algos</a></li>
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+ <div id="projectname">RcdMathLib_doc
+ </div>
+ <div id="projectbrief">Open Source Library for Linear and Non-linear Algebra</div>
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+ onmouseover="return searchBox.OnSearchSelectShow()"
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+<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">dist_based_fi.c File Reference</div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Error function of distance-based localization systems.
+<a href="#details">More...</a></p>
+<div class="textblock"><code>#include <math.h></code><br />
+<code>#include "<a class="el" href="matrix_8h_source.html">matrix.h</a>"</code><br />
+</div>
+<p><a href="dist__based__fi_8c_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a67e1cf0904bc0be1258e5fb4cb292a9a"><td class="memItemLeft" align="right" valign="top"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="dist__based__fi_8c.html#a67e1cf0904bc0be1258e5fb4cb292a9a">dist_based_fi</a> (<a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ri)</td></tr>
+<tr class="memdesc:a67e1cf0904bc0be1258e5fb4cb292a9a"><td class="mdescLeft"> </td><td class="mdescRight">Defines the error function of a distance-based localization system. <a href="dist__based__fi_8c.html#a67e1cf0904bc0be1258e5fb4cb292a9a">More...</a><br /></td></tr>
+<tr class="separator:a67e1cf0904bc0be1258e5fb4cb292a9a"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a2a1d8806de5f7f5131be1fbd706c17fa"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="dist__based__fi_8c.html#a2a1d8806de5f7f5131be1fbd706c17fa">dist_based_f_i</a> (uint8_t ref_points_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_mat[ref_points_num][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> d_vec[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> f_vec[])</td></tr>
+<tr class="memdesc:a2a1d8806de5f7f5131be1fbd706c17fa"><td class="mdescLeft"> </td><td class="mdescRight">Defines the error function of a distance-based localization system. <a href="dist__based__fi_8c.html#a2a1d8806de5f7f5131be1fbd706c17fa">More...</a><br /></td></tr>
+<tr class="separator:a2a1d8806de5f7f5131be1fbd706c17fa"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Error function of distance-based localization systems. </p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="dist__based__fi_8c_source.html">dist_based_fi.c</a>.</p>
+</div><h2 class="groupheader">Function Documentation</h2>
+<a id="a2a1d8806de5f7f5131be1fbd706c17fa"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a2a1d8806de5f7f5131be1fbd706c17fa">◆ </a></span>dist_based_f_i()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void dist_based_f_i </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>ref_points_num</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>ref_point_mat</em>[ref_points_num][3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>point</em>[3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>d_vec</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>f_vec</em>[] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Defines the error function of a distance-based localization system. </p>
+<p>This error function is related to multiple reference stations.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">ref_points_num</td><td>Number of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">ref_point_mat[][]</td><td>three-dimensional coordinates of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">point[]</td><td>three-dimensional coordinates of the mobile device. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">d_vec[]</td><td>distances to the reference stations. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">f_vec[]</td><td>errors related to reference stations and destined position. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="dist__based__fi_8c_source.html#l00047">47</a> of file <a class="el" href="dist__based__fi_8c_source.html">dist_based_fi.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="multipath__algo__own__norm__distr__test_8c_source.html#l00038">multipath_algo_own_norm_distr_test()</a>, and <a class="el" href="position__optimization__test_8c_source.html#l00037">position_optimization_test()</a>.</p>
+
+</div>
+</div>
+<a id="a67e1cf0904bc0be1258e5fb4cb292a9a"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a67e1cf0904bc0be1258e5fb4cb292a9a">◆ </a></span>dist_based_fi()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> dist_based_fi </td>
+ <td>(</td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>point</em>[3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>ref_point</em>[3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>ri</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Defines the error function of a distance-based localization system. </p>
+<p>This error function is related to one reference station.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">point[]</td><td>three-dimensional coordinates of the mobile device. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">ref_point[]</td><td>three-dimensional coordinates of a reference station. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">ri</td><td>distance to a reference station.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the error related to a reference station and destined position. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="dist__based__fi_8c_source.html#l00026">26</a> of file <a class="el" href="dist__based__fi_8c_source.html">dist_based_fi.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="dist__based__jacobian_8c_source.html#l00028">dist_based_jacobian_get_JTf()</a>, and <a class="el" href="dist__based__jacobian_8c_source.html#l00056">dist_based_jacobian_get_JTJ()</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="navelem"><a class="el" href="dir_ca7b3fe3a5c68321cdadecc73cd5d1a0.html">localization</a></li><li class="navelem"><a class="el" href="dir_fdc176930829c278cabf5fddd85dbef8.html">position_algos</a></li><li class="navelem"><a class="el" href="dir_143dcbc7e3ad8f423ba36defd23abfa7.html">distance_based</a></li><li class="navelem"><a class="el" href="dist__based__fi_8c.html">dist_based_fi.c</a></li>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
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+</div>
+</body>
+</html>
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+var dist__based__fi_8c =
+[
+ [ "dist_based_f_i", "dist__based__fi_8c.html#a2a1d8806de5f7f5131be1fbd706c17fa", null ],
+ [ "dist_based_fi", "dist__based__fi_8c.html#a67e1cf0904bc0be1258e5fb4cb292a9a", null ]
+];
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+ <td id="projectalign" style="padding-left: 0.5em;">
+ <div id="projectname">RcdMathLib_doc
+ </div>
+ <div id="projectbrief">Open Source Library for Linear and Non-linear Algebra</div>
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+<div class="title">dist_based_fi.c</div> </div>
+</div><!--header-->
+<div class="contents">
+<a href="dist__based__fi_8c.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00022"></a><span class="lineno"> 22</span> <span class="preprocessor">#include <math.h></span></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="preprocessor">#include "<a class="code" href="matrix_8h.html">matrix.h</a>"</span></div>
+<div class="line"><a name="l00025"></a><span class="lineno"> 25</span>  </div>
+<div class="line"><a name="l00026"></a><span class="lineno"><a class="line" href="dist__based__fi_8h.html#a67e1cf0904bc0be1258e5fb4cb292a9a"> 26</a></span> <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> <a class="code" href="dist__based__fi_8c.html#a67e1cf0904bc0be1258e5fb4cb292a9a">dist_based_fi</a>(<a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point[3], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ri)</div>
+<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> {</div>
+<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>  </div>
+<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> f_i =</div>
+<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>  sqrt(</div>
+<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  (point[0] - ref_point[0])</div>
+<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>  * (point[0]</div>
+<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>  - ref_point[0])</div>
+<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  +</div>
+<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  (point[1] - ref_point[1])</div>
+<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  * (point[1]</div>
+<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  - ref_point[1])</div>
+<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  +</div>
+<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>  (point[2] - ref_point[2])</div>
+<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>  * (point[2]</div>
+<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  - ref_point[2])</div>
+<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  ) - ri;</div>
+<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  </div>
+<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  <span class="keywordflow">return</span> f_i;</div>
+<div class="line"><a name="l00045"></a><span class="lineno"> 45</span> }</div>
+<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  </div>
+<div class="line"><a name="l00047"></a><span class="lineno"><a class="line" href="dist__based__fi_8h.html#a2a1d8806de5f7f5131be1fbd706c17fa"> 47</a></span> <span class="keywordtype">void</span> <a class="code" href="dist__based__fi_8c.html#a2a1d8806de5f7f5131be1fbd706c17fa">dist_based_f_i</a>(uint8_t ref_points_num,</div>
+<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_mat[ref_points_num][3],</div>
+<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3],</div>
+<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> d_vec[], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> f_vec[])</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>  uint8_t i;</div>
+<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  </div>
+<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  <span class="keywordflow">for</span> (i = 0; i < ref_points_num; i++) {</div>
+<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  f_vec[i] =</div>
+<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  sqrt(</div>
+<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  (point[0] - ref_point_mat[i][0])</div>
+<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  * (point[0]</div>
+<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  - ref_point_mat[i][0])</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>  (point[1]</div>
+<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  - ref_point_mat[i][1])</div>
+<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  * (point[1]</div>
+<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  - ref_point_mat[i][1])</div>
+<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  +</div>
+<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  (point[2]</div>
+<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  - ref_point_mat[i][2])</div>
+<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  * (point[2]</div>
+<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  - ref_point_mat[i][2])</div>
+<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  )</div>
+<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  - d_vec[i];</div>
+<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  }</div>
+<div class="line"><a name="l00073"></a><span class="lineno"> 73</span> }</div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="adist__based__fi_8c_html_a2a1d8806de5f7f5131be1fbd706c17fa"><div class="ttname"><a href="dist__based__fi_8c.html#a2a1d8806de5f7f5131be1fbd706c17fa">dist_based_f_i</a></div><div class="ttdeci">void dist_based_f_i(uint8_t ref_points_num, matrix_t ref_point_mat[ref_points_num][3], matrix_t point[3], matrix_t d_vec[], matrix_t f_vec[])</div><div class="ttdoc">Defines the error function of a distance-based localization system.</div><div class="ttdef"><b>Definition:</b> <a href="dist__based__fi_8c_source.html#l00047">dist_based_fi.c:47</a></div></div>
+<div class="ttc" id="amatrix_8h_html"><div class="ttname"><a href="matrix_8h.html">matrix.h</a></div><div class="ttdoc">Matrix computations.</div></div>
+<div class="ttc" id="amatrix_8h_html_af38ac6b76d645fea9abd6caeb4d9dd31"><div class="ttname"><a href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a></div><div class="ttdeci">#define matrix_t</div><div class="ttdoc">Define the data type of the matrix elements.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8h_source.html#l00038">matrix.h:38</a></div></div>
+<div class="ttc" id="adist__based__fi_8c_html_a67e1cf0904bc0be1258e5fb4cb292a9a"><div class="ttname"><a href="dist__based__fi_8c.html#a67e1cf0904bc0be1258e5fb4cb292a9a">dist_based_fi</a></div><div class="ttdeci">matrix_t dist_based_fi(matrix_t point[3], matrix_t ref_point[3], matrix_t ri)</div><div class="ttdoc">Defines the error function of a distance-based localization system.</div><div class="ttdef"><b>Definition:</b> <a href="dist__based__fi_8c_source.html#l00026">dist_based_fi.c:26</a></div></div>
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+ <div id="projectname">RcdMathLib_doc
+ </div>
+ <div id="projectbrief">Open Source Library for Linear and Non-linear Algebra</div>
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+<!-- Generated by Doxygen 1.8.16 -->
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+/* @license-end */
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+ onmouseover="return searchBox.OnSearchSelectShow()"
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+ 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">dist_based_fi.h File Reference<div class="ingroups"><a class="el" href="group__localization.html">LOCALIZATION</a> » <a class="el" href="group__position__algos.html">POSITION_ALGOS</a> » <a class="el" href="group__distance__based.html">DISTANCE_BASED</a></div></div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Error function of distance-based localization systems.
+<a href="#details">More...</a></p>
+<div class="textblock"><code>#include "<a class="el" href="matrix_8h_source.html">matrix.h</a>"</code><br />
+</div>
+<p><a href="dist__based__fi_8h_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a67e1cf0904bc0be1258e5fb4cb292a9a"><td class="memItemLeft" align="right" valign="top"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="dist__based__fi_8h.html#a67e1cf0904bc0be1258e5fb4cb292a9a">dist_based_fi</a> (<a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ri)</td></tr>
+<tr class="memdesc:a67e1cf0904bc0be1258e5fb4cb292a9a"><td class="mdescLeft"> </td><td class="mdescRight">Defines the error function of a distance-based localization system. <a href="dist__based__fi_8h.html#a67e1cf0904bc0be1258e5fb4cb292a9a">More...</a><br /></td></tr>
+<tr class="separator:a67e1cf0904bc0be1258e5fb4cb292a9a"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a2a1d8806de5f7f5131be1fbd706c17fa"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="dist__based__fi_8h.html#a2a1d8806de5f7f5131be1fbd706c17fa">dist_based_f_i</a> (uint8_t ref_points_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_mat[ref_points_num][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> d_vec[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> f_vec[])</td></tr>
+<tr class="memdesc:a2a1d8806de5f7f5131be1fbd706c17fa"><td class="mdescLeft"> </td><td class="mdescRight">Defines the error function of a distance-based localization system. <a href="dist__based__fi_8h.html#a2a1d8806de5f7f5131be1fbd706c17fa">More...</a><br /></td></tr>
+<tr class="separator:a2a1d8806de5f7f5131be1fbd706c17fa"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Error function of distance-based localization systems. </p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="dist__based__fi_8h_source.html">dist_based_fi.h</a>.</p>
+</div><h2 class="groupheader">Function Documentation</h2>
+<a id="a2a1d8806de5f7f5131be1fbd706c17fa"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a2a1d8806de5f7f5131be1fbd706c17fa">◆ </a></span>dist_based_f_i()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void dist_based_f_i </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>ref_points_num</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>ref_point_mat</em>[ref_points_num][3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>point</em>[3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>d_vec</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>f_vec</em>[] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Defines the error function of a distance-based localization system. </p>
+<p>This error function is related to multiple reference stations.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">ref_points_num</td><td>Number of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">ref_point_mat[][]</td><td>three-dimensional coordinates of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">point[]</td><td>three-dimensional coordinates of the mobile device. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">d_vec[]</td><td>distances to the reference stations. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">f_vec[]</td><td>errors related to reference stations and destined position. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="dist__based__fi_8c_source.html#l00047">47</a> of file <a class="el" href="dist__based__fi_8c_source.html">dist_based_fi.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="multipath__algo__own__norm__distr__test_8c_source.html#l00038">multipath_algo_own_norm_distr_test()</a>, and <a class="el" href="position__optimization__test_8c_source.html#l00037">position_optimization_test()</a>.</p>
+
+</div>
+</div>
+<a id="a67e1cf0904bc0be1258e5fb4cb292a9a"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a67e1cf0904bc0be1258e5fb4cb292a9a">◆ </a></span>dist_based_fi()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> dist_based_fi </td>
+ <td>(</td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>point</em>[3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>ref_point</em>[3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>ri</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Defines the error function of a distance-based localization system. </p>
+<p>This error function is related to one reference station.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">point[]</td><td>three-dimensional coordinates of the mobile device. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">ref_point[]</td><td>three-dimensional coordinates of a reference station. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">ri</td><td>distance to a reference station.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the error related to a reference station and destined position. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="dist__based__fi_8c_source.html#l00026">26</a> of file <a class="el" href="dist__based__fi_8c_source.html">dist_based_fi.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="dist__based__jacobian_8c_source.html#l00028">dist_based_jacobian_get_JTf()</a>, and <a class="el" href="dist__based__jacobian_8c_source.html#l00056">dist_based_jacobian_get_JTJ()</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="navelem"><a class="el" href="dir_ca7b3fe3a5c68321cdadecc73cd5d1a0.html">localization</a></li><li class="navelem"><a class="el" href="dir_fdc176930829c278cabf5fddd85dbef8.html">position_algos</a></li><li class="navelem"><a class="el" href="dir_143dcbc7e3ad8f423ba36defd23abfa7.html">distance_based</a></li><li class="navelem"><a class="el" href="dir_6ba7a16e4c50d34812a44006ed482e9d.html">include</a></li><li class="navelem"><a class="el" href="dist__based__fi_8h.html">dist_based_fi.h</a></li>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
+ </ul>
+</div>
+</body>
+</html>
diff --git a/doc/doxygen/html/dist__based__fi_8h.js b/doc/doxygen/html/dist__based__fi_8h.js
new file mode 100644
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+++ b/doc/doxygen/html/dist__based__fi_8h.js
@@ -0,0 +1,5 @@
+var dist__based__fi_8h =
+[
+ [ "dist_based_f_i", "dist__based__fi_8h.html#a2a1d8806de5f7f5131be1fbd706c17fa", null ],
+ [ "dist_based_fi", "dist__based__fi_8h.html#a67e1cf0904bc0be1258e5fb4cb292a9a", null ]
+];
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new file mode 100644
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@@ -0,0 +1,131 @@
+<!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 1.8.16"/>
+<meta name="viewport" content="width=device-width, initial-scale=1"/>
+<title>RcdMathLib_doc: dist_based_fi.h Source File</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
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+<script type="text/javascript" src="navtreedata.js"></script>
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+<script type="text/javascript">
+/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&dn=gpl-2.0.txt GPL-v2 */
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+<link href="search/search.css" rel="stylesheet" type="text/css"/>
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+<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">RcdMathLib_doc
+ </div>
+ <div id="projectbrief">Open Source Library for Linear and Non-linear Algebra</div>
+ </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.16 -->
+<script type="text/javascript">
+/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&dn=gpl-2.0.txt GPL-v2 */
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+/* @license-end */
+</script>
+<script type="text/javascript" src="menudata.js"></script>
+<script type="text/javascript" src="menu.js"></script>
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+/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&dn=gpl-2.0.txt GPL-v2 */
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+ class="ui-resizable-handle">
+ </div>
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+<script type="text/javascript">
+/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&dn=gpl-2.0.txt GPL-v2 */
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+/* @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="headertitle">
+<div class="title">dist_based_fi.h</div> </div>
+</div><!--header-->
+<div class="contents">
+<a href="dist__based__fi_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="preprocessor">#ifndef DIST_BASED_FI_H_</span></div>
+<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="preprocessor">#define DIST_BASED_FI_H_</span></div>
+<div class="line"><a name="l00025"></a><span class="lineno"> 25</span>  </div>
+<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="preprocessor">#include "<a class="code" href="matrix_8h.html">matrix.h</a>"</span></div>
+<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>  </div>
+<div class="line"><a name="l00039"></a><span class="lineno"> 39</span> <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> <a class="code" href="dist__based__fi_8h.html#a67e1cf0904bc0be1258e5fb4cb292a9a">dist_based_fi</a>(<a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point[3], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ri);</div>
+<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>  </div>
+<div class="line"><a name="l00052"></a><span class="lineno"> 52</span> <span class="keywordtype">void</span> <a class="code" href="dist__based__fi_8h.html#a2a1d8806de5f7f5131be1fbd706c17fa">dist_based_f_i</a>(uint8_t ref_points_num,</div>
+<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_mat[ref_points_num][3],</div>
+<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3],</div>
+<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> d_vec[], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> f_vec[]);</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="preprocessor">#endif </span><span class="comment">/* DIST_BASED_FI_H_ */</span><span class="preprocessor"></span></div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="adist__based__fi_8h_html_a2a1d8806de5f7f5131be1fbd706c17fa"><div class="ttname"><a href="dist__based__fi_8h.html#a2a1d8806de5f7f5131be1fbd706c17fa">dist_based_f_i</a></div><div class="ttdeci">void dist_based_f_i(uint8_t ref_points_num, matrix_t ref_point_mat[ref_points_num][3], matrix_t point[3], matrix_t d_vec[], matrix_t f_vec[])</div><div class="ttdoc">Defines the error function of a distance-based localization system.</div><div class="ttdef"><b>Definition:</b> <a href="dist__based__fi_8c_source.html#l00047">dist_based_fi.c:47</a></div></div>
+<div class="ttc" id="amatrix_8h_html"><div class="ttname"><a href="matrix_8h.html">matrix.h</a></div><div class="ttdoc">Matrix computations.</div></div>
+<div class="ttc" id="amatrix_8h_html_af38ac6b76d645fea9abd6caeb4d9dd31"><div class="ttname"><a href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a></div><div class="ttdeci">#define matrix_t</div><div class="ttdoc">Define the data type of the matrix elements.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8h_source.html#l00038">matrix.h:38</a></div></div>
+<div class="ttc" id="adist__based__fi_8h_html_a67e1cf0904bc0be1258e5fb4cb292a9a"><div class="ttname"><a href="dist__based__fi_8h.html#a67e1cf0904bc0be1258e5fb4cb292a9a">dist_based_fi</a></div><div class="ttdeci">matrix_t dist_based_fi(matrix_t point[3], matrix_t ref_point[3], matrix_t ri)</div><div class="ttdoc">Defines the error function of a distance-based localization system.</div><div class="ttdef"><b>Definition:</b> <a href="dist__based__fi_8c_source.html#l00026">dist_based_fi.c:26</a></div></div>
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+<a href="#func-members">Functions</a> </div>
+ <div class="headertitle">
+<div class="title">dist_based_jacobian.c File Reference</div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Jacobian function of distance-based localization systems.
+<a href="#details">More...</a></p>
+<div class="textblock"><code>#include <math.h></code><br />
+<code>#include "<a class="el" href="matrix_8h_source.html">matrix.h</a>"</code><br />
+<code>#include "<a class="el" href="vector_8h_source.html">vector.h</a>"</code><br />
+<code>#include "<a class="el" href="dist__based__fi_8h_source.html">dist_based_fi.h</a>"</code><br />
+</div>
+<p><a href="dist__based__jacobian_8c_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a769d35615d26a67b97bfd40b5d26a95c"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="dist__based__jacobian_8c.html#a769d35615d26a67b97bfd40b5d26a95c">dist_based_jacobian_get_JTf</a> (uint8_t ref_points_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_matrix[ref_points_num][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> dist_vec[ref_points_num], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> JTf[3])</td></tr>
+<tr class="memdesc:a769d35615d26a67b97bfd40b5d26a95c"><td class="mdescLeft"> </td><td class="mdescRight">Defines <img class="formulaInl" alt="$ J_f^{T} \vec{f} $" src="form_38.png"/> of distance-based localization system. <a href="dist__based__jacobian_8c.html#a769d35615d26a67b97bfd40b5d26a95c">More...</a><br /></td></tr>
+<tr class="separator:a769d35615d26a67b97bfd40b5d26a95c"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a59b1a3323c2896ff28f71135af0204a2"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="dist__based__jacobian_8c.html#a59b1a3323c2896ff28f71135af0204a2">dist_based_jacobian_get_JTJ</a> (uint8_t ref_points_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_matrix[ref_points_num][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> dist_vec[ref_points_num], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> JTJ[3][3])</td></tr>
+<tr class="memdesc:a59b1a3323c2896ff28f71135af0204a2"><td class="mdescLeft"> </td><td class="mdescRight">Defines <img class="formulaInl" alt="$ J_f^{T} J_{f} $" src="form_40.png"/> of distance-based localization system. <a href="dist__based__jacobian_8c.html#a59b1a3323c2896ff28f71135af0204a2">More...</a><br /></td></tr>
+<tr class="separator:a59b1a3323c2896ff28f71135af0204a2"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a8f900ff7d66d260d3b2e3e0ef2757ccc"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="dist__based__jacobian_8c.html#a8f900ff7d66d260d3b2e3e0ef2757ccc">dist_based_jacobian_get_J</a> (uint8_t ref_points_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_matrix[ref_points_num][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J[ref_points_num][3])</td></tr>
+<tr class="memdesc:a8f900ff7d66d260d3b2e3e0ef2757ccc"><td class="mdescLeft"> </td><td class="mdescRight">Computes the Jacobian matrix of distance-based localization system. <a href="dist__based__jacobian_8c.html#a8f900ff7d66d260d3b2e3e0ef2757ccc">More...</a><br /></td></tr>
+<tr class="separator:a8f900ff7d66d260d3b2e3e0ef2757ccc"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a04231d3d216ce6814eb3e183f7a2e408"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="dist__based__jacobian_8c.html#a04231d3d216ce6814eb3e183f7a2e408">dist_based_jacobian_get_J_mul_s</a> (uint8_t ref_points_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_matrix[ref_points_num][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> s[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J_s[ref_points_num])</td></tr>
+<tr class="memdesc:a04231d3d216ce6814eb3e183f7a2e408"><td class="mdescLeft"> </td><td class="mdescRight">Computes <img class="formulaInl" alt="$ J_f^{T} \vec{s} $" src="form_41.png"/> of distance-based localization system. <a href="dist__based__jacobian_8c.html#a04231d3d216ce6814eb3e183f7a2e408">More...</a><br /></td></tr>
+<tr class="separator:a04231d3d216ce6814eb3e183f7a2e408"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Jacobian function of distance-based localization systems. </p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="dist__based__jacobian_8c_source.html">dist_based_jacobian.c</a>.</p>
+</div><h2 class="groupheader">Function Documentation</h2>
+<a id="a8f900ff7d66d260d3b2e3e0ef2757ccc"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a8f900ff7d66d260d3b2e3e0ef2757ccc">◆ </a></span>dist_based_jacobian_get_J()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void dist_based_jacobian_get_J </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>ref_points_num</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>point</em>[3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>ref_point_matrix</em>[ref_points_num][3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>J</em>[ref_points_num][3] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Computes the Jacobian matrix of distance-based localization system. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">ref_points_num</td><td>number of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">point[]</td><td>three-dimensional coordinates of the mobile device. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">ref_point_matrix[][]</td><td>three-dimensional coordinates of the reference stations. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">J[][]</td><td>includes the Jacobian Matrix. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="dist__based__jacobian_8c_source.html#l00100">100</a> of file <a class="el" href="dist__based__jacobian_8c_source.html">dist_based_jacobian.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>.</p>
+
+</div>
+</div>
+<a id="a04231d3d216ce6814eb3e183f7a2e408"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a04231d3d216ce6814eb3e183f7a2e408">◆ </a></span>dist_based_jacobian_get_J_mul_s()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void dist_based_jacobian_get_J_mul_s </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>ref_points_num</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>ref_point_matrix</em>[ref_points_num][3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>point</em>[3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>s</em>[3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>J_s</em>[ref_points_num] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Computes <img class="formulaInl" alt="$ J_f^{T} \vec{s} $" src="form_41.png"/> of distance-based localization system. </p>
+<p>Where <img class="formulaInl" alt="$ J_f $" src="form_39.png"/> is the Jacobian matrix. This function is a part of derivatives to minimize the sum of square errors.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">ref_points_num</td><td>number of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">ref_point_matrix[][]</td><td>three-dimensional coordinates of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">point[]</td><td>three-dimensional coordinates of the mobile device. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">s[]</td><td>correction vector. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">J_s[]</td><td>includes the <img class="formulaInl" alt="$ J_f^{T} \vec{s} $" src="form_41.png"/> vector. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="dist__based__jacobian_8c_source.html#l00132">132</a> of file <a class="el" href="dist__based__jacobian_8c_source.html">dist_based_jacobian.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="multipath__algo__own__norm__distr__test_8c_source.html#l00038">multipath_algo_own_norm_distr_test()</a>, and <a class="el" href="position__optimization__test_8c_source.html#l00037">position_optimization_test()</a>.</p>
+
+</div>
+</div>
+<a id="a769d35615d26a67b97bfd40b5d26a95c"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a769d35615d26a67b97bfd40b5d26a95c">◆ </a></span>dist_based_jacobian_get_JTf()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void dist_based_jacobian_get_JTf </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>ref_points_num</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>ref_point_matrix</em>[ref_points_num][3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>point</em>[3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>dist_vec</em>[ref_points_num], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>JTf</em>[3] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Defines <img class="formulaInl" alt="$ J_f^{T} \vec{f} $" src="form_38.png"/> of distance-based localization system. </p>
+<p>Where <img class="formulaInl" alt="$ J_f $" src="form_39.png"/> is the Jacobian matrix. This function is a part of derivatives to minimize the sum of square errors.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">ref_points_num</td><td>number of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">ref_point_matrix[][]</td><td>three-dimensional coordinates of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">point[]</td><td>three-dimensional coordinates of the mobile device. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">dist_vec[]</td><td>distances to the reference stations. </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">JTf[]</td><td>includes the <img class="formulaInl" alt="$ J_f^{T} \vec{f} $" src="form_38.png"/> vector. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="dist__based__jacobian_8c_source.html#l00028">28</a> of file <a class="el" href="dist__based__jacobian_8c_source.html">dist_based_jacobian.c</a>.</p>
+
+<p class="reference">References <a class="el" href="dist__based__fi_8c_source.html#l00026">dist_based_fi()</a>, <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>, and <a class="el" href="vector_8c_source.html#l00032">vector_clear()</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="multipath__algo__own__norm__distr__test_8c_source.html#l00038">multipath_algo_own_norm_distr_test()</a>, and <a class="el" href="position__optimization__test_8c_source.html#l00037">position_optimization_test()</a>.</p>
+
+</div>
+</div>
+<a id="a59b1a3323c2896ff28f71135af0204a2"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a59b1a3323c2896ff28f71135af0204a2">◆ </a></span>dist_based_jacobian_get_JTJ()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void dist_based_jacobian_get_JTJ </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>ref_points_num</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>ref_point_matrix</em>[ref_points_num][3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>point</em>[3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>dist_vec</em>[ref_points_num], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>JTJ</em>[3][3] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Defines <img class="formulaInl" alt="$ J_f^{T} J_{f} $" src="form_40.png"/> of distance-based localization system. </p>
+<p>Where <img class="formulaInl" alt="$ J_f $" src="form_39.png"/> is the Jacobian matrix. This function is a part of derivatives to minimize the sum of square errors.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">ref_points_num</td><td>number of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">ref_point_matrix[][]</td><td>three-dimensional coordinates of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">point[]</td><td>three-dimensional coordinates of the mobile device. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">dist_vec[][]</td><td>distances to the reference stations. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">JTJ[][]</td><td>includes the <img class="formulaInl" alt="$ J_f^{T} J_{f} $" src="form_40.png"/> matrix. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="dist__based__jacobian_8c_source.html#l00056">56</a> of file <a class="el" href="dist__based__jacobian_8c_source.html">dist_based_jacobian.c</a>.</p>
+
+<p class="reference">References <a class="el" href="dist__based__fi_8c_source.html#l00026">dist_based_fi()</a>, <a class="el" href="matrix_8c_source.html#l00046">matrix_clear()</a>, and <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="multipath__algo__own__norm__distr__test_8c_source.html#l00038">multipath_algo_own_norm_distr_test()</a>, and <a class="el" href="position__optimization__test_8c_source.html#l00037">position_optimization_test()</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="navelem"><a class="el" href="dir_ca7b3fe3a5c68321cdadecc73cd5d1a0.html">localization</a></li><li class="navelem"><a class="el" href="dir_fdc176930829c278cabf5fddd85dbef8.html">position_algos</a></li><li class="navelem"><a class="el" href="dir_143dcbc7e3ad8f423ba36defd23abfa7.html">distance_based</a></li><li class="navelem"><a class="el" href="dist__based__jacobian_8c.html">dist_based_jacobian.c</a></li>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
+ </ul>
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+</html>
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+var dist__based__jacobian_8c =
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+ [ "dist_based_jacobian_get_J", "dist__based__jacobian_8c.html#a8f900ff7d66d260d3b2e3e0ef2757ccc", null ],
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+ [ "dist_based_jacobian_get_JTf", "dist__based__jacobian_8c.html#a769d35615d26a67b97bfd40b5d26a95c", null ],
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+<div class="title">dist_based_jacobian.c</div> </div>
+</div><!--header-->
+<div class="contents">
+<a href="dist__based__jacobian_8c.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00022"></a><span class="lineno"> 22</span> <span class="preprocessor">#include <math.h></span></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="preprocessor">#include "<a class="code" href="matrix_8h.html">matrix.h</a>"</span></div>
+<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#include "<a class="code" href="vector_8h.html">vector.h</a>"</span></div>
+<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="preprocessor">#include "<a class="code" href="dist__based__fi_8h.html">dist_based_fi.h</a>"</span></div>
+<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>  </div>
+<div class="line"><a name="l00028"></a><span class="lineno"><a class="line" href="dist__based__jacobian_8h.html#a769d35615d26a67b97bfd40b5d26a95c"> 28</a></span> <span class="keywordtype">void</span> <a class="code" href="dist__based__jacobian_8c.html#a769d35615d26a67b97bfd40b5d26a95c">dist_based_jacobian_get_JTf</a>(uint8_t ref_points_num,</div>
+<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_matrix[ref_points_num][3],</div>
+<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3],</div>
+<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> dist_vec[ref_points_num],</div>
+<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> JTf[3])</div>
+<div class="line"><a name="l00033"></a><span class="lineno"> 33</span> {</div>
+<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  uint8_t i;</div>
+<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> f_i = 0.0;</div>
+<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> denom = 0.0;</div>
+<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  </div>
+<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  <a class="code" href="vector_8h.html#a758d38ad9623aa8c385bce765a3b7d17">vector_clear</a>(3, JTf);</div>
+<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>  <span class="keywordflow">for</span> (i = 0; i < ref_points_num; i++) {</div>
+<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>  f_i =</div>
+<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  <a class="code" href="dist__based__fi_8c.html#a67e1cf0904bc0be1258e5fb4cb292a9a">dist_based_fi</a>(point,</div>
+<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  (<a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> *)&ref_point_matrix[i],</div>
+<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  dist_vec[i]);</div>
+<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  denom = f_i + dist_vec[i];</div>
+<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  <span class="keywordflow">if</span> (denom != 0) {</div>
+<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  JTf[0] += (point[0] - ref_point_matrix[i][0]) * f_i</div>
+<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  / denom;</div>
+<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  JTf[1] += (point[1] - ref_point_matrix[i][1]) * f_i</div>
+<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  / denom;</div>
+<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  JTf[2] += (point[2] - ref_point_matrix[i][2]) * f_i</div>
+<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  / denom;</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>  }</div>
+<div class="line"><a name="l00054"></a><span class="lineno"> 54</span> }</div>
+<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  </div>
+<div class="line"><a name="l00056"></a><span class="lineno"><a class="line" href="dist__based__jacobian_8h.html#a59b1a3323c2896ff28f71135af0204a2"> 56</a></span> <span class="keywordtype">void</span> <a class="code" href="dist__based__jacobian_8c.html#a59b1a3323c2896ff28f71135af0204a2">dist_based_jacobian_get_JTJ</a>(uint8_t ref_points_num,</div>
+<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_matrix[ref_points_num][3],</div>
+<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3],</div>
+<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> dist_vec[ref_points_num],</div>
+<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> JTJ[3][3])</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>  uint8_t i;</div>
+<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> denom = 0.0;</div>
+<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> f_i = 0.0;</div>
+<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  </div>
+<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  <a class="code" href="matrix_8h.html#a0e06b2cfb86340e88be7b1219bef0ce3">matrix_clear</a>(3, 3, JTJ);</div>
+<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  <span class="keywordflow">for</span> (i = 0; i < ref_points_num; i++) {</div>
+<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  f_i =</div>
+<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  <a class="code" href="dist__based__fi_8c.html#a67e1cf0904bc0be1258e5fb4cb292a9a">dist_based_fi</a>(point,</div>
+<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  (<a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> *)&ref_point_matrix[i],</div>
+<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  dist_vec[i]) + dist_vec[i];</div>
+<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  denom = f_i * f_i;</div>
+<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  <span class="keywordflow">if</span> (denom != 0) {</div>
+<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  JTJ[0][0] += (point[0] - ref_point_matrix[i][0]) *</div>
+<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  (point[0] - ref_point_matrix[i][0])</div>
+<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  / denom;</div>
+<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  JTJ[1][1] += (point[1] - ref_point_matrix[i][1]) *</div>
+<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  (point[1] - ref_point_matrix[i][1])</div>
+<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  / denom;</div>
+<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  JTJ[2][2] += (point[2] - ref_point_matrix[i][2]) *</div>
+<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  (point[2] - ref_point_matrix[i][2])</div>
+<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  / denom;</div>
+<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  JTJ[0][1] += (point[0] - ref_point_matrix[i][0]) *</div>
+<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  (point[1] - ref_point_matrix[i][1])</div>
+<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  / denom;</div>
+<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  JTJ[0][2] += (point[0] - ref_point_matrix[i][0]) *</div>
+<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  (point[2] - ref_point_matrix[i][2])</div>
+<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  / denom;</div>
+<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  JTJ[1][2] += (point[1] - ref_point_matrix[i][1]) *</div>
+<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  (point[2] - ref_point_matrix[i][2])</div>
+<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  / denom;</div>
+<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  }</div>
+<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  }</div>
+<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  </div>
+<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  JTJ[1][0] = JTJ[0][1];</div>
+<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  JTJ[2][0] = JTJ[0][2];</div>
+<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  JTJ[2][1] = JTJ[1][2];</div>
+<div class="line"><a name="l00098"></a><span class="lineno"> 98</span> }</div>
+<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  </div>
+<div class="line"><a name="l00100"></a><span class="lineno"><a class="line" href="dist__based__jacobian_8h.html#a8f900ff7d66d260d3b2e3e0ef2757ccc"> 100</a></span> <span class="keywordtype">void</span> <a class="code" href="dist__based__jacobian_8c.html#a8f900ff7d66d260d3b2e3e0ef2757ccc">dist_based_jacobian_get_J</a>(uint8_t ref_points_num, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3],</div>
+<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_matrix[ref_points_num][3],</div>
+<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J[ref_points_num][3])</div>
+<div class="line"><a name="l00103"></a><span class="lineno"> 103</span> {</div>
+<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  uint8_t i;</div>
+<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> denom;</div>
+<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  </div>
+<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  <span class="keywordflow">for</span> (i = 0; i < ref_points_num; i++) {</div>
+<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  denom =</div>
+<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  sqrt(</div>
+<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  pow(</div>
+<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  point[0]</div>
+<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  - ref_point_matrix[i][0],</div>
+<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  2)</div>
+<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  +</div>
+<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  pow(</div>
+<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  point[1]</div>
+<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  - ref_point_matrix[i][1],</div>
+<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  2)</div>
+<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  + pow(</div>
+<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  point[2]</div>
+<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  - ref_point_matrix[i][2],</div>
+<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  2));</div>
+<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  <span class="keywordflow">if</span> (denom != 0) {</div>
+<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  J[i][0] = (point[0] - ref_point_matrix[i][0]) / denom;</div>
+<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  J[i][1] = (point[1] - ref_point_matrix[i][1]) / denom;</div>
+<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  J[i][2] = (point[2] - ref_point_matrix[i][2]) / denom;</div>
+<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  }</div>
+<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  }</div>
+<div class="line"><a name="l00129"></a><span class="lineno"> 129</span> }</div>
+<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  </div>
+<div class="line"><a name="l00131"></a><span class="lineno"> 131</span> <span class="comment">//compute: J(x)*s</span></div>
+<div class="line"><a name="l00132"></a><span class="lineno"><a class="line" href="dist__based__jacobian_8h.html#a04231d3d216ce6814eb3e183f7a2e408"> 132</a></span> <span class="keywordtype">void</span> <a class="code" href="dist__based__jacobian_8c.html#a04231d3d216ce6814eb3e183f7a2e408">dist_based_jacobian_get_J_mul_s</a>(uint8_t ref_points_num,</div>
+<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_matrix[ref_points_num][3],</div>
+<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> s[3],</div>
+<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J_s[ref_points_num])</div>
+<div class="line"><a name="l00136"></a><span class="lineno"> 136</span> {</div>
+<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  uint8_t i;</div>
+<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> denom;</div>
+<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> j_i_0 = 0;</div>
+<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> j_i_1 = 0;</div>
+<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> j_i_2 = 0;</div>
+<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  </div>
+<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  <span class="keywordflow">for</span> (i = 0; i < ref_points_num; i++) {</div>
+<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  denom =</div>
+<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  sqrt(</div>
+<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  pow(</div>
+<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>  point[0]</div>
+<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>  - ref_point_matrix[i][0],</div>
+<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  2)</div>
+<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>  +</div>
+<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>  pow(</div>
+<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>  point[1]</div>
+<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>  - ref_point_matrix[i][1],</div>
+<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>  2)</div>
+<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  + pow(</div>
+<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>  point[2]</div>
+<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  - ref_point_matrix[i][2],</div>
+<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  2));</div>
+<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  <span class="keywordflow">if</span> (denom != 0) {</div>
+<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  j_i_0 = (point[0] - ref_point_matrix[i][0]) / denom;</div>
+<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>  j_i_1 = (point[1] - ref_point_matrix[i][1]) / denom;</div>
+<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  j_i_2 = (point[2] - ref_point_matrix[i][2]) / denom;</div>
+<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>  }</div>
+<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>  J_s[i] = j_i_0 * s[0] + j_i_1 * s[1] + j_i_2 * s[2];</div>
+<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>  }</div>
+<div class="line"><a name="l00166"></a><span class="lineno"> 166</span> }</div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="amatrix_8h_html_a0e06b2cfb86340e88be7b1219bef0ce3"><div class="ttname"><a href="matrix_8h.html#a0e06b2cfb86340e88be7b1219bef0ce3">matrix_clear</a></div><div class="ttdeci">void matrix_clear(uint8_t m, uint8_t n, matrix_t matrix[m][n])</div><div class="ttdoc">Clear all the elements of the vector.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00046">matrix.c:46</a></div></div>
+<div class="ttc" id="avector_8h_html_acb41430bc5720dda7d1c45d91a0b0221"><div class="ttname"><a href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a></div><div class="ttdeci">#define vector_t</div><div class="ttdoc">Define the data type of the vector elements.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8h_source.html#l00033">vector.h:33</a></div></div>
+<div class="ttc" id="adist__based__jacobian_8c_html_a04231d3d216ce6814eb3e183f7a2e408"><div class="ttname"><a href="dist__based__jacobian_8c.html#a04231d3d216ce6814eb3e183f7a2e408">dist_based_jacobian_get_J_mul_s</a></div><div class="ttdeci">void dist_based_jacobian_get_J_mul_s(uint8_t ref_points_num, matrix_t ref_point_matrix[ref_points_num][3], matrix_t point[3], matrix_t s[3], matrix_t J_s[ref_points_num])</div><div class="ttdoc">Computes of distance-based localization system.</div><div class="ttdef"><b>Definition:</b> <a href="dist__based__jacobian_8c_source.html#l00132">dist_based_jacobian.c:132</a></div></div>
+<div class="ttc" id="amatrix_8h_html"><div class="ttname"><a href="matrix_8h.html">matrix.h</a></div><div class="ttdoc">Matrix computations.</div></div>
+<div class="ttc" id="adist__based__jacobian_8c_html_a59b1a3323c2896ff28f71135af0204a2"><div class="ttname"><a href="dist__based__jacobian_8c.html#a59b1a3323c2896ff28f71135af0204a2">dist_based_jacobian_get_JTJ</a></div><div class="ttdeci">void dist_based_jacobian_get_JTJ(uint8_t ref_points_num, matrix_t ref_point_matrix[ref_points_num][3], matrix_t point[3], matrix_t dist_vec[ref_points_num], matrix_t JTJ[3][3])</div><div class="ttdoc">Defines of distance-based localization system.</div><div class="ttdef"><b>Definition:</b> <a href="dist__based__jacobian_8c_source.html#l00056">dist_based_jacobian.c:56</a></div></div>
+<div class="ttc" id="avector_8h_html_a758d38ad9623aa8c385bce765a3b7d17"><div class="ttname"><a href="vector_8h.html#a758d38ad9623aa8c385bce765a3b7d17">vector_clear</a></div><div class="ttdeci">void vector_clear(uint8_t size, vector_t arr[])</div><div class="ttdoc">Clear all the elements of the vector.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00032">vector.c:32</a></div></div>
+<div class="ttc" id="adist__based__jacobian_8c_html_a8f900ff7d66d260d3b2e3e0ef2757ccc"><div class="ttname"><a href="dist__based__jacobian_8c.html#a8f900ff7d66d260d3b2e3e0ef2757ccc">dist_based_jacobian_get_J</a></div><div class="ttdeci">void dist_based_jacobian_get_J(uint8_t ref_points_num, matrix_t point[3], matrix_t ref_point_matrix[ref_points_num][3], matrix_t J[ref_points_num][3])</div><div class="ttdoc">Computes the Jacobian matrix of distance-based localization system.</div><div class="ttdef"><b>Definition:</b> <a href="dist__based__jacobian_8c_source.html#l00100">dist_based_jacobian.c:100</a></div></div>
+<div class="ttc" id="adist__based__fi_8h_html"><div class="ttname"><a href="dist__based__fi_8h.html">dist_based_fi.h</a></div><div class="ttdoc">Error function of distance-based localization systems.</div></div>
+<div class="ttc" id="amatrix_8h_html_af38ac6b76d645fea9abd6caeb4d9dd31"><div class="ttname"><a href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a></div><div class="ttdeci">#define matrix_t</div><div class="ttdoc">Define the data type of the matrix elements.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8h_source.html#l00038">matrix.h:38</a></div></div>
+<div class="ttc" id="avector_8h_html"><div class="ttname"><a href="vector_8h.html">vector.h</a></div><div class="ttdoc">Vector computations.</div></div>
+<div class="ttc" id="adist__based__fi_8c_html_a67e1cf0904bc0be1258e5fb4cb292a9a"><div class="ttname"><a href="dist__based__fi_8c.html#a67e1cf0904bc0be1258e5fb4cb292a9a">dist_based_fi</a></div><div class="ttdeci">matrix_t dist_based_fi(matrix_t point[3], matrix_t ref_point[3], matrix_t ri)</div><div class="ttdoc">Defines the error function of a distance-based localization system.</div><div class="ttdef"><b>Definition:</b> <a href="dist__based__fi_8c_source.html#l00026">dist_based_fi.c:26</a></div></div>
+<div class="ttc" id="adist__based__jacobian_8c_html_a769d35615d26a67b97bfd40b5d26a95c"><div class="ttname"><a href="dist__based__jacobian_8c.html#a769d35615d26a67b97bfd40b5d26a95c">dist_based_jacobian_get_JTf</a></div><div class="ttdeci">void dist_based_jacobian_get_JTf(uint8_t ref_points_num, matrix_t ref_point_matrix[ref_points_num][3], matrix_t point[3], matrix_t dist_vec[ref_points_num], vector_t JTf[3])</div><div class="ttdoc">Defines of distance-based localization system.</div><div class="ttdef"><b>Definition:</b> <a href="dist__based__jacobian_8c_source.html#l00028">dist_based_jacobian.c:28</a></div></div>
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+ <li class="navelem"><a class="el" href="dir_ca7b3fe3a5c68321cdadecc73cd5d1a0.html">localization</a></li><li class="navelem"><a class="el" href="dir_fdc176930829c278cabf5fddd85dbef8.html">position_algos</a></li><li class="navelem"><a class="el" href="dir_143dcbc7e3ad8f423ba36defd23abfa7.html">distance_based</a></li><li class="navelem"><a class="el" href="dist__based__jacobian_8c.html">dist_based_jacobian.c</a></li>
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+
+<div class="header">
+ <div class="summary">
+<a href="#func-members">Functions</a> </div>
+ <div class="headertitle">
+<div class="title">dist_based_jacobian.h File Reference<div class="ingroups"><a class="el" href="group__localization.html">LOCALIZATION</a> » <a class="el" href="group__position__algos.html">POSITION_ALGOS</a> » <a class="el" href="group__distance__based.html">DISTANCE_BASED</a></div></div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Jacobian function of distance-based localization systems.
+<a href="#details">More...</a></p>
+<div class="textblock"><code>#include "<a class="el" href="matrix_8h_source.html">matrix.h</a>"</code><br />
+<code>#include "<a class="el" href="vector_8h_source.html">vector.h</a>"</code><br />
+</div>
+<p><a href="dist__based__jacobian_8h_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a769d35615d26a67b97bfd40b5d26a95c"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="dist__based__jacobian_8h.html#a769d35615d26a67b97bfd40b5d26a95c">dist_based_jacobian_get_JTf</a> (uint8_t ref_points_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_matrix[ref_points_num][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> dist_vec[ref_points_num], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> JTf[3])</td></tr>
+<tr class="memdesc:a769d35615d26a67b97bfd40b5d26a95c"><td class="mdescLeft"> </td><td class="mdescRight">Defines <img class="formulaInl" alt="$ J_f^{T} \vec{f} $" src="form_38.png"/> of distance-based localization system. <a href="dist__based__jacobian_8h.html#a769d35615d26a67b97bfd40b5d26a95c">More...</a><br /></td></tr>
+<tr class="separator:a769d35615d26a67b97bfd40b5d26a95c"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a59b1a3323c2896ff28f71135af0204a2"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="dist__based__jacobian_8h.html#a59b1a3323c2896ff28f71135af0204a2">dist_based_jacobian_get_JTJ</a> (uint8_t ref_points_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_matrix[ref_points_num][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> dist_vec[ref_points_num], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> JTJ[3][3])</td></tr>
+<tr class="memdesc:a59b1a3323c2896ff28f71135af0204a2"><td class="mdescLeft"> </td><td class="mdescRight">Defines <img class="formulaInl" alt="$ J_f^{T} J_{f} $" src="form_40.png"/> of distance-based localization system. <a href="dist__based__jacobian_8h.html#a59b1a3323c2896ff28f71135af0204a2">More...</a><br /></td></tr>
+<tr class="separator:a59b1a3323c2896ff28f71135af0204a2"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a04231d3d216ce6814eb3e183f7a2e408"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="dist__based__jacobian_8h.html#a04231d3d216ce6814eb3e183f7a2e408">dist_based_jacobian_get_J_mul_s</a> (uint8_t ref_points_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_matrix[ref_points_num][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> s[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J_s[ref_points_num])</td></tr>
+<tr class="memdesc:a04231d3d216ce6814eb3e183f7a2e408"><td class="mdescLeft"> </td><td class="mdescRight">Computes <img class="formulaInl" alt="$ J_f^{T} \vec{s} $" src="form_41.png"/> of distance-based localization system. <a href="dist__based__jacobian_8h.html#a04231d3d216ce6814eb3e183f7a2e408">More...</a><br /></td></tr>
+<tr class="separator:a04231d3d216ce6814eb3e183f7a2e408"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a8f900ff7d66d260d3b2e3e0ef2757ccc"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="dist__based__jacobian_8h.html#a8f900ff7d66d260d3b2e3e0ef2757ccc">dist_based_jacobian_get_J</a> (uint8_t ref_points_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_matrix[ref_points_num][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J[ref_points_num][3])</td></tr>
+<tr class="memdesc:a8f900ff7d66d260d3b2e3e0ef2757ccc"><td class="mdescLeft"> </td><td class="mdescRight">Computes the Jacobian matrix of distance-based localization system. <a href="dist__based__jacobian_8h.html#a8f900ff7d66d260d3b2e3e0ef2757ccc">More...</a><br /></td></tr>
+<tr class="separator:a8f900ff7d66d260d3b2e3e0ef2757ccc"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Jacobian function of distance-based localization systems. </p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="dist__based__jacobian_8h_source.html">dist_based_jacobian.h</a>.</p>
+</div><h2 class="groupheader">Function Documentation</h2>
+<a id="a8f900ff7d66d260d3b2e3e0ef2757ccc"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a8f900ff7d66d260d3b2e3e0ef2757ccc">◆ </a></span>dist_based_jacobian_get_J()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void dist_based_jacobian_get_J </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>ref_points_num</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>point</em>[3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>ref_point_matrix</em>[ref_points_num][3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>J</em>[ref_points_num][3] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Computes the Jacobian matrix of distance-based localization system. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">ref_points_num</td><td>number of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">point[]</td><td>three-dimensional coordinates of the mobile device. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">ref_point_matrix[][]</td><td>three-dimensional coordinates of the reference stations. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">J[][]</td><td>includes the Jacobian Matrix. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="dist__based__jacobian_8c_source.html#l00100">100</a> of file <a class="el" href="dist__based__jacobian_8c_source.html">dist_based_jacobian.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>.</p>
+
+</div>
+</div>
+<a id="a04231d3d216ce6814eb3e183f7a2e408"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a04231d3d216ce6814eb3e183f7a2e408">◆ </a></span>dist_based_jacobian_get_J_mul_s()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void dist_based_jacobian_get_J_mul_s </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>ref_points_num</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>ref_point_matrix</em>[ref_points_num][3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>point</em>[3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>s</em>[3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>J_s</em>[ref_points_num] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Computes <img class="formulaInl" alt="$ J_f^{T} \vec{s} $" src="form_41.png"/> of distance-based localization system. </p>
+<p>Where <img class="formulaInl" alt="$ J_f $" src="form_39.png"/> is the Jacobian matrix. This function is a part of derivatives to minimize the sum of square errors.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">ref_points_num</td><td>number of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">ref_point_matrix[][]</td><td>three-dimensional coordinates of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">point[]</td><td>three-dimensional coordinates of the mobile device. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">s[]</td><td>correction vector. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">J_s[]</td><td>includes the <img class="formulaInl" alt="$ J_f^{T} \vec{s} $" src="form_41.png"/> vector. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="dist__based__jacobian_8c_source.html#l00132">132</a> of file <a class="el" href="dist__based__jacobian_8c_source.html">dist_based_jacobian.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="multipath__algo__own__norm__distr__test_8c_source.html#l00038">multipath_algo_own_norm_distr_test()</a>, and <a class="el" href="position__optimization__test_8c_source.html#l00037">position_optimization_test()</a>.</p>
+
+</div>
+</div>
+<a id="a769d35615d26a67b97bfd40b5d26a95c"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a769d35615d26a67b97bfd40b5d26a95c">◆ </a></span>dist_based_jacobian_get_JTf()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void dist_based_jacobian_get_JTf </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>ref_points_num</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>ref_point_matrix</em>[ref_points_num][3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>point</em>[3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>dist_vec</em>[ref_points_num], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>JTf</em>[3] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Defines <img class="formulaInl" alt="$ J_f^{T} \vec{f} $" src="form_38.png"/> of distance-based localization system. </p>
+<p>Where <img class="formulaInl" alt="$ J_f $" src="form_39.png"/> is the Jacobian matrix. This function is a part of derivatives to minimize the sum of square errors.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">ref_points_num</td><td>number of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">ref_point_matrix[][]</td><td>three-dimensional coordinates of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">point[]</td><td>three-dimensional coordinates of the mobile device. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">dist_vec[]</td><td>distances to the reference stations. </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">JTf[]</td><td>includes the <img class="formulaInl" alt="$ J_f^{T} \vec{f} $" src="form_38.png"/> vector. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="dist__based__jacobian_8c_source.html#l00028">28</a> of file <a class="el" href="dist__based__jacobian_8c_source.html">dist_based_jacobian.c</a>.</p>
+
+<p class="reference">References <a class="el" href="dist__based__fi_8c_source.html#l00026">dist_based_fi()</a>, <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>, and <a class="el" href="vector_8c_source.html#l00032">vector_clear()</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="multipath__algo__own__norm__distr__test_8c_source.html#l00038">multipath_algo_own_norm_distr_test()</a>, and <a class="el" href="position__optimization__test_8c_source.html#l00037">position_optimization_test()</a>.</p>
+
+</div>
+</div>
+<a id="a59b1a3323c2896ff28f71135af0204a2"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a59b1a3323c2896ff28f71135af0204a2">◆ </a></span>dist_based_jacobian_get_JTJ()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void dist_based_jacobian_get_JTJ </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>ref_points_num</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>ref_point_matrix</em>[ref_points_num][3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>point</em>[3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>dist_vec</em>[ref_points_num], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>JTJ</em>[3][3] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Defines <img class="formulaInl" alt="$ J_f^{T} J_{f} $" src="form_40.png"/> of distance-based localization system. </p>
+<p>Where <img class="formulaInl" alt="$ J_f $" src="form_39.png"/> is the Jacobian matrix. This function is a part of derivatives to minimize the sum of square errors.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">ref_points_num</td><td>number of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">ref_point_matrix[][]</td><td>three-dimensional coordinates of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">point[]</td><td>three-dimensional coordinates of the mobile device. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">dist_vec[][]</td><td>distances to the reference stations. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">JTJ[][]</td><td>includes the <img class="formulaInl" alt="$ J_f^{T} J_{f} $" src="form_40.png"/> matrix. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="dist__based__jacobian_8c_source.html#l00056">56</a> of file <a class="el" href="dist__based__jacobian_8c_source.html">dist_based_jacobian.c</a>.</p>
+
+<p class="reference">References <a class="el" href="dist__based__fi_8c_source.html#l00026">dist_based_fi()</a>, <a class="el" href="matrix_8c_source.html#l00046">matrix_clear()</a>, and <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="multipath__algo__own__norm__distr__test_8c_source.html#l00038">multipath_algo_own_norm_distr_test()</a>, and <a class="el" href="position__optimization__test_8c_source.html#l00037">position_optimization_test()</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="navelem"><a class="el" href="dir_ca7b3fe3a5c68321cdadecc73cd5d1a0.html">localization</a></li><li class="navelem"><a class="el" href="dir_fdc176930829c278cabf5fddd85dbef8.html">position_algos</a></li><li class="navelem"><a class="el" href="dir_143dcbc7e3ad8f423ba36defd23abfa7.html">distance_based</a></li><li class="navelem"><a class="el" href="dir_6ba7a16e4c50d34812a44006ed482e9d.html">include</a></li><li class="navelem"><a class="el" href="dist__based__jacobian_8h.html">dist_based_jacobian.h</a></li>
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diff --git a/doc/doxygen/html/dist__based__jacobian_8h.js b/doc/doxygen/html/dist__based__jacobian_8h.js
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+var dist__based__jacobian_8h =
+[
+ [ "dist_based_jacobian_get_J", "dist__based__jacobian_8h.html#a8f900ff7d66d260d3b2e3e0ef2757ccc", null ],
+ [ "dist_based_jacobian_get_J_mul_s", "dist__based__jacobian_8h.html#a04231d3d216ce6814eb3e183f7a2e408", null ],
+ [ "dist_based_jacobian_get_JTf", "dist__based__jacobian_8h.html#a769d35615d26a67b97bfd40b5d26a95c", null ],
+ [ "dist_based_jacobian_get_JTJ", "dist__based__jacobian_8h.html#a59b1a3323c2896ff28f71135af0204a2", null ]
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+<div class="title">dist_based_jacobian.h</div> </div>
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+<div class="contents">
+<a href="dist__based__jacobian_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="preprocessor">#ifndef DIST_BASED_JACOBIAN_H_</span></div>
+<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="preprocessor">#define DIST_BASED_JACOBIAN_H_</span></div>
+<div class="line"><a name="l00025"></a><span class="lineno"> 25</span>  </div>
+<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="preprocessor">#include "<a class="code" href="matrix_8h.html">matrix.h</a>"</span></div>
+<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="preprocessor">#include "<a class="code" href="vector_8h.html">vector.h</a>"</span></div>
+<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>  </div>
+<div class="line"><a name="l00041"></a><span class="lineno"> 41</span> <span class="keywordtype">void</span> <a class="code" href="dist__based__jacobian_8h.html#a769d35615d26a67b97bfd40b5d26a95c">dist_based_jacobian_get_JTf</a>(uint8_t ref_points_num,</div>
+<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_matrix[ref_points_num][3],</div>
+<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3],</div>
+<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> dist_vec[ref_points_num],</div>
+<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> JTf[3]);</div>
+<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  </div>
+<div class="line"><a name="l00060"></a><span class="lineno"> 60</span> <span class="keywordtype">void</span> <a class="code" href="dist__based__jacobian_8h.html#a59b1a3323c2896ff28f71135af0204a2">dist_based_jacobian_get_JTJ</a>(uint8_t ref_points_num,</div>
+<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_matrix[ref_points_num][3],</div>
+<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3],</div>
+<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> dist_vec[ref_points_num],</div>
+<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> JTJ[3][3]);</div>
+<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  </div>
+<div class="line"><a name="l00078"></a><span class="lineno"> 78</span> <span class="keywordtype">void</span> <a class="code" href="dist__based__jacobian_8h.html#a04231d3d216ce6814eb3e183f7a2e408">dist_based_jacobian_get_J_mul_s</a>(uint8_t ref_points_num,</div>
+<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_matrix[ref_points_num][3], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3],</div>
+<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> s[3], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J_s[ref_points_num]);</div>
+<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  </div>
+<div class="line"><a name="l00092"></a><span class="lineno"> 92</span> <span class="keywordtype">void</span> <a class="code" href="dist__based__jacobian_8h.html#a8f900ff7d66d260d3b2e3e0ef2757ccc">dist_based_jacobian_get_J</a>(uint8_t ref_points_num, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3],</div>
+<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_matrix[ref_points_num][3],</div>
+<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J[ref_points_num][3]);</div>
+<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  </div>
+<div class="line"><a name="l00096"></a><span class="lineno"> 96</span> <span class="preprocessor">#endif </span><span class="comment">/* DIST_BASED_JACOBIAN_H_ */</span><span class="preprocessor"></span></div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="adist__based__jacobian_8h_html_a8f900ff7d66d260d3b2e3e0ef2757ccc"><div class="ttname"><a href="dist__based__jacobian_8h.html#a8f900ff7d66d260d3b2e3e0ef2757ccc">dist_based_jacobian_get_J</a></div><div class="ttdeci">void dist_based_jacobian_get_J(uint8_t ref_points_num, matrix_t point[3], matrix_t ref_point_matrix[ref_points_num][3], matrix_t J[ref_points_num][3])</div><div class="ttdoc">Computes the Jacobian matrix of distance-based localization system.</div><div class="ttdef"><b>Definition:</b> <a href="dist__based__jacobian_8c_source.html#l00100">dist_based_jacobian.c:100</a></div></div>
+<div class="ttc" id="avector_8h_html_acb41430bc5720dda7d1c45d91a0b0221"><div class="ttname"><a href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a></div><div class="ttdeci">#define vector_t</div><div class="ttdoc">Define the data type of the vector elements.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8h_source.html#l00033">vector.h:33</a></div></div>
+<div class="ttc" id="amatrix_8h_html"><div class="ttname"><a href="matrix_8h.html">matrix.h</a></div><div class="ttdoc">Matrix computations.</div></div>
+<div class="ttc" id="adist__based__jacobian_8h_html_a59b1a3323c2896ff28f71135af0204a2"><div class="ttname"><a href="dist__based__jacobian_8h.html#a59b1a3323c2896ff28f71135af0204a2">dist_based_jacobian_get_JTJ</a></div><div class="ttdeci">void dist_based_jacobian_get_JTJ(uint8_t ref_points_num, matrix_t ref_point_matrix[ref_points_num][3], matrix_t point[3], matrix_t dist_vec[ref_points_num], matrix_t JTJ[3][3])</div><div class="ttdoc">Defines of distance-based localization system.</div><div class="ttdef"><b>Definition:</b> <a href="dist__based__jacobian_8c_source.html#l00056">dist_based_jacobian.c:56</a></div></div>
+<div class="ttc" id="adist__based__jacobian_8h_html_a769d35615d26a67b97bfd40b5d26a95c"><div class="ttname"><a href="dist__based__jacobian_8h.html#a769d35615d26a67b97bfd40b5d26a95c">dist_based_jacobian_get_JTf</a></div><div class="ttdeci">void dist_based_jacobian_get_JTf(uint8_t ref_points_num, matrix_t ref_point_matrix[ref_points_num][3], matrix_t point[3], matrix_t dist_vec[ref_points_num], vector_t JTf[3])</div><div class="ttdoc">Defines of distance-based localization system.</div><div class="ttdef"><b>Definition:</b> <a href="dist__based__jacobian_8c_source.html#l00028">dist_based_jacobian.c:28</a></div></div>
+<div class="ttc" id="amatrix_8h_html_af38ac6b76d645fea9abd6caeb4d9dd31"><div class="ttname"><a href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a></div><div class="ttdeci">#define matrix_t</div><div class="ttdoc">Define the data type of the matrix elements.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8h_source.html#l00038">matrix.h:38</a></div></div>
+<div class="ttc" id="avector_8h_html"><div class="ttname"><a href="vector_8h.html">vector.h</a></div><div class="ttdoc">Vector computations.</div></div>
+<div class="ttc" id="adist__based__jacobian_8h_html_a04231d3d216ce6814eb3e183f7a2e408"><div class="ttname"><a href="dist__based__jacobian_8h.html#a04231d3d216ce6814eb3e183f7a2e408">dist_based_jacobian_get_J_mul_s</a></div><div class="ttdeci">void dist_based_jacobian_get_J_mul_s(uint8_t ref_points_num, matrix_t ref_point_matrix[ref_points_num][3], matrix_t point[3], matrix_t s[3], matrix_t J_s[ref_points_num])</div><div class="ttdoc">Computes of distance-based localization system.</div><div class="ttdef"><b>Definition:</b> <a href="dist__based__jacobian_8c_source.html#l00132">dist_based_jacobian.c:132</a></div></div>
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+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
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+ <div id="projectname">RcdMathLib_doc
+ </div>
+ <div id="projectbrief">Open Source Library for Linear and Non-linear Algebra</div>
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+<!-- Generated by Doxygen 1.8.16 -->
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+/* @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)">
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+ 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">dist_based_position.c File Reference</div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Functions of distance-based localization systems.
+<a href="#details">More...</a></p>
+<div class="textblock"><code>#include "<a class="el" href="dist__based__position_8h_source.html">dist_based_position.h</a>"</code><br />
+<code>#include <math.h></code><br />
+<code>#include "<a class="el" href="matrix_8h_source.html">matrix.h</a>"</code><br />
+<code>#include "<a class="el" href="vector_8h_source.html">vector.h</a>"</code><br />
+</div>
+<p><a href="dist__based__position_8c_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a308f40001270af6663e2b1f9aff47cc3"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="dist__based__position_8c.html#a308f40001270af6663e2b1f9aff47cc3">dist_based_get_absolute_error</a> (<a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> value_arr[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> approx_value_arr[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> absolute_error_arr[], uint8_t length)</td></tr>
+<tr class="memdesc:a308f40001270af6663e2b1f9aff47cc3"><td class="mdescLeft"> </td><td class="mdescRight">Computes the absolute error of a position of a distance-based localization system. <a href="dist__based__position_8c.html#a308f40001270af6663e2b1f9aff47cc3">More...</a><br /></td></tr>
+<tr class="separator:a308f40001270af6663e2b1f9aff47cc3"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a756c1407a4ba61d312a676ffd824517d"><td class="memItemLeft" align="right" valign="top"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="dist__based__position_8c.html#a756c1407a4ba61d312a676ffd824517d">dist_based_get_distance_to_anchor</a> (<a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3])</td></tr>
+<tr class="memdesc:a756c1407a4ba61d312a676ffd824517d"><td class="mdescLeft"> </td><td class="mdescRight">Computes the distance between a mobile station and a reference station of a distance-based localization system. <a href="dist__based__position_8c.html#a756c1407a4ba61d312a676ffd824517d">More...</a><br /></td></tr>
+<tr class="separator:a756c1407a4ba61d312a676ffd824517d"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Functions of distance-based localization systems. </p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="dist__based__position_8c_source.html">dist_based_position.c</a>.</p>
+</div><h2 class="groupheader">Function Documentation</h2>
+<a id="a308f40001270af6663e2b1f9aff47cc3"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a308f40001270af6663e2b1f9aff47cc3">◆ </a></span>dist_based_get_absolute_error()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void dist_based_get_absolute_error </td>
+ <td>(</td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>value_arr</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>approx_value_arr</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>absolute_error_arr</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>length</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Computes the absolute error of a position of a distance-based localization system. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">value_arr[]</td><td>true position. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">approx_value_arr[]</td><td>approximate position of the mobile device. </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">absolute_error_arr[]</td><td>includes the absolute error. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">length</td><td>arrays length. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="dist__based__position_8c_source.html#l00029">29</a> of file <a class="el" href="dist__based__position_8c_source.html">dist_based_position.c</a>.</p>
+
+</div>
+</div>
+<a id="a756c1407a4ba61d312a676ffd824517d"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a756c1407a4ba61d312a676ffd824517d">◆ </a></span>dist_based_get_distance_to_anchor()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> dist_based_get_distance_to_anchor </td>
+ <td>(</td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>ref_point</em>[3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>point</em>[3] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Computes the distance between a mobile station and a reference station of a distance-based localization system. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">ref_point</td><td>three-dimensional coordinates of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">point</td><td>three-dimensional coordinates of the mobile device.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the distance between the mobile station and the reference station. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="dist__based__position_8c_source.html#l00045">45</a> of file <a class="el" href="dist__based__position_8c_source.html">dist_based_position.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>, <a class="el" href="vector_8c_source.html#l00042">vector_get_norm2()</a>, and <a class="el" href="vector_8c_source.html#l00094">vector_sub()</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="navelem"><a class="el" href="dir_ca7b3fe3a5c68321cdadecc73cd5d1a0.html">localization</a></li><li class="navelem"><a class="el" href="dir_fdc176930829c278cabf5fddd85dbef8.html">position_algos</a></li><li class="navelem"><a class="el" href="dir_143dcbc7e3ad8f423ba36defd23abfa7.html">distance_based</a></li><li class="navelem"><a class="el" href="dist__based__position_8c.html">dist_based_position.c</a></li>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
+ </ul>
+</div>
+</body>
+</html>
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+var dist__based__position_8c =
+[
+ [ "dist_based_get_absolute_error", "dist__based__position_8c.html#a308f40001270af6663e2b1f9aff47cc3", null ],
+ [ "dist_based_get_distance_to_anchor", "dist__based__position_8c.html#a756c1407a4ba61d312a676ffd824517d", null ]
+];
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+<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 1.8.16"/>
+<meta name="viewport" content="width=device-width, initial-scale=1"/>
+<title>RcdMathLib_doc: dist_based_position.c Source File</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<link href="navtree.css" rel="stylesheet" type="text/css"/>
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+<script type="text/javascript" src="navtreedata.js"></script>
+<script type="text/javascript" src="navtree.js"></script>
+<script type="text/javascript">
+/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&dn=gpl-2.0.txt GPL-v2 */
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+<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>
+<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">RcdMathLib_doc
+ </div>
+ <div id="projectbrief">Open Source Library for Linear and Non-linear Algebra</div>
+ </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.16 -->
+<script type="text/javascript">
+/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&dn=gpl-2.0.txt GPL-v2 */
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+</script>
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+<script type="text/javascript">
+/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&dn=gpl-2.0.txt GPL-v2 */
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+ initMenu('',true,false,'search.php','Search');
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+});
+/* @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('dist__based__position_8c_source.html','');});
+/* @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="headertitle">
+<div class="title">dist_based_position.c</div> </div>
+</div><!--header-->
+<div class="contents">
+<a href="dist__based__position_8c.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00022"></a><span class="lineno"> 22</span> <span class="preprocessor">#include "<a class="code" href="dist__based__position_8h.html">dist_based_position.h</a>"</span></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="preprocessor">#include <math.h></span></div>
+<div class="line"><a name="l00025"></a><span class="lineno"> 25</span>  </div>
+<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="preprocessor">#include "<a class="code" href="matrix_8h.html">matrix.h</a>"</span></div>
+<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="preprocessor">#include "<a class="code" href="vector_8h.html">vector.h</a>"</span></div>
+<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>  </div>
+<div class="line"><a name="l00029"></a><span class="lineno"><a class="line" href="dist__based__position_8h.html#a308f40001270af6663e2b1f9aff47cc3"> 29</a></span> <span class="keywordtype">void</span> <a class="code" href="dist__based__position_8c.html#a308f40001270af6663e2b1f9aff47cc3">dist_based_get_absolute_error</a>(<a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> value_arr[],</div>
+<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> approx_value_arr[],</div>
+<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> absolute_error_arr[],</div>
+<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>  uint8_t length)</div>
+<div class="line"><a name="l00033"></a><span class="lineno"> 33</span> {</div>
+<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  uint8_t i;</div>
+<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  </div>
+<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  <span class="keywordflow">if</span> ((value_arr != NULL) && (approx_value_arr != NULL)</div>
+<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  && (absolute_error_arr != NULL)) {</div>
+<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  <span class="keywordflow">for</span> (i = 0; i < length; i++) {</div>
+<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>  absolute_error_arr[i] = fabs(</div>
+<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>  value_arr[i] - approx_value_arr[i]);</div>
+<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  }</div>
+<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  }</div>
+<div class="line"><a name="l00043"></a><span class="lineno"> 43</span> }</div>
+<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  </div>
+<div class="line"><a name="l00045"></a><span class="lineno"><a class="line" href="dist__based__position_8h.html#a756c1407a4ba61d312a676ffd824517d"> 45</a></span> <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> <a class="code" href="dist__based__position_8c.html#a756c1407a4ba61d312a676ffd824517d">dist_based_get_distance_to_anchor</a>(<a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point[3],</div>
+<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3])</div>
+<div class="line"><a name="l00047"></a><span class="lineno"> 47</span> {</div>
+<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> dist = 0.0;</div>
+<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> diff_vec[3];</div>
+<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  </div>
+<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  <a class="code" href="vector_8h.html#a3bbd999b10064c2ede2bd427aa040b63">vector_sub</a>(3, ref_point, point, diff_vec);</div>
+<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  dist = <a class="code" href="vector_8h.html#a4cfc452fdff3e32a601ccff140cd9ae6">vector_get_norm2</a>(3, diff_vec);</div>
+<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  </div>
+<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  <span class="keywordflow">return</span> dist;</div>
+<div class="line"><a name="l00055"></a><span class="lineno"> 55</span> }</div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="avector_8h_html_a4cfc452fdff3e32a601ccff140cd9ae6"><div class="ttname"><a href="vector_8h.html#a4cfc452fdff3e32a601ccff140cd9ae6">vector_get_norm2</a></div><div class="ttdeci">vector_t vector_get_norm2(uint8_t length, vector_t arr[])</div><div class="ttdoc">Compute the 2-norm norm of a vector.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00042">vector.c:42</a></div></div>
+<div class="ttc" id="adist__based__position_8h_html"><div class="ttname"><a href="dist__based__position_8h.html">dist_based_position.h</a></div><div class="ttdoc">Functions of distance-based localization systems.</div></div>
+<div class="ttc" id="adist__based__position_8c_html_a756c1407a4ba61d312a676ffd824517d"><div class="ttname"><a href="dist__based__position_8c.html#a756c1407a4ba61d312a676ffd824517d">dist_based_get_distance_to_anchor</a></div><div class="ttdeci">matrix_t dist_based_get_distance_to_anchor(matrix_t ref_point[3], matrix_t point[3])</div><div class="ttdoc">Computes the distance between a mobile station and a reference station of a distance-based localizati...</div><div class="ttdef"><b>Definition:</b> <a href="dist__based__position_8c_source.html#l00045">dist_based_position.c:45</a></div></div>
+<div class="ttc" id="amatrix_8h_html"><div class="ttname"><a href="matrix_8h.html">matrix.h</a></div><div class="ttdoc">Matrix computations.</div></div>
+<div class="ttc" id="adist__based__position_8c_html_a308f40001270af6663e2b1f9aff47cc3"><div class="ttname"><a href="dist__based__position_8c.html#a308f40001270af6663e2b1f9aff47cc3">dist_based_get_absolute_error</a></div><div class="ttdeci">void dist_based_get_absolute_error(matrix_t value_arr[], matrix_t approx_value_arr[], matrix_t absolute_error_arr[], uint8_t length)</div><div class="ttdoc">Computes the absolute error of a position of a distance-based localization system.</div><div class="ttdef"><b>Definition:</b> <a href="dist__based__position_8c_source.html#l00029">dist_based_position.c:29</a></div></div>
+<div class="ttc" id="amatrix_8h_html_af38ac6b76d645fea9abd6caeb4d9dd31"><div class="ttname"><a href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a></div><div class="ttdeci">#define matrix_t</div><div class="ttdoc">Define the data type of the matrix elements.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8h_source.html#l00038">matrix.h:38</a></div></div>
+<div class="ttc" id="avector_8h_html"><div class="ttname"><a href="vector_8h.html">vector.h</a></div><div class="ttdoc">Vector computations.</div></div>
+<div class="ttc" id="avector_8h_html_a3bbd999b10064c2ede2bd427aa040b63"><div class="ttname"><a href="vector_8h.html#a3bbd999b10064c2ede2bd427aa040b63">vector_sub</a></div><div class="ttdeci">void vector_sub(uint8_t size, vector_t a_vec[], vector_t b_vec[], vector_t a_minus_b[])</div><div class="ttdoc">Compute the subtraction of two vectors.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00094">vector.c:94</a></div></div>
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+
+<div class="header">
+ <div class="summary">
+<a href="#func-members">Functions</a> </div>
+ <div class="headertitle">
+<div class="title">dist_based_position.h File Reference<div class="ingroups"><a class="el" href="group__localization.html">LOCALIZATION</a> » <a class="el" href="group__position__algos.html">POSITION_ALGOS</a> » <a class="el" href="group__distance__based.html">DISTANCE_BASED</a></div></div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Functions of distance-based localization systems.
+<a href="#details">More...</a></p>
+<div class="textblock"><code>#include <math.h></code><br />
+<code>#include <inttypes.h></code><br />
+<code>#include "<a class="el" href="matrix_8h_source.html">matrix.h</a>"</code><br />
+</div>
+<p><a href="dist__based__position_8h_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a308f40001270af6663e2b1f9aff47cc3"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="dist__based__position_8h.html#a308f40001270af6663e2b1f9aff47cc3">dist_based_get_absolute_error</a> (<a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> value_arr[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> approx_value_arr[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> absolute_error_arr[], uint8_t length)</td></tr>
+<tr class="memdesc:a308f40001270af6663e2b1f9aff47cc3"><td class="mdescLeft"> </td><td class="mdescRight">Computes the absolute error of a position of a distance-based localization system. <a href="dist__based__position_8h.html#a308f40001270af6663e2b1f9aff47cc3">More...</a><br /></td></tr>
+<tr class="separator:a308f40001270af6663e2b1f9aff47cc3"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a756c1407a4ba61d312a676ffd824517d"><td class="memItemLeft" align="right" valign="top"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="dist__based__position_8h.html#a756c1407a4ba61d312a676ffd824517d">dist_based_get_distance_to_anchor</a> (<a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3])</td></tr>
+<tr class="memdesc:a756c1407a4ba61d312a676ffd824517d"><td class="mdescLeft"> </td><td class="mdescRight">Computes the distance between a mobile station and a reference station of a distance-based localization system. <a href="dist__based__position_8h.html#a756c1407a4ba61d312a676ffd824517d">More...</a><br /></td></tr>
+<tr class="separator:a756c1407a4ba61d312a676ffd824517d"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Functions of distance-based localization systems. </p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="dist__based__position_8h_source.html">dist_based_position.h</a>.</p>
+</div><h2 class="groupheader">Function Documentation</h2>
+<a id="a308f40001270af6663e2b1f9aff47cc3"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a308f40001270af6663e2b1f9aff47cc3">◆ </a></span>dist_based_get_absolute_error()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void dist_based_get_absolute_error </td>
+ <td>(</td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>value_arr</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>approx_value_arr</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>absolute_error_arr</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>length</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Computes the absolute error of a position of a distance-based localization system. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">value_arr[]</td><td>true position. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">approx_value_arr[]</td><td>approximate position of the mobile device. </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">absolute_error_arr[]</td><td>includes the absolute error. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">length</td><td>arrays length. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="dist__based__position_8c_source.html#l00029">29</a> of file <a class="el" href="dist__based__position_8c_source.html">dist_based_position.c</a>.</p>
+
+</div>
+</div>
+<a id="a756c1407a4ba61d312a676ffd824517d"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a756c1407a4ba61d312a676ffd824517d">◆ </a></span>dist_based_get_distance_to_anchor()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> dist_based_get_distance_to_anchor </td>
+ <td>(</td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>ref_point</em>[3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>point</em>[3] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Computes the distance between a mobile station and a reference station of a distance-based localization system. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">ref_point</td><td>three-dimensional coordinates of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">point</td><td>three-dimensional coordinates of the mobile device.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the distance between the mobile station and the reference station. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="dist__based__position_8c_source.html#l00045">45</a> of file <a class="el" href="dist__based__position_8c_source.html">dist_based_position.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>, <a class="el" href="vector_8c_source.html#l00042">vector_get_norm2()</a>, and <a class="el" href="vector_8c_source.html#l00094">vector_sub()</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="navelem"><a class="el" href="dir_ca7b3fe3a5c68321cdadecc73cd5d1a0.html">localization</a></li><li class="navelem"><a class="el" href="dir_fdc176930829c278cabf5fddd85dbef8.html">position_algos</a></li><li class="navelem"><a class="el" href="dir_143dcbc7e3ad8f423ba36defd23abfa7.html">distance_based</a></li><li class="navelem"><a class="el" href="dir_6ba7a16e4c50d34812a44006ed482e9d.html">include</a></li><li class="navelem"><a class="el" href="dist__based__position_8h.html">dist_based_position.h</a></li>
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+</html>
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+ [ "dist_based_get_distance_to_anchor", "dist__based__position_8h.html#a756c1407a4ba61d312a676ffd824517d", null ]
+];
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+<title>RcdMathLib_doc: dist_based_position.h Source File</title>
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+ <div id="projectname">RcdMathLib_doc
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+ <div id="projectbrief">Open Source Library for Linear and Non-linear Algebra</div>
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+/* @license-end */
+</script>
+<div id="doc-content">
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+ onmouseover="return searchBox.OnSearchSelectShow()"
+ onmouseout="return searchBox.OnSearchSelectHide()"
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+
+<div class="header">
+ <div class="headertitle">
+<div class="title">dist_based_position.h</div> </div>
+</div><!--header-->
+<div class="contents">
+<a href="dist__based__position_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="preprocessor">#ifndef DIST_BASED_POSITION_H_</span></div>
+<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="preprocessor">#define DIST_BASED_POSITION_H_</span></div>
+<div class="line"><a name="l00025"></a><span class="lineno"> 25</span>  </div>
+<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="preprocessor">#include <math.h></span></div>
+<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="preprocessor">#include <inttypes.h></span></div>
+<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>  </div>
+<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="preprocessor">#include "<a class="code" href="matrix_8h.html">matrix.h</a>"</span></div>
+<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>  </div>
+<div class="line"><a name="l00041"></a><span class="lineno"> 41</span> <span class="keywordtype">void</span> <a class="code" href="dist__based__position_8h.html#a308f40001270af6663e2b1f9aff47cc3">dist_based_get_absolute_error</a>(<a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> value_arr[],</div>
+<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> approx_value_arr[],</div>
+<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> absolute_error_arr[],</div>
+<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  uint8_t length);</div>
+<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  </div>
+<div class="line"><a name="l00056"></a><span class="lineno"> 56</span> <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> <a class="code" href="dist__based__position_8h.html#a756c1407a4ba61d312a676ffd824517d">dist_based_get_distance_to_anchor</a>(<a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point[3],</div>
+<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3]);</div>
+<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  </div>
+<div class="line"><a name="l00059"></a><span class="lineno"> 59</span> <span class="preprocessor">#endif </span><span class="comment">/* DIST_BASED_POSITION_H_ */</span><span class="preprocessor"></span></div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="adist__based__position_8h_html_a308f40001270af6663e2b1f9aff47cc3"><div class="ttname"><a href="dist__based__position_8h.html#a308f40001270af6663e2b1f9aff47cc3">dist_based_get_absolute_error</a></div><div class="ttdeci">void dist_based_get_absolute_error(matrix_t value_arr[], matrix_t approx_value_arr[], matrix_t absolute_error_arr[], uint8_t length)</div><div class="ttdoc">Computes the absolute error of a position of a distance-based localization system.</div><div class="ttdef"><b>Definition:</b> <a href="dist__based__position_8c_source.html#l00029">dist_based_position.c:29</a></div></div>
+<div class="ttc" id="amatrix_8h_html"><div class="ttname"><a href="matrix_8h.html">matrix.h</a></div><div class="ttdoc">Matrix computations.</div></div>
+<div class="ttc" id="adist__based__position_8h_html_a756c1407a4ba61d312a676ffd824517d"><div class="ttname"><a href="dist__based__position_8h.html#a756c1407a4ba61d312a676ffd824517d">dist_based_get_distance_to_anchor</a></div><div class="ttdeci">matrix_t dist_based_get_distance_to_anchor(matrix_t ref_point[3], matrix_t point[3])</div><div class="ttdoc">Computes the distance between a mobile station and a reference station of a distance-based localizati...</div><div class="ttdef"><b>Definition:</b> <a href="dist__based__position_8c_source.html#l00045">dist_based_position.c:45</a></div></div>
+<div class="ttc" id="amatrix_8h_html_af38ac6b76d645fea9abd6caeb4d9dd31"><div class="ttname"><a href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a></div><div class="ttdeci">#define matrix_t</div><div class="ttdoc">Define the data type of the matrix elements.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8h_source.html#l00038">matrix.h:38</a></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_ca7b3fe3a5c68321cdadecc73cd5d1a0.html">localization</a></li><li class="navelem"><a class="el" href="dir_fdc176930829c278cabf5fddd85dbef8.html">position_algos</a></li><li class="navelem"><a class="el" href="dir_143dcbc7e3ad8f423ba36defd23abfa7.html">distance_based</a></li><li class="navelem"><a class="el" href="dir_6ba7a16e4c50d34812a44006ed482e9d.html">include</a></li><li class="navelem"><a class="el" href="dist__based__position_8h.html">dist_based_position.h</a></li>
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diff --git a/doc/doxygen/html/distance__based__test_8c.html b/doc/doxygen/html/distance__based__test_8c.html
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+ <td id="projectalign" style="padding-left: 0.5em;">
+ <div id="projectname">RcdMathLib_doc
+ </div>
+ <div id="projectbrief">Open Source Library for Linear and Non-linear Algebra</div>
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+<!-- Generated by Doxygen 1.8.16 -->
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+ onmouseover="return searchBox.OnSearchSelectShow()"
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+ name="MSearchResults" id="MSearchResults">
+</iframe>
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+
+<div class="header">
+ <div class="summary">
+<a href="#func-members">Functions</a> </div>
+ <div class="headertitle">
+<div class="title">distance_based_test.c File Reference</div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Examples of localization algorithms of distance-based positioning systems.
+<a href="#details">More...</a></p>
+<div class="textblock"><code>#include <stdio.h></code><br />
+<code>#include "<a class="el" href="trilateration_8h_source.html">trilateration.h</a>"</code><br />
+<code>#include "<a class="el" href="matrix_8h_source.html">matrix.h</a>"</code><br />
+<code>#include "<a class="el" href="vector_8h_source.html">vector.h</a>"</code><br />
+<code>#include "<a class="el" href="dist__based__position_8h_source.html">dist_based_position.h</a>"</code><br />
+</div>
+<p><a href="distance__based__test_8c_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a3a6d73a022976728a5a298ba62d8e115"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="distance__based__test_8c.html#a3a6d73a022976728a5a298ba62d8e115">distance_based_test</a> (void)</td></tr>
+<tr class="memdesc:a3a6d73a022976728a5a298ba62d8e115"><td class="mdescLeft"> </td><td class="mdescRight">Example of a distance-based localization system. <a href="distance__based__test_8c.html#a3a6d73a022976728a5a298ba62d8e115">More...</a><br /></td></tr>
+<tr class="separator:a3a6d73a022976728a5a298ba62d8e115"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Examples of localization algorithms of distance-based positioning systems. </p>
+<p>Localization algorithms examples using distance measures (see the <a class="el" href="dist__based__position_8h.html">methods of distance-based</a> localization systems).</p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd>
+<dd>
+Abdelmoumen Norrdine <a href="#" onclick="location.href='mai'+'lto:'+'a.n'+'or'+'rdi'+'ne'+'@go'+'og'+'lem'+'ai'+'l.c'+'om'; return false;">a.nor<span style="display: none;">.nosp@m.</span>rdin<span style="display: none;">.nosp@m.</span>e@goo<span style="display: none;">.nosp@m.</span>glem<span style="display: none;">.nosp@m.</span>ail.c<span style="display: none;">.nosp@m.</span>om</a> </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="distance__based__test_8c_source.html">distance_based_test.c</a>.</p>
+</div><h2 class="groupheader">Function Documentation</h2>
+<a id="a3a6d73a022976728a5a298ba62d8e115"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a3a6d73a022976728a5a298ba62d8e115">◆ </a></span>distance_based_test()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void distance_based_test </td>
+ <td>(</td>
+ <td class="paramtype">void </td>
+ <td class="paramname"></td><td>)</td>
+ <td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Example of a distance-based localization system. </p>
+<p>This example shows how to use the trilateration algorithm, whereby an estimated position is calculated based on the distance measurements. </p>
+
+<p class="definition">Definition at line <a class="el" href="distance__based__test_8c_source.html#l00032">32</a> of file <a class="el" href="distance__based__test_8c_source.html">distance_based_test.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>, <a class="el" href="trilateration_8c_source.html#l00069">trilateration2()</a>, and <a class="el" href="vector_8c_source.html#l00284">vector_flex_print()</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="navelem"><a class="el" href="dir_d28a4824dc47e487b107a5db32ef43c4.html">examples</a></li><li class="navelem"><a class="el" href="dir_801c9944761e72e374dff631ac46ee01.html">localization</a></li><li class="navelem"><a class="el" href="dir_fd0747fb67b11559bfa7954b6401be5e.html">position_algos</a></li><li class="navelem"><a class="el" href="dir_9a0e52744106406adeca8f277e27cc62.html">distance_based</a></li><li class="navelem"><a class="el" href="distance__based__test_8c.html">distance_based_test.c</a></li>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
+ </ul>
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+</body>
+</html>
diff --git a/doc/doxygen/html/distance__based__test_8c.js b/doc/doxygen/html/distance__based__test_8c.js
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+[
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+ <div class="headertitle">
+<div class="title">distance_based_test.c</div> </div>
+</div><!--header-->
+<div class="contents">
+<a href="distance__based__test_8c.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#include <stdio.h></span></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="preprocessor">#include "<a class="code" href="trilateration_8h.html">trilateration.h</a>"</span></div>
+<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="preprocessor">#include "<a class="code" href="matrix_8h.html">matrix.h</a>"</span></div>
+<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="preprocessor">#include "<a class="code" href="vector_8h.html">vector.h</a>"</span></div>
+<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="preprocessor">#include "<a class="code" href="dist__based__position_8h.html">dist_based_position.h</a>"</span></div>
+<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  </div>
+<div class="line"><a name="l00032"></a><span class="lineno"><a class="line" href="distance__based__test_8h.html#a3a6d73a022976728a5a298ba62d8e115"> 32</a></span> <span class="keywordtype">void</span> <a class="code" href="distance__based__test_8c.html#a3a6d73a022976728a5a298ba62d8e115">distance_based_test</a>(<span class="keywordtype">void</span>)</div>
+<div class="line"><a name="l00033"></a><span class="lineno"> 33</span> {</div>
+<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  puts(<span class="stringliteral">"***************** Distance-based system example *****************"</span>);</div>
+<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_pos_matrix[4][3] = { { 0, 0, 1.67 }, <span class="comment">// P1</span></div>
+<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  { 4.5, 0, 0.75 }, <span class="comment">// P2</span></div>
+<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  { 4.5, 4.45, 0.75 }, <span class="comment">// P3</span></div>
+<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  { 0, 4.92, 0.86 } <span class="comment">// P4</span></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>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> true_pos[3] = { 1.0000, 3.0000, 0.0000 }; <span class="comment">// is usually unknown</span></div>
+<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  <span class="comment">/* measured distances to the reference stations */</span></div>
+<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> measured_dist_arr[4] = { 3.577157155, 4.685985423, 3.883094303,</div>
+<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  2.320377599 };</div>
+<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  <span class="comment">/* estimated position */</span></div>
+<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> est_pos[4];</div>
+<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  uint8_t ref_point_num = 4;</div>
+<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  <a class="code" href="trilateration_8h.html#adf749802a4d86c2a97a6bac50d17bfea">trilateration2</a>(ref_point_num, ref_pos_matrix, measured_dist_arr,</div>
+<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  est_pos, NULL);</div>
+<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  </div>
+<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  printf(<span class="stringliteral">"true position = "</span>);</div>
+<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  <a class="code" href="vector_8h.html#ab2827264910e858f238868695a92db4b">vector_flex_print</a>(3, true_pos, 5, 4);</div>
+<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  </div>
+<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  printf(<span class="stringliteral">"estimated position = "</span>);</div>
+<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  <a class="code" href="vector_8h.html#ab2827264910e858f238868695a92db4b">vector_flex_print</a>(3, &est_pos[1], 5, 7);</div>
+<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00058"></a><span class="lineno"> 58</span> }</div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="avector_8h_html_ab2827264910e858f238868695a92db4b"><div class="ttname"><a href="vector_8h.html#ab2827264910e858f238868695a92db4b">vector_flex_print</a></div><div class="ttdeci">void vector_flex_print(uint32_t length, vector_t arr[], uint8_t before_dot, uint8_t after_dot)</div><div class="ttdoc">Display the values of the vector's elements.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00284">vector.c:284</a></div></div>
+<div class="ttc" id="atrilateration_8h_html"><div class="ttname"><a href="trilateration_8h.html">trilateration.h</a></div><div class="ttdoc">Implement the trilateration algorithm.</div></div>
+<div class="ttc" id="adist__based__position_8h_html"><div class="ttname"><a href="dist__based__position_8h.html">dist_based_position.h</a></div><div class="ttdoc">Functions of distance-based localization systems.</div></div>
+<div class="ttc" id="amatrix_8h_html"><div class="ttname"><a href="matrix_8h.html">matrix.h</a></div><div class="ttdoc">Matrix computations.</div></div>
+<div class="ttc" id="adistance__based__test_8c_html_a3a6d73a022976728a5a298ba62d8e115"><div class="ttname"><a href="distance__based__test_8c.html#a3a6d73a022976728a5a298ba62d8e115">distance_based_test</a></div><div class="ttdeci">void distance_based_test(void)</div><div class="ttdoc">Example of a distance-based localization system.</div><div class="ttdef"><b>Definition:</b> <a href="distance__based__test_8c_source.html#l00032">distance_based_test.c:32</a></div></div>
+<div class="ttc" id="atrilateration_8h_html_adf749802a4d86c2a97a6bac50d17bfea"><div class="ttname"><a href="trilateration_8h.html#adf749802a4d86c2a97a6bac50d17bfea">trilateration2</a></div><div class="ttdeci">void trilateration2(uint8_t anchor_num, matrix_t anchor_pos_matrix[anchor_num][3], matrix_t dist_arr[], matrix_t solution_x1[], matrix_t solution_x2[])</div><div class="ttdoc">Implement the trilateration algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="trilateration_8c_source.html#l00069">trilateration.c:69</a></div></div>
+<div class="ttc" id="amatrix_8h_html_af38ac6b76d645fea9abd6caeb4d9dd31"><div class="ttname"><a href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a></div><div class="ttdeci">#define matrix_t</div><div class="ttdoc">Define the data type of the matrix elements.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8h_source.html#l00038">matrix.h:38</a></div></div>
+<div class="ttc" id="avector_8h_html"><div class="ttname"><a href="vector_8h.html">vector.h</a></div><div class="ttdoc">Vector computations.</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_d28a4824dc47e487b107a5db32ef43c4.html">examples</a></li><li class="navelem"><a class="el" href="dir_801c9944761e72e374dff631ac46ee01.html">localization</a></li><li class="navelem"><a class="el" href="dir_fd0747fb67b11559bfa7954b6401be5e.html">position_algos</a></li><li class="navelem"><a class="el" href="dir_9a0e52744106406adeca8f277e27cc62.html">distance_based</a></li><li class="navelem"><a class="el" href="distance__based__test_8c.html">distance_based_test.c</a></li>
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diff --git a/doc/doxygen/html/distance__based__test_8h.html b/doc/doxygen/html/distance__based__test_8h.html
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+/* @license-end */
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+ onmouseover="return searchBox.OnSearchSelectShow()"
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+ name="MSearchResults" id="MSearchResults">
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+</div>
+
+<div class="header">
+ <div class="summary">
+<a href="#func-members">Functions</a> </div>
+ <div class="headertitle">
+<div class="title">distance_based_test.h File Reference<div class="ingroups"><a class="el" href="group__examples.html">EXAMPLES</a></div></div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Examples of localization algorithms of distance-based positioning systems.
+<a href="#details">More...</a></p>
+
+<p><a href="distance__based__test_8h_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a3a6d73a022976728a5a298ba62d8e115"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="distance__based__test_8h.html#a3a6d73a022976728a5a298ba62d8e115">distance_based_test</a> (void)</td></tr>
+<tr class="memdesc:a3a6d73a022976728a5a298ba62d8e115"><td class="mdescLeft"> </td><td class="mdescRight">Example of a distance-based localization system. <a href="distance__based__test_8h.html#a3a6d73a022976728a5a298ba62d8e115">More...</a><br /></td></tr>
+<tr class="separator:a3a6d73a022976728a5a298ba62d8e115"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Examples of localization algorithms of distance-based positioning systems. </p>
+<p>Localization algorithms examples using distance measures (see the <a class="el" href="dist__based__position_8h.html">methods of distance-based</a> localization systems).</p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd>
+<dd>
+Abdelmoumen Norrdine <a href="#" onclick="location.href='mai'+'lto:'+'a.n'+'or'+'rdi'+'ne'+'@go'+'og'+'lem'+'ai'+'l.c'+'om'; return false;">a.nor<span style="display: none;">.nosp@m.</span>rdin<span style="display: none;">.nosp@m.</span>e@goo<span style="display: none;">.nosp@m.</span>glem<span style="display: none;">.nosp@m.</span>ail.c<span style="display: none;">.nosp@m.</span>om</a> </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="distance__based__test_8h_source.html">distance_based_test.h</a>.</p>
+</div><h2 class="groupheader">Function Documentation</h2>
+<a id="a3a6d73a022976728a5a298ba62d8e115"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a3a6d73a022976728a5a298ba62d8e115">◆ </a></span>distance_based_test()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void distance_based_test </td>
+ <td>(</td>
+ <td class="paramtype">void </td>
+ <td class="paramname"></td><td>)</td>
+ <td></td>
+ </tr>
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+<p>Example of a distance-based localization system. </p>
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+<a href="distance__based__test_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="preprocessor">#ifndef DISTANCE_BASED_TEST_H_</span></div>
+<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="preprocessor">#define DISTANCE_BASED_TEST_H_</span></div>
+<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>  </div>
+<div class="line"><a name="l00034"></a><span class="lineno"> 34</span> <span class="keywordtype">void</span> <a class="code" href="distance__based__test_8h.html#a3a6d73a022976728a5a298ba62d8e115">distance_based_test</a>(<span class="keywordtype">void</span>);</div>
+<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  </div>
+<div class="line"><a name="l00036"></a><span class="lineno"> 36</span> <span class="preprocessor">#endif </span><span class="comment">/* DISTANCE_BASED_TEST_H_ */</span><span class="preprocessor"></span></div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="adistance__based__test_8h_html_a3a6d73a022976728a5a298ba62d8e115"><div class="ttname"><a href="distance__based__test_8h.html#a3a6d73a022976728a5a298ba62d8e115">distance_based_test</a></div><div class="ttdeci">void distance_based_test(void)</div><div class="ttdoc">Example of a distance-based localization system.</div><div class="ttdef"><b>Definition:</b> <a href="distance__based__test_8c_source.html#l00032">distance_based_test.c:32</a></div></div>
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+ background-color: cyan;
+ box-shadow: 0 0 15px cyan;
+}
+
+.mdescLeft, .mdescRight,
+.memItemLeft, .memItemRight,
+.memTemplItemLeft, .memTemplItemRight, .memTemplParams {
+ background-color: #F9FAFC;
+ border: none;
+ margin: 4px;
+ padding: 1px 0 0 8px;
+}
+
+.mdescLeft, .mdescRight {
+ padding: 0px 8px 4px 8px;
+ color: #555;
+}
+
+.memSeparator {
+ border-bottom: 1px solid #DEE4F0;
+ line-height: 1px;
+ margin: 0px;
+ padding: 0px;
+}
+
+.memItemLeft, .memTemplItemLeft {
+ white-space: nowrap;
+}
+
+.memItemRight {
+ width: 100%;
+}
+
+.memTemplParams {
+ color: #4665A2;
+ white-space: nowrap;
+ font-size: 80%;
+}
+
+/* @end */
+
+/* @group Member Details */
+
+/* Styles for detailed member documentation */
+
+.memtitle {
+ padding: 8px;
+ border-top: 1px solid #A8B8D9;
+ border-left: 1px solid #A8B8D9;
+ border-right: 1px solid #A8B8D9;
+ border-top-right-radius: 4px;
+ border-top-left-radius: 4px;
+ margin-bottom: -1px;
+ background-image: url('nav_f.png');
+ background-repeat: repeat-x;
+ background-color: #E2E8F2;
+ line-height: 1.25;
+ font-weight: 300;
+ float:left;
+}
+
+.permalink
+{
+ font-size: 65%;
+ display: inline-block;
+ vertical-align: middle;
+}
+
+.memtemplate {
+ font-size: 80%;
+ color: #4665A2;
+ font-weight: normal;
+ margin-left: 9px;
+}
+
+.memnav {
+ background-color: #EBEFF6;
+ border: 1px solid #A3B4D7;
+ text-align: center;
+ margin: 2px;
+ margin-right: 15px;
+ padding: 2px;
+}
+
+.mempage {
+ width: 100%;
+}
+
+.memitem {
+ padding: 0;
+ margin-bottom: 10px;
+ margin-right: 5px;
+ -webkit-transition: box-shadow 0.5s linear;
+ -moz-transition: box-shadow 0.5s linear;
+ -ms-transition: box-shadow 0.5s linear;
+ -o-transition: box-shadow 0.5s linear;
+ transition: box-shadow 0.5s linear;
+ display: table !important;
+ width: 100%;
+}
+
+.memitem.glow {
+ box-shadow: 0 0 15px cyan;
+}
+
+.memname {
+ font-weight: 400;
+ margin-left: 6px;
+}
+
+.memname td {
+ vertical-align: bottom;
+}
+
+.memproto, dl.reflist dt {
+ border-top: 1px solid #A8B8D9;
+ border-left: 1px solid #A8B8D9;
+ border-right: 1px solid #A8B8D9;
+ padding: 6px 0px 6px 0px;
+ color: #253555;
+ font-weight: bold;
+ text-shadow: 0px 1px 1px rgba(255, 255, 255, 0.9);
+ background-color: #DFE5F1;
+ /* opera specific markup */
+ box-shadow: 5px 5px 5px rgba(0, 0, 0, 0.15);
+ border-top-right-radius: 4px;
+ /* firefox specific markup */
+ -moz-box-shadow: rgba(0, 0, 0, 0.15) 5px 5px 5px;
+ -moz-border-radius-topright: 4px;
+ /* webkit specific markup */
+ -webkit-box-shadow: 5px 5px 5px rgba(0, 0, 0, 0.15);
+ -webkit-border-top-right-radius: 4px;
+
+}
+
+.overload {
+ font-family: "courier new",courier,monospace;
+ font-size: 65%;
+}
+
+.memdoc, dl.reflist dd {
+ border-bottom: 1px solid #A8B8D9;
+ border-left: 1px solid #A8B8D9;
+ border-right: 1px solid #A8B8D9;
+ padding: 6px 10px 2px 10px;
+ background-color: #FBFCFD;
+ border-top-width: 0;
+ background-image:url('nav_g.png');
+ background-repeat:repeat-x;
+ background-color: #FFFFFF;
+ /* opera specific markup */
+ border-bottom-left-radius: 4px;
+ border-bottom-right-radius: 4px;
+ box-shadow: 5px 5px 5px rgba(0, 0, 0, 0.15);
+ /* firefox specific markup */
+ -moz-border-radius-bottomleft: 4px;
+ -moz-border-radius-bottomright: 4px;
+ -moz-box-shadow: rgba(0, 0, 0, 0.15) 5px 5px 5px;
+ /* webkit specific markup */
+ -webkit-border-bottom-left-radius: 4px;
+ -webkit-border-bottom-right-radius: 4px;
+ -webkit-box-shadow: 5px 5px 5px rgba(0, 0, 0, 0.15);
+}
+
+dl.reflist dt {
+ padding: 5px;
+}
+
+dl.reflist dd {
+ margin: 0px 0px 10px 0px;
+ padding: 5px;
+}
+
+.paramkey {
+ text-align: right;
+}
+
+.paramtype {
+ white-space: nowrap;
+}
+
+.paramname {
+ color: #602020;
+ white-space: nowrap;
+}
+.paramname em {
+ font-style: normal;
+}
+.paramname code {
+ line-height: 14px;
+}
+
+.params, .retval, .exception, .tparams {
+ margin-left: 0px;
+ padding-left: 0px;
+}
+
+.params .paramname, .retval .paramname, .tparams .paramname, .exception .paramname {
+ font-weight: bold;
+ vertical-align: top;
+}
+
+.params .paramtype, .tparams .paramtype {
+ font-style: italic;
+ vertical-align: top;
+}
+
+.params .paramdir, .tparams .paramdir {
+ font-family: "courier new",courier,monospace;
+ vertical-align: top;
+}
+
+table.mlabels {
+ border-spacing: 0px;
+}
+
+td.mlabels-left {
+ width: 100%;
+ padding: 0px;
+}
+
+td.mlabels-right {
+ vertical-align: bottom;
+ padding: 0px;
+ white-space: nowrap;
+}
+
+span.mlabels {
+ margin-left: 8px;
+}
+
+span.mlabel {
+ background-color: #728DC1;
+ border-top:1px solid #5373B4;
+ border-left:1px solid #5373B4;
+ border-right:1px solid #C4CFE5;
+ border-bottom:1px solid #C4CFE5;
+ text-shadow: none;
+ color: white;
+ margin-right: 4px;
+ padding: 2px 3px;
+ border-radius: 3px;
+ font-size: 7pt;
+ white-space: nowrap;
+ vertical-align: middle;
+}
+
+
+
+/* @end */
+
+/* these are for tree view inside a (index) page */
+
+div.directory {
+ margin: 10px 0px;
+ border-top: 1px solid #9CAFD4;
+ border-bottom: 1px solid #9CAFD4;
+ width: 100%;
+}
+
+.directory table {
+ border-collapse:collapse;
+}
+
+.directory td {
+ margin: 0px;
+ padding: 0px;
+ vertical-align: top;
+}
+
+.directory td.entry {
+ white-space: nowrap;
+ padding-right: 6px;
+ padding-top: 3px;
+}
+
+.directory td.entry a {
+ outline:none;
+}
+
+.directory td.entry a img {
+ border: none;
+}
+
+.directory td.desc {
+ width: 100%;
+ padding-left: 6px;
+ padding-right: 6px;
+ padding-top: 3px;
+ border-left: 1px solid rgba(0,0,0,0.05);
+}
+
+.directory tr.even {
+ padding-left: 6px;
+ background-color: #F7F8FB;
+}
+
+.directory img {
+ vertical-align: -30%;
+}
+
+.directory .levels {
+ white-space: nowrap;
+ width: 100%;
+ text-align: right;
+ font-size: 9pt;
+}
+
+.directory .levels span {
+ cursor: pointer;
+ padding-left: 2px;
+ padding-right: 2px;
+ color: #3D578C;
+}
+
+.arrow {
+ color: #9CAFD4;
+ -webkit-user-select: none;
+ -khtml-user-select: none;
+ -moz-user-select: none;
+ -ms-user-select: none;
+ user-select: none;
+ cursor: pointer;
+ font-size: 80%;
+ display: inline-block;
+ width: 16px;
+ height: 22px;
+}
+
+.icon {
+ font-family: Arial, Helvetica;
+ font-weight: bold;
+ font-size: 12px;
+ height: 14px;
+ width: 16px;
+ display: inline-block;
+ background-color: #728DC1;
+ color: white;
+ text-align: center;
+ border-radius: 4px;
+ margin-left: 2px;
+ margin-right: 2px;
+}
+
+.icona {
+ width: 24px;
+ height: 22px;
+ display: inline-block;
+}
+
+.iconfopen {
+ width: 24px;
+ height: 18px;
+ margin-bottom: 4px;
+ background-image:url('folderopen.png');
+ background-position: 0px -4px;
+ background-repeat: repeat-y;
+ vertical-align:top;
+ display: inline-block;
+}
+
+.iconfclosed {
+ width: 24px;
+ height: 18px;
+ margin-bottom: 4px;
+ background-image:url('folderclosed.png');
+ background-position: 0px -4px;
+ background-repeat: repeat-y;
+ vertical-align:top;
+ display: inline-block;
+}
+
+.icondoc {
+ width: 24px;
+ height: 18px;
+ margin-bottom: 4px;
+ background-image:url('doc.png');
+ background-position: 0px -4px;
+ background-repeat: repeat-y;
+ vertical-align:top;
+ display: inline-block;
+}
+
+table.directory {
+ font: 400 14px Roboto,sans-serif;
+}
+
+/* @end */
+
+div.dynheader {
+ margin-top: 8px;
+ -webkit-touch-callout: none;
+ -webkit-user-select: none;
+ -khtml-user-select: none;
+ -moz-user-select: none;
+ -ms-user-select: none;
+ user-select: none;
+}
+
+address {
+ font-style: normal;
+ color: #2A3D61;
+}
+
+table.doxtable caption {
+ caption-side: top;
+}
+
+table.doxtable {
+ border-collapse:collapse;
+ margin-top: 4px;
+ margin-bottom: 4px;
+}
+
+table.doxtable td, table.doxtable th {
+ border: 1px solid #2D4068;
+ padding: 3px 7px 2px;
+}
+
+table.doxtable th {
+ background-color: #374F7F;
+ color: #FFFFFF;
+ font-size: 110%;
+ padding-bottom: 4px;
+ padding-top: 5px;
+}
+
+table.fieldtable {
+ /*width: 100%;*/
+ margin-bottom: 10px;
+ border: 1px solid #A8B8D9;
+ border-spacing: 0px;
+ -moz-border-radius: 4px;
+ -webkit-border-radius: 4px;
+ border-radius: 4px;
+ -moz-box-shadow: rgba(0, 0, 0, 0.15) 2px 2px 2px;
+ -webkit-box-shadow: 2px 2px 2px rgba(0, 0, 0, 0.15);
+ box-shadow: 2px 2px 2px rgba(0, 0, 0, 0.15);
+}
+
+.fieldtable td, .fieldtable th {
+ padding: 3px 7px 2px;
+}
+
+.fieldtable td.fieldtype, .fieldtable td.fieldname {
+ white-space: nowrap;
+ border-right: 1px solid #A8B8D9;
+ border-bottom: 1px solid #A8B8D9;
+ vertical-align: top;
+}
+
+.fieldtable td.fieldname {
+ padding-top: 3px;
+}
+
+.fieldtable td.fielddoc {
+ border-bottom: 1px solid #A8B8D9;
+ /*width: 100%;*/
+}
+
+.fieldtable td.fielddoc p:first-child {
+ margin-top: 0px;
+}
+
+.fieldtable td.fielddoc p:last-child {
+ margin-bottom: 2px;
+}
+
+.fieldtable tr:last-child td {
+ border-bottom: none;
+}
+
+.fieldtable th {
+ background-image:url('nav_f.png');
+ background-repeat:repeat-x;
+ background-color: #E2E8F2;
+ font-size: 90%;
+ color: #253555;
+ padding-bottom: 4px;
+ padding-top: 5px;
+ text-align:left;
+ font-weight: 400;
+ -moz-border-radius-topleft: 4px;
+ -moz-border-radius-topright: 4px;
+ -webkit-border-top-left-radius: 4px;
+ -webkit-border-top-right-radius: 4px;
+ border-top-left-radius: 4px;
+ border-top-right-radius: 4px;
+ border-bottom: 1px solid #A8B8D9;
+}
+
+
+.tabsearch {
+ top: 0px;
+ left: 10px;
+ height: 36px;
+ background-image: url('tab_b.png');
+ z-index: 101;
+ overflow: hidden;
+ font-size: 13px;
+}
+
+.navpath ul
+{
+ font-size: 11px;
+ background-image:url('tab_b.png');
+ background-repeat:repeat-x;
+ background-position: 0 -5px;
+ height:30px;
+ line-height:30px;
+ color:#8AA0CC;
+ border:solid 1px #C2CDE4;
+ overflow:hidden;
+ margin:0px;
+ padding:0px;
+}
+
+.navpath li
+{
+ list-style-type:none;
+ float:left;
+ padding-left:10px;
+ padding-right:15px;
+ background-image:url('bc_s.png');
+ background-repeat:no-repeat;
+ background-position:right;
+ color:#364D7C;
+}
+
+.navpath li.navelem a
+{
+ height:32px;
+ display:block;
+ text-decoration: none;
+ outline: none;
+ color: #283A5D;
+ font-family: 'Lucida Grande',Geneva,Helvetica,Arial,sans-serif;
+ text-shadow: 0px 1px 1px rgba(255, 255, 255, 0.9);
+ text-decoration: none;
+}
+
+.navpath li.navelem a:hover
+{
+ color:#6884BD;
+}
+
+.navpath li.footer
+{
+ list-style-type:none;
+ float:right;
+ padding-left:10px;
+ padding-right:15px;
+ background-image:none;
+ background-repeat:no-repeat;
+ background-position:right;
+ color:#364D7C;
+ font-size: 8pt;
+}
+
+
+div.summary
+{
+ float: right;
+ font-size: 8pt;
+ padding-right: 5px;
+ width: 50%;
+ text-align: right;
+}
+
+div.summary a
+{
+ white-space: nowrap;
+}
+
+table.classindex
+{
+ margin: 10px;
+ white-space: nowrap;
+ margin-left: 3%;
+ margin-right: 3%;
+ width: 94%;
+ border: 0;
+ border-spacing: 0;
+ padding: 0;
+}
+
+div.ingroups
+{
+ font-size: 8pt;
+ width: 50%;
+ text-align: left;
+}
+
+div.ingroups a
+{
+ white-space: nowrap;
+}
+
+div.header
+{
+ background-image:url('nav_h.png');
+ background-repeat:repeat-x;
+ background-color: #F9FAFC;
+ margin: 0px;
+ border-bottom: 1px solid #C4CFE5;
+}
+
+div.headertitle
+{
+ padding: 5px 5px 5px 10px;
+}
+
+.PageDocRTL-title div.headertitle {
+ text-align: right;
+ direction: rtl;
+}
+
+dl {
+ padding: 0 0 0 0;
+}
+
+/* dl.note, dl.warning, dl.attention, dl.pre, dl.post, dl.invariant, dl.deprecated, dl.todo, dl.test, dl.bug, dl.examples */
+dl.section {
+ margin-left: 0px;
+ padding-left: 0px;
+}
+
+dl.section.DocNodeRTL {
+ margin-right: 0px;
+ padding-right: 0px;
+}
+
+dl.note {
+ margin-left: -7px;
+ padding-left: 3px;
+ border-left: 4px solid;
+ border-color: #D0C000;
+}
+
+dl.note.DocNodeRTL {
+ margin-left: 0;
+ padding-left: 0;
+ border-left: 0;
+ margin-right: -7px;
+ padding-right: 3px;
+ border-right: 4px solid;
+ border-color: #D0C000;
+}
+
+dl.warning, dl.attention {
+ margin-left: -7px;
+ padding-left: 3px;
+ border-left: 4px solid;
+ border-color: #FF0000;
+}
+
+dl.warning.DocNodeRTL, dl.attention.DocNodeRTL {
+ margin-left: 0;
+ padding-left: 0;
+ border-left: 0;
+ margin-right: -7px;
+ padding-right: 3px;
+ border-right: 4px solid;
+ border-color: #FF0000;
+}
+
+dl.pre, dl.post, dl.invariant {
+ margin-left: -7px;
+ padding-left: 3px;
+ border-left: 4px solid;
+ border-color: #00D000;
+}
+
+dl.pre.DocNodeRTL, dl.post.DocNodeRTL, dl.invariant.DocNodeRTL {
+ margin-left: 0;
+ padding-left: 0;
+ border-left: 0;
+ margin-right: -7px;
+ padding-right: 3px;
+ border-right: 4px solid;
+ border-color: #00D000;
+}
+
+dl.deprecated {
+ margin-left: -7px;
+ padding-left: 3px;
+ border-left: 4px solid;
+ border-color: #505050;
+}
+
+dl.deprecated.DocNodeRTL {
+ margin-left: 0;
+ padding-left: 0;
+ border-left: 0;
+ margin-right: -7px;
+ padding-right: 3px;
+ border-right: 4px solid;
+ border-color: #505050;
+}
+
+dl.todo {
+ margin-left: -7px;
+ padding-left: 3px;
+ border-left: 4px solid;
+ border-color: #00C0E0;
+}
+
+dl.todo.DocNodeRTL {
+ margin-left: 0;
+ padding-left: 0;
+ border-left: 0;
+ margin-right: -7px;
+ padding-right: 3px;
+ border-right: 4px solid;
+ border-color: #00C0E0;
+}
+
+dl.test {
+ margin-left: -7px;
+ padding-left: 3px;
+ border-left: 4px solid;
+ border-color: #3030E0;
+}
+
+dl.test.DocNodeRTL {
+ margin-left: 0;
+ padding-left: 0;
+ border-left: 0;
+ margin-right: -7px;
+ padding-right: 3px;
+ border-right: 4px solid;
+ border-color: #3030E0;
+}
+
+dl.bug {
+ margin-left: -7px;
+ padding-left: 3px;
+ border-left: 4px solid;
+ border-color: #C08050;
+}
+
+dl.bug.DocNodeRTL {
+ margin-left: 0;
+ padding-left: 0;
+ border-left: 0;
+ margin-right: -7px;
+ padding-right: 3px;
+ border-right: 4px solid;
+ border-color: #C08050;
+}
+
+dl.section dd {
+ margin-bottom: 6px;
+}
+
+
+#projectlogo
+{
+ text-align: center;
+ vertical-align: bottom;
+ border-collapse: separate;
+}
+
+#projectlogo img
+{
+ border: 0px none;
+}
+
+#projectalign
+{
+ vertical-align: middle;
+}
+
+#projectname
+{
+ font: 300% Tahoma, Arial,sans-serif;
+ margin: 0px;
+ padding: 2px 0px;
+}
+
+#projectbrief
+{
+ font: 120% Tahoma, Arial,sans-serif;
+ margin: 0px;
+ padding: 0px;
+}
+
+#projectnumber
+{
+ font: 50% Tahoma, Arial,sans-serif;
+ margin: 0px;
+ padding: 0px;
+}
+
+#titlearea
+{
+ padding: 0px;
+ margin: 0px;
+ width: 100%;
+ border-bottom: 1px solid #5373B4;
+}
+
+.image
+{
+ text-align: center;
+}
+
+.dotgraph
+{
+ text-align: center;
+}
+
+.mscgraph
+{
+ text-align: center;
+}
+
+.plantumlgraph
+{
+ text-align: center;
+}
+
+.diagraph
+{
+ text-align: center;
+}
+
+.caption
+{
+ font-weight: bold;
+}
+
+div.zoom
+{
+ border: 1px solid #90A5CE;
+}
+
+dl.citelist {
+ margin-bottom:50px;
+}
+
+dl.citelist dt {
+ color:#334975;
+ float:left;
+ font-weight:bold;
+ margin-right:10px;
+ padding:5px;
+}
+
+dl.citelist dd {
+ margin:2px 0;
+ padding:5px 0;
+}
+
+div.toc {
+ padding: 14px 25px;
+ background-color: #F4F6FA;
+ border: 1px solid #D8DFEE;
+ border-radius: 7px 7px 7px 7px;
+ float: right;
+ height: auto;
+ margin: 0 8px 10px 10px;
+ width: 200px;
+}
+
+.PageDocRTL-title div.toc {
+ float: left !important;
+ text-align: right;
+}
+
+div.toc li {
+ background: url("bdwn.png") no-repeat scroll 0 5px transparent;
+ font: 10px/1.2 Verdana,DejaVu Sans,Geneva,sans-serif;
+ margin-top: 5px;
+ padding-left: 10px;
+ padding-top: 2px;
+}
+
+.PageDocRTL-title div.toc li {
+ background-position-x: right !important;
+ padding-left: 0 !important;
+ padding-right: 10px;
+}
+
+div.toc h3 {
+ font: bold 12px/1.2 Arial,FreeSans,sans-serif;
+ color: #4665A2;
+ border-bottom: 0 none;
+ margin: 0;
+}
+
+div.toc ul {
+ list-style: none outside none;
+ border: medium none;
+ padding: 0px;
+}
+
+div.toc li.level1 {
+ margin-left: 0px;
+}
+
+div.toc li.level2 {
+ margin-left: 15px;
+}
+
+div.toc li.level3 {
+ margin-left: 30px;
+}
+
+div.toc li.level4 {
+ margin-left: 45px;
+}
+
+.PageDocRTL-title div.toc li.level1 {
+ margin-left: 0 !important;
+ margin-right: 0;
+}
+
+.PageDocRTL-title div.toc li.level2 {
+ margin-left: 0 !important;
+ margin-right: 15px;
+}
+
+.PageDocRTL-title div.toc li.level3 {
+ margin-left: 0 !important;
+ margin-right: 30px;
+}
+
+.PageDocRTL-title div.toc li.level4 {
+ margin-left: 0 !important;
+ margin-right: 45px;
+}
+
+.inherit_header {
+ font-weight: bold;
+ color: gray;
+ cursor: pointer;
+ -webkit-touch-callout: none;
+ -webkit-user-select: none;
+ -khtml-user-select: none;
+ -moz-user-select: none;
+ -ms-user-select: none;
+ user-select: none;
+}
+
+.inherit_header td {
+ padding: 6px 0px 2px 5px;
+}
+
+.inherit {
+ display: none;
+}
+
+tr.heading h2 {
+ margin-top: 12px;
+ margin-bottom: 4px;
+}
+
+/* tooltip related style info */
+
+.ttc {
+ position: absolute;
+ display: none;
+}
+
+#powerTip {
+ cursor: default;
+ white-space: nowrap;
+ background-color: white;
+ border: 1px solid gray;
+ border-radius: 4px 4px 4px 4px;
+ box-shadow: 1px 1px 7px gray;
+ display: none;
+ font-size: smaller;
+ max-width: 80%;
+ opacity: 0.9;
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diff --git a/doc/doxygen/html/files.html b/doc/doxygen/html/files.html
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+<!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">
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+<meta name="generator" content="Doxygen 1.8.16"/>
+<meta name="viewport" content="width=device-width, initial-scale=1"/>
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+<script type="text/javascript">
+/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&dn=gpl-2.0.txt GPL-v2 */
+ $(document).ready(initResizable);
+/* @license-end */</script>
+<link href="search/search.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="search/searchdata.js"></script>
+<script type="text/javascript" src="search/search.js"></script>
+<link href="doxygen.css" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+ <td id="projectalign" style="padding-left: 0.5em;">
+ <div id="projectname">RcdMathLib_doc
+ </div>
+ <div id="projectbrief">Open Source Library for Linear and Non-linear Algebra</div>
+ </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.16 -->
+<script type="text/javascript">
+/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&dn=gpl-2.0.txt GPL-v2 */
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+ class="ui-resizable-handle">
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+</div>
+<script type="text/javascript">
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+$(document).ready(function(){initNavTree('files.html','');});
+/* @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)">
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+
+<!-- iframe showing the search results (closed by default) -->
+<div id="MSearchResultsWindow">
+<iframe src="javascript:void(0)" frameborder="0"
+ name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="header">
+ <div class="headertitle">
+<div class="title">File List</div> </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock">Here is a list of all documented files with brief descriptions:</div><div class="directory">
+<table class="directory">
+<tr id="row_0_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </span><a href="combinatorics_8c_source.html"><span class="icondoc"></span></a><a class="el" href="combinatorics_8c.html" target="_self">combinatorics.c</a></td><td class="desc">Calculate possible <img class="formulaInl" alt="$ \binom{n}{k} combinations $" src="form_37.png"/> without repetition in ascending order </td></tr>
+<tr id="row_1_"><td class="entry"><span style="width:16px;display:inline-block;"> </span><a href="combinatorics_8h_source.html"><span class="icondoc"></span></a><a class="el" href="combinatorics_8h.html" target="_self">combinatorics.h</a></td><td class="desc">Calculate possible <img class="formulaInl" alt="$ \binom{n}{k} combinations $" src="form_37.png"/> without repetition in ascending order </td></tr>
+<tr id="row_2_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </span><a href="damped__newton__raphson_8c_source.html"><span class="icondoc"></span></a><a class="el" href="damped__newton__raphson_8c.html" target="_self">damped_newton_raphson.c</a></td><td class="desc">Implement the damped Newton–Raphson algorithm </td></tr>
+<tr id="row_3_"><td class="entry"><span style="width:16px;display:inline-block;"> </span><a href="damped__newton__raphson_8h_source.html"><span class="icondoc"></span></a><a class="el" href="damped__newton__raphson_8h.html" target="_self">damped_newton_raphson.h</a></td><td class="desc">Implement the damped Newton–Raphson algorithm </td></tr>
+<tr id="row_4_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </span><a href="dist__based__fi_8c_source.html"><span class="icondoc"></span></a><a class="el" href="dist__based__fi_8c.html" target="_self">dist_based_fi.c</a></td><td class="desc">Error function of distance-based localization systems </td></tr>
+<tr id="row_5_"><td class="entry"><span style="width:16px;display:inline-block;"> </span><a href="dist__based__fi_8h_source.html"><span class="icondoc"></span></a><a class="el" href="dist__based__fi_8h.html" target="_self">dist_based_fi.h</a></td><td class="desc">Error function of distance-based localization systems </td></tr>
+<tr id="row_6_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </span><a href="dist__based__jacobian_8c_source.html"><span class="icondoc"></span></a><a class="el" href="dist__based__jacobian_8c.html" target="_self">dist_based_jacobian.c</a></td><td class="desc">Jacobian function of distance-based localization systems </td></tr>
+<tr id="row_7_"><td class="entry"><span style="width:16px;display:inline-block;"> </span><a href="dist__based__jacobian_8h_source.html"><span class="icondoc"></span></a><a class="el" href="dist__based__jacobian_8h.html" target="_self">dist_based_jacobian.h</a></td><td class="desc">Jacobian function of distance-based localization systems </td></tr>
+<tr id="row_8_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </span><a href="dist__based__position_8c_source.html"><span class="icondoc"></span></a><a class="el" href="dist__based__position_8c.html" target="_self">dist_based_position.c</a></td><td class="desc">Functions of distance-based localization systems </td></tr>
+<tr id="row_9_"><td class="entry"><span style="width:16px;display:inline-block;"> </span><a href="dist__based__position_8h_source.html"><span class="icondoc"></span></a><a class="el" href="dist__based__position_8h.html" target="_self">dist_based_position.h</a></td><td class="desc">Functions of distance-based localization systems </td></tr>
+<tr id="row_10_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </span><a href="distance__based__test_8c_source.html"><span class="icondoc"></span></a><a class="el" href="distance__based__test_8c.html" target="_self">distance_based_test.c</a></td><td class="desc">Examples of localization algorithms of distance-based positioning systems </td></tr>
+<tr id="row_11_"><td class="entry"><span style="width:16px;display:inline-block;"> </span><a href="distance__based__test_8h_source.html"><span class="icondoc"></span></a><a class="el" href="distance__based__test_8h.html" target="_self">distance_based_test.h</a></td><td class="desc">Examples of localization algorithms of distance-based positioning systems </td></tr>
+<tr id="row_12_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </span><a href="DOP_8c_source.html"><span class="icondoc"></span></a><a class="el" href="DOP_8c.html" target="_self">DOP.c</a></td><td class="desc">Compute the Position Dilution of Precision (PDOP) </td></tr>
+<tr id="row_13_"><td class="entry"><span style="width:16px;display:inline-block;"> </span><a href="DOP_8h_source.html"><span class="icondoc"></span></a><a class="el" href="DOP_8h.html" target="_self">DOP.h</a></td><td class="desc">Compute the Position Dilution of Precision (PDOP) </td></tr>
+<tr id="row_14_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </span><a href="fsolve_8c_source.html"><span class="icondoc"></span></a><a class="el" href="fsolve_8c.html" target="_self">fsolve.c</a></td><td class="desc">Solve multi-variant nonlinear equation systems </td></tr>
+<tr id="row_15_"><td class="entry"><span style="width:16px;display:inline-block;"> </span><a href="fsolve_8h_source.html"><span class="icondoc"></span></a><a class="el" href="fsolve_8h.html" target="_self">fsolve.h</a></td><td class="desc">Solve multi-variant nonlinear equation systems </td></tr>
+<tr id="row_16_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </span><a href="fsolve__test_8c_source.html"><span class="icondoc"></span></a><a class="el" href="fsolve__test_8c.html" target="_self">fsolve_test.c</a></td><td class="desc">Examples of solving non-linear equation systems </td></tr>
+<tr id="row_17_"><td class="entry"><span style="width:16px;display:inline-block;"> </span><a href="fsolve__test_8h_source.html"><span class="icondoc"></span></a><a class="el" href="fsolve__test_8h.html" target="_self">fsolve_test.h</a></td><td class="desc">Examples of solving non-linear equation systems </td></tr>
+<tr id="row_18_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </span><a href="givens__test_8c_source.html"><span class="icondoc"></span></a><a class="el" href="givens__test_8c.html" target="_self">givens_test.c</a></td><td class="desc">Examples of the Givens algorithm </td></tr>
+<tr id="row_19_"><td class="entry"><span style="width:16px;display:inline-block;"> </span><a href="givens__test_8h_source.html"><span class="icondoc"></span></a><a class="el" href="givens__test_8h.html" target="_self">givens_test.h</a></td><td class="desc">Examples of the Givens algorithm </td></tr>
+<tr id="row_20_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </span><a href="householder__test_8c_source.html"><span class="icondoc"></span></a><a class="el" href="householder__test_8c.html" target="_self">householder_test.c</a></td><td class="desc">Examples of the Householder algorithm </td></tr>
+<tr id="row_21_"><td class="entry"><span style="width:16px;display:inline-block;"> </span><a href="householder__test_8h_source.html"><span class="icondoc"></span></a><a class="el" href="householder__test_8h.html" target="_self">householder_test.h</a></td><td class="desc">Examples of the Householder algorithm </td></tr>
+<tr id="row_22_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </span><a href="levenberg__marquardt_8c_source.html"><span class="icondoc"></span></a><a class="el" href="levenberg__marquardt_8c.html" target="_self">levenberg_marquardt.c</a></td><td class="desc">Implement the Levenberg–Marquardt (LVM) algorithm </td></tr>
+<tr id="row_23_"><td class="entry"><span style="width:16px;display:inline-block;"> </span><a href="levenberg__marquardt_8h_source.html"><span class="icondoc"></span></a><a class="el" href="levenberg__marquardt_8h.html" target="_self">levenberg_marquardt.h</a></td><td class="desc">Implement the Levenberg–Marquardt (LVM) algorithm </td></tr>
+<tr id="row_24_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </span><a href="loc__gauss__newton_8c_source.html"><span class="icondoc"></span></a><a class="el" href="loc__gauss__newton_8c.html" target="_self">loc_gauss_newton.c</a></td><td class="desc">Implement the Gauss–Newton algorithm </td></tr>
+<tr id="row_25_"><td class="entry"><span style="width:16px;display:inline-block;"> </span><a href="loc__gauss__newton_8h_source.html"><span class="icondoc"></span></a><a class="el" href="loc__gauss__newton_8h.html" target="_self">loc_gauss_newton.h</a></td><td class="desc">Implement the Gauss–Newton algorithm for position optimization </td></tr>
+<tr id="row_26_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </span><a href="loc__levenberg__marquardt_8c_source.html"><span class="icondoc"></span></a><a class="el" href="loc__levenberg__marquardt_8c.html" target="_self">loc_levenberg_marquardt.c</a></td><td class="desc">Implement the Levenberg–Marquardt (LVM) algorithm </td></tr>
+<tr id="row_27_"><td class="entry"><span style="width:16px;display:inline-block;"> </span><a href="loc__levenberg__marquardt_8h_source.html"><span class="icondoc"></span></a><a class="el" href="loc__levenberg__marquardt_8h.html" target="_self">loc_levenberg_marquardt.h</a></td><td class="desc">Implement the Levenberg–Marquardt (LVM) algorithm for position optimization </td></tr>
+<tr id="row_28_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </span><a href="lu__decomp_8c_source.html"><span class="icondoc"></span></a><a class="el" href="lu__decomp_8c.html" target="_self">lu_decomp.c</a></td><td class="desc">Computes the LU decomposition of the matrix </td></tr>
+<tr id="row_29_"><td class="entry"><span style="width:16px;display:inline-block;"> </span><a href="lu__decomp_8h_source.html"><span class="icondoc"></span></a><a class="el" href="lu__decomp_8h.html" target="_self">lu_decomp.h</a></td><td class="desc">Computes the LU decomposition of the matrix </td></tr>
+<tr id="row_30_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </span><a href="lu__decomp__test_8c_source.html"><span class="icondoc"></span></a><a class="el" href="lu__decomp__test_8c.html" target="_self">lu_decomp_test.c</a></td><td class="desc">Examples of the LU algorithm with pivoting </td></tr>
+<tr id="row_31_"><td class="entry"><span style="width:16px;display:inline-block;"> </span><a href="lu__decomp__test_8h_source.html"><span class="icondoc"></span></a><a class="el" href="lu__decomp__test_8h.html" target="_self">lu_decomp_test.h</a></td><td class="desc">Examples of the LU algorithm with pivoting </td></tr>
+<tr id="row_32_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </span><a href="magnetic__based__fi_8c_source.html"><span class="icondoc"></span></a><a class="el" href="magnetic__based__fi_8c.html" target="_self">magnetic_based_fi.c</a></td><td class="desc">Error function of DC-pulsed, magnetic localization system </td></tr>
+<tr id="row_33_"><td class="entry"><span style="width:16px;display:inline-block;"> </span><a href="magnetic__based__fi_8h_source.html"><span class="icondoc"></span></a><a class="el" href="magnetic__based__fi_8h.html" target="_self">magnetic_based_fi.h</a></td><td class="desc">Error function of DC-pulsed, magnetic localization system </td></tr>
+<tr id="row_34_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </span><a href="magnetic__based__jacobian_8c_source.html"><span class="icondoc"></span></a><a class="el" href="magnetic__based__jacobian_8c.html" target="_self">magnetic_based_jacobian.c</a></td><td class="desc">Jacobian function of DC-pulsed, magnetic localization system </td></tr>
+<tr id="row_35_"><td class="entry"><span style="width:16px;display:inline-block;"> </span><a href="magnetic__based__jacobian_8h_source.html"><span class="icondoc"></span></a><a class="el" href="magnetic__based__jacobian_8h.html" target="_self">magnetic_based_jacobian.h</a></td><td class="desc">Jacobian function of DC-pulsed, magnetic localization system </td></tr>
+<tr id="row_36_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </span><a href="magnetic__based__position_8c_source.html"><span class="icondoc"></span></a><a class="el" href="magnetic__based__position_8c.html" target="_self">magnetic_based_position.c</a></td><td class="desc">Functions of of DC-pulsed, magnetic localization system </td></tr>
+<tr id="row_37_"><td class="entry"><span style="width:16px;display:inline-block;"> </span><a href="magnetic__based__position_8h_source.html"><span class="icondoc"></span></a><a class="el" href="magnetic__based__position_8h.html" target="_self">magnetic_based_position.h</a></td><td class="desc">Functions of of DC-pulsed, magnetic localization system </td></tr>
+<tr id="row_38_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </span><a href="magnetic__based__test_8c_source.html"><span class="icondoc"></span></a><a class="el" href="magnetic__based__test_8c.html" target="_self">magnetic_based_test.c</a></td><td class="desc">Examples of localization algorithms of magnetic-based positioning systems </td></tr>
+<tr id="row_39_"><td class="entry"><span style="width:16px;display:inline-block;"> </span><a href="magnetic__based__test_8h_source.html"><span class="icondoc"></span></a><a class="el" href="magnetic__based__test_8h.html" target="_self">magnetic_based_test.h</a></td><td class="desc">Examples of localization algorithms of magnetic-based positioning systems </td></tr>
+<tr id="row_40_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </span><a href="matrix_8c_source.html"><span class="icondoc"></span></a><a class="el" href="matrix_8c.html" target="_self">matrix.c</a></td><td class="desc">Matrix computations </td></tr>
+<tr id="row_41_"><td class="entry"><span style="width:16px;display:inline-block;"> </span><a href="matrix_8h_source.html"><span class="icondoc"></span></a><a class="el" href="matrix_8h.html" target="_self">matrix.h</a></td><td class="desc">Matrix computations </td></tr>
+<tr id="row_42_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </span><a href="matrix__test_8c_source.html"><span class="icondoc"></span></a><a class="el" href="matrix__test_8c.html" target="_self">matrix_test.c</a></td><td class="desc">Examples of matrix computations </td></tr>
+<tr id="row_43_"><td class="entry"><span style="width:16px;display:inline-block;"> </span><a href="matrix__test_8h_source.html"><span class="icondoc"></span></a><a class="el" href="matrix__test_8h.html" target="_self">matrix_test.h</a></td><td class="desc">Examples of matrix computations </td></tr>
+<tr id="row_44_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </span><a href="modified__gauss__newton_8c_source.html"><span class="icondoc"></span></a><a class="el" href="modified__gauss__newton_8c.html" target="_self">modified_gauss_newton.c</a></td><td class="desc">Implement the Gauss–Newton algorithm </td></tr>
+<tr id="row_45_"><td class="entry"><span style="width:16px;display:inline-block;"> </span><a href="modified__gauss__newton_8h_source.html"><span class="icondoc"></span></a><a class="el" href="modified__gauss__newton_8h.html" target="_self">modified_gauss_newton.h</a></td><td class="desc">Implement the Gauss–Newton algorithm </td></tr>
+<tr id="row_46_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </span><a href="moore__penrose__pinv__test_8c_source.html"><span class="icondoc"></span></a><a class="el" href="moore__penrose__pinv__test_8c.html" target="_self">moore_penrose_pinv_test.c</a></td><td class="desc">Examples of the Moore–Penrose algorithm </td></tr>
+<tr id="row_47_"><td class="entry"><span style="width:16px;display:inline-block;"> </span><a href="moore__penrose__pinv__test_8h_source.html"><span class="icondoc"></span></a><a class="el" href="moore__penrose__pinv__test_8h.html" target="_self">moore_penrose_pinv_test.h</a></td><td class="desc">Examples of the Moore–Penrose algorithm </td></tr>
+<tr id="row_48_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </span><a href="moore__penrose__pseudo__inverse_8c_source.html"><span class="icondoc"></span></a><a class="el" href="moore__penrose__pseudo__inverse_8c.html" target="_self">moore_penrose_pseudo_inverse.c</a></td><td class="desc">Moore–Penrose algorithm to compute the pseudo-inverse of a rectangular matrix </td></tr>
+<tr id="row_49_"><td class="entry"><span style="width:16px;display:inline-block;"> </span><a href="moore__penrose__pseudo__inverse_8h_source.html"><span class="icondoc"></span></a><a class="el" href="moore__penrose__pseudo__inverse_8h.html" target="_self">moore_penrose_pseudo_inverse.h</a></td><td class="desc">Moore–Penrose algorithm to compute the pseudo-inverse of a matrix </td></tr>
+<tr id="row_50_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </span><a href="multipath__algo__own__norm__distr__test_8c_source.html"><span class="icondoc"></span></a><a class="el" href="multipath__algo__own__norm__distr__test_8c.html" target="_self">multipath_algo_own_norm_distr_test.c</a></td><td class="desc">Example of the algorithm for the recognition and mitigation of multipath effects </td></tr>
+<tr id="row_51_"><td class="entry"><span style="width:16px;display:inline-block;"> </span><a href="multipath__algo__own__norm__distr__test_8h_source.html"><span class="icondoc"></span></a><a class="el" href="multipath__algo__own__norm__distr__test_8h.html" target="_self">multipath_algo_own_norm_distr_test.h</a></td><td class="desc">Example of the algorithm for the recognition and mitigation of multipath effects </td></tr>
+<tr id="row_52_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </span><a href="multipath__dist__detection__mitigation_8c_source.html"><span class="icondoc"></span></a><a class="el" href="multipath__dist__detection__mitigation_8c.html" target="_self">multipath_dist_detection_mitigation.c</a></td><td class="desc">Implement the Multipath Distance Detection and Mitigation (MDDM) algorithm </td></tr>
+<tr id="row_53_"><td class="entry"><span style="width:16px;display:inline-block;"> </span><a href="multipath__dist__detection__mitigation_8h_source.html"><span class="icondoc"></span></a><a class="el" href="multipath__dist__detection__mitigation_8h.html" target="_self">multipath_dist_detection_mitigation.h</a></td><td class="desc">Implement the Multipath Distance Detection and Mitigation (MDDM) algorithm </td></tr>
+<tr id="row_54_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </span><a href="newton__raphson_8c_source.html"><span class="icondoc"></span></a><a class="el" href="newton__raphson_8c.html" target="_self">newton_raphson.c</a></td><td class="desc">Implement the Newton–Raphson algorithm </td></tr>
+<tr id="row_55_"><td class="entry"><span style="width:16px;display:inline-block;"> </span><a href="newton__raphson_8h_source.html"><span class="icondoc"></span></a><a class="el" href="newton__raphson_8h.html" target="_self">newton_raphson.h</a></td><td class="desc">Implement the Newton–Raphson algorithm </td></tr>
+<tr id="row_56_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </span><a href="norm__dist__rnd__generator_8c_source.html"><span class="icondoc"></span></a><a class="el" href="norm__dist__rnd__generator_8c.html" target="_self">norm_dist_rnd_generator.c</a></td><td class="desc">Generating normally distributed random numbers </td></tr>
+<tr id="row_57_"><td class="entry"><span style="width:16px;display:inline-block;"> </span><a href="norm__dist__rnd__generator_8h_source.html"><span class="icondoc"></span></a><a class="el" href="norm__dist__rnd__generator_8h.html" target="_self">norm_dist_rnd_generator.h</a></td><td class="desc">Generating normally distributed random numbers </td></tr>
+<tr id="row_58_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </span><a href="optimization__test_8c_source.html"><span class="icondoc"></span></a><a class="el" href="optimization__test_8c.html" target="_self">optimization_test.c</a></td><td class="desc">Examples of optimization algorithms </td></tr>
+<tr id="row_59_"><td class="entry"><span style="width:16px;display:inline-block;"> </span><a href="optimization__test_8h_source.html"><span class="icondoc"></span></a><a class="el" href="optimization__test_8h.html" target="_self">optimization_test.h</a></td><td class="desc">Examples of optimization algorithms </td></tr>
+<tr id="row_60_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </span><a href="pos__algos__common__test_8c_source.html"><span class="icondoc"></span></a><a class="el" href="pos__algos__common__test_8c.html" target="_self">pos_algos_common_test.c</a></td><td class="desc">Examples of common algorithms of localization systems </td></tr>
+<tr id="row_61_"><td class="entry"><span style="width:16px;display:inline-block;"> </span><a href="pos__algos__common__test_8h_source.html"><span class="icondoc"></span></a><a class="el" href="pos__algos__common__test_8h.html" target="_self">pos_algos_common_test.h</a></td><td class="desc">Examples of common algorithms of localization systems </td></tr>
+<tr id="row_62_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </span><a href="position__optimization__test_8c_source.html"><span class="icondoc"></span></a><a class="el" href="position__optimization__test_8c.html" target="_self">position_optimization_test.c</a></td><td class="desc">Examples of optimization algorithms for localization systems </td></tr>
+<tr id="row_63_"><td class="entry"><span style="width:16px;display:inline-block;"> </span><a href="position__optimization__test_8h_source.html"><span class="icondoc"></span></a><a class="el" href="position__optimization__test_8h.html" target="_self">position_optimization_test.h</a></td><td class="desc">Examples of optimization algorithms for localization systems </td></tr>
+<tr id="row_64_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </span><a href="pseudo__inverse_8h_source.html"><span class="icondoc"></span></a><a class="el" href="pseudo__inverse_8h.html" target="_self">pseudo_inverse.h</a></td><td class="desc">Compute the pseudo-inverse of a matrix </td></tr>
+<tr id="row_65_"><td class="entry"><span style="width:16px;display:inline-block;"> </span><a href="qr__common_8c_source.html"><span class="icondoc"></span></a><a class="el" href="qr__common_8c.html" target="_self">qr_common.c</a></td><td class="desc">Common definitions and implementations for the QR-decomposition. Provide necessary methods to construct Q- and R- matrices using </td></tr>
+<tr id="row_66_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </span><a href="qr__common_8h_source.html"><span class="icondoc"></span></a><a class="el" href="qr__common_8h.html" target="_self">qr_common.h</a></td><td class="desc">Common definitions and implementations for the QR-decomposition. Provide necessary methods to construct Q- and R- matrices using </td></tr>
+<tr id="row_67_"><td class="entry"><span style="width:16px;display:inline-block;"> </span><a href="qr__givens_8c_source.html"><span class="icondoc"></span></a><a class="el" href="qr__givens_8c.html" target="_self">qr_givens.c</a></td><td class="desc">Givens algorithm for the QR-decomposition. Provide necessary methods to construct Q- and R- matrices using Givens rotations. A = QR, where Q is an (m <img class="formulaInl" alt="$\times $" src="form_36.png"/> n)-matrix with orthonormal columns and R is an (n <img class="formulaInl" alt="$\times$" src="form_35.png"/> n) upper triangular matrix </td></tr>
+<tr id="row_68_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </span><a href="qr__givens_8h_source.html"><span class="icondoc"></span></a><a class="el" href="qr__givens_8h.html" target="_self">qr_givens.h</a></td><td class="desc">Givens algorithm for the QR-decomposition. Provide necessary methods to construct Q- and R- matrices using Givens rotations. A = QR, where Q is an (m <img class="formulaInl" alt="$\times$" src="form_35.png"/> n)-matrix with orthonormal columns and R is an (n <img class="formulaInl" alt="$\times$" src="form_35.png"/> n) upper triangular matrix </td></tr>
+<tr id="row_69_"><td class="entry"><span style="width:16px;display:inline-block;"> </span><a href="qr__householder_8c_source.html"><span class="icondoc"></span></a><a class="el" href="qr__householder_8c.html" target="_self">qr_householder.c</a></td><td class="desc">Householder algorithm for the QR-decomposition </td></tr>
+<tr id="row_70_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </span><a href="qr__householder_8h_source.html"><span class="icondoc"></span></a><a class="el" href="qr__householder_8h.html" target="_self">qr_householder.h</a></td><td class="desc">Householder algorithm for the QR-decomposition </td></tr>
+<tr id="row_71_"><td class="entry"><span style="width:16px;display:inline-block;"> </span><a href="qr__pinv__test_8c_source.html"><span class="icondoc"></span></a><a class="el" href="qr__pinv__test_8c.html" target="_self">qr_pinv_test.c</a></td><td class="desc">Examples of the QR-based pseudo-inverse algorithm </td></tr>
+<tr id="row_72_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </span><a href="qr__pinv__test_8h_source.html"><span class="icondoc"></span></a><a class="el" href="qr__pinv__test_8h.html" target="_self">qr_pinv_test.h</a></td><td class="desc">Examples of the QR-based pseudo-inverse algorithm </td></tr>
+<tr id="row_73_"><td class="entry"><span style="width:16px;display:inline-block;"> </span><a href="qr__pseudo__inverse_8c_source.html"><span class="icondoc"></span></a><a class="el" href="qr__pseudo__inverse_8c.html" target="_self">qr_pseudo_inverse.c</a></td><td class="desc">QR decomposition algorithms to compute the pseudo-inverse of a matrix </td></tr>
+<tr id="row_74_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </span><a href="qr__pseudo__inverse_8h_source.html"><span class="icondoc"></span></a><a class="el" href="qr__pseudo__inverse_8h.html" target="_self">qr_pseudo_inverse.h</a></td><td class="desc">QR decomposition algorithms to compute the pseudo-inverse of a matrix </td></tr>
+<tr id="row_75_"><td class="entry"><span style="width:16px;display:inline-block;"> </span><a href="shell__sort_8c_source.html"><span class="icondoc"></span></a><a class="el" href="shell__sort_8c.html" target="_self">shell_sort.c</a></td><td class="desc">Implement the Shell sort algorithm </td></tr>
+<tr id="row_76_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </span><a href="shell__sort_8h_source.html"><span class="icondoc"></span></a><a class="el" href="shell__sort_8h.html" target="_self">shell_sort.h</a></td><td class="desc">Implement the Shell sort algorithm </td></tr>
+<tr id="row_77_"><td class="entry"><span style="width:16px;display:inline-block;"> </span><a href="solve_8c_source.html"><span class="icondoc"></span></a><a class="el" href="solve_8c.html" target="_self">solve.c</a></td><td class="desc">Enables to solve systems of linear equations Ax = b for x </td></tr>
+<tr id="row_78_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </span><a href="solve_8h_source.html"><span class="icondoc"></span></a><a class="el" href="solve_8h.html" target="_self">solve.h</a></td><td class="desc">Enables to solve systems of linear equations Ax = b for x </td></tr>
+<tr id="row_79_"><td class="entry"><span style="width:16px;display:inline-block;"> </span><a href="solve__test_8c_source.html"><span class="icondoc"></span></a><a class="el" href="solve__test_8c.html" target="_self">solve_test.c</a></td><td class="desc">Examples of solving linear equation systems </td></tr>
+<tr id="row_80_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </span><a href="solve__test_8h_source.html"><span class="icondoc"></span></a><a class="el" href="solve__test_8h.html" target="_self">solve_test.h</a></td><td class="desc">Examples of solving linear equation systems </td></tr>
+<tr id="row_81_"><td class="entry"><span style="width:16px;display:inline-block;"> </span><a href="svd_8c_source.html"><span class="icondoc"></span></a><a class="el" href="svd_8c.html" target="_self">svd.c</a></td><td class="desc">Algorithm for the Singular Value Decomposition (SVD). Provide necessary methods to compute the compact SVD of a matrix. A = U*S*V, where U is a (m x l) orthogonal matrix, S is a (l x l) diagonal matrix, V is a (l x n) orthogonal matrix, and l = min(m,n). The SVD is computed by using the Golub–Kahan–Reinsch algorithm that works in two phases: bidiagonalization and a reduction to the diagonal form phase </td></tr>
+<tr id="row_82_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </span><a href="svd_8h_source.html"><span class="icondoc"></span></a><a class="el" href="svd_8h.html" target="_self">svd.h</a></td><td class="desc">Algorithm for the Singular Value Decomposition (SVD) </td></tr>
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+\form#0:$ \vec{f}(x_1, x_2) = \begin{bmatrix} x_1 \mathrm{e}^{x_2} - y_1, ~\hdots, x_1\mathrm{e}^{8x_2}-y_8 \end{bmatrix}^{T}, $
+\form#1:$ {J_f} = \begin{bmatrix} \frac{\partial f_1}{\partial x1} & \frac{\partial f_1}{\partial x_2} \\ \frac{\partial f_2}{\partial x1} & \frac{\partial f_2}{\partial x_2} \\ \vdots & \vdots & \\ \frac{\partial f_n}{\partial x1} & \frac{\partial f_n}{\partial x_2} \\ \end{bmatrix} = \begin{bmatrix} \mathrm{e}^{x_2} & \mathrm{e}^{x_2} x_1\\ \mathrm{e}^{2 x_2} & 2\mathrm{e}^{2x_2} x_1 \\ \vdots & \vdots & \\ \mathrm{e}^{8 x_2} & 8\mathrm{e}^{8x_2} x_1 \\ \end{bmatrix}. $
+\form#2:$ \vec{f}(x_1, x_2, x_3, x_4)= \begin{bmatrix} x_1 \sin\left( x_2 +x_3\right) +x_4 - y_1 \\ \vdots \\ x_1 \sin\left( 12 x_2 +x_3\right) +x_4 - y_{12} \end{bmatrix}. $
+\form#3:$ J_f = \left[\begin{matrix} \sin\left( x_2 +x_3\right) & x_1 \cos\left( x_2 +x_3\right) & x_1\cos\left( x_2 +x_3\right) \\ \sin\left( 2 x_2 +x_3\right) & 2 x_1 \cos\left( 2 x_2 +x_3\right) & x_1 \cos\left( 2 x_2 +x_3\right)\\ \vdots & \vdots \\ \sin\left( 12 x_2 +x_3\right) & 12 x_1 \cos\left( 12 x_2 +x_3\right) & x_1 \cos\left( 12 x_2 +x_3\right) \end{matrix}\right]. $
+\form#4:$ g(\vec{x}, t) = x_1 \mathrm{e}^{x_2t}, $
+\form#5:$\vec{x} = [x_1, x_2]^T$
+\form#6:$ \vec{x_0} = [6,.3]$
+\form#7:$ d(t_i, y_i)$
+\form#8:$ t_i $
+\form#9:$ \lbrace 1, \hdots, 8 \rbrace$
+\form#10:$ y_i$
+\form#11:$\lbrace 8.3, 11.0, 14.7, 19.7, 26.7, 35.2, 44.4, 55.9 \rbrace $
+\form#12:$ g(\vec{x}, t) = x_1 \sin\left( x_2t +x_3\right) + x_4, $
+\form#13:$\vec{x} = [x_1, x_2, x_3, x_4]^T$
+\form#14:$\vec{x_0} = [17, 0.5, 10.5, 77]$
+\form#15:$ d(t_i, y_i) $
+\form#16:$t_i $
+\form#17:$\lbrace 1, \hdots, 12 \rbrace$
+\form#18:$y_i$
+\form#19:$\lbrace 61, 65, 72, 78, 85, 90, 92, 92, 88, 81, 72, 63 \rbrace$
+\form#20:$ f_1 \left(x_1, x_2 \right) = \begin{bmatrix} x_1^3 + x_2 - 1 \\ x_2^3 - x_1 + 1 \\ \end{bmatrix} $
+\form#21:$ x_1 $
+\form#22:$ x_2 $
+\form#23:$ f_1 $
+\form#24:$ J_1 \left( x_1, x_2\right) = \begin{bmatrix} 3 \times x_1^2 & 1 \\ -1 & 3 \times x_2^2 \\ \end{bmatrix} $
+\form#25:$ J_1 $
+\form#26:$ f_2 $
+\form#27:$ f_2 \left( x_1, x_2, x_3 \right) = \begin{bmatrix} 3 x_1 - \cos\left( x_2 \times x_3 \right) - \dfrac{1}{2} \\ x_1^2 - 81 \left( x_2 + 0.1 \right)^2 + \sin(x_3) + 1.06 \\ \exp \left( -x1 \times x_2 \right) + 20 x_3 + \dfrac{10 \pi -3}{3} \\ \end{bmatrix} $
+\form#28:$ x_3 $
+\form#29:$ J_2 \left( x_1, x_2, x_3 \right) = \begin{bmatrix} 3 & x_3 \sin\left( x_2 x_3 \right) & x_2 \sin\left( x_2 x_3 \right) \\ 2 x_1 & -162 x2 - \dfrac{81}{5} & \cos(x_3) \\ -x_2 \exp\left( -x_1 x_2 \right) & -x_1 \exp\left( -x_1 x_2 \right) & 20 \end{bmatrix} $
+\form#30:$ J_2 $
+\form#31:$ f_3 $
+\form#32:$ f_3 \left( x_1, x_2, x_3 \right) = \begin{bmatrix} \exp \left( -x_1 x_2 \right) + \log \left( x_1 \right)-\exp \left( -2 \right) \\ \exp \left( x_1 \right) - \dfrac{\sqrt{x_3}}{x_1} - \exp \left( 1 \right) + 2\\ x_1 + x_2 - x_2 x_3 + 5 \\ \end{bmatrix} $
+\form#33:$ J_3 \left( x_1, x_2, x_3 \right) = \begin{bmatrix} \dfrac{1}{x_1}-x_2 \exp\left(-x_1 x_2\right) & -x_1\exp\left(-x_1 x_2\right) & 0 \\ \exp\left(x_1\right) + \dfrac{\sqrt{x_3}}{x_1^2} & 0 & \dfrac{-1}{2x_1\sqrt{x_3}} \\ 1 & 1-x_3 & -x_2 \end{bmatrix} $
+\form#34:$ J_3 $
+\form#35:$\times$
+\form#36:$\times $
+\form#37:$ \binom{n}{k} combinations $
+\form#38:$ J_f^{T} \vec{f} $
+\form#39:$ J_f $
+\form#40:$ J_f^{T} J_{f} $
+\form#41:$ J_f^{T} \vec{s} $
+\form#42:$ A \vec{x} = 0 $
+\form#43:$(x_0)$
+\form#44:$ d = x_0 - \left( x_1^{2} + x_2^{2} + x_3^{2} \right)$
+\form#45:$ A $
+\form#46:$ A \vec{x} = \vec{b}$
+\form#47:$ \vec{b} $
+\form#48:$ vec{b} $
+\form#49:$ A \vec{x_0} = \vec{b_0}$
+\form#50:$ A \vec{x_0} = \vec{b_0} $
+\form#51:$ A \vec{x_0} = 0 $
+\form#52:$ \tau $
+\form#53:$ \beta_0 $
+\form#54:$ \beta_1 $
+\form#55:$ \mu $
+\form#56:$ \rho_{\mu} $
+\form#57:$ \mu_0 $
+\form#58:$ J_f^T J_f $
+\form#59:$ J_f^{T} J_f + \mu^{(i)})^{2} I $
+\form#60:$ \sigma_{M,W} $
+\form#61:$J_f^T J_f$
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+ <td id="projectalign" style="padding-left: 0.5em;">
+ <div id="projectname">RcdMathLib_doc
+ </div>
+ <div id="projectbrief">Open Source Library for Linear and Non-linear Algebra</div>
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+<!-- Generated by Doxygen 1.8.16 -->
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+/* @license-end */
+</script>
+<div id="doc-content">
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+ onmouseover="return searchBox.OnSearchSelectShow()"
+ onmouseout="return searchBox.OnSearchSelectHide()"
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+ name="MSearchResults" id="MSearchResults">
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+</div>
+
+<div class="header">
+ <div class="summary">
+<a href="#func-members">Functions</a> </div>
+ <div class="headertitle">
+<div class="title">fsolve.c File Reference</div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Solve multi-variant nonlinear equation systems.
+<a href="#details">More...</a></p>
+<div class="textblock"><code>#include "<a class="el" href="vector_8h_source.html">vector.h</a>"</code><br />
+<code>#include "<a class="el" href="matrix_8h_source.html">matrix.h</a>"</code><br />
+<code>#include "<a class="el" href="fsolve_8h_source.html">fsolve.h</a>"</code><br />
+<code>#include "<a class="el" href="newton__raphson_8h_source.html">newton_raphson.h</a>"</code><br />
+<code>#include "<a class="el" href="damped__newton__raphson_8h_source.html">damped_newton_raphson.h</a>"</code><br />
+</div>
+<p><a href="fsolve_8c_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a690a05654627b94634ffed0893946ba7"><td class="memItemLeft" align="right" valign="top">uint8_t </td><td class="memItemRight" valign="bottom"><a class="el" href="fsolve_8c.html#a690a05654627b94634ffed0893946ba7">fsolve</a> (uint8_t f_length, uint8_t x0_length, <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x0_arr[], enum <a class="el" href="fsolve_8h.html#a806eab83c4b4a937b86ebcfd984f9206">NON_LIN_ALGORITHM</a> algo, <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> est_x_arr[], void(*get_non_lin_sys)(<a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_arr[], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> f_vec[]), void(*get_jacobian)(<a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_arr[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J[][x0_length]))</td></tr>
+<tr class="memdesc:a690a05654627b94634ffed0893946ba7"><td class="mdescLeft"> </td><td class="mdescRight">Solve systems of multi-variant nonlinear equations. <a href="fsolve_8c.html#a690a05654627b94634ffed0893946ba7">More...</a><br /></td></tr>
+<tr class="separator:a690a05654627b94634ffed0893946ba7"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Solve multi-variant nonlinear equation systems. </p>
+<p>The multi-variant nonlinear equation systems are solved using damped or the Newton–Raphson algorithms.</p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="fsolve_8c_source.html">fsolve.c</a>.</p>
+</div><h2 class="groupheader">Function Documentation</h2>
+<a id="a690a05654627b94634ffed0893946ba7"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a690a05654627b94634ffed0893946ba7">◆ </a></span>fsolve()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">uint8_t fsolve </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>f_length</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>x0_length</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>x0_arr</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">enum <a class="el" href="fsolve_8h.html#a806eab83c4b4a937b86ebcfd984f9206">NON_LIN_ALGORITHM</a> </td>
+ <td class="paramname"><em>algo</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>est_x_arr</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">void(*)(<a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_arr[], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> f_vec[]) </td>
+ <td class="paramname"><em>get_non_lin_sys</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">void(*)(<a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_arr[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J[][x0_length]) </td>
+ <td class="paramname"><em>get_jacobian</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Solve systems of multi-variant nonlinear equations. </p>
+<p>The user should provide pointers to non-linear equation systems and Jacobian functions. The user can choose between the damped or the Newton–Raphson algorithms.</p>
+<dl class="section note"><dt>Note</dt><dd>This function is generally implemented.</dd></dl>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">f_length</td><td>length of the error functions vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">x0_length</td><td>length of the start vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">x0_arr[]</td><td>start vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">algo</td><td>damped or the Newton–Raphson algorithm. </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">est_x_arr[]</td><td>estimated (solution) vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">(*get_non_lin_sys)</td><td>pointer to non-linear equation systems. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">(*get_jacobian)</td><td>pointer to the Jacobian matrix.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>required iteration number. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="fsolve_8c_source.html#l00029">29</a> of file <a class="el" href="fsolve_8c_source.html">fsolve.c</a>.</p>
+
+<p class="reference">References <a class="el" href="damped__newton__raphson_8c_source.html#l00032">damped_newton_raphson()</a>, <a class="el" href="fsolve_8h_source.html#l00032">Damped_Newton_Raphson</a>, <a class="el" href="fsolve_8h_source.html#l00031">Newton_Raphson</a>, and <a class="el" href="newton__raphson_8c_source.html#l00028">newton_raphson()</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="fsolve__test_8c_source.html#l00245">fsolve_test()</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="navelem"><a class="el" href="dir_943f05c9b1835bace55f73b49add4eb5.html">non_linear_algebra</a></li><li class="navelem"><a class="el" href="dir_96fb3641df0eaf7ad29b2346d426a787.html">solve_non_linear_equations</a></li><li class="navelem"><a class="el" href="fsolve_8c.html">fsolve.c</a></li>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
+ </ul>
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+<div class="title">fsolve.c</div> </div>
+</div><!--header-->
+<div class="contents">
+<a href="fsolve_8c.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="preprocessor">#include "<a class="code" href="vector_8h.html">vector.h</a>"</span></div>
+<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="preprocessor">#include "<a class="code" href="matrix_8h.html">matrix.h</a>"</span></div>
+<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#include "<a class="code" href="fsolve_8h.html">fsolve.h</a>"</span></div>
+<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="preprocessor">#include "<a class="code" href="newton__raphson_8h.html">newton_raphson.h</a>"</span></div>
+<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="preprocessor">#include "<a class="code" href="damped__newton__raphson_8h.html">damped_newton_raphson.h</a>"</span></div>
+<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>  </div>
+<div class="line"><a name="l00029"></a><span class="lineno"><a class="line" href="fsolve_8h.html#a690a05654627b94634ffed0893946ba7"> 29</a></span> uint8_t <a class="code" href="fsolve_8c.html#a690a05654627b94634ffed0893946ba7">fsolve</a>(uint8_t f_length, uint8_t x0_length, <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x0_arr[],</div>
+<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>  <span class="keyword">enum</span> <a class="code" href="fsolve_8h.html#a806eab83c4b4a937b86ebcfd984f9206">NON_LIN_ALGORITHM</a> algo, <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> est_x_arr[],</div>
+<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  <span class="keywordtype">void</span> (*get_non_lin_sys)(<a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_arr[], <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> f_vec[]),</div>
+<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>  <span class="keywordtype">void</span> (*get_jacobian)(<a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_arr[], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J[][x0_length]))</div>
+<div class="line"><a name="l00033"></a><span class="lineno"> 33</span> {</div>
+<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  <span class="keywordtype">double</span> tol = 1e-9;</div>
+<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  uint8_t max_it_num = 77;</div>
+<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  uint8_t iter_num = 0;</div>
+<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  </div>
+<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  <span class="keywordflow">switch</span> (algo) {</div>
+<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>  <span class="keywordflow">case</span> <a class="code" href="fsolve_8h.html#a806eab83c4b4a937b86ebcfd984f9206a44c226e2406536a0eba3ee940a4a7117">Newton_Raphson</a>:</div>
+<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>  iter_num = <a class="code" href="newton__raphson_8h.html#ac6837f695990867bd72cf23ee93961cc">newton_raphson</a>(f_length, x0_length, x0_arr, tol,</div>
+<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  max_it_num,</div>
+<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  est_x_arr, get_non_lin_sys, get_jacobian);</div>
+<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  <span class="keywordflow">break</span>;</div>
+<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  </div>
+<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  <span class="keywordflow">case</span> <a class="code" href="fsolve_8h.html#a806eab83c4b4a937b86ebcfd984f9206a99bd092827a3e3f95abceb5f6b0c1783">Damped_Newton_Raphson</a>:</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="keywordtype">double</span> min_lamda = 4.8828125e-04;</div>
+<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  iter_num = <a class="code" href="damped__newton__raphson_8c.html#a0cf3dc5e334091bc43820fa1d8e86c14">damped_newton_raphson</a>(f_length, x0_length, x0_arr,</div>
+<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  min_lamda,</div>
+<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  tol, max_it_num, est_x_arr,</div>
+<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  get_non_lin_sys, get_jacobian);</div>
+<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  <span class="keywordflow">break</span>;</div>
+<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  }</div>
+<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  </div>
+<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  <span class="keywordflow">default</span>:</div>
+<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  iter_num = <a class="code" href="newton__raphson_8h.html#ac6837f695990867bd72cf23ee93961cc">newton_raphson</a>(f_length, x0_length, x0_arr, tol,</div>
+<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  max_it_num,</div>
+<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  est_x_arr, get_non_lin_sys, get_jacobian);</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>  <span class="keywordflow">return</span> iter_num;</div>
+<div class="line"><a name="l00062"></a><span class="lineno"> 62</span> }</div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="anewton__raphson_8h_html"><div class="ttname"><a href="newton__raphson_8h.html">newton_raphson.h</a></div><div class="ttdoc">Implement the Newton–Raphson algorithm.</div></div>
+<div class="ttc" id="afsolve_8h_html"><div class="ttname"><a href="fsolve_8h.html">fsolve.h</a></div><div class="ttdoc">Solve multi-variant nonlinear equation systems.</div></div>
+<div class="ttc" id="avector_8h_html_acb41430bc5720dda7d1c45d91a0b0221"><div class="ttname"><a href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a></div><div class="ttdeci">#define vector_t</div><div class="ttdoc">Define the data type of the vector elements.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8h_source.html#l00033">vector.h:33</a></div></div>
+<div class="ttc" id="adamped__newton__raphson_8c_html_a0cf3dc5e334091bc43820fa1d8e86c14"><div class="ttname"><a href="damped__newton__raphson_8c.html#a0cf3dc5e334091bc43820fa1d8e86c14">damped_newton_raphson</a></div><div class="ttdeci">uint8_t damped_newton_raphson(uint8_t f_length, uint8_t n, vector_t x0_arr[], double min_lamda, double eps, uint8_t max_it_num, vector_t est_x_arr[], void(*get_non_lin_sys)(vector_t x_arr[], vector_t f_vec[]), void(*get_jacobian)(vector_t x_arr[], matrix_t J[][n]))</div><div class="ttdoc">Implements the damped Newton–Raphson algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="damped__newton__raphson_8c_source.html#l00032">damped_newton_raphson.c:32</a></div></div>
+<div class="ttc" id="afsolve_8h_html_a806eab83c4b4a937b86ebcfd984f9206"><div class="ttname"><a href="fsolve_8h.html#a806eab83c4b4a937b86ebcfd984f9206">NON_LIN_ALGORITHM</a></div><div class="ttdeci">NON_LIN_ALGORITHM</div><div class="ttdoc">Possible algorithms to solve multi-variant nonlinear equation systems.</div><div class="ttdef"><b>Definition:</b> <a href="fsolve_8h_source.html#l00030">fsolve.h:30</a></div></div>
+<div class="ttc" id="afsolve_8h_html_a806eab83c4b4a937b86ebcfd984f9206a99bd092827a3e3f95abceb5f6b0c1783"><div class="ttname"><a href="fsolve_8h.html#a806eab83c4b4a937b86ebcfd984f9206a99bd092827a3e3f95abceb5f6b0c1783">Damped_Newton_Raphson</a></div><div class="ttdoc">Damped Newton–Raphson algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="fsolve_8h_source.html#l00032">fsolve.h:32</a></div></div>
+<div class="ttc" id="amatrix_8h_html"><div class="ttname"><a href="matrix_8h.html">matrix.h</a></div><div class="ttdoc">Matrix computations.</div></div>
+<div class="ttc" id="adamped__newton__raphson_8h_html"><div class="ttname"><a href="damped__newton__raphson_8h.html">damped_newton_raphson.h</a></div><div class="ttdoc">Implement the damped Newton–Raphson algorithm.</div></div>
+<div class="ttc" id="anewton__raphson_8h_html_ac6837f695990867bd72cf23ee93961cc"><div class="ttname"><a href="newton__raphson_8h.html#ac6837f695990867bd72cf23ee93961cc">newton_raphson</a></div><div class="ttdeci">uint8_t newton_raphson(uint8_t f_length, uint8_t n, vector_t x0_arr[], double eps, uint8_t max_it_num, vector_t est_x_arr[], void(*get_non_lin_sys)(vector_t x_arr[], vector_t f_vec[]), void(*get_jacobian)(vector_t x_arr[], matrix_t J[][n]))</div><div class="ttdoc">Implements the Newton–Raphson algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="newton__raphson_8c_source.html#l00028">newton_raphson.c:28</a></div></div>
+<div class="ttc" id="afsolve_8h_html_a806eab83c4b4a937b86ebcfd984f9206a44c226e2406536a0eba3ee940a4a7117"><div class="ttname"><a href="fsolve_8h.html#a806eab83c4b4a937b86ebcfd984f9206a44c226e2406536a0eba3ee940a4a7117">Newton_Raphson</a></div><div class="ttdoc">Newton–Raphson algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="fsolve_8h_source.html#l00031">fsolve.h:31</a></div></div>
+<div class="ttc" id="amatrix_8h_html_af38ac6b76d645fea9abd6caeb4d9dd31"><div class="ttname"><a href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a></div><div class="ttdeci">#define matrix_t</div><div class="ttdoc">Define the data type of the matrix elements.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8h_source.html#l00038">matrix.h:38</a></div></div>
+<div class="ttc" id="avector_8h_html"><div class="ttname"><a href="vector_8h.html">vector.h</a></div><div class="ttdoc">Vector computations.</div></div>
+<div class="ttc" id="afsolve_8c_html_a690a05654627b94634ffed0893946ba7"><div class="ttname"><a href="fsolve_8c.html#a690a05654627b94634ffed0893946ba7">fsolve</a></div><div class="ttdeci">uint8_t fsolve(uint8_t f_length, uint8_t x0_length, vector_t x0_arr[], enum NON_LIN_ALGORITHM algo, vector_t est_x_arr[], void(*get_non_lin_sys)(vector_t x_arr[], vector_t f_vec[]), void(*get_jacobian)(vector_t x_arr[], matrix_t J[][x0_length]))</div><div class="ttdoc">Solve systems of multi-variant nonlinear equations.</div><div class="ttdef"><b>Definition:</b> <a href="fsolve_8c_source.html#l00029">fsolve.c:29</a></div></div>
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
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+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
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+ <td id="projectalign" style="padding-left: 0.5em;">
+ <div id="projectname">RcdMathLib_doc
+ </div>
+ <div id="projectbrief">Open Source Library for Linear and Non-linear Algebra</div>
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+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.16 -->
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+/* @license-end */
+</script>
+<div id="doc-content">
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+ onmouseover="return searchBox.OnSearchSelectShow()"
+ onmouseout="return searchBox.OnSearchSelectHide()"
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+
+<!-- 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="#enum-members">Enumerations</a> |
+<a href="#func-members">Functions</a> </div>
+ <div class="headertitle">
+<div class="title">fsolve.h File Reference<div class="ingroups"><a class="el" href="group__non__linear__algebra.html">NON_LINEAR_ALGEBRA</a> » <a class="el" href="group__solve__non__linear__equations.html">SOLVE_NON_LINEAR_EQUATIONS</a></div></div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Solve multi-variant nonlinear equation systems.
+<a href="#details">More...</a></p>
+
+<p><a href="fsolve_8h_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="enum-members"></a>
+Enumerations</h2></td></tr>
+<tr class="memitem:a806eab83c4b4a937b86ebcfd984f9206"><td class="memItemLeft" align="right" valign="top">enum  </td><td class="memItemRight" valign="bottom"><a class="el" href="fsolve_8h.html#a806eab83c4b4a937b86ebcfd984f9206">NON_LIN_ALGORITHM</a> { <a class="el" href="fsolve_8h.html#a806eab83c4b4a937b86ebcfd984f9206a44c226e2406536a0eba3ee940a4a7117">Newton_Raphson</a>,
+<a class="el" href="fsolve_8h.html#a806eab83c4b4a937b86ebcfd984f9206a99bd092827a3e3f95abceb5f6b0c1783">Damped_Newton_Raphson</a>
+ }</td></tr>
+<tr class="memdesc:a806eab83c4b4a937b86ebcfd984f9206"><td class="mdescLeft"> </td><td class="mdescRight">Possible algorithms to solve multi-variant nonlinear equation systems. <a href="fsolve_8h.html#a806eab83c4b4a937b86ebcfd984f9206">More...</a><br /></td></tr>
+<tr class="separator:a806eab83c4b4a937b86ebcfd984f9206"><td class="memSeparator" colspan="2"> </td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a690a05654627b94634ffed0893946ba7"><td class="memItemLeft" align="right" valign="top">uint8_t </td><td class="memItemRight" valign="bottom"><a class="el" href="fsolve_8h.html#a690a05654627b94634ffed0893946ba7">fsolve</a> (uint8_t f_length, uint8_t x0_length, <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x0_arr[], enum <a class="el" href="fsolve_8h.html#a806eab83c4b4a937b86ebcfd984f9206">NON_LIN_ALGORITHM</a> algo, <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> est_x_arr[], void(*get_non_lin_sys)(<a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_arr[], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> f_vec[]), void(*get_jacobian)(<a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_arr[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J[][x0_length]))</td></tr>
+<tr class="memdesc:a690a05654627b94634ffed0893946ba7"><td class="mdescLeft"> </td><td class="mdescRight">Solve systems of multi-variant nonlinear equations. <a href="fsolve_8h.html#a690a05654627b94634ffed0893946ba7">More...</a><br /></td></tr>
+<tr class="separator:a690a05654627b94634ffed0893946ba7"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Solve multi-variant nonlinear equation systems. </p>
+<p>The multi-variant nonlinear equation systems are solved using damped or the Newton–Raphson algorithms.</p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="fsolve_8h_source.html">fsolve.h</a>.</p>
+</div><h2 class="groupheader">Enumeration Type Documentation</h2>
+<a id="a806eab83c4b4a937b86ebcfd984f9206"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a806eab83c4b4a937b86ebcfd984f9206">◆ </a></span>NON_LIN_ALGORITHM</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">enum <a class="el" href="fsolve_8h.html#a806eab83c4b4a937b86ebcfd984f9206">NON_LIN_ALGORITHM</a></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Possible algorithms to solve multi-variant nonlinear equation systems. </p>
+<table class="fieldtable">
+<tr><th colspan="2">Enumerator</th></tr><tr><td class="fieldname"><a id="a806eab83c4b4a937b86ebcfd984f9206a44c226e2406536a0eba3ee940a4a7117"></a>Newton_Raphson </td><td class="fielddoc"><p>Newton–Raphson algorithm. </p>
+</td></tr>
+<tr><td class="fieldname"><a id="a806eab83c4b4a937b86ebcfd984f9206a99bd092827a3e3f95abceb5f6b0c1783"></a>Damped_Newton_Raphson </td><td class="fielddoc"><p>Damped Newton–Raphson algorithm. </p>
+</td></tr>
+</table>
+
+<p class="definition">Definition at line <a class="el" href="fsolve_8h_source.html#l00030">30</a> of file <a class="el" href="fsolve_8h_source.html">fsolve.h</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Function Documentation</h2>
+<a id="a690a05654627b94634ffed0893946ba7"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a690a05654627b94634ffed0893946ba7">◆ </a></span>fsolve()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">uint8_t fsolve </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>f_length</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>x0_length</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>x0_arr</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">enum <a class="el" href="fsolve_8h.html#a806eab83c4b4a937b86ebcfd984f9206">NON_LIN_ALGORITHM</a> </td>
+ <td class="paramname"><em>algo</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>est_x_arr</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">void(*)(<a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_arr[], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> f_vec[]) </td>
+ <td class="paramname"><em>get_non_lin_sys</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">void(*)(<a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_arr[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J[][x0_length]) </td>
+ <td class="paramname"><em>get_jacobian</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Solve systems of multi-variant nonlinear equations. </p>
+<p>The user should provide pointers to non-linear equation systems and Jacobian functions. The user can choose between the damped or the Newton–Raphson algorithms.</p>
+<dl class="section note"><dt>Note</dt><dd>This function is generally implemented.</dd></dl>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">f_length</td><td>length of the error functions vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">x0_length</td><td>length of the start vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">x0_arr[]</td><td>start vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">algo</td><td>damped or the Newton–Raphson algorithm. </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">est_x_arr[]</td><td>estimated (solution) vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">(*get_non_lin_sys)</td><td>pointer to non-linear equation systems. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">(*get_jacobian)</td><td>pointer to the Jacobian matrix.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>required iteration number. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="fsolve_8c_source.html#l00029">29</a> of file <a class="el" href="fsolve_8c_source.html">fsolve.c</a>.</p>
+
+<p class="reference">References <a class="el" href="damped__newton__raphson_8c_source.html#l00032">damped_newton_raphson()</a>, <a class="el" href="fsolve_8h_source.html#l00032">Damped_Newton_Raphson</a>, <a class="el" href="fsolve_8h_source.html#l00031">Newton_Raphson</a>, and <a class="el" href="newton__raphson_8c_source.html#l00028">newton_raphson()</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="fsolve__test_8c_source.html#l00245">fsolve_test()</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="navelem"><a class="el" href="dir_943f05c9b1835bace55f73b49add4eb5.html">non_linear_algebra</a></li><li class="navelem"><a class="el" href="dir_96fb3641df0eaf7ad29b2346d426a787.html">solve_non_linear_equations</a></li><li class="navelem"><a class="el" href="dir_11810571c148016bdf8359f21ff128b1.html">include</a></li><li class="navelem"><a class="el" href="fsolve_8h.html">fsolve.h</a></li>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
+ </ul>
+</div>
+</body>
+</html>
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+var fsolve_8h =
+[
+ [ "NON_LIN_ALGORITHM", "fsolve_8h.html#a806eab83c4b4a937b86ebcfd984f9206", [
+ [ "Newton_Raphson", "fsolve_8h.html#a806eab83c4b4a937b86ebcfd984f9206a44c226e2406536a0eba3ee940a4a7117", null ],
+ [ "Damped_Newton_Raphson", "fsolve_8h.html#a806eab83c4b4a937b86ebcfd984f9206a99bd092827a3e3f95abceb5f6b0c1783", null ]
+ ] ],
+ [ "fsolve", "fsolve_8h.html#a690a05654627b94634ffed0893946ba7", null ]
+];
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+<!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 1.8.16"/>
+<meta name="viewport" content="width=device-width, initial-scale=1"/>
+<title>RcdMathLib_doc: fsolve.h Source File</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
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+<div class="title">fsolve.h</div> </div>
+</div><!--header-->
+<div class="contents">
+<a href="fsolve_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="preprocessor">#ifndef FSOLVE_H_</span></div>
+<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#define FSOLVE_H_</span></div>
+<div class="line"><a name="l00026"></a><span class="lineno"> 26</span>  </div>
+<div class="line"><a name="l00030"></a><span class="lineno"><a class="line" href="fsolve_8h.html#a806eab83c4b4a937b86ebcfd984f9206"> 30</a></span> <span class="keyword">enum</span> <a class="code" href="fsolve_8h.html#a806eab83c4b4a937b86ebcfd984f9206">NON_LIN_ALGORITHM</a> {</div>
+<div class="line"><a name="l00031"></a><span class="lineno"><a class="line" href="fsolve_8h.html#a806eab83c4b4a937b86ebcfd984f9206a44c226e2406536a0eba3ee940a4a7117"> 31</a></span>  <a class="code" href="fsolve_8h.html#a806eab83c4b4a937b86ebcfd984f9206a44c226e2406536a0eba3ee940a4a7117">Newton_Raphson</a>, </div>
+<div class="line"><a name="l00032"></a><span class="lineno"><a class="line" href="fsolve_8h.html#a806eab83c4b4a937b86ebcfd984f9206a99bd092827a3e3f95abceb5f6b0c1783"> 32</a></span>  <a class="code" href="fsolve_8h.html#a806eab83c4b4a937b86ebcfd984f9206a99bd092827a3e3f95abceb5f6b0c1783">Damped_Newton_Raphson</a> </div>
+<div class="line"><a name="l00033"></a><span class="lineno"> 33</span> };</div>
+<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  </div>
+<div class="line"><a name="l00053"></a><span class="lineno"> 53</span> uint8_t <a class="code" href="fsolve_8h.html#a690a05654627b94634ffed0893946ba7">fsolve</a>(uint8_t f_length, uint8_t x0_length, <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x0_arr[],</div>
+<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  <span class="keyword">enum</span> <a class="code" href="fsolve_8h.html#a806eab83c4b4a937b86ebcfd984f9206">NON_LIN_ALGORITHM</a> algo, <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> est_x_arr[],</div>
+<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  <span class="keywordtype">void</span> (*get_non_lin_sys)(<a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_arr[], <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> f_vec[]),</div>
+<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  <span class="keywordtype">void</span> (*get_jacobian)(<a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_arr[], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J[][x0_length]));</div>
+<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  </div>
+<div class="line"><a name="l00058"></a><span class="lineno"> 58</span> <span class="preprocessor">#endif </span><span class="comment">/* FSOLVE_H_ */</span><span class="preprocessor"></span></div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="afsolve_8h_html_a690a05654627b94634ffed0893946ba7"><div class="ttname"><a href="fsolve_8h.html#a690a05654627b94634ffed0893946ba7">fsolve</a></div><div class="ttdeci">uint8_t fsolve(uint8_t f_length, uint8_t x0_length, vector_t x0_arr[], enum NON_LIN_ALGORITHM algo, vector_t est_x_arr[], void(*get_non_lin_sys)(vector_t x_arr[], vector_t f_vec[]), void(*get_jacobian)(vector_t x_arr[], matrix_t J[][x0_length]))</div><div class="ttdoc">Solve systems of multi-variant nonlinear equations.</div><div class="ttdef"><b>Definition:</b> <a href="fsolve_8c_source.html#l00029">fsolve.c:29</a></div></div>
+<div class="ttc" id="avector_8h_html_acb41430bc5720dda7d1c45d91a0b0221"><div class="ttname"><a href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a></div><div class="ttdeci">#define vector_t</div><div class="ttdoc">Define the data type of the vector elements.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8h_source.html#l00033">vector.h:33</a></div></div>
+<div class="ttc" id="afsolve_8h_html_a806eab83c4b4a937b86ebcfd984f9206"><div class="ttname"><a href="fsolve_8h.html#a806eab83c4b4a937b86ebcfd984f9206">NON_LIN_ALGORITHM</a></div><div class="ttdeci">NON_LIN_ALGORITHM</div><div class="ttdoc">Possible algorithms to solve multi-variant nonlinear equation systems.</div><div class="ttdef"><b>Definition:</b> <a href="fsolve_8h_source.html#l00030">fsolve.h:30</a></div></div>
+<div class="ttc" id="afsolve_8h_html_a806eab83c4b4a937b86ebcfd984f9206a99bd092827a3e3f95abceb5f6b0c1783"><div class="ttname"><a href="fsolve_8h.html#a806eab83c4b4a937b86ebcfd984f9206a99bd092827a3e3f95abceb5f6b0c1783">Damped_Newton_Raphson</a></div><div class="ttdoc">Damped Newton–Raphson algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="fsolve_8h_source.html#l00032">fsolve.h:32</a></div></div>
+<div class="ttc" id="afsolve_8h_html_a806eab83c4b4a937b86ebcfd984f9206a44c226e2406536a0eba3ee940a4a7117"><div class="ttname"><a href="fsolve_8h.html#a806eab83c4b4a937b86ebcfd984f9206a44c226e2406536a0eba3ee940a4a7117">Newton_Raphson</a></div><div class="ttdoc">Newton–Raphson algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="fsolve_8h_source.html#l00031">fsolve.h:31</a></div></div>
+<div class="ttc" id="amatrix_8h_html_af38ac6b76d645fea9abd6caeb4d9dd31"><div class="ttname"><a href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a></div><div class="ttdeci">#define matrix_t</div><div class="ttdoc">Define the data type of the matrix elements.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8h_source.html#l00038">matrix.h:38</a></div></div>
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+<a href="#func-members">Functions</a> </div>
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+<div class="title">fsolve_test.c File Reference</div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Examples of solving non-linear equation systems.
+<a href="#details">More...</a></p>
+<div class="textblock"><code>#include <stdio.h></code><br />
+<code>#include <stdlib.h></code><br />
+<code>#include <math.h></code><br />
+<code>#include <complex.h></code><br />
+<code>#include <float.h></code><br />
+<code>#include "<a class="el" href="vector_8h_source.html">vector.h</a>"</code><br />
+<code>#include "<a class="el" href="matrix_8h_source.html">matrix.h</a>"</code><br />
+<code>#include "<a class="el" href="damped__newton__raphson_8h_source.html">damped_newton_raphson.h</a>"</code><br />
+<code>#include "<a class="el" href="newton__raphson_8h_source.html">newton_raphson.h</a>"</code><br />
+<code>#include "<a class="el" href="fsolve_8h_source.html">fsolve.h</a>"</code><br />
+</div>
+<p><a href="fsolve__test_8c_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:aefd0d3fa000963221de289a3933b7c9b"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="fsolve__test_8c.html#aefd0d3fa000963221de289a3933b7c9b">get_non_lin_sys_f1_</a> (<a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_arr[], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> f1_vec[])</td></tr>
+<tr class="memdesc:aefd0d3fa000963221de289a3933b7c9b"><td class="mdescLeft"> </td><td class="mdescRight">The non-linear system f1. <a href="fsolve__test_8c.html#aefd0d3fa000963221de289a3933b7c9b">More...</a><br /></td></tr>
+<tr class="separator:aefd0d3fa000963221de289a3933b7c9b"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a3344cde9f5060d7ab962fbaaf1cdd88f"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="fsolve__test_8c.html#a3344cde9f5060d7ab962fbaaf1cdd88f">get_non_lin_sys_J1_</a> (<a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_arr[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J1[][2])</td></tr>
+<tr class="memdesc:a3344cde9f5060d7ab962fbaaf1cdd88f"><td class="mdescLeft"> </td><td class="mdescRight">The Jacobian matrix of the non-linear system <img class="formulaInl" alt="$ f_1 $" src="form_23.png"/>. <a href="fsolve__test_8c.html#a3344cde9f5060d7ab962fbaaf1cdd88f">More...</a><br /></td></tr>
+<tr class="separator:a3344cde9f5060d7ab962fbaaf1cdd88f"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:ae36fe8e55d180d348ef331efbbc5b908"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="fsolve__test_8c.html#ae36fe8e55d180d348ef331efbbc5b908">get_non_lin_sys_f2_</a> (<a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_arr[], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> f2_vec[])</td></tr>
+<tr class="memdesc:ae36fe8e55d180d348ef331efbbc5b908"><td class="mdescLeft"> </td><td class="mdescRight">The non-linear system <img class="formulaInl" alt="$ f_2 $" src="form_26.png"/>. <a href="fsolve__test_8c.html#ae36fe8e55d180d348ef331efbbc5b908">More...</a><br /></td></tr>
+<tr class="separator:ae36fe8e55d180d348ef331efbbc5b908"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:ab95955c80b1896b9e75a04faa4ce742e"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="fsolve__test_8c.html#ab95955c80b1896b9e75a04faa4ce742e">get_non_lin_sys_J2_</a> (<a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_arr[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J2[][3])</td></tr>
+<tr class="memdesc:ab95955c80b1896b9e75a04faa4ce742e"><td class="mdescLeft"> </td><td class="mdescRight">The Jacobian matrix of the non-linear system <img class="formulaInl" alt="$ f_2 $" src="form_26.png"/>. <a href="fsolve__test_8c.html#ab95955c80b1896b9e75a04faa4ce742e">More...</a><br /></td></tr>
+<tr class="separator:ab95955c80b1896b9e75a04faa4ce742e"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a8f8a1fe785d5304202601b95e1e6871a"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="fsolve__test_8c.html#a8f8a1fe785d5304202601b95e1e6871a">get_non_lin_sys_f3_</a> (<a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_arr[], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> f3_vec[])</td></tr>
+<tr class="memdesc:a8f8a1fe785d5304202601b95e1e6871a"><td class="mdescLeft"> </td><td class="mdescRight">The non-linear system <img class="formulaInl" alt="$ f_3 $" src="form_31.png"/>. <a href="fsolve__test_8c.html#a8f8a1fe785d5304202601b95e1e6871a">More...</a><br /></td></tr>
+<tr class="separator:a8f8a1fe785d5304202601b95e1e6871a"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a6686e4624961ca943bebb616e763a100"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="fsolve__test_8c.html#a6686e4624961ca943bebb616e763a100">get_non_lin_sys_J3_</a> (<a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_arr[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J3[][3])</td></tr>
+<tr class="memdesc:a6686e4624961ca943bebb616e763a100"><td class="mdescLeft"> </td><td class="mdescRight">The Jacobian matrix of the non-linear system <img class="formulaInl" alt="$ f_3 $" src="form_31.png"/>. <a href="fsolve__test_8c.html#a6686e4624961ca943bebb616e763a100">More...</a><br /></td></tr>
+<tr class="separator:a6686e4624961ca943bebb616e763a100"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a53bbdeb6ad57eeb4b512c4620b64cc37"><td class="memItemLeft" align="right" valign="top"><a id="a53bbdeb6ad57eeb4b512c4620b64cc37"></a>
+void </td><td class="memItemRight" valign="bottom"><a class="el" href="fsolve__test_8c.html#a53bbdeb6ad57eeb4b512c4620b64cc37">fsolve_test</a> (void)</td></tr>
+<tr class="memdesc:a53bbdeb6ad57eeb4b512c4620b64cc37"><td class="mdescLeft"> </td><td class="mdescRight">Examples of solving non-linear equation systems. <br /></td></tr>
+<tr class="separator:a53bbdeb6ad57eeb4b512c4620b64cc37"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Examples of solving non-linear equation systems. </p>
+<p>Solving non-linear equation systems examples (see <a class="el" href="fsolve_8h.html">fsolve</a> functions).</p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="fsolve__test_8c_source.html">fsolve_test.c</a>.</p>
+</div><h2 class="groupheader">Function Documentation</h2>
+<a id="aefd0d3fa000963221de289a3933b7c9b"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#aefd0d3fa000963221de289a3933b7c9b">◆ </a></span>get_non_lin_sys_f1_()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void get_non_lin_sys_f1_ </td>
+ <td>(</td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>x_arr</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>f1_vec</em>[] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>The non-linear system f1. </p>
+<p><img class="formulaInl" alt="$ f_1 \left(x_1, x_2 \right) = \begin{bmatrix} x_1^3 + x_2 - 1 \\ x_2^3 - x_1 + 1 \\ \end{bmatrix} $" src="form_20.png"/></p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">x_arr[]</td><td>pointer to the <img class="formulaInl" alt="$ x_1 $" src="form_21.png"/> and <img class="formulaInl" alt="$ x_2 $" src="form_22.png"/> values. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">f1_vec[]</td><td>pointer to the <img class="formulaInl" alt="$ f_1 $" src="form_23.png"/> function values. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="fsolve__test_8c_source.html#l00054">54</a> of file <a class="el" href="fsolve__test_8c_source.html">fsolve_test.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="fsolve__test_8c_source.html#l00245">fsolve_test()</a>.</p>
+
+</div>
+</div>
+<a id="ae36fe8e55d180d348ef331efbbc5b908"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#ae36fe8e55d180d348ef331efbbc5b908">◆ </a></span>get_non_lin_sys_f2_()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void get_non_lin_sys_f2_ </td>
+ <td>(</td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>x_arr</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>f2_vec</em>[] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>The non-linear system <img class="formulaInl" alt="$ f_2 $" src="form_26.png"/>. </p>
+<p><img class="formulaInl" alt="$ f_2 \left( x_1, x_2, x_3 \right) = \begin{bmatrix} 3 x_1 - \cos\left( x_2 \times x_3 \right) - \dfrac{1}{2} \\ x_1^2 - 81 \left( x_2 + 0.1 \right)^2 + \sin(x_3) + 1.06 \\ \exp \left( -x1 \times x_2 \right) + 20 x_3 + \dfrac{10 \pi -3}{3} \\ \end{bmatrix} $" src="form_27.png"/></p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">x_arr[]</td><td>pointer to the <img class="formulaInl" alt="$ x_1 $" src="form_21.png"/>, <img class="formulaInl" alt="$ x_2 $" src="form_22.png"/>, and <img class="formulaInl" alt="$ x_3 $" src="form_28.png"/> values. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">f2_vec[]</td><td>pointer to the <img class="formulaInl" alt="$ f_2 $" src="form_26.png"/> function values. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="fsolve__test_8c_source.html#l00110">110</a> of file <a class="el" href="fsolve__test_8c_source.html">fsolve_test.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00054">M_PI</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="fsolve__test_8c_source.html#l00245">fsolve_test()</a>.</p>
+
+</div>
+</div>
+<a id="a8f8a1fe785d5304202601b95e1e6871a"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a8f8a1fe785d5304202601b95e1e6871a">◆ </a></span>get_non_lin_sys_f3_()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void get_non_lin_sys_f3_ </td>
+ <td>(</td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>x_arr</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>f3_vec</em>[] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>The non-linear system <img class="formulaInl" alt="$ f_3 $" src="form_31.png"/>. </p>
+<p><img class="formulaInl" alt="$ f_3 \left( x_1, x_2, x_3 \right) = \begin{bmatrix} \exp \left( -x_1 x_2 \right) + \log \left( x_1 \right)-\exp \left( -2 \right) \\ \exp \left( x_1 \right) - \dfrac{\sqrt{x_3}}{x_1} - \exp \left( 1 \right) + 2\\ x_1 + x_2 - x_2 x_3 + 5 \\ \end{bmatrix} $" src="form_32.png"/></p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">x_arr[]</td><td>pointer to the <img class="formulaInl" alt="$ x_1 $" src="form_21.png"/>, <img class="formulaInl" alt="$ x_2 $" src="form_22.png"/>, and <img class="formulaInl" alt="$ x_3 $" src="form_28.png"/> values. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">f3_vec[]</td><td>pointer to the <img class="formulaInl" alt="$ f_3 $" src="form_31.png"/> function values. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="fsolve__test_8c_source.html#l00174">174</a> of file <a class="el" href="fsolve__test_8c_source.html">fsolve_test.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="fsolve__test_8c_source.html#l00245">fsolve_test()</a>.</p>
+
+</div>
+</div>
+<a id="a3344cde9f5060d7ab962fbaaf1cdd88f"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a3344cde9f5060d7ab962fbaaf1cdd88f">◆ </a></span>get_non_lin_sys_J1_()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void get_non_lin_sys_J1_ </td>
+ <td>(</td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>x_arr</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>J1</em>[][2] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>The Jacobian matrix of the non-linear system <img class="formulaInl" alt="$ f_1 $" src="form_23.png"/>. </p>
+<p><img class="formulaInl" alt="$ J_1 \left( x_1, x_2\right) = \begin{bmatrix} 3 \times x_1^2 & 1 \\ -1 & 3 \times x_2^2 \\ \end{bmatrix} $" src="form_24.png"/></p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">x_arr[]</td><td>pointer to the <img class="formulaInl" alt="$ x_1 $" src="form_21.png"/> and <img class="formulaInl" alt="$ x_2 $" src="form_22.png"/> values. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">J1[][]</td><td>pointer to the Jacobian function <img class="formulaInl" alt="$ J_1 $" src="form_25.png"/>. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="fsolve__test_8c_source.html#l00080">80</a> of file <a class="el" href="fsolve__test_8c_source.html">fsolve_test.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="fsolve__test_8c_source.html#l00245">fsolve_test()</a>.</p>
+
+</div>
+</div>
+<a id="ab95955c80b1896b9e75a04faa4ce742e"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#ab95955c80b1896b9e75a04faa4ce742e">◆ </a></span>get_non_lin_sys_J2_()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void get_non_lin_sys_J2_ </td>
+ <td>(</td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>x_arr</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>J2</em>[][3] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>The Jacobian matrix of the non-linear system <img class="formulaInl" alt="$ f_2 $" src="form_26.png"/>. </p>
+<p><img class="formulaInl" alt="$ J_2 \left( x_1, x_2, x_3 \right) = \begin{bmatrix} 3 & x_3 \sin\left( x_2 x_3 \right) & x_2 \sin\left( x_2 x_3 \right) \\ 2 x_1 & -162 x2 - \dfrac{81}{5} & \cos(x_3) \\ -x_2 \exp\left( -x_1 x_2 \right) & -x_1 \exp\left( -x_1 x_2 \right) & 20 \end{bmatrix} $" src="form_29.png"/></p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">x_arr[]</td><td>pointer to the <img class="formulaInl" alt="$ x_1 $" src="form_21.png"/>, <img class="formulaInl" alt="$ x_2 $" src="form_22.png"/>, and <img class="formulaInl" alt="$ x_3 $" src="form_28.png"/> values. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">J2[][]</td><td>pointer to the Jacobian function <img class="formulaInl" alt="$ J_2 $" src="form_30.png"/>. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="fsolve__test_8c_source.html#l00139">139</a> of file <a class="el" href="fsolve__test_8c_source.html">fsolve_test.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="fsolve__test_8c_source.html#l00245">fsolve_test()</a>.</p>
+
+</div>
+</div>
+<a id="a6686e4624961ca943bebb616e763a100"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a6686e4624961ca943bebb616e763a100">◆ </a></span>get_non_lin_sys_J3_()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void get_non_lin_sys_J3_ </td>
+ <td>(</td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>x_arr</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>J3</em>[][3] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>The Jacobian matrix of the non-linear system <img class="formulaInl" alt="$ f_3 $" src="form_31.png"/>. </p>
+<p><img class="formulaInl" alt="$ J_3 \left( x_1, x_2, x_3 \right) = \begin{bmatrix} \dfrac{1}{x_1}-x_2 \exp\left(-x_1 x_2\right) & -x_1\exp\left(-x_1 x_2\right) & 0 \\ \exp\left(x_1\right) + \dfrac{\sqrt{x_3}}{x_1^2} & 0 & \dfrac{-1}{2x_1\sqrt{x_3}} \\ 1 & 1-x_3 & -x_2 \end{bmatrix} $" src="form_33.png"/></p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">x_arr[]</td><td>pointer to the <img class="formulaInl" alt="$ x_1 $" src="form_21.png"/>, <img class="formulaInl" alt="$ x_2 $" src="form_22.png"/>, and <img class="formulaInl" alt="$ x_3 $" src="form_28.png"/> values. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">J3[][]</td><td>pointer to the Jacobian function <img class="formulaInl" alt="$ J_3 $" src="form_34.png"/>. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="fsolve__test_8c_source.html#l00210">210</a> of file <a class="el" href="fsolve__test_8c_source.html">fsolve_test.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="fsolve__test_8c_source.html#l00245">fsolve_test()</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="navelem"><a class="el" href="dir_d28a4824dc47e487b107a5db32ef43c4.html">examples</a></li><li class="navelem"><a class="el" href="dir_e8f51c8b3be94f3d6e82400eb763d9de.html">non_linear_algebra</a></li><li class="navelem"><a class="el" href="dir_c7944ce5d3d7fbd5a70a851e7cbdd521.html">solve_non_linear_equations</a></li><li class="navelem"><a class="el" href="fsolve__test_8c.html">fsolve_test.c</a></li>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
+ </ul>
+</div>
+</body>
+</html>
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+ [ "get_non_lin_sys_f2_", "fsolve__test_8c.html#ae36fe8e55d180d348ef331efbbc5b908", null ],
+ [ "get_non_lin_sys_f3_", "fsolve__test_8c.html#a8f8a1fe785d5304202601b95e1e6871a", null ],
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+ [ "get_non_lin_sys_J2_", "fsolve__test_8c.html#ab95955c80b1896b9e75a04faa4ce742e", null ],
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+<div class="title">fsolve_test.c</div> </div>
+</div><!--header-->
+<div class="contents">
+<a href="fsolve__test_8c.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="preprocessor">#include <stdio.h></span></div>
+<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="preprocessor">#include <stdlib.h></span></div>
+<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#include <math.h></span></div>
+<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="preprocessor">#include <complex.h></span></div>
+<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="preprocessor">#include <float.h></span></div>
+<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>  </div>
+<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="preprocessor">#include "<a class="code" href="vector_8h.html">vector.h</a>"</span></div>
+<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="preprocessor">#include "<a class="code" href="matrix_8h.html">matrix.h</a>"</span></div>
+<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="preprocessor">#include "<a class="code" href="damped__newton__raphson_8h.html">damped_newton_raphson.h</a>"</span></div>
+<div class="line"><a name="l00032"></a><span class="lineno"> 32</span> <span class="preprocessor">#include "<a class="code" href="newton__raphson_8h.html">newton_raphson.h</a>"</span></div>
+<div class="line"><a name="l00033"></a><span class="lineno"> 33</span> <span class="preprocessor">#include "<a class="code" href="fsolve_8h.html">fsolve.h</a>"</span></div>
+<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  </div>
+<div class="line"><a name="l00035"></a><span class="lineno"> 35</span> <span class="comment">/********************** f1 ******************************/</span></div>
+<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  </div>
+<div class="line"><a name="l00037"></a><span class="lineno"> 37</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00038"></a><span class="lineno"> 38</span> <span class="comment"> * f1(x1,x2) = [x1^3 + x2 - 1;</span></div>
+<div class="line"><a name="l00039"></a><span class="lineno"> 39</span> <span class="comment"> * x2^3 - x1 + 1]</span></div>
+<div class="line"><a name="l00040"></a><span class="lineno"> 40</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00054"></a><span class="lineno"><a class="line" href="fsolve__test_8c.html#aefd0d3fa000963221de289a3933b7c9b"> 54</a></span> <span class="keywordtype">void</span> <a class="code" href="fsolve__test_8c.html#aefd0d3fa000963221de289a3933b7c9b">get_non_lin_sys_f1_</a>(<a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_arr[], <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> f1_vec[])</div>
+<div class="line"><a name="l00055"></a><span class="lineno"> 55</span> {</div>
+<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  </div>
+<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  f1_vec[0] = pow(x_arr[0], 3) + x_arr[1] - 1;</div>
+<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  f1_vec[1] = pow(x_arr[1], 3) - x_arr[0] + 1;</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="comment">/*</span></div>
+<div class="line"><a name="l00063"></a><span class="lineno"> 63</span> <span class="comment"> * J1(x1,x2) = [3*x1^2, 1;</span></div>
+<div class="line"><a name="l00064"></a><span class="lineno"> 64</span> <span class="comment"> * -1, 3*x2^2]</span></div>
+<div class="line"><a name="l00065"></a><span class="lineno"> 65</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  </div>
+<div class="line"><a name="l00080"></a><span class="lineno"><a class="line" href="fsolve__test_8c.html#a3344cde9f5060d7ab962fbaaf1cdd88f"> 80</a></span> <span class="keywordtype">void</span> <a class="code" href="fsolve__test_8c.html#a3344cde9f5060d7ab962fbaaf1cdd88f">get_non_lin_sys_J1_</a>(<a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_arr[], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J1[][2])</div>
+<div class="line"><a name="l00081"></a><span class="lineno"> 81</span> {</div>
+<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  J1[0][0] = 3 * pow(x_arr[0], 2);</div>
+<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  J1[0][1] = 1;</div>
+<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  J1[1][0] = -1;</div>
+<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  J1[1][1] = 3 * pow(x_arr[1], 2);</div>
+<div class="line"><a name="l00086"></a><span class="lineno"> 86</span> }</div>
+<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  </div>
+<div class="line"><a name="l00088"></a><span class="lineno"> 88</span> <span class="comment">/****************************** f2 ********************************/</span></div>
+<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  </div>
+<div class="line"><a name="l00090"></a><span class="lineno"> 90</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00091"></a><span class="lineno"> 91</span> <span class="comment"> * f2(x1,x2,x3) = [3*x1-cos(x2*x3)-1/2;</span></div>
+<div class="line"><a name="l00092"></a><span class="lineno"> 92</span> <span class="comment"> * x1^2-81*(x2+0.1)^2+sin(x3)+1.06;</span></div>
+<div class="line"><a name="l00093"></a><span class="lineno"> 93</span> <span class="comment"> * exp(-x1*x2)+20*x3+(10*pi-3)/3</span></div>
+<div class="line"><a name="l00094"></a><span class="lineno"> 94</span> <span class="comment"> * ]</span></div>
+<div class="line"><a name="l00095"></a><span class="lineno"> 95</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00110"></a><span class="lineno"><a class="line" href="fsolve__test_8c.html#ae36fe8e55d180d348ef331efbbc5b908"> 110</a></span> <span class="keywordtype">void</span> <a class="code" href="fsolve__test_8c.html#ae36fe8e55d180d348ef331efbbc5b908">get_non_lin_sys_f2_</a>(<a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_arr[], <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> f2_vec[])</div>
+<div class="line"><a name="l00111"></a><span class="lineno"> 111</span> {</div>
+<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  </div>
+<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  f2_vec[0] = 3 * x_arr[0] - cos(x_arr[1] * x_arr[2]) - 0.5;</div>
+<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  f2_vec[1] = pow(x_arr[0], 2) - 81 * pow((x_arr[1] + 0.1), 2)</div>
+<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  + sin(x_arr[2]) + 1.06;</div>
+<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  f2_vec[2] = exp(-x_arr[0] * x_arr[1]) + 20 * x_arr[2]</div>
+<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  + (10 * <a class="code" href="matrix_8h.html#ae71449b1cc6e6250b91f539153a7a0d3">M_PI</a> - 3) / 3;</div>
+<div class="line"><a name="l00118"></a><span class="lineno"> 118</span> }</div>
+<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  </div>
+<div class="line"><a name="l00120"></a><span class="lineno"> 120</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00121"></a><span class="lineno"> 121</span> <span class="comment"> * [ 3, x3*sin(x2*x3), x2*sin(x2*x3)]</span></div>
+<div class="line"><a name="l00122"></a><span class="lineno"> 122</span> <span class="comment"> * Jf2 = [ 2*x1, -162*x2 - 81/5, cos(x3)]</span></div>
+<div class="line"><a name="l00123"></a><span class="lineno"> 123</span> <span class="comment"> * [ -x2*exp(-x1*x2), -x1*exp(-x1*x2), 20]</span></div>
+<div class="line"><a name="l00124"></a><span class="lineno"> 124</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00139"></a><span class="lineno"><a class="line" href="fsolve__test_8c.html#ab95955c80b1896b9e75a04faa4ce742e"> 139</a></span> <span class="keywordtype">void</span> <a class="code" href="fsolve__test_8c.html#ab95955c80b1896b9e75a04faa4ce742e">get_non_lin_sys_J2_</a>(<a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_arr[], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J2[][3])</div>
+<div class="line"><a name="l00140"></a><span class="lineno"> 140</span> {</div>
+<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  J2[0][0] = 3;</div>
+<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  J2[0][1] = x_arr[2] * sin(x_arr[1] * x_arr[2]);</div>
+<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  J2[0][2] = x_arr[1] * sin(x_arr[1] * x_arr[2]);</div>
+<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  J2[1][0] = 2 * x_arr[0];</div>
+<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  J2[1][1] = -162 * x_arr[1] - 16.2;</div>
+<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  J2[1][2] = cos(x_arr[2]);</div>
+<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>  J2[2][0] = -x_arr[1] * exp(-x_arr[0] * x_arr[1]);</div>
+<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>  J2[2][1] = -x_arr[0] * exp(-x_arr[0] * x_arr[1]);</div>
+<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  J2[2][2] = 20;</div>
+<div class="line"><a name="l00150"></a><span class="lineno"> 150</span> }</div>
+<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>  </div>
+<div class="line"><a name="l00152"></a><span class="lineno"> 152</span> <span class="comment">/****************************** f3 ********************************/</span></div>
+<div class="line"><a name="l00153"></a><span class="lineno"> 153</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00154"></a><span class="lineno"> 154</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00155"></a><span class="lineno"> 155</span> <span class="comment"> * f3(x1,x2,x3) = [exp(-x1*x2) + log(x1)-exp(-2);</span></div>
+<div class="line"><a name="l00156"></a><span class="lineno"> 156</span> <span class="comment"> * exp(x1)-sqrt(x3)/x1-exp(1)+2;</span></div>
+<div class="line"><a name="l00157"></a><span class="lineno"> 157</span> <span class="comment"> * x1 + x2 - x2*x3+5</span></div>
+<div class="line"><a name="l00158"></a><span class="lineno"> 158</span> <span class="comment"> * ]</span></div>
+<div class="line"><a name="l00159"></a><span class="lineno"> 159</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00174"></a><span class="lineno"><a class="line" href="fsolve__test_8c.html#a8f8a1fe785d5304202601b95e1e6871a"> 174</a></span> <span class="keywordtype">void</span> <a class="code" href="fsolve__test_8c.html#a8f8a1fe785d5304202601b95e1e6871a">get_non_lin_sys_f3_</a>(<a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_arr[], <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> f3_vec[])</div>
+<div class="line"><a name="l00175"></a><span class="lineno"> 175</span> {</div>
+<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>  <span class="keywordtype">double</span> complex z;</div>
+<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>  </div>
+<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>  f3_vec[0] = exp(-x_arr[0] * x_arr[1]) + log(x_arr[0]) - exp(-2);</div>
+<div class="line"><a name="l00179"></a><span class="lineno"> 179</span>  <span class="keywordflow">if</span> (x_arr[2] < 0) {</div>
+<div class="line"><a name="l00180"></a><span class="lineno"> 180</span>  z = csqrtl(x_arr[2]);</div>
+<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>  f3_vec[1] = exp(x_arr[0]) - creal(z) / x_arr[0] - exp(1) + 2;</div>
+<div class="line"><a name="l00182"></a><span class="lineno"> 182</span>  }</div>
+<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>  <span class="keywordflow">else</span> {</div>
+<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>  f3_vec[1] = exp(x_arr[0]) - sqrt(x_arr[2]) / x_arr[0] - exp(1)</div>
+<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>  + 2;</div>
+<div class="line"><a name="l00186"></a><span class="lineno"> 186</span>  }</div>
+<div class="line"><a name="l00187"></a><span class="lineno"> 187</span>  </div>
+<div class="line"><a name="l00188"></a><span class="lineno"> 188</span>  f3_vec[2] = x_arr[0] + x_arr[1] - x_arr[1] * x_arr[2] + 5;</div>
+<div class="line"><a name="l00189"></a><span class="lineno"> 189</span> }</div>
+<div class="line"><a name="l00190"></a><span class="lineno"> 190</span>  </div>
+<div class="line"><a name="l00191"></a><span class="lineno"> 191</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00192"></a><span class="lineno"> 192</span> <span class="comment"> * [ 1/x1 - x2*exp(-x1*x2), -x1*exp(-x1*x2), 0]</span></div>
+<div class="line"><a name="l00193"></a><span class="lineno"> 193</span> <span class="comment"> * Jf3 = [ exp(x1) + x3^(1/2)/x1^2, 0, -1/(2*x1*x3^(1/2))]</span></div>
+<div class="line"><a name="l00194"></a><span class="lineno"> 194</span> <span class="comment"> * [ 1, 1 - x3, -x2]</span></div>
+<div class="line"><a name="l00195"></a><span class="lineno"> 195</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00210"></a><span class="lineno"><a class="line" href="fsolve__test_8c.html#a6686e4624961ca943bebb616e763a100"> 210</a></span> <span class="keywordtype">void</span> <a class="code" href="fsolve__test_8c.html#a6686e4624961ca943bebb616e763a100">get_non_lin_sys_J3_</a>(<a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_arr[], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J3[][3])</div>
+<div class="line"><a name="l00211"></a><span class="lineno"> 211</span> {</div>
+<div class="line"><a name="l00212"></a><span class="lineno"> 212</span>  <span class="keywordtype">double</span> complex z;</div>
+<div class="line"><a name="l00213"></a><span class="lineno"> 213</span>  </div>
+<div class="line"><a name="l00214"></a><span class="lineno"> 214</span>  J3[0][0] = 1 / x_arr[0] - x_arr[1] * exp(-x_arr[0] * x_arr[1]);</div>
+<div class="line"><a name="l00215"></a><span class="lineno"> 215</span>  J3[0][1] = -x_arr[0] * exp(-x_arr[0] * x_arr[1]);</div>
+<div class="line"><a name="l00216"></a><span class="lineno"> 216</span>  J3[0][2] = 0;</div>
+<div class="line"><a name="l00217"></a><span class="lineno"> 217</span>  <span class="keywordflow">if</span> (x_arr[2] < 0) {</div>
+<div class="line"><a name="l00218"></a><span class="lineno"> 218</span>  z = csqrtl(x_arr[2]);</div>
+<div class="line"><a name="l00219"></a><span class="lineno"> 219</span>  J3[1][0] = exp(x_arr[0]) + creal(z) / pow(x_arr[0], 2);</div>
+<div class="line"><a name="l00220"></a><span class="lineno"> 220</span>  }</div>
+<div class="line"><a name="l00221"></a><span class="lineno"> 221</span>  <span class="keywordflow">else</span> {</div>
+<div class="line"><a name="l00222"></a><span class="lineno"> 222</span>  J3[1][0] = exp(x_arr[0]) + sqrt(x_arr[2]) / pow(x_arr[0], 2);</div>
+<div class="line"><a name="l00223"></a><span class="lineno"> 223</span>  }</div>
+<div class="line"><a name="l00224"></a><span class="lineno"> 224</span>  J3[1][1] = 0;</div>
+<div class="line"><a name="l00225"></a><span class="lineno"> 225</span>  <span class="keywordflow">if</span> (x_arr[2] < 0) {</div>
+<div class="line"><a name="l00226"></a><span class="lineno"> 226</span>  z = csqrtl(x_arr[2]);</div>
+<div class="line"><a name="l00227"></a><span class="lineno"> 227</span>  <span class="keywordflow">if</span> ((x_arr[0] == 0) || (creal(z) == 0)) {</div>
+<div class="line"><a name="l00228"></a><span class="lineno"> 228</span>  <span class="comment">//J3[1][2] = -1;</span></div>
+<div class="line"><a name="l00229"></a><span class="lineno"> 229</span>  J3[1][2] = -DBL_MAX;</div>
+<div class="line"><a name="l00230"></a><span class="lineno"> 230</span>  }</div>
+<div class="line"><a name="l00231"></a><span class="lineno"> 231</span>  <span class="keywordflow">else</span> {</div>
+<div class="line"><a name="l00232"></a><span class="lineno"> 232</span>  J3[1][2] = -1 / (2 * x_arr[0] * creal(z));</div>
+<div class="line"><a name="l00233"></a><span class="lineno"> 233</span>  }</div>
+<div class="line"><a name="l00234"></a><span class="lineno"> 234</span>  </div>
+<div class="line"><a name="l00235"></a><span class="lineno"> 235</span>  }</div>
+<div class="line"><a name="l00236"></a><span class="lineno"> 236</span>  <span class="keywordflow">else</span> {</div>
+<div class="line"><a name="l00237"></a><span class="lineno"> 237</span>  J3[1][2] = -1 / (2 * x_arr[0] * sqrt(x_arr[2]));</div>
+<div class="line"><a name="l00238"></a><span class="lineno"> 238</span>  }</div>
+<div class="line"><a name="l00239"></a><span class="lineno"> 239</span>  </div>
+<div class="line"><a name="l00240"></a><span class="lineno"> 240</span>  J3[2][0] = 1;</div>
+<div class="line"><a name="l00241"></a><span class="lineno"> 241</span>  J3[2][1] = 1 - x_arr[2];</div>
+<div class="line"><a name="l00242"></a><span class="lineno"> 242</span>  J3[2][2] = -x_arr[1];</div>
+<div class="line"><a name="l00243"></a><span class="lineno"> 243</span> }</div>
+<div class="line"><a name="l00244"></a><span class="lineno"> 244</span>  </div>
+<div class="line"><a name="l00245"></a><span class="lineno"><a class="line" href="fsolve__test_8h.html#a53bbdeb6ad57eeb4b512c4620b64cc37"> 245</a></span> <span class="keywordtype">void</span> <a class="code" href="fsolve__test_8c.html#a53bbdeb6ad57eeb4b512c4620b64cc37">fsolve_test</a>(<span class="keywordtype">void</span>)</div>
+<div class="line"><a name="l00246"></a><span class="lineno"> 246</span> {</div>
+<div class="line"><a name="l00247"></a><span class="lineno"> 247</span>  puts(<span class="stringliteral">"############ Test Solve Non-linear Algebra Module ############"</span>);</div>
+<div class="line"><a name="l00248"></a><span class="lineno"> 248</span>  puts(</div>
+<div class="line"><a name="l00249"></a><span class="lineno"> 249</span>  <span class="stringliteral">"\n******************************* f1 ******************************"</span>);</div>
+<div class="line"><a name="l00250"></a><span class="lineno"> 250</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> f1_vec[2];</div>
+<div class="line"><a name="l00251"></a><span class="lineno"> 251</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x1_arr[2] = { 3, 2 };</div>
+<div class="line"><a name="l00252"></a><span class="lineno"> 252</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J1[2][2];</div>
+<div class="line"><a name="l00253"></a><span class="lineno"> 253</span>  <a class="code" href="fsolve__test_8c.html#aefd0d3fa000963221de289a3933b7c9b">get_non_lin_sys_f1_</a>(x1_arr, f1_vec);</div>
+<div class="line"><a name="l00254"></a><span class="lineno"> 254</span>  <a class="code" href="fsolve__test_8c.html#a3344cde9f5060d7ab962fbaaf1cdd88f">get_non_lin_sys_J1_</a>(x1_arr, J1);</div>
+<div class="line"><a name="l00255"></a><span class="lineno"> 255</span>  uint8_t f1_length = 2;</div>
+<div class="line"><a name="l00256"></a><span class="lineno"> 256</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x0_arr1[2] = { .5, .5 };</div>
+<div class="line"><a name="l00257"></a><span class="lineno"> 257</span>  uint8_t n = 2;</div>
+<div class="line"><a name="l00258"></a><span class="lineno"> 258</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> est_x1[n];</div>
+<div class="line"><a name="l00259"></a><span class="lineno"> 259</span>  uint8_t iter_num;</div>
+<div class="line"><a name="l00260"></a><span class="lineno"> 260</span>  <span class="keyword">enum</span> <a class="code" href="fsolve_8h.html#a806eab83c4b4a937b86ebcfd984f9206">NON_LIN_ALGORITHM</a> algo;</div>
+<div class="line"><a name="l00261"></a><span class="lineno"> 261</span>  </div>
+<div class="line"><a name="l00262"></a><span class="lineno"> 262</span>  algo = <a class="code" href="fsolve_8h.html#a806eab83c4b4a937b86ebcfd984f9206a44c226e2406536a0eba3ee940a4a7117">Newton_Raphson</a>;</div>
+<div class="line"><a name="l00263"></a><span class="lineno"> 263</span>  iter_num = <a class="code" href="fsolve_8c.html#a690a05654627b94634ffed0893946ba7">fsolve</a>(f1_length, n, x0_arr1, algo, est_x1,</div>
+<div class="line"><a name="l00264"></a><span class="lineno"> 264</span>  &<a class="code" href="fsolve__test_8c.html#aefd0d3fa000963221de289a3933b7c9b">get_non_lin_sys_f1_</a>, &<a class="code" href="fsolve__test_8c.html#a3344cde9f5060d7ab962fbaaf1cdd88f">get_non_lin_sys_J1_</a>);</div>
+<div class="line"><a name="l00265"></a><span class="lineno"> 265</span> <span class="comment">// iter_num = newton_raphson(f1_length, n, x0_arr1, eps, max_it_num, est_x1,</span></div>
+<div class="line"><a name="l00266"></a><span class="lineno"> 266</span> <span class="comment">// &get_non_lin_sys_f1_, &get_non_lin_sys_J1_);</span></div>
+<div class="line"><a name="l00267"></a><span class="lineno"> 267</span>  printf(<span class="stringliteral">"iter_num = %u\nx1 = "</span>, iter_num);</div>
+<div class="line"><a name="l00268"></a><span class="lineno"> 268</span>  <a class="code" href="vector_8h.html#ab2827264910e858f238868695a92db4b">vector_flex_print</a>(n, est_x1, 3, 3);</div>
+<div class="line"><a name="l00269"></a><span class="lineno"> 269</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00270"></a><span class="lineno"> 270</span>  <a class="code" href="fsolve__test_8c.html#aefd0d3fa000963221de289a3933b7c9b">get_non_lin_sys_f1_</a>(est_x1, f1_vec);</div>
+<div class="line"><a name="l00271"></a><span class="lineno"> 271</span>  printf(<span class="stringliteral">"f1(x1) = "</span>);</div>
+<div class="line"><a name="l00272"></a><span class="lineno"> 272</span>  <a class="code" href="vector_8h.html#ab2827264910e858f238868695a92db4b">vector_flex_print</a>(f1_length, f1_vec, 3, 3);</div>
+<div class="line"><a name="l00273"></a><span class="lineno"> 273</span>  </div>
+<div class="line"><a name="l00274"></a><span class="lineno"> 274</span>  puts(<span class="stringliteral">"\nDamped Newton"</span>);</div>
+<div class="line"><a name="l00275"></a><span class="lineno"> 275</span>  iter_num = 0;</div>
+<div class="line"><a name="l00276"></a><span class="lineno"> 276</span>  <a class="code" href="vector_8h.html#a758d38ad9623aa8c385bce765a3b7d17">vector_clear</a>(n, est_x1);</div>
+<div class="line"><a name="l00277"></a><span class="lineno"> 277</span>  <a class="code" href="vector_8h.html#a758d38ad9623aa8c385bce765a3b7d17">vector_clear</a>(f1_length, f1_vec);</div>
+<div class="line"><a name="l00278"></a><span class="lineno"> 278</span>  algo = <a class="code" href="fsolve_8h.html#a806eab83c4b4a937b86ebcfd984f9206a99bd092827a3e3f95abceb5f6b0c1783">Damped_Newton_Raphson</a>;</div>
+<div class="line"><a name="l00279"></a><span class="lineno"> 279</span>  iter_num = <a class="code" href="fsolve_8c.html#a690a05654627b94634ffed0893946ba7">fsolve</a>(f1_length, n, x0_arr1, algo, est_x1,</div>
+<div class="line"><a name="l00280"></a><span class="lineno"> 280</span>  &<a class="code" href="fsolve__test_8c.html#aefd0d3fa000963221de289a3933b7c9b">get_non_lin_sys_f1_</a>, &<a class="code" href="fsolve__test_8c.html#a3344cde9f5060d7ab962fbaaf1cdd88f">get_non_lin_sys_J1_</a>);</div>
+<div class="line"><a name="l00281"></a><span class="lineno"> 281</span>  printf(<span class="stringliteral">"iter_num = %u\nx1 = "</span>, iter_num);</div>
+<div class="line"><a name="l00282"></a><span class="lineno"> 282</span>  <a class="code" href="vector_8h.html#ab2827264910e858f238868695a92db4b">vector_flex_print</a>(n, est_x1, 3, 3);</div>
+<div class="line"><a name="l00283"></a><span class="lineno"> 283</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00284"></a><span class="lineno"> 284</span>  <a class="code" href="fsolve__test_8c.html#aefd0d3fa000963221de289a3933b7c9b">get_non_lin_sys_f1_</a>(est_x1, f1_vec);</div>
+<div class="line"><a name="l00285"></a><span class="lineno"> 285</span>  printf(<span class="stringliteral">"f1(x1) = "</span>);</div>
+<div class="line"><a name="l00286"></a><span class="lineno"> 286</span>  <a class="code" href="vector_8h.html#ab2827264910e858f238868695a92db4b">vector_flex_print</a>(f1_length, f1_vec, 3, 3);</div>
+<div class="line"><a name="l00287"></a><span class="lineno"> 287</span>  </div>
+<div class="line"><a name="l00288"></a><span class="lineno"> 288</span>  puts(</div>
+<div class="line"><a name="l00289"></a><span class="lineno"> 289</span>  <span class="stringliteral">"/\n******************************** f2 ******************************/"</span>);</div>
+<div class="line"><a name="l00290"></a><span class="lineno"> 290</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> f2_vec[3];</div>
+<div class="line"><a name="l00291"></a><span class="lineno"> 291</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J2[3][3];</div>
+<div class="line"><a name="l00292"></a><span class="lineno"> 292</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x2_arr[3] = { 0.1, 0.2, 0.3 };</div>
+<div class="line"><a name="l00293"></a><span class="lineno"> 293</span>  <a class="code" href="fsolve__test_8c.html#ae36fe8e55d180d348ef331efbbc5b908">get_non_lin_sys_f2_</a>(x2_arr, f2_vec);</div>
+<div class="line"><a name="l00294"></a><span class="lineno"> 294</span>  <a class="code" href="fsolve__test_8c.html#ab95955c80b1896b9e75a04faa4ce742e">get_non_lin_sys_J2_</a>(x2_arr, J2);</div>
+<div class="line"><a name="l00295"></a><span class="lineno"> 295</span>  uint8_t f2_length = 3;</div>
+<div class="line"><a name="l00296"></a><span class="lineno"> 296</span>  n = 3;</div>
+<div class="line"><a name="l00297"></a><span class="lineno"> 297</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> est_x2[n];</div>
+<div class="line"><a name="l00298"></a><span class="lineno"> 298</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x0_arr2[3] = { 1, 1, 1 };</div>
+<div class="line"><a name="l00299"></a><span class="lineno"> 299</span>  algo = <a class="code" href="fsolve_8h.html#a806eab83c4b4a937b86ebcfd984f9206a44c226e2406536a0eba3ee940a4a7117">Newton_Raphson</a>;</div>
+<div class="line"><a name="l00300"></a><span class="lineno"> 300</span>  iter_num = <a class="code" href="fsolve_8c.html#a690a05654627b94634ffed0893946ba7">fsolve</a>(f2_length, n, x0_arr2, algo, est_x2,</div>
+<div class="line"><a name="l00301"></a><span class="lineno"> 301</span>  &<a class="code" href="fsolve__test_8c.html#ae36fe8e55d180d348ef331efbbc5b908">get_non_lin_sys_f2_</a>, &<a class="code" href="fsolve__test_8c.html#ab95955c80b1896b9e75a04faa4ce742e">get_non_lin_sys_J2_</a>);</div>
+<div class="line"><a name="l00302"></a><span class="lineno"> 302</span> <span class="comment">// iter_num = newton_raphson(f2_length, n, x0_arr2, eps, max_it_num, est_x2,</span></div>
+<div class="line"><a name="l00303"></a><span class="lineno"> 303</span> <span class="comment">// &get_non_lin_sys_f2_, &get_non_lin_sys_J2_);</span></div>
+<div class="line"><a name="l00304"></a><span class="lineno"> 304</span>  printf(<span class="stringliteral">"iter_num = %u\nx2 = "</span>, iter_num);</div>
+<div class="line"><a name="l00305"></a><span class="lineno"> 305</span>  <a class="code" href="vector_8h.html#ab2827264910e858f238868695a92db4b">vector_flex_print</a>(n, est_x2, 3, 9);</div>
+<div class="line"><a name="l00306"></a><span class="lineno"> 306</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00307"></a><span class="lineno"> 307</span>  <a class="code" href="fsolve__test_8c.html#ae36fe8e55d180d348ef331efbbc5b908">get_non_lin_sys_f2_</a>(est_x2, f2_vec);</div>
+<div class="line"><a name="l00308"></a><span class="lineno"> 308</span>  printf(<span class="stringliteral">"f2(x2) = "</span>);</div>
+<div class="line"><a name="l00309"></a><span class="lineno"> 309</span>  <a class="code" href="vector_8h.html#ab2827264910e858f238868695a92db4b">vector_flex_print</a>(f2_length, f2_vec, 3, 3);</div>
+<div class="line"><a name="l00310"></a><span class="lineno"> 310</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00311"></a><span class="lineno"> 311</span>  </div>
+<div class="line"><a name="l00312"></a><span class="lineno"> 312</span>  puts(<span class="stringliteral">"\nDamped Newton"</span>);</div>
+<div class="line"><a name="l00313"></a><span class="lineno"> 313</span>  iter_num = 0;</div>
+<div class="line"><a name="l00314"></a><span class="lineno"> 314</span>  <a class="code" href="vector_8h.html#a758d38ad9623aa8c385bce765a3b7d17">vector_clear</a>(n, est_x2);</div>
+<div class="line"><a name="l00315"></a><span class="lineno"> 315</span>  <a class="code" href="vector_8h.html#a758d38ad9623aa8c385bce765a3b7d17">vector_clear</a>(f2_length, f2_vec);</div>
+<div class="line"><a name="l00316"></a><span class="lineno"> 316</span>  algo = <a class="code" href="fsolve_8h.html#a806eab83c4b4a937b86ebcfd984f9206a99bd092827a3e3f95abceb5f6b0c1783">Damped_Newton_Raphson</a>;</div>
+<div class="line"><a name="l00317"></a><span class="lineno"> 317</span>  iter_num = <a class="code" href="fsolve_8c.html#a690a05654627b94634ffed0893946ba7">fsolve</a>(f2_length, n, x0_arr2, algo, est_x2,</div>
+<div class="line"><a name="l00318"></a><span class="lineno"> 318</span>  &<a class="code" href="fsolve__test_8c.html#ae36fe8e55d180d348ef331efbbc5b908">get_non_lin_sys_f2_</a>, &<a class="code" href="fsolve__test_8c.html#ab95955c80b1896b9e75a04faa4ce742e">get_non_lin_sys_J2_</a>);</div>
+<div class="line"><a name="l00319"></a><span class="lineno"> 319</span>  printf(<span class="stringliteral">"iter_num = %u\nx2 = "</span>, iter_num);</div>
+<div class="line"><a name="l00320"></a><span class="lineno"> 320</span>  <a class="code" href="vector_8h.html#ab2827264910e858f238868695a92db4b">vector_flex_print</a>(n, est_x2, 3, 9);</div>
+<div class="line"><a name="l00321"></a><span class="lineno"> 321</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00322"></a><span class="lineno"> 322</span>  <a class="code" href="fsolve__test_8c.html#ae36fe8e55d180d348ef331efbbc5b908">get_non_lin_sys_f2_</a>(est_x2, f2_vec);</div>
+<div class="line"><a name="l00323"></a><span class="lineno"> 323</span>  printf(<span class="stringliteral">"f2(x2) = "</span>);</div>
+<div class="line"><a name="l00324"></a><span class="lineno"> 324</span>  <a class="code" href="vector_8h.html#ab2827264910e858f238868695a92db4b">vector_flex_print</a>(f2_length, f2_vec, 3, 3);</div>
+<div class="line"><a name="l00325"></a><span class="lineno"> 325</span>  </div>
+<div class="line"><a name="l00326"></a><span class="lineno"> 326</span>  puts(</div>
+<div class="line"><a name="l00327"></a><span class="lineno"> 327</span>  <span class="stringliteral">"/\n******************************** f3 ******************************/"</span>);</div>
+<div class="line"><a name="l00328"></a><span class="lineno"> 328</span>  </div>
+<div class="line"><a name="l00329"></a><span class="lineno"> 329</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> f3_vec[3];</div>
+<div class="line"><a name="l00330"></a><span class="lineno"> 330</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x3_arr[3] = { 1e1, 2e2, 3e3 };</div>
+<div class="line"><a name="l00331"></a><span class="lineno"> 331</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J3[3][3];</div>
+<div class="line"><a name="l00332"></a><span class="lineno"> 332</span>  <a class="code" href="fsolve__test_8c.html#a8f8a1fe785d5304202601b95e1e6871a">get_non_lin_sys_f3_</a>(x3_arr, f3_vec);</div>
+<div class="line"><a name="l00333"></a><span class="lineno"> 333</span>  <a class="code" href="fsolve__test_8c.html#a6686e4624961ca943bebb616e763a100">get_non_lin_sys_J3_</a>(x3_arr, J3);</div>
+<div class="line"><a name="l00334"></a><span class="lineno"> 334</span>  </div>
+<div class="line"><a name="l00335"></a><span class="lineno"> 335</span>  uint8_t f3_length = 3;</div>
+<div class="line"><a name="l00336"></a><span class="lineno"> 336</span>  n = 3;</div>
+<div class="line"><a name="l00337"></a><span class="lineno"> 337</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> est_x3[n];</div>
+<div class="line"><a name="l00338"></a><span class="lineno"> 338</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x0_arr3[3] = { 1, 1, 1 };</div>
+<div class="line"><a name="l00339"></a><span class="lineno"> 339</span>  algo = <a class="code" href="fsolve_8h.html#a806eab83c4b4a937b86ebcfd984f9206a44c226e2406536a0eba3ee940a4a7117">Newton_Raphson</a>;</div>
+<div class="line"><a name="l00340"></a><span class="lineno"> 340</span>  iter_num = <a class="code" href="fsolve_8c.html#a690a05654627b94634ffed0893946ba7">fsolve</a>(f3_length, n, x0_arr3, algo, est_x3,</div>
+<div class="line"><a name="l00341"></a><span class="lineno"> 341</span>  &<a class="code" href="fsolve__test_8c.html#a8f8a1fe785d5304202601b95e1e6871a">get_non_lin_sys_f3_</a>,</div>
+<div class="line"><a name="l00342"></a><span class="lineno"> 342</span>  &<a class="code" href="fsolve__test_8c.html#a6686e4624961ca943bebb616e763a100">get_non_lin_sys_J3_</a>);</div>
+<div class="line"><a name="l00343"></a><span class="lineno"> 343</span> <span class="comment">// iter_num = newton_raphson(f3_length, n, x0_arr3, eps, max_it_num, est_x3,</span></div>
+<div class="line"><a name="l00344"></a><span class="lineno"> 344</span> <span class="comment">// &get_non_lin_sys_f3_, &get_non_lin_sys_J3_);</span></div>
+<div class="line"><a name="l00345"></a><span class="lineno"> 345</span>  printf(<span class="stringliteral">"iter_num = %u\nx2 = "</span>, iter_num);</div>
+<div class="line"><a name="l00346"></a><span class="lineno"> 346</span>  <a class="code" href="vector_8h.html#ab2827264910e858f238868695a92db4b">vector_flex_print</a>(n, est_x3, 3, 9);</div>
+<div class="line"><a name="l00347"></a><span class="lineno"> 347</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00348"></a><span class="lineno"> 348</span>  <a class="code" href="fsolve__test_8c.html#a8f8a1fe785d5304202601b95e1e6871a">get_non_lin_sys_f3_</a>(est_x3, f3_vec);</div>
+<div class="line"><a name="l00349"></a><span class="lineno"> 349</span>  printf(<span class="stringliteral">"f3(x3) = "</span>);</div>
+<div class="line"><a name="l00350"></a><span class="lineno"> 350</span>  <a class="code" href="vector_8h.html#ab2827264910e858f238868695a92db4b">vector_flex_print</a>(f3_length, f3_vec, 3, 3);</div>
+<div class="line"><a name="l00351"></a><span class="lineno"> 351</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00352"></a><span class="lineno"> 352</span>  </div>
+<div class="line"><a name="l00353"></a><span class="lineno"> 353</span>  puts(<span class="stringliteral">"\nDamped Newton"</span>);</div>
+<div class="line"><a name="l00354"></a><span class="lineno"> 354</span>  iter_num = 0;</div>
+<div class="line"><a name="l00355"></a><span class="lineno"> 355</span>  <a class="code" href="vector_8h.html#a758d38ad9623aa8c385bce765a3b7d17">vector_clear</a>(n, est_x3);</div>
+<div class="line"><a name="l00356"></a><span class="lineno"> 356</span>  <a class="code" href="vector_8h.html#a758d38ad9623aa8c385bce765a3b7d17">vector_clear</a>(f3_length, f3_vec);</div>
+<div class="line"><a name="l00357"></a><span class="lineno"> 357</span>  iter_num = <a class="code" href="fsolve_8c.html#a690a05654627b94634ffed0893946ba7">fsolve</a>(f3_length, n, x0_arr3, algo, est_x3,</div>
+<div class="line"><a name="l00358"></a><span class="lineno"> 358</span>  &<a class="code" href="fsolve__test_8c.html#a8f8a1fe785d5304202601b95e1e6871a">get_non_lin_sys_f3_</a>,</div>
+<div class="line"><a name="l00359"></a><span class="lineno"> 359</span>  &<a class="code" href="fsolve__test_8c.html#a6686e4624961ca943bebb616e763a100">get_non_lin_sys_J3_</a>);</div>
+<div class="line"><a name="l00360"></a><span class="lineno"> 360</span>  printf(<span class="stringliteral">"iter_num = %u\nx3 = "</span>, iter_num);</div>
+<div class="line"><a name="l00361"></a><span class="lineno"> 361</span>  <a class="code" href="vector_8h.html#ab2827264910e858f238868695a92db4b">vector_flex_print</a>(n, est_x3, 3, 9);</div>
+<div class="line"><a name="l00362"></a><span class="lineno"> 362</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00363"></a><span class="lineno"> 363</span>  <a class="code" href="fsolve__test_8c.html#a8f8a1fe785d5304202601b95e1e6871a">get_non_lin_sys_f3_</a>(est_x3, f3_vec);</div>
+<div class="line"><a name="l00364"></a><span class="lineno"> 364</span>  printf(<span class="stringliteral">"f3(x3) = "</span>);</div>
+<div class="line"><a name="l00365"></a><span class="lineno"> 365</span>  <a class="code" href="vector_8h.html#ab2827264910e858f238868695a92db4b">vector_flex_print</a>(f3_length, f3_vec, 3, 3);</div>
+<div class="line"><a name="l00366"></a><span class="lineno"> 366</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00367"></a><span class="lineno"> 367</span>  </div>
+<div class="line"><a name="l00368"></a><span class="lineno"> 368</span> }</div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="anewton__raphson_8h_html"><div class="ttname"><a href="newton__raphson_8h.html">newton_raphson.h</a></div><div class="ttdoc">Implement the Newton–Raphson algorithm.</div></div>
+<div class="ttc" id="afsolve__test_8c_html_a3344cde9f5060d7ab962fbaaf1cdd88f"><div class="ttname"><a href="fsolve__test_8c.html#a3344cde9f5060d7ab962fbaaf1cdd88f">get_non_lin_sys_J1_</a></div><div class="ttdeci">void get_non_lin_sys_J1_(vector_t x_arr[], matrix_t J1[][2])</div><div class="ttdoc">The Jacobian matrix of the non-linear system .</div><div class="ttdef"><b>Definition:</b> <a href="fsolve__test_8c_source.html#l00080">fsolve_test.c:80</a></div></div>
+<div class="ttc" id="avector_8h_html_ab2827264910e858f238868695a92db4b"><div class="ttname"><a href="vector_8h.html#ab2827264910e858f238868695a92db4b">vector_flex_print</a></div><div class="ttdeci">void vector_flex_print(uint32_t length, vector_t arr[], uint8_t before_dot, uint8_t after_dot)</div><div class="ttdoc">Display the values of the vector's elements.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00284">vector.c:284</a></div></div>
+<div class="ttc" id="afsolve_8h_html"><div class="ttname"><a href="fsolve_8h.html">fsolve.h</a></div><div class="ttdoc">Solve multi-variant nonlinear equation systems.</div></div>
+<div class="ttc" id="afsolve__test_8c_html_a6686e4624961ca943bebb616e763a100"><div class="ttname"><a href="fsolve__test_8c.html#a6686e4624961ca943bebb616e763a100">get_non_lin_sys_J3_</a></div><div class="ttdeci">void get_non_lin_sys_J3_(vector_t x_arr[], matrix_t J3[][3])</div><div class="ttdoc">The Jacobian matrix of the non-linear system .</div><div class="ttdef"><b>Definition:</b> <a href="fsolve__test_8c_source.html#l00210">fsolve_test.c:210</a></div></div>
+<div class="ttc" id="avector_8h_html_acb41430bc5720dda7d1c45d91a0b0221"><div class="ttname"><a href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a></div><div class="ttdeci">#define vector_t</div><div class="ttdoc">Define the data type of the vector elements.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8h_source.html#l00033">vector.h:33</a></div></div>
+<div class="ttc" id="afsolve__test_8c_html_aefd0d3fa000963221de289a3933b7c9b"><div class="ttname"><a href="fsolve__test_8c.html#aefd0d3fa000963221de289a3933b7c9b">get_non_lin_sys_f1_</a></div><div class="ttdeci">void get_non_lin_sys_f1_(vector_t x_arr[], vector_t f1_vec[])</div><div class="ttdoc">The non-linear system f1.</div><div class="ttdef"><b>Definition:</b> <a href="fsolve__test_8c_source.html#l00054">fsolve_test.c:54</a></div></div>
+<div class="ttc" id="afsolve_8h_html_a806eab83c4b4a937b86ebcfd984f9206"><div class="ttname"><a href="fsolve_8h.html#a806eab83c4b4a937b86ebcfd984f9206">NON_LIN_ALGORITHM</a></div><div class="ttdeci">NON_LIN_ALGORITHM</div><div class="ttdoc">Possible algorithms to solve multi-variant nonlinear equation systems.</div><div class="ttdef"><b>Definition:</b> <a href="fsolve_8h_source.html#l00030">fsolve.h:30</a></div></div>
+<div class="ttc" id="afsolve_8h_html_a806eab83c4b4a937b86ebcfd984f9206a99bd092827a3e3f95abceb5f6b0c1783"><div class="ttname"><a href="fsolve_8h.html#a806eab83c4b4a937b86ebcfd984f9206a99bd092827a3e3f95abceb5f6b0c1783">Damped_Newton_Raphson</a></div><div class="ttdoc">Damped Newton–Raphson algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="fsolve_8h_source.html#l00032">fsolve.h:32</a></div></div>
+<div class="ttc" id="amatrix_8h_html"><div class="ttname"><a href="matrix_8h.html">matrix.h</a></div><div class="ttdoc">Matrix computations.</div></div>
+<div class="ttc" id="adamped__newton__raphson_8h_html"><div class="ttname"><a href="damped__newton__raphson_8h.html">damped_newton_raphson.h</a></div><div class="ttdoc">Implement the damped Newton–Raphson algorithm.</div></div>
+<div class="ttc" id="amatrix_8h_html_ae71449b1cc6e6250b91f539153a7a0d3"><div class="ttname"><a href="matrix_8h.html#ae71449b1cc6e6250b91f539153a7a0d3">M_PI</a></div><div class="ttdeci">#define M_PI</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8h_source.html#l00054">matrix.h:54</a></div></div>
+<div class="ttc" id="avector_8h_html_a758d38ad9623aa8c385bce765a3b7d17"><div class="ttname"><a href="vector_8h.html#a758d38ad9623aa8c385bce765a3b7d17">vector_clear</a></div><div class="ttdeci">void vector_clear(uint8_t size, vector_t arr[])</div><div class="ttdoc">Clear all the elements of the vector.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00032">vector.c:32</a></div></div>
+<div class="ttc" id="afsolve__test_8c_html_ab95955c80b1896b9e75a04faa4ce742e"><div class="ttname"><a href="fsolve__test_8c.html#ab95955c80b1896b9e75a04faa4ce742e">get_non_lin_sys_J2_</a></div><div class="ttdeci">void get_non_lin_sys_J2_(vector_t x_arr[], matrix_t J2[][3])</div><div class="ttdoc">The Jacobian matrix of the non-linear system .</div><div class="ttdef"><b>Definition:</b> <a href="fsolve__test_8c_source.html#l00139">fsolve_test.c:139</a></div></div>
+<div class="ttc" id="afsolve__test_8c_html_ae36fe8e55d180d348ef331efbbc5b908"><div class="ttname"><a href="fsolve__test_8c.html#ae36fe8e55d180d348ef331efbbc5b908">get_non_lin_sys_f2_</a></div><div class="ttdeci">void get_non_lin_sys_f2_(vector_t x_arr[], vector_t f2_vec[])</div><div class="ttdoc">The non-linear system .</div><div class="ttdef"><b>Definition:</b> <a href="fsolve__test_8c_source.html#l00110">fsolve_test.c:110</a></div></div>
+<div class="ttc" id="afsolve__test_8c_html_a53bbdeb6ad57eeb4b512c4620b64cc37"><div class="ttname"><a href="fsolve__test_8c.html#a53bbdeb6ad57eeb4b512c4620b64cc37">fsolve_test</a></div><div class="ttdeci">void fsolve_test(void)</div><div class="ttdoc">Examples of solving non-linear equation systems.</div><div class="ttdef"><b>Definition:</b> <a href="fsolve__test_8c_source.html#l00245">fsolve_test.c:245</a></div></div>
+<div class="ttc" id="afsolve_8h_html_a806eab83c4b4a937b86ebcfd984f9206a44c226e2406536a0eba3ee940a4a7117"><div class="ttname"><a href="fsolve_8h.html#a806eab83c4b4a937b86ebcfd984f9206a44c226e2406536a0eba3ee940a4a7117">Newton_Raphson</a></div><div class="ttdoc">Newton–Raphson algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="fsolve_8h_source.html#l00031">fsolve.h:31</a></div></div>
+<div class="ttc" id="amatrix_8h_html_af38ac6b76d645fea9abd6caeb4d9dd31"><div class="ttname"><a href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a></div><div class="ttdeci">#define matrix_t</div><div class="ttdoc">Define the data type of the matrix elements.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8h_source.html#l00038">matrix.h:38</a></div></div>
+<div class="ttc" id="afsolve__test_8c_html_a8f8a1fe785d5304202601b95e1e6871a"><div class="ttname"><a href="fsolve__test_8c.html#a8f8a1fe785d5304202601b95e1e6871a">get_non_lin_sys_f3_</a></div><div class="ttdeci">void get_non_lin_sys_f3_(vector_t x_arr[], vector_t f3_vec[])</div><div class="ttdoc">The non-linear system .</div><div class="ttdef"><b>Definition:</b> <a href="fsolve__test_8c_source.html#l00174">fsolve_test.c:174</a></div></div>
+<div class="ttc" id="avector_8h_html"><div class="ttname"><a href="vector_8h.html">vector.h</a></div><div class="ttdoc">Vector computations.</div></div>
+<div class="ttc" id="afsolve_8c_html_a690a05654627b94634ffed0893946ba7"><div class="ttname"><a href="fsolve_8c.html#a690a05654627b94634ffed0893946ba7">fsolve</a></div><div class="ttdeci">uint8_t fsolve(uint8_t f_length, uint8_t x0_length, vector_t x0_arr[], enum NON_LIN_ALGORITHM algo, vector_t est_x_arr[], void(*get_non_lin_sys)(vector_t x_arr[], vector_t f_vec[]), void(*get_jacobian)(vector_t x_arr[], matrix_t J[][x0_length]))</div><div class="ttdoc">Solve systems of multi-variant nonlinear equations.</div><div class="ttdef"><b>Definition:</b> <a href="fsolve_8c_source.html#l00029">fsolve.c:29</a></div></div>
+<!-- start footer part -->
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+ <li class="navelem"><a class="el" href="dir_d28a4824dc47e487b107a5db32ef43c4.html">examples</a></li><li class="navelem"><a class="el" href="dir_e8f51c8b3be94f3d6e82400eb763d9de.html">non_linear_algebra</a></li><li class="navelem"><a class="el" href="dir_c7944ce5d3d7fbd5a70a851e7cbdd521.html">solve_non_linear_equations</a></li><li class="navelem"><a class="el" href="fsolve__test_8c.html">fsolve_test.c</a></li>
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+<div class="header">
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+<a href="#func-members">Functions</a> </div>
+ <div class="headertitle">
+<div class="title">fsolve_test.h File Reference<div class="ingroups"><a class="el" href="group__examples.html">EXAMPLES</a></div></div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Examples of solving non-linear equation systems.
+<a href="#details">More...</a></p>
+
+<p><a href="fsolve__test_8h_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a53bbdeb6ad57eeb4b512c4620b64cc37"><td class="memItemLeft" align="right" valign="top"><a id="a53bbdeb6ad57eeb4b512c4620b64cc37"></a>
+void </td><td class="memItemRight" valign="bottom"><a class="el" href="fsolve__test_8h.html#a53bbdeb6ad57eeb4b512c4620b64cc37">fsolve_test</a> (void)</td></tr>
+<tr class="memdesc:a53bbdeb6ad57eeb4b512c4620b64cc37"><td class="mdescLeft"> </td><td class="mdescRight">Examples of solving non-linear equation systems. <br /></td></tr>
+<tr class="separator:a53bbdeb6ad57eeb4b512c4620b64cc37"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Examples of solving non-linear equation systems. </p>
+<p>Solving non-linear equation systems examples (see <a class="el" href="fsolve_8h.html">fsolve</a> functions).</p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="fsolve__test_8h_source.html">fsolve_test.h</a>.</p>
+</div></div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="navelem"><a class="el" href="dir_d28a4824dc47e487b107a5db32ef43c4.html">examples</a></li><li class="navelem"><a class="el" href="dir_e8f51c8b3be94f3d6e82400eb763d9de.html">non_linear_algebra</a></li><li class="navelem"><a class="el" href="dir_c7944ce5d3d7fbd5a70a851e7cbdd521.html">solve_non_linear_equations</a></li><li class="navelem"><a class="el" href="dir_5eb44610c4b05a35dc8627fc05b536b4.html">include</a></li><li class="navelem"><a class="el" href="fsolve__test_8h.html">fsolve_test.h</a></li>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
+ </ul>
+</div>
+</body>
+</html>
diff --git a/doc/doxygen/html/fsolve__test_8h.js b/doc/doxygen/html/fsolve__test_8h.js
new file mode 100644
index 0000000000000000000000000000000000000000..ba6d31b93d9029733a1b6dbc9f95c1bb7103039c
--- /dev/null
+++ b/doc/doxygen/html/fsolve__test_8h.js
@@ -0,0 +1,4 @@
+var fsolve__test_8h =
+[
+ [ "fsolve_test", "fsolve__test_8h.html#a53bbdeb6ad57eeb4b512c4620b64cc37", null ]
+];
\ No newline at end of file
diff --git a/doc/doxygen/html/fsolve__test_8h_source.html b/doc/doxygen/html/fsolve__test_8h_source.html
new file mode 100644
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--- /dev/null
+++ b/doc/doxygen/html/fsolve__test_8h_source.html
@@ -0,0 +1,121 @@
+<!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">
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+<meta name="generator" content="Doxygen 1.8.16"/>
+<meta name="viewport" content="width=device-width, initial-scale=1"/>
+<title>RcdMathLib_doc: fsolve_test.h Source File</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
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+<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">RcdMathLib_doc
+ </div>
+ <div id="projectbrief">Open Source Library for Linear and Non-linear Algebra</div>
+ </td>
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+</table>
+</div>
+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.16 -->
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+<script type="text/javascript">
+/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&dn=gpl-2.0.txt GPL-v2 */
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+/* @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>
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+<iframe src="javascript:void(0)" frameborder="0"
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+
+<div class="header">
+ <div class="headertitle">
+<div class="title">fsolve_test.h</div> </div>
+</div><!--header-->
+<div class="contents">
+<a href="fsolve__test_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="preprocessor">#ifndef FSOLVE_TEST_H_</span></div>
+<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#define FSOLVE_TEST_H_</span></div>
+<div class="line"><a name="l00026"></a><span class="lineno"> 26</span>  </div>
+<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="keywordtype">void</span> <a class="code" href="fsolve__test_8h.html#a53bbdeb6ad57eeb4b512c4620b64cc37">fsolve_test</a>(<span class="keywordtype">void</span>);</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="preprocessor">#endif </span><span class="comment">/* FSOLVE_TEST_H_ */</span><span class="preprocessor"></span></div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="afsolve__test_8h_html_a53bbdeb6ad57eeb4b512c4620b64cc37"><div class="ttname"><a href="fsolve__test_8h.html#a53bbdeb6ad57eeb4b512c4620b64cc37">fsolve_test</a></div><div class="ttdeci">void fsolve_test(void)</div><div class="ttdoc">Examples of solving non-linear equation systems.</div><div class="ttdef"><b>Definition:</b> <a href="fsolve__test_8c_source.html#l00245">fsolve_test.c:245</a></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_d28a4824dc47e487b107a5db32ef43c4.html">examples</a></li><li class="navelem"><a class="el" href="dir_e8f51c8b3be94f3d6e82400eb763d9de.html">non_linear_algebra</a></li><li class="navelem"><a class="el" href="dir_c7944ce5d3d7fbd5a70a851e7cbdd521.html">solve_non_linear_equations</a></li><li class="navelem"><a class="el" href="dir_5eb44610c4b05a35dc8627fc05b536b4.html">include</a></li><li class="navelem"><a class="el" href="fsolve__test_8h.html">fsolve_test.h</a></li>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
+ </ul>
+</div>
+</body>
+</html>
diff --git a/doc/doxygen/html/functions.html b/doc/doxygen/html/functions.html
new file mode 100644
index 0000000000000000000000000000000000000000..1953f998bc2210dcb0ab5314a6df4aab7ffe051a
--- /dev/null
+++ b/doc/doxygen/html/functions.html
@@ -0,0 +1,108 @@
+<!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 1.8.16"/>
+<meta name="viewport" content="width=device-width, initial-scale=1"/>
+<title>RcdMathLib_doc: Data Fields</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"/>
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+<script type="text/javascript" src="navtreedata.js"></script>
+<script type="text/javascript" src="navtree.js"></script>
+<script type="text/javascript">
+/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&dn=gpl-2.0.txt GPL-v2 */
+ $(document).ready(initResizable);
+/* @license-end */</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>
+<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">RcdMathLib_doc
+ </div>
+ <div id="projectbrief">Open Source Library for Linear and Non-linear Algebra</div>
+ </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.16 -->
+<script type="text/javascript">
+/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&dn=gpl-2.0.txt GPL-v2 */
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+/* @license-end */
+</script>
+<script type="text/javascript" src="menudata.js"></script>
+<script type="text/javascript" src="menu.js"></script>
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+/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&dn=gpl-2.0.txt GPL-v2 */
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+ initMenu('',true,false,'search.php','Search');
+ $(document).ready(function() { init_search(); });
+});
+/* @license-end */</script>
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+</div><!-- top -->
+<div id="side-nav" class="ui-resizable side-nav-resizable">
+ <div id="nav-tree">
+ <div id="nav-tree-contents">
+ <div id="nav-sync" class="sync"></div>
+ </div>
+ </div>
+ <div id="splitbar" style="-moz-user-select:none;"
+ class="ui-resizable-handle">
+ </div>
+</div>
+<script type="text/javascript">
+/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&dn=gpl-2.0.txt GPL-v2 */
+$(document).ready(function(){initNavTree('functions.html','');});
+/* @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="contents">
+<div class="textblock">Here is a list of all documented struct and union fields with links to the struct/union documentation for each field:</div><ul>
+<li>col_num
+: <a class="el" href="structmatrix__dim__t.html#aac6b6ff205184047714d5c22019bdbab">matrix_dim_t</a>
+</li>
+<li>row_num
+: <a class="el" href="structmatrix__dim__t.html#a853244a0562d43bfdcdcb704ed707721">matrix_dim_t</a>
+</li>
+</ul>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
+ </ul>
+</div>
+</body>
+</html>
diff --git a/doc/doxygen/html/functions_vars.html b/doc/doxygen/html/functions_vars.html
new file mode 100644
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--- /dev/null
+++ b/doc/doxygen/html/functions_vars.html
@@ -0,0 +1,108 @@
+<!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">
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+<meta name="generator" content="Doxygen 1.8.16"/>
+<meta name="viewport" content="width=device-width, initial-scale=1"/>
+<title>RcdMathLib_doc: Data Fields - Variables</title>
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+<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">RcdMathLib_doc
+ </div>
+ <div id="projectbrief">Open Source Library for Linear and Non-linear Algebra</div>
+ </td>
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+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.16 -->
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+ <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 */
+$(document).ready(function(){initNavTree('functions_vars.html','');});
+/* @license-end */
+</script>
+<div id="doc-content">
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+ onmouseover="return searchBox.OnSearchSelectShow()"
+ onmouseout="return searchBox.OnSearchSelectHide()"
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+<div id="MSearchResultsWindow">
+<iframe src="javascript:void(0)" frameborder="0"
+ name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="contents">
+ <ul>
+<li>col_num
+: <a class="el" href="structmatrix__dim__t.html#aac6b6ff205184047714d5c22019bdbab">matrix_dim_t</a>
+</li>
+<li>row_num
+: <a class="el" href="structmatrix__dim__t.html#a853244a0562d43bfdcdcb704ed707721">matrix_dim_t</a>
+</li>
+</ul>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
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+</html>
diff --git a/doc/doxygen/html/getting-started.html b/doc/doxygen/html/getting-started.html
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+<meta name="generator" content="Doxygen 1.8.16"/>
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+<title>RcdMathLib_doc: Getting started</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
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+$(document).ready(function(){initNavTree('getting-started.html','');});
+/* @license-end */
+</script>
+<div id="doc-content">
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+ onmouseover="return searchBox.OnSearchSelectShow()"
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+ <div class="headertitle">
+<div class="title">Getting started </div> </div>
+</div><!--header-->
+<div class="contents">
+<div class="toc"><h3>Table of Contents</h3>
+<ul><li class="level1"><a href="#downloading-RcdMathLib-code">Downloading RcdMathLib code</a></li>
+<li class="level1"><a href="#compiling-RcdMathLib">Compiling RcdMathLib</a><ul><li class="level2"><a href="#setting-up-a-toolchain-full-fledge">Setting up a toolchain for full-fledged devices</a></li>
+<li class="level2"><a href="#setting-up-a-toolchain-res-lim">Setting up a toolchain for resource-limited devices</a></li>
+<li class="level2"><a href="#the-build-system-full-fledge">The build system for full-fledged devices</a></li>
+<li class="level2"><a href="#the-build-system-res-lim">The build system for resource-limited devices</a></li>
+<li class="level2"><a href="#building-and-executing-an-example-res-lim">Building and executing an example for resource-limited devices</a></li>
+</ul>
+</li>
+</ul>
+</div>
+<div class="textblock"><dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi</dd></dl>
+<h1><a class="anchor" id="downloading-RcdMathLib-code"></a>
+Downloading RcdMathLib code</h1>
+<p>You can obtain the latest RcdMathLib code from our <a href="https://github.com/RIOT-OS/">Github</a> repository either by <a href="https://github.com/RIOT-OS/RIOT/releases">downloading the latest tarball</a> or by cloning the <a href="https://github.com/RIOT-OS/RIOT">git repository</a>.</p>
+<p>In order to clone the RIOT repository, you need the <a href="http://git-scm.com/">Git revision control system</a> and run the following command:</p>
+<div class="fragment"><div class="line">git clone git://github.com/RIOT-OS/RIOT.git</div>
+</div><!-- fragment --><h1><a class="anchor" id="compiling-RcdMathLib"></a>
+Compiling RcdMathLib</h1>
+<h2><a class="anchor" id="setting-up-a-toolchain-full-fledge"></a>
+Setting up a toolchain for full-fledged devices</h2>
+<p>RcdMathLib can be run on full-fledged devices such as a Personal Computer (PC) or a server. It can also be executed on the embedded system Raspberry Pi running an Operating System (OS) such as the Raspbian or the Ubuntu Core. For platforms based on full-fledged OSs like the Linux or Windows, we recommend the GNU Compiler Collection (GCC). We also recommend the use of the Eclipse (IDE).</p>
+<p>The PATH environment variable should be set with bin-directory of the GCC compiler. On a typical shell like bash or zsh this can be done using export, e.g.</p>
+<blockquote class="doxtable">
+<p>export PATH=${PATH}:/path/to/gcc/bin </p>
+</blockquote>
+<p>For windows, add the bin-directory to your PATH under System Properties->Advanced-> Environment Variables, e.g.</p>
+<blockquote class="doxtable">
+<p>"C:\gcc\bin" </p>
+</blockquote>
+<h2><a class="anchor" id="setting-up-a-toolchain-res-lim"></a>
+Setting up a toolchain for resource-limited devices</h2>
+<p>Depending on the hardware you want to use, you need to first install a corresponding toolchain. We recommend the use of the <a href="https://riot-os.org/">RIOT-OS</a>, since it supports 8-bit platforms (e.g. Arduino Mega 2560), 16-bit platforms (e.g. MSP430), and 32-bit platforms (e.g. ARM). The RIOT-OS is an open source IoT operating system developed at the ''Freie Universität Berlin''. In general, an OS allows the management and sharing of resources as well as the development of multi-tasking applications in a computer system. The Wiki on RIOT's Github page contains a lot of information that can help you with your platform:</p>
+<ul>
+<li><a href="https://github.com/RIOT-OS/RIOT/wiki/Family:-ARM">ARM-based platforms</a></li>
+<li><a href="https://github.com/RIOT-OS/RIOT/wiki/Family:-MSP430">TI MSP430</a></li>
+<li><a href="https://github.com/RIOT-OS/RIOT/wiki/Family%3A-ATmega">Atmel ATmega</a></li>
+<li><a href="https://github.com/RIOT-OS/RIOT/wiki/Family:-native">native</a></li>
+</ul>
+<h2><a class="anchor" id="the-build-system-full-fledge"></a>
+The build system for full-fledged devices</h2>
+<p>RcdMathLib can be built using the <a href="https://www.eclipse.org/">Eclipse IDE</a> for C/C++ Developers. The simplest way to compile and link an application with the RcdMathLib is: Firstly, to download <a href="https://git.imp.fu-berlin.de/zkasmi/test_my_lib/blob/master/RcdMathLib_eclipse_version.zip">RcdMathLib_eclipse_version.zip</a> file or to clone it:</p>
+<div class="fragment"><div class="line">git clone git@git.imp.fu-berlin.de:zkasmi/test_my_lib.git</div>
+</div><!-- fragment --><p>After cloning or downloading the RcdMathLib, the Eclipse version of the RcdMathLib can be used as follows:</p><ol type="1">
+<li>Create a workspace folder (e.g. rcd_math_lib_workspace).</li>
+<li>Start the Eclipse IDE and browse to the created workspace folder.</li>
+<li>Open File->Import->General.</li>
+<li>Select ''Existing Project into Workspace'' from the Selection Wizard.</li>
+<li>Select Next->''archive file''-->Browse.</li>
+<li>After Browsing to the <a href="https://git.imp.fu-berlin.de/zkasmi/test_my_lib/blob/master/RcdMathLib_eclipse_version.zip">RcdMathLib_eclipse_version.zip</a> file, click on Finish.</li>
+<li>Compile the whole project.</li>
+</ol>
+<p>Another method to use the RcdMathLib in the Eclipse IDE is:</p><ol type="1">
+<li>Clone the whole RcdMathLib version for full-fledged devices: <div class="fragment"><div class="line">git clone git@git.imp.fu-berlin.de:zkasmi/my_lib_full_fledged_devices.git</div>
+</div><!-- fragment --></li>
+<li>Create a new C project by choosing the project type under Executable: <code>Hello World ANSI C Project</code>, as well as the <code>Cross GCC</code> Tool-chains.</li>
+<li>Try to compile and execute the <code>Hello World ANSI C Project</code>.</li>
+<li>Copy the RcdMathLib- and the examples-directories, as well as the 'eclipse_path_includes_settings.xml' configuration file into the src-directory of your project.</li>
+<li><p class="startli">Import the 'eclipse_path_includes_settings.xml' file as follows:</p>
+<blockquote class="doxtable">
+<ul>
+<li>Open File -> Import -> C/C++ and Select ''C/C++ Project Settings'' from the Selection Wizard.</li>
+<li>Click Next->''Select Settings file''-->Browse.</li>
+<li>After Browsing to the xml-configuration file, click on Finish. </li>
+</ul>
+</blockquote>
+</li>
+<li>Compile the whole project.</li>
+<li>Optional: replace the main()-function with the main.c file of the cloned RcdMathLib version for full-fledged devices.</li>
+</ol>
+<p>Third method (intern): Set up the <a href="https://www.eclipse.org/">Eclipse IDE</a> as follows:</p><ol type="1">
+<li>Create a new C project, choose the project type under Executable: <code>Hello World ANSI C Project</code>, as well as the <code>Cross GCC</code> Tool-chains.</li>
+<li>Try to compile and execute the <code>Hello World ANSI C Project</code>.</li>
+<li>Copy the RcdMathLib-directory into the src-directory.</li>
+<li>Replace the file containing the main()-function with the main.c file of the RcdMathLib.</li>
+<li>Setting the include-paths of the modules in the Eclipse IDE: Properties/Paths and Symbols/GNU C</li>
+</ol>
+<h2><a class="anchor" id="the-build-system-res-lim"></a>
+The build system for resource-limited devices</h2>
+<p>RcdMathLib and RIOT use <a href="https://www.gnu.org/software/make/">GNU make</a> as build system. The simplest way to compile and link an application with RcdMathLib, is to set up a Makefile providing at least the following variables:</p>
+<ul>
+<li><code>APPLICATION</code>: should contain the (unique) name of your application</li>
+<li><code>BOARD</code>: specifies the platform the application should be build for by default</li>
+<li><code>RIOTBASE</code>: specifies the path to the copy of the RIOT repository (note, the <code></code> macro can be used to give a relative path)</li>
+<li><code>RCDMATHLIB</code>: specifies the path to the copy of the RcdMathLib repository (note, the <code></code> macro can be used to give a relative path)</li>
+<li><code>USEMODULE</code>: specifies the module of the RcdMathLib that you may want to use</li>
+</ul>
+<p>Additionally it has to include the <code>Makefile.include</code>, located in RcdMathLib's as well as RIOT's root directories. A minimal application Makefile looks like this:</p>
+<div class="fragment"><div class="line"># a minimal application Makefile</div>
+<div class="line">APPLICATION = mini-makefile</div>
+<div class="line">BOARD ?= native</div>
+<div class="line">RIOTBASE ?= $(CURDIR)/../RIOT</div>
+<div class="line">RCDMATHLIB ?= $(CURDIR)/../RcdMathLib</div>
+<div class="line">USEMODULE += basic_operations</div>
+<div class="line"> </div>
+<div class="line">include $(RIOTBASE)/MicroPosMath-Lib/Makefile.include</div>
+<div class="line">include $(RIOTBASE)/Makefile.include</div>
+</div><!-- fragment --><p>The <code>?=</code> operator can be used in order to allow overwriting variables from the command line. For example, the target platform can be specified from the command line as follows:</p>
+<div class="fragment"><div class="line">make BOARD=stm32f4discovery</div>
+</div><!-- fragment --><p>In this case the STM32F4 discovery board is specified. Furthermore, the basic operations sub-module is selected by the <code>USEMODULE</code> macro.</p>
+<p>Other sub-modules such as the matrix decompositions or utilities modules can be selected, e.g.:</p>
+<div class="fragment"><div class="line">USEMODULE += matrix_decompositions </div>
+<div class="line">USEMODULE += utilities </div>
+</div><!-- fragment --><p> The dependency of the RcdMathLib modules and sub-modules to each other is automatically calculated by special Makefiles located in the module directories.</p>
+<p>Besides typical targets like <code>clean</code>, <code>all</code>, or <code>doc</code>, RIOT provides the special targets <code>flash</code> and <code>term</code> to invoke the configured flashing and terminal tools for the specified platform. These targets use the variable <code>PORT</code> for the serial communication to the device. Neither this variable nor the targets <code>flash</code> and <code>term</code> are mandatory for the native port.</p>
+<p>Unless specified otherwise, make will create an elf-file as well as an Intel hex file in the <code>bin</code> folder of your application directory.</p>
+<p>Please visit the <a href="https://github.com/RIOT-OS/RIOT/wiki/The-Make-Build-System">Wiki</a> to learn more about the build system of the RIOT.</p>
+<h2><a class="anchor" id="building-and-executing-an-example-res-lim"></a>
+Building and executing an example for resource-limited devices</h2>
+<p>RcdMathLib provides a number of examples in the <code>examples/</code> directory. Every example has a README that documents its usage and its purpose. Furthermore the examples are described in the doc-directory. You can build your own application or the examples by typing</p>
+<div class="fragment"><div class="line">make BOARD=stm32f4discovery</div>
+</div><!-- fragment --><p>or</p>
+<div class="fragment"><div class="line">make all BOARD=stm32f4discovery</div>
+</div><!-- fragment --><p>into your shell.</p>
+<p>To flash the application to a board just type</p>
+<div class="fragment"><div class="line">make flash BOARD=stm32f4discovery</div>
+</div><!-- fragment --><p>You can then access the board via the serial interface:</p>
+<div class="fragment"><div class="line">make term BOARD=stm32f4discovery</div>
+</div><!-- fragment --><p>If you are using multiple boards you can use the <code>PORT</code> macro to specify the serial interface:</p>
+<div class="fragment"><div class="line">make term BOARD=stm32f4discovery PORT=/dev/ttyACM1</div>
+</div><!-- fragment --><p>We use <code>pyterm</code> as the default terminal application. It is shipped with RIOT in the <code>dist/tools/pyterm/</code> directory. If you choose to use another terminal program you can set <code>TERMPROG</code> (and if need be the <code>TERMFLAGS</code>) macros:</p>
+<div class="fragment"><div class="line">make -C examples/gnrc_networking/ term \</div>
+<div class="line"> BOARD=samr21-xpro \</div>
+<div class="line"> TERMPROG=gtkterm \</div>
+<div class="line"> TERMFLAGS="-s 115200 -p /dev/ttyACM0 -e"</div>
+</div><!-- fragment --><p>Please visit the <a href="https://github.com/RIOT-OS/RIOT/wiki">Wiki</a> to learn more about flashing devices. </p>
+</div></div><!-- contents -->
+</div><!-- PageDoc -->
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+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
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+
+<div class="header">
+ <div class="summary">
+<a href="#func-members">Functions</a> </div>
+ <div class="headertitle">
+<div class="title">givens_test.c File Reference</div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Examples of the Givens algorithm.
+<a href="#details">More...</a></p>
+<div class="textblock"><code>#include <stdio.h></code><br />
+<code>#include "<a class="el" href="qr__givens_8h_source.html">qr_givens.h</a>"</code><br />
+<code>#include "<a class="el" href="matrix_8h_source.html">matrix.h</a>"</code><br />
+</div>
+<p><a href="givens__test_8c_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a7b8199da35e2aec77e76bbb9c52a28ae"><td class="memItemLeft" align="right" valign="top"><a id="a7b8199da35e2aec77e76bbb9c52a28ae"></a>
+void </td><td class="memItemRight" valign="bottom"><a class="el" href="givens__test_8c.html#a7b8199da35e2aec77e76bbb9c52a28ae">givens_test</a> (void)</td></tr>
+<tr class="memdesc:a7b8199da35e2aec77e76bbb9c52a28ae"><td class="mdescLeft"> </td><td class="mdescRight">Examples of the Givens algorithm. <br /></td></tr>
+<tr class="separator:a7b8199da35e2aec77e76bbb9c52a28ae"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Examples of the Givens algorithm. </p>
+<p>Givens algorithm examples (see <a class="el" href="qr__givens_8h.html">qr_givens.h</a> the "Givens" approach).</p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="givens__test_8c_source.html">givens_test.c</a>.</p>
+</div></div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="navelem"><a class="el" href="dir_d28a4824dc47e487b107a5db32ef43c4.html">examples</a></li><li class="navelem"><a class="el" href="dir_bb878afedbb83074fe4b7f6b65e06747.html">linear_algebra</a></li><li class="navelem"><a class="el" href="dir_7288dc322cfbdfeb7861adfdccb1ddcd.html">matrix_decompositions</a></li><li class="navelem"><a class="el" href="givens__test_8c.html">givens_test.c</a></li>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
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+var givens__test_8c =
+[
+ [ "givens_test", "givens__test_8c.html#a7b8199da35e2aec77e76bbb9c52a28ae", null ]
+];
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+<div class="header">
+ <div class="headertitle">
+<div class="title">givens_test.c</div> </div>
+</div><!--header-->
+<div class="contents">
+<a href="givens__test_8c.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="preprocessor">#include <stdio.h></span></div>
+<div class="line"><a name="l00024"></a><span class="lineno"> 24</span>  </div>
+<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#include "<a class="code" href="qr__givens_8h.html">qr_givens.h</a>"</span></div>
+<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="preprocessor">#include "<a class="code" href="matrix_8h.html">matrix.h</a>"</span></div>
+<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>  </div>
+<div class="line"><a name="l00028"></a><span class="lineno"><a class="line" href="givens__test_8h.html#a7b8199da35e2aec77e76bbb9c52a28ae"> 28</a></span> <span class="keywordtype">void</span> <a class="code" href="givens__test_8c.html#a7b8199da35e2aec77e76bbb9c52a28ae">givens_test</a>(<span class="keywordtype">void</span>)</div>
+<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> {</div>
+<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> xj, xij;</div>
+<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  </div>
+<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>  xj = 100;</div>
+<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>  xij = 130;</div>
+<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  </div>
+<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> c_s_t_r_vec[4];</div>
+<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  <a class="code" href="qr__givens_8h.html#a53f748fbc6f8a129deb6a048d423d644">qr_givens_get_params</a>(xj, xij, c_s_t_r_vec);</div>
+<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  </div>
+<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  printf(<span class="stringliteral">"c = %7.4f\n"</span>, c_s_t_r_vec[0]);</div>
+<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>  printf(<span class="stringliteral">"s = %7.4f\n"</span>, c_s_t_r_vec[1]);</div>
+<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>  printf(<span class="stringliteral">"t = %7.4f\n"</span>, c_s_t_r_vec[2]);</div>
+<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  printf(<span class="stringliteral">"r = %7.4f\n"</span>, c_s_t_r_vec[3]);</div>
+<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  </div>
+<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  puts(<span class="stringliteral">"************ MATRIX A ************"</span>);</div>
+<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[10][5] = {</div>
+<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  { 0.8147, 0.1576, 0.6557, 0.7060, 0.4387 },</div>
+<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  { 0.9058, 0.9706, 0.0357, 0.0318, 0.3816 },</div>
+<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  { 0.1270, 0.9572, 0.8491, 0.2769, 0.7655 },</div>
+<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  { 0.9134, 0.4854, 0.9340, 0.0462, 0.7952 },</div>
+<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  { 0.6324, 0.8003, 0.6787, 0.0971, 0.1869 },</div>
+<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  { 0.0975, 0.1419, 0.7577, 0.8235, 0.4898 },</div>
+<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  { 0.2785, 0.4218, 0.7431, 0.6948, 0.4456 },</div>
+<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  { 0.5469, 0.9157, 0.3922, 0.3171, 0.6463 },</div>
+<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  { 0.9575, 0.7922, 0.6555, 0.9502, 0.7094 },</div>
+<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  { 0.9649, 0.9595, 0.1712, 0.0344, 0.7547 }</div>
+<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  };</div>
+<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  </div>
+<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  uint8_t m, n;</div>
+<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  m = 10;</div>
+<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  n = 5;</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>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> copy_A[m][n];</div>
+<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  </div>
+<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  puts(<span class="stringliteral">"+++++++ Reduced QR-form +++++++"</span>);</div>
+<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  <a class="code" href="matrix_8h.html#ae8d8daa117e9f96a5e29fe6c76c4998c">matrix_copy</a>(m, n, A, copy_A);</div>
+<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> red_Q[m][n];</div>
+<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  <a class="code" href="qr__givens_8h.html#a07adca97c58afc057a5cff738f6473cc">qr_givens_decomp</a>(m, n, copy_A, n, red_Q, <span class="keyword">true</span>);</div>
+<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  printf(<span class="stringliteral">"red_Q = "</span>);</div>
+<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  <a class="code" href="matrix_8h.html#a82f374a9b8b215f0ef53d35401eae524">matrix_flex_print</a>(m, n, red_Q, 7, 4);</div>
+<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  printf(<span class="stringliteral">"red_R = "</span>);</div>
+<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  <a class="code" href="matrix_8h.html#a82f374a9b8b215f0ef53d35401eae524">matrix_flex_print</a>(n, n, copy_A, 7, 4);</div>
+<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  puts(<span class="stringliteral">"+++++++ Full QR-form +++++++"</span>);</div>
+<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  <a class="code" href="matrix_8h.html#ae8d8daa117e9f96a5e29fe6c76c4998c">matrix_copy</a>(m, n, A, copy_A);</div>
+<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> full_Q[m][m];</div>
+<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  <a class="code" href="qr__givens_8h.html#a07adca97c58afc057a5cff738f6473cc">qr_givens_decomp</a>(m, n, copy_A, m, full_Q, <span class="keyword">false</span>);</div>
+<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  printf(<span class="stringliteral">"full_Q = "</span>);</div>
+<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  <a class="code" href="matrix_8h.html#a82f374a9b8b215f0ef53d35401eae524">matrix_flex_print</a>(m, m, full_Q, 7, 4);</div>
+<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  printf(<span class="stringliteral">"full_R = "</span>);</div>
+<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  <a class="code" href="matrix_8h.html#a82f374a9b8b215f0ef53d35401eae524">matrix_flex_print</a>(m, n, copy_A, 7, 4);</div>
+<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  </div>
+<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  puts(<span class="stringliteral">"************ MATRIX B ************"</span>);</div>
+<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> B[7][7] =</div>
+<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  {</div>
+<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  { 0.8147, 0.5469, 0.8003, 0.0357, 0.6555, 0.8235, 0.7655 },</div>
+<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  { 0.9058, 0.9575, 0.1419, 0.8491, 0.1712, 0.6948, 0.7952 },</div>
+<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  { 0.1270, 0.9649, 0.4218, 0.9340, 0.7060, 0.3171, 0.1869 },</div>
+<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  { 0.9134, 0.1576, 0.9157, 0.6787, 0.0318, 0.9502, 0.4898 },</div>
+<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  { 0.6324, 0.9706, 0.7922, 0.7577, 0.2769, 0.0344, 0.4456 },</div>
+<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  { 0.0975, 0.9572, 0.9595, 0.7431, 0.0462, 0.4387, 0.6463 },</div>
+<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  { 0.2785, 0.4854, 0.6557, 0.3922, 0.0971, 0.3816, 0.7094 }</div>
+<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  };</div>
+<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  m = 7;</div>
+<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  n = 7;</div>
+<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> copy_B[m][n];</div>
+<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  puts(<span class="stringliteral">"+++++++ Reduced QR-form +++++++"</span>);</div>
+<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  <a class="code" href="matrix_8h.html#ae8d8daa117e9f96a5e29fe6c76c4998c">matrix_copy</a>(m, n, B, copy_B);</div>
+<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> red_Q1[m][n];</div>
+<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  <a class="code" href="qr__givens_8h.html#a07adca97c58afc057a5cff738f6473cc">qr_givens_decomp</a>(m, n, copy_B, n, red_Q1, <span class="keyword">true</span>);</div>
+<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  printf(<span class="stringliteral">"red_Q = "</span>);</div>
+<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  <a class="code" href="matrix_8h.html#a82f374a9b8b215f0ef53d35401eae524">matrix_flex_print</a>(m, n, red_Q1, 7, 4);</div>
+<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  printf(<span class="stringliteral">"red_R = "</span>);</div>
+<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  <a class="code" href="matrix_8h.html#a82f374a9b8b215f0ef53d35401eae524">matrix_flex_print</a>(n, n, copy_B, 7, 4);</div>
+<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  puts(<span class="stringliteral">"+++++++ Full QR-form +++++++"</span>);</div>
+<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  <a class="code" href="matrix_8h.html#ae8d8daa117e9f96a5e29fe6c76c4998c">matrix_copy</a>(m, n, B, copy_B);</div>
+<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> full_Q1[m][m];</div>
+<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  <a class="code" href="qr__givens_8h.html#a07adca97c58afc057a5cff738f6473cc">qr_givens_decomp</a>(m, n, copy_B, m, full_Q1, <span class="keyword">false</span>);</div>
+<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  printf(<span class="stringliteral">"full_Q = "</span>);</div>
+<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  <a class="code" href="matrix_8h.html#a82f374a9b8b215f0ef53d35401eae524">matrix_flex_print</a>(m, m, full_Q1, 7, 4);</div>
+<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  printf(<span class="stringliteral">"full_R = "</span>);</div>
+<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  <a class="code" href="matrix_8h.html#a82f374a9b8b215f0ef53d35401eae524">matrix_flex_print</a>(m, n, copy_B, 7, 4);</div>
+<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  </div>
+<div class="line"><a name="l00115"></a><span class="lineno"> 115</span> }</div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="amatrix_8h_html"><div class="ttname"><a href="matrix_8h.html">matrix.h</a></div><div class="ttdoc">Matrix computations.</div></div>
+<div class="ttc" id="amatrix_8h_html_a82f374a9b8b215f0ef53d35401eae524"><div class="ttname"><a href="matrix_8h.html#a82f374a9b8b215f0ef53d35401eae524">matrix_flex_print</a></div><div class="ttdeci">void matrix_flex_print(uint8_t m, uint8_t n, matrix_t matrix[m][n], uint8_t before_dec, uint8_t after_dec)</div><div class="ttdoc">Display the values of the matrix elements.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00220">matrix.c:220</a></div></div>
+<div class="ttc" id="agivens__test_8c_html_a7b8199da35e2aec77e76bbb9c52a28ae"><div class="ttname"><a href="givens__test_8c.html#a7b8199da35e2aec77e76bbb9c52a28ae">givens_test</a></div><div class="ttdeci">void givens_test(void)</div><div class="ttdoc">Examples of the Givens algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="givens__test_8c_source.html#l00028">givens_test.c:28</a></div></div>
+<div class="ttc" id="amatrix_8h_html_ae8d8daa117e9f96a5e29fe6c76c4998c"><div class="ttname"><a href="matrix_8h.html#ae8d8daa117e9f96a5e29fe6c76c4998c">matrix_copy</a></div><div class="ttdeci">void matrix_copy(uint8_t m, uint8_t n, matrix_t src_matrix[m][n], matrix_t dest_matrix[m][n])</div><div class="ttdoc">Copy the elements of a matrix to another matrix.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00083">matrix.c:83</a></div></div>
+<div class="ttc" id="aqr__givens_8h_html_a07adca97c58afc057a5cff738f6473cc"><div class="ttname"><a href="qr__givens_8h.html#a07adca97c58afc057a5cff738f6473cc">qr_givens_decomp</a></div><div class="ttdeci">int8_t qr_givens_decomp(uint8_t m, uint8_t n, matrix_t A[][n], uint8_t q_col_num, matrix_t Q[][q_col_num], bool reduced)</div><div class="ttdoc">Computes the QR decomposition of the matrix A by using the Givens algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="qr__givens_8c_source.html#l00033">qr_givens.c:33</a></div></div>
+<div class="ttc" id="amatrix_8h_html_af38ac6b76d645fea9abd6caeb4d9dd31"><div class="ttname"><a href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a></div><div class="ttdeci">#define matrix_t</div><div class="ttdoc">Define the data type of the matrix elements.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8h_source.html#l00038">matrix.h:38</a></div></div>
+<div class="ttc" id="aqr__givens_8h_html_a53f748fbc6f8a129deb6a048d423d644"><div class="ttname"><a href="qr__givens_8h.html#a53f748fbc6f8a129deb6a048d423d644">qr_givens_get_params</a></div><div class="ttdeci">void qr_givens_get_params(matrix_t xjj, matrix_t xij, matrix_t c_s_t_r_vec[])</div><div class="ttdoc">Compute the Givens parameters.</div><div class="ttdef"><b>Definition:</b> <a href="qr__givens_8c_source.html#l00110">qr_givens.c:110</a></div></div>
+<div class="ttc" id="aqr__givens_8h_html"><div class="ttname"><a href="qr__givens_8h.html">qr_givens.h</a></div><div class="ttdoc">Givens algorithm for the QR-decomposition. Provide necessary methods to construct Q- and R- matrices ...</div></div>
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+<a href="#func-members">Functions</a> </div>
+ <div class="headertitle">
+<div class="title">givens_test.h File Reference<div class="ingroups"><a class="el" href="group__examples.html">EXAMPLES</a></div></div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Examples of the Givens algorithm.
+<a href="#details">More...</a></p>
+
+<p><a href="givens__test_8h_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
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+Functions</h2></td></tr>
+<tr class="memitem:a7b8199da35e2aec77e76bbb9c52a28ae"><td class="memItemLeft" align="right" valign="top"><a id="a7b8199da35e2aec77e76bbb9c52a28ae"></a>
+void </td><td class="memItemRight" valign="bottom"><a class="el" href="givens__test_8h.html#a7b8199da35e2aec77e76bbb9c52a28ae">givens_test</a> (void)</td></tr>
+<tr class="memdesc:a7b8199da35e2aec77e76bbb9c52a28ae"><td class="mdescLeft"> </td><td class="mdescRight">Examples of the Givens algorithm. <br /></td></tr>
+<tr class="separator:a7b8199da35e2aec77e76bbb9c52a28ae"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Examples of the Givens algorithm. </p>
+<p>Givens algorithm examples (see <a class="el" href="qr__givens_8h.html">qr_givens.h</a> the "Givens" approach).</p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="givens__test_8h_source.html">givens_test.h</a>.</p>
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+<div class="title">givens_test.h</div> </div>
+</div><!--header-->
+<div class="contents">
+<a href="givens__test_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="preprocessor">#ifndef GIVENS_TEST_H_</span></div>
+<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#define GIVENS_TEST_H_</span></div>
+<div class="line"><a name="l00026"></a><span class="lineno"> 26</span>  </div>
+<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="keywordtype">void</span> <a class="code" href="givens__test_8h.html#a7b8199da35e2aec77e76bbb9c52a28ae">givens_test</a>(<span class="keywordtype">void</span>);</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="preprocessor">#endif </span><span class="comment">/* GIVENS_TEST_H_ */</span><span class="preprocessor"></span></div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="agivens__test_8h_html_a7b8199da35e2aec77e76bbb9c52a28ae"><div class="ttname"><a href="givens__test_8h.html#a7b8199da35e2aec77e76bbb9c52a28ae">givens_test</a></div><div class="ttdeci">void givens_test(void)</div><div class="ttdoc">Examples of the Givens algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="givens__test_8c_source.html#l00028">givens_test.c:28</a></div></div>
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+<h3><a id="index_c"></a>- c -</h3><ul>
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+: <a class="el" href="combinatorics_8h.html#a744ae7aa581aa908643d95d470394872">combinatorics.h</a>
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+: <a class="el" href="combinatorics_8h.html#a16396d8294127e6ea7dbbdaa3b8132e7">combinatorics.h</a>
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+, <a class="el" href="combinatorics_8h.html#ae500ce949afe79089e8146eb1fb5cbb0">combinatorics.h</a>
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+ <ul>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
+ </ul>
+</div>
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+, <a class="el" href="dist__based__position_8h.html#a308f40001270af6663e2b1f9aff47cc3">dist_based_position.h</a>
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+, <a class="el" href="dist__based__jacobian_8h.html#a8f900ff7d66d260d3b2e3e0ef2757ccc">dist_based_jacobian.h</a>
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+, <a class="el" href="dist__based__jacobian_8c.html#a04231d3d216ce6814eb3e183f7a2e408">dist_based_jacobian.c</a>
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+: <a class="el" href="dist__based__jacobian_8c.html#a769d35615d26a67b97bfd40b5d26a95c">dist_based_jacobian.c</a>
+, <a class="el" href="dist__based__jacobian_8h.html#a769d35615d26a67b97bfd40b5d26a95c">dist_based_jacobian.h</a>
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+, <a class="el" href="distance__based__test_8c.html#a3a6d73a022976728a5a298ba62d8e115">distance_based_test.c</a>
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+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
+ </ul>
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+</li>
+<li>COMBI_EMPTY
+: <a class="el" href="combinatorics_8h.html#a744ae7aa581aa908643d95d470394872">combinatorics.h</a>
+</li>
+<li>COMBI_END
+: <a class="el" href="combinatorics_8h.html#a16396d8294127e6ea7dbbdaa3b8132e7">combinatorics.h</a>
+</li>
+<li>COMBI_ERROR
+: <a class="el" href="combinatorics_8h.html#a1249f9e7a382225c0889b8ef630d6509">combinatorics.h</a>
+</li>
+<li>COMBI_SUCCESS
+: <a class="el" href="combinatorics_8h.html#af92c32bbf9a391a055cb472b6f43c498">combinatorics.h</a>
+</li>
+<li>I0
+: <a class="el" href="magnetic__based__position_8h.html#a73d113d91ab7ec355ca707cc930eb718">magnetic_based_position.h</a>
+</li>
+<li>K
+: <a class="el" href="magnetic__based__position_8h.html#a97d832ae23af4f215e801e37e4f94254">magnetic_based_position.h</a>
+</li>
+<li>K_T
+: <a class="el" href="magnetic__based__position_8h.html#a3ee4ec231172a5fd866f72acead15bc4">magnetic_based_position.h</a>
+</li>
+<li>M_PI
+: <a class="el" href="matrix_8h.html#ae71449b1cc6e6250b91f539153a7a0d3">matrix.h</a>
+, <a class="el" href="utils_8h.html#ae71449b1cc6e6250b91f539153a7a0d3">utils.h</a>
+</li>
+<li>MACHEPS
+: <a class="el" href="matrix_8h.html#af57ae8796956bfd0ee173b9040ba5192">matrix.h</a>
+</li>
+<li>matrix_t
+: <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix.h</a>
+</li>
+<li>MAX_COL_NUM
+: <a class="el" href="moore__penrose__pseudo__inverse_8h.html#ad174a66874978917203ae18e88d263af">moore_penrose_pseudo_inverse.h</a>
+</li>
+<li>MAX_ROW_NUM
+: <a class="el" href="moore__penrose__pseudo__inverse_8h.html#a08c63915b31bfeb8d6256981f71b3746">moore_penrose_pseudo_inverse.h</a>
+</li>
+<li>MG_TO_T
+: <a class="el" href="magnetic__based__position_8h.html#a544d6868e9b6cf4f9b9db9e1ad413691">magnetic_based_position.h</a>
+</li>
+<li>MILPS_MAX_DIST
+: <a class="el" href="magnetic__based__position_8h.html#a2ab193fcd7e0bc8f46ce92c3299b99bc">magnetic_based_position.h</a>
+</li>
+<li>MOORE_PENROSE_INVALID_RANK_VALUE
+: <a class="el" href="moore__penrose__pseudo__inverse_8h.html#a068a278115f777cb1b92107e5c88c68e">moore_penrose_pseudo_inverse.h</a>
+</li>
+<li>MOORE_PENROSE_PSEUDO_COMP_SUCCESS
+: <a class="el" href="moore__penrose__pseudo__inverse_8h.html#ae65d746cc90c1447fe1651614fde76eb">moore_penrose_pseudo_inverse.h</a>
+</li>
+<li>MOORE_PENROSE_PSEUDO_GIVE_MATRIX_TRANSPOSE
+: <a class="el" href="moore__penrose__pseudo__inverse_8h.html#aa41b1dd19931edcc50247511f12859e4">moore_penrose_pseudo_inverse.h</a>
+</li>
+<li>MOORE_PENROSE_PSEUDO_MAX_ALLOW_ROW_COL_EXCEEED
+: <a class="el" href="moore__penrose__pseudo__inverse_8h.html#a4b5bc244bcae0f030336269904158df1">moore_penrose_pseudo_inverse.h</a>
+</li>
+<li>MU0
+: <a class="el" href="magnetic__based__position_8h.html#a0fa11f33bdb89b468b60f19395381cc4">magnetic_based_position.h</a>
+</li>
+<li>NW
+: <a class="el" href="magnetic__based__position_8h.html#af9cccf331f045b89a9f12366df5f7687">magnetic_based_position.h</a>
+</li>
+<li>PI
+: <a class="el" href="norm__dist__rnd__generator_8h.html#a598a3330b3c21701223ee0ca14316eca">norm_dist_rnd_generator.h</a>
+, <a class="el" href="magnetic__based__position_8h.html#a598a3330b3c21701223ee0ca14316eca">magnetic_based_position.h</a>
+</li>
+<li>R0
+: <a class="el" href="magnetic__based__position_8h.html#a30ab9da60435727bc80839d416461b8f">magnetic_based_position.h</a>
+</li>
+<li>SVD_COMPUTE_NEGLIGIBLE_VALUES
+: <a class="el" href="svd_8h.html#aa2f21266e1086a3971dfd02ee4b48ce5">svd.h</a>
+</li>
+<li>SVD_ORDER_ABSOLUTE_SING_VALUES
+: <a class="el" href="svd_8h.html#acdb2d1d5cfdead81a1c247037b06823a">svd.h</a>
+</li>
+<li>SVD_QR_STEP
+: <a class="el" href="svd_8h.html#af9e7db6685a0631312bfb93cc58dd756">svd.h</a>
+</li>
+<li>SVD_SPLIT_AT_NEGLIGIBLE_VALUES
+: <a class="el" href="svd_8h.html#a70d46444b7291fdb50510447bb1ab9a4">svd.h</a>
+</li>
+<li>vector_t
+: <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector.h</a>
+</li>
+</ul>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
+ </ul>
+</div>
+</body>
+</html>
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+<html xmlns="http://www.w3.org/1999/xhtml">
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+<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 1.8.16"/>
+<meta name="viewport" content="width=device-width, initial-scale=1"/>
+<title>RcdMathLib_doc: Globals</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>
+<script type="text/javascript">
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+ $(document).ready(initResizable);
+/* @license-end */</script>
+<link href="search/search.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="search/searchdata.js"></script>
+<script type="text/javascript" src="search/search.js"></script>
+<link href="doxygen.css" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+ <td id="projectalign" style="padding-left: 0.5em;">
+ <div id="projectname">RcdMathLib_doc
+ </div>
+ <div id="projectbrief">Open Source Library for Linear and Non-linear Algebra</div>
+ </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.16 -->
+<script type="text/javascript">
+/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&dn=gpl-2.0.txt GPL-v2 */
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+ <div id="nav-tree-contents">
+ <div id="nav-sync" class="sync"></div>
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+ <div id="splitbar" style="-moz-user-select:none;"
+ class="ui-resizable-handle">
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+</div>
+<script type="text/javascript">
+/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&dn=gpl-2.0.txt GPL-v2 */
+$(document).ready(function(){initNavTree('globals_enum.html','');});
+/* @license-end */
+</script>
+<div id="doc-content">
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+ onmouseover="return searchBox.OnSearchSelectShow()"
+ onmouseout="return searchBox.OnSearchSelectHide()"
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+
+<!-- iframe showing the search results (closed by default) -->
+<div id="MSearchResultsWindow">
+<iframe src="javascript:void(0)" frameborder="0"
+ name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="contents">
+ <ul>
+<li>ALGORITHM
+: <a class="el" href="pseudo__inverse_8h.html#aeead1612e2f846fe32e4c50e1ab3d7c3">pseudo_inverse.h</a>
+</li>
+<li>NON_LIN_ALGORITHM
+: <a class="el" href="fsolve_8h.html#a806eab83c4b4a937b86ebcfd984f9206">fsolve.h</a>
+</li>
+<li>QR_ALGORITHM
+: <a class="el" href="qr__common_8h.html#ac62c54358ecc0c35cdef1c3fb37cc73b">qr_common.h</a>
+</li>
+</ul>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
+ </ul>
+</div>
+</body>
+</html>
diff --git a/doc/doxygen/html/globals_eval.html b/doc/doxygen/html/globals_eval.html
new file mode 100644
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+<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 1.8.16"/>
+<meta name="viewport" content="width=device-width, initial-scale=1"/>
+<title>RcdMathLib_doc: Globals</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>
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+ $(document).ready(initResizable);
+/* @license-end */</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>
+<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">RcdMathLib_doc
+ </div>
+ <div id="projectbrief">Open Source Library for Linear and Non-linear Algebra</div>
+ </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.16 -->
+<script type="text/javascript">
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+/* @license-end */
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+<script type="text/javascript" src="menudata.js"></script>
+<script type="text/javascript" src="menu.js"></script>
+<script type="text/javascript">
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+ $(document).ready(function() { init_search(); });
+});
+/* @license-end */</script>
+<div id="main-nav"></div>
+</div><!-- top -->
+<div id="side-nav" class="ui-resizable side-nav-resizable">
+ <div id="nav-tree">
+ <div id="nav-tree-contents">
+ <div id="nav-sync" class="sync"></div>
+ </div>
+ </div>
+ <div id="splitbar" style="-moz-user-select:none;"
+ class="ui-resizable-handle">
+ </div>
+</div>
+<script type="text/javascript">
+/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&dn=gpl-2.0.txt GPL-v2 */
+$(document).ready(function(){initNavTree('globals_eval.html','');});
+/* @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="contents">
+ <ul>
+<li>Damped_Newton_Raphson
+: <a class="el" href="fsolve_8h.html#a806eab83c4b4a937b86ebcfd984f9206a99bd092827a3e3f95abceb5f6b0c1783">fsolve.h</a>
+</li>
+<li>Gauss
+: <a class="el" href="pseudo__inverse_8h.html#aeead1612e2f846fe32e4c50e1ab3d7c3ab15a7891aa5223439e4692a1048cb220">pseudo_inverse.h</a>
+</li>
+<li>Givens
+: <a class="el" href="pseudo__inverse_8h.html#aeead1612e2f846fe32e4c50e1ab3d7c3aab4d4fdd6aa659e7306fa9abf3d0a991">pseudo_inverse.h</a>
+</li>
+<li>Householder
+: <a class="el" href="pseudo__inverse_8h.html#aeead1612e2f846fe32e4c50e1ab3d7c3a9db08339065f28367b9ae058d1127a04">pseudo_inverse.h</a>
+</li>
+<li>Moore_Penrose
+: <a class="el" href="pseudo__inverse_8h.html#aeead1612e2f846fe32e4c50e1ab3d7c3ae835310f82eb01d07137e72133cd5b06">pseudo_inverse.h</a>
+</li>
+<li>Newton_Raphson
+: <a class="el" href="fsolve_8h.html#a806eab83c4b4a937b86ebcfd984f9206a44c226e2406536a0eba3ee940a4a7117">fsolve.h</a>
+</li>
+</ul>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
+ </ul>
+</div>
+</body>
+</html>
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+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<meta name="generator" content="Doxygen 1.8.16"/>
+<meta name="viewport" content="width=device-width, initial-scale=1"/>
+<title>RcdMathLib_doc: Globals</title>
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+<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"/>
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+<script type="text/javascript" src="navtreedata.js"></script>
+<script type="text/javascript" src="navtree.js"></script>
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+<link href="search/search.css" rel="stylesheet" type="text/css"/>
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+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+ <td id="projectalign" style="padding-left: 0.5em;">
+ <div id="projectname">RcdMathLib_doc
+ </div>
+ <div id="projectbrief">Open Source Library for Linear and Non-linear Algebra</div>
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+ </tr>
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+</table>
+</div>
+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.16 -->
+<script type="text/javascript">
+/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&dn=gpl-2.0.txt GPL-v2 */
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+/* @license-end */</script>
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+</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('globals_f.html','');});
+/* @license-end */
+</script>
+<div id="doc-content">
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+ onmouseover="return searchBox.OnSearchSelectShow()"
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+ name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="contents">
+<div class="textblock">Here is a list of all documented functions, variables, defines, enums, and typedefs with links to the documentation:</div>
+
+<h3><a id="index_f"></a>- f -</h3><ul>
+<li>fsolve()
+: <a class="el" href="fsolve_8c.html#a690a05654627b94634ffed0893946ba7">fsolve.c</a>
+, <a class="el" href="fsolve_8h.html#a690a05654627b94634ffed0893946ba7">fsolve.h</a>
+</li>
+<li>fsolve_test()
+: <a class="el" href="fsolve__test_8c.html#a53bbdeb6ad57eeb4b512c4620b64cc37">fsolve_test.c</a>
+, <a class="el" href="fsolve__test_8h.html#a53bbdeb6ad57eeb4b512c4620b64cc37">fsolve_test.h</a>
+</li>
+</ul>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
+ </ul>
+</div>
+</body>
+</html>
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+<meta name="generator" content="Doxygen 1.8.16"/>
+<meta name="viewport" content="width=device-width, initial-scale=1"/>
+<title>RcdMathLib_doc: Globals</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>
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+<link href="search/search.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="search/searchdata.js"></script>
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+ <td id="projectalign" style="padding-left: 0.5em;">
+ <div id="projectname">RcdMathLib_doc
+ </div>
+ <div id="projectbrief">Open Source Library for Linear and Non-linear Algebra</div>
+ </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.16 -->
+<script type="text/javascript">
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+</script>
+<div id="doc-content">
+<!-- window showing the filter options -->
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+ onmouseover="return searchBox.OnSearchSelectShow()"
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+ name="MSearchResults" id="MSearchResults">
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+
+<div class="contents">
+ 
+
+<h3><a id="index_c"></a>- c -</h3><ul>
+<li>combinatorics_get_next_without_rep()
+: <a class="el" href="combinatorics_8c.html#ae500ce949afe79089e8146eb1fb5cbb0">combinatorics.c</a>
+, <a class="el" href="combinatorics_8h.html#ae500ce949afe79089e8146eb1fb5cbb0">combinatorics.h</a>
+</li>
+<li>combinatorics_init()
+: <a class="el" href="combinatorics_8c.html#a1bcaeef00a7027e9b9b7694da2efd1b9">combinatorics.c</a>
+, <a class="el" href="combinatorics_8h.html#a1bcaeef00a7027e9b9b7694da2efd1b9">combinatorics.h</a>
+</li>
+</ul>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
+ </ul>
+</div>
+</body>
+</html>
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+<meta name="generator" content="Doxygen 1.8.16"/>
+<meta name="viewport" content="width=device-width, initial-scale=1"/>
+<title>RcdMathLib_doc: Globals</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"/>
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+<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>
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+<body>
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+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+ <td id="projectalign" style="padding-left: 0.5em;">
+ <div id="projectname">RcdMathLib_doc
+ </div>
+ <div id="projectbrief">Open Source Library for Linear and Non-linear Algebra</div>
+ </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.16 -->
+<script type="text/javascript">
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+ 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('globals_func_d.html','');});
+/* @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="contents">
+ 
+
+<h3><a id="index_d"></a>- d -</h3><ul>
+<li>damped_newton_raphson()
+: <a class="el" href="damped__newton__raphson_8c.html#a0cf3dc5e334091bc43820fa1d8e86c14">damped_newton_raphson.c</a>
+, <a class="el" href="damped__newton__raphson_8h.html#a0cf3dc5e334091bc43820fa1d8e86c14">damped_newton_raphson.h</a>
+</li>
+<li>dist_based_f_i()
+: <a class="el" href="dist__based__fi_8h.html#a2a1d8806de5f7f5131be1fbd706c17fa">dist_based_fi.h</a>
+, <a class="el" href="dist__based__fi_8c.html#a2a1d8806de5f7f5131be1fbd706c17fa">dist_based_fi.c</a>
+</li>
+<li>dist_based_fi()
+: <a class="el" href="dist__based__fi_8c.html#a67e1cf0904bc0be1258e5fb4cb292a9a">dist_based_fi.c</a>
+, <a class="el" href="dist__based__fi_8h.html#a67e1cf0904bc0be1258e5fb4cb292a9a">dist_based_fi.h</a>
+</li>
+<li>dist_based_get_absolute_error()
+: <a class="el" href="dist__based__position_8h.html#a308f40001270af6663e2b1f9aff47cc3">dist_based_position.h</a>
+, <a class="el" href="dist__based__position_8c.html#a308f40001270af6663e2b1f9aff47cc3">dist_based_position.c</a>
+</li>
+<li>dist_based_get_distance_to_anchor()
+: <a class="el" href="dist__based__position_8c.html#a756c1407a4ba61d312a676ffd824517d">dist_based_position.c</a>
+, <a class="el" href="dist__based__position_8h.html#a756c1407a4ba61d312a676ffd824517d">dist_based_position.h</a>
+</li>
+<li>dist_based_jacobian_get_J()
+: <a class="el" href="dist__based__jacobian_8c.html#a8f900ff7d66d260d3b2e3e0ef2757ccc">dist_based_jacobian.c</a>
+, <a class="el" href="dist__based__jacobian_8h.html#a8f900ff7d66d260d3b2e3e0ef2757ccc">dist_based_jacobian.h</a>
+</li>
+<li>dist_based_jacobian_get_J_mul_s()
+: <a class="el" href="dist__based__jacobian_8c.html#a04231d3d216ce6814eb3e183f7a2e408">dist_based_jacobian.c</a>
+, <a class="el" href="dist__based__jacobian_8h.html#a04231d3d216ce6814eb3e183f7a2e408">dist_based_jacobian.h</a>
+</li>
+<li>dist_based_jacobian_get_JTf()
+: <a class="el" href="dist__based__jacobian_8c.html#a769d35615d26a67b97bfd40b5d26a95c">dist_based_jacobian.c</a>
+, <a class="el" href="dist__based__jacobian_8h.html#a769d35615d26a67b97bfd40b5d26a95c">dist_based_jacobian.h</a>
+</li>
+<li>dist_based_jacobian_get_JTJ()
+: <a class="el" href="dist__based__jacobian_8h.html#a59b1a3323c2896ff28f71135af0204a2">dist_based_jacobian.h</a>
+, <a class="el" href="dist__based__jacobian_8c.html#a59b1a3323c2896ff28f71135af0204a2">dist_based_jacobian.c</a>
+</li>
+<li>distance_based_test()
+: <a class="el" href="distance__based__test_8h.html#a3a6d73a022976728a5a298ba62d8e115">distance_based_test.h</a>
+, <a class="el" href="distance__based__test_8c.html#a3a6d73a022976728a5a298ba62d8e115">distance_based_test.c</a>
+</li>
+</ul>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
+ </ul>
+</div>
+</body>
+</html>
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+<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 1.8.16"/>
+<meta name="viewport" content="width=device-width, initial-scale=1"/>
+<title>RcdMathLib_doc: Globals</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>
+<script type="text/javascript">
+/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&dn=gpl-2.0.txt GPL-v2 */
+ $(document).ready(initResizable);
+/* @license-end */</script>
+<link href="search/search.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="search/searchdata.js"></script>
+<script type="text/javascript" src="search/search.js"></script>
+<link href="doxygen.css" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+ <td id="projectalign" style="padding-left: 0.5em;">
+ <div id="projectname">RcdMathLib_doc
+ </div>
+ <div id="projectbrief">Open Source Library for Linear and Non-linear Algebra</div>
+ </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.16 -->
+<script type="text/javascript">
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+ <div id="nav-sync" class="sync"></div>
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+ class="ui-resizable-handle">
+ </div>
+</div>
+<script type="text/javascript">
+/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&dn=gpl-2.0.txt GPL-v2 */
+$(document).ready(function(){initNavTree('globals_func_f.html','');});
+/* @license-end */
+</script>
+<div id="doc-content">
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+ onmouseover="return searchBox.OnSearchSelectShow()"
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+<iframe src="javascript:void(0)" frameborder="0"
+ name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="contents">
+ 
+
+<h3><a id="index_f"></a>- f -</h3><ul>
+<li>fsolve()
+: <a class="el" href="fsolve_8c.html#a690a05654627b94634ffed0893946ba7">fsolve.c</a>
+, <a class="el" href="fsolve_8h.html#a690a05654627b94634ffed0893946ba7">fsolve.h</a>
+</li>
+<li>fsolve_test()
+: <a class="el" href="fsolve__test_8c.html#a53bbdeb6ad57eeb4b512c4620b64cc37">fsolve_test.c</a>
+, <a class="el" href="fsolve__test_8h.html#a53bbdeb6ad57eeb4b512c4620b64cc37">fsolve_test.h</a>
+</li>
+</ul>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
+ </ul>
+</div>
+</body>
+</html>
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+<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 1.8.16"/>
+<meta name="viewport" content="width=device-width, initial-scale=1"/>
+<title>RcdMathLib_doc: Globals</title>
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+<script type="text/javascript" src="jquery.js"></script>
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+</div>
+<!-- end header part -->
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+<script type="text/javascript">
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+<div id="doc-content">
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+<!-- iframe showing the search results (closed by default) -->
+<div id="MSearchResultsWindow">
+<iframe src="javascript:void(0)" frameborder="0"
+ name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="contents">
+ 
+
+<h3><a id="index_g"></a>- g -</h3><ul>
+<li>get_damped_norm()
+: <a class="el" href="damped__newton__raphson_8c.html#a46f90a02170f4f35f9b3bdbc5c65271a">damped_newton_raphson.c</a>
+, <a class="el" href="damped__newton__raphson_8h.html#a46f90a02170f4f35f9b3bdbc5c65271a">damped_newton_raphson.h</a>
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+, <a class="el" href="damped__newton__raphson_8c.html#acd5be84f1d01dfb379d85cc8aef8b65e">damped_newton_raphson.c</a>
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+<li>get_exact_distance_to_anchor()
+: <a class="el" href="multipath__dist__detection__mitigation_8h.html#a38019260396a33562d5a1912c691c26a">multipath_dist_detection_mitigation.h</a>
+, <a class="el" href="multipath__dist__detection__mitigation_8c.html#a38019260396a33562d5a1912c691c26a">multipath_dist_detection_mitigation.c</a>
+</li>
+<li>get_non_lin_sys_f1_()
+: <a class="el" href="fsolve__test_8c.html#aefd0d3fa000963221de289a3933b7c9b">fsolve_test.c</a>
+</li>
+<li>get_non_lin_sys_f2_()
+: <a class="el" href="fsolve__test_8c.html#ae36fe8e55d180d348ef331efbbc5b908">fsolve_test.c</a>
+</li>
+<li>get_non_lin_sys_f3_()
+: <a class="el" href="fsolve__test_8c.html#a8f8a1fe785d5304202601b95e1e6871a">fsolve_test.c</a>
+</li>
+<li>get_non_lin_sys_J1_()
+: <a class="el" href="fsolve__test_8c.html#a3344cde9f5060d7ab962fbaaf1cdd88f">fsolve_test.c</a>
+</li>
+<li>get_non_lin_sys_J2_()
+: <a class="el" href="fsolve__test_8c.html#ab95955c80b1896b9e75a04faa4ce742e">fsolve_test.c</a>
+</li>
+<li>get_non_lin_sys_J3_()
+: <a class="el" href="fsolve__test_8c.html#a6686e4624961ca943bebb616e763a100">fsolve_test.c</a>
+</li>
+<li>get_norm_distr_rand_num()
+: <a class="el" href="norm__dist__rnd__generator_8h.html#a35eb81d6885b8d16d225b230f88a919a">norm_dist_rnd_generator.h</a>
+, <a class="el" href="norm__dist__rnd__generator_8c.html#a7c43c3270c6c14bb23f14d071f6132bf">norm_dist_rnd_generator.c</a>
+</li>
+<li>get_optimal_partial_r_noised_vec()
+: <a class="el" href="multipath__dist__detection__mitigation_8h.html#a540837de8e8a9d4e5dbaac1814b19b5e">multipath_dist_detection_mitigation.h</a>
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+</li>
+<li>get_optimal_partial_ref_matrix()
+: <a class="el" href="multipath__dist__detection__mitigation_8h.html#a6530e8d8955c511d3452748fec987a39">multipath_dist_detection_mitigation.h</a>
+, <a class="el" href="multipath__dist__detection__mitigation_8c.html#a6530e8d8955c511d3452748fec987a39">multipath_dist_detection_mitigation.c</a>
+</li>
+<li>get_PDOP()
+: <a class="el" href="DOP_8h.html#a8b878ff6d73e8da6fbc3ae40f01b1ce4">DOP.h</a>
+, <a class="el" href="DOP_8c.html#a8b878ff6d73e8da6fbc3ae40f01b1ce4">DOP.c</a>
+</li>
+<li>get_rand_num()
+: <a class="el" href="norm__dist__rnd__generator_8h.html#a58c36346c01fb7f1a336a610b177b903">norm_dist_rnd_generator.h</a>
+, <a class="el" href="norm__dist__rnd__generator_8c.html#a5767383d0f4f1fed2c194695a22f56cb">norm_dist_rnd_generator.c</a>
+</li>
+<li>givens_test()
+: <a class="el" href="givens__test_8c.html#a7b8199da35e2aec77e76bbb9c52a28ae">givens_test.c</a>
+, <a class="el" href="givens__test_8h.html#a7b8199da35e2aec77e76bbb9c52a28ae">givens_test.h</a>
+</li>
+</ul>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
+ </ul>
+</div>
+</body>
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+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
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+<meta name="viewport" content="width=device-width, initial-scale=1"/>
+<title>RcdMathLib_doc: Globals</title>
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+<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"/>
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+<script type="text/javascript" src="navtreedata.js"></script>
+<script type="text/javascript" src="navtree.js"></script>
+<script type="text/javascript">
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+<link href="search/search.css" rel="stylesheet" type="text/css"/>
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+<link href="doxygen.css" rel="stylesheet" type="text/css" />
+</head>
+<body>
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+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+ <td id="projectalign" style="padding-left: 0.5em;">
+ <div id="projectname">RcdMathLib_doc
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+ <div id="projectbrief">Open Source Library for Linear and Non-linear Algebra</div>
+ </td>
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+</table>
+</div>
+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.16 -->
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+/* @license-end */
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+ <div id="nav-sync" class="sync"></div>
+ </div>
+ </div>
+ <div id="splitbar" style="-moz-user-select:none;"
+ class="ui-resizable-handle">
+ </div>
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+/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&dn=gpl-2.0.txt GPL-v2 */
+$(document).ready(function(){initNavTree('globals_func_h.html','');});
+/* @license-end */
+</script>
+<div id="doc-content">
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+ onmouseover="return searchBox.OnSearchSelectShow()"
+ onmouseout="return searchBox.OnSearchSelectHide()"
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+<!-- iframe showing the search results (closed by default) -->
+<div id="MSearchResultsWindow">
+<iframe src="javascript:void(0)" frameborder="0"
+ name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="contents">
+ 
+
+<h3><a id="index_h"></a>- h -</h3><ul>
+<li>householder_test()
+: <a class="el" href="householder__test_8c.html#aacc09bb5d8990f8f6f3bc872b9a8d9a0">householder_test.c</a>
+, <a class="el" href="householder__test_8h.html#aacc09bb5d8990f8f6f3bc872b9a8d9a0">householder_test.h</a>
+</li>
+</ul>
+</div><!-- contents -->
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+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
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+</body>
+</html>
diff --git a/doc/doxygen/html/globals_func_i.html b/doc/doxygen/html/globals_func_i.html
new file mode 100644
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--- /dev/null
+++ b/doc/doxygen/html/globals_func_i.html
@@ -0,0 +1,120 @@
+<!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">
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+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<meta name="generator" content="Doxygen 1.8.16"/>
+<meta name="viewport" content="width=device-width, initial-scale=1"/>
+<title>RcdMathLib_doc: Globals</title>
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+<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"/>
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+<script type="text/javascript" src="search/search.js"></script>
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+</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">RcdMathLib_doc
+ </div>
+ <div id="projectbrief">Open Source Library for Linear and Non-linear Algebra</div>
+ </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.16 -->
+<script type="text/javascript">
+/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&dn=gpl-2.0.txt GPL-v2 */
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+/* @license-end */
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+<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 */
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+ $(document).ready(function() { init_search(); });
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+<div id="side-nav" class="ui-resizable side-nav-resizable">
+ <div id="nav-tree">
+ <div id="nav-tree-contents">
+ <div id="nav-sync" class="sync"></div>
+ </div>
+ </div>
+ <div id="splitbar" style="-moz-user-select:none;"
+ class="ui-resizable-handle">
+ </div>
+</div>
+<script type="text/javascript">
+/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&dn=gpl-2.0.txt GPL-v2 */
+$(document).ready(function(){initNavTree('globals_func_i.html','');});
+/* @license-end */
+</script>
+<div id="doc-content">
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+ onmouseover="return searchBox.OnSearchSelectShow()"
+ onmouseout="return searchBox.OnSearchSelectHide()"
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+<!-- iframe showing the search results (closed by default) -->
+<div id="MSearchResultsWindow">
+<iframe src="javascript:void(0)" frameborder="0"
+ name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="contents">
+ 
+
+<h3><a id="index_i"></a>- i -</h3><ul>
+<li>int_shell_sort()
+: <a class="el" href="shell__sort_8h.html#a92bc0e3a993e78dfab795f5ccc3e227e">shell_sort.h</a>
+, <a class="el" href="shell__sort_8c.html#a92bc0e3a993e78dfab795f5ccc3e227e">shell_sort.c</a>
+</li>
+<li>inv_triangular_matrices_test()
+: <a class="el" href="matrix__test_8c.html#a5713bd664a96ccd028896420050f22df">matrix_test.c</a>
+, <a class="el" href="matrix__test_8h.html#a5713bd664a96ccd028896420050f22df">matrix_test.h</a>
+</li>
+<li>is_anchor()
+: <a class="el" href="multipath__dist__detection__mitigation_8h.html#a944bb181ffe0b3abc69e345ae88fbfc1">multipath_dist_detection_mitigation.h</a>
+, <a class="el" href="multipath__dist__detection__mitigation_8c.html#a944bb181ffe0b3abc69e345ae88fbfc1">multipath_dist_detection_mitigation.c</a>
+</li>
+<li>is_member()
+: <a class="el" href="multipath__dist__detection__mitigation_8c.html#a5609107d45b6abfa6614fc79c56273c8">multipath_dist_detection_mitigation.c</a>
+, <a class="el" href="multipath__dist__detection__mitigation_8h.html#a5609107d45b6abfa6614fc79c56273c8">multipath_dist_detection_mitigation.h</a>
+</li>
+</ul>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
+ </ul>
+</div>
+</body>
+</html>
diff --git a/doc/doxygen/html/globals_func_l.html b/doc/doxygen/html/globals_func_l.html
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+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<meta name="generator" content="Doxygen 1.8.16"/>
+<meta name="viewport" content="width=device-width, initial-scale=1"/>
+<title>RcdMathLib_doc: Globals</title>
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+<script type="text/javascript" src="dynsections.js"></script>
+<link href="navtree.css" rel="stylesheet" type="text/css"/>
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+<script type="text/javascript" src="navtree.js"></script>
+<script type="text/javascript">
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+/* @license-end */</script>
+<link href="search/search.css" rel="stylesheet" type="text/css"/>
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+<script type="text/javascript" src="search/search.js"></script>
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+</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">RcdMathLib_doc
+ </div>
+ <div id="projectbrief">Open Source Library for Linear and Non-linear Algebra</div>
+ </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.16 -->
+<script type="text/javascript">
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+</iframe>
+</div>
+
+<div class="contents">
+ 
+
+<h3><a id="index_l"></a>- l -</h3><ul>
+<li>loc_gauss_newton()
+: <a class="el" href="loc__gauss__newton_8h.html#aaba1f25cf23d5529e4fc3bca22f8784e">loc_gauss_newton.h</a>
+, <a class="el" href="loc__gauss__newton_8c.html#aaba1f25cf23d5529e4fc3bca22f8784e">loc_gauss_newton.c</a>
+</li>
+<li>loc_levenberg_marquardt()
+: <a class="el" href="loc__levenberg__marquardt_8c.html#a09fdd720ff5c5658e160657153ee615f">loc_levenberg_marquardt.c</a>
+, <a class="el" href="loc__levenberg__marquardt_8h.html#a09fdd720ff5c5658e160657153ee615f">loc_levenberg_marquardt.h</a>
+</li>
+<li>loc_levenberg_marquardt_correction()
+: <a class="el" href="loc__levenberg__marquardt_8h.html#a9b2c27f650c9db97f2923b645a8ca5f6">loc_levenberg_marquardt.h</a>
+, <a class="el" href="loc__levenberg__marquardt_8c.html#a9b2c27f650c9db97f2923b645a8ca5f6">loc_levenberg_marquardt.c</a>
+</li>
+<li>loc_levenberg_marquardt_get_JTJ_mu2_I()
+: <a class="el" href="loc__levenberg__marquardt_8c.html#a4bad4d347859b95ac176779b34f26f8e">loc_levenberg_marquardt.c</a>
+, <a class="el" href="loc__levenberg__marquardt_8h.html#a4bad4d347859b95ac176779b34f26f8e">loc_levenberg_marquardt.h</a>
+</li>
+<li>loc_levenberg_marquardt_get_mu0()
+: <a class="el" href="loc__levenberg__marquardt_8h.html#a34f52d51278453ca0fc0818a1f73a357">loc_levenberg_marquardt.h</a>
+, <a class="el" href="loc__levenberg__marquardt_8c.html#a34f52d51278453ca0fc0818a1f73a357">loc_levenberg_marquardt.c</a>
+</li>
+<li>lu_decomp()
+: <a class="el" href="lu__decomp_8h.html#a8649e9f4b85f17bf35a22b18e7f239d7">lu_decomp.h</a>
+, <a class="el" href="lu__decomp_8c.html#a8649e9f4b85f17bf35a22b18e7f239d7">lu_decomp.c</a>
+</li>
+<li>lu_decomp_test()
+: <a class="el" href="lu__decomp__test_8c.html#a5798fee8a59a44f3a6a712ffd700dfd1">lu_decomp_test.c</a>
+, <a class="el" href="lu__decomp__test_8h.html#a5798fee8a59a44f3a6a712ffd700dfd1">lu_decomp_test.h</a>
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+</iframe>
+</div>
+
+<div class="contents">
+ 
+
+<h3><a id="index_m"></a>- m -</h3><ul>
+<li>magnetic_based_f_i()
+: <a class="el" href="magnetic__based__fi_8h.html#a897f5c675ad714feb9f2ae7571de620a">magnetic_based_fi.h</a>
+, <a class="el" href="magnetic__based__fi_8c.html#a897f5c675ad714feb9f2ae7571de620a">magnetic_based_fi.c</a>
+</li>
+<li>magnetic_based_get_absolute_error()
+: <a class="el" href="magnetic__based__position_8c.html#ad5a7513337486e277ea028480403569d">magnetic_based_position.c</a>
+, <a class="el" href="magnetic__based__position_8h.html#ad5a7513337486e277ea028480403569d">magnetic_based_position.h</a>
+</li>
+<li>magnetic_based_get_distances()
+: <a class="el" href="magnetic__based__position_8h.html#ae584dff239a0111c47b7c5d1e197af59">magnetic_based_position.h</a>
+, <a class="el" href="magnetic__based__position_8c.html#ae584dff239a0111c47b7c5d1e197af59">magnetic_based_position.c</a>
+</li>
+<li>magnetic_based_get_distances_to_anchors()
+: <a class="el" href="magnetic__based__position_8c.html#ac852e4c0dcb8e9901aa3fab5efd91599">magnetic_based_position.c</a>
+, <a class="el" href="magnetic__based__position_8h.html#ac852e4c0dcb8e9901aa3fab5efd91599">magnetic_based_position.h</a>
+</li>
+<li>magnetic_based_get_magnetic_field()
+: <a class="el" href="magnetic__based__position_8h.html#a361f3f3c4f9516a1aa6107367ebfda8d">magnetic_based_position.h</a>
+, <a class="el" href="magnetic__based__position_8c.html#a361f3f3c4f9516a1aa6107367ebfda8d">magnetic_based_position.c</a>
+</li>
+<li>magnetic_based_get_magnetic_field_vec()
+: <a class="el" href="magnetic__based__position_8h.html#aac026f28838a5b30c8f6f189e3ab354c">magnetic_based_position.h</a>
+, <a class="el" href="magnetic__based__position_8c.html#aac026f28838a5b30c8f6f189e3ab354c">magnetic_based_position.c</a>
+</li>
+<li>magnetic_based_get_r()
+: <a class="el" href="magnetic__based__position_8h.html#a01bb024303e8eb202a19dbd70b291c06">magnetic_based_position.h</a>
+, <a class="el" href="magnetic__based__position_8c.html#a01bb024303e8eb202a19dbd70b291c06">magnetic_based_position.c</a>
+</li>
+<li>magnetic_based_jacobian_get_J()
+: <a class="el" href="magnetic__based__jacobian_8c.html#ac3aca0a9af6ad84f6c010a215239f224">magnetic_based_jacobian.c</a>
+, <a class="el" href="magnetic__based__jacobian_8h.html#ac3aca0a9af6ad84f6c010a215239f224">magnetic_based_jacobian.h</a>
+</li>
+<li>magnetic_based_jacobian_get_J_mul_s()
+: <a class="el" href="magnetic__based__jacobian_8h.html#ae1e7849d86970a33ef5b784705ebc2fc">magnetic_based_jacobian.h</a>
+, <a class="el" href="magnetic__based__jacobian_8c.html#ae1e7849d86970a33ef5b784705ebc2fc">magnetic_based_jacobian.c</a>
+</li>
+<li>magnetic_based_jacobian_get_JTf()
+: <a class="el" href="magnetic__based__jacobian_8h.html#a87f1c7a7d6b151883c2308de275269b8">magnetic_based_jacobian.h</a>
+, <a class="el" href="magnetic__based__jacobian_8c.html#a87f1c7a7d6b151883c2308de275269b8">magnetic_based_jacobian.c</a>
+</li>
+<li>magnetic_based_jacobian_get_JTJ()
+: <a class="el" href="magnetic__based__jacobian_8h.html#aa66e6f52fd806c36f4b735b7c4c3307e">magnetic_based_jacobian.h</a>
+, <a class="el" href="magnetic__based__jacobian_8c.html#aa66e6f52fd806c36f4b735b7c4c3307e">magnetic_based_jacobian.c</a>
+</li>
+<li>magnetic_based_preprocessing_get_position()
+: <a class="el" href="magnetic__based__position_8h.html#af316f67cb87759b57bc815326b8d1cef">magnetic_based_position.h</a>
+, <a class="el" href="magnetic__based__position_8c.html#af316f67cb87759b57bc815326b8d1cef">magnetic_based_position.c</a>
+</li>
+<li>magnetic_based_test()
+: <a class="el" href="magnetic__based__test_8h.html#a94f4b9ae7750825fc3d332e8f1903f75">magnetic_based_test.h</a>
+, <a class="el" href="magnetic__based__test_8c.html#a94f4b9ae7750825fc3d332e8f1903f75">magnetic_based_test.c</a>
+</li>
+<li>matrix_add()
+: <a class="el" href="matrix_8h.html#ac7101bbaa3a2698658276a7e21501093">matrix.h</a>
+, <a class="el" href="matrix_8c.html#ac7101bbaa3a2698658276a7e21501093">matrix.c</a>
+</li>
+<li>matrix_add_to_diag()
+: <a class="el" href="matrix_8h.html#aa8acafd4181978f536976f8151e51516">matrix.h</a>
+, <a class="el" href="matrix_8c.html#aa8acafd4181978f536976f8151e51516">matrix.c</a>
+</li>
+<li>matrix_clear()
+: <a class="el" href="matrix_8c.html#a0e06b2cfb86340e88be7b1219bef0ce3">matrix.c</a>
+, <a class="el" href="matrix_8h.html#a0e06b2cfb86340e88be7b1219bef0ce3">matrix.h</a>
+</li>
+<li>matrix_copy()
+: <a class="el" href="matrix_8h.html#ae8d8daa117e9f96a5e29fe6c76c4998c">matrix.h</a>
+, <a class="el" href="matrix_8c.html#ae8d8daa117e9f96a5e29fe6c76c4998c">matrix.c</a>
+</li>
+<li>matrix_flex_part_print()
+: <a class="el" href="matrix_8h.html#a72297a60e572f85929989e813388a9c5">matrix.h</a>
+, <a class="el" href="matrix_8c.html#a72297a60e572f85929989e813388a9c5">matrix.c</a>
+</li>
+<li>matrix_flex_print()
+: <a class="el" href="matrix_8h.html#a82f374a9b8b215f0ef53d35401eae524">matrix.h</a>
+, <a class="el" href="matrix_8c.html#ad386233d68c73656a03641ddf3ecaaf2">matrix.c</a>
+</li>
+<li>matrix_get_abs_max_elem_and_index_in_part_column()
+: <a class="el" href="matrix_8h.html#a5f6a1948ec005cff4985559821c4943f">matrix.h</a>
+, <a class="el" href="matrix_8c.html#a5f6a1948ec005cff4985559821c4943f">matrix.c</a>
+</li>
+<li>matrix_get_abs_max_elem_in_column()
+: <a class="el" href="matrix_8h.html#a0a3d3cfa20ad3e75ad783af457343672">matrix.h</a>
+, <a class="el" href="matrix_8c.html#a0a3d3cfa20ad3e75ad783af457343672">matrix.c</a>
+</li>
+<li>matrix_get_abs_max_elem_in_part_column()
+: <a class="el" href="matrix_8h.html#a8d77cfae4f1da83acac929c1ce13d252">matrix.h</a>
+, <a class="el" href="matrix_8c.html#a8d77cfae4f1da83acac929c1ce13d252">matrix.c</a>
+</li>
+<li>matrix_get_column_vec()
+: <a class="el" href="matrix_8h.html#a3ae0b9f73f82716f3427a523a3412864">matrix.h</a>
+, <a class="el" href="matrix_8c.html#a3ae0b9f73f82716f3427a523a3412864">matrix.c</a>
+</li>
+<li>matrix_get_diag_mat()
+: <a class="el" href="matrix_8h.html#a18e47742f1653dcc4491badfe2537a0a">matrix.h</a>
+, <a class="el" href="matrix_8c.html#a18e47742f1653dcc4491badfe2537a0a">matrix.c</a>
+</li>
+<li>matrix_get_diag_mat_new()
+: <a class="el" href="matrix_8h.html#ae808f007791f060590d39c7668501988">matrix.h</a>
+, <a class="el" href="matrix_8c.html#ae808f007791f060590d39c7668501988">matrix.c</a>
+</li>
+<li>matrix_get_frob_norm()
+: <a class="el" href="matrix_8h.html#aaf85a32b8562c91d2d1889819580375e">matrix.h</a>
+, <a class="el" href="matrix_8c.html#aaf85a32b8562c91d2d1889819580375e">matrix.c</a>
+</li>
+<li>matrix_get_inv_low_triang()
+: <a class="el" href="matrix_8h.html#ae8e87640fa1a2d259ee4dc98c955cb48">matrix.h</a>
+, <a class="el" href="matrix_8c.html#ae8e87640fa1a2d259ee4dc98c955cb48">matrix.c</a>
+</li>
+<li>matrix_get_inv_upp_triang()
+: <a class="el" href="matrix_8h.html#ab166871472924745f70e2bb6e17498c8">matrix.h</a>
+, <a class="el" href="matrix_8c.html#ab166871472924745f70e2bb6e17498c8">matrix.c</a>
+</li>
+<li>matrix_get_low_triang()
+: <a class="el" href="matrix_8h.html#adfd93dda9be9b2e8df5805af7fee7845">matrix.h</a>
+, <a class="el" href="matrix_8c.html#adfd93dda9be9b2e8df5805af7fee7845">matrix.c</a>
+</li>
+<li>matrix_get_max_elem_in_column()
+: <a class="el" href="matrix_8h.html#aef8d1508ad101227ab255a714ab22b94">matrix.h</a>
+, <a class="el" href="matrix_8c.html#aef8d1508ad101227ab255a714ab22b94">matrix.c</a>
+</li>
+<li>matrix_get_max_elem_in_part_column()
+: <a class="el" href="matrix_8h.html#ad2cecc467ac6480ef0f3423f962b39bc">matrix.h</a>
+, <a class="el" href="matrix_8c.html#ad2cecc467ac6480ef0f3423f962b39bc">matrix.c</a>
+</li>
+<li>matrix_get_part_column_vec()
+: <a class="el" href="matrix_8c.html#ac20399f6a8de13b1f392a1e3f7c0fbf4">matrix.c</a>
+, <a class="el" href="matrix_8h.html#ac20399f6a8de13b1f392a1e3f7c0fbf4">matrix.h</a>
+</li>
+<li>matrix_get_rank()
+: <a class="el" href="matrix_8h.html#a53879e7c4cfbc96725aef9f8234be7dd">matrix.h</a>
+, <a class="el" href="matrix_8c.html#a53879e7c4cfbc96725aef9f8234be7dd">matrix.c</a>
+</li>
+<li>matrix_get_two_norm()
+: <a class="el" href="matrix_8h.html#aec03481d950677386122e3c8ba6a5cd0">matrix.h</a>
+, <a class="el" href="matrix_8c.html#aec03481d950677386122e3c8ba6a5cd0">matrix.c</a>
+</li>
+<li>matrix_get_upp_triang()
+: <a class="el" href="matrix_8h.html#abbaf8f39b2b7bb4bd2987f99674c1213">matrix.h</a>
+, <a class="el" href="matrix_8c.html#abbaf8f39b2b7bb4bd2987f99674c1213">matrix.c</a>
+</li>
+<li>matrix_in_place_transpose()
+: <a class="el" href="matrix_8c.html#a48b36217faeda15438f4e07c54d0ef9e">matrix.c</a>
+, <a class="el" href="matrix_8h.html#a48b36217faeda15438f4e07c54d0ef9e">matrix.h</a>
+</li>
+<li>matrix_init()
+: <a class="el" href="matrix_8h.html#acfd2bbc4a90915e57a4555694e842312">matrix.h</a>
+, <a class="el" href="matrix_8c.html#acfd2bbc4a90915e57a4555694e842312">matrix.c</a>
+</li>
+<li>matrix_mul()
+: <a class="el" href="matrix_8c.html#a550aa0d5a3212e35ad0af134895fd20a">matrix.c</a>
+, <a class="el" href="matrix_8h.html#a550aa0d5a3212e35ad0af134895fd20a">matrix.h</a>
+</li>
+<li>matrix_mul_col_vec_row_vec()
+: <a class="el" href="matrix_8h.html#acfd7c6f021f4fbcd393fe849c82f34de">matrix.h</a>
+, <a class="el" href="matrix_8c.html#acfd7c6f021f4fbcd393fe849c82f34de">matrix.c</a>
+</li>
+<li>matrix_mul_scalar()
+: <a class="el" href="matrix_8c.html#a51139e6c87b602e5e0ebfbc406fda35d">matrix.c</a>
+, <a class="el" href="matrix_8h.html#a51139e6c87b602e5e0ebfbc406fda35d">matrix.h</a>
+</li>
+<li>matrix_mul_scalar_vec_matr()
+: <a class="el" href="matrix_8h.html#ac735d13efe5b76ecf60ac13ec79da8e3">matrix.h</a>
+, <a class="el" href="matrix_8c.html#ac735d13efe5b76ecf60ac13ec79da8e3">matrix.c</a>
+</li>
+<li>matrix_mul_vec()
+: <a class="el" href="matrix_8c.html#ad610bcce232c69ca302550f57b1ad9fb">matrix.c</a>
+, <a class="el" href="matrix_8h.html#ad610bcce232c69ca302550f57b1ad9fb">matrix.h</a>
+</li>
+<li>matrix_part_copy()
+: <a class="el" href="matrix_8h.html#a56513a88eff05b0683320c532fadf945">matrix.h</a>
+, <a class="el" href="matrix_8c.html#a56513a88eff05b0683320c532fadf945">matrix.c</a>
+</li>
+<li>matrix_part_mul()
+: <a class="el" href="matrix_8h.html#a3763252ca00e4c8522ae1bfd5ef40f0a">matrix.h</a>
+, <a class="el" href="matrix_8c.html#a3763252ca00e4c8522ae1bfd5ef40f0a">matrix.c</a>
+</li>
+<li>matrix_part_mul_scalar_vec_matr()
+: <a class="el" href="matrix_8c.html#a06f75ae4924e3f0dfd0b6a25313dc731">matrix.c</a>
+, <a class="el" href="matrix_8h.html#a06f75ae4924e3f0dfd0b6a25313dc731">matrix.h</a>
+</li>
+<li>matrix_part_print()
+: <a class="el" href="matrix_8h.html#a72073ccd483f9cc438425d3d8ffd3029">matrix.h</a>
+, <a class="el" href="matrix_8c.html#a72073ccd483f9cc438425d3d8ffd3029">matrix.c</a>
+</li>
+<li>matrix_part_swap_rows()
+: <a class="el" href="matrix_8h.html#a3570c016691507c003dd7a54cb37e7e2">matrix.h</a>
+, <a class="el" href="matrix_8c.html#a3570c016691507c003dd7a54cb37e7e2">matrix.c</a>
+</li>
+<li>matrix_print()
+: <a class="el" href="matrix_8h.html#a32ab12965ec43c2acf65cf9dd510353a">matrix.h</a>
+, <a class="el" href="matrix_8c.html#a32ab12965ec43c2acf65cf9dd510353a">matrix.c</a>
+</li>
+<li>matrix_read()
+: <a class="el" href="matrix_8c.html#a722a0230185fd66f0cecbeae7d50ce1a">matrix.c</a>
+, <a class="el" href="matrix_8h.html#a722a0230185fd66f0cecbeae7d50ce1a">matrix.h</a>
+</li>
+<li>matrix_set_diag_elements()
+: <a class="el" href="matrix_8c.html#a49aa70a7d6ad76388ea08acfe43b7374">matrix.c</a>
+, <a class="el" href="matrix_8h.html#a49aa70a7d6ad76388ea08acfe43b7374">matrix.h</a>
+</li>
+<li>matrix_sub()
+: <a class="el" href="matrix_8h.html#aed6fab1ffa40243eeb08117215082be3">matrix.h</a>
+, <a class="el" href="matrix_8c.html#aed6fab1ffa40243eeb08117215082be3">matrix.c</a>
+</li>
+<li>matrix_swap_rows()
+: <a class="el" href="matrix_8h.html#a875d6c55a16ee9f8bf523b8c1c82bc6f">matrix.h</a>
+, <a class="el" href="matrix_8c.html#a875d6c55a16ee9f8bf523b8c1c82bc6f">matrix.c</a>
+</li>
+<li>matrix_test()
+: <a class="el" href="matrix__test_8c.html#aad3d0f4acb79e8a9b61eda59dc3a12b2">matrix_test.c</a>
+, <a class="el" href="matrix__test_8h.html#aad3d0f4acb79e8a9b61eda59dc3a12b2">matrix_test.h</a>
+</li>
+<li>matrix_trans_mul_itself()
+: <a class="el" href="matrix_8h.html#a0107887a6c40980fa639750be8262f01">matrix.h</a>
+, <a class="el" href="matrix_8c.html#a0107887a6c40980fa639750be8262f01">matrix.c</a>
+</li>
+<li>matrix_trans_mul_vec()
+: <a class="el" href="matrix_8c.html#a53b0a1829b2085414fb66a9e9bd6c7b7">matrix.c</a>
+, <a class="el" href="matrix_8h.html#a53b0a1829b2085414fb66a9e9bd6c7b7">matrix.h</a>
+</li>
+<li>matrix_transpose()
+: <a class="el" href="matrix_8h.html#ad7c9a682a3cc4ca33c030afa8798241a">matrix.h</a>
+, <a class="el" href="matrix_8c.html#ad7c9a682a3cc4ca33c030afa8798241a">matrix.c</a>
+</li>
+<li>matrix_vec_mul_matr()
+: <a class="el" href="matrix_8h.html#a3cf18a2c5c6ad62a4e0a0c00d27e2887">matrix.h</a>
+, <a class="el" href="matrix_8c.html#a3cf18a2c5c6ad62a4e0a0c00d27e2887">matrix.c</a>
+</li>
+<li>matrix_write()
+: <a class="el" href="matrix_8c.html#a90b6eafa665d34d7330581c32564d632">matrix.c</a>
+, <a class="el" href="matrix_8h.html#a90b6eafa665d34d7330581c32564d632">matrix.h</a>
+</li>
+<li>modified_gauss_newton()
+: <a class="el" href="modified__gauss__newton_8h.html#a7376799043ad2c27fac02371624051bc">modified_gauss_newton.h</a>
+, <a class="el" href="modified__gauss__newton_8c.html#a7376799043ad2c27fac02371624051bc">modified_gauss_newton.c</a>
+</li>
+<li>moore_penrose_get_pinv()
+: <a class="el" href="moore__penrose__pseudo__inverse_8c.html#a0ddd46446f074a0d38c04157686f5fce">moore_penrose_pseudo_inverse.c</a>
+, <a class="el" href="moore__penrose__pseudo__inverse_8h.html#a0ddd46446f074a0d38c04157686f5fce">moore_penrose_pseudo_inverse.h</a>
+</li>
+<li>moore_penrose_pinv_compute_print()
+: <a class="el" href="moore__penrose__pseudo__inverse_8h.html#ada5b18da23c06c1a6f2449bbfe97a7c9">moore_penrose_pseudo_inverse.h</a>
+, <a class="el" href="moore__penrose__pseudo__inverse_8c.html#ada5b18da23c06c1a6f2449bbfe97a7c9">moore_penrose_pseudo_inverse.c</a>
+</li>
+<li>moore_penrose_pinv_test()
+: <a class="el" href="moore__penrose__pinv__test_8c.html#a71ea6881aeb228d371528527d1974014">moore_penrose_pinv_test.c</a>
+, <a class="el" href="moore__penrose__pinv__test_8h.html#a71ea6881aeb228d371528527d1974014">moore_penrose_pinv_test.h</a>
+</li>
+<li>multipath_algo_own_norm_distr_test()
+: <a class="el" href="multipath__algo__own__norm__distr__test_8h.html#a557f81ea2791d07f6341dc44b0f169dd">multipath_algo_own_norm_distr_test.h</a>
+, <a class="el" href="multipath__algo__own__norm__distr__test_8c.html#a557f81ea2791d07f6341dc44b0f169dd">multipath_algo_own_norm_distr_test.c</a>
+</li>
+</ul>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="footer">Generated by
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+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
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+</iframe>
+</div>
+
+<div class="contents">
+ 
+
+<h3><a id="index_n"></a>- n -</h3><ul>
+<li>newton_raphson()
+: <a class="el" href="newton__raphson_8h.html#ac6837f695990867bd72cf23ee93961cc">newton_raphson.h</a>
+, <a class="el" href="newton__raphson_8c.html#ac6837f695990867bd72cf23ee93961cc">newton_raphson.c</a>
+</li>
+</ul>
+</div><!-- contents -->
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+</div>
+</body>
+</html>
diff --git a/doc/doxygen/html/globals_func_o.html b/doc/doxygen/html/globals_func_o.html
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+<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 1.8.16"/>
+<meta name="viewport" content="width=device-width, initial-scale=1"/>
+<title>RcdMathLib_doc: Globals</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"/>
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+ <tbody>
+ <tr style="height: 56px;">
+ <td id="projectalign" style="padding-left: 0.5em;">
+ <div id="projectname">RcdMathLib_doc
+ </div>
+ <div id="projectbrief">Open Source Library for Linear and Non-linear Algebra</div>
+ </td>
+ </tr>
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+</table>
+</div>
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+<script type="text/javascript">
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+ class="ui-resizable-handle">
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+<script type="text/javascript">
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+</script>
+<div id="doc-content">
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+ onmouseover="return searchBox.OnSearchSelectShow()"
+ onmouseout="return searchBox.OnSearchSelectHide()"
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+<div id="MSearchResultsWindow">
+<iframe src="javascript:void(0)" frameborder="0"
+ name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="contents">
+ 
+
+<h3><a id="index_o"></a>- o -</h3><ul>
+<li>opt_levenberg_marquardt()
+: <a class="el" href="levenberg__marquardt_8h.html#a2a72b2b6be15a9998b61a9c0097e3d5f">levenberg_marquardt.h</a>
+, <a class="el" href="levenberg__marquardt_8c.html#a2a72b2b6be15a9998b61a9c0097e3d5f">levenberg_marquardt.c</a>
+</li>
+<li>opt_levenberg_marquardt_correction()
+: <a class="el" href="levenberg__marquardt_8c.html#a741182c4bc201af44ac010bc4474b826">levenberg_marquardt.c</a>
+</li>
+<li>opt_levenberg_marquardt_get_mu0()
+: <a class="el" href="levenberg__marquardt_8h.html#a46fb5a9d6d185ff7f98c9cf34b56e34f">levenberg_marquardt.h</a>
+, <a class="el" href="levenberg__marquardt_8c.html#a46fb5a9d6d185ff7f98c9cf34b56e34f">levenberg_marquardt.c</a>
+</li>
+<li>optimization_exponential_data_test()
+: <a class="el" href="optimization__test_8h.html#a5f1f1ed377535a6d4c5758c38174fcb9">optimization_test.h</a>
+, <a class="el" href="optimization__test_8c.html#a5f1f1ed377535a6d4c5758c38174fcb9">optimization_test.c</a>
+</li>
+<li>optimization_get_exp_f()
+: <a class="el" href="optimization__test_8c.html#ac11e842f01767e97924c100df684476d">optimization_test.c</a>
+</li>
+<li>optimization_get_exp_Jacobian()
+: <a class="el" href="optimization__test_8c.html#a98fdeac6ec9a38cb63f48e7c0f0085f0">optimization_test.c</a>
+</li>
+<li>optimization_get_f_error()
+: <a class="el" href="optimization__test_8c.html#a610651298b8018db96cf21ee31740d3b">optimization_test.c</a>
+</li>
+<li>optimization_get_J()
+: <a class="el" href="optimization__test_8c.html#ac7361316d224b72baa4a681297d9f51c">optimization_test.c</a>
+</li>
+<li>optimization_get_sin_f()
+: <a class="el" href="optimization__test_8c.html#a1daefb42bf903899e7e1d5237ba62c0b">optimization_test.c</a>
+</li>
+<li>optimization_get_sin_Jacobian()
+: <a class="el" href="optimization__test_8c.html#acb161b62c37921a9edd0cb7aeb76342a">optimization_test.c</a>
+</li>
+<li>optimization_sinusoidal_data_test()
+: <a class="el" href="optimization__test_8c.html#a5f89a9747d6a7bec1ad0a80ba31647b9">optimization_test.c</a>
+, <a class="el" href="optimization__test_8h.html#a5f89a9747d6a7bec1ad0a80ba31647b9">optimization_test.h</a>
+</li>
+<li>optimization_test()
+: <a class="el" href="optimization__test_8h.html#a1062ae4598fabcf957ec0b855737db20">optimization_test.h</a>
+, <a class="el" href="optimization__test_8c.html#a1062ae4598fabcf957ec0b855737db20">optimization_test.c</a>
+</li>
+</ul>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
+ </ul>
+</div>
+</body>
+</html>
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+<meta name="viewport" content="width=device-width, initial-scale=1"/>
+<title>RcdMathLib_doc: Globals</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
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+ <tbody>
+ <tr style="height: 56px;">
+ <td id="projectalign" style="padding-left: 0.5em;">
+ <div id="projectname">RcdMathLib_doc
+ </div>
+ <div id="projectbrief">Open Source Library for Linear and Non-linear Algebra</div>
+ </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.16 -->
+<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('globals_func_p.html','');});
+/* @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="contents">
+ 
+
+<h3><a id="index_p"></a>- p -</h3><ul>
+<li>pos_algos_common_test()
+: <a class="el" href="pos__algos__common__test_8h.html#ad7c3809ba4d66f929854a4127784be8c">pos_algos_common_test.h</a>
+, <a class="el" href="pos__algos__common__test_8c.html#ad7c3809ba4d66f929854a4127784be8c">pos_algos_common_test.c</a>
+</li>
+<li>position_optimization_test()
+: <a class="el" href="position__optimization__test_8h.html#adf2ebfc668717eeac312234ac2b24166">position_optimization_test.h</a>
+, <a class="el" href="position__optimization__test_8c.html#adf2ebfc668717eeac312234ac2b24166">position_optimization_test.c</a>
+</li>
+</ul>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
+ </ul>
+</div>
+</body>
+</html>
diff --git a/doc/doxygen/html/globals_func_q.html b/doc/doxygen/html/globals_func_q.html
new file mode 100644
index 0000000000000000000000000000000000000000..8c906924dd557ee7b0a3d9e8c3c0d6881d58549e
--- /dev/null
+++ b/doc/doxygen/html/globals_func_q.html
@@ -0,0 +1,132 @@
+<!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 1.8.16"/>
+<meta name="viewport" content="width=device-width, initial-scale=1"/>
+<title>RcdMathLib_doc: Globals</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>
+<script type="text/javascript">
+/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&dn=gpl-2.0.txt GPL-v2 */
+ $(document).ready(initResizable);
+/* @license-end */</script>
+<link href="search/search.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="search/searchdata.js"></script>
+<script type="text/javascript" src="search/search.js"></script>
+<link href="doxygen.css" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+ <td id="projectalign" style="padding-left: 0.5em;">
+ <div id="projectname">RcdMathLib_doc
+ </div>
+ <div id="projectbrief">Open Source Library for Linear and Non-linear Algebra</div>
+ </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.16 -->
+<script type="text/javascript">
+/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&dn=gpl-2.0.txt GPL-v2 */
+var searchBox = new SearchBox("searchBox", "search",false,'Search');
+/* @license-end */
+</script>
+<script type="text/javascript" src="menudata.js"></script>
+<script type="text/javascript" src="menu.js"></script>
+<script type="text/javascript">
+/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&dn=gpl-2.0.txt GPL-v2 */
+$(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('globals_func_q.html','');});
+/* @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="contents">
+ 
+
+<h3><a id="index_q"></a>- q -</h3><ul>
+<li>qr_common_backward_subst()
+: <a class="el" href="qr__common_8h.html#adad26253c0e08a0d9fe2dfe0f6d64112">qr_common.h</a>
+, <a class="el" href="qr__common_8c.html#adad26253c0e08a0d9fe2dfe0f6d64112">qr_common.c</a>
+</li>
+<li>qr_common_get_reduced_QR()
+: <a class="el" href="qr__common_8c.html#a47e88b1e236d3637717ea144811cdc1b">qr_common.c</a>
+, <a class="el" href="qr__common_8h.html#a3144f99da14a69ec80bf9ded23714612">qr_common.h</a>
+</li>
+<li>qr_get_pinv()
+: <a class="el" href="qr__pseudo__inverse_8h.html#a9fb1ebdfe21c5a66cd322f00bf886d8d">qr_pseudo_inverse.h</a>
+, <a class="el" href="qr__pseudo__inverse_8c.html#a9fb1ebdfe21c5a66cd322f00bf886d8d">qr_pseudo_inverse.c</a>
+</li>
+<li>qr_givens_decomp()
+: <a class="el" href="qr__givens_8c.html#a07adca97c58afc057a5cff738f6473cc">qr_givens.c</a>
+, <a class="el" href="qr__givens_8h.html#a07adca97c58afc057a5cff738f6473cc">qr_givens.h</a>
+</li>
+<li>qr_givens_get_params()
+: <a class="el" href="qr__givens_8h.html#a53f748fbc6f8a129deb6a048d423d644">qr_givens.h</a>
+, <a class="el" href="qr__givens_8c.html#a53f748fbc6f8a129deb6a048d423d644">qr_givens.c</a>
+</li>
+<li>qr_householder_decomp()
+: <a class="el" href="qr__householder_8h.html#a926e8bce91b658f64837d5c93b0bc74f">qr_householder.h</a>
+, <a class="el" href="qr__householder_8c.html#a926e8bce91b658f64837d5c93b0bc74f">qr_householder.c</a>
+</li>
+<li>qr_pinv_test()
+: <a class="el" href="qr__pinv__test_8c.html#a292d2351f35310e579dd0741ab4857db">qr_pinv_test.c</a>
+, <a class="el" href="qr__pinv__test_8h.html#a292d2351f35310e579dd0741ab4857db">qr_pinv_test.h</a>
+</li>
+</ul>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
+ </ul>
+</div>
+</body>
+</html>
diff --git a/doc/doxygen/html/globals_func_r.html b/doc/doxygen/html/globals_func_r.html
new file mode 100644
index 0000000000000000000000000000000000000000..d904efce582a854fc2cd51c7ab0668727addd9b8
--- /dev/null
+++ b/doc/doxygen/html/globals_func_r.html
@@ -0,0 +1,108 @@
+<!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 1.8.16"/>
+<meta name="viewport" content="width=device-width, initial-scale=1"/>
+<title>RcdMathLib_doc: Globals</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>
+<script type="text/javascript">
+/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&dn=gpl-2.0.txt GPL-v2 */
+ $(document).ready(initResizable);
+/* @license-end */</script>
+<link href="search/search.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="search/searchdata.js"></script>
+<script type="text/javascript" src="search/search.js"></script>
+<link href="doxygen.css" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+ <td id="projectalign" style="padding-left: 0.5em;">
+ <div id="projectname">RcdMathLib_doc
+ </div>
+ <div id="projectbrief">Open Source Library for Linear and Non-linear Algebra</div>
+ </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.16 -->
+<script type="text/javascript">
+/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&dn=gpl-2.0.txt GPL-v2 */
+var searchBox = new SearchBox("searchBox", "search",false,'Search');
+/* @license-end */
+</script>
+<script type="text/javascript" src="menudata.js"></script>
+<script type="text/javascript" src="menu.js"></script>
+<script type="text/javascript">
+/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&dn=gpl-2.0.txt GPL-v2 */
+$(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('globals_func_r.html','');});
+/* @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="contents">
+ 
+
+<h3><a id="index_r"></a>- r -</h3><ul>
+<li>recog_mitigate_multipath()
+: <a class="el" href="multipath__dist__detection__mitigation_8h.html#a2840a12d90b5b26b59d50f449f754fbd">multipath_dist_detection_mitigation.h</a>
+, <a class="el" href="multipath__dist__detection__mitigation_8c.html#a8cce1ff9263404ca1e58d67910f38d47">multipath_dist_detection_mitigation.c</a>
+</li>
+</ul>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
+ </ul>
+</div>
+</body>
+</html>
diff --git a/doc/doxygen/html/globals_func_s.html b/doc/doxygen/html/globals_func_s.html
new file mode 100644
index 0000000000000000000000000000000000000000..86a5f848a5fbd739e557b993da0337cd9884b5fe
--- /dev/null
+++ b/doc/doxygen/html/globals_func_s.html
@@ -0,0 +1,168 @@
+<!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 1.8.16"/>
+<meta name="viewport" content="width=device-width, initial-scale=1"/>
+<title>RcdMathLib_doc: Globals</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>
+<script type="text/javascript">
+/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&dn=gpl-2.0.txt GPL-v2 */
+ $(document).ready(initResizable);
+/* @license-end */</script>
+<link href="search/search.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="search/searchdata.js"></script>
+<script type="text/javascript" src="search/search.js"></script>
+<link href="doxygen.css" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+ <td id="projectalign" style="padding-left: 0.5em;">
+ <div id="projectname">RcdMathLib_doc
+ </div>
+ <div id="projectbrief">Open Source Library for Linear and Non-linear Algebra</div>
+ </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.16 -->
+<script type="text/javascript">
+/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&dn=gpl-2.0.txt GPL-v2 */
+var searchBox = new SearchBox("searchBox", "search",false,'Search');
+/* @license-end */
+</script>
+<script type="text/javascript" src="menudata.js"></script>
+<script type="text/javascript" src="menu.js"></script>
+<script type="text/javascript">
+/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&dn=gpl-2.0.txt GPL-v2 */
+$(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('globals_func_s.html','');});
+/* @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="contents">
+ 
+
+<h3><a id="index_s"></a>- s -</h3><ul>
+<li>shell_sort()
+: <a class="el" href="shell__sort_8h.html#a569649d96b2e8f453793ea166d3e96a6">shell_sort.h</a>
+, <a class="el" href="shell__sort_8c.html#a569649d96b2e8f453793ea166d3e96a6">shell_sort.c</a>
+</li>
+<li>sim_UWB_dist()
+: <a class="el" href="multipath__dist__detection__mitigation_8c.html#a2776d1c18727f8feb5f0a83a6963e957">multipath_dist_detection_mitigation.c</a>
+, <a class="el" href="multipath__dist__detection__mitigation_8h.html#a2776d1c18727f8feb5f0a83a6963e957">multipath_dist_detection_mitigation.h</a>
+</li>
+<li>solve()
+: <a class="el" href="solve_8h.html#a829e66492dc3073c0f7a190cda9b7db1">solve.h</a>
+, <a class="el" href="solve_8c.html#a829e66492dc3073c0f7a190cda9b7db1">solve.c</a>
+</li>
+<li>solve_big_matrix_test()
+: <a class="el" href="solve__test_8c.html#acb6c59801ca040ac66f436b8f332a371">solve_test.c</a>
+, <a class="el" href="solve__test_8h.html#acb6c59801ca040ac66f436b8f332a371">solve_test.h</a>
+</li>
+<li>solve_givens()
+: <a class="el" href="solve_8h.html#ac728f92ed0a0cba0e8776222acfe1d88">solve.h</a>
+, <a class="el" href="solve_8c.html#ac728f92ed0a0cba0e8776222acfe1d88">solve.c</a>
+</li>
+<li>solve_householder()
+: <a class="el" href="solve_8h.html#ab6336aff7fbff116a6118b39a0d1e2cd">solve.h</a>
+, <a class="el" href="solve_8c.html#ab6336aff7fbff116a6118b39a0d1e2cd">solve.c</a>
+</li>
+<li>solve_lu_decomp()
+: <a class="el" href="solve_8h.html#a96faf0d4f04f27a12e4ced0bffd0f634">solve.h</a>
+, <a class="el" href="solve_8c.html#a96faf0d4f04f27a12e4ced0bffd0f634">solve.c</a>
+</li>
+<li>solve_test()
+: <a class="el" href="solve__test_8c.html#a468b4492daa139d24a18624526001220">solve_test.c</a>
+, <a class="el" href="solve__test_8h.html#a468b4492daa139d24a18624526001220">solve_test.h</a>
+</li>
+<li>svd()
+: <a class="el" href="svd_8h.html#acdccfce5b7732e6334ca5a521c57e63e">svd.h</a>
+, <a class="el" href="svd_8c.html#acdccfce5b7732e6334ca5a521c57e63e">svd.c</a>
+</li>
+<li>svd_compute_print_U_S_V_s()
+: <a class="el" href="svd_8h.html#a55b4a07eb7dbd09f7fa1d15debd44595">svd.h</a>
+, <a class="el" href="svd_8c.html#a55b4a07eb7dbd09f7fa1d15debd44595">svd.c</a>
+</li>
+<li>svd_get_reciproc_singular_values()
+: <a class="el" href="svd_8h.html#ae92d53fe415ccfd63a21bb36936294cb">svd.h</a>
+, <a class="el" href="svd_8c.html#ae92d53fe415ccfd63a21bb36936294cb">svd.c</a>
+</li>
+<li>svd_get_S_dim()
+: <a class="el" href="svd_8h.html#aeb7ac3eac076a0f52c729849599808a6">svd.h</a>
+, <a class="el" href="svd_8c.html#aeb7ac3eac076a0f52c729849599808a6">svd.c</a>
+</li>
+<li>svd_get_single_values_num()
+: <a class="el" href="svd_8c.html#a91b85e542b1fc44d3500ba52aecb8e0e">svd.c</a>
+, <a class="el" href="svd_8h.html#a91b85e542b1fc44d3500ba52aecb8e0e">svd.h</a>
+</li>
+<li>svd_get_U_dim()
+: <a class="el" href="svd_8h.html#a8194826f85cc3105c4d8d4f342ca8df8">svd.h</a>
+, <a class="el" href="svd_8c.html#a8194826f85cc3105c4d8d4f342ca8df8">svd.c</a>
+</li>
+<li>svd_get_V_dim()
+: <a class="el" href="svd_8c.html#aa65fbd187ce13d0da98cecb40cfa3b07">svd.c</a>
+, <a class="el" href="svd_8h.html#aa65fbd187ce13d0da98cecb40cfa3b07">svd.h</a>
+</li>
+<li>svd_test()
+: <a class="el" href="svd__test_8h.html#a5b3fa4be9f289d4078fdd009719a4077">svd_test.h</a>
+, <a class="el" href="svd__test_8c.html#a5b3fa4be9f289d4078fdd009719a4077">svd_test.c</a>
+</li>
+</ul>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
+ </ul>
+</div>
+</body>
+</html>
diff --git a/doc/doxygen/html/globals_func_t.html b/doc/doxygen/html/globals_func_t.html
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+<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 1.8.16"/>
+<meta name="viewport" content="width=device-width, initial-scale=1"/>
+<title>RcdMathLib_doc: Globals</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"/>
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+<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>
+<link href="doxygen.css" rel="stylesheet" type="text/css" />
+</head>
+<body>
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+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+ <td id="projectalign" style="padding-left: 0.5em;">
+ <div id="projectname">RcdMathLib_doc
+ </div>
+ <div id="projectbrief">Open Source Library for Linear and Non-linear Algebra</div>
+ </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.16 -->
+<script type="text/javascript">
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+
+<!-- iframe showing the search results (closed by default) -->
+<div id="MSearchResultsWindow">
+<iframe src="javascript:void(0)" frameborder="0"
+ name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="contents">
+ 
+
+<h3><a id="index_t"></a>- t -</h3><ul>
+<li>triangular_matrices_test()
+: <a class="el" href="matrix__test_8h.html#af3bd1663337eb8dbe0fbcb49b517621f">matrix_test.h</a>
+, <a class="el" href="matrix__test_8c.html#af3bd1663337eb8dbe0fbcb49b517621f">matrix_test.c</a>
+</li>
+<li>trilateration1()
+: <a class="el" href="trilateration_8c.html#a95fc45efcb10019be21704539eeedefb">trilateration.c</a>
+, <a class="el" href="trilateration_8h.html#a95fc45efcb10019be21704539eeedefb">trilateration.h</a>
+</li>
+<li>trilateration2()
+: <a class="el" href="trilateration_8h.html#adf749802a4d86c2a97a6bac50d17bfea">trilateration.h</a>
+, <a class="el" href="trilateration_8c.html#adf749802a4d86c2a97a6bac50d17bfea">trilateration.c</a>
+</li>
+<li>trilateration_get_A_matrix()
+: <a class="el" href="trilateration_8c.html#a3c9dfccb08c7e4cdb5533cd6bc8b5832">trilateration.c</a>
+, <a class="el" href="trilateration_8h.html#a3c9dfccb08c7e4cdb5533cd6bc8b5832">trilateration.h</a>
+</li>
+<li>trilateration_get_b_vector()
+: <a class="el" href="trilateration_8h.html#abe0c5c3a77d41a6a94aceb8069ec2082">trilateration.h</a>
+, <a class="el" href="trilateration_8c.html#abe0c5c3a77d41a6a94aceb8069ec2082">trilateration.c</a>
+</li>
+<li>trilateration_get_particular_solution()
+: <a class="el" href="trilateration_8h.html#a76695d4831cf7c08b468fe56f117b358">trilateration.h</a>
+, <a class="el" href="trilateration_8c.html#a76695d4831cf7c08b468fe56f117b358">trilateration.c</a>
+</li>
+<li>trilateration_get_quadratic_equation_solution()
+: <a class="el" href="trilateration_8h.html#a821d668be2cee0fa1881c05ab99e05fe">trilateration.h</a>
+, <a class="el" href="trilateration_8c.html#a45883b7c5af43c478bb488b536faa56e">trilateration.c</a>
+</li>
+<li>trilateration_get_rank_and_homogeneous_solution()
+: <a class="el" href="trilateration_8h.html#ab5f06e68df75b4708d722c268932578c">trilateration.h</a>
+, <a class="el" href="trilateration_8c.html#ab5f06e68df75b4708d722c268932578c">trilateration.c</a>
+</li>
+<li>trilateration_preprocessed_get_particular_solution()
+: <a class="el" href="trilateration_8c.html#aadf622c7ec43dce57988a9aef1533758">trilateration.c</a>
+, <a class="el" href="trilateration_8h.html#aadf622c7ec43dce57988a9aef1533758">trilateration.h</a>
+</li>
+<li>trilateration_solve_linear_equation()
+: <a class="el" href="trilateration_8c.html#a4270371ead754327c478d19d57bfafba">trilateration.c</a>
+, <a class="el" href="trilateration_8h.html#a4270371ead754327c478d19d57bfafba">trilateration.h</a>
+</li>
+</ul>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
+ </ul>
+</div>
+</body>
+</html>
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+<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 1.8.16"/>
+<meta name="viewport" content="width=device-width, initial-scale=1"/>
+<title>RcdMathLib_doc: Globals</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>
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+ $(document).ready(initResizable);
+/* @license-end */</script>
+<link href="search/search.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="search/searchdata.js"></script>
+<script type="text/javascript" src="search/search.js"></script>
+<link href="doxygen.css" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+ <td id="projectalign" style="padding-left: 0.5em;">
+ <div id="projectname">RcdMathLib_doc
+ </div>
+ <div id="projectbrief">Open Source Library for Linear and Non-linear Algebra</div>
+ </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.16 -->
+<script type="text/javascript">
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+ <div id="splitbar" style="-moz-user-select:none;"
+ class="ui-resizable-handle">
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+</div>
+<script type="text/javascript">
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+$(document).ready(function(){initNavTree('globals_func_u.html','');});
+/* @license-end */
+</script>
+<div id="doc-content">
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+ onmouseover="return searchBox.OnSearchSelectShow()"
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+
+<!-- iframe showing the search results (closed by default) -->
+<div id="MSearchResultsWindow">
+<iframe src="javascript:void(0)" frameborder="0"
+ name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="contents">
+ 
+
+<h3><a id="index_u"></a>- u -</h3><ul>
+<li>utils_get_median()
+: <a class="el" href="utils_8h.html#a971d455baef2d25c61e94c4bc4ac13ee">utils.h</a>
+, <a class="el" href="utils_8c.html#a971d455baef2d25c61e94c4bc4ac13ee">utils.c</a>
+</li>
+<li>utils_get_save_square_root()
+: <a class="el" href="utils_8c.html#a8cda5a6c15e99e2b76abfb04316301d8">utils.c</a>
+, <a class="el" href="utils_8h.html#a8cda5a6c15e99e2b76abfb04316301d8">utils.h</a>
+</li>
+<li>utils_max()
+: <a class="el" href="utils_8h.html#a0ae8ea233ea6c519cd0434f8c5bde5e5">utils.h</a>
+, <a class="el" href="utils_8c.html#a0ae8ea233ea6c519cd0434f8c5bde5e5">utils.c</a>
+</li>
+<li>utils_mean()
+: <a class="el" href="utils_8c.html#acda1e3a1b76af6e0e57b507472986ad6">utils.c</a>
+, <a class="el" href="utils_8h.html#acda1e3a1b76af6e0e57b507472986ad6">utils.h</a>
+</li>
+<li>utils_min()
+: <a class="el" href="utils_8h.html#ab734a543e5543adb2bd98e1bf279a23d">utils.h</a>
+, <a class="el" href="utils_8c.html#ab734a543e5543adb2bd98e1bf279a23d">utils.c</a>
+</li>
+<li>utils_moving_average()
+: <a class="el" href="utils_8h.html#a535a04a4bff82c88599e4648dfa7cfe1">utils.h</a>
+, <a class="el" href="utils_8c.html#a535a04a4bff82c88599e4648dfa7cfe1">utils.c</a>
+</li>
+<li>utils_printf()
+: <a class="el" href="utils_8h.html#a335d8d6c4b945638261228cd116cccd6">utils.h</a>
+, <a class="el" href="utils_8c.html#a335d8d6c4b945638261228cd116cccd6">utils.c</a>
+</li>
+<li>utils_sind()
+: <a class="el" href="utils_8c.html#aad6440ba12fa7e2e1fae5ba6dc99cabf">utils.c</a>
+, <a class="el" href="utils_8h.html#aad6440ba12fa7e2e1fae5ba6dc99cabf">utils.h</a>
+</li>
+<li>utils_swap()
+: <a class="el" href="utils_8h.html#ad21f654c48115ba2419ca98644a44ae9">utils.h</a>
+, <a class="el" href="utils_8c.html#ad21f654c48115ba2419ca98644a44ae9">utils.c</a>
+</li>
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+: <a class="el" href="utils__test_8h.html#a91c61f3d2a5985466b46f5b15ad0faf7">utils_test.h</a>
+, <a class="el" href="utils__test_8c.html#a91c61f3d2a5985466b46f5b15ad0faf7">utils_test.c</a>
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+<li>utils_to_radian()
+: <a class="el" href="utils_8h.html#a689d2d3db40d341609423404abc5a23a">utils.h</a>
+, <a class="el" href="utils_8c.html#a689d2d3db40d341609423404abc5a23a">utils.c</a>
+</li>
+<li>utils_u8_max()
+: <a class="el" href="utils_8h.html#a8163bb6a1c9742b9607fd87c6b3df5c5">utils.h</a>
+, <a class="el" href="utils_8c.html#a8163bb6a1c9742b9607fd87c6b3df5c5">utils.c</a>
+</li>
+<li>utils_u8_min()
+: <a class="el" href="utils_8c.html#a81dabd4841ab656130497f0600979850">utils.c</a>
+, <a class="el" href="utils_8h.html#a81dabd4841ab656130497f0600979850">utils.h</a>
+</li>
+</ul>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
+ </ul>
+</div>
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+<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 1.8.16"/>
+<meta name="viewport" content="width=device-width, initial-scale=1"/>
+<title>RcdMathLib_doc: Globals</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>
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+/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&dn=gpl-2.0.txt GPL-v2 */
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+/* @license-end */</script>
+<link href="search/search.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="search/searchdata.js"></script>
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+<link href="doxygen.css" rel="stylesheet" type="text/css" />
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+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+ <td id="projectalign" style="padding-left: 0.5em;">
+ <div id="projectname">RcdMathLib_doc
+ </div>
+ <div id="projectbrief">Open Source Library for Linear and Non-linear Algebra</div>
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+</table>
+</div>
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+<script type="text/javascript" src="menudata.js"></script>
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+<script type="text/javascript">
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+ </div>
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+ <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('globals_func_v.html','');});
+/* @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="contents">
+ 
+
+<h3><a id="index_v"></a>- v -</h3><ul>
+<li>vector_add()
+: <a class="el" href="vector_8h.html#a92917951880002814392c2367896d7a0">vector.h</a>
+, <a class="el" href="vector_8c.html#a92917951880002814392c2367896d7a0">vector.c</a>
+</li>
+<li>vector_clear()
+: <a class="el" href="vector_8c.html#ac4b023769faf53e06c2ed1f2fd928d14">vector.c</a>
+, <a class="el" href="vector_8h.html#a758d38ad9623aa8c385bce765a3b7d17">vector.h</a>
+</li>
+<li>vector_copy()
+: <a class="el" href="vector_8h.html#ae9d3378f23ba835c727245b434b8a7f6">vector.h</a>
+, <a class="el" href="vector_8c.html#ae9d3378f23ba835c727245b434b8a7f6">vector.c</a>
+</li>
+<li>vector_flex_print()
+: <a class="el" href="vector_8c.html#ab2827264910e858f238868695a92db4b">vector.c</a>
+, <a class="el" href="vector_8h.html#ab2827264910e858f238868695a92db4b">vector.h</a>
+</li>
+<li>vector_get_elements()
+: <a class="el" href="vector_8h.html#a1348a041e323e7b333482242b51a7674">vector.h</a>
+, <a class="el" href="vector_8c.html#a1348a041e323e7b333482242b51a7674">vector.c</a>
+</li>
+<li>vector_get_euclidean_distance()
+: <a class="el" href="vector_8h.html#abbb6bf046e47a8634c15c43a508cacb9">vector.h</a>
+, <a class="el" href="vector_8c.html#abbb6bf046e47a8634c15c43a508cacb9">vector.c</a>
+</li>
+<li>vector_get_index_vector()
+: <a class="el" href="vector_8h.html#a45dfc0cdad1f1a542df4029b498766ba">vector.h</a>
+, <a class="el" href="vector_8c.html#a45dfc0cdad1f1a542df4029b498766ba">vector.c</a>
+</li>
+<li>vector_get_max_and_index()
+: <a class="el" href="vector_8c.html#a982bc2f9e4755461eac46c6322b4562d">vector.c</a>
+, <a class="el" href="vector_8h.html#a982bc2f9e4755461eac46c6322b4562d">vector.h</a>
+</li>
+<li>vector_get_mean_value()
+: <a class="el" href="vector_8h.html#a4a8fae4c69677390016c116123d9eff8">vector.h</a>
+, <a class="el" href="vector_8c.html#a4a8fae4c69677390016c116123d9eff8">vector.c</a>
+</li>
+<li>vector_get_norm2()
+: <a class="el" href="vector_8h.html#a4cfc452fdff3e32a601ccff140cd9ae6">vector.h</a>
+, <a class="el" href="vector_8c.html#a4cfc452fdff3e32a601ccff140cd9ae6">vector.c</a>
+</li>
+<li>vector_get_residual()
+: <a class="el" href="vector_8h.html#a1fcbe913017a3b6802d5f66c8ef699ac">vector.h</a>
+, <a class="el" href="vector_8c.html#a1fcbe913017a3b6802d5f66c8ef699ac">vector.c</a>
+</li>
+<li>vector_get_scalar_product()
+: <a class="el" href="vector_8h.html#a5f4b706c07b9b0f7a4983d80fba99e4e">vector.h</a>
+, <a class="el" href="vector_8c.html#a5f4b706c07b9b0f7a4983d80fba99e4e">vector.c</a>
+</li>
+<li>vector_get_square_norm2()
+: <a class="el" href="vector_8h.html#aab9d7950d4ba03b0e1a23de5b7fae6a6">vector.h</a>
+, <a class="el" href="vector_8c.html#aab9d7950d4ba03b0e1a23de5b7fae6a6">vector.c</a>
+</li>
+<li>vector_get_sum()
+: <a class="el" href="vector_8h.html#af1767c4decdd472ed81035a19cf2152b">vector.h</a>
+, <a class="el" href="vector_8c.html#af1767c4decdd472ed81035a19cf2152b">vector.c</a>
+</li>
+<li>vector_in_place_scalar_mul()
+: <a class="el" href="vector_8h.html#a90a92f618957807f90ab1d8a8d9150d4">vector.h</a>
+, <a class="el" href="vector_8c.html#a90a92f618957807f90ab1d8a8d9150d4">vector.c</a>
+</li>
+<li>vector_is_equal()
+: <a class="el" href="vector_8c.html#af98f2e3896ce7b96d598b11033ac1795">vector.c</a>
+, <a class="el" href="vector_8h.html#af98f2e3896ce7b96d598b11033ac1795">vector.h</a>
+</li>
+<li>vector_mul()
+: <a class="el" href="vector_8h.html#a099aa56dd0f260c77afaf8b62b56b2c5">vector.h</a>
+, <a class="el" href="vector_8c.html#a099aa56dd0f260c77afaf8b62b56b2c5">vector.c</a>
+</li>
+<li>vector_print()
+: <a class="el" href="vector_8h.html#a8f24286db94dba6ab181edcdfe296262">vector.h</a>
+, <a class="el" href="vector_8c.html#a8f24286db94dba6ab181edcdfe296262">vector.c</a>
+</li>
+<li>vector_print_u8_array()
+: <a class="el" href="vector_8c.html#a8ec75dc585746d950ab517e9929f31fe">vector.c</a>
+, <a class="el" href="vector_8h.html#a8ec75dc585746d950ab517e9929f31fe">vector.h</a>
+</li>
+<li>vector_scalar_div()
+: <a class="el" href="vector_8c.html#ae41fee7d298da0645c37ed6af7acea0b">vector.c</a>
+, <a class="el" href="vector_8h.html#ae41fee7d298da0645c37ed6af7acea0b">vector.h</a>
+</li>
+<li>vector_scalar_mul()
+: <a class="el" href="vector_8h.html#a3c0bdd0e463fb34757a71470c55af845">vector.h</a>
+, <a class="el" href="vector_8c.html#a3c0bdd0e463fb34757a71470c55af845">vector.c</a>
+</li>
+<li>vector_square()
+: <a class="el" href="vector_8h.html#afc68fab0b07c974faf5a457d20b01c58">vector.h</a>
+, <a class="el" href="vector_8c.html#afc68fab0b07c974faf5a457d20b01c58">vector.c</a>
+</li>
+<li>vector_sub()
+: <a class="el" href="vector_8h.html#a3bbd999b10064c2ede2bd427aa040b63">vector.h</a>
+, <a class="el" href="vector_8c.html#a3bbd999b10064c2ede2bd427aa040b63">vector.c</a>
+</li>
+<li>vector_test()
+: <a class="el" href="vector__test_8h.html#ab0aed13072bc11b97766634c625d6f21">vector_test.h</a>
+, <a class="el" href="vector__test_8c.html#ab0aed13072bc11b97766634c625d6f21">vector_test.c</a>
+</li>
+<li>vector_uint32_is_equal()
+: <a class="el" href="vector_8h.html#a421f989647bf55af29c0f55b7f33d35a">vector.h</a>
+, <a class="el" href="vector_8c.html#a421f989647bf55af29c0f55b7f33d35a">vector.c</a>
+</li>
+</ul>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
+ </ul>
+</div>
+</body>
+</html>
diff --git a/doc/doxygen/html/globals_g.html b/doc/doxygen/html/globals_g.html
new file mode 100644
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+++ b/doc/doxygen/html/globals_g.html
@@ -0,0 +1,164 @@
+<!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 1.8.16"/>
+<meta name="viewport" content="width=device-width, initial-scale=1"/>
+<title>RcdMathLib_doc: Globals</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>
+<script type="text/javascript">
+/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&dn=gpl-2.0.txt GPL-v2 */
+ $(document).ready(initResizable);
+/* @license-end */</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>
+<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">RcdMathLib_doc
+ </div>
+ <div id="projectbrief">Open Source Library for Linear and Non-linear Algebra</div>
+ </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.16 -->
+<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 */
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+ 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('globals_g.html','');});
+/* @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="contents">
+<div class="textblock">Here is a list of all documented functions, variables, defines, enums, and typedefs with links to the documentation:</div>
+
+<h3><a id="index_g"></a>- g -</h3><ul>
+<li>Gauss
+: <a class="el" href="pseudo__inverse_8h.html#aeead1612e2f846fe32e4c50e1ab3d7c3ab15a7891aa5223439e4692a1048cb220">pseudo_inverse.h</a>
+</li>
+<li>get_damped_norm()
+: <a class="el" href="damped__newton__raphson_8c.html#a46f90a02170f4f35f9b3bdbc5c65271a">damped_newton_raphson.c</a>
+, <a class="el" href="damped__newton__raphson_8h.html#a46f90a02170f4f35f9b3bdbc5c65271a">damped_newton_raphson.h</a>
+</li>
+<li>get_delta_x()
+: <a class="el" href="damped__newton__raphson_8c.html#acd5be84f1d01dfb379d85cc8aef8b65e">damped_newton_raphson.c</a>
+, <a class="el" href="damped__newton__raphson_8h.html#acd5be84f1d01dfb379d85cc8aef8b65e">damped_newton_raphson.h</a>
+</li>
+<li>get_exact_distance_to_anchor()
+: <a class="el" href="multipath__dist__detection__mitigation_8h.html#a38019260396a33562d5a1912c691c26a">multipath_dist_detection_mitigation.h</a>
+, <a class="el" href="multipath__dist__detection__mitigation_8c.html#a38019260396a33562d5a1912c691c26a">multipath_dist_detection_mitigation.c</a>
+</li>
+<li>get_non_lin_sys_f1_()
+: <a class="el" href="fsolve__test_8c.html#aefd0d3fa000963221de289a3933b7c9b">fsolve_test.c</a>
+</li>
+<li>get_non_lin_sys_f2_()
+: <a class="el" href="fsolve__test_8c.html#ae36fe8e55d180d348ef331efbbc5b908">fsolve_test.c</a>
+</li>
+<li>get_non_lin_sys_f3_()
+: <a class="el" href="fsolve__test_8c.html#a8f8a1fe785d5304202601b95e1e6871a">fsolve_test.c</a>
+</li>
+<li>get_non_lin_sys_J1_()
+: <a class="el" href="fsolve__test_8c.html#a3344cde9f5060d7ab962fbaaf1cdd88f">fsolve_test.c</a>
+</li>
+<li>get_non_lin_sys_J2_()
+: <a class="el" href="fsolve__test_8c.html#ab95955c80b1896b9e75a04faa4ce742e">fsolve_test.c</a>
+</li>
+<li>get_non_lin_sys_J3_()
+: <a class="el" href="fsolve__test_8c.html#a6686e4624961ca943bebb616e763a100">fsolve_test.c</a>
+</li>
+<li>get_norm_distr_rand_num()
+: <a class="el" href="norm__dist__rnd__generator_8c.html#a7c43c3270c6c14bb23f14d071f6132bf">norm_dist_rnd_generator.c</a>
+, <a class="el" href="norm__dist__rnd__generator_8h.html#a35eb81d6885b8d16d225b230f88a919a">norm_dist_rnd_generator.h</a>
+</li>
+<li>get_optimal_partial_r_noised_vec()
+: <a class="el" href="multipath__dist__detection__mitigation_8h.html#a540837de8e8a9d4e5dbaac1814b19b5e">multipath_dist_detection_mitigation.h</a>
+, <a class="el" href="multipath__dist__detection__mitigation_8c.html#a540837de8e8a9d4e5dbaac1814b19b5e">multipath_dist_detection_mitigation.c</a>
+</li>
+<li>get_optimal_partial_ref_matrix()
+: <a class="el" href="multipath__dist__detection__mitigation_8h.html#a6530e8d8955c511d3452748fec987a39">multipath_dist_detection_mitigation.h</a>
+, <a class="el" href="multipath__dist__detection__mitigation_8c.html#a6530e8d8955c511d3452748fec987a39">multipath_dist_detection_mitigation.c</a>
+</li>
+<li>get_PDOP()
+: <a class="el" href="DOP_8c.html#a8b878ff6d73e8da6fbc3ae40f01b1ce4">DOP.c</a>
+, <a class="el" href="DOP_8h.html#a8b878ff6d73e8da6fbc3ae40f01b1ce4">DOP.h</a>
+</li>
+<li>get_rand_num()
+: <a class="el" href="norm__dist__rnd__generator_8c.html#a5767383d0f4f1fed2c194695a22f56cb">norm_dist_rnd_generator.c</a>
+, <a class="el" href="norm__dist__rnd__generator_8h.html#a58c36346c01fb7f1a336a610b177b903">norm_dist_rnd_generator.h</a>
+</li>
+<li>Givens
+: <a class="el" href="pseudo__inverse_8h.html#aeead1612e2f846fe32e4c50e1ab3d7c3aab4d4fdd6aa659e7306fa9abf3d0a991">pseudo_inverse.h</a>
+</li>
+<li>givens_test()
+: <a class="el" href="givens__test_8h.html#a7b8199da35e2aec77e76bbb9c52a28ae">givens_test.h</a>
+, <a class="el" href="givens__test_8c.html#a7b8199da35e2aec77e76bbb9c52a28ae">givens_test.c</a>
+</li>
+</ul>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
+ </ul>
+</div>
+</body>
+</html>
diff --git a/doc/doxygen/html/globals_h.html b/doc/doxygen/html/globals_h.html
new file mode 100644
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+++ b/doc/doxygen/html/globals_h.html
@@ -0,0 +1,111 @@
+<!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 1.8.16"/>
+<meta name="viewport" content="width=device-width, initial-scale=1"/>
+<title>RcdMathLib_doc: Globals</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>
+<script type="text/javascript">
+/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&dn=gpl-2.0.txt GPL-v2 */
+ $(document).ready(initResizable);
+/* @license-end */</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>
+<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">RcdMathLib_doc
+ </div>
+ <div id="projectbrief">Open Source Library for Linear and Non-linear Algebra</div>
+ </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.16 -->
+<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 */
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+ initMenu('',true,false,'search.php','Search');
+ $(document).ready(function() { init_search(); });
+});
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+<li>Householder
+: <a class="el" href="pseudo__inverse_8h.html#aeead1612e2f846fe32e4c50e1ab3d7c3a9db08339065f28367b9ae058d1127a04">pseudo_inverse.h</a>
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+, <a class="el" href="householder__test_8c.html#aacc09bb5d8990f8f6f3bc872b9a8d9a0">householder_test.c</a>
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+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
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+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
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+
+<h3><a id="index_i"></a>- i -</h3><ul>
+<li>I0
+: <a class="el" href="magnetic__based__position_8h.html#a73d113d91ab7ec355ca707cc930eb718">magnetic_based_position.h</a>
+</li>
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+: <a class="el" href="shell__sort_8h.html#a92bc0e3a993e78dfab795f5ccc3e227e">shell_sort.h</a>
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+, <a class="el" href="matrix__test_8c.html#a5713bd664a96ccd028896420050f22df">matrix_test.c</a>
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+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
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+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
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+<h3><a id="index_k"></a>- k -</h3><ul>
+<li>K
+: <a class="el" href="magnetic__based__position_8h.html#a97d832ae23af4f215e801e37e4f94254">magnetic_based_position.h</a>
+</li>
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+<link href="search/search.css" rel="stylesheet" type="text/css"/>
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+<link href="doxygen.css" rel="stylesheet" type="text/css" />
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+<div class="contents">
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+
+<h3><a id="index_l"></a>- l -</h3><ul>
+<li>loc_gauss_newton()
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+, <a class="el" href="loc__levenberg__marquardt_8h.html#a09fdd720ff5c5658e160657153ee615f">loc_levenberg_marquardt.h</a>
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+, <a class="el" href="loc__levenberg__marquardt_8h.html#a4bad4d347859b95ac176779b34f26f8e">loc_levenberg_marquardt.h</a>
+</li>
+<li>loc_levenberg_marquardt_get_mu0()
+: <a class="el" href="loc__levenberg__marquardt_8h.html#a34f52d51278453ca0fc0818a1f73a357">loc_levenberg_marquardt.h</a>
+, <a class="el" href="loc__levenberg__marquardt_8c.html#a34f52d51278453ca0fc0818a1f73a357">loc_levenberg_marquardt.c</a>
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+<li>lu_decomp()
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+, <a class="el" href="lu__decomp_8c.html#a8649e9f4b85f17bf35a22b18e7f239d7">lu_decomp.c</a>
+</li>
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+: <a class="el" href="lu__decomp__test_8c.html#a5798fee8a59a44f3a6a712ffd700dfd1">lu_decomp_test.c</a>
+, <a class="el" href="lu__decomp__test_8h.html#a5798fee8a59a44f3a6a712ffd700dfd1">lu_decomp_test.h</a>
+</li>
+</ul>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
+ </ul>
+</div>
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+<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">RcdMathLib_doc
+ </div>
+ <div id="projectbrief">Open Source Library for Linear and Non-linear Algebra</div>
+ </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.16 -->
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+/* @license-end */
+</script>
+<div id="doc-content">
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+ onmouseover="return searchBox.OnSearchSelectShow()"
+ onmouseout="return searchBox.OnSearchSelectHide()"
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+<iframe src="javascript:void(0)" frameborder="0"
+ name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="contents">
+<div class="textblock">Here is a list of all documented functions, variables, defines, enums, and typedefs with links to the documentation:</div>
+
+<h3><a id="index_m"></a>- m -</h3><ul>
+<li>M_PI
+: <a class="el" href="matrix_8h.html#ae71449b1cc6e6250b91f539153a7a0d3">matrix.h</a>
+, <a class="el" href="utils_8h.html#ae71449b1cc6e6250b91f539153a7a0d3">utils.h</a>
+</li>
+<li>MACHEPS
+: <a class="el" href="matrix_8h.html#af57ae8796956bfd0ee173b9040ba5192">matrix.h</a>
+</li>
+<li>magnetic_based_f_i()
+: <a class="el" href="magnetic__based__fi_8h.html#a897f5c675ad714feb9f2ae7571de620a">magnetic_based_fi.h</a>
+, <a class="el" href="magnetic__based__fi_8c.html#a897f5c675ad714feb9f2ae7571de620a">magnetic_based_fi.c</a>
+</li>
+<li>magnetic_based_get_absolute_error()
+: <a class="el" href="magnetic__based__position_8h.html#ad5a7513337486e277ea028480403569d">magnetic_based_position.h</a>
+, <a class="el" href="magnetic__based__position_8c.html#ad5a7513337486e277ea028480403569d">magnetic_based_position.c</a>
+</li>
+<li>magnetic_based_get_distances()
+: <a class="el" href="magnetic__based__position_8h.html#ae584dff239a0111c47b7c5d1e197af59">magnetic_based_position.h</a>
+, <a class="el" href="magnetic__based__position_8c.html#ae584dff239a0111c47b7c5d1e197af59">magnetic_based_position.c</a>
+</li>
+<li>magnetic_based_get_distances_to_anchors()
+: <a class="el" href="magnetic__based__position_8h.html#ac852e4c0dcb8e9901aa3fab5efd91599">magnetic_based_position.h</a>
+, <a class="el" href="magnetic__based__position_8c.html#ac852e4c0dcb8e9901aa3fab5efd91599">magnetic_based_position.c</a>
+</li>
+<li>magnetic_based_get_magnetic_field()
+: <a class="el" href="magnetic__based__position_8h.html#a361f3f3c4f9516a1aa6107367ebfda8d">magnetic_based_position.h</a>
+, <a class="el" href="magnetic__based__position_8c.html#a361f3f3c4f9516a1aa6107367ebfda8d">magnetic_based_position.c</a>
+</li>
+<li>magnetic_based_get_magnetic_field_vec()
+: <a class="el" href="magnetic__based__position_8h.html#aac026f28838a5b30c8f6f189e3ab354c">magnetic_based_position.h</a>
+, <a class="el" href="magnetic__based__position_8c.html#aac026f28838a5b30c8f6f189e3ab354c">magnetic_based_position.c</a>
+</li>
+<li>magnetic_based_get_r()
+: <a class="el" href="magnetic__based__position_8h.html#a01bb024303e8eb202a19dbd70b291c06">magnetic_based_position.h</a>
+, <a class="el" href="magnetic__based__position_8c.html#a01bb024303e8eb202a19dbd70b291c06">magnetic_based_position.c</a>
+</li>
+<li>magnetic_based_jacobian_get_J()
+: <a class="el" href="magnetic__based__jacobian_8h.html#ac3aca0a9af6ad84f6c010a215239f224">magnetic_based_jacobian.h</a>
+, <a class="el" href="magnetic__based__jacobian_8c.html#ac3aca0a9af6ad84f6c010a215239f224">magnetic_based_jacobian.c</a>
+</li>
+<li>magnetic_based_jacobian_get_J_mul_s()
+: <a class="el" href="magnetic__based__jacobian_8h.html#ae1e7849d86970a33ef5b784705ebc2fc">magnetic_based_jacobian.h</a>
+, <a class="el" href="magnetic__based__jacobian_8c.html#ae1e7849d86970a33ef5b784705ebc2fc">magnetic_based_jacobian.c</a>
+</li>
+<li>magnetic_based_jacobian_get_JTf()
+: <a class="el" href="magnetic__based__jacobian_8h.html#a87f1c7a7d6b151883c2308de275269b8">magnetic_based_jacobian.h</a>
+, <a class="el" href="magnetic__based__jacobian_8c.html#a87f1c7a7d6b151883c2308de275269b8">magnetic_based_jacobian.c</a>
+</li>
+<li>magnetic_based_jacobian_get_JTJ()
+: <a class="el" href="magnetic__based__jacobian_8h.html#aa66e6f52fd806c36f4b735b7c4c3307e">magnetic_based_jacobian.h</a>
+, <a class="el" href="magnetic__based__jacobian_8c.html#aa66e6f52fd806c36f4b735b7c4c3307e">magnetic_based_jacobian.c</a>
+</li>
+<li>magnetic_based_preprocessing_get_position()
+: <a class="el" href="magnetic__based__position_8h.html#af316f67cb87759b57bc815326b8d1cef">magnetic_based_position.h</a>
+, <a class="el" href="magnetic__based__position_8c.html#af316f67cb87759b57bc815326b8d1cef">magnetic_based_position.c</a>
+</li>
+<li>magnetic_based_test()
+: <a class="el" href="magnetic__based__test_8h.html#a94f4b9ae7750825fc3d332e8f1903f75">magnetic_based_test.h</a>
+, <a class="el" href="magnetic__based__test_8c.html#a94f4b9ae7750825fc3d332e8f1903f75">magnetic_based_test.c</a>
+</li>
+<li>matrix_add()
+: <a class="el" href="matrix_8h.html#ac7101bbaa3a2698658276a7e21501093">matrix.h</a>
+, <a class="el" href="matrix_8c.html#ac7101bbaa3a2698658276a7e21501093">matrix.c</a>
+</li>
+<li>matrix_add_to_diag()
+: <a class="el" href="matrix_8h.html#aa8acafd4181978f536976f8151e51516">matrix.h</a>
+, <a class="el" href="matrix_8c.html#aa8acafd4181978f536976f8151e51516">matrix.c</a>
+</li>
+<li>matrix_clear()
+: <a class="el" href="matrix_8h.html#a0e06b2cfb86340e88be7b1219bef0ce3">matrix.h</a>
+, <a class="el" href="matrix_8c.html#a0e06b2cfb86340e88be7b1219bef0ce3">matrix.c</a>
+</li>
+<li>matrix_copy()
+: <a class="el" href="matrix_8h.html#ae8d8daa117e9f96a5e29fe6c76c4998c">matrix.h</a>
+, <a class="el" href="matrix_8c.html#ae8d8daa117e9f96a5e29fe6c76c4998c">matrix.c</a>
+</li>
+<li>matrix_flex_part_print()
+: <a class="el" href="matrix_8h.html#a72297a60e572f85929989e813388a9c5">matrix.h</a>
+, <a class="el" href="matrix_8c.html#a72297a60e572f85929989e813388a9c5">matrix.c</a>
+</li>
+<li>matrix_flex_print()
+: <a class="el" href="matrix_8h.html#a82f374a9b8b215f0ef53d35401eae524">matrix.h</a>
+, <a class="el" href="matrix_8c.html#ad386233d68c73656a03641ddf3ecaaf2">matrix.c</a>
+</li>
+<li>matrix_get_abs_max_elem_and_index_in_part_column()
+: <a class="el" href="matrix_8h.html#a5f6a1948ec005cff4985559821c4943f">matrix.h</a>
+, <a class="el" href="matrix_8c.html#a5f6a1948ec005cff4985559821c4943f">matrix.c</a>
+</li>
+<li>matrix_get_abs_max_elem_in_column()
+: <a class="el" href="matrix_8h.html#a0a3d3cfa20ad3e75ad783af457343672">matrix.h</a>
+, <a class="el" href="matrix_8c.html#a0a3d3cfa20ad3e75ad783af457343672">matrix.c</a>
+</li>
+<li>matrix_get_abs_max_elem_in_part_column()
+: <a class="el" href="matrix_8h.html#a8d77cfae4f1da83acac929c1ce13d252">matrix.h</a>
+, <a class="el" href="matrix_8c.html#a8d77cfae4f1da83acac929c1ce13d252">matrix.c</a>
+</li>
+<li>matrix_get_column_vec()
+: <a class="el" href="matrix_8h.html#a3ae0b9f73f82716f3427a523a3412864">matrix.h</a>
+, <a class="el" href="matrix_8c.html#a3ae0b9f73f82716f3427a523a3412864">matrix.c</a>
+</li>
+<li>matrix_get_diag_mat()
+: <a class="el" href="matrix_8h.html#a18e47742f1653dcc4491badfe2537a0a">matrix.h</a>
+, <a class="el" href="matrix_8c.html#a18e47742f1653dcc4491badfe2537a0a">matrix.c</a>
+</li>
+<li>matrix_get_diag_mat_new()
+: <a class="el" href="matrix_8h.html#ae808f007791f060590d39c7668501988">matrix.h</a>
+, <a class="el" href="matrix_8c.html#ae808f007791f060590d39c7668501988">matrix.c</a>
+</li>
+<li>matrix_get_frob_norm()
+: <a class="el" href="matrix_8h.html#aaf85a32b8562c91d2d1889819580375e">matrix.h</a>
+, <a class="el" href="matrix_8c.html#aaf85a32b8562c91d2d1889819580375e">matrix.c</a>
+</li>
+<li>matrix_get_inv_low_triang()
+: <a class="el" href="matrix_8h.html#ae8e87640fa1a2d259ee4dc98c955cb48">matrix.h</a>
+, <a class="el" href="matrix_8c.html#ae8e87640fa1a2d259ee4dc98c955cb48">matrix.c</a>
+</li>
+<li>matrix_get_inv_upp_triang()
+: <a class="el" href="matrix_8h.html#ab166871472924745f70e2bb6e17498c8">matrix.h</a>
+, <a class="el" href="matrix_8c.html#ab166871472924745f70e2bb6e17498c8">matrix.c</a>
+</li>
+<li>matrix_get_low_triang()
+: <a class="el" href="matrix_8h.html#adfd93dda9be9b2e8df5805af7fee7845">matrix.h</a>
+, <a class="el" href="matrix_8c.html#adfd93dda9be9b2e8df5805af7fee7845">matrix.c</a>
+</li>
+<li>matrix_get_max_elem_in_column()
+: <a class="el" href="matrix_8h.html#aef8d1508ad101227ab255a714ab22b94">matrix.h</a>
+, <a class="el" href="matrix_8c.html#aef8d1508ad101227ab255a714ab22b94">matrix.c</a>
+</li>
+<li>matrix_get_max_elem_in_part_column()
+: <a class="el" href="matrix_8h.html#ad2cecc467ac6480ef0f3423f962b39bc">matrix.h</a>
+, <a class="el" href="matrix_8c.html#ad2cecc467ac6480ef0f3423f962b39bc">matrix.c</a>
+</li>
+<li>matrix_get_part_column_vec()
+: <a class="el" href="matrix_8h.html#ac20399f6a8de13b1f392a1e3f7c0fbf4">matrix.h</a>
+, <a class="el" href="matrix_8c.html#ac20399f6a8de13b1f392a1e3f7c0fbf4">matrix.c</a>
+</li>
+<li>matrix_get_rank()
+: <a class="el" href="matrix_8h.html#a53879e7c4cfbc96725aef9f8234be7dd">matrix.h</a>
+, <a class="el" href="matrix_8c.html#a53879e7c4cfbc96725aef9f8234be7dd">matrix.c</a>
+</li>
+<li>matrix_get_two_norm()
+: <a class="el" href="matrix_8h.html#aec03481d950677386122e3c8ba6a5cd0">matrix.h</a>
+, <a class="el" href="matrix_8c.html#aec03481d950677386122e3c8ba6a5cd0">matrix.c</a>
+</li>
+<li>matrix_get_upp_triang()
+: <a class="el" href="matrix_8h.html#abbaf8f39b2b7bb4bd2987f99674c1213">matrix.h</a>
+, <a class="el" href="matrix_8c.html#abbaf8f39b2b7bb4bd2987f99674c1213">matrix.c</a>
+</li>
+<li>matrix_in_place_transpose()
+: <a class="el" href="matrix_8c.html#a48b36217faeda15438f4e07c54d0ef9e">matrix.c</a>
+, <a class="el" href="matrix_8h.html#a48b36217faeda15438f4e07c54d0ef9e">matrix.h</a>
+</li>
+<li>matrix_init()
+: <a class="el" href="matrix_8h.html#acfd2bbc4a90915e57a4555694e842312">matrix.h</a>
+, <a class="el" href="matrix_8c.html#acfd2bbc4a90915e57a4555694e842312">matrix.c</a>
+</li>
+<li>matrix_mul()
+: <a class="el" href="matrix_8h.html#a550aa0d5a3212e35ad0af134895fd20a">matrix.h</a>
+, <a class="el" href="matrix_8c.html#a550aa0d5a3212e35ad0af134895fd20a">matrix.c</a>
+</li>
+<li>matrix_mul_col_vec_row_vec()
+: <a class="el" href="matrix_8h.html#acfd7c6f021f4fbcd393fe849c82f34de">matrix.h</a>
+, <a class="el" href="matrix_8c.html#acfd7c6f021f4fbcd393fe849c82f34de">matrix.c</a>
+</li>
+<li>matrix_mul_scalar()
+: <a class="el" href="matrix_8h.html#a51139e6c87b602e5e0ebfbc406fda35d">matrix.h</a>
+, <a class="el" href="matrix_8c.html#a51139e6c87b602e5e0ebfbc406fda35d">matrix.c</a>
+</li>
+<li>matrix_mul_scalar_vec_matr()
+: <a class="el" href="matrix_8h.html#ac735d13efe5b76ecf60ac13ec79da8e3">matrix.h</a>
+, <a class="el" href="matrix_8c.html#ac735d13efe5b76ecf60ac13ec79da8e3">matrix.c</a>
+</li>
+<li>matrix_mul_vec()
+: <a class="el" href="matrix_8h.html#ad610bcce232c69ca302550f57b1ad9fb">matrix.h</a>
+, <a class="el" href="matrix_8c.html#ad610bcce232c69ca302550f57b1ad9fb">matrix.c</a>
+</li>
+<li>matrix_part_copy()
+: <a class="el" href="matrix_8h.html#a56513a88eff05b0683320c532fadf945">matrix.h</a>
+, <a class="el" href="matrix_8c.html#a56513a88eff05b0683320c532fadf945">matrix.c</a>
+</li>
+<li>matrix_part_mul()
+: <a class="el" href="matrix_8h.html#a3763252ca00e4c8522ae1bfd5ef40f0a">matrix.h</a>
+, <a class="el" href="matrix_8c.html#a3763252ca00e4c8522ae1bfd5ef40f0a">matrix.c</a>
+</li>
+<li>matrix_part_mul_scalar_vec_matr()
+: <a class="el" href="matrix_8h.html#a06f75ae4924e3f0dfd0b6a25313dc731">matrix.h</a>
+, <a class="el" href="matrix_8c.html#a06f75ae4924e3f0dfd0b6a25313dc731">matrix.c</a>
+</li>
+<li>matrix_part_print()
+: <a class="el" href="matrix_8c.html#a72073ccd483f9cc438425d3d8ffd3029">matrix.c</a>
+, <a class="el" href="matrix_8h.html#a72073ccd483f9cc438425d3d8ffd3029">matrix.h</a>
+</li>
+<li>matrix_part_swap_rows()
+: <a class="el" href="matrix_8h.html#a3570c016691507c003dd7a54cb37e7e2">matrix.h</a>
+, <a class="el" href="matrix_8c.html#a3570c016691507c003dd7a54cb37e7e2">matrix.c</a>
+</li>
+<li>matrix_print()
+: <a class="el" href="matrix_8h.html#a32ab12965ec43c2acf65cf9dd510353a">matrix.h</a>
+, <a class="el" href="matrix_8c.html#a32ab12965ec43c2acf65cf9dd510353a">matrix.c</a>
+</li>
+<li>matrix_read()
+: <a class="el" href="matrix_8c.html#a722a0230185fd66f0cecbeae7d50ce1a">matrix.c</a>
+, <a class="el" href="matrix_8h.html#a722a0230185fd66f0cecbeae7d50ce1a">matrix.h</a>
+</li>
+<li>matrix_set_diag_elements()
+: <a class="el" href="matrix_8h.html#a49aa70a7d6ad76388ea08acfe43b7374">matrix.h</a>
+, <a class="el" href="matrix_8c.html#a49aa70a7d6ad76388ea08acfe43b7374">matrix.c</a>
+</li>
+<li>matrix_sub()
+: <a class="el" href="matrix_8c.html#aed6fab1ffa40243eeb08117215082be3">matrix.c</a>
+, <a class="el" href="matrix_8h.html#aed6fab1ffa40243eeb08117215082be3">matrix.h</a>
+</li>
+<li>matrix_swap_rows()
+: <a class="el" href="matrix_8c.html#a875d6c55a16ee9f8bf523b8c1c82bc6f">matrix.c</a>
+, <a class="el" href="matrix_8h.html#a875d6c55a16ee9f8bf523b8c1c82bc6f">matrix.h</a>
+</li>
+<li>matrix_t
+: <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix.h</a>
+</li>
+<li>matrix_test()
+: <a class="el" href="matrix__test_8h.html#aad3d0f4acb79e8a9b61eda59dc3a12b2">matrix_test.h</a>
+, <a class="el" href="matrix__test_8c.html#aad3d0f4acb79e8a9b61eda59dc3a12b2">matrix_test.c</a>
+</li>
+<li>matrix_trans_mul_itself()
+: <a class="el" href="matrix_8c.html#a0107887a6c40980fa639750be8262f01">matrix.c</a>
+, <a class="el" href="matrix_8h.html#a0107887a6c40980fa639750be8262f01">matrix.h</a>
+</li>
+<li>matrix_trans_mul_vec()
+: <a class="el" href="matrix_8c.html#a53b0a1829b2085414fb66a9e9bd6c7b7">matrix.c</a>
+, <a class="el" href="matrix_8h.html#a53b0a1829b2085414fb66a9e9bd6c7b7">matrix.h</a>
+</li>
+<li>matrix_transpose()
+: <a class="el" href="matrix_8c.html#ad7c9a682a3cc4ca33c030afa8798241a">matrix.c</a>
+, <a class="el" href="matrix_8h.html#ad7c9a682a3cc4ca33c030afa8798241a">matrix.h</a>
+</li>
+<li>matrix_vec_mul_matr()
+: <a class="el" href="matrix_8c.html#a3cf18a2c5c6ad62a4e0a0c00d27e2887">matrix.c</a>
+, <a class="el" href="matrix_8h.html#a3cf18a2c5c6ad62a4e0a0c00d27e2887">matrix.h</a>
+</li>
+<li>matrix_write()
+: <a class="el" href="matrix_8h.html#a90b6eafa665d34d7330581c32564d632">matrix.h</a>
+, <a class="el" href="matrix_8c.html#a90b6eafa665d34d7330581c32564d632">matrix.c</a>
+</li>
+<li>MAX_COL_NUM
+: <a class="el" href="moore__penrose__pseudo__inverse_8h.html#ad174a66874978917203ae18e88d263af">moore_penrose_pseudo_inverse.h</a>
+</li>
+<li>MAX_ROW_NUM
+: <a class="el" href="moore__penrose__pseudo__inverse_8h.html#a08c63915b31bfeb8d6256981f71b3746">moore_penrose_pseudo_inverse.h</a>
+</li>
+<li>MG_TO_T
+: <a class="el" href="magnetic__based__position_8h.html#a544d6868e9b6cf4f9b9db9e1ad413691">magnetic_based_position.h</a>
+</li>
+<li>MILPS_MAX_DIST
+: <a class="el" href="magnetic__based__position_8h.html#a2ab193fcd7e0bc8f46ce92c3299b99bc">magnetic_based_position.h</a>
+</li>
+<li>modified_gauss_newton()
+: <a class="el" href="modified__gauss__newton_8h.html#a7376799043ad2c27fac02371624051bc">modified_gauss_newton.h</a>
+, <a class="el" href="modified__gauss__newton_8c.html#a7376799043ad2c27fac02371624051bc">modified_gauss_newton.c</a>
+</li>
+<li>Moore_Penrose
+: <a class="el" href="pseudo__inverse_8h.html#aeead1612e2f846fe32e4c50e1ab3d7c3ae835310f82eb01d07137e72133cd5b06">pseudo_inverse.h</a>
+</li>
+<li>moore_penrose_get_pinv()
+: <a class="el" href="moore__penrose__pseudo__inverse_8c.html#a0ddd46446f074a0d38c04157686f5fce">moore_penrose_pseudo_inverse.c</a>
+, <a class="el" href="moore__penrose__pseudo__inverse_8h.html#a0ddd46446f074a0d38c04157686f5fce">moore_penrose_pseudo_inverse.h</a>
+</li>
+<li>MOORE_PENROSE_INVALID_RANK_VALUE
+: <a class="el" href="moore__penrose__pseudo__inverse_8h.html#a068a278115f777cb1b92107e5c88c68e">moore_penrose_pseudo_inverse.h</a>
+</li>
+<li>moore_penrose_pinv_compute_print()
+: <a class="el" href="moore__penrose__pseudo__inverse_8h.html#ada5b18da23c06c1a6f2449bbfe97a7c9">moore_penrose_pseudo_inverse.h</a>
+, <a class="el" href="moore__penrose__pseudo__inverse_8c.html#ada5b18da23c06c1a6f2449bbfe97a7c9">moore_penrose_pseudo_inverse.c</a>
+</li>
+<li>moore_penrose_pinv_test()
+: <a class="el" href="moore__penrose__pinv__test_8c.html#a71ea6881aeb228d371528527d1974014">moore_penrose_pinv_test.c</a>
+, <a class="el" href="moore__penrose__pinv__test_8h.html#a71ea6881aeb228d371528527d1974014">moore_penrose_pinv_test.h</a>
+</li>
+<li>MOORE_PENROSE_PSEUDO_COMP_SUCCESS
+: <a class="el" href="moore__penrose__pseudo__inverse_8h.html#ae65d746cc90c1447fe1651614fde76eb">moore_penrose_pseudo_inverse.h</a>
+</li>
+<li>MOORE_PENROSE_PSEUDO_GIVE_MATRIX_TRANSPOSE
+: <a class="el" href="moore__penrose__pseudo__inverse_8h.html#aa41b1dd19931edcc50247511f12859e4">moore_penrose_pseudo_inverse.h</a>
+</li>
+<li>MOORE_PENROSE_PSEUDO_MAX_ALLOW_ROW_COL_EXCEEED
+: <a class="el" href="moore__penrose__pseudo__inverse_8h.html#a4b5bc244bcae0f030336269904158df1">moore_penrose_pseudo_inverse.h</a>
+</li>
+<li>MU0
+: <a class="el" href="magnetic__based__position_8h.html#a0fa11f33bdb89b468b60f19395381cc4">magnetic_based_position.h</a>
+</li>
+<li>multipath_algo_own_norm_distr_test()
+: <a class="el" href="multipath__algo__own__norm__distr__test_8c.html#a557f81ea2791d07f6341dc44b0f169dd">multipath_algo_own_norm_distr_test.c</a>
+, <a class="el" href="multipath__algo__own__norm__distr__test_8h.html#a557f81ea2791d07f6341dc44b0f169dd">multipath_algo_own_norm_distr_test.h</a>
+</li>
+</ul>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
+ </ul>
+</div>
+</body>
+</html>
diff --git a/doc/doxygen/html/globals_n.html b/doc/doxygen/html/globals_n.html
new file mode 100644
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+++ b/doc/doxygen/html/globals_n.html
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+<!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 1.8.16"/>
+<meta name="viewport" content="width=device-width, initial-scale=1"/>
+<title>RcdMathLib_doc: Globals</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>
+<script type="text/javascript">
+/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&dn=gpl-2.0.txt GPL-v2 */
+ $(document).ready(initResizable);
+/* @license-end */</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>
+<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">RcdMathLib_doc
+ </div>
+ <div id="projectbrief">Open Source Library for Linear and Non-linear Algebra</div>
+ </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.16 -->
+<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 */
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+ 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('globals_n.html','');});
+/* @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="contents">
+<div class="textblock">Here is a list of all documented functions, variables, defines, enums, and typedefs with links to the documentation:</div>
+
+<h3><a id="index_n"></a>- n -</h3><ul>
+<li>Newton_Raphson
+: <a class="el" href="fsolve_8h.html#a806eab83c4b4a937b86ebcfd984f9206a44c226e2406536a0eba3ee940a4a7117">fsolve.h</a>
+</li>
+<li>newton_raphson()
+: <a class="el" href="newton__raphson_8h.html#ac6837f695990867bd72cf23ee93961cc">newton_raphson.h</a>
+, <a class="el" href="newton__raphson_8c.html#ac6837f695990867bd72cf23ee93961cc">newton_raphson.c</a>
+</li>
+<li>NON_LIN_ALGORITHM
+: <a class="el" href="fsolve_8h.html#a806eab83c4b4a937b86ebcfd984f9206">fsolve.h</a>
+</li>
+<li>NW
+: <a class="el" href="magnetic__based__position_8h.html#af9cccf331f045b89a9f12366df5f7687">magnetic_based_position.h</a>
+</li>
+</ul>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
+ </ul>
+</div>
+</body>
+</html>
diff --git a/doc/doxygen/html/globals_o.html b/doc/doxygen/html/globals_o.html
new file mode 100644
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--- /dev/null
+++ b/doc/doxygen/html/globals_o.html
@@ -0,0 +1,145 @@
+<!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 1.8.16"/>
+<meta name="viewport" content="width=device-width, initial-scale=1"/>
+<title>RcdMathLib_doc: Globals</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>
+<script type="text/javascript">
+/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&dn=gpl-2.0.txt GPL-v2 */
+ $(document).ready(initResizable);
+/* @license-end */</script>
+<link href="search/search.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="search/searchdata.js"></script>
+<script type="text/javascript" src="search/search.js"></script>
+<link href="doxygen.css" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+ <td id="projectalign" style="padding-left: 0.5em;">
+ <div id="projectname">RcdMathLib_doc
+ </div>
+ <div id="projectbrief">Open Source Library for Linear and Non-linear Algebra</div>
+ </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.16 -->
+<script type="text/javascript">
+/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&dn=gpl-2.0.txt GPL-v2 */
+var searchBox = new SearchBox("searchBox", "search",false,'Search');
+/* @license-end */
+</script>
+<script type="text/javascript" src="menudata.js"></script>
+<script type="text/javascript" src="menu.js"></script>
+<script type="text/javascript">
+/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&dn=gpl-2.0.txt GPL-v2 */
+$(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('globals_o.html','');});
+/* @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="contents">
+<div class="textblock">Here is a list of all documented functions, variables, defines, enums, and typedefs with links to the documentation:</div>
+
+<h3><a id="index_o"></a>- o -</h3><ul>
+<li>opt_levenberg_marquardt()
+: <a class="el" href="levenberg__marquardt_8h.html#a2a72b2b6be15a9998b61a9c0097e3d5f">levenberg_marquardt.h</a>
+, <a class="el" href="levenberg__marquardt_8c.html#a2a72b2b6be15a9998b61a9c0097e3d5f">levenberg_marquardt.c</a>
+</li>
+<li>opt_levenberg_marquardt_correction()
+: <a class="el" href="levenberg__marquardt_8c.html#a741182c4bc201af44ac010bc4474b826">levenberg_marquardt.c</a>
+</li>
+<li>opt_levenberg_marquardt_get_mu0()
+: <a class="el" href="levenberg__marquardt_8h.html#a46fb5a9d6d185ff7f98c9cf34b56e34f">levenberg_marquardt.h</a>
+, <a class="el" href="levenberg__marquardt_8c.html#a46fb5a9d6d185ff7f98c9cf34b56e34f">levenberg_marquardt.c</a>
+</li>
+<li>optimization_exponential_data_test()
+: <a class="el" href="optimization__test_8h.html#a5f1f1ed377535a6d4c5758c38174fcb9">optimization_test.h</a>
+, <a class="el" href="optimization__test_8c.html#a5f1f1ed377535a6d4c5758c38174fcb9">optimization_test.c</a>
+</li>
+<li>optimization_get_exp_f()
+: <a class="el" href="optimization__test_8c.html#ac11e842f01767e97924c100df684476d">optimization_test.c</a>
+</li>
+<li>optimization_get_exp_Jacobian()
+: <a class="el" href="optimization__test_8c.html#a98fdeac6ec9a38cb63f48e7c0f0085f0">optimization_test.c</a>
+</li>
+<li>optimization_get_f_error()
+: <a class="el" href="optimization__test_8c.html#a610651298b8018db96cf21ee31740d3b">optimization_test.c</a>
+</li>
+<li>optimization_get_J()
+: <a class="el" href="optimization__test_8c.html#ac7361316d224b72baa4a681297d9f51c">optimization_test.c</a>
+</li>
+<li>optimization_get_sin_f()
+: <a class="el" href="optimization__test_8c.html#a1daefb42bf903899e7e1d5237ba62c0b">optimization_test.c</a>
+</li>
+<li>optimization_get_sin_Jacobian()
+: <a class="el" href="optimization__test_8c.html#acb161b62c37921a9edd0cb7aeb76342a">optimization_test.c</a>
+</li>
+<li>optimization_sinusoidal_data_test()
+: <a class="el" href="optimization__test_8c.html#a5f89a9747d6a7bec1ad0a80ba31647b9">optimization_test.c</a>
+, <a class="el" href="optimization__test_8h.html#a5f89a9747d6a7bec1ad0a80ba31647b9">optimization_test.h</a>
+</li>
+<li>optimization_test()
+: <a class="el" href="optimization__test_8h.html#a1062ae4598fabcf957ec0b855737db20">optimization_test.h</a>
+, <a class="el" href="optimization__test_8c.html#a1062ae4598fabcf957ec0b855737db20">optimization_test.c</a>
+</li>
+</ul>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
+ </ul>
+</div>
+</body>
+</html>
diff --git a/doc/doxygen/html/globals_p.html b/doc/doxygen/html/globals_p.html
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+<!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 1.8.16"/>
+<meta name="viewport" content="width=device-width, initial-scale=1"/>
+<title>RcdMathLib_doc: Globals</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>
+<script type="text/javascript">
+/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&dn=gpl-2.0.txt GPL-v2 */
+ $(document).ready(initResizable);
+/* @license-end */</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>
+<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">RcdMathLib_doc
+ </div>
+ <div id="projectbrief">Open Source Library for Linear and Non-linear Algebra</div>
+ </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.16 -->
+<script type="text/javascript">
+/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&dn=gpl-2.0.txt GPL-v2 */
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+<script type="text/javascript">
+/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&dn=gpl-2.0.txt GPL-v2 */
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+ $(document).ready(function() { init_search(); });
+});
+/* @license-end */</script>
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+<div id="side-nav" class="ui-resizable side-nav-resizable">
+ <div id="nav-tree">
+ <div id="nav-tree-contents">
+ <div id="nav-sync" class="sync"></div>
+ </div>
+ </div>
+ <div id="splitbar" style="-moz-user-select:none;"
+ class="ui-resizable-handle">
+ </div>
+</div>
+<script type="text/javascript">
+/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&dn=gpl-2.0.txt GPL-v2 */
+$(document).ready(function(){initNavTree('globals_p.html','');});
+/* @license-end */
+</script>
+<div id="doc-content">
+<!-- window showing the filter options -->
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+ onmouseover="return searchBox.OnSearchSelectShow()"
+ onmouseout="return searchBox.OnSearchSelectHide()"
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+<div id="MSearchResultsWindow">
+<iframe src="javascript:void(0)" frameborder="0"
+ name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="contents">
+<div class="textblock">Here is a list of all documented functions, variables, defines, enums, and typedefs with links to the documentation:</div>
+
+<h3><a id="index_p"></a>- p -</h3><ul>
+<li>PI
+: <a class="el" href="norm__dist__rnd__generator_8h.html#a598a3330b3c21701223ee0ca14316eca">norm_dist_rnd_generator.h</a>
+, <a class="el" href="magnetic__based__position_8h.html#a598a3330b3c21701223ee0ca14316eca">magnetic_based_position.h</a>
+</li>
+<li>pos_algos_common_test()
+: <a class="el" href="pos__algos__common__test_8c.html#ad7c3809ba4d66f929854a4127784be8c">pos_algos_common_test.c</a>
+, <a class="el" href="pos__algos__common__test_8h.html#ad7c3809ba4d66f929854a4127784be8c">pos_algos_common_test.h</a>
+</li>
+<li>position_optimization_test()
+: <a class="el" href="position__optimization__test_8c.html#adf2ebfc668717eeac312234ac2b24166">position_optimization_test.c</a>
+, <a class="el" href="position__optimization__test_8h.html#adf2ebfc668717eeac312234ac2b24166">position_optimization_test.h</a>
+</li>
+</ul>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
+ </ul>
+</div>
+</body>
+</html>
diff --git a/doc/doxygen/html/globals_q.html b/doc/doxygen/html/globals_q.html
new file mode 100644
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--- /dev/null
+++ b/doc/doxygen/html/globals_q.html
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+<!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 1.8.16"/>
+<meta name="viewport" content="width=device-width, initial-scale=1"/>
+<title>RcdMathLib_doc: Globals</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>
+<script type="text/javascript">
+/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&dn=gpl-2.0.txt GPL-v2 */
+ $(document).ready(initResizable);
+/* @license-end */</script>
+<link href="search/search.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="search/searchdata.js"></script>
+<script type="text/javascript" src="search/search.js"></script>
+<link href="doxygen.css" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+ <td id="projectalign" style="padding-left: 0.5em;">
+ <div id="projectname">RcdMathLib_doc
+ </div>
+ <div id="projectbrief">Open Source Library for Linear and Non-linear Algebra</div>
+ </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.16 -->
+<script type="text/javascript">
+/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&dn=gpl-2.0.txt GPL-v2 */
+var searchBox = new SearchBox("searchBox", "search",false,'Search');
+/* @license-end */
+</script>
+<script type="text/javascript" src="menudata.js"></script>
+<script type="text/javascript" src="menu.js"></script>
+<script type="text/javascript">
+/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&dn=gpl-2.0.txt GPL-v2 */
+$(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('globals_q.html','');});
+/* @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="contents">
+<div class="textblock">Here is a list of all documented functions, variables, defines, enums, and typedefs with links to the documentation:</div>
+
+<h3><a id="index_q"></a>- q -</h3><ul>
+<li>QR_ALGORITHM
+: <a class="el" href="qr__common_8h.html#ac62c54358ecc0c35cdef1c3fb37cc73b">qr_common.h</a>
+</li>
+<li>qr_common_backward_subst()
+: <a class="el" href="qr__common_8h.html#adad26253c0e08a0d9fe2dfe0f6d64112">qr_common.h</a>
+, <a class="el" href="qr__common_8c.html#adad26253c0e08a0d9fe2dfe0f6d64112">qr_common.c</a>
+</li>
+<li>qr_common_get_reduced_QR()
+: <a class="el" href="qr__common_8h.html#a3144f99da14a69ec80bf9ded23714612">qr_common.h</a>
+, <a class="el" href="qr__common_8c.html#a47e88b1e236d3637717ea144811cdc1b">qr_common.c</a>
+</li>
+<li>qr_get_pinv()
+: <a class="el" href="qr__pseudo__inverse_8h.html#a9fb1ebdfe21c5a66cd322f00bf886d8d">qr_pseudo_inverse.h</a>
+, <a class="el" href="qr__pseudo__inverse_8c.html#a9fb1ebdfe21c5a66cd322f00bf886d8d">qr_pseudo_inverse.c</a>
+</li>
+<li>qr_givens_decomp()
+: <a class="el" href="qr__givens_8h.html#a07adca97c58afc057a5cff738f6473cc">qr_givens.h</a>
+, <a class="el" href="qr__givens_8c.html#a07adca97c58afc057a5cff738f6473cc">qr_givens.c</a>
+</li>
+<li>qr_givens_get_params()
+: <a class="el" href="qr__givens_8h.html#a53f748fbc6f8a129deb6a048d423d644">qr_givens.h</a>
+, <a class="el" href="qr__givens_8c.html#a53f748fbc6f8a129deb6a048d423d644">qr_givens.c</a>
+</li>
+<li>qr_householder_decomp()
+: <a class="el" href="qr__householder_8c.html#a926e8bce91b658f64837d5c93b0bc74f">qr_householder.c</a>
+, <a class="el" href="qr__householder_8h.html#a926e8bce91b658f64837d5c93b0bc74f">qr_householder.h</a>
+</li>
+<li>qr_pinv_test()
+: <a class="el" href="qr__pinv__test_8h.html#a292d2351f35310e579dd0741ab4857db">qr_pinv_test.h</a>
+, <a class="el" href="qr__pinv__test_8c.html#a292d2351f35310e579dd0741ab4857db">qr_pinv_test.c</a>
+</li>
+</ul>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
+ </ul>
+</div>
+</body>
+</html>
diff --git a/doc/doxygen/html/globals_r.html b/doc/doxygen/html/globals_r.html
new file mode 100644
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+<!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 1.8.16"/>
+<meta name="viewport" content="width=device-width, initial-scale=1"/>
+<title>RcdMathLib_doc: Globals</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>
+<script type="text/javascript">
+/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&dn=gpl-2.0.txt GPL-v2 */
+ $(document).ready(initResizable);
+/* @license-end */</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>
+<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">RcdMathLib_doc
+ </div>
+ <div id="projectbrief">Open Source Library for Linear and Non-linear Algebra</div>
+ </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.16 -->
+<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">
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+ 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('globals_r.html','');});
+/* @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="contents">
+<div class="textblock">Here is a list of all documented functions, variables, defines, enums, and typedefs with links to the documentation:</div>
+
+<h3><a id="index_r"></a>- r -</h3><ul>
+<li>R0
+: <a class="el" href="magnetic__based__position_8h.html#a30ab9da60435727bc80839d416461b8f">magnetic_based_position.h</a>
+</li>
+<li>recog_mitigate_multipath()
+: <a class="el" href="multipath__dist__detection__mitigation_8c.html#a8cce1ff9263404ca1e58d67910f38d47">multipath_dist_detection_mitigation.c</a>
+, <a class="el" href="multipath__dist__detection__mitigation_8h.html#a2840a12d90b5b26b59d50f449f754fbd">multipath_dist_detection_mitigation.h</a>
+</li>
+</ul>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
+ </ul>
+</div>
+</body>
+</html>
diff --git a/doc/doxygen/html/globals_s.html b/doc/doxygen/html/globals_s.html
new file mode 100644
index 0000000000000000000000000000000000000000..491dade612cac5ac4efc31a1711ed34a555effca
--- /dev/null
+++ b/doc/doxygen/html/globals_s.html
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+<!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 1.8.16"/>
+<meta name="viewport" content="width=device-width, initial-scale=1"/>
+<title>RcdMathLib_doc: Globals</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>
+<script type="text/javascript">
+/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&dn=gpl-2.0.txt GPL-v2 */
+ $(document).ready(initResizable);
+/* @license-end */</script>
+<link href="search/search.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="search/searchdata.js"></script>
+<script type="text/javascript" src="search/search.js"></script>
+<link href="doxygen.css" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+ <td id="projectalign" style="padding-left: 0.5em;">
+ <div id="projectname">RcdMathLib_doc
+ </div>
+ <div id="projectbrief">Open Source Library for Linear and Non-linear Algebra</div>
+ </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.16 -->
+<script type="text/javascript">
+/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&dn=gpl-2.0.txt GPL-v2 */
+var searchBox = new SearchBox("searchBox", "search",false,'Search');
+/* @license-end */
+</script>
+<script type="text/javascript" src="menudata.js"></script>
+<script type="text/javascript" src="menu.js"></script>
+<script type="text/javascript">
+/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&dn=gpl-2.0.txt GPL-v2 */
+$(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('globals_s.html','');});
+/* @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="contents">
+<div class="textblock">Here is a list of all documented functions, variables, defines, enums, and typedefs with links to the documentation:</div>
+
+<h3><a id="index_s"></a>- s -</h3><ul>
+<li>shell_sort()
+: <a class="el" href="shell__sort_8h.html#a569649d96b2e8f453793ea166d3e96a6">shell_sort.h</a>
+, <a class="el" href="shell__sort_8c.html#a569649d96b2e8f453793ea166d3e96a6">shell_sort.c</a>
+</li>
+<li>sim_UWB_dist()
+: <a class="el" href="multipath__dist__detection__mitigation_8c.html#a2776d1c18727f8feb5f0a83a6963e957">multipath_dist_detection_mitigation.c</a>
+, <a class="el" href="multipath__dist__detection__mitigation_8h.html#a2776d1c18727f8feb5f0a83a6963e957">multipath_dist_detection_mitigation.h</a>
+</li>
+<li>solve()
+: <a class="el" href="solve_8h.html#a829e66492dc3073c0f7a190cda9b7db1">solve.h</a>
+, <a class="el" href="solve_8c.html#a829e66492dc3073c0f7a190cda9b7db1">solve.c</a>
+</li>
+<li>solve_big_matrix_test()
+: <a class="el" href="solve__test_8c.html#acb6c59801ca040ac66f436b8f332a371">solve_test.c</a>
+, <a class="el" href="solve__test_8h.html#acb6c59801ca040ac66f436b8f332a371">solve_test.h</a>
+</li>
+<li>solve_givens()
+: <a class="el" href="solve_8h.html#ac728f92ed0a0cba0e8776222acfe1d88">solve.h</a>
+, <a class="el" href="solve_8c.html#ac728f92ed0a0cba0e8776222acfe1d88">solve.c</a>
+</li>
+<li>solve_householder()
+: <a class="el" href="solve_8h.html#ab6336aff7fbff116a6118b39a0d1e2cd">solve.h</a>
+, <a class="el" href="solve_8c.html#ab6336aff7fbff116a6118b39a0d1e2cd">solve.c</a>
+</li>
+<li>solve_lu_decomp()
+: <a class="el" href="solve_8h.html#a96faf0d4f04f27a12e4ced0bffd0f634">solve.h</a>
+, <a class="el" href="solve_8c.html#a96faf0d4f04f27a12e4ced0bffd0f634">solve.c</a>
+</li>
+<li>solve_test()
+: <a class="el" href="solve__test_8c.html#a468b4492daa139d24a18624526001220">solve_test.c</a>
+, <a class="el" href="solve__test_8h.html#a468b4492daa139d24a18624526001220">solve_test.h</a>
+</li>
+<li>svd()
+: <a class="el" href="svd_8h.html#acdccfce5b7732e6334ca5a521c57e63e">svd.h</a>
+, <a class="el" href="svd_8c.html#acdccfce5b7732e6334ca5a521c57e63e">svd.c</a>
+</li>
+<li>SVD_COMPUTE_NEGLIGIBLE_VALUES
+: <a class="el" href="svd_8h.html#aa2f21266e1086a3971dfd02ee4b48ce5">svd.h</a>
+</li>
+<li>svd_compute_print_U_S_V_s()
+: <a class="el" href="svd_8h.html#a55b4a07eb7dbd09f7fa1d15debd44595">svd.h</a>
+, <a class="el" href="svd_8c.html#a55b4a07eb7dbd09f7fa1d15debd44595">svd.c</a>
+</li>
+<li>svd_get_reciproc_singular_values()
+: <a class="el" href="svd_8c.html#ae92d53fe415ccfd63a21bb36936294cb">svd.c</a>
+, <a class="el" href="svd_8h.html#ae92d53fe415ccfd63a21bb36936294cb">svd.h</a>
+</li>
+<li>svd_get_S_dim()
+: <a class="el" href="svd_8h.html#aeb7ac3eac076a0f52c729849599808a6">svd.h</a>
+, <a class="el" href="svd_8c.html#aeb7ac3eac076a0f52c729849599808a6">svd.c</a>
+</li>
+<li>svd_get_single_values_num()
+: <a class="el" href="svd_8c.html#a91b85e542b1fc44d3500ba52aecb8e0e">svd.c</a>
+, <a class="el" href="svd_8h.html#a91b85e542b1fc44d3500ba52aecb8e0e">svd.h</a>
+</li>
+<li>svd_get_U_dim()
+: <a class="el" href="svd_8c.html#a8194826f85cc3105c4d8d4f342ca8df8">svd.c</a>
+, <a class="el" href="svd_8h.html#a8194826f85cc3105c4d8d4f342ca8df8">svd.h</a>
+</li>
+<li>svd_get_V_dim()
+: <a class="el" href="svd_8h.html#aa65fbd187ce13d0da98cecb40cfa3b07">svd.h</a>
+, <a class="el" href="svd_8c.html#aa65fbd187ce13d0da98cecb40cfa3b07">svd.c</a>
+</li>
+<li>SVD_ORDER_ABSOLUTE_SING_VALUES
+: <a class="el" href="svd_8h.html#acdb2d1d5cfdead81a1c247037b06823a">svd.h</a>
+</li>
+<li>SVD_QR_STEP
+: <a class="el" href="svd_8h.html#af9e7db6685a0631312bfb93cc58dd756">svd.h</a>
+</li>
+<li>SVD_SPLIT_AT_NEGLIGIBLE_VALUES
+: <a class="el" href="svd_8h.html#a70d46444b7291fdb50510447bb1ab9a4">svd.h</a>
+</li>
+<li>svd_test()
+: <a class="el" href="svd__test_8c.html#a5b3fa4be9f289d4078fdd009719a4077">svd_test.c</a>
+, <a class="el" href="svd__test_8h.html#a5b3fa4be9f289d4078fdd009719a4077">svd_test.h</a>
+</li>
+</ul>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
+ </ul>
+</div>
+</body>
+</html>
diff --git a/doc/doxygen/html/globals_t.html b/doc/doxygen/html/globals_t.html
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+<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 1.8.16"/>
+<meta name="viewport" content="width=device-width, initial-scale=1"/>
+<title>RcdMathLib_doc: Globals</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>
+<script type="text/javascript">
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+/* @license-end */</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>
+<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">RcdMathLib_doc
+ </div>
+ <div id="projectbrief">Open Source Library for Linear and Non-linear Algebra</div>
+ </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.16 -->
+<script type="text/javascript">
+/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&dn=gpl-2.0.txt GPL-v2 */
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+<div id="doc-content">
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+<!-- iframe showing the search results (closed by default) -->
+<div id="MSearchResultsWindow">
+<iframe src="javascript:void(0)" frameborder="0"
+ name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="contents">
+<div class="textblock">Here is a list of all documented functions, variables, defines, enums, and typedefs with links to the documentation:</div>
+
+<h3><a id="index_t"></a>- t -</h3><ul>
+<li>triangular_matrices_test()
+: <a class="el" href="matrix__test_8h.html#af3bd1663337eb8dbe0fbcb49b517621f">matrix_test.h</a>
+, <a class="el" href="matrix__test_8c.html#af3bd1663337eb8dbe0fbcb49b517621f">matrix_test.c</a>
+</li>
+<li>trilateration1()
+: <a class="el" href="trilateration_8c.html#a95fc45efcb10019be21704539eeedefb">trilateration.c</a>
+, <a class="el" href="trilateration_8h.html#a95fc45efcb10019be21704539eeedefb">trilateration.h</a>
+</li>
+<li>trilateration2()
+: <a class="el" href="trilateration_8h.html#adf749802a4d86c2a97a6bac50d17bfea">trilateration.h</a>
+, <a class="el" href="trilateration_8c.html#adf749802a4d86c2a97a6bac50d17bfea">trilateration.c</a>
+</li>
+<li>trilateration_get_A_matrix()
+: <a class="el" href="trilateration_8c.html#a3c9dfccb08c7e4cdb5533cd6bc8b5832">trilateration.c</a>
+, <a class="el" href="trilateration_8h.html#a3c9dfccb08c7e4cdb5533cd6bc8b5832">trilateration.h</a>
+</li>
+<li>trilateration_get_b_vector()
+: <a class="el" href="trilateration_8h.html#abe0c5c3a77d41a6a94aceb8069ec2082">trilateration.h</a>
+, <a class="el" href="trilateration_8c.html#abe0c5c3a77d41a6a94aceb8069ec2082">trilateration.c</a>
+</li>
+<li>trilateration_get_particular_solution()
+: <a class="el" href="trilateration_8h.html#a76695d4831cf7c08b468fe56f117b358">trilateration.h</a>
+, <a class="el" href="trilateration_8c.html#a76695d4831cf7c08b468fe56f117b358">trilateration.c</a>
+</li>
+<li>trilateration_get_quadratic_equation_solution()
+: <a class="el" href="trilateration_8h.html#a821d668be2cee0fa1881c05ab99e05fe">trilateration.h</a>
+, <a class="el" href="trilateration_8c.html#a45883b7c5af43c478bb488b536faa56e">trilateration.c</a>
+</li>
+<li>trilateration_get_rank_and_homogeneous_solution()
+: <a class="el" href="trilateration_8h.html#ab5f06e68df75b4708d722c268932578c">trilateration.h</a>
+, <a class="el" href="trilateration_8c.html#ab5f06e68df75b4708d722c268932578c">trilateration.c</a>
+</li>
+<li>trilateration_preprocessed_get_particular_solution()
+: <a class="el" href="trilateration_8c.html#aadf622c7ec43dce57988a9aef1533758">trilateration.c</a>
+, <a class="el" href="trilateration_8h.html#aadf622c7ec43dce57988a9aef1533758">trilateration.h</a>
+</li>
+<li>trilateration_solve_linear_equation()
+: <a class="el" href="trilateration_8c.html#a4270371ead754327c478d19d57bfafba">trilateration.c</a>
+, <a class="el" href="trilateration_8h.html#a4270371ead754327c478d19d57bfafba">trilateration.h</a>
+</li>
+</ul>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
+ </ul>
+</div>
+</body>
+</html>
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+<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 1.8.16"/>
+<meta name="viewport" content="width=device-width, initial-scale=1"/>
+<title>RcdMathLib_doc: Globals</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>
+<script type="text/javascript">
+/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&dn=gpl-2.0.txt GPL-v2 */
+ $(document).ready(initResizable);
+/* @license-end */</script>
+<link href="search/search.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="search/searchdata.js"></script>
+<script type="text/javascript" src="search/search.js"></script>
+<link href="doxygen.css" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+ <td id="projectalign" style="padding-left: 0.5em;">
+ <div id="projectname">RcdMathLib_doc
+ </div>
+ <div id="projectbrief">Open Source Library for Linear and Non-linear Algebra</div>
+ </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.16 -->
+<script type="text/javascript">
+/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&dn=gpl-2.0.txt GPL-v2 */
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+<script type="text/javascript">
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+<div id="side-nav" class="ui-resizable side-nav-resizable">
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+ <div id="nav-sync" class="sync"></div>
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+ class="ui-resizable-handle">
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+</div>
+<script type="text/javascript">
+/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&dn=gpl-2.0.txt GPL-v2 */
+$(document).ready(function(){initNavTree('globals_u.html','');});
+/* @license-end */
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+<div id="doc-content">
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+ onmouseover="return searchBox.OnSearchSelectShow()"
+ onmouseout="return searchBox.OnSearchSelectHide()"
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+<div id="MSearchResultsWindow">
+<iframe src="javascript:void(0)" frameborder="0"
+ name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="contents">
+<div class="textblock">Here is a list of all documented functions, variables, defines, enums, and typedefs with links to the documentation:</div>
+
+<h3><a id="index_u"></a>- u -</h3><ul>
+<li>utils_get_median()
+: <a class="el" href="utils_8h.html#a971d455baef2d25c61e94c4bc4ac13ee">utils.h</a>
+, <a class="el" href="utils_8c.html#a971d455baef2d25c61e94c4bc4ac13ee">utils.c</a>
+</li>
+<li>utils_get_save_square_root()
+: <a class="el" href="utils_8c.html#a8cda5a6c15e99e2b76abfb04316301d8">utils.c</a>
+, <a class="el" href="utils_8h.html#a8cda5a6c15e99e2b76abfb04316301d8">utils.h</a>
+</li>
+<li>utils_max()
+: <a class="el" href="utils_8h.html#a0ae8ea233ea6c519cd0434f8c5bde5e5">utils.h</a>
+, <a class="el" href="utils_8c.html#a0ae8ea233ea6c519cd0434f8c5bde5e5">utils.c</a>
+</li>
+<li>utils_mean()
+: <a class="el" href="utils_8c.html#acda1e3a1b76af6e0e57b507472986ad6">utils.c</a>
+, <a class="el" href="utils_8h.html#acda1e3a1b76af6e0e57b507472986ad6">utils.h</a>
+</li>
+<li>utils_min()
+: <a class="el" href="utils_8h.html#ab734a543e5543adb2bd98e1bf279a23d">utils.h</a>
+, <a class="el" href="utils_8c.html#ab734a543e5543adb2bd98e1bf279a23d">utils.c</a>
+</li>
+<li>utils_moving_average()
+: <a class="el" href="utils_8h.html#a535a04a4bff82c88599e4648dfa7cfe1">utils.h</a>
+, <a class="el" href="utils_8c.html#a535a04a4bff82c88599e4648dfa7cfe1">utils.c</a>
+</li>
+<li>utils_printf()
+: <a class="el" href="utils_8h.html#a335d8d6c4b945638261228cd116cccd6">utils.h</a>
+, <a class="el" href="utils_8c.html#a335d8d6c4b945638261228cd116cccd6">utils.c</a>
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+<li>utils_sind()
+: <a class="el" href="utils_8c.html#aad6440ba12fa7e2e1fae5ba6dc99cabf">utils.c</a>
+, <a class="el" href="utils_8h.html#aad6440ba12fa7e2e1fae5ba6dc99cabf">utils.h</a>
+</li>
+<li>utils_swap()
+: <a class="el" href="utils_8h.html#ad21f654c48115ba2419ca98644a44ae9">utils.h</a>
+, <a class="el" href="utils_8c.html#ad21f654c48115ba2419ca98644a44ae9">utils.c</a>
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+<li>utils_test()
+: <a class="el" href="utils__test_8h.html#a91c61f3d2a5985466b46f5b15ad0faf7">utils_test.h</a>
+, <a class="el" href="utils__test_8c.html#a91c61f3d2a5985466b46f5b15ad0faf7">utils_test.c</a>
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+<li>utils_to_radian()
+: <a class="el" href="utils_8h.html#a689d2d3db40d341609423404abc5a23a">utils.h</a>
+, <a class="el" href="utils_8c.html#a689d2d3db40d341609423404abc5a23a">utils.c</a>
+</li>
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+: <a class="el" href="utils_8h.html#a8163bb6a1c9742b9607fd87c6b3df5c5">utils.h</a>
+, <a class="el" href="utils_8c.html#a8163bb6a1c9742b9607fd87c6b3df5c5">utils.c</a>
+</li>
+<li>utils_u8_min()
+: <a class="el" href="utils_8c.html#a81dabd4841ab656130497f0600979850">utils.c</a>
+, <a class="el" href="utils_8h.html#a81dabd4841ab656130497f0600979850">utils.h</a>
+</li>
+</ul>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
+ </ul>
+</div>
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+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
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+<meta name="viewport" content="width=device-width, initial-scale=1"/>
+<title>RcdMathLib_doc: Globals</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>
+<script type="text/javascript">
+/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&dn=gpl-2.0.txt GPL-v2 */
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+/* @license-end */</script>
+<link href="search/search.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="search/searchdata.js"></script>
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+<link href="doxygen.css" rel="stylesheet" type="text/css" />
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+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+ <td id="projectalign" style="padding-left: 0.5em;">
+ <div id="projectname">RcdMathLib_doc
+ </div>
+ <div id="projectbrief">Open Source Library for Linear and Non-linear Algebra</div>
+ </td>
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+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.16 -->
+<script type="text/javascript">
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+<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('globals_v.html','');});
+/* @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="contents">
+<div class="textblock">Here is a list of all documented functions, variables, defines, enums, and typedefs with links to the documentation:</div>
+
+<h3><a id="index_v"></a>- v -</h3><ul>
+<li>vector_add()
+: <a class="el" href="vector_8h.html#a92917951880002814392c2367896d7a0">vector.h</a>
+, <a class="el" href="vector_8c.html#a92917951880002814392c2367896d7a0">vector.c</a>
+</li>
+<li>vector_clear()
+: <a class="el" href="vector_8c.html#ac4b023769faf53e06c2ed1f2fd928d14">vector.c</a>
+, <a class="el" href="vector_8h.html#a758d38ad9623aa8c385bce765a3b7d17">vector.h</a>
+</li>
+<li>vector_copy()
+: <a class="el" href="vector_8h.html#ae9d3378f23ba835c727245b434b8a7f6">vector.h</a>
+, <a class="el" href="vector_8c.html#ae9d3378f23ba835c727245b434b8a7f6">vector.c</a>
+</li>
+<li>vector_flex_print()
+: <a class="el" href="vector_8c.html#ab2827264910e858f238868695a92db4b">vector.c</a>
+, <a class="el" href="vector_8h.html#ab2827264910e858f238868695a92db4b">vector.h</a>
+</li>
+<li>vector_get_elements()
+: <a class="el" href="vector_8h.html#a1348a041e323e7b333482242b51a7674">vector.h</a>
+, <a class="el" href="vector_8c.html#a1348a041e323e7b333482242b51a7674">vector.c</a>
+</li>
+<li>vector_get_euclidean_distance()
+: <a class="el" href="vector_8h.html#abbb6bf046e47a8634c15c43a508cacb9">vector.h</a>
+, <a class="el" href="vector_8c.html#abbb6bf046e47a8634c15c43a508cacb9">vector.c</a>
+</li>
+<li>vector_get_index_vector()
+: <a class="el" href="vector_8h.html#a45dfc0cdad1f1a542df4029b498766ba">vector.h</a>
+, <a class="el" href="vector_8c.html#a45dfc0cdad1f1a542df4029b498766ba">vector.c</a>
+</li>
+<li>vector_get_max_and_index()
+: <a class="el" href="vector_8c.html#a982bc2f9e4755461eac46c6322b4562d">vector.c</a>
+, <a class="el" href="vector_8h.html#a982bc2f9e4755461eac46c6322b4562d">vector.h</a>
+</li>
+<li>vector_get_mean_value()
+: <a class="el" href="vector_8h.html#a4a8fae4c69677390016c116123d9eff8">vector.h</a>
+, <a class="el" href="vector_8c.html#a4a8fae4c69677390016c116123d9eff8">vector.c</a>
+</li>
+<li>vector_get_norm2()
+: <a class="el" href="vector_8h.html#a4cfc452fdff3e32a601ccff140cd9ae6">vector.h</a>
+, <a class="el" href="vector_8c.html#a4cfc452fdff3e32a601ccff140cd9ae6">vector.c</a>
+</li>
+<li>vector_get_residual()
+: <a class="el" href="vector_8h.html#a1fcbe913017a3b6802d5f66c8ef699ac">vector.h</a>
+, <a class="el" href="vector_8c.html#a1fcbe913017a3b6802d5f66c8ef699ac">vector.c</a>
+</li>
+<li>vector_get_scalar_product()
+: <a class="el" href="vector_8h.html#a5f4b706c07b9b0f7a4983d80fba99e4e">vector.h</a>
+, <a class="el" href="vector_8c.html#a5f4b706c07b9b0f7a4983d80fba99e4e">vector.c</a>
+</li>
+<li>vector_get_square_norm2()
+: <a class="el" href="vector_8h.html#aab9d7950d4ba03b0e1a23de5b7fae6a6">vector.h</a>
+, <a class="el" href="vector_8c.html#aab9d7950d4ba03b0e1a23de5b7fae6a6">vector.c</a>
+</li>
+<li>vector_get_sum()
+: <a class="el" href="vector_8h.html#af1767c4decdd472ed81035a19cf2152b">vector.h</a>
+, <a class="el" href="vector_8c.html#af1767c4decdd472ed81035a19cf2152b">vector.c</a>
+</li>
+<li>vector_in_place_scalar_mul()
+: <a class="el" href="vector_8h.html#a90a92f618957807f90ab1d8a8d9150d4">vector.h</a>
+, <a class="el" href="vector_8c.html#a90a92f618957807f90ab1d8a8d9150d4">vector.c</a>
+</li>
+<li>vector_is_equal()
+: <a class="el" href="vector_8c.html#af98f2e3896ce7b96d598b11033ac1795">vector.c</a>
+, <a class="el" href="vector_8h.html#af98f2e3896ce7b96d598b11033ac1795">vector.h</a>
+</li>
+<li>vector_mul()
+: <a class="el" href="vector_8h.html#a099aa56dd0f260c77afaf8b62b56b2c5">vector.h</a>
+, <a class="el" href="vector_8c.html#a099aa56dd0f260c77afaf8b62b56b2c5">vector.c</a>
+</li>
+<li>vector_print()
+: <a class="el" href="vector_8h.html#a8f24286db94dba6ab181edcdfe296262">vector.h</a>
+, <a class="el" href="vector_8c.html#a8f24286db94dba6ab181edcdfe296262">vector.c</a>
+</li>
+<li>vector_print_u8_array()
+: <a class="el" href="vector_8c.html#a8ec75dc585746d950ab517e9929f31fe">vector.c</a>
+, <a class="el" href="vector_8h.html#a8ec75dc585746d950ab517e9929f31fe">vector.h</a>
+</li>
+<li>vector_scalar_div()
+: <a class="el" href="vector_8c.html#ae41fee7d298da0645c37ed6af7acea0b">vector.c</a>
+, <a class="el" href="vector_8h.html#ae41fee7d298da0645c37ed6af7acea0b">vector.h</a>
+</li>
+<li>vector_scalar_mul()
+: <a class="el" href="vector_8c.html#a3c0bdd0e463fb34757a71470c55af845">vector.c</a>
+, <a class="el" href="vector_8h.html#a3c0bdd0e463fb34757a71470c55af845">vector.h</a>
+</li>
+<li>vector_square()
+: <a class="el" href="vector_8c.html#afc68fab0b07c974faf5a457d20b01c58">vector.c</a>
+, <a class="el" href="vector_8h.html#afc68fab0b07c974faf5a457d20b01c58">vector.h</a>
+</li>
+<li>vector_sub()
+: <a class="el" href="vector_8c.html#a3bbd999b10064c2ede2bd427aa040b63">vector.c</a>
+, <a class="el" href="vector_8h.html#a3bbd999b10064c2ede2bd427aa040b63">vector.h</a>
+</li>
+<li>vector_t
+: <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector.h</a>
+</li>
+<li>vector_test()
+: <a class="el" href="vector__test_8h.html#ab0aed13072bc11b97766634c625d6f21">vector_test.h</a>
+, <a class="el" href="vector__test_8c.html#ab0aed13072bc11b97766634c625d6f21">vector_test.c</a>
+</li>
+<li>vector_uint32_is_equal()
+: <a class="el" href="vector_8c.html#a421f989647bf55af29c0f55b7f33d35a">vector.c</a>
+, <a class="el" href="vector_8h.html#a421f989647bf55af29c0f55b7f33d35a">vector.h</a>
+</li>
+</ul>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
+ </ul>
+</div>
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+</html>
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+ <div id="projectbrief">Open Source Library for Linear and Non-linear Algebra</div>
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+<div id="side-nav" class="ui-resizable side-nav-resizable">
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+ <div id="nav-tree-contents">
+ <div id="nav-sync" class="sync"></div>
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+ class="ui-resizable-handle">
+ </div>
+</div>
+<script type="text/javascript">
+/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&dn=gpl-2.0.txt GPL-v2 */
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+/* @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="#files">Files</a> </div>
+ <div class="headertitle">
+<div class="title">BASIC_OPERATIONS<div class="ingroups"><a class="el" href="group__linear__algebra.html">LINEAR_ALGEBRA</a></div></div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Matrix basic operations.
+<a href="#details">More...</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="files"></a>
+Files</h2></td></tr>
+<tr class="memitem:matrix_8h"><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8h.html">matrix.h</a></td></tr>
+<tr class="memdesc:matrix_8h"><td class="mdescLeft"> </td><td class="mdescRight">Matrix computations. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:vector_8h"><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="vector_8h.html">vector.h</a></td></tr>
+<tr class="memdesc:vector_8h"><td class="mdescLeft"> </td><td class="mdescRight">Vector computations. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<p>Matrix basic operations. </p>
+<p>This module provides functions to perform basic matrix operations such as matrix addition, multiplication, or transposition.</p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi </dd></dl>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
+ </ul>
+</div>
+</body>
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+<meta name="generator" content="Doxygen 1.8.16"/>
+<meta name="viewport" content="width=device-width, initial-scale=1"/>
+<title>RcdMathLib_doc: DISTANCE_BASED</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
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+<script type="text/javascript" src="dynsections.js"></script>
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+<script type="text/javascript" src="navtreedata.js"></script>
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+/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&dn=gpl-2.0.txt GPL-v2 */
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+/* @license-end */</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>
+<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">RcdMathLib_doc
+ </div>
+ <div id="projectbrief">Open Source Library for Linear and Non-linear Algebra</div>
+ </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.16 -->
+<script type="text/javascript">
+/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&dn=gpl-2.0.txt GPL-v2 */
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+<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 */
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+ 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('group__distance__based.html','');});
+/* @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="#files">Files</a> </div>
+ <div class="headertitle">
+<div class="title">DISTANCE_BASED<div class="ingroups"><a class="el" href="group__localization.html">LOCALIZATION</a> » <a class="el" href="group__position__algos.html">POSITION_ALGOS</a></div></div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>localization algorithms of distance-based localization systems.
+<a href="#details">More...</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="files"></a>
+Files</h2></td></tr>
+<tr class="memitem:dist__based__fi_8h"><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="dist__based__fi_8h.html">dist_based_fi.h</a></td></tr>
+<tr class="memdesc:dist__based__fi_8h"><td class="mdescLeft"> </td><td class="mdescRight">Error function of distance-based localization systems. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:dist__based__jacobian_8h"><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="dist__based__jacobian_8h.html">dist_based_jacobian.h</a></td></tr>
+<tr class="memdesc:dist__based__jacobian_8h"><td class="mdescLeft"> </td><td class="mdescRight">Jacobian function of distance-based localization systems. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:dist__based__position_8h"><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="dist__based__position_8h.html">dist_based_position.h</a></td></tr>
+<tr class="memdesc:dist__based__position_8h"><td class="mdescLeft"> </td><td class="mdescRight">Functions of distance-based localization systems. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<p>localization algorithms of distance-based localization systems. </p>
+<p>The localization module contains functions to compute a position of a mobile device using distance measurements signals.</p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi </dd></dl>
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+<a href="#files">Files</a> </div>
+ <div class="headertitle">
+<div class="title">EXAMPLES</div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Examples of the RcdMathLib.
+<a href="#details">More...</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="files"></a>
+Files</h2></td></tr>
+<tr class="memitem:matrix__test_8h"><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix__test_8h.html">matrix_test.h</a></td></tr>
+<tr class="memdesc:matrix__test_8h"><td class="mdescLeft"> </td><td class="mdescRight">Examples of matrix computations. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:vector__test_8h"><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="vector__test_8h.html">vector_test.h</a></td></tr>
+<tr class="memdesc:vector__test_8h"><td class="mdescLeft"> </td><td class="mdescRight">Examples of vector computations. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:givens__test_8h"><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="givens__test_8h.html">givens_test.h</a></td></tr>
+<tr class="memdesc:givens__test_8h"><td class="mdescLeft"> </td><td class="mdescRight">Examples of the Givens algorithm. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:householder__test_8h"><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="householder__test_8h.html">householder_test.h</a></td></tr>
+<tr class="memdesc:householder__test_8h"><td class="mdescLeft"> </td><td class="mdescRight">Examples of the Householder algorithm. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:lu__decomp__test_8h"><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="lu__decomp__test_8h.html">lu_decomp_test.h</a></td></tr>
+<tr class="memdesc:lu__decomp__test_8h"><td class="mdescLeft"> </td><td class="mdescRight">Examples of the LU algorithm with pivoting. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:svd__test_8h"><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="svd__test_8h.html">svd_test.h</a></td></tr>
+<tr class="memdesc:svd__test_8h"><td class="mdescLeft"> </td><td class="mdescRight">Examples of the SVD algorithm. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:moore__penrose__pinv__test_8h"><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="moore__penrose__pinv__test_8h.html">moore_penrose_pinv_test.h</a></td></tr>
+<tr class="memdesc:moore__penrose__pinv__test_8h"><td class="mdescLeft"> </td><td class="mdescRight">Examples of the Moore–Penrose algorithm. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:qr__pinv__test_8h"><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="qr__pinv__test_8h.html">qr_pinv_test.h</a></td></tr>
+<tr class="memdesc:qr__pinv__test_8h"><td class="mdescLeft"> </td><td class="mdescRight">Examples of the QR-based pseudo-inverse algorithm. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:solve__test_8h"><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="solve__test_8h.html">solve_test.h</a></td></tr>
+<tr class="memdesc:solve__test_8h"><td class="mdescLeft"> </td><td class="mdescRight">Examples of solving linear equation systems. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:utils__test_8h"><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="utils__test_8h.html">utils_test.h</a></td></tr>
+<tr class="memdesc:utils__test_8h"><td class="mdescLeft"> </td><td class="mdescRight">Examples of the utility functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:distance__based__test_8h"><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="distance__based__test_8h.html">distance_based_test.h</a></td></tr>
+<tr class="memdesc:distance__based__test_8h"><td class="mdescLeft"> </td><td class="mdescRight">Examples of localization algorithms of distance-based positioning systems. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:magnetic__based__test_8h"><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="magnetic__based__test_8h.html">magnetic_based_test.h</a></td></tr>
+<tr class="memdesc:magnetic__based__test_8h"><td class="mdescLeft"> </td><td class="mdescRight">Examples of localization algorithms of magnetic-based positioning systems. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:pos__algos__common__test_8h"><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="pos__algos__common__test_8h.html">pos_algos_common_test.h</a></td></tr>
+<tr class="memdesc:pos__algos__common__test_8h"><td class="mdescLeft"> </td><td class="mdescRight">Examples of common algorithms of localization systems. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:multipath__algo__own__norm__distr__test_8h"><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="multipath__algo__own__norm__distr__test_8h.html">multipath_algo_own_norm_distr_test.h</a></td></tr>
+<tr class="memdesc:multipath__algo__own__norm__distr__test_8h"><td class="mdescLeft"> </td><td class="mdescRight">Example of the algorithm for the recognition and mitigation of multipath effects. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:position__optimization__test_8h"><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="position__optimization__test_8h.html">position_optimization_test.h</a></td></tr>
+<tr class="memdesc:position__optimization__test_8h"><td class="mdescLeft"> </td><td class="mdescRight">Examples of optimization algorithms for localization systems. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:optimization__test_8h"><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="optimization__test_8h.html">optimization_test.h</a></td></tr>
+<tr class="memdesc:optimization__test_8h"><td class="mdescLeft"> </td><td class="mdescRight">Examples of optimization algorithms. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:fsolve__test_8h"><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="fsolve__test_8h.html">fsolve_test.h</a></td></tr>
+<tr class="memdesc:fsolve__test_8h"><td class="mdescLeft"> </td><td class="mdescRight">Examples of solving non-linear equation systems. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<p>Examples of the RcdMathLib. </p>
+<p>Includes examples of all RcdMathLib's modules.</p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi </dd></dl>
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+<div class="header">
+ <div class="summary">
+<a href="#groups">Modules</a> </div>
+ <div class="headertitle">
+<div class="title">LINEAR_ALGEBRA</div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Linear algebra operations.
+<a href="#details">More...</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="groups"></a>
+Modules</h2></td></tr>
+<tr class="memitem:group__basic__operations"><td class="memItemLeft" align="right" valign="top"> </td><td class="memItemRight" valign="bottom"><a class="el" href="group__basic__operations.html">BASIC_OPERATIONS</a></td></tr>
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+<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:group__matrix__decompositions"><td class="memItemLeft" align="right" valign="top"> </td><td class="memItemRight" valign="bottom"><a class="el" href="group__matrix__decompositions.html">MATRIX_DECOMPOSITIONS</a></td></tr>
+<tr class="memdesc:group__matrix__decompositions"><td class="mdescLeft"> </td><td class="mdescRight">Matrix decomposition algorithms. <br /></td></tr>
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+<tr class="memitem:group__pseudo__inverse"><td class="memItemLeft" align="right" valign="top"> </td><td class="memItemRight" valign="bottom"><a class="el" href="group__pseudo__inverse.html">PSEUDO_INVERSE</a></td></tr>
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+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<p>Linear algebra operations. </p>
+<p>The linear algebra module contains functions that are specific to vector and matrix operations, and other algebraic operations. This module is composed of five submodules: basic_operation, matrix_decompositions, pseudo_inverse, solve_linear_equations, and utilities submodules.</p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi </dd></dl>
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+<p>localization and optimization algorithms of distance- and magnetic-based localization systems.
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+<table class="memberdecls">
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+<tr class="memitem:group__position__algos"><td class="memItemLeft" align="right" valign="top"> </td><td class="memItemRight" valign="bottom"><a class="el" href="group__position__algos.html">POSITION_ALGOS</a></td></tr>
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+<tr class="memitem:group__position__optimization"><td class="memItemLeft" align="right" valign="top"> </td><td class="memItemRight" valign="bottom"><a class="el" href="group__position__optimization.html">POSITION_OPTIMIZATION</a></td></tr>
+<tr class="memdesc:group__position__optimization"><td class="mdescLeft"> </td><td class="mdescRight">position optimization of distance- and magnetic-based localization systems. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<p>localization and optimization algorithms of distance- and magnetic-based localization systems. </p>
+<p>The localization module contains functions to compute a position of a mobile device using distance measurements or DC-pulsed, magnetic signals. This module also includes optimization algorithms such as the Levenberg–Marquardt approach to optimize the calculated position. The localization module also involves a method to recognize and mitigate the multipath errors on the mobile station.</p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi </dd></dl>
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+<p>localization algorithms of magnetic-based localization systems.
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+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<p>localization algorithms of magnetic-based localization systems. </p>
+<p>The localization module contains functions to compute a position of a mobile device using artificially generated DC-pulsed, magnetic signals.</p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi </dd></dl>
+</div><!-- contents -->
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+<a href="#details">More...</a></p>
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+<tr class="memitem:qr__givens_8h"><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="qr__givens_8h.html">qr_givens.h</a></td></tr>
+<tr class="memdesc:qr__givens_8h"><td class="mdescLeft"> </td><td class="mdescRight">Givens algorithm for the QR-decomposition. Provide necessary methods to construct Q- and R- matrices using Givens rotations. A = QR, where Q is an (m <img class="formulaInl" alt="$\times$" src="form_35.png"/> n)-matrix with orthonormal columns and R is an (n <img class="formulaInl" alt="$\times$" src="form_35.png"/> n) upper triangular matrix. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:qr__householder_8h"><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="qr__householder_8h.html">qr_householder.h</a></td></tr>
+<tr class="memdesc:qr__householder_8h"><td class="mdescLeft"> </td><td class="mdescRight">Householder algorithm for the QR-decomposition. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:svd_8h"><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="svd_8h.html">svd.h</a></td></tr>
+<tr class="memdesc:svd_8h"><td class="mdescLeft"> </td><td class="mdescRight">Algorithm for the Singular Value Decomposition (SVD). <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<p>Matrix decomposition algorithms. </p>
+<p>This module provides algorithms of matrix decomposition such as Householder, Givens, or Golub-Kahan-Reinsch algorithms.</p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi </dd></dl>
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+<div class="title">NON_LINEAR_ALGEBRA</div> </div>
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+
+<p>Non-linear algebra operations.
+<a href="#details">More...</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="groups"></a>
+Modules</h2></td></tr>
+<tr class="memitem:group__optimization"><td class="memItemLeft" align="right" valign="top"> </td><td class="memItemRight" valign="bottom"><a class="el" href="group__optimization.html">OPTIMIZATION</a></td></tr>
+<tr class="memdesc:group__optimization"><td class="mdescLeft"> </td><td class="mdescRight">Solving problems of regression smoothing and curve fitting. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:group__solve__non__linear__equations"><td class="memItemLeft" align="right" valign="top"> </td><td class="memItemRight" valign="bottom"><a class="el" href="group__solve__non__linear__equations.html">SOLVE_NON_LINEAR_EQUATIONS</a></td></tr>
+<tr class="memdesc:group__solve__non__linear__equations"><td class="mdescLeft"> </td><td class="mdescRight">Enables to solve multi-variant nonlinear equation systems. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<p>Non-linear algebra operations. </p>
+<p>The non-linear algebra module contains functions to solve multi-variant nonlinear equations as wells algorithms solving problems of regression smoothing and curve fitting. This module also enables enables the optimization of an approximate solution by using Non-linear Least Squares (NLS) methods such as modified Gauss–Newton (GN) or the Levenberg–Marquardt (LVM) algorithms.</p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi </dd></dl>
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+</div><!-- doc-content -->
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+<div class="title">OPTIMIZATION<div class="ingroups"><a class="el" href="group__non__linear__algebra.html">NON_LINEAR_ALGEBRA</a></div></div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Solving problems of regression smoothing and curve fitting.
+<a href="#details">More...</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="files"></a>
+Files</h2></td></tr>
+<tr class="memitem:levenberg__marquardt_8h"><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="levenberg__marquardt_8h.html">levenberg_marquardt.h</a></td></tr>
+<tr class="memdesc:levenberg__marquardt_8h"><td class="mdescLeft"> </td><td class="mdescRight">Implement the Levenberg–Marquardt (LVM) algorithm. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:modified__gauss__newton_8h"><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="modified__gauss__newton_8h.html">modified_gauss_newton.h</a></td></tr>
+<tr class="memdesc:modified__gauss__newton_8h"><td class="mdescLeft"> </td><td class="mdescRight">Implement the Gauss–Newton algorithm. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<p>Solving problems of regression smoothing and curve fitting. </p>
+<p>This module also enables the optimization of an approximate solution by using Non-linear Least Squares (NLS) methods such as modified Gauss–Newton (GN) or the Levenberg–Marquardt (LVM) algorithms.</p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi </dd></dl>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
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+<div class="header">
+ <div class="summary">
+<a href="#files">Files</a> </div>
+ <div class="headertitle">
+<div class="title">POS_ALGOS_COMMON<div class="ingroups"><a class="el" href="group__localization.html">LOCALIZATION</a> » <a class="el" href="group__position__algos.html">POSITION_ALGOS</a></div></div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Common algorithms of localization systems.
+<a href="#details">More...</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="files"></a>
+Files</h2></td></tr>
+<tr class="memitem:DOP_8h"><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="DOP_8h.html">DOP.h</a></td></tr>
+<tr class="memdesc:DOP_8h"><td class="mdescLeft"> </td><td class="mdescRight">Compute the Position Dilution of Precision (PDOP). <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:trilateration_8h"><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="trilateration_8h.html">trilateration.h</a></td></tr>
+<tr class="memdesc:trilateration_8h"><td class="mdescLeft"> </td><td class="mdescRight">Implement the trilateration algorithm. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<p>Common algorithms of localization systems. </p>
+<p>This module contains common functions such as the trilateration or the Position Dilution of Precision (PDOP).</p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi </dd></dl>
+</div><!-- contents -->
+</div><!-- doc-content -->
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+<title>RcdMathLib_doc: POSITION_ALGOS</title>
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+<p>localization algorithms of distance- and magnetic-based localization systems.
+<a href="#details">More...</a></p>
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+<tr class="memitem:group__magnetic__based"><td class="memItemLeft" align="right" valign="top"> </td><td class="memItemRight" valign="bottom"><a class="el" href="group__magnetic__based.html">MAGNETIC_BASED</a></td></tr>
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+<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:group__pos__algos__common"><td class="memItemLeft" align="right" valign="top"> </td><td class="memItemRight" valign="bottom"><a class="el" href="group__pos__algos__common.html">POS_ALGOS_COMMON</a></td></tr>
+<tr class="memdesc:group__pos__algos__common"><td class="mdescLeft"> </td><td class="mdescRight">Common algorithms of localization systems. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<p>localization algorithms of distance- and magnetic-based localization systems. </p>
+<p>The localization module contains functions to compute a position of a mobile device using distance measurements or DC-pulsed, magnetic signals.</p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi </dd></dl>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
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+<div class="title">POSITION_OPTIMIZATION<div class="ingroups"><a class="el" href="group__localization.html">LOCALIZATION</a></div></div> </div>
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+<a href="#details">More...</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="files"></a>
+Files</h2></td></tr>
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+<tr class="memdesc:loc__gauss__newton_8h"><td class="mdescLeft"> </td><td class="mdescRight">Implement the Gauss–Newton algorithm for position optimization. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
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+<tr class="memdesc:loc__levenberg__marquardt_8h"><td class="mdescLeft"> </td><td class="mdescRight">Implement the Levenberg–Marquardt (LVM) algorithm for position optimization. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:multipath__dist__detection__mitigation_8h"><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="multipath__dist__detection__mitigation_8h.html">multipath_dist_detection_mitigation.h</a></td></tr>
+<tr class="memdesc:multipath__dist__detection__mitigation_8h"><td class="mdescLeft"> </td><td class="mdescRight">Implement the Multipath Distance Detection and Mitigation (MDDM) algorithm. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<p>position optimization of distance- and magnetic-based localization systems. </p>
+<p>The optimization module enables the refinement of a position of a mobile device using algorithms such as Gauss–Newton, Levenberg, or a Multipath Distance Detection and Mitigation (MDDM) algorithm.</p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi </dd></dl>
+</div><!-- contents -->
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+<div class="title">PSEUDO_INVERSE<div class="ingroups"><a class="el" href="group__linear__algebra.html">LINEAR_ALGEBRA</a></div></div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Algorithms to calculate the pseudo-inverse of a matrix.
+<a href="#details">More...</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="files"></a>
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+<tr class="memdesc:pseudo__inverse_8h"><td class="mdescLeft"> </td><td class="mdescRight">Compute the pseudo-inverse of a matrix. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:qr__pseudo__inverse_8h"><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="qr__pseudo__inverse_8h.html">qr_pseudo_inverse.h</a></td></tr>
+<tr class="memdesc:qr__pseudo__inverse_8h"><td class="mdescLeft"> </td><td class="mdescRight">QR decomposition algorithms to compute the pseudo-inverse of a matrix. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<p>Algorithms to calculate the pseudo-inverse of a matrix. </p>
+<p>The pseudo-inverse matrix can be computed using QR-decomposition or SVD algorithms.</p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi </dd></dl>
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+</div><!--header-->
+<div class="contents">
+
+<p>Enables to solve systems of linear equations Ax = b for x.
+<a href="#details">More...</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="files"></a>
+Files</h2></td></tr>
+<tr class="memitem:solve_8h"><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="solve_8h.html">solve.h</a></td></tr>
+<tr class="memdesc:solve_8h"><td class="mdescLeft"> </td><td class="mdescRight">Enables to solve systems of linear equations Ax = b for x. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<p>Enables to solve systems of linear equations Ax = b for x. </p>
+<p>The user can select various algorithm such as the Moore–Penrose inverse, the Givens or the Householder algorithm for the QR-decomposition to solve the systems of linear equations.</p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi </dd></dl>
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+</div><!--header-->
+<div class="contents">
+
+<p>Enables to solve multi-variant nonlinear equation systems.
+<a href="#details">More...</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="files"></a>
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+<tr class="memdesc:newton__raphson_8h"><td class="mdescLeft"> </td><td class="mdescRight">Implement the Newton–Raphson algorithm. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<p>Enables to solve multi-variant nonlinear equation systems. </p>
+<p>The multi-variant nonlinear equation systems are solved using damped or the Newton–Raphson algorithms.</p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi </dd></dl>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
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+<a href="#files">Files</a> </div>
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+<div class="title">UTILITIES<div class="ingroups"><a class="el" href="group__linear__algebra.html">LINEAR_ALGEBRA</a></div></div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Utilities for linear algebra.
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+<table class="memberdecls">
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+<tr class="memdesc:utils_8h"><td class="mdescLeft"> </td><td class="mdescRight">Utilities for linear algebra. <br /></td></tr>
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+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<p>Utilities for linear algebra. </p>
+<p>Utility-functions are needed by linear algebra-module as well as other modules such as the position algorithm-module.</p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi </dd></dl>
+</div><!-- contents -->
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+<div class="header">
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+<a href="#files">Files</a> </div>
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+<div class="title">UTILS<div class="ingroups"><a class="el" href="group__linear__algebra.html">LINEAR_ALGEBRA</a></div></div> </div>
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+<div class="contents">
+
+<p>Utilities for linear algebra.
+<a href="#details">More...</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="files"></a>
+Files</h2></td></tr>
+<tr class="memitem:combinatorics_8h"><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="combinatorics_8h.html">combinatorics.h</a></td></tr>
+<tr class="memdesc:combinatorics_8h"><td class="mdescLeft"> </td><td class="mdescRight">Calculate possible <img class="formulaInl" alt="$ \binom{n}{k} combinations $" src="form_37.png"/> without repetition in ascending order. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
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+<tr class="memdesc:norm__dist__rnd__generator_8h"><td class="mdescLeft"> </td><td class="mdescRight">Generating normally distributed random numbers. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:shell__sort_8h"><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="shell__sort_8h.html">shell_sort.h</a></td></tr>
+<tr class="memdesc:shell__sort_8h"><td class="mdescLeft"> </td><td class="mdescRight">Implement the Shell sort algorithm. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:utils_8h"><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="utils_8h.html">utils.h</a></td></tr>
+<tr class="memdesc:utils_8h"><td class="mdescLeft"> </td><td class="mdescRight">Utilities for linear algebra. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<p>Utilities for linear algebra. </p>
+<p>Utility-functions are needed by linear algebra-module as well as other modules such as the position algorithm-module.</p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi </dd></dl>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
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+<div class="header">
+ <div class="summary">
+<a href="#func-members">Functions</a> </div>
+ <div class="headertitle">
+<div class="title">householder_test.c File Reference</div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Examples of the Householder algorithm.
+<a href="#details">More...</a></p>
+<div class="textblock"><code>#include <stdbool.h></code><br />
+<code>#include <stdio.h></code><br />
+<code>#include "<a class="el" href="matrix_8h_source.html">matrix.h</a>"</code><br />
+<code>#include "<a class="el" href="qr__householder_8h_source.html">qr_householder.h</a>"</code><br />
+</div>
+<p><a href="householder__test_8c_source.html">Go to the source code of this file.</a></p>
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+void </td><td class="memItemRight" valign="bottom"><a class="el" href="householder__test_8c.html#aacc09bb5d8990f8f6f3bc872b9a8d9a0">householder_test</a> (void)</td></tr>
+<tr class="memdesc:aacc09bb5d8990f8f6f3bc872b9a8d9a0"><td class="mdescLeft"> </td><td class="mdescRight">Examples of the Householder algorithm. <br /></td></tr>
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+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Examples of the Householder algorithm. </p>
+<p>Householder algorithm examples (see the <a class="el" href="qr__householder_8h.html">Householder</a> approach).</p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="householder__test_8c_source.html">householder_test.c</a>.</p>
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+/* @license-end */
+</script>
+<div id="doc-content">
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+ onmouseover="return searchBox.OnSearchSelectShow()"
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+ <div class="headertitle">
+<div class="title">householder_test.c</div> </div>
+</div><!--header-->
+<div class="contents">
+<a href="householder__test_8c.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="preprocessor">#include <stdbool.h></span></div>
+<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#include <stdio.h></span></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="preprocessor">#include "<a class="code" href="matrix_8h.html">matrix.h</a>"</span></div>
+<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="preprocessor">#include "<a class="code" href="qr__householder_8h.html">qr_householder.h</a>"</span></div>
+<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>  </div>
+<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>  </div>
+<div class="line"><a name="l00031"></a><span class="lineno"><a class="line" href="householder__test_8h.html#aacc09bb5d8990f8f6f3bc872b9a8d9a0"> 31</a></span> <span class="keywordtype">void</span> <a class="code" href="householder__test_8c.html#aacc09bb5d8990f8f6f3bc872b9a8d9a0">householder_test</a>(<span class="keywordtype">void</span>)</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>  </div>
+<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[10][5] = { { 0.8147, 0.1576, 0.6557, 0.7060, 0.4387 },</div>
+<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  { 0.9058, 0.9706, 0.0357, 0.0318, 0.3816 },</div>
+<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  { 0.1270, 0.9572, 0.8491, 0.2769, 0.7655 },</div>
+<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  { 0.9134, 0.4854, 0.9340, 0.0462, 0.7952 },</div>
+<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  { 0.6324, 0.8003, 0.6787, 0.0971, 0.1869 },</div>
+<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>  { 0.0975, 0.1419, 0.7577, 0.8235, 0.4898 },</div>
+<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>  { 0.2785, 0.4218, 0.7431, 0.6948, 0.4456 },</div>
+<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  { 0.5469, 0.9157, 0.3922, 0.3171, 0.6463 },</div>
+<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  { 0.9575, 0.7922, 0.6555, 0.9502, 0.7094 },</div>
+<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  { 0.9649, 0.9595, 0.1712, 0.0344, 0.7547 } };</div>
+<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  uint8_t m = 10, n = 5;</div>
+<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> copy_A[m][n];</div>
+<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> Q_red[m][n];</div>
+<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> Q[m][m];</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="matrix_8h.html#ae8d8daa117e9f96a5e29fe6c76c4998c">matrix_copy</a>(m, n, A, copy_A);</div>
+<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  <a class="code" href="matrix_8h.html#a0e06b2cfb86340e88be7b1219bef0ce3">matrix_clear</a>(m, n, Q_red);</div>
+<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  <a class="code" href="qr__householder_8h.html#a926e8bce91b658f64837d5c93b0bc74f">qr_householder_decomp</a>(m, n, copy_A, n, Q_red, <span class="keyword">true</span>);</div>
+<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  printf(<span class="stringliteral">"Q_red = "</span>);</div>
+<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  <a class="code" href="matrix_8h.html#a82f374a9b8b215f0ef53d35401eae524">matrix_flex_print</a>(m, n, Q_red, 7, 4);</div>
+<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  printf(<span class="stringliteral">"R_red = "</span>);</div>
+<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  <a class="code" href="matrix_8h.html#a82f374a9b8b215f0ef53d35401eae524">matrix_flex_print</a>(n, n, copy_A, 7, 4);</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>  <a class="code" href="matrix_8h.html#ae8d8daa117e9f96a5e29fe6c76c4998c">matrix_copy</a>(m, n, A, copy_A);</div>
+<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  <a class="code" href="matrix_8h.html#a0e06b2cfb86340e88be7b1219bef0ce3">matrix_clear</a>(m, m, Q);</div>
+<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  <a class="code" href="qr__householder_8h.html#a926e8bce91b658f64837d5c93b0bc74f">qr_householder_decomp</a>(m, n, copy_A, m, Q, <span class="keyword">false</span>);</div>
+<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  printf(<span class="stringliteral">"Q = "</span>);</div>
+<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  <a class="code" href="matrix_8h.html#a82f374a9b8b215f0ef53d35401eae524">matrix_flex_print</a>(m, m, Q, 7, 4);</div>
+<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  printf(<span class="stringliteral">"R = "</span>);</div>
+<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  <a class="code" href="matrix_8h.html#a82f374a9b8b215f0ef53d35401eae524">matrix_flex_print</a>(m, n, copy_A, 7, 4);</div>
+<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  </div>
+<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> B[4][4] = {</div>
+<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  { 6, 0, 0, 6 },</div>
+<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  { 2, 5, 0, 4 },</div>
+<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  { 0, 6, 2, 3 },</div>
+<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  { 0, 1, 5, 5 }</div>
+<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  };</div>
+<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  m = 4;</div>
+<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  n = 4;</div>
+<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> Q1_red[m][n];</div>
+<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  <a class="code" href="qr__householder_8h.html#a926e8bce91b658f64837d5c93b0bc74f">qr_householder_decomp</a>(m, n, B, m, Q1_red, <span class="keyword">true</span>);</div>
+<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  printf(<span class="stringliteral">"Q1 = "</span>);</div>
+<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  <a class="code" href="matrix_8h.html#a82f374a9b8b215f0ef53d35401eae524">matrix_flex_print</a>(m, m, Q1_red, 7, 4);</div>
+<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  printf(<span class="stringliteral">"R1 = "</span>);</div>
+<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  <a class="code" href="matrix_8h.html#a82f374a9b8b215f0ef53d35401eae524">matrix_flex_print</a>(m, n, B, 7, 4);</div>
+<div class="line"><a name="l00079"></a><span class="lineno"> 79</span> }</div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="aqr__householder_8h_html_a926e8bce91b658f64837d5c93b0bc74f"><div class="ttname"><a href="qr__householder_8h.html#a926e8bce91b658f64837d5c93b0bc74f">qr_householder_decomp</a></div><div class="ttdeci">int8_t qr_householder_decomp(uint8_t m, uint8_t n, matrix_t A[][n], uint8_t q_col_num, matrix_t Q[][q_col_num], bool reduced)</div><div class="ttdoc">Computes the QR decomposition of the matrix A by using the Householder algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="qr__householder_8c_source.html#l00033">qr_householder.c:33</a></div></div>
+<div class="ttc" id="amatrix_8h_html_a0e06b2cfb86340e88be7b1219bef0ce3"><div class="ttname"><a href="matrix_8h.html#a0e06b2cfb86340e88be7b1219bef0ce3">matrix_clear</a></div><div class="ttdeci">void matrix_clear(uint8_t m, uint8_t n, matrix_t matrix[m][n])</div><div class="ttdoc">Clear all the elements of the vector.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00046">matrix.c:46</a></div></div>
+<div class="ttc" id="aqr__householder_8h_html"><div class="ttname"><a href="qr__householder_8h.html">qr_householder.h</a></div><div class="ttdoc">Householder algorithm for the QR-decomposition.</div></div>
+<div class="ttc" id="amatrix_8h_html"><div class="ttname"><a href="matrix_8h.html">matrix.h</a></div><div class="ttdoc">Matrix computations.</div></div>
+<div class="ttc" id="amatrix_8h_html_a82f374a9b8b215f0ef53d35401eae524"><div class="ttname"><a href="matrix_8h.html#a82f374a9b8b215f0ef53d35401eae524">matrix_flex_print</a></div><div class="ttdeci">void matrix_flex_print(uint8_t m, uint8_t n, matrix_t matrix[m][n], uint8_t before_dec, uint8_t after_dec)</div><div class="ttdoc">Display the values of the matrix elements.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00220">matrix.c:220</a></div></div>
+<div class="ttc" id="amatrix_8h_html_ae8d8daa117e9f96a5e29fe6c76c4998c"><div class="ttname"><a href="matrix_8h.html#ae8d8daa117e9f96a5e29fe6c76c4998c">matrix_copy</a></div><div class="ttdeci">void matrix_copy(uint8_t m, uint8_t n, matrix_t src_matrix[m][n], matrix_t dest_matrix[m][n])</div><div class="ttdoc">Copy the elements of a matrix to another matrix.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00083">matrix.c:83</a></div></div>
+<div class="ttc" id="amatrix_8h_html_af38ac6b76d645fea9abd6caeb4d9dd31"><div class="ttname"><a href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a></div><div class="ttdeci">#define matrix_t</div><div class="ttdoc">Define the data type of the matrix elements.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8h_source.html#l00038">matrix.h:38</a></div></div>
+<div class="ttc" id="ahouseholder__test_8c_html_aacc09bb5d8990f8f6f3bc872b9a8d9a0"><div class="ttname"><a href="householder__test_8c.html#aacc09bb5d8990f8f6f3bc872b9a8d9a0">householder_test</a></div><div class="ttdeci">void householder_test(void)</div><div class="ttdoc">Examples of the Householder algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="householder__test_8c_source.html#l00031">householder_test.c:31</a></div></div>
+<!-- start footer part -->
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+<a href="#func-members">Functions</a> </div>
+ <div class="headertitle">
+<div class="title">householder_test.h File Reference<div class="ingroups"><a class="el" href="group__examples.html">EXAMPLES</a></div></div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Examples of the Householder algorithm.
+<a href="#details">More...</a></p>
+
+<p><a href="householder__test_8h_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:aacc09bb5d8990f8f6f3bc872b9a8d9a0"><td class="memItemLeft" align="right" valign="top"><a id="aacc09bb5d8990f8f6f3bc872b9a8d9a0"></a>
+void </td><td class="memItemRight" valign="bottom"><a class="el" href="householder__test_8h.html#aacc09bb5d8990f8f6f3bc872b9a8d9a0">householder_test</a> (void)</td></tr>
+<tr class="memdesc:aacc09bb5d8990f8f6f3bc872b9a8d9a0"><td class="mdescLeft"> </td><td class="mdescRight">Examples of the Householder algorithm. <br /></td></tr>
+<tr class="separator:aacc09bb5d8990f8f6f3bc872b9a8d9a0"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Examples of the Householder algorithm. </p>
+<p>Householder algorithm examples (see the <a class="el" href="qr__householder_8h.html">Householder</a> approach).</p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="householder__test_8h_source.html">householder_test.h</a>.</p>
+</div></div><!-- contents -->
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diff --git a/doc/doxygen/html/householder__test_8h.js b/doc/doxygen/html/householder__test_8h.js
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@@ -0,0 +1,121 @@
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+<title>RcdMathLib_doc: householder_test.h Source File</title>
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+ </div>
+ <div id="projectbrief">Open Source Library for Linear and Non-linear Algebra</div>
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+$(document).ready(function(){initNavTree('householder__test_8h_source.html','');});
+/* @license-end */
+</script>
+<div id="doc-content">
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+ onmouseover="return searchBox.OnSearchSelectShow()"
+ onmouseout="return searchBox.OnSearchSelectHide()"
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+<div class="title">householder_test.h</div> </div>
+</div><!--header-->
+<div class="contents">
+<a href="householder__test_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#ifndef HOUSEHOLDER_TEST_H_</span></div>
+<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="preprocessor">#define HOUSEHOLDER_TEST_H_</span></div>
+<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>  </div>
+<div class="line"><a name="l00032"></a><span class="lineno"> 32</span> <span class="keywordtype">void</span> <a class="code" href="householder__test_8h.html#aacc09bb5d8990f8f6f3bc872b9a8d9a0">householder_test</a>(<span class="keywordtype">void</span>);</div>
+<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>  </div>
+<div class="line"><a name="l00034"></a><span class="lineno"> 34</span> <span class="preprocessor">#endif </span><span class="comment">/* HOUSEHOLDER_TEST_H_ */</span><span class="preprocessor"></span></div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="ahouseholder__test_8h_html_aacc09bb5d8990f8f6f3bc872b9a8d9a0"><div class="ttname"><a href="householder__test_8h.html#aacc09bb5d8990f8f6f3bc872b9a8d9a0">householder_test</a></div><div class="ttdeci">void householder_test(void)</div><div class="ttdoc">Examples of the Householder algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="householder__test_8c_source.html#l00031">householder_test.c:31</a></div></div>
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
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+ <li class="footer">Generated by
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diff --git a/doc/doxygen/html/ieee__mobile__computing__lin__alg_8c_source.html b/doc/doxygen/html/ieee__mobile__computing__lin__alg_8c_source.html
new file mode 100644
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+<title>RcdMathLib_doc: F:/temp/publish/RcdMathLib_full_fledged_devices_tmp/RcdMathLib_app/src/RcdMathLib/examples/ieee_mobile_computing_lin_alg.c Source File</title>
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+ <div id="projectname">RcdMathLib_doc
+ </div>
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+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+ onmouseover="return searchBox.OnSearchSelectShow()"
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+ name="MSearchResults" id="MSearchResults">
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+<div class="header">
+ <div class="headertitle">
+<div class="title">ieee_mobile_computing_lin_alg.c</div> </div>
+</div><!--header-->
+<div class="contents">
+<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * ieee_mobile_computing.c</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> * Created on: 26.09.2019</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * Author: zakaria</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span>  </div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="preprocessor">#include <stdio.h></span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span> <span class="preprocessor">#include "<a class="code" href="matrix_8h.html">matrix.h</a>"</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno"> 10</span> <span class="preprocessor">#include "<a class="code" href="vector_8h.html">vector.h</a>"</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno"> 11</span> <span class="preprocessor">#include "<a class="code" href="qr__givens_8h.html">qr_givens.h</a>"</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno"> 12</span> <span class="preprocessor">#include "<a class="code" href="qr__householder_8h.html">qr_householder.h</a>"</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno"> 13</span> <span class="preprocessor">#include "<a class="code" href="qr__common_8h.html">qr_common.h</a>"</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno"> 14</span> <span class="preprocessor">#include "<a class="code" href="svd_8h.html">svd.h</a>"</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno"> 15</span> <span class="preprocessor">#include "<a class="code" href="solve_8h.html">solve.h</a>"</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno"> 16</span>  </div>
+<div class="line"><a name="l00017"></a><span class="lineno"> 17</span> <span class="preprocessor">#define SEC 1000000</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno"> 18</span> <span class="preprocessor">#define ROW_MAX 10</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno"> 19</span> <span class="preprocessor">#define COL_MAX 5</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno"> 20</span>  </div>
+<div class="line"><a name="l00021"></a><span class="lineno"> 21</span> <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[10][5] = { { 0.8147, 0.1576, 0.6557, 0.7060, 0.4387 },</div>
+<div class="line"><a name="l00022"></a><span class="lineno"> 22</span>  { 0.9058, 0.9706, 0.0357, 0.0318, 0.3816 },</div>
+<div class="line"><a name="l00023"></a><span class="lineno"> 23</span>  { 0.1270, 0.9572, 0.8491, 0.2769, 0.7655 },</div>
+<div class="line"><a name="l00024"></a><span class="lineno"> 24</span>  { 0.9134, 0.4854, 0.9340, 0.0462, 0.7952 },</div>
+<div class="line"><a name="l00025"></a><span class="lineno"> 25</span>  { 0.6324, 0.8003, 0.6787, 0.0971, 0.1869 },</div>
+<div class="line"><a name="l00026"></a><span class="lineno"> 26</span>  { 0.0975, 0.1419, 0.7577, 0.8235, 0.4898 },</div>
+<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>  { 0.2785, 0.4218, 0.7431, 0.6948, 0.4456 },</div>
+<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>  { 0.5469, 0.9157, 0.3922, 0.3171, 0.6463 },</div>
+<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>  { 0.9575, 0.7922, 0.6555, 0.9502, 0.7094 },</div>
+<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>  { 0.9649, 0.9595, 0.1712, 0.0344, 0.7547 } };</div>
+<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  </div>
+<div class="line"><a name="l00032"></a><span class="lineno"> 32</span> <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> copy_A[10][5] = { { 0.8147, 0.1576, 0.6557, 0.7060, 0.4387 },</div>
+<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>  { 0.9058, 0.9706, 0.0357, 0.0318, 0.3816 },</div>
+<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  { 0.1270, 0.9572, 0.8491, 0.2769, 0.7655 },</div>
+<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  { 0.9134, 0.4854, 0.9340, 0.0462, 0.7952 },</div>
+<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  { 0.6324, 0.8003, 0.6787, 0.0971, 0.1869 },</div>
+<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  { 0.0975, 0.1419, 0.7577, 0.8235, 0.4898 },</div>
+<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  { 0.2785, 0.4218, 0.7431, 0.6948, 0.4456 },</div>
+<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>  { 0.5469, 0.9157, 0.3922, 0.3171, 0.6463 },</div>
+<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>  { 0.9575, 0.7922, 0.6555, 0.9502, 0.7094 },</div>
+<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  { 0.9649, 0.9595, 0.1712, 0.0344, 0.7547 } };</div>
+<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  </div>
+<div class="line"><a name="l00043"></a><span class="lineno"> 43</span> <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> B[5][10] = { { 0.2760, 0.4984, 0.7513, 0.9593, 0.8407, 0.3500, 0.3517, 0.2858, 0.0759, 0.1299 },</div>
+<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  { 0.6797, 0.9597, 0.2551, 0.5472, 0.2543, 0.1966, 0.8308, 0.7572, 0.0540, 0.5688 },</div>
+<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  { 0.6551, 0.3404, 0.5060, 0.1386, 0.8143, 0.2511, 0.5853, 0.7537, 0.5308, 0.4694 },</div>
+<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  { 0.1626, 0.5853, 0.6991, 0.1493, 0.2435, 0.6160, 0.5497, 0.3804, 0.7792, 0.0119 },</div>
+<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  { 0.1190, 0.2238, 0.8909, 0.2575, 0.9293, 0.4733, 0.9172, 0.5678, 0.9340, 0.3371 } };</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="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> b[10] = { 1.2902, 0.8819, 0.9721, 1.2347, 0.9185, 0.9844, 1.0627, 1.0280, 1.7283, 1.0618 };</div>
+<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  </div>
+<div class="line"><a name="l00051"></a><span class="lineno"> 51</span> <span class="keywordtype">void</span> ieee_mobile_comp_test_matrix_mul(<span class="keywordtype">void</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>  puts(<span class="stringliteral">"########### Measures of the times of matrices multiplications ###########"</span>);</div>
+<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> C[10][10];</div>
+<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  </div>
+<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  <span class="keywordflow">for</span> (uint8_t i = 0; i < ROW_MAX; i++) {</div>
+<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  <span class="comment">// Start timer</span></div>
+<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  <a class="code" href="matrix_8h.html#a3763252ca00e4c8522ae1bfd5ef40f0a">matrix_part_mul</a>(COL_MAX, A, ROW_MAX, B, 0, i, 0, COL_MAX - 1, 0, COL_MAX - 1, 0, ROW_MAX - 1, ROW_MAX, C);</div>
+<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  <span class="comment">// Stop timer</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>  printf(<span class="stringliteral">"C_%u = "</span>, i + 1);</div>
+<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  <a class="code" href="matrix_8h.html#a72297a60e572f85929989e813388a9c5">matrix_flex_part_print</a>(ROW_MAX, ROW_MAX, C, 0, i, 0, ROW_MAX - 1, 1, 4);</div>
+<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  puts(<span class="stringliteral">" "</span>);</div>
+<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  }</div>
+<div class="line"><a name="l00065"></a><span class="lineno"> 65</span> }</div>
+<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  </div>
+<div class="line"><a name="l00067"></a><span class="lineno"> 67</span> <span class="keywordtype">void</span> ieee_solve_lin_equ_sys(<span class="keywordtype">void</span>)</div>
+<div class="line"><a name="l00068"></a><span class="lineno"> 68</span> {</div>
+<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  </div>
+<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  puts(<span class="stringliteral">"Square sub-matrices:"</span>);</div>
+<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  </div>
+<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  <span class="keywordflow">for</span> (uint8_t i = 1; i < COL_MAX; i++) {</div>
+<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> sub_A[i + 1][i + 1];</div>
+<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  <a class="code" href="matrix_8h.html#a56513a88eff05b0683320c532fadf945">matrix_part_copy</a>(ROW_MAX, COL_MAX, copy_A, 0, i, 0, i, i + 1,</div>
+<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  i + 1, sub_A);</div>
+<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  printf(<span class="stringliteral">"(%u,%u) matrix: "</span>, i + 1, i + 1);</div>
+<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  <a class="code" href="matrix_8h.html#a82f374a9b8b215f0ef53d35401eae524">matrix_flex_print</a>(i + 1, i + 1, sub_A, 3, 4);</div>
+<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  <span class="keyword">enum</span> <a class="code" href="pseudo__inverse_8h.html#aeead1612e2f846fe32e4c50e1ab3d7c3">ALGORITHM</a> algo = <a class="code" href="pseudo__inverse_8h.html#aeead1612e2f846fe32e4c50e1ab3d7c3ae835310f82eb01d07137e72133cd5b06">Moore_Penrose</a>;</div>
+<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  puts(<span class="stringliteral">"Moore Penrose: "</span>);</div>
+<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> x[i + 1];</div>
+<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  </div>
+<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  <a class="code" href="vector_8h.html#a758d38ad9623aa8c385bce765a3b7d17">vector_clear</a>(i+1, x);</div>
+<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  <span class="comment">// Start Timer !!!</span></div>
+<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  int8_t error_no = <a class="code" href="solve_8h.html#a829e66492dc3073c0f7a190cda9b7db1">solve</a>(i + 1, i + 1, sub_A, b, x, algo);</div>
+<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  <span class="comment">// Stop Timer !!!</span></div>
+<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  </div>
+<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  <span class="keywordflow">if</span> (error_no > 0) {</div>
+<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  printf(<span class="stringliteral">"x = "</span>);</div>
+<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  <a class="code" href="vector_8h.html#ab2827264910e858f238868695a92db4b">vector_flex_print</a>(i + 1, x, 3, 4);</div>
+<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  }</div>
+<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  <a class="code" href="matrix_8h.html#a56513a88eff05b0683320c532fadf945">matrix_part_copy</a>(ROW_MAX, COL_MAX, copy_A, 0, i, 0, i, i + 1,</div>
+<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  i + 1, sub_A);</div>
+<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> A_mul_x[i+1];</div>
+<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  <a class="code" href="matrix_8h.html#ad610bcce232c69ca302550f57b1ad9fb">matrix_mul_vec</a>(i+1, i+1, sub_A, x, A_mul_x);</div>
+<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> resid = <a class="code" href="vector_8h.html#a1fcbe913017a3b6802d5f66c8ef699ac">vector_get_residual</a>(i+1, A_mul_x, b);</div>
+<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  printf(<span class="stringliteral">"residual = %e\n"</span>, resid);</div>
+<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  </div>
+<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  <a class="code" href="vector_8h.html#a758d38ad9623aa8c385bce765a3b7d17">vector_clear</a>(i+1, x);</div>
+<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  algo = <a class="code" href="pseudo__inverse_8h.html#aeead1612e2f846fe32e4c50e1ab3d7c3aab4d4fdd6aa659e7306fa9abf3d0a991">Givens</a>;</div>
+<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  puts(<span class="stringliteral">"Givens: "</span>);</div>
+<div class="line"><a name="l00103"></a><span class="lineno"> 103</span> <span class="comment">// matrix_part_copy(ROW_MAX, COL_MAX, copy_A, 0, i, 0, i, i + 1,</span></div>
+<div class="line"><a name="l00104"></a><span class="lineno"> 104</span> <span class="comment">// i + 1, sub_A);</span></div>
+<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  <span class="comment">// Start Timer !!!</span></div>
+<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  error_no = <a class="code" href="solve_8h.html#a829e66492dc3073c0f7a190cda9b7db1">solve</a>(i + 1, i + 1, sub_A, b, x, algo);</div>
+<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  <span class="comment">// Stop Timer !!!</span></div>
+<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  </div>
+<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  <span class="keywordflow">if</span> (error_no > 0) {</div>
+<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  printf(<span class="stringliteral">"x = "</span>);</div>
+<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  <a class="code" href="vector_8h.html#ab2827264910e858f238868695a92db4b">vector_flex_print</a>(i + 1, x, 3, 4);</div>
+<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  }</div>
+<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  </div>
+<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  <a class="code" href="matrix_8h.html#a56513a88eff05b0683320c532fadf945">matrix_part_copy</a>(ROW_MAX, COL_MAX, copy_A, 0, i, 0, i, i + 1,</div>
+<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  i + 1, sub_A);</div>
+<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  <a class="code" href="matrix_8h.html#ad610bcce232c69ca302550f57b1ad9fb">matrix_mul_vec</a>(i+1, i+1, sub_A, x, A_mul_x);</div>
+<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  resid = <a class="code" href="vector_8h.html#a1fcbe913017a3b6802d5f66c8ef699ac">vector_get_residual</a>(i+1, A_mul_x, b);</div>
+<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  printf(<span class="stringliteral">"residual = %e\n"</span>, resid);</div>
+<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  </div>
+<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  <a class="code" href="vector_8h.html#a758d38ad9623aa8c385bce765a3b7d17">vector_clear</a>(i+1, x);</div>
+<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  algo = <a class="code" href="pseudo__inverse_8h.html#aeead1612e2f846fe32e4c50e1ab3d7c3a9db08339065f28367b9ae058d1127a04">Householder</a>;</div>
+<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  puts(<span class="stringliteral">"Householder: "</span>);</div>
+<div class="line"><a name="l00124"></a><span class="lineno"> 124</span> <span class="comment">// matrix_part_copy(ROW_MAX, COL_MAX, copy_A, 0, i, 0, i, i + 1,</span></div>
+<div class="line"><a name="l00125"></a><span class="lineno"> 125</span> <span class="comment">// i + 1, sub_A);</span></div>
+<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  <span class="comment">// Start Timer !!!</span></div>
+<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  error_no = <a class="code" href="solve_8h.html#a829e66492dc3073c0f7a190cda9b7db1">solve</a>(i + 1, i + 1, sub_A, b, x, algo);</div>
+<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  <span class="comment">// Stop Timer !!!</span></div>
+<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  </div>
+<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  <span class="keywordflow">if</span> (error_no > 0) {</div>
+<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  printf(<span class="stringliteral">"x = "</span>);</div>
+<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  <a class="code" href="vector_8h.html#ab2827264910e858f238868695a92db4b">vector_flex_print</a>(i + 1, x, 3, 4);</div>
+<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  }</div>
+<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  </div>
+<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  <a class="code" href="matrix_8h.html#a56513a88eff05b0683320c532fadf945">matrix_part_copy</a>(ROW_MAX, COL_MAX, copy_A, 0, i, 0, i, i + 1,</div>
+<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  i + 1, sub_A);</div>
+<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  <a class="code" href="matrix_8h.html#ad610bcce232c69ca302550f57b1ad9fb">matrix_mul_vec</a>(i+1, i+1, sub_A, x, A_mul_x);</div>
+<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  resid = <a class="code" href="vector_8h.html#a1fcbe913017a3b6802d5f66c8ef699ac">vector_get_residual</a>(i+1, A_mul_x, b);</div>
+<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  printf(<span class="stringliteral">"residual = %e\n"</span>, resid);</div>
+<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  </div>
+<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  <a class="code" href="vector_8h.html#a758d38ad9623aa8c385bce765a3b7d17">vector_clear</a>(i+1, x);</div>
+<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  algo = <a class="code" href="pseudo__inverse_8h.html#aeead1612e2f846fe32e4c50e1ab3d7c3ab15a7891aa5223439e4692a1048cb220">Gauss</a>;</div>
+<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  puts(<span class="stringliteral">"Gauss"</span>);</div>
+<div class="line"><a name="l00145"></a><span class="lineno"> 145</span> <span class="comment">// matrix_part_copy(ROW_MAX, COL_MAX, copy_A, 0, i, 0, i, i + 1,</span></div>
+<div class="line"><a name="l00146"></a><span class="lineno"> 146</span> <span class="comment">// i + 1, sub_A);</span></div>
+<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>  <span class="comment">// Start Timer !!!</span></div>
+<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>  error_no = <a class="code" href="solve_8h.html#a829e66492dc3073c0f7a190cda9b7db1">solve</a>(i + 1, i + 1, sub_A, b, x, algo);</div>
+<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  <span class="comment">// Stop Timer !!!</span></div>
+<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>  </div>
+<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>  <span class="keywordflow">if</span> (error_no > 0) {</div>
+<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>  printf(<span class="stringliteral">"x = "</span>);</div>
+<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>  <a class="code" href="vector_8h.html#ab2827264910e858f238868695a92db4b">vector_flex_print</a>(i + 1, x, 3, 4);</div>
+<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  }</div>
+<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>  </div>
+<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  <a class="code" href="matrix_8h.html#a56513a88eff05b0683320c532fadf945">matrix_part_copy</a>(ROW_MAX, COL_MAX, copy_A, 0, i, 0, i, i + 1,</div>
+<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  i + 1, sub_A);</div>
+<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  <a class="code" href="matrix_8h.html#ad610bcce232c69ca302550f57b1ad9fb">matrix_mul_vec</a>(i+1, i+1, sub_A, x, A_mul_x);</div>
+<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  resid = <a class="code" href="vector_8h.html#a1fcbe913017a3b6802d5f66c8ef699ac">vector_get_residual</a>(i+1, A_mul_x, b);</div>
+<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>  printf(<span class="stringliteral">"residual = %e\n"</span>, resid);</div>
+<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  } <span class="comment">//for</span></div>
+<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>  </div>
+<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>  puts(<span class="stringliteral">"Rectangular sub-matrices:"</span>);</div>
+<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>  <span class="keywordflow">for</span> (uint8_t i = COL_MAX; i < ROW_MAX; i++) {</div>
+<div class="line"><a name="l00166"></a><span class="lineno"> 166</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> sub_A[i + 1][COL_MAX];</div>
+<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>  <a class="code" href="matrix_8h.html#a56513a88eff05b0683320c532fadf945">matrix_part_copy</a>(ROW_MAX, COL_MAX, copy_A, 0, i, 0, COL_MAX - 1,</div>
+<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>  i + 1, COL_MAX, sub_A);</div>
+<div class="line"><a name="l00169"></a><span class="lineno"> 169</span>  printf(<span class="stringliteral">"(%u,%u) matrix: "</span>, i + 1, COL_MAX);</div>
+<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>  <a class="code" href="matrix_8h.html#a82f374a9b8b215f0ef53d35401eae524">matrix_flex_print</a>(i + 1, COL_MAX, sub_A, 3, 4);</div>
+<div class="line"><a name="l00171"></a><span class="lineno"> 171</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>  </div>
+<div class="line"><a name="l00173"></a><span class="lineno"> 173</span>  <span class="keyword">enum</span> <a class="code" href="pseudo__inverse_8h.html#aeead1612e2f846fe32e4c50e1ab3d7c3">ALGORITHM</a> algo = <a class="code" href="pseudo__inverse_8h.html#aeead1612e2f846fe32e4c50e1ab3d7c3ae835310f82eb01d07137e72133cd5b06">Moore_Penrose</a>;</div>
+<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>  puts(<span class="stringliteral">"Moore Penrose: "</span>);</div>
+<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> x[COL_MAX];</div>
+<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>  </div>
+<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>  <a class="code" href="vector_8h.html#a758d38ad9623aa8c385bce765a3b7d17">vector_clear</a>(COL_MAX, x);</div>
+<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>  <span class="comment">// Start Timer !!!</span></div>
+<div class="line"><a name="l00179"></a><span class="lineno"> 179</span>  int8_t error_no = <a class="code" href="solve_8h.html#a829e66492dc3073c0f7a190cda9b7db1">solve</a>(i + 1, COL_MAX, sub_A, b, x, algo);</div>
+<div class="line"><a name="l00180"></a><span class="lineno"> 180</span>  <span class="comment">// Stop Timer !!!</span></div>
+<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>  <span class="keywordflow">if</span> (error_no > 0) {</div>
+<div class="line"><a name="l00182"></a><span class="lineno"> 182</span>  printf(<span class="stringliteral">"x = "</span>);</div>
+<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>  <a class="code" href="vector_8h.html#ab2827264910e858f238868695a92db4b">vector_flex_print</a>(COL_MAX, x, 3, 4);</div>
+<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>  }</div>
+<div class="line"><a name="l00186"></a><span class="lineno"> 186</span>  </div>
+<div class="line"><a name="l00187"></a><span class="lineno"> 187</span>  <a class="code" href="vector_8h.html#a758d38ad9623aa8c385bce765a3b7d17">vector_clear</a>(COL_MAX, x);</div>
+<div class="line"><a name="l00188"></a><span class="lineno"> 188</span>  algo = <a class="code" href="pseudo__inverse_8h.html#aeead1612e2f846fe32e4c50e1ab3d7c3aab4d4fdd6aa659e7306fa9abf3d0a991">Givens</a>;</div>
+<div class="line"><a name="l00189"></a><span class="lineno"> 189</span>  puts(<span class="stringliteral">"Givens: "</span>);</div>
+<div class="line"><a name="l00190"></a><span class="lineno"> 190</span>  <a class="code" href="matrix_8h.html#a56513a88eff05b0683320c532fadf945">matrix_part_copy</a>(ROW_MAX, COL_MAX, copy_A, 0, i, 0, COL_MAX - 1,</div>
+<div class="line"><a name="l00191"></a><span class="lineno"> 191</span>  i + 1, COL_MAX, sub_A);</div>
+<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>  <span class="comment">// Start Timer !!!</span></div>
+<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>  error_no = <a class="code" href="solve_8h.html#a829e66492dc3073c0f7a190cda9b7db1">solve</a>(i + 1, COL_MAX, sub_A, b, x, algo);</div>
+<div class="line"><a name="l00194"></a><span class="lineno"> 194</span>  <span class="comment">// Stop Timer !!!</span></div>
+<div class="line"><a name="l00195"></a><span class="lineno"> 195</span>  <span class="keywordflow">if</span> (error_no > 0) {</div>
+<div class="line"><a name="l00196"></a><span class="lineno"> 196</span>  printf(<span class="stringliteral">"x = "</span>);</div>
+<div class="line"><a name="l00197"></a><span class="lineno"> 197</span>  <a class="code" href="vector_8h.html#ab2827264910e858f238868695a92db4b">vector_flex_print</a>(COL_MAX, x, 3, 4);</div>
+<div class="line"><a name="l00198"></a><span class="lineno"> 198</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00199"></a><span class="lineno"> 199</span>  }</div>
+<div class="line"><a name="l00200"></a><span class="lineno"> 200</span>  </div>
+<div class="line"><a name="l00201"></a><span class="lineno"> 201</span>  <a class="code" href="vector_8h.html#a758d38ad9623aa8c385bce765a3b7d17">vector_clear</a>(COL_MAX, x);</div>
+<div class="line"><a name="l00202"></a><span class="lineno"> 202</span>  algo = <a class="code" href="pseudo__inverse_8h.html#aeead1612e2f846fe32e4c50e1ab3d7c3a9db08339065f28367b9ae058d1127a04">Householder</a>;</div>
+<div class="line"><a name="l00203"></a><span class="lineno"> 203</span>  puts(<span class="stringliteral">"Householder: "</span>);</div>
+<div class="line"><a name="l00204"></a><span class="lineno"> 204</span>  <a class="code" href="matrix_8h.html#a56513a88eff05b0683320c532fadf945">matrix_part_copy</a>(ROW_MAX, COL_MAX, copy_A, 0, i, 0, COL_MAX - 1,</div>
+<div class="line"><a name="l00205"></a><span class="lineno"> 205</span>  i + 1, COL_MAX, sub_A);</div>
+<div class="line"><a name="l00206"></a><span class="lineno"> 206</span>  <span class="comment">// Start Timer !!!</span></div>
+<div class="line"><a name="l00207"></a><span class="lineno"> 207</span>  error_no = <a class="code" href="solve_8h.html#a829e66492dc3073c0f7a190cda9b7db1">solve</a>(i + 1, COL_MAX, sub_A, b, x, algo);</div>
+<div class="line"><a name="l00208"></a><span class="lineno"> 208</span>  <span class="comment">// Stop Timer !!!</span></div>
+<div class="line"><a name="l00209"></a><span class="lineno"> 209</span>  <span class="keywordflow">if</span> (error_no > 0) {</div>
+<div class="line"><a name="l00210"></a><span class="lineno"> 210</span>  printf(<span class="stringliteral">"x = "</span>);</div>
+<div class="line"><a name="l00211"></a><span class="lineno"> 211</span>  <a class="code" href="vector_8h.html#ab2827264910e858f238868695a92db4b">vector_flex_print</a>(COL_MAX, x, 3, 4);</div>
+<div class="line"><a name="l00212"></a><span class="lineno"> 212</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00213"></a><span class="lineno"> 213</span>  }</div>
+<div class="line"><a name="l00214"></a><span class="lineno"> 214</span>  }<span class="comment">//for</span></div>
+<div class="line"><a name="l00215"></a><span class="lineno"> 215</span> }</div>
+<div class="line"><a name="l00216"></a><span class="lineno"> 216</span>  </div>
+<div class="line"><a name="l00217"></a><span class="lineno"> 217</span> <span class="keywordtype">void</span> ieee_mobile_comp_test_qr_givens(<span class="keywordtype">void</span>)</div>
+<div class="line"><a name="l00218"></a><span class="lineno"> 218</span> {</div>
+<div class="line"><a name="l00219"></a><span class="lineno"> 219</span>  <span class="keywordflow">for</span> (uint8_t i = 4; i < ROW_MAX; i++) {</div>
+<div class="line"><a name="l00220"></a><span class="lineno"> 220</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> Q[i + 1][i + 1];</div>
+<div class="line"><a name="l00221"></a><span class="lineno"> 221</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> red_Q[i + 1][COL_MAX];</div>
+<div class="line"><a name="l00222"></a><span class="lineno"> 222</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> red_R[COL_MAX][COL_MAX];</div>
+<div class="line"><a name="l00223"></a><span class="lineno"> 223</span>  <a class="code" href="matrix_8h.html#a56513a88eff05b0683320c532fadf945">matrix_part_copy</a>(ROW_MAX, COL_MAX, A, 0, i, 0, COL_MAX, ROW_MAX,</div>
+<div class="line"><a name="l00224"></a><span class="lineno"> 224</span>  COL_MAX, copy_A);</div>
+<div class="line"><a name="l00225"></a><span class="lineno"> 225</span>  <span class="comment">// printf("copy_A = ");</span></div>
+<div class="line"><a name="l00226"></a><span class="lineno"> 226</span>  <span class="comment">// matrix_flex_part_print(ROW_MAX, COL_MAX, copy_A, 0, i, 0, COL_MAX-1, 1, 4);</span></div>
+<div class="line"><a name="l00227"></a><span class="lineno"> 227</span>  <span class="comment">// puts("");</span></div>
+<div class="line"><a name="l00228"></a><span class="lineno"> 228</span>  <span class="comment">// Start Timer !!!</span></div>
+<div class="line"><a name="l00229"></a><span class="lineno"> 229</span>  <a class="code" href="qr__givens_8h.html#a07adca97c58afc057a5cff738f6473cc">qr_givens_decomp</a>(i + 1, COL_MAX, copy_A, COL_MAX, Q, <span class="keyword">false</span>);</div>
+<div class="line"><a name="l00230"></a><span class="lineno"> 230</span>  <span class="comment">// Stop Timer !!!</span></div>
+<div class="line"><a name="l00231"></a><span class="lineno"> 231</span>  printf(<span class="stringliteral">"Decomposition of A_%d_5\n"</span>, i + 1);</div>
+<div class="line"><a name="l00232"></a><span class="lineno"> 232</span>  <a class="code" href="qr__common_8h.html#a3144f99da14a69ec80bf9ded23714612">qr_common_get_reduced_QR</a>(i + 1, COL_MAX, Q, copy_A, red_Q,</div>
+<div class="line"><a name="l00233"></a><span class="lineno"> 233</span>  red_R);</div>
+<div class="line"><a name="l00234"></a><span class="lineno"> 234</span>  printf(<span class="stringliteral">"Q = "</span>);</div>
+<div class="line"><a name="l00235"></a><span class="lineno"> 235</span>  <a class="code" href="matrix_8h.html#a82f374a9b8b215f0ef53d35401eae524">matrix_flex_print</a>(i + 1, COL_MAX, red_Q, 1, 4);</div>
+<div class="line"><a name="l00236"></a><span class="lineno"> 236</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00237"></a><span class="lineno"> 237</span>  printf(<span class="stringliteral">"R = "</span>);</div>
+<div class="line"><a name="l00238"></a><span class="lineno"> 238</span>  <a class="code" href="matrix_8h.html#a72297a60e572f85929989e813388a9c5">matrix_flex_part_print</a>(i, COL_MAX, red_R, 0, COL_MAX - 1, 0,</div>
+<div class="line"><a name="l00239"></a><span class="lineno"> 239</span>  COL_MAX - 1, 1, 4);</div>
+<div class="line"><a name="l00240"></a><span class="lineno"> 240</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00241"></a><span class="lineno"> 241</span>  <a class="code" href="matrix_8h.html#ae8d8daa117e9f96a5e29fe6c76c4998c">matrix_copy</a>(ROW_MAX, COL_MAX, A, copy_A);</div>
+<div class="line"><a name="l00242"></a><span class="lineno"> 242</span>  }</div>
+<div class="line"><a name="l00243"></a><span class="lineno"> 243</span> }</div>
+<div class="line"><a name="l00244"></a><span class="lineno"> 244</span>  </div>
+<div class="line"><a name="l00245"></a><span class="lineno"> 245</span>  </div>
+<div class="line"><a name="l00246"></a><span class="lineno"> 246</span>  </div>
+<div class="line"><a name="l00247"></a><span class="lineno"> 247</span>  </div>
+<div class="line"><a name="l00248"></a><span class="lineno"> 248</span> <span class="keywordtype">void</span> ieee_mobile_comp_test_qr_householder(<span class="keywordtype">void</span>)</div>
+<div class="line"><a name="l00249"></a><span class="lineno"> 249</span> {</div>
+<div class="line"><a name="l00250"></a><span class="lineno"> 250</span>  <span class="keywordflow">for</span> (uint8_t i = 4; i < ROW_MAX; i++) {</div>
+<div class="line"><a name="l00251"></a><span class="lineno"> 251</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> Q[i + 1][i + 1];</div>
+<div class="line"><a name="l00252"></a><span class="lineno"> 252</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> red_Q[i + 1][COL_MAX];</div>
+<div class="line"><a name="l00253"></a><span class="lineno"> 253</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> red_R[COL_MAX][COL_MAX];</div>
+<div class="line"><a name="l00254"></a><span class="lineno"> 254</span>  <a class="code" href="matrix_8h.html#a56513a88eff05b0683320c532fadf945">matrix_part_copy</a>(ROW_MAX, COL_MAX, A, 0, i, 0, COL_MAX, ROW_MAX,</div>
+<div class="line"><a name="l00255"></a><span class="lineno"> 255</span>  COL_MAX, copy_A);</div>
+<div class="line"><a name="l00256"></a><span class="lineno"> 256</span>  <span class="comment">// printf("copy_A = ");</span></div>
+<div class="line"><a name="l00257"></a><span class="lineno"> 257</span>  <span class="comment">// matrix_flex_part_print(ROW_MAX, COL_MAX, copy_A, 0, i, 0, COL_MAX-1, 1, 4);</span></div>
+<div class="line"><a name="l00258"></a><span class="lineno"> 258</span>  <span class="comment">// puts("");</span></div>
+<div class="line"><a name="l00259"></a><span class="lineno"> 259</span>  <span class="comment">// Start Timer !!!</span></div>
+<div class="line"><a name="l00260"></a><span class="lineno"> 260</span>  <a class="code" href="qr__householder_8h.html#a926e8bce91b658f64837d5c93b0bc74f">qr_householder_decomp</a>(i + 1, COL_MAX, copy_A, COL_MAX, Q, <span class="keyword">false</span>);</div>
+<div class="line"><a name="l00261"></a><span class="lineno"> 261</span>  <span class="comment">// Stop Timer !!!</span></div>
+<div class="line"><a name="l00262"></a><span class="lineno"> 262</span>  printf(<span class="stringliteral">"Decomposition of A_%d_5\n"</span>, i + 1);</div>
+<div class="line"><a name="l00263"></a><span class="lineno"> 263</span>  <a class="code" href="qr__common_8h.html#a3144f99da14a69ec80bf9ded23714612">qr_common_get_reduced_QR</a>(i + 1, COL_MAX, Q, copy_A, red_Q,</div>
+<div class="line"><a name="l00264"></a><span class="lineno"> 264</span>  red_R);</div>
+<div class="line"><a name="l00265"></a><span class="lineno"> 265</span>  printf(<span class="stringliteral">"Q = "</span>);</div>
+<div class="line"><a name="l00266"></a><span class="lineno"> 266</span>  <a class="code" href="matrix_8h.html#a82f374a9b8b215f0ef53d35401eae524">matrix_flex_print</a>(i + 1, COL_MAX, red_Q, 1, 4);</div>
+<div class="line"><a name="l00267"></a><span class="lineno"> 267</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00268"></a><span class="lineno"> 268</span>  printf(<span class="stringliteral">"R = "</span>);</div>
+<div class="line"><a name="l00269"></a><span class="lineno"> 269</span>  <a class="code" href="matrix_8h.html#a72297a60e572f85929989e813388a9c5">matrix_flex_part_print</a>(i, COL_MAX, red_R, 0, COL_MAX - 1, 0,</div>
+<div class="line"><a name="l00270"></a><span class="lineno"> 270</span>  COL_MAX - 1, 1, 4);</div>
+<div class="line"><a name="l00271"></a><span class="lineno"> 271</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00272"></a><span class="lineno"> 272</span>  <a class="code" href="matrix_8h.html#ae8d8daa117e9f96a5e29fe6c76c4998c">matrix_copy</a>(ROW_MAX, COL_MAX, A, copy_A);</div>
+<div class="line"><a name="l00273"></a><span class="lineno"> 273</span>  }</div>
+<div class="line"><a name="l00274"></a><span class="lineno"> 274</span> }</div>
+<div class="line"><a name="l00275"></a><span class="lineno"> 275</span>  </div>
+<div class="line"><a name="l00276"></a><span class="lineno"> 276</span> <span class="keywordtype">void</span> ieee_mobile_comp_test_SVD(<span class="keywordtype">void</span>)</div>
+<div class="line"><a name="l00277"></a><span class="lineno"> 277</span> {</div>
+<div class="line"><a name="l00278"></a><span class="lineno"> 278</span>  <span class="comment">//uint8_t m = ROW_MAX;</span></div>
+<div class="line"><a name="l00279"></a><span class="lineno"> 279</span>  uint8_t n = COL_MAX;</div>
+<div class="line"><a name="l00280"></a><span class="lineno"> 280</span>  <a class="code" href="structmatrix__dim__t.html">matrix_dim_t</a> dim;</div>
+<div class="line"><a name="l00281"></a><span class="lineno"> 281</span>  </div>
+<div class="line"><a name="l00282"></a><span class="lineno"> 282</span>  <span class="comment">// svd_get_U_dim(m, n, &dim);</span></div>
+<div class="line"><a name="l00283"></a><span class="lineno"> 283</span>  <span class="comment">// matrix_t U2[dim.row_num][dim.col_num];</span></div>
+<div class="line"><a name="l00284"></a><span class="lineno"> 284</span>  <span class="comment">// matrix_t S2[n][n];</span></div>
+<div class="line"><a name="l00285"></a><span class="lineno"> 285</span>  <span class="comment">// matrix_t V2[n][n];</span></div>
+<div class="line"><a name="l00286"></a><span class="lineno"> 286</span>  <span class="comment">// uint8_t s2_length = svd_get_single_values_num(m, n);</span></div>
+<div class="line"><a name="l00287"></a><span class="lineno"> 287</span>  <span class="comment">// matrix_t s2[s2_length];</span></div>
+<div class="line"><a name="l00288"></a><span class="lineno"> 288</span>  <span class="comment">// svd(m, n, A, dim.row_num, dim.col_num, U2, S2, V2, s2_length, s2);</span></div>
+<div class="line"><a name="l00289"></a><span class="lineno"> 289</span>  <span class="comment">// printf("U2 = ");</span></div>
+<div class="line"><a name="l00290"></a><span class="lineno"> 290</span>  <span class="comment">// matrix_print(dim.row_num, dim.col_num, U2);</span></div>
+<div class="line"><a name="l00291"></a><span class="lineno"> 291</span>  <span class="comment">// puts("");</span></div>
+<div class="line"><a name="l00292"></a><span class="lineno"> 292</span>  <span class="comment">// printf("S2 = ");</span></div>
+<div class="line"><a name="l00293"></a><span class="lineno"> 293</span>  <span class="comment">// matrix_print(n, n, S2);</span></div>
+<div class="line"><a name="l00294"></a><span class="lineno"> 294</span>  <span class="comment">// puts("");</span></div>
+<div class="line"><a name="l00295"></a><span class="lineno"> 295</span>  <span class="comment">// printf("V2 = ");</span></div>
+<div class="line"><a name="l00296"></a><span class="lineno"> 296</span>  <span class="comment">// matrix_print(n, n, V2);</span></div>
+<div class="line"><a name="l00297"></a><span class="lineno"> 297</span>  <span class="comment">// puts("");</span></div>
+<div class="line"><a name="l00298"></a><span class="lineno"> 298</span>  </div>
+<div class="line"><a name="l00299"></a><span class="lineno"> 299</span>  <span class="keywordflow">for</span> (uint8_t i = 4; i < ROW_MAX; i++) {</div>
+<div class="line"><a name="l00300"></a><span class="lineno"> 300</span>  <a class="code" href="svd_8h.html#a8194826f85cc3105c4d8d4f342ca8df8">svd_get_U_dim</a>(i + 1, COL_MAX, &dim);</div>
+<div class="line"><a name="l00301"></a><span class="lineno"> 301</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> U[dim.<a class="code" href="structmatrix__dim__t.html#a853244a0562d43bfdcdcb704ed707721">row_num</a>][dim.<a class="code" href="structmatrix__dim__t.html#aac6b6ff205184047714d5c22019bdbab">col_num</a>];</div>
+<div class="line"><a name="l00302"></a><span class="lineno"> 302</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> S[COL_MAX][COL_MAX];</div>
+<div class="line"><a name="l00303"></a><span class="lineno"> 303</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> V[COL_MAX][COL_MAX];</div>
+<div class="line"><a name="l00304"></a><span class="lineno"> 304</span>  uint8_t s_length = <a class="code" href="svd_8h.html#a91b85e542b1fc44d3500ba52aecb8e0e">svd_get_single_values_num</a>(i, COL_MAX);</div>
+<div class="line"><a name="l00305"></a><span class="lineno"> 305</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> s[s_length];</div>
+<div class="line"><a name="l00306"></a><span class="lineno"> 306</span>  <a class="code" href="matrix_8h.html#a56513a88eff05b0683320c532fadf945">matrix_part_copy</a>(ROW_MAX, COL_MAX, A, 0, i, 0, COL_MAX, ROW_MAX,</div>
+<div class="line"><a name="l00307"></a><span class="lineno"> 307</span>  COL_MAX, copy_A);</div>
+<div class="line"><a name="l00308"></a><span class="lineno"> 308</span>  <span class="comment">// printf("copy_A = ");</span></div>
+<div class="line"><a name="l00309"></a><span class="lineno"> 309</span>  <span class="comment">// matrix_flex_part_print(ROW_MAX, COL_MAX, copy_A, 0, i, 0,</span></div>
+<div class="line"><a name="l00310"></a><span class="lineno"> 310</span>  <span class="comment">// COL_MAX - 1, 1, 4);</span></div>
+<div class="line"><a name="l00311"></a><span class="lineno"> 311</span>  <span class="comment">// puts("");</span></div>
+<div class="line"><a name="l00312"></a><span class="lineno"> 312</span>  <a class="code" href="svd_8h.html#acdccfce5b7732e6334ca5a521c57e63e">svd</a>(i + 1, COL_MAX, copy_A, dim.<a class="code" href="structmatrix__dim__t.html#a853244a0562d43bfdcdcb704ed707721">row_num</a>, dim.<a class="code" href="structmatrix__dim__t.html#aac6b6ff205184047714d5c22019bdbab">col_num</a>, U, S, V,</div>
+<div class="line"><a name="l00313"></a><span class="lineno"> 313</span>  s_length,</div>
+<div class="line"><a name="l00314"></a><span class="lineno"> 314</span>  s);</div>
+<div class="line"><a name="l00315"></a><span class="lineno"> 315</span>  printf(<span class="stringliteral">"U = "</span>);</div>
+<div class="line"><a name="l00316"></a><span class="lineno"> 316</span>  <a class="code" href="matrix_8h.html#a32ab12965ec43c2acf65cf9dd510353a">matrix_print</a>(dim.<a class="code" href="structmatrix__dim__t.html#a853244a0562d43bfdcdcb704ed707721">row_num</a>, dim.<a class="code" href="structmatrix__dim__t.html#aac6b6ff205184047714d5c22019bdbab">col_num</a>, U);</div>
+<div class="line"><a name="l00317"></a><span class="lineno"> 317</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00318"></a><span class="lineno"> 318</span>  printf(<span class="stringliteral">"S2 = "</span>);</div>
+<div class="line"><a name="l00319"></a><span class="lineno"> 319</span>  <a class="code" href="matrix_8h.html#a32ab12965ec43c2acf65cf9dd510353a">matrix_print</a>(n, n, S);</div>
+<div class="line"><a name="l00320"></a><span class="lineno"> 320</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00321"></a><span class="lineno"> 321</span>  printf(<span class="stringliteral">"V2 = "</span>);</div>
+<div class="line"><a name="l00322"></a><span class="lineno"> 322</span>  <a class="code" href="matrix_8h.html#a32ab12965ec43c2acf65cf9dd510353a">matrix_print</a>(n, n, V);</div>
+<div class="line"><a name="l00323"></a><span class="lineno"> 323</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00324"></a><span class="lineno"> 324</span>  </div>
+<div class="line"><a name="l00325"></a><span class="lineno"> 325</span>  }</div>
+<div class="line"><a name="l00326"></a><span class="lineno"> 326</span> }</div>
+<div class="line"><a name="l00327"></a><span class="lineno"> 327</span>  </div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="amatrix_8h_html_ad610bcce232c69ca302550f57b1ad9fb"><div class="ttname"><a href="matrix_8h.html#ad610bcce232c69ca302550f57b1ad9fb">matrix_mul_vec</a></div><div class="ttdeci">void matrix_mul_vec(uint8_t m, uint8_t n, matrix_t matrix[m][n], matrix_t vec[n], matrix_t dst_arr[m])</div><div class="ttdoc">Compute the multiplication of a matrix with a column vector.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00434">matrix.c:434</a></div></div>
+<div class="ttc" id="apseudo__inverse_8h_html_aeead1612e2f846fe32e4c50e1ab3d7c3aab4d4fdd6aa659e7306fa9abf3d0a991"><div class="ttname"><a href="pseudo__inverse_8h.html#aeead1612e2f846fe32e4c50e1ab3d7c3aab4d4fdd6aa659e7306fa9abf3d0a991">Givens</a></div><div class="ttdoc">Givens algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="pseudo__inverse_8h_source.html#l00033">pseudo_inverse.h:33</a></div></div>
+<div class="ttc" id="aqr__householder_8h_html_a926e8bce91b658f64837d5c93b0bc74f"><div class="ttname"><a href="qr__householder_8h.html#a926e8bce91b658f64837d5c93b0bc74f">qr_householder_decomp</a></div><div class="ttdeci">int8_t qr_householder_decomp(uint8_t m, uint8_t n, matrix_t A[][n], uint8_t q_col_num, matrix_t Q[][q_col_num], bool reduced)</div><div class="ttdoc">Computes the QR decomposition of the matrix A by using the Householder algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="qr__householder_8c_source.html#l00033">qr_householder.c:33</a></div></div>
+<div class="ttc" id="avector_8h_html_ab2827264910e858f238868695a92db4b"><div class="ttname"><a href="vector_8h.html#ab2827264910e858f238868695a92db4b">vector_flex_print</a></div><div class="ttdeci">void vector_flex_print(uint32_t length, vector_t arr[], uint8_t before_dot, uint8_t after_dot)</div><div class="ttdoc">Display the values of the vector's elements.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00284">vector.c:284</a></div></div>
+<div class="ttc" id="avector_8h_html_a1fcbe913017a3b6802d5f66c8ef699ac"><div class="ttname"><a href="vector_8h.html#a1fcbe913017a3b6802d5f66c8ef699ac">vector_get_residual</a></div><div class="ttdeci">vector_t vector_get_residual(uint8_t length, vector_t a_vec[], vector_t b_vec[])</div><div class="ttdoc">Compute the residual of two vectors.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00227">vector.c:227</a></div></div>
+<div class="ttc" id="aqr__householder_8h_html"><div class="ttname"><a href="qr__householder_8h.html">qr_householder.h</a></div><div class="ttdoc">Householder algorithm for the QR-decomposition.</div></div>
+<div class="ttc" id="astructmatrix__dim__t_html_a853244a0562d43bfdcdcb704ed707721"><div class="ttname"><a href="structmatrix__dim__t.html#a853244a0562d43bfdcdcb704ed707721">matrix_dim_t::row_num</a></div><div class="ttdeci">uint8_t row_num</div><div class="ttdoc">the row number</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8h_source.html#l00061">matrix.h:61</a></div></div>
+<div class="ttc" id="apseudo__inverse_8h_html_aeead1612e2f846fe32e4c50e1ab3d7c3ae835310f82eb01d07137e72133cd5b06"><div class="ttname"><a href="pseudo__inverse_8h.html#aeead1612e2f846fe32e4c50e1ab3d7c3ae835310f82eb01d07137e72133cd5b06">Moore_Penrose</a></div><div class="ttdoc">Moore–Penrose algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="pseudo__inverse_8h_source.html#l00031">pseudo_inverse.h:31</a></div></div>
+<div class="ttc" id="aqr__common_8h_html_a3144f99da14a69ec80bf9ded23714612"><div class="ttname"><a href="qr__common_8h.html#a3144f99da14a69ec80bf9ded23714612">qr_common_get_reduced_QR</a></div><div class="ttdeci">void qr_common_get_reduced_QR(uint8_t m, uint8_t n, matrix_t Q[m][m], matrix_t R[m][n], matrix_t red_Q[m][n], matrix_t red_R[n][n])</div><div class="ttdoc">Compute the reduced form of the QR-decomposition algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="qr__common_8c_source.html#l00059">qr_common.c:59</a></div></div>
+<div class="ttc" id="asvd_8h_html_acdccfce5b7732e6334ca5a521c57e63e"><div class="ttname"><a href="svd_8h.html#acdccfce5b7732e6334ca5a521c57e63e">svd</a></div><div class="ttdeci">void svd(uint8_t m, uint8_t n, matrix_t A[m][n], uint8_t u_m, uint8_t u_n, matrix_t U[u_m][u_n], matrix_t S[u_n][n], matrix_t V[n][n], uint8_t sing_vec_length, matrix_t singl_values_vec[])</div><div class="ttdoc">Compute the Singular-Value Decomposition (SVD) of a matrix.</div><div class="ttdef"><b>Definition:</b> <a href="svd_8c_source.html#l00119">svd.c:119</a></div></div>
+<div class="ttc" id="amatrix_8h_html_a3763252ca00e4c8522ae1bfd5ef40f0a"><div class="ttname"><a href="matrix_8h.html#a3763252ca00e4c8522ae1bfd5ef40f0a">matrix_part_mul</a></div><div class="ttdeci">void matrix_part_mul(uint8_t a_col_num_max, matrix_t a_matrix[][a_col_num_max], uint8_t b_col_num_max, matrix_t b_matrix[][b_col_num_max], uint8_t a_start_row_ind, uint8_t a_end_row_ind, uint8_t a_start_col_ind, uint8_t a_end_col_ind, uint8_t b_start_row_ind, uint8_t b_end_row_ind, uint8_t b_start_col_ind, uint8_t b_end_col_ind, uint8_t dest_col_size, matrix_t dest_matrix[][dest_col_size])</div><div class="ttdoc">Compute the partial multiplication of two matrices.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00391">matrix.c:391</a></div></div>
+<div class="ttc" id="avector_8h_html_acb41430bc5720dda7d1c45d91a0b0221"><div class="ttname"><a href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a></div><div class="ttdeci">#define vector_t</div><div class="ttdoc">Define the data type of the vector elements.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8h_source.html#l00033">vector.h:33</a></div></div>
+<div class="ttc" id="asolve_8h_html"><div class="ttname"><a href="solve_8h.html">solve.h</a></div><div class="ttdoc">Enables to solve systems of linear equations Ax = b for x.</div></div>
+<div class="ttc" id="amatrix_8h_html"><div class="ttname"><a href="matrix_8h.html">matrix.h</a></div><div class="ttdoc">Matrix computations.</div></div>
+<div class="ttc" id="amatrix_8h_html_a82f374a9b8b215f0ef53d35401eae524"><div class="ttname"><a href="matrix_8h.html#a82f374a9b8b215f0ef53d35401eae524">matrix_flex_print</a></div><div class="ttdeci">void matrix_flex_print(uint8_t m, uint8_t n, matrix_t matrix[m][n], uint8_t before_dec, uint8_t after_dec)</div><div class="ttdoc">Display the values of the matrix elements.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00220">matrix.c:220</a></div></div>
+<div class="ttc" id="apseudo__inverse_8h_html_aeead1612e2f846fe32e4c50e1ab3d7c3a9db08339065f28367b9ae058d1127a04"><div class="ttname"><a href="pseudo__inverse_8h.html#aeead1612e2f846fe32e4c50e1ab3d7c3a9db08339065f28367b9ae058d1127a04">Householder</a></div><div class="ttdoc">Householder algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="pseudo__inverse_8h_source.html#l00032">pseudo_inverse.h:32</a></div></div>
+<div class="ttc" id="astructmatrix__dim__t_html"><div class="ttname"><a href="structmatrix__dim__t.html">matrix_dim_t</a></div><div class="ttdoc">A structure to define the row and column number of a matrix.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8h_source.html#l00060">matrix.h:60</a></div></div>
+<div class="ttc" id="amatrix_8h_html_a72297a60e572f85929989e813388a9c5"><div class="ttname"><a href="matrix_8h.html#a72297a60e572f85929989e813388a9c5">matrix_flex_part_print</a></div><div class="ttdeci">void matrix_flex_part_print(uint8_t m, uint8_t n, matrix_t matrix[m][n], uint8_t start_row_ind, uint8_t end_row_ind, uint8_t start_col_ind, uint8_t end_col_ind, uint8_t before_dot, uint8_t after_dot)</div><div class="ttdoc">Display the values of the sub-matrix elements.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00247">matrix.c:247</a></div></div>
+<div class="ttc" id="avector_8h_html_a758d38ad9623aa8c385bce765a3b7d17"><div class="ttname"><a href="vector_8h.html#a758d38ad9623aa8c385bce765a3b7d17">vector_clear</a></div><div class="ttdeci">void vector_clear(uint8_t size, vector_t arr[])</div><div class="ttdoc">Clear all the elements of the vector.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00032">vector.c:32</a></div></div>
+<div class="ttc" id="apseudo__inverse_8h_html_aeead1612e2f846fe32e4c50e1ab3d7c3"><div class="ttname"><a href="pseudo__inverse_8h.html#aeead1612e2f846fe32e4c50e1ab3d7c3">ALGORITHM</a></div><div class="ttdeci">ALGORITHM</div><div class="ttdoc">Possible algorithms to compute the pseudo-inverse matrix.</div><div class="ttdef"><b>Definition:</b> <a href="pseudo__inverse_8h_source.html#l00030">pseudo_inverse.h:30</a></div></div>
+<div class="ttc" id="asolve_8h_html_a829e66492dc3073c0f7a190cda9b7db1"><div class="ttname"><a href="solve_8h.html#a829e66492dc3073c0f7a190cda9b7db1">solve</a></div><div class="ttdeci">int8_t solve(uint8_t m, uint8_t n, matrix_t A[][n], matrix_t b[m], matrix_t x_sol[n], enum ALGORITHM algo)</div><div class="ttdoc">Solve an (m n) linear system Ax = b by using the Moore–Penrose, Householder, or the Givens algorithm...</div><div class="ttdef"><b>Definition:</b> <a href="solve_8c_source.html#l00035">solve.c:35</a></div></div>
+<div class="ttc" id="aqr__common_8h_html"><div class="ttname"><a href="qr__common_8h.html">qr_common.h</a></div><div class="ttdoc">Common definitions and implementations for the QR-decomposition. Provide necessary methods to constru...</div></div>
+<div class="ttc" id="asvd_8h_html"><div class="ttname"><a href="svd_8h.html">svd.h</a></div><div class="ttdoc">Algorithm for the Singular Value Decomposition (SVD).</div></div>
+<div class="ttc" id="apseudo__inverse_8h_html_aeead1612e2f846fe32e4c50e1ab3d7c3ab15a7891aa5223439e4692a1048cb220"><div class="ttname"><a href="pseudo__inverse_8h.html#aeead1612e2f846fe32e4c50e1ab3d7c3ab15a7891aa5223439e4692a1048cb220">Gauss</a></div><div class="ttdoc">Gaussian elimination with pivoting algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="pseudo__inverse_8h_source.html#l00034">pseudo_inverse.h:34</a></div></div>
+<div class="ttc" id="asvd_8h_html_a91b85e542b1fc44d3500ba52aecb8e0e"><div class="ttname"><a href="svd_8h.html#a91b85e542b1fc44d3500ba52aecb8e0e">svd_get_single_values_num</a></div><div class="ttdeci">uint8_t svd_get_single_values_num(uint8_t m, uint8_t n)</div><div class="ttdoc">Calculate the number of the singular values.</div><div class="ttdef"><b>Definition:</b> <a href="svd_8c_source.html#l00114">svd.c:114</a></div></div>
+<div class="ttc" id="amatrix_8h_html_ae8d8daa117e9f96a5e29fe6c76c4998c"><div class="ttname"><a href="matrix_8h.html#ae8d8daa117e9f96a5e29fe6c76c4998c">matrix_copy</a></div><div class="ttdeci">void matrix_copy(uint8_t m, uint8_t n, matrix_t src_matrix[m][n], matrix_t dest_matrix[m][n])</div><div class="ttdoc">Copy the elements of a matrix to another matrix.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00083">matrix.c:83</a></div></div>
+<div class="ttc" id="aqr__givens_8h_html_a07adca97c58afc057a5cff738f6473cc"><div class="ttname"><a href="qr__givens_8h.html#a07adca97c58afc057a5cff738f6473cc">qr_givens_decomp</a></div><div class="ttdeci">int8_t qr_givens_decomp(uint8_t m, uint8_t n, matrix_t A[][n], uint8_t q_col_num, matrix_t Q[][q_col_num], bool reduced)</div><div class="ttdoc">Computes the QR decomposition of the matrix A by using the Givens algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="qr__givens_8c_source.html#l00033">qr_givens.c:33</a></div></div>
+<div class="ttc" id="amatrix_8h_html_af38ac6b76d645fea9abd6caeb4d9dd31"><div class="ttname"><a href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a></div><div class="ttdeci">#define matrix_t</div><div class="ttdoc">Define the data type of the matrix elements.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8h_source.html#l00038">matrix.h:38</a></div></div>
+<div class="ttc" id="avector_8h_html"><div class="ttname"><a href="vector_8h.html">vector.h</a></div><div class="ttdoc">Vector computations.</div></div>
+<div class="ttc" id="amatrix_8h_html_a32ab12965ec43c2acf65cf9dd510353a"><div class="ttname"><a href="matrix_8h.html#a32ab12965ec43c2acf65cf9dd510353a">matrix_print</a></div><div class="ttdeci">void matrix_print(uint8_t m, uint8_t n, matrix_t matrix[m][n])</div><div class="ttdoc">Display the values of the matrix elements.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00141">matrix.c:141</a></div></div>
+<div class="ttc" id="amatrix_8h_html_a56513a88eff05b0683320c532fadf945"><div class="ttname"><a href="matrix_8h.html#a56513a88eff05b0683320c532fadf945">matrix_part_copy</a></div><div class="ttdeci">void matrix_part_copy(uint8_t m, uint8_t n, matrix_t src_matrix[m][n], uint8_t start_row_ind, uint8_t end_row_ind, uint8_t start_col_ind, uint8_t end_col_ind, uint8_t dest_row_num, uint8_t dest_col_num, matrix_t dest_matrix[][dest_col_num])</div><div class="ttdoc">Copy a part of a matrix to another matrix or sub-matrix.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00089">matrix.c:89</a></div></div>
+<div class="ttc" id="aqr__givens_8h_html"><div class="ttname"><a href="qr__givens_8h.html">qr_givens.h</a></div><div class="ttdoc">Givens algorithm for the QR-decomposition. Provide necessary methods to construct Q- and R- matrices ...</div></div>
+<div class="ttc" id="asvd_8h_html_a8194826f85cc3105c4d8d4f342ca8df8"><div class="ttname"><a href="svd_8h.html#a8194826f85cc3105c4d8d4f342ca8df8">svd_get_U_dim</a></div><div class="ttdeci">void svd_get_U_dim(uint8_t m, uint8_t n, matrix_dim_t *u_dim)</div><div class="ttdoc">Calculate the dimension of the matrix U.</div><div class="ttdef"><b>Definition:</b> <a href="svd_8c_source.html#l00096">svd.c:96</a></div></div>
+<div class="ttc" id="astructmatrix__dim__t_html_aac6b6ff205184047714d5c22019bdbab"><div class="ttname"><a href="structmatrix__dim__t.html#aac6b6ff205184047714d5c22019bdbab">matrix_dim_t::col_num</a></div><div class="ttdeci">uint8_t col_num</div><div class="ttdoc">the column number</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8h_source.html#l00062">matrix.h:62</a></div></div>
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+ <li class="navelem"><a class="el" href="dir_d28a4824dc47e487b107a5db32ef43c4.html">examples</a></li><li class="navelem"><b>ieee_mobile_computing_lin_alg.c</b></li>
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+<div class="title">ieee_mobile_computing_lin_alg.h</div> </div>
+</div><!--header-->
+<div class="contents">
+<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * ieee_mobile_computing.h</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> * Created on: 26.09.2019</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * Author: zakaria</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span>  </div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="preprocessor">#ifndef IEEE_MOBILE_COMPUTING_LIN_ALG_H_</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span> <span class="preprocessor">#define IEEE_MOBILE_COMPUTING_LIN_ALG_H_</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno"> 10</span>  </div>
+<div class="line"><a name="l00011"></a><span class="lineno"> 11</span> <span class="keywordtype">void</span> ieee_mobile_comp_test_matrix_mul(<span class="keywordtype">void</span>);</div>
+<div class="line"><a name="l00012"></a><span class="lineno"> 12</span> <span class="keywordtype">void</span> ieee_mobile_comp_test_qr_givens(<span class="keywordtype">void</span>);</div>
+<div class="line"><a name="l00013"></a><span class="lineno"> 13</span> <span class="keywordtype">void</span> ieee_mobile_comp_test_qr_householder(<span class="keywordtype">void</span>);</div>
+<div class="line"><a name="l00014"></a><span class="lineno"> 14</span> <span class="keywordtype">void</span> ieee_mobile_comp_test_SVD(<span class="keywordtype">void</span>);</div>
+<div class="line"><a name="l00015"></a><span class="lineno"> 15</span> <span class="keywordtype">void</span> ieee_solve_lin_equ_sys(<span class="keywordtype">void</span>);</div>
+<div class="line"><a name="l00016"></a><span class="lineno"> 16</span>  </div>
+<div class="line"><a name="l00017"></a><span class="lineno"> 17</span> <span class="preprocessor">#endif </span><span class="comment">/* IEEE_MOBILE_COMPUTING_LIN_ALG_H_ */</span><span class="preprocessor"></span></div>
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+<a href="#func-members">Functions</a> </div>
+ <div class="headertitle">
+<div class="title">ieee_mobile_computing_non_lin_alg.c File Reference</div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Examples of optimization algorithms.
+<a href="#details">More...</a></p>
+<div class="textblock"><code>#include <stdio.h></code><br />
+<code>#include <math.h></code><br />
+<code>#include "<a class="el" href="matrix_8h_source.html">matrix.h</a>"</code><br />
+<code>#include "<a class="el" href="vector_8h_source.html">vector.h</a>"</code><br />
+<code>#include "<a class="el" href="modified__gauss__newton_8h_source.html">modified_gauss_newton.h</a>"</code><br />
+<code>#include "<a class="el" href="levenberg__marquardt_8h_source.html">levenberg_marquardt.h</a>"</code><br />
+</div>
+<p><a href="ieee__mobile__computing__non__lin__alg_8c_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a1903dbf211715600f9830349fb69aaf7"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="ieee__mobile__computing__non__lin__alg_8c.html#a1903dbf211715600f9830349fb69aaf7">ieee_mobile_comp_get_exp_f</a> (<a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_vec[], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> data_vec[], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> f_vec[])</td></tr>
+<tr class="memdesc:a1903dbf211715600f9830349fb69aaf7"><td class="mdescLeft"> </td><td class="mdescRight">Calculate the error vector using exponential data. <a href="ieee__mobile__computing__non__lin__alg_8c.html#a1903dbf211715600f9830349fb69aaf7">More...</a><br /></td></tr>
+<tr class="separator:a1903dbf211715600f9830349fb69aaf7"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:acd3427ef350de38a6e8a2446d7c9ff48"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="ieee__mobile__computing__non__lin__alg_8c.html#acd3427ef350de38a6e8a2446d7c9ff48">ieee_mobile_comp_get_exp_Jacobian</a> (<a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_vec[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J[][2])</td></tr>
+<tr class="memdesc:acd3427ef350de38a6e8a2446d7c9ff48"><td class="mdescLeft"> </td><td class="mdescRight">Calculate the Jacobian matrix using exponential data. <a href="ieee__mobile__computing__non__lin__alg_8c.html#acd3427ef350de38a6e8a2446d7c9ff48">More...</a><br /></td></tr>
+<tr class="separator:acd3427ef350de38a6e8a2446d7c9ff48"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:ac9fa8d6b7e20b065ebecd1339bc0f66b"><td class="memItemLeft" align="right" valign="top"><a id="ac9fa8d6b7e20b065ebecd1339bc0f66b"></a>
+void </td><td class="memItemRight" valign="bottom"><b>ieee_mobile_comp_exponential_data_test</b> (void)</td></tr>
+<tr class="separator:ac9fa8d6b7e20b065ebecd1339bc0f66b"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a65a525d446eb62da17cd1b6b7242f3bd"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="ieee__mobile__computing__non__lin__alg_8c.html#a65a525d446eb62da17cd1b6b7242f3bd">ieee_mobile_comp_get_sin_f</a> (<a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_vec[], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> data_vec[], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> f_vec[])</td></tr>
+<tr class="memdesc:a65a525d446eb62da17cd1b6b7242f3bd"><td class="mdescLeft"> </td><td class="mdescRight">Calculate the error vector using sinusoidal data. <a href="ieee__mobile__computing__non__lin__alg_8c.html#a65a525d446eb62da17cd1b6b7242f3bd">More...</a><br /></td></tr>
+<tr class="separator:a65a525d446eb62da17cd1b6b7242f3bd"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:ad46e7112151698bf6ec5d1df6c1b3785"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="ieee__mobile__computing__non__lin__alg_8c.html#ad46e7112151698bf6ec5d1df6c1b3785">ieee_mobile_comp_get_sin_Jacobian</a> (<a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_vec[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J[][4])</td></tr>
+<tr class="memdesc:ad46e7112151698bf6ec5d1df6c1b3785"><td class="mdescLeft"> </td><td class="mdescRight">Calculate the Jacobian matrix using sinusoidal data. <a href="ieee__mobile__computing__non__lin__alg_8c.html#ad46e7112151698bf6ec5d1df6c1b3785">More...</a><br /></td></tr>
+<tr class="separator:ad46e7112151698bf6ec5d1df6c1b3785"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a441918d542f57adcbf82b36643218e99"><td class="memItemLeft" align="right" valign="top"><a id="a441918d542f57adcbf82b36643218e99"></a>
+void </td><td class="memItemRight" valign="bottom"><b>ieee_mobile_comp_sinusoidal_data_test</b> (void)</td></tr>
+<tr class="separator:a441918d542f57adcbf82b36643218e99"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Examples of optimization algorithms. </p>
+<p>Optimization algorithms examples (see the <a class="el" href="modified__gauss__newton_8h.html">modified GN</a> and LVM optimization methods).</p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="ieee__mobile__computing__non__lin__alg_8c_source.html">ieee_mobile_computing_non_lin_alg.c</a>.</p>
+</div><h2 class="groupheader">Function Documentation</h2>
+<a id="a1903dbf211715600f9830349fb69aaf7"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a1903dbf211715600f9830349fb69aaf7">◆ </a></span>ieee_mobile_comp_get_exp_f()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void ieee_mobile_comp_get_exp_f </td>
+ <td>(</td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>x_vec</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>data_vec</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>f_vec</em>[] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Calculate the error vector using exponential data. </p>
+<p>The error function is: <img class="formulaInl" alt="$ \vec{f}(x_1, x_2) = \begin{bmatrix} x_1 \mathrm{e}^{x_2} - y_1, ~\hdots, x_1\mathrm{e}^{8x_2}-y_8 \end{bmatrix}^{T}, $" src="form_0.png"/></p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">x_vec[]</td><td>start vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">data_vec[]</td><td>data vector. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">f_vec[]</td><td>calculated error vector. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="ieee__mobile__computing__non__lin__alg_8c_source.html#l00046">46</a> of file <a class="el" href="ieee__mobile__computing__non__lin__alg_8c_source.html">ieee_mobile_computing_non_lin_alg.c</a>.</p>
+
+<p class="reference">References <a class="el" href="vector_8h_source.html#l00033">vector_t</a>.</p>
+
+</div>
+</div>
+<a id="acd3427ef350de38a6e8a2446d7c9ff48"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#acd3427ef350de38a6e8a2446d7c9ff48">◆ </a></span>ieee_mobile_comp_get_exp_Jacobian()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void ieee_mobile_comp_get_exp_Jacobian </td>
+ <td>(</td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>x_vec</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>J</em>[][2] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Calculate the Jacobian matrix using exponential data. </p>
+<p>The Jacobian matrix is: <img class="formulaInl" alt="$ {J_f} = \begin{bmatrix} \frac{\partial f_1}{\partial x1} & \frac{\partial f_1}{\partial x_2} \\ \frac{\partial f_2}{\partial x1} & \frac{\partial f_2}{\partial x_2} \\ \vdots & \vdots & \\ \frac{\partial f_n}{\partial x1} & \frac{\partial f_n}{\partial x_2} \\ \end{bmatrix} = \begin{bmatrix} \mathrm{e}^{x_2} & \mathrm{e}^{x_2} x_1\\ \mathrm{e}^{2 x_2} & 2\mathrm{e}^{2x_2} x_1 \\ \vdots & \vdots & \\ \mathrm{e}^{8 x_2} & 8\mathrm{e}^{8x_2} x_1 \\ \end{bmatrix}. $" src="form_1.png"/></p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">x_vec[]</td><td>start vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">J[]</td><td>Jacobian matrix. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="ieee__mobile__computing__non__lin__alg_8c_source.html#l00082">82</a> of file <a class="el" href="ieee__mobile__computing__non__lin__alg_8c_source.html">ieee_mobile_computing_non_lin_alg.c</a>.</p>
+
+<p class="reference">References <a class="el" href="vector_8h_source.html#l00033">vector_t</a>.</p>
+
+</div>
+</div>
+<a id="a65a525d446eb62da17cd1b6b7242f3bd"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a65a525d446eb62da17cd1b6b7242f3bd">◆ </a></span>ieee_mobile_comp_get_sin_f()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void ieee_mobile_comp_get_sin_f </td>
+ <td>(</td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>x_vec</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>data_vec</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>f_vec</em>[] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Calculate the error vector using sinusoidal data. </p>
+<p>The error function is: <img class="formulaInl" alt="$ \vec{f}(x_1, x_2, x_3, x_4)= \begin{bmatrix} x_1 \sin\left( x_2 +x_3\right) +x_4 - y_1 \\ \vdots \\ x_1 \sin\left( 12 x_2 +x_3\right) +x_4 - y_{12} \end{bmatrix}. $" src="form_2.png"/></p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">x_vec[]</td><td>start vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">data_vec[]</td><td>data vector. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">f_vec[]</td><td>calculated error vector. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="ieee__mobile__computing__non__lin__alg_8c_source.html#l00164">164</a> of file <a class="el" href="ieee__mobile__computing__non__lin__alg_8c_source.html">ieee_mobile_computing_non_lin_alg.c</a>.</p>
+
+<p class="reference">References <a class="el" href="vector_8h_source.html#l00033">vector_t</a>.</p>
+
+</div>
+</div>
+<a id="ad46e7112151698bf6ec5d1df6c1b3785"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#ad46e7112151698bf6ec5d1df6c1b3785">◆ </a></span>ieee_mobile_comp_get_sin_Jacobian()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void ieee_mobile_comp_get_sin_Jacobian </td>
+ <td>(</td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>x_vec</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>J</em>[][4] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Calculate the Jacobian matrix using sinusoidal data. </p>
+<p>The Jacobian matrix is <img class="formulaInl" alt="$ J_f = \left[\begin{matrix} \sin\left( x_2 +x_3\right) & x_1 \cos\left( x_2 +x_3\right) & x_1\cos\left( x_2 +x_3\right) \\ \sin\left( 2 x_2 +x_3\right) & 2 x_1 \cos\left( 2 x_2 +x_3\right) & x_1 \cos\left( 2 x_2 +x_3\right)\\ \vdots & \vdots \\ \sin\left( 12 x_2 +x_3\right) & 12 x_1 \cos\left( 12 x_2 +x_3\right) & x_1 \cos\left( 12 x_2 +x_3\right) \end{matrix}\right]. $" src="form_3.png"/></p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">x_vec[]</td><td>start vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">J[]</td><td>Jacobian matrix. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="ieee__mobile__computing__non__lin__alg_8c_source.html#l00199">199</a> of file <a class="el" href="ieee__mobile__computing__non__lin__alg_8c_source.html">ieee_mobile_computing_non_lin_alg.c</a>.</p>
+
+<p class="reference">References <a class="el" href="vector_8h_source.html#l00033">vector_t</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="navelem"><a class="el" href="dir_d28a4824dc47e487b107a5db32ef43c4.html">examples</a></li><li class="navelem"><a class="el" href="ieee__mobile__computing__non__lin__alg_8c.html">ieee_mobile_computing_non_lin_alg.c</a></li>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
+ </ul>
+</div>
+</body>
+</html>
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@@ -0,0 +1,9 @@
+var ieee__mobile__computing__non__lin__alg_8c =
+[
+ [ "ieee_mobile_comp_exponential_data_test", "ieee__mobile__computing__non__lin__alg_8c.html#ac9fa8d6b7e20b065ebecd1339bc0f66b", null ],
+ [ "ieee_mobile_comp_get_exp_f", "ieee__mobile__computing__non__lin__alg_8c.html#a1903dbf211715600f9830349fb69aaf7", null ],
+ [ "ieee_mobile_comp_get_exp_Jacobian", "ieee__mobile__computing__non__lin__alg_8c.html#acd3427ef350de38a6e8a2446d7c9ff48", null ],
+ [ "ieee_mobile_comp_get_sin_f", "ieee__mobile__computing__non__lin__alg_8c.html#a65a525d446eb62da17cd1b6b7242f3bd", null ],
+ [ "ieee_mobile_comp_get_sin_Jacobian", "ieee__mobile__computing__non__lin__alg_8c.html#ad46e7112151698bf6ec5d1df6c1b3785", null ],
+ [ "ieee_mobile_comp_sinusoidal_data_test", "ieee__mobile__computing__non__lin__alg_8c.html#a441918d542f57adcbf82b36643218e99", null ]
+];
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new file mode 100644
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+<div class="title">ieee_mobile_computing_non_lin_alg.c</div> </div>
+</div><!--header-->
+<div class="contents">
+<a href="ieee__mobile__computing__non__lin__alg_8c.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2019 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span>  </div>
+<div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="preprocessor">#include <stdio.h></span></div>
+<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="preprocessor">#include <math.h></span></div>
+<div class="line"><a name="l00025"></a><span class="lineno"> 25</span>  </div>
+<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="preprocessor">#include "<a class="code" href="matrix_8h.html">matrix.h</a>"</span></div>
+<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="preprocessor">#include "<a class="code" href="vector_8h.html">vector.h</a>"</span></div>
+<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="preprocessor">#include "<a class="code" href="modified__gauss__newton_8h.html">modified_gauss_newton.h</a>"</span></div>
+<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="preprocessor">#include "<a class="code" href="levenberg__marquardt_8h.html">levenberg_marquardt.h</a>"</span></div>
+<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>  </div>
+<div class="line"><a name="l00046"></a><span class="lineno"><a class="line" href="ieee__mobile__computing__non__lin__alg_8c.html#a1903dbf211715600f9830349fb69aaf7"> 46</a></span> <span class="keywordtype">void</span> <a class="code" href="ieee__mobile__computing__non__lin__alg_8c.html#a1903dbf211715600f9830349fb69aaf7">ieee_mobile_comp_get_exp_f</a>(<a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_vec[], <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> data_vec[],</div>
+<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> f_vec[])</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="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x1, x2;</div>
+<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  uint8_t i;</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>  x1 = x_vec[0];</div>
+<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  x2 = x_vec[1];</div>
+<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  <span class="keywordflow">for</span> (i = 1; i < 9; i++) {</div>
+<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  f_vec[i - 1] = x1 * exp(i * x2) - data_vec[i - 1];</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> }</div>
+<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  </div>
+<div class="line"><a name="l00082"></a><span class="lineno"><a class="line" href="ieee__mobile__computing__non__lin__alg_8c.html#acd3427ef350de38a6e8a2446d7c9ff48"> 82</a></span> <span class="keywordtype">void</span> <a class="code" href="ieee__mobile__computing__non__lin__alg_8c.html#acd3427ef350de38a6e8a2446d7c9ff48">ieee_mobile_comp_get_exp_Jacobian</a>(<a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_vec[], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J[][2])</div>
+<div class="line"><a name="l00083"></a><span class="lineno"> 83</span> {</div>
+<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x1, x2;</div>
+<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  uint8_t i;</div>
+<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  </div>
+<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  x1 = x_vec[0];</div>
+<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  x2 = x_vec[1];</div>
+<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  <span class="keywordflow">for</span> (i = 1; i < 9; i++) {</div>
+<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  J[i - 1][0] = exp(i * x2);</div>
+<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  J[i - 1][1] = i * x1 * exp(i * x2);</div>
+<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  }</div>
+<div class="line"><a name="l00093"></a><span class="lineno"> 93</span> }</div>
+<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  </div>
+<div class="line"><a name="l00095"></a><span class="lineno"> 95</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00096"></a><span class="lineno"> 96</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00097"></a><span class="lineno"> 97</span> <span class="comment"> * SOLVING NONLINEAR LEAST-SQUARES PROBLEMS</span></div>
+<div class="line"><a name="l00098"></a><span class="lineno"> 98</span> <span class="comment"> * WITH THE GAUSS-NEWTON AND LEVENBERG-MARQUARDT METHODS</span></div>
+<div class="line"><a name="l00099"></a><span class="lineno"> 99</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00100"></a><span class="lineno"> 100</span> <span class="comment"> * ALFONSO CROEZE, LINDSEY PITTMAN, AND WINNIE REYNOLDS</span></div>
+<div class="line"><a name="l00101"></a><span class="lineno"> 101</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00102"></a><span class="lineno"> 102</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00103"></a><span class="lineno"> 103</span> <span class="keywordtype">void</span> ieee_mobile_comp_exponential_data_test(<span class="keywordtype">void</span>)</div>
+<div class="line"><a name="l00104"></a><span class="lineno"> 104</span> {</div>
+<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> d_vec[] = { 8.3, 11.0, 14.7, 19.7, 26.7, 35.2, 44.4, 55.9 };</div>
+<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> start_x_vec[] = { 6, .3 };</div>
+<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> f_vec[8];</div>
+<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J[8][2];</div>
+<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  </div>
+<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  <span class="comment">// Parameters of GNM & LVM</span></div>
+<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> beta0 = 0.2;</div>
+<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> beta1 = 0.8;</div>
+<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> eps = 1e-3;</div>
+<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> tau = 1e-6;</div>
+<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> f_min = 1e-11;</div>
+<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  uint8_t max_it_num = 3;</div>
+<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  uint8_t iter_num = 0;</div>
+<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> est_x_vec[2];</div>
+<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  </div>
+<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  <a class="code" href="ieee__mobile__computing__non__lin__alg_8c.html#a1903dbf211715600f9830349fb69aaf7">ieee_mobile_comp_get_exp_f</a>(start_x_vec, d_vec, f_vec);</div>
+<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  <a class="code" href="ieee__mobile__computing__non__lin__alg_8c.html#acd3427ef350de38a6e8a2446d7c9ff48">ieee_mobile_comp_get_exp_Jacobian</a>(start_x_vec, J);</div>
+<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  </div>
+<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  puts(<span class="stringliteral">"############### Test Gauss-Newton & LVM algorithms ###############"</span>);</div>
+<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  puts(<span class="stringliteral">"\nExponential Data:"</span>);</div>
+<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  <span class="comment">// Start timer</span></div>
+<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  iter_num = <a class="code" href="modified__gauss__newton_8h.html#a7376799043ad2c27fac02371624051bc">modified_gauss_newton</a>(8, 2, start_x_vec, d_vec, eps, f_min,</div>
+<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  max_it_num, est_x_vec, &<a class="code" href="ieee__mobile__computing__non__lin__alg_8c.html#a1903dbf211715600f9830349fb69aaf7">ieee_mobile_comp_get_exp_f</a>,</div>
+<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  &<a class="code" href="ieee__mobile__computing__non__lin__alg_8c.html#acd3427ef350de38a6e8a2446d7c9ff48">ieee_mobile_comp_get_exp_Jacobian</a>);</div>
+<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  <span class="comment">// Stop timer</span></div>
+<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  printf(<span class="stringliteral">"start value = {%.6f, %.6f}\n"</span>, start_x_vec[0], start_x_vec[1]);</div>
+<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  printf(<span class="stringliteral">"Gauss-Newton = {%.6f, %.6f}\n"</span>, est_x_vec[0], est_x_vec[1]);</div>
+<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  printf(<span class="stringliteral">"iteration number = %d\n"</span>, iter_num);</div>
+<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  </div>
+<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  iter_num = 0;</div>
+<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  <a class="code" href="vector_8h.html#a758d38ad9623aa8c385bce765a3b7d17">vector_clear</a>(2, est_x_vec);</div>
+<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  <span class="comment">// Start timer</span></div>
+<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  iter_num = <a class="code" href="levenberg__marquardt_8h.html#a2a72b2b6be15a9998b61a9c0097e3d5f">opt_levenberg_marquardt</a>(8, 2, start_x_vec, d_vec, eps, tau,</div>
+<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  beta0, beta1, max_it_num, est_x_vec,</div>
+<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  &<a class="code" href="ieee__mobile__computing__non__lin__alg_8c.html#a1903dbf211715600f9830349fb69aaf7">ieee_mobile_comp_get_exp_f</a>,</div>
+<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  &<a class="code" href="ieee__mobile__computing__non__lin__alg_8c.html#acd3427ef350de38a6e8a2446d7c9ff48">ieee_mobile_comp_get_exp_Jacobian</a>);</div>
+<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  <span class="comment">// Stop timer</span></div>
+<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  printf(<span class="stringliteral">"Levenberg-Marquardt = {%.6f, %.6f}\n"</span>, est_x_vec[0], est_x_vec[1]);</div>
+<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  printf(<span class="stringliteral">"iteration number = %d\n"</span>, iter_num);</div>
+<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  </div>
+<div class="line"><a name="l00145"></a><span class="lineno"> 145</span> }</div>
+<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  </div>
+<div class="line"><a name="l00164"></a><span class="lineno"><a class="line" href="ieee__mobile__computing__non__lin__alg_8c.html#a65a525d446eb62da17cd1b6b7242f3bd"> 164</a></span> <span class="keywordtype">void</span> <a class="code" href="ieee__mobile__computing__non__lin__alg_8c.html#a65a525d446eb62da17cd1b6b7242f3bd">ieee_mobile_comp_get_sin_f</a>(<a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_vec[], <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> data_vec[],</div>
+<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> f_vec[])</div>
+<div class="line"><a name="l00166"></a><span class="lineno"> 166</span> {</div>
+<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x1, x2, x3, x4;</div>
+<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>  uint8_t i;</div>
+<div class="line"><a name="l00169"></a><span class="lineno"> 169</span>  </div>
+<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>  x1 = x_vec[0];</div>
+<div class="line"><a name="l00171"></a><span class="lineno"> 171</span>  x2 = x_vec[1];</div>
+<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>  x3 = x_vec[2];</div>
+<div class="line"><a name="l00173"></a><span class="lineno"> 173</span>  x4 = x_vec[3];</div>
+<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>  <span class="keywordflow">for</span> (i = 1; i < 13; i++) {</div>
+<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>  f_vec[i - 1] = x1 * sin(x2 * i + x3) + x4 - data_vec[i - 1];</div>
+<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>  }</div>
+<div class="line"><a name="l00177"></a><span class="lineno"> 177</span> }</div>
+<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>  </div>
+<div class="line"><a name="l00199"></a><span class="lineno"><a class="line" href="ieee__mobile__computing__non__lin__alg_8c.html#ad46e7112151698bf6ec5d1df6c1b3785"> 199</a></span> <span class="keywordtype">void</span> <a class="code" href="ieee__mobile__computing__non__lin__alg_8c.html#ad46e7112151698bf6ec5d1df6c1b3785">ieee_mobile_comp_get_sin_Jacobian</a>(<a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_vec[], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J[][4])</div>
+<div class="line"><a name="l00200"></a><span class="lineno"> 200</span> {</div>
+<div class="line"><a name="l00201"></a><span class="lineno"> 201</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x1, x2, x3;</div>
+<div class="line"><a name="l00202"></a><span class="lineno"> 202</span>  uint8_t i;</div>
+<div class="line"><a name="l00203"></a><span class="lineno"> 203</span>  </div>
+<div class="line"><a name="l00204"></a><span class="lineno"> 204</span>  x1 = x_vec[0];</div>
+<div class="line"><a name="l00205"></a><span class="lineno"> 205</span>  x2 = x_vec[1];</div>
+<div class="line"><a name="l00206"></a><span class="lineno"> 206</span>  x3 = x_vec[2];</div>
+<div class="line"><a name="l00207"></a><span class="lineno"> 207</span>  <span class="keywordflow">for</span> (i = 1; i < 13; i++) {</div>
+<div class="line"><a name="l00208"></a><span class="lineno"> 208</span>  J[i - 1][0] = sin(i * x2 + x3);</div>
+<div class="line"><a name="l00209"></a><span class="lineno"> 209</span>  J[i - 1][1] = i * x1 * cos(i * x2 + x3);</div>
+<div class="line"><a name="l00210"></a><span class="lineno"> 210</span>  J[i - 1][2] = x1 * cos(i * x2 + x3);</div>
+<div class="line"><a name="l00211"></a><span class="lineno"> 211</span>  J[i - 1][3] = 1;</div>
+<div class="line"><a name="l00212"></a><span class="lineno"> 212</span>  }</div>
+<div class="line"><a name="l00213"></a><span class="lineno"> 213</span> }</div>
+<div class="line"><a name="l00214"></a><span class="lineno"> 214</span>  </div>
+<div class="line"><a name="l00215"></a><span class="lineno"> 215</span> <span class="keywordtype">void</span> ieee_mobile_comp_sinusoidal_data_test(<span class="keywordtype">void</span>)</div>
+<div class="line"><a name="l00216"></a><span class="lineno"> 216</span> {</div>
+<div class="line"><a name="l00217"></a><span class="lineno"> 217</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> d_vec[] = { 61, 65, 72, 78, 85, 90, 92, 92, 88, 81, 72, 63 };</div>
+<div class="line"><a name="l00218"></a><span class="lineno"> 218</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> start_x_vec[] = { 17, 0.5, 10.5, 77 };</div>
+<div class="line"><a name="l00219"></a><span class="lineno"> 219</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> f_vec[12];</div>
+<div class="line"><a name="l00220"></a><span class="lineno"> 220</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J[12][4];</div>
+<div class="line"><a name="l00221"></a><span class="lineno"> 221</span>  </div>
+<div class="line"><a name="l00222"></a><span class="lineno"> 222</span>  <span class="comment">// Parameters of GNM & LVM</span></div>
+<div class="line"><a name="l00223"></a><span class="lineno"> 223</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> beta0 = 0.2;</div>
+<div class="line"><a name="l00224"></a><span class="lineno"> 224</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> beta1 = 0.8;</div>
+<div class="line"><a name="l00225"></a><span class="lineno"> 225</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> eps = 1e-3;</div>
+<div class="line"><a name="l00226"></a><span class="lineno"> 226</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> tau = 1e-6;</div>
+<div class="line"><a name="l00227"></a><span class="lineno"> 227</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> f_min = 1e-11;</div>
+<div class="line"><a name="l00228"></a><span class="lineno"> 228</span>  uint8_t max_it_num = 2;</div>
+<div class="line"><a name="l00229"></a><span class="lineno"> 229</span>  uint8_t iter_num = 0;</div>
+<div class="line"><a name="l00230"></a><span class="lineno"> 230</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> est_x_vec[4];</div>
+<div class="line"><a name="l00231"></a><span class="lineno"> 231</span>  </div>
+<div class="line"><a name="l00232"></a><span class="lineno"> 232</span>  <a class="code" href="ieee__mobile__computing__non__lin__alg_8c.html#a65a525d446eb62da17cd1b6b7242f3bd">ieee_mobile_comp_get_sin_f</a>(start_x_vec, d_vec, f_vec);</div>
+<div class="line"><a name="l00233"></a><span class="lineno"> 233</span>  <a class="code" href="ieee__mobile__computing__non__lin__alg_8c.html#ad46e7112151698bf6ec5d1df6c1b3785">ieee_mobile_comp_get_sin_Jacobian</a>(start_x_vec, J);</div>
+<div class="line"><a name="l00234"></a><span class="lineno"> 234</span>  </div>
+<div class="line"><a name="l00235"></a><span class="lineno"> 235</span> <span class="comment">// puts("############### Test Gauss-Newton & LVM algorithms ###############");</span></div>
+<div class="line"><a name="l00236"></a><span class="lineno"> 236</span>  puts(<span class="stringliteral">"\nSinusoidal Data:"</span>);</div>
+<div class="line"><a name="l00237"></a><span class="lineno"> 237</span>  <span class="comment">// Start timer</span></div>
+<div class="line"><a name="l00238"></a><span class="lineno"> 238</span>  iter_num = <a class="code" href="modified__gauss__newton_8h.html#a7376799043ad2c27fac02371624051bc">modified_gauss_newton</a>(12, 4, start_x_vec, d_vec, eps, f_min,</div>
+<div class="line"><a name="l00239"></a><span class="lineno"> 239</span>  max_it_num, est_x_vec, &<a class="code" href="ieee__mobile__computing__non__lin__alg_8c.html#a65a525d446eb62da17cd1b6b7242f3bd">ieee_mobile_comp_get_sin_f</a>,</div>
+<div class="line"><a name="l00240"></a><span class="lineno"> 240</span>  &<a class="code" href="ieee__mobile__computing__non__lin__alg_8c.html#ad46e7112151698bf6ec5d1df6c1b3785">ieee_mobile_comp_get_sin_Jacobian</a>);</div>
+<div class="line"><a name="l00241"></a><span class="lineno"> 241</span>  <span class="comment">// Stop timer</span></div>
+<div class="line"><a name="l00242"></a><span class="lineno"> 242</span>  printf(<span class="stringliteral">"start value = {%.6f, %.6f, %.6f, %.6f}\n"</span>, start_x_vec[0],</div>
+<div class="line"><a name="l00243"></a><span class="lineno"> 243</span>  start_x_vec[1], start_x_vec[2], start_x_vec[3]);</div>
+<div class="line"><a name="l00244"></a><span class="lineno"> 244</span>  printf(<span class="stringliteral">"Gauss-Newton = {%.6f, %.6f, %.6f, %.6f}\n"</span>, est_x_vec[0],</div>
+<div class="line"><a name="l00245"></a><span class="lineno"> 245</span>  est_x_vec[1], est_x_vec[2], est_x_vec[3]);</div>
+<div class="line"><a name="l00246"></a><span class="lineno"> 246</span>  printf(<span class="stringliteral">"iteration number = %d\n"</span>, iter_num);</div>
+<div class="line"><a name="l00247"></a><span class="lineno"> 247</span>  </div>
+<div class="line"><a name="l00248"></a><span class="lineno"> 248</span>  iter_num = 0;</div>
+<div class="line"><a name="l00249"></a><span class="lineno"> 249</span>  <a class="code" href="vector_8h.html#a758d38ad9623aa8c385bce765a3b7d17">vector_clear</a>(4, est_x_vec);</div>
+<div class="line"><a name="l00250"></a><span class="lineno"> 250</span>  <span class="comment">// Start timer</span></div>
+<div class="line"><a name="l00251"></a><span class="lineno"> 251</span> iter_num = <a class="code" href="levenberg__marquardt_8h.html#a2a72b2b6be15a9998b61a9c0097e3d5f">opt_levenberg_marquardt</a>(12, 4, start_x_vec, d_vec, eps, tau,</div>
+<div class="line"><a name="l00252"></a><span class="lineno"> 252</span>  beta0, beta1, max_it_num, est_x_vec, &<a class="code" href="ieee__mobile__computing__non__lin__alg_8c.html#a65a525d446eb62da17cd1b6b7242f3bd">ieee_mobile_comp_get_sin_f</a>,</div>
+<div class="line"><a name="l00253"></a><span class="lineno"> 253</span>  &<a class="code" href="ieee__mobile__computing__non__lin__alg_8c.html#ad46e7112151698bf6ec5d1df6c1b3785">ieee_mobile_comp_get_sin_Jacobian</a>);</div>
+<div class="line"><a name="l00254"></a><span class="lineno"> 254</span>  </div>
+<div class="line"><a name="l00255"></a><span class="lineno"> 255</span>  <span class="comment">// Stop timer</span></div>
+<div class="line"><a name="l00256"></a><span class="lineno"> 256</span>  printf(<span class="stringliteral">"Levenberg-Marquardt = {%.6f, %.6f, %.6f, %.6f}\n"</span>, est_x_vec[0],</div>
+<div class="line"><a name="l00257"></a><span class="lineno"> 257</span>  est_x_vec[1], est_x_vec[2], est_x_vec[3]);</div>
+<div class="line"><a name="l00258"></a><span class="lineno"> 258</span>  printf(<span class="stringliteral">"iteration number = %d\n"</span>, iter_num);</div>
+<div class="line"><a name="l00259"></a><span class="lineno"> 259</span>  </div>
+<div class="line"><a name="l00260"></a><span class="lineno"> 260</span> }</div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="amodified__gauss__newton_8h_html_a7376799043ad2c27fac02371624051bc"><div class="ttname"><a href="modified__gauss__newton_8h.html#a7376799043ad2c27fac02371624051bc">modified_gauss_newton</a></div><div class="ttdeci">uint8_t modified_gauss_newton(uint8_t f_length, uint8_t n, vector_t x0_vec[n], vector_t data_vec[f_length], matrix_t eps, matrix_t fmin, uint8_t max_iter_num, vector_t est_x_vec[n], void(*get_f_error)(vector_t x0_vec[], vector_t data_vec[], vector_t f_vec[]), void(*get_jacobian)(vector_t x0_vec[], matrix_t J[][n]))</div><div class="ttdoc">Implements the modified Gauss–Newton algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="modified__gauss__newton_8c_source.html#l00032">modified_gauss_newton.c:32</a></div></div>
+<div class="ttc" id="avector_8h_html_acb41430bc5720dda7d1c45d91a0b0221"><div class="ttname"><a href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a></div><div class="ttdeci">#define vector_t</div><div class="ttdoc">Define the data type of the vector elements.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8h_source.html#l00033">vector.h:33</a></div></div>
+<div class="ttc" id="aieee__mobile__computing__non__lin__alg_8c_html_acd3427ef350de38a6e8a2446d7c9ff48"><div class="ttname"><a href="ieee__mobile__computing__non__lin__alg_8c.html#acd3427ef350de38a6e8a2446d7c9ff48">ieee_mobile_comp_get_exp_Jacobian</a></div><div class="ttdeci">void ieee_mobile_comp_get_exp_Jacobian(vector_t x_vec[], matrix_t J[][2])</div><div class="ttdoc">Calculate the Jacobian matrix using exponential data.</div><div class="ttdef"><b>Definition:</b> <a href="ieee__mobile__computing__non__lin__alg_8c_source.html#l00082">ieee_mobile_computing_non_lin_alg.c:82</a></div></div>
+<div class="ttc" id="amatrix_8h_html"><div class="ttname"><a href="matrix_8h.html">matrix.h</a></div><div class="ttdoc">Matrix computations.</div></div>
+<div class="ttc" id="aieee__mobile__computing__non__lin__alg_8c_html_ad46e7112151698bf6ec5d1df6c1b3785"><div class="ttname"><a href="ieee__mobile__computing__non__lin__alg_8c.html#ad46e7112151698bf6ec5d1df6c1b3785">ieee_mobile_comp_get_sin_Jacobian</a></div><div class="ttdeci">void ieee_mobile_comp_get_sin_Jacobian(vector_t x_vec[], matrix_t J[][4])</div><div class="ttdoc">Calculate the Jacobian matrix using sinusoidal data.</div><div class="ttdef"><b>Definition:</b> <a href="ieee__mobile__computing__non__lin__alg_8c_source.html#l00199">ieee_mobile_computing_non_lin_alg.c:199</a></div></div>
+<div class="ttc" id="alevenberg__marquardt_8h_html"><div class="ttname"><a href="levenberg__marquardt_8h.html">levenberg_marquardt.h</a></div><div class="ttdoc">Implement the Levenberg–Marquardt (LVM) algorithm.</div></div>
+<div class="ttc" id="avector_8h_html_a758d38ad9623aa8c385bce765a3b7d17"><div class="ttname"><a href="vector_8h.html#a758d38ad9623aa8c385bce765a3b7d17">vector_clear</a></div><div class="ttdeci">void vector_clear(uint8_t size, vector_t arr[])</div><div class="ttdoc">Clear all the elements of the vector.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00032">vector.c:32</a></div></div>
+<div class="ttc" id="alevenberg__marquardt_8h_html_a2a72b2b6be15a9998b61a9c0097e3d5f"><div class="ttname"><a href="levenberg__marquardt_8h.html#a2a72b2b6be15a9998b61a9c0097e3d5f">opt_levenberg_marquardt</a></div><div class="ttdeci">uint8_t opt_levenberg_marquardt(uint8_t f_length, uint8_t n, vector_t x0_vec[n], vector_t data_vec[f_length], matrix_t eps, matrix_t tau, matrix_t beta0, matrix_t beta1, uint8_t max_iter_num, vector_t est_x_vec[n], void(*get_f_error)(vector_t x0_vec[], vector_t data_vec[], vector_t f_vec[]), void(*get_jacobian)(vector_t x0_vec[], matrix_t J[][n]))</div><div class="ttdoc">Implements the Levenberg–Marquardt (LVM) algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="levenberg__marquardt_8c_source.html#l00143">levenberg_marquardt.c:143</a></div></div>
+<div class="ttc" id="amatrix_8h_html_af38ac6b76d645fea9abd6caeb4d9dd31"><div class="ttname"><a href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a></div><div class="ttdeci">#define matrix_t</div><div class="ttdoc">Define the data type of the matrix elements.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8h_source.html#l00038">matrix.h:38</a></div></div>
+<div class="ttc" id="aieee__mobile__computing__non__lin__alg_8c_html_a1903dbf211715600f9830349fb69aaf7"><div class="ttname"><a href="ieee__mobile__computing__non__lin__alg_8c.html#a1903dbf211715600f9830349fb69aaf7">ieee_mobile_comp_get_exp_f</a></div><div class="ttdeci">void ieee_mobile_comp_get_exp_f(vector_t x_vec[], vector_t data_vec[], vector_t f_vec[])</div><div class="ttdoc">Calculate the error vector using exponential data.</div><div class="ttdef"><b>Definition:</b> <a href="ieee__mobile__computing__non__lin__alg_8c_source.html#l00046">ieee_mobile_computing_non_lin_alg.c:46</a></div></div>
+<div class="ttc" id="aieee__mobile__computing__non__lin__alg_8c_html_a65a525d446eb62da17cd1b6b7242f3bd"><div class="ttname"><a href="ieee__mobile__computing__non__lin__alg_8c.html#a65a525d446eb62da17cd1b6b7242f3bd">ieee_mobile_comp_get_sin_f</a></div><div class="ttdeci">void ieee_mobile_comp_get_sin_f(vector_t x_vec[], vector_t data_vec[], vector_t f_vec[])</div><div class="ttdoc">Calculate the error vector using sinusoidal data.</div><div class="ttdef"><b>Definition:</b> <a href="ieee__mobile__computing__non__lin__alg_8c_source.html#l00164">ieee_mobile_computing_non_lin_alg.c:164</a></div></div>
+<div class="ttc" id="amodified__gauss__newton_8h_html"><div class="ttname"><a href="modified__gauss__newton_8h.html">modified_gauss_newton.h</a></div><div class="ttdoc">Implement the Gauss–Newton algorithm.</div></div>
+<div class="ttc" id="avector_8h_html"><div class="ttname"><a href="vector_8h.html">vector.h</a></div><div class="ttdoc">Vector computations.</div></div>
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+<div class="title">ieee_mobile_computing_non_lin_alg.h</div> </div>
+</div><!--header-->
+<div class="contents">
+<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * ieee_mobile_computing_non_lin_alg.h</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> * Created on: 15.01.2020</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * Author: zakaria</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span>  </div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="preprocessor">#ifndef IEEE_MOBILE_COMPUTING_NON_LIN_ALG_H_</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span> <span class="preprocessor">#define IEEE_MOBILE_COMPUTING_NON_LIN_ALG_H_</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno"> 10</span>  </div>
+<div class="line"><a name="l00011"></a><span class="lineno"> 11</span> <span class="preprocessor">#include "<a class="code" href="vector_8h.html">vector.h</a>"</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno"> 12</span> <span class="preprocessor">#include "<a class="code" href="matrix_8h.html">matrix.h</a>"</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno"> 13</span>  </div>
+<div class="line"><a name="l00014"></a><span class="lineno"> 14</span> <span class="keywordtype">void</span> <a class="code" href="ieee__mobile__computing__non__lin__alg_8c.html#a1903dbf211715600f9830349fb69aaf7">ieee_mobile_comp_get_exp_f</a>(<a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_vec[], <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> data_vec[], <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> f_vec[]);</div>
+<div class="line"><a name="l00015"></a><span class="lineno"> 15</span> <span class="keywordtype">void</span> <a class="code" href="ieee__mobile__computing__non__lin__alg_8c.html#acd3427ef350de38a6e8a2446d7c9ff48">ieee_mobile_comp_get_exp_Jacobian</a>(<a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_vec[], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J[][2]);</div>
+<div class="line"><a name="l00016"></a><span class="lineno"> 16</span> <span class="keywordtype">void</span> ieee_mobile_comp_exponential_data_test(<span class="keywordtype">void</span>);</div>
+<div class="line"><a name="l00017"></a><span class="lineno"> 17</span> <span class="keywordtype">void</span> <a class="code" href="ieee__mobile__computing__non__lin__alg_8c.html#a65a525d446eb62da17cd1b6b7242f3bd">ieee_mobile_comp_get_sin_f</a>(<a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_vec[], <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> data_vec[], <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> f_vec[]);</div>
+<div class="line"><a name="l00018"></a><span class="lineno"> 18</span> <span class="keywordtype">void</span> <a class="code" href="ieee__mobile__computing__non__lin__alg_8c.html#ad46e7112151698bf6ec5d1df6c1b3785">ieee_mobile_comp_get_sin_Jacobian</a>(<a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_vec[], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J[][4]);</div>
+<div class="line"><a name="l00019"></a><span class="lineno"> 19</span> <span class="keywordtype">void</span> ieee_mobile_comp_sinusoidal_data_test(<span class="keywordtype">void</span>);</div>
+<div class="line"><a name="l00020"></a><span class="lineno"> 20</span>  </div>
+<div class="line"><a name="l00021"></a><span class="lineno"> 21</span> <span class="preprocessor">#endif </span><span class="comment">/* IEEE_MOBILE_COMPUTING_NON_LIN_ALG_H_ */</span><span class="preprocessor"></span></div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="avector_8h_html_acb41430bc5720dda7d1c45d91a0b0221"><div class="ttname"><a href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a></div><div class="ttdeci">#define vector_t</div><div class="ttdoc">Define the data type of the vector elements.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8h_source.html#l00033">vector.h:33</a></div></div>
+<div class="ttc" id="aieee__mobile__computing__non__lin__alg_8c_html_acd3427ef350de38a6e8a2446d7c9ff48"><div class="ttname"><a href="ieee__mobile__computing__non__lin__alg_8c.html#acd3427ef350de38a6e8a2446d7c9ff48">ieee_mobile_comp_get_exp_Jacobian</a></div><div class="ttdeci">void ieee_mobile_comp_get_exp_Jacobian(vector_t x_vec[], matrix_t J[][2])</div><div class="ttdoc">Calculate the Jacobian matrix using exponential data.</div><div class="ttdef"><b>Definition:</b> <a href="ieee__mobile__computing__non__lin__alg_8c_source.html#l00082">ieee_mobile_computing_non_lin_alg.c:82</a></div></div>
+<div class="ttc" id="amatrix_8h_html"><div class="ttname"><a href="matrix_8h.html">matrix.h</a></div><div class="ttdoc">Matrix computations.</div></div>
+<div class="ttc" id="aieee__mobile__computing__non__lin__alg_8c_html_ad46e7112151698bf6ec5d1df6c1b3785"><div class="ttname"><a href="ieee__mobile__computing__non__lin__alg_8c.html#ad46e7112151698bf6ec5d1df6c1b3785">ieee_mobile_comp_get_sin_Jacobian</a></div><div class="ttdeci">void ieee_mobile_comp_get_sin_Jacobian(vector_t x_vec[], matrix_t J[][4])</div><div class="ttdoc">Calculate the Jacobian matrix using sinusoidal data.</div><div class="ttdef"><b>Definition:</b> <a href="ieee__mobile__computing__non__lin__alg_8c_source.html#l00199">ieee_mobile_computing_non_lin_alg.c:199</a></div></div>
+<div class="ttc" id="amatrix_8h_html_af38ac6b76d645fea9abd6caeb4d9dd31"><div class="ttname"><a href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a></div><div class="ttdeci">#define matrix_t</div><div class="ttdoc">Define the data type of the matrix elements.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8h_source.html#l00038">matrix.h:38</a></div></div>
+<div class="ttc" id="aieee__mobile__computing__non__lin__alg_8c_html_a1903dbf211715600f9830349fb69aaf7"><div class="ttname"><a href="ieee__mobile__computing__non__lin__alg_8c.html#a1903dbf211715600f9830349fb69aaf7">ieee_mobile_comp_get_exp_f</a></div><div class="ttdeci">void ieee_mobile_comp_get_exp_f(vector_t x_vec[], vector_t data_vec[], vector_t f_vec[])</div><div class="ttdoc">Calculate the error vector using exponential data.</div><div class="ttdef"><b>Definition:</b> <a href="ieee__mobile__computing__non__lin__alg_8c_source.html#l00046">ieee_mobile_computing_non_lin_alg.c:46</a></div></div>
+<div class="ttc" id="aieee__mobile__computing__non__lin__alg_8c_html_a65a525d446eb62da17cd1b6b7242f3bd"><div class="ttname"><a href="ieee__mobile__computing__non__lin__alg_8c.html#a65a525d446eb62da17cd1b6b7242f3bd">ieee_mobile_comp_get_sin_f</a></div><div class="ttdeci">void ieee_mobile_comp_get_sin_f(vector_t x_vec[], vector_t data_vec[], vector_t f_vec[])</div><div class="ttdoc">Calculate the error vector using sinusoidal data.</div><div class="ttdef"><b>Definition:</b> <a href="ieee__mobile__computing__non__lin__alg_8c_source.html#l00164">ieee_mobile_computing_non_lin_alg.c:164</a></div></div>
+<div class="ttc" id="avector_8h_html"><div class="ttname"><a href="vector_8h.html">vector.h</a></div><div class="ttdoc">Vector computations.</div></div>
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+ name="MSearchResults" id="MSearchResults">
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+</div>
+
+<div class="PageDoc"><div class="header">
+ <div class="headertitle">
+<div class="title">RcdMathLib Documentation </div> </div>
+</div><!--header-->
+<div class="contents">
+<div class="toc"><h3>Table of Contents</h3>
+<ul><li class="level1"><a href="#RcdMathLib-in-a-nutshell">RcdMathLib in a nutshell</a></li>
+<li class="level1"><a href="#download-use-RcdMathLib">Download and use RcdMathLib</a></li>
+<li class="level1"><a href="#the-quickest-start">The quickest start</a></li>
+<li class="level1"><a href="#structure">Structure</a><ul><li class="level2"><a href="#autotoc_md1">Linear Algebra</a></li>
+<li class="level2"><a href="#autotoc_md2">Non-Linear Algebra</a></li>
+<li class="level2"><a href="#autotoc_md3">Localization</a></li>
+<li class="level2"><a href="#autotoc_md4">examples</a></li>
+<li class="level2"><a href="#autotoc_md5">doc</a></li>
+</ul>
+</li>
+<li class="level1"><a href="#further-information">Further information</a></li>
+</ul>
+</div>
+<div class="textblock"><dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi</dd></dl>
+<h1><a class="anchor" id="RcdMathLib-in-a-nutshell"></a>
+RcdMathLib in a nutshell</h1>
+<p>RcdMathLib is an open-source library for numerical linear and non-linear algebra designed to match the requirements of resource-limited or embedded devices. RcdMathLib supports solving linear and non-linear equation systems. Furthermore, it provides general-purpose implemented methods that facilitate solving problems of regression smoothing and curve fitting. It also allows for calculating as well as optimizing a position on a mobile device.</p>
+<h1><a class="anchor" id="download-use-RcdMathLib"></a>
+Download and use RcdMathLib</h1>
+<p>The simplest way to use the RcdMathLib for resource-limited devices is to download the Elipse project (TODO). The following Eclipse project enables also the RcdMathLib for full-fledged platforms (TODO).</p>
+<h1><a class="anchor" id="the-quickest-start"></a>
+The quickest start</h1>
+<p>You can run RcdMathLib on most resource-limited such as the STM32 Discovery board as well as on a PC. Try it right now in your terminal window:</p>
+<div class="fragment"><div class="line">git clone git://github.com/RIOT-OS/RIOT.git # assumption: git is pre-installed </div>
+<div class="line">cd RcdMathLib/examples/linear_algebra/basic_operation/</div>
+<div class="line">make all</div>
+</div><!-- fragment --><p>The example above shows how to use the basic operations of the RcdMathLib such as the vector or the matrix operations.</p>
+<h1><a class="anchor" id="structure"></a>
+Structure</h1>
+<p>This section walks you through RcdMathLib's structure to easily find your way around in RcdMathLib's code base.</p>
+<div class="image">
+<img src="soft_architecture_01_09_2019.svg" alt=""/>
+<div class="caption">
+Software Architecture</div></div>
+ <p>RcdMathLib's source code is composed into three groups:</p>
+<ul>
+<li>Linear algebra</li>
+<li>Non-linear algebra</li>
+<li>Localization</li>
+</ul>
+<p>In addition RcdMathLib includes various examples to familiarize the user with the software as well as an API to facilitate the use and the further development of the library.</p>
+<p>The structural groups are projected onto the directory structure of RcdMathLib, where each of these groups resides in one or two directories in the main RcdMathLib directory.</p>
+<p>The following list gives a more detailed description of each of RcdMathLib's top-level directories:</p>
+<h2><a class="anchor" id="autotoc_md1"></a>
+Linear Algebra</h2>
+<p>This directory contains functions that are specific to vector and matrix operations, and other algebraic operations. It provides functions to perform basic matrix operations such as matrix addition, multiplication, or transposition. It also provides algorithms for complex operations like matrix decomposition algorithms, algorithms to calculate the pseudo-inverse of a matrix, or methods to solve systems of linear equations. The linear algebra module is divided in the following sub-modules:</p><ul>
+<li>Basic operations sub-module.</li>
+<li>Matrix decompositions sub-module.</li>
+<li>Pseudo-Inverse sub-module.</li>
+<li>Solve linear equations sub-module.</li>
+<li>Utilities sub-module.</li>
+</ul>
+<p>See <a class="el" href="group__linear__algebra.html">LINEAR_ALGEBRA</a> module for further information and API documentations.</p>
+<h2><a class="anchor" id="autotoc_md2"></a>
+Non-Linear Algebra</h2>
+<p>The non-linear algebra module contains functions to solve multi-variant nonlinear equations as wells algorithms solving problems of regression smoothing and curve fitting. This module also enables enables the optimization of an approximate solution by using Non-linear Least Squares (NLS) methods such as modified Gauss–Newton (GN) or the Levenberg–Marquardt (LVM) algorithms. The non-linear algebra module is divided in the two following sub-modules:</p>
+<ul>
+<li>Solve non-linear equations sub-module.</li>
+<li>Optimization sub-module.</li>
+</ul>
+<p>See here <a class="el" href="group__non__linear__algebra.html">NON_LINEAR_ALGEBRA</a> module for further information.</p>
+<h2><a class="anchor" id="autotoc_md3"></a>
+Localization</h2>
+<p>The localization module contains functions to compute a position of a mobile device using distance measurements or DC-pulsed, magnetic signals. This module also includes optimization algorithms such as the Levenberg–Marquardt approach to optimize the calculated position. The localization module also involves a method to recognize and mitigate the multipath errors on the mobile station.</p>
+<p>In the <code>position_algos</code> sub-directory you can find the implementations of the distance-based localization system (see the <a class="el" href="group__distance__based.html">DISTANCE_BASED</a> module) as well as the implementations of the DC-pulsed, magnetic position system (see the <a class="el" href="group__magnetic__based.html">MAGNETIC_BASED</a> module). The <code>pos_algos_common</code> sub-directory contains common localization algorithms like the trilateration method (see the <a class="el" href="group__pos__algos__common.html">POS_ALGOS_COMMON</a> module). The optimization algorithms are localted in the <code>optimization</code> sub-directory providing the following optimization approaches:</p>
+<ul>
+<li>Gauss–Newton (GN) algorithm.</li>
+<li>Levenberg–Marquardt (LVM) algorithm. <br />
+</li>
+<li>Multipath Distance Detection and Mitigation (MDDM) algorithm.</li>
+</ul>
+<p>See the <a class="el" href="group__localization.html">LOCALIZATION</a> module for more detailed information.</p>
+<h2><a class="anchor" id="autotoc_md4"></a>
+examples</h2>
+<p>Here you find a number of example applications that demonstrate certain features of RcdMathLib. The examples found in this directory is a good starting point for anyone who is new to RcdMathLib.</p>
+<p>For more information best browse that directory and have a look at the <code>README.md</code> files that ship with each example.</p>
+<p>To create your own application - here or anywhere else - see <a class="el" href="creating-an-application.html">Creating an application</a></p>
+<h2><a class="anchor" id="autotoc_md5"></a>
+doc</h2>
+<p>The <code>doc</code> directory contains the doxygen configuration and also contains the compiled doxygen output after running <code>make doc</code>.</p>
+<h1><a class="anchor" id="further-information"></a>
+Further information</h1>
+<ul>
+<li><a class="el" href="getting-started.html">Getting started</a></li>
+<li><a class="el" href="creating-an-application.html">Creating an application</a></li>
+<li><a class="el" href="creating-modules.html">Creating modules</a> </li>
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n=C.setTimeout(e,r);t.stop=function(){C.clearTimeout(n)}})},ot=E.createElement("input"),at=E.createElement("select").appendChild(E.createElement("option")),ot.type="checkbox",y.checkOn=""!==ot.value,y.optSelected=at.selected,(ot=E.createElement("input")).value="t",ot.type="radio",y.radioValue="t"===ot.value;var ht,gt=k.expr.attrHandle;k.fn.extend({attr:function(e,t){return _(this,k.attr,e,t,1<arguments.length)},removeAttr:function(e){return this.each(function(){k.removeAttr(this,e)})}}),k.extend({attr:function(e,t,n){var r,i,o=e.nodeType;if(3!==o&&8!==o&&2!==o)return"undefined"==typeof e.getAttribute?k.prop(e,t,n):(1===o&&k.isXMLDoc(e)||(i=k.attrHooks[t.toLowerCase()]||(k.expr.match.bool.test(t)?ht:void 0)),void 0!==n?null===n?void k.removeAttr(e,t):i&&"set"in i&&void 0!==(r=i.set(e,n,t))?r:(e.setAttribute(t,n+""),n):i&&"get"in i&&null!==(r=i.get(e,t))?r:null==(r=k.find.attr(e,t))?void 0:r)},attrHooks:{type:{set:function(e,t){if(!y.radioValue&&"radio"===t&&A(e,"input")){var 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i,o,a,s,u,l,c,f,p=[n||E],d=v.call(e,"type")?e.type:e,h=v.call(e,"namespace")?e.namespace.split("."):[];if(o=f=a=n=n||E,3!==n.nodeType&&8!==n.nodeType&&!Tt.test(d+k.event.triggered)&&(-1<d.indexOf(".")&&(d=(h=d.split(".")).shift(),h.sort()),u=d.indexOf(":")<0&&"on"+d,(e=e[k.expando]?e:new k.Event(d,"object"==typeof e&&e)).isTrigger=r?2:3,e.namespace=h.join("."),e.rnamespace=e.namespace?new RegExp("(^|\\.)"+h.join("\\.(?:.*\\.|)")+"(\\.|$)"):null,e.result=void 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+* Copyright jQuery Foundation and other contributors; Licensed MIT */
+
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s=t(this).resizable("instance"),n=s.options,o=s.originalSize,a=s.originalPosition,r={height:s.size.height-o.height||0,width:s.size.width-o.width||0,top:s.position.top-a.top||0,left:s.position.left-a.left||0};t(n.alsoResize).each(function(){var e=t(this),s=t(this).data("ui-resizable-alsoresize"),n={},o=e.parents(i.originalElement[0]).length?["width","height"]:["width","height","top","left"];t.each(o,function(t,e){var i=(s[e]||0)+(r[e]||0);i&&i>=0&&(n[e]=i||null)}),e.css(n)})},stop:function(){t(this).removeData("ui-resizable-alsoresize")}}),t.ui.plugin.add("resizable","ghost",{start:function(){var e=t(this).resizable("instance"),i=e.size;e.ghost=e.originalElement.clone(),e.ghost.css({opacity:.25,display:"block",position:"relative",height:i.height,width:i.width,margin:0,left:0,top:0}),e._addClass(e.ghost,"ui-resizable-ghost"),t.uiBackCompat!==!1&&"string"==typeof e.options.ghost&&e.ghost.addClass(this.options.ghost),e.ghost.appendTo(e.helper)},resize:function(){var 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+ * Copyright (c) 2007 Ariel Flesler - aflesler ○ gmail • com | https://github.com/flesler
+ * Licensed under MIT
+ * @author Ariel Flesler
+ * @version 2.1.2
+ */
+;(function(f){"use strict";"function"===typeof define&&define.amd?define(["jquery"],f):"undefined"!==typeof module&&module.exports?module.exports=f(require("jquery")):f(jQuery)})(function($){"use strict";function n(a){return!a.nodeName||-1!==$.inArray(a.nodeName.toLowerCase(),["iframe","#document","html","body"])}function h(a){return $.isFunction(a)||$.isPlainObject(a)?a:{top:a,left:a}}var p=$.scrollTo=function(a,d,b){return $(window).scrollTo(a,d,b)};p.defaults={axis:"xy",duration:0,limit:!0};$.fn.scrollTo=function(a,d,b){"object"=== typeof d&&(b=d,d=0);"function"===typeof b&&(b={onAfter:b});"max"===a&&(a=9E9);b=$.extend({},p.defaults,b);d=d||b.duration;var u=b.queue&&1<b.axis.length;u&&(d/=2);b.offset=h(b.offset);b.over=h(b.over);return this.each(function(){function k(a){var k=$.extend({},b,{queue:!0,duration:d,complete:a&&function(){a.call(q,e,b)}});r.animate(f,k)}if(null!==a){var l=n(this),q=l?this.contentWindow||window:this,r=$(q),e=a,f={},t;switch(typeof e){case "number":case "string":if(/^([+-]=?)?\d+(\.\d+)?(px|%)?$/.test(e)){e= h(e);break}e=l?$(e):$(e,q);case "object":if(e.length===0)return;if(e.is||e.style)t=(e=$(e)).offset()}var v=$.isFunction(b.offset)&&b.offset(q,e)||b.offset;$.each(b.axis.split(""),function(a,c){var d="x"===c?"Left":"Top",m=d.toLowerCase(),g="scroll"+d,h=r[g](),n=p.max(q,c);t?(f[g]=t[m]+(l?0:h-r.offset()[m]),b.margin&&(f[g]-=parseInt(e.css("margin"+d),10)||0,f[g]-=parseInt(e.css("border"+d+"Width"),10)||0),f[g]+=v[m]||0,b.over[m]&&(f[g]+=e["x"===c?"width":"height"]()*b.over[m])):(d=e[m],f[g]=d.slice&& "%"===d.slice(-1)?parseFloat(d)/100*n:d);b.limit&&/^\d+$/.test(f[g])&&(f[g]=0>=f[g]?0:Math.min(f[g],n));!a&&1<b.axis.length&&(h===f[g]?f={}:u&&(k(b.onAfterFirst),f={}))});k(b.onAfter)}})};p.max=function(a,d){var b="x"===d?"Width":"Height",h="scroll"+b;if(!n(a))return a[h]-$(a)[b.toLowerCase()]();var b="client"+b,k=a.ownerDocument||a.document,l=k.documentElement,k=k.body;return Math.max(l[h],k[h])-Math.min(l[b],k[b])};$.Tween.propHooks.scrollLeft=$.Tween.propHooks.scrollTop={get:function(a){return $(a.elem)[a.prop]()}, set:function(a){var d=this.get(a);if(a.options.interrupt&&a._last&&a._last!==d)return $(a.elem).stop();var b=Math.round(a.now);d!==b&&($(a.elem)[a.prop](b),a._last=this.get(a))}};return p});
+/*!
+ PowerTip v1.3.1 (2018-04-15)
+ https://stevenbenner.github.io/jquery-powertip/
+ Copyright (c) 2018 Steven Benner (http://stevenbenner.com/).
+ Released under MIT license.
+ https://raw.github.com/stevenbenner/jquery-powertip/master/LICENSE.txt
+*/
+(function(root,factory){if(typeof define==="function"&&define.amd){define(["jquery"],factory)}else if(typeof module==="object"&&module.exports){module.exports=factory(require("jquery"))}else{factory(root.jQuery)}})(this,function($){var $document=$(document),$window=$(window),$body=$("body");var DATA_DISPLAYCONTROLLER="displayController",DATA_HASACTIVEHOVER="hasActiveHover",DATA_FORCEDOPEN="forcedOpen",DATA_HASMOUSEMOVE="hasMouseMove",DATA_MOUSEONTOTIP="mouseOnToPopup",DATA_ORIGINALTITLE="originalTitle",DATA_POWERTIP="powertip",DATA_POWERTIPJQ="powertipjq",DATA_POWERTIPTARGET="powertiptarget",EVENT_NAMESPACE=".powertip",RAD2DEG=180/Math.PI,MOUSE_EVENTS=["click","dblclick","mousedown","mouseup","mousemove","mouseover","mouseout","mouseenter","mouseleave","contextmenu"];var 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+ * jQuery UI Touch Punch 0.2.3
+ *
+ * Copyright 2011–2014, Dave Furfero
+ * Dual licensed under the MIT or GPL Version 2 licenses.
+ *
+ * Depends:
+ * jquery.ui.widget.js
+ * jquery.ui.mouse.js
+ */
+!function(a){function f(a,b){if(!(a.originalEvent.touches.length>1)){a.preventDefault();var c=a.originalEvent.changedTouches[0],d=document.createEvent("MouseEvents");d.initMouseEvent(b,!0,!0,window,1,c.screenX,c.screenY,c.clientX,c.clientY,!1,!1,!1,!1,0,null),a.target.dispatchEvent(d)}}if(a.support.touch="ontouchend"in document,a.support.touch){var e,b=a.ui.mouse.prototype,c=b._mouseInit,d=b._mouseDestroy;b._touchStart=function(a){var b=this;!e&&b._mouseCapture(a.originalEvent.changedTouches[0])&&(e=!0,b._touchMoved=!1,f(a,"mouseover"),f(a,"mousemove"),f(a,"mousedown"))},b._touchMove=function(a){e&&(this._touchMoved=!0,f(a,"mousemove"))},b._touchEnd=function(a){e&&(f(a,"mouseup"),f(a,"mouseout"),this._touchMoved||f(a,"click"),e=!1)},b._mouseInit=function(){var b=this;b.element.bind({touchstart:a.proxy(b,"_touchStart"),touchmove:a.proxy(b,"_touchMove"),touchend:a.proxy(b,"_touchEnd")}),c.call(b)},b._mouseDestroy=function(){var b=this;b.element.unbind({touchstart:a.proxy(b,"_touchStart"),touchmove:a.proxy(b,"_touchMove"),touchend:a.proxy(b,"_touchEnd")}),d.call(b)}}}(jQuery);/*! SmartMenus jQuery Plugin - v1.1.0 - September 17, 2017
+ * http://www.smartmenus.org/
+ * Copyright Vasil Dinkov, Vadikom Web Ltd. http://vadikom.com; Licensed MIT */(function(t){"function"==typeof define&&define.amd?define(["jquery"],t):"object"==typeof module&&"object"==typeof module.exports?module.exports=t(require("jquery")):t(jQuery)})(function($){function initMouseDetection(t){var e=".smartmenus_mouse";if(mouseDetectionEnabled||t)mouseDetectionEnabled&&t&&($(document).off(e),mouseDetectionEnabled=!1);else{var i=!0,s=null,o={mousemove:function(t){var e={x:t.pageX,y:t.pageY,timeStamp:(new Date).getTime()};if(s){var o=Math.abs(s.x-e.x),a=Math.abs(s.y-e.y);if((o>0||a>0)&&2>=o&&2>=a&&300>=e.timeStamp-s.timeStamp&&(mouse=!0,i)){var n=$(t.target).closest("a");n.is("a")&&$.each(menuTrees,function(){return $.contains(this.$root[0],n[0])?(this.itemEnter({currentTarget:n[0]}),!1):void 0}),i=!1}}s=e}};o[touchEvents?"touchstart":"pointerover pointermove pointerout MSPointerOver MSPointerMove 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+<a href="#func-members">Functions</a> </div>
+ <div class="headertitle">
+<div class="title">levenberg_marquardt.c File Reference</div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Implement the Levenberg–Marquardt (LVM) algorithm.
+<a href="#details">More...</a></p>
+<div class="textblock"><code>#include <stdio.h></code><br />
+<code>#include <math.h></code><br />
+<code>#include <float.h></code><br />
+<code>#include <inttypes.h></code><br />
+<code>#include "<a class="el" href="levenberg__marquardt_8h_source.html">levenberg_marquardt.h</a>"</code><br />
+<code>#include "<a class="el" href="matrix_8h_source.html">matrix.h</a>"</code><br />
+<code>#include "<a class="el" href="vector_8h_source.html">vector.h</a>"</code><br />
+<code>#include "<a class="el" href="solve_8h_source.html">solve.h</a>"</code><br />
+<code>#include "<a class="el" href="utils_8h_source.html">utils.h</a>"</code><br />
+</div>
+<p><a href="levenberg__marquardt_8c_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a741182c4bc201af44ac010bc4474b826"><td class="memItemLeft" align="right" valign="top"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="levenberg__marquardt_8c.html#a741182c4bc201af44ac010bc4474b826">opt_levenberg_marquardt_correction</a> (uint8_t f_length, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> x_vec[n], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> data_vec[f_length], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> mu, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> s[n], void(*get_f_error)(<a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_vec[], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> data_vec[], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> f_vec[]), void(*get_jacobian)(<a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_vec[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J[][n]))</td></tr>
+<tr class="memdesc:a741182c4bc201af44ac010bc4474b826"><td class="mdescLeft"> </td><td class="mdescRight">Implements the correction-function of the Levenberg–Marquardt (LVM) algorithm. <a href="levenberg__marquardt_8c.html#a741182c4bc201af44ac010bc4474b826">More...</a><br /></td></tr>
+<tr class="separator:a741182c4bc201af44ac010bc4474b826"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a2a72b2b6be15a9998b61a9c0097e3d5f"><td class="memItemLeft" align="right" valign="top">uint8_t </td><td class="memItemRight" valign="bottom"><a class="el" href="levenberg__marquardt_8c.html#a2a72b2b6be15a9998b61a9c0097e3d5f">opt_levenberg_marquardt</a> (uint8_t f_length, uint8_t n, <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x0_vec[n], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> data_vec[f_length], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> eps, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> tau, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> beta0, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> beta1, uint8_t max_iter_num, <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> est_x_vec[n], void(*get_f_error)(<a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x0_vec[], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> data_vec[], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> f_vec[]), void(*get_jacobian)(<a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x0_vec[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J[][n]))</td></tr>
+<tr class="memdesc:a2a72b2b6be15a9998b61a9c0097e3d5f"><td class="mdescLeft"> </td><td class="mdescRight">Implements the Levenberg–Marquardt (LVM) algorithm. <a href="levenberg__marquardt_8c.html#a2a72b2b6be15a9998b61a9c0097e3d5f">More...</a><br /></td></tr>
+<tr class="separator:a2a72b2b6be15a9998b61a9c0097e3d5f"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a46fb5a9d6d185ff7f98c9cf34b56e34f"><td class="memItemLeft" align="right" valign="top"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="levenberg__marquardt_8c.html#a46fb5a9d6d185ff7f98c9cf34b56e34f">opt_levenberg_marquardt_get_mu0</a> (uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> tau, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> JTJ[][n])</td></tr>
+<tr class="memdesc:a46fb5a9d6d185ff7f98c9cf34b56e34f"><td class="mdescLeft"> </td><td class="mdescRight">Compute the initial value <img class="formulaInl" alt="$ \mu_0 $" src="form_57.png"/> of the Levenberg–Marquardt (LVM) algorithm. <a href="levenberg__marquardt_8c.html#a46fb5a9d6d185ff7f98c9cf34b56e34f">More...</a><br /></td></tr>
+<tr class="separator:a46fb5a9d6d185ff7f98c9cf34b56e34f"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Implement the Levenberg–Marquardt (LVM) algorithm. </p>
+<dl class="section note"><dt>Note</dt><dd>This function is generally implemented.</dd></dl>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd>
+<dd>
+Naouar Guerchali </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="levenberg__marquardt_8c_source.html">levenberg_marquardt.c</a>.</p>
+</div><h2 class="groupheader">Function Documentation</h2>
+<a id="a2a72b2b6be15a9998b61a9c0097e3d5f"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a2a72b2b6be15a9998b61a9c0097e3d5f">◆ </a></span>opt_levenberg_marquardt()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">uint8_t opt_levenberg_marquardt </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>f_length</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>x0_vec</em>[n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>data_vec</em>[f_length], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>eps</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>tau</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>beta0</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>beta1</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>max_iter_num</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>est_x_vec</em>[n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">void(*)(<a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x0_vec[], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> data_vec[], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> f_vec[]) </td>
+ <td class="paramname"><em>get_f_error</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">void(*)(<a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x0_vec[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J[][n]) </td>
+ <td class="paramname"><em>get_jacobian</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Implements the Levenberg–Marquardt (LVM) algorithm. </p>
+<p>The user should provide pointers to the error and Jacobian functions. </p><dl class="section note"><dt>Note</dt><dd>This function is generally implemented.</dd></dl>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">f_length</td><td>length of the error functions vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>length of the start vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">x0_vec[]</td><td>start vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">data_vec[]</td><td>data vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">eps</td><td>accuracy bound. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">tau</td><td><img class="formulaInl" alt="$ \tau $" src="form_52.png"/> factor. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">beta0</td><td><img class="formulaInl" alt="$ \beta_0 $" src="form_53.png"/> factor. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">beta1</td><td><img class="formulaInl" alt="$ \beta_1 $" src="form_54.png"/> factor. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">max_iter_num</td><td>maximal iteration number of the LVM algorithm. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">est_x_vec[]</td><td>estimated (optimized) vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">(*get_f_error)</td><td>pointer to the error function. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">(*get_jacobian)</td><td>pointer to the Jacobian matrix.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>required iteration number. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="levenberg__marquardt_8c_source.html#l00143">143</a> of file <a class="el" href="levenberg__marquardt_8c_source.html">levenberg_marquardt.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8c_source.html#l00353">matrix_add_to_diag()</a>, <a class="el" href="matrix_8c_source.html#l00602">matrix_mul_scalar()</a>, <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>, <a class="el" href="matrix_8c_source.html#l00545">matrix_trans_mul_itself()</a>, <a class="el" href="matrix_8c_source.html#l00511">matrix_trans_mul_vec()</a>, <a class="el" href="levenberg__marquardt_8c_source.html#l00053">opt_levenberg_marquardt_correction()</a>, <a class="el" href="levenberg__marquardt_8c_source.html#l00227">opt_levenberg_marquardt_get_mu0()</a>, <a class="el" href="solve_8c_source.html#l00077">solve_householder()</a>, <a class="el" href="vector_8c_source.html#l00104">vector_add()</a>, <a class="el" href="vector_8c_source.html#l00037">vector_copy()</a>, <a class="el" href="vector_8c_source.html#l00042">vector_get_norm2()</a>, and <a class="el" href="vector_8h_source.html#l00033">vector_t</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="optimization__test_8c_source.html#l00264">optimization_exponential_data_test()</a>, <a class="el" href="optimization__test_8c_source.html#l00376">optimization_sinusoidal_data_test()</a>, and <a class="el" href="optimization__test_8c_source.html#l00101">optimization_test()</a>.</p>
+
+</div>
+</div>
+<a id="a741182c4bc201af44ac010bc4474b826"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a741182c4bc201af44ac010bc4474b826">◆ </a></span>opt_levenberg_marquardt_correction()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> opt_levenberg_marquardt_correction </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>f_length</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>x_vec</em>[n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>data_vec</em>[f_length], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>mu</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>s</em>[n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">void(*)(<a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_vec[], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> data_vec[], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> f_vec[]) </td>
+ <td class="paramname"><em>get_f_error</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">void(*)(<a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_vec[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J[][n]) </td>
+ <td class="paramname"><em>get_jacobian</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Implements the correction-function of the Levenberg–Marquardt (LVM) algorithm. </p>
+<p>The user should provide pointers to the error and Jacobian functions.</p>
+<dl class="section note"><dt>Note</dt><dd>This function is generally implemented.</dd></dl>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">f_length</td><td>length of the error functions vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>length of the start vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">x_vec[]</td><td>start vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">data_vec[]</td><td>data vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">mu</td><td>regularization parameter <img class="formulaInl" alt="$ \mu $" src="form_55.png"/>. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">s[]</td><td>correction vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">(*get_f_error)</td><td>pointer to the error function that calculates the matrix <img class="formulaInl" alt="$ J_f^{T} J_{f} $" src="form_40.png"/>. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">(*get_jacobian)</td><td>pointer to the Jacobian matrix.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the parameter <img class="formulaInl" alt="$ \rho_{\mu} $" src="form_56.png"/> </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="levenberg__marquardt_8c_source.html#l00053">53</a> of file <a class="el" href="levenberg__marquardt_8c_source.html">levenberg_marquardt.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8c_source.html#l00353">matrix_add_to_diag()</a>, <a class="el" href="matrix_8c_source.html#l00602">matrix_mul_scalar()</a>, <a class="el" href="matrix_8c_source.html#l00434">matrix_mul_vec()</a>, <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>, <a class="el" href="matrix_8c_source.html#l00545">matrix_trans_mul_itself()</a>, <a class="el" href="matrix_8c_source.html#l00511">matrix_trans_mul_vec()</a>, <a class="el" href="solve_8c_source.html#l00077">solve_householder()</a>, <a class="el" href="vector_8c_source.html#l00104">vector_add()</a>, <a class="el" href="vector_8c_source.html#l00190">vector_get_scalar_product()</a>, and <a class="el" href="vector_8h_source.html#l00033">vector_t</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="levenberg__marquardt_8c_source.html#l00143">opt_levenberg_marquardt()</a>.</p>
+
+</div>
+</div>
+<a id="a46fb5a9d6d185ff7f98c9cf34b56e34f"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a46fb5a9d6d185ff7f98c9cf34b56e34f">◆ </a></span>opt_levenberg_marquardt_get_mu0()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> opt_levenberg_marquardt_get_mu0 </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>tau</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>JTJ</em>[][n] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute the initial value <img class="formulaInl" alt="$ \mu_0 $" src="form_57.png"/> of the Levenberg–Marquardt (LVM) algorithm. </p>
+<p>The user should provide a pointer to the matrix <img class="formulaInl" alt="$ J_f^{T} J_{f} $" src="form_40.png"/>.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix <img class="formulaInl" alt="$J_f^T J_f$" src="form_61.png"/>. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">tau</td><td><img class="formulaInl" alt="$ \tau $" src="form_52.png"/> factor. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">JTJ[][]</td><td>pointer to the matrix <img class="formulaInl" alt="$J_f^T J_f$" src="form_61.png"/>.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>parameter <img class="formulaInl" alt="$ \rho_{\mu} $" src="form_56.png"/> </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="levenberg__marquardt_8c_source.html#l00227">227</a> of file <a class="el" href="levenberg__marquardt_8c_source.html">levenberg_marquardt.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="levenberg__marquardt_8c_source.html#l00143">opt_levenberg_marquardt()</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="navelem"><a class="el" href="dir_943f05c9b1835bace55f73b49add4eb5.html">non_linear_algebra</a></li><li class="navelem"><a class="el" href="dir_a849c678c2f9059c847e621780a4cff4.html">optimization</a></li><li class="navelem"><a class="el" href="levenberg__marquardt_8c.html">levenberg_marquardt.c</a></li>
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+<div class="title">levenberg_marquardt.c</div> </div>
+</div><!--header-->
+<div class="contents">
+<a href="levenberg__marquardt_8c.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="preprocessor">#include <stdio.h></span></div>
+<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="preprocessor">#include <math.h></span></div>
+<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#include <float.h></span></div>
+<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="preprocessor">#include <inttypes.h></span></div>
+<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>  </div>
+<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="preprocessor">#include "<a class="code" href="levenberg__marquardt_8h.html">levenberg_marquardt.h</a>"</span></div>
+<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="preprocessor">#include "<a class="code" href="matrix_8h.html">matrix.h</a>"</span></div>
+<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="preprocessor">#include "<a class="code" href="vector_8h.html">vector.h</a>"</span></div>
+<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="preprocessor">#include "<a class="code" href="solve_8h.html">solve.h</a>"</span></div>
+<div class="line"><a name="l00032"></a><span class="lineno"> 32</span> <span class="preprocessor">#include "<a class="code" href="utils_8h.html">utils.h</a>"</span></div>
+<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>  </div>
+<div class="line"><a name="l00053"></a><span class="lineno"><a class="line" href="levenberg__marquardt_8c.html#a741182c4bc201af44ac010bc4474b826"> 53</a></span> <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> <a class="code" href="levenberg__marquardt_8c.html#a741182c4bc201af44ac010bc4474b826">opt_levenberg_marquardt_correction</a>(uint8_t f_length, uint8_t n,</div>
+<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> x_vec[n],</div>
+<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> data_vec[f_length],</div>
+<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> mu,</div>
+<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> s[n],</div>
+<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  <span class="keywordtype">void</span> (*get_f_error)(</div>
+<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_vec[],</div>
+<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> data_vec[],</div>
+<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> f_vec[]),</div>
+<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  <span class="keywordtype">void</span> (*get_jacobian)(</div>
+<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_vec[],</div>
+<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J[][n])</div>
+<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  )</div>
+<div class="line"><a name="l00066"></a><span class="lineno"> 66</span> {</div>
+<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  </div>
+<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> Fx[f_length];</div>
+<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J[f_length][n];</div>
+<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> f_vec[f_length];</div>
+<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> JTJ_mu2_I[n][n];</div>
+<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> JTF[n];</div>
+<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ro_mu = 0;</div>
+<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> Fx_square = 0;</div>
+<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> Fx_plus_s_square = 0;</div>
+<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> Fx_plus_J_mul_s_square = 0;</div>
+<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> Fx_plus_J_mul_s[f_length];</div>
+<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> F_x_plus_s[f_length];</div>
+<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_plus_s[n];</div>
+<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> denom;</div>
+<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  </div>
+<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  <span class="comment">/*</span></div>
+<div class="line"><a name="l00083"></a><span class="lineno"> 83</span> <span class="comment"> * compute: -(J'J + mu^2*I)</span></div>
+<div class="line"><a name="l00084"></a><span class="lineno"> 84</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  <span class="comment">//JT_J = J'*J</span></div>
+<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  get_jacobian(x_vec, J);</div>
+<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  </div>
+<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  <span class="comment">//store J'J in JTJ_mu2_I</span></div>
+<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  <a class="code" href="matrix_8h.html#a0107887a6c40980fa639750be8262f01">matrix_trans_mul_itself</a>(f_length, n, J, JTJ_mu2_I);</div>
+<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  </div>
+<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  <span class="comment">//compute: J'J + mu^2*I</span></div>
+<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  <a class="code" href="matrix_8h.html#aa8acafd4181978f536976f8151e51516">matrix_add_to_diag</a>(n, JTJ_mu2_I, n, pow(mu, 2));</div>
+<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  </div>
+<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  <span class="comment">// -(J'*J+mu^2*eye(n)), is an (nxn) matrix</span></div>
+<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  <a class="code" href="matrix_8h.html#a51139e6c87b602e5e0ebfbc406fda35d">matrix_mul_scalar</a>(n, n, JTJ_mu2_I, -1, JTJ_mu2_I);</div>
+<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  </div>
+<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  <span class="comment">//JT_f = J'*f</span></div>
+<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  get_f_error(x_vec, data_vec, f_vec);</div>
+<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  <a class="code" href="matrix_8h.html#a53b0a1829b2085414fb66a9e9bd6c7b7">matrix_trans_mul_vec</a>(f_length, n, J, f_length, f_vec, JTF);</div>
+<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  </div>
+<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  <span class="comment">//solve the equation: s = -(J'*J+mu^2*I)\(J'*Fx);</span></div>
+<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  <a class="code" href="solve_8h.html#ab6336aff7fbff116a6118b39a0d1e2cd">solve_householder</a>(n, n, JTJ_mu2_I, JTF, s);</div>
+<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  </div>
+<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  <span class="comment">//f(x)</span></div>
+<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  get_f_error(x_vec, data_vec, Fx);</div>
+<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  </div>
+<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  <span class="comment">//f(x)^2</span></div>
+<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  Fx_square = <a class="code" href="vector_8h.html#a5f4b706c07b9b0f7a4983d80fba99e4e">vector_get_scalar_product</a>(f_length, Fx, Fx);</div>
+<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  </div>
+<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  <span class="comment">//(x+s)</span></div>
+<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  <a class="code" href="vector_8h.html#a92917951880002814392c2367896d7a0">vector_add</a>(n, x_vec, s, x_plus_s);</div>
+<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  </div>
+<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  <span class="comment">//f(x+s)</span></div>
+<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  get_f_error(x_plus_s, data_vec, F_x_plus_s);</div>
+<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  </div>
+<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  <span class="comment">//f(x+s)^2</span></div>
+<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  Fx_plus_s_square = <a class="code" href="vector_8h.html#a5f4b706c07b9b0f7a4983d80fba99e4e">vector_get_scalar_product</a>(f_length, F_x_plus_s,</div>
+<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  F_x_plus_s);</div>
+<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  </div>
+<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  <span class="comment">//compute: J(x)*s</span></div>
+<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  <a class="code" href="matrix_8h.html#ad610bcce232c69ca302550f57b1ad9fb">matrix_mul_vec</a>(f_length, n, J, s, Fx_plus_J_mul_s);</div>
+<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  </div>
+<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  <span class="comment">//compute: f(x) + J(x)*s</span></div>
+<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  <a class="code" href="vector_8h.html#a92917951880002814392c2367896d7a0">vector_add</a>(f_length, Fx, Fx_plus_J_mul_s, Fx_plus_J_mul_s);</div>
+<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  </div>
+<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  <span class="comment">//compute: ||f(x) + J(x)*s||^2</span></div>
+<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  Fx_plus_J_mul_s_square = <a class="code" href="vector_8h.html#a5f4b706c07b9b0f7a4983d80fba99e4e">vector_get_scalar_product</a>(f_length,</div>
+<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  Fx_plus_J_mul_s,</div>
+<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  Fx_plus_J_mul_s);</div>
+<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  </div>
+<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  denom = Fx_square - Fx_plus_J_mul_s_square;</div>
+<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  <span class="keywordflow">if</span> (denom != 0) {</div>
+<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  ro_mu = (Fx_square - Fx_plus_s_square) / denom;</div>
+<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  }</div>
+<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  <span class="keywordflow">else</span> {</div>
+<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  puts(<span class="stringliteral">"ro_mu is infinite !!!"</span>);</div>
+<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  ro_mu = FLT_MAX;</div>
+<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  }</div>
+<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  </div>
+<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  <span class="keywordflow">return</span> ro_mu;</div>
+<div class="line"><a name="l00141"></a><span class="lineno"> 141</span> }</div>
+<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  </div>
+<div class="line"><a name="l00143"></a><span class="lineno"><a class="line" href="levenberg__marquardt_8c.html#a2a72b2b6be15a9998b61a9c0097e3d5f"> 143</a></span> uint8_t <a class="code" href="levenberg__marquardt_8c.html#a2a72b2b6be15a9998b61a9c0097e3d5f">opt_levenberg_marquardt</a>(uint8_t f_length, uint8_t n,</div>
+<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x0_vec[n],</div>
+<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> data_vec[f_length],</div>
+<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> eps, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> tau, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> beta0,</div>
+<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> beta1,</div>
+<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>  uint8_t max_iter_num,</div>
+<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> est_x_vec[n],</div>
+<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>  <span class="keywordtype">void</span> (*get_f_error)(<a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x0_vec[],</div>
+<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> data_vec[],</div>
+<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> f_vec[]),</div>
+<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>  <span class="keywordtype">void</span> (*get_jacobian)(<a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x0_vec[],</div>
+<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J[][n])</div>
+<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  )</div>
+<div class="line"><a name="l00156"></a><span class="lineno"> 156</span> {</div>
+<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J[f_length][n];</div>
+<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> JT_f[n];</div>
+<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> JTJ_mu2_I[n][n];</div>
+<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> s[n];</div>
+<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> f_vec[f_length];</div>
+<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> mu;</div>
+<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ro_mu;</div>
+<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>  uint8_t it;</div>
+<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>  </div>
+<div class="line"><a name="l00166"></a><span class="lineno"> 166</span>  <span class="comment">/*</span></div>
+<div class="line"><a name="l00167"></a><span class="lineno"> 167</span> <span class="comment"> * compute mu0 and -(J'J + mu0^2*I)</span></div>
+<div class="line"><a name="l00168"></a><span class="lineno"> 168</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00169"></a><span class="lineno"> 169</span>  <span class="comment">//JT_J = J'*J</span></div>
+<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>  get_jacobian(x0_vec, J);</div>
+<div class="line"><a name="l00171"></a><span class="lineno"> 171</span>  </div>
+<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>  <span class="comment">//store J'J in JTJ_mu2_I</span></div>
+<div class="line"><a name="l00173"></a><span class="lineno"> 173</span>  <a class="code" href="matrix_8h.html#a0107887a6c40980fa639750be8262f01">matrix_trans_mul_itself</a>(f_length, n, J, JTJ_mu2_I);</div>
+<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>  </div>
+<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>  <span class="comment">// compute mu_0: mu = mu_0</span></div>
+<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>  mu = <a class="code" href="levenberg__marquardt_8c.html#a46fb5a9d6d185ff7f98c9cf34b56e34f">opt_levenberg_marquardt_get_mu0</a>(n, tau, JTJ_mu2_I);</div>
+<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>  </div>
+<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>  <span class="comment">//compute: J'J + mu0^2*I</span></div>
+<div class="line"><a name="l00179"></a><span class="lineno"> 179</span>  <a class="code" href="matrix_8h.html#aa8acafd4181978f536976f8151e51516">matrix_add_to_diag</a>(n, JTJ_mu2_I, n, pow(mu, 2));</div>
+<div class="line"><a name="l00180"></a><span class="lineno"> 180</span>  </div>
+<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>  <span class="comment">//-(J'*J+mu0^2*eye(n)) is a (n,n) matrix</span></div>
+<div class="line"><a name="l00182"></a><span class="lineno"> 182</span>  <a class="code" href="matrix_8h.html#a51139e6c87b602e5e0ebfbc406fda35d">matrix_mul_scalar</a>(n, n, JTJ_mu2_I, -1, JTJ_mu2_I);</div>
+<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>  </div>
+<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>  <span class="comment">//compute JTF: JT_f = J'*f</span></div>
+<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>  get_f_error(x0_vec, data_vec, f_vec);</div>
+<div class="line"><a name="l00186"></a><span class="lineno"> 186</span>  <a class="code" href="matrix_8h.html#a53b0a1829b2085414fb66a9e9bd6c7b7">matrix_trans_mul_vec</a>(f_length, n, J, f_length, f_vec, JT_f);</div>
+<div class="line"><a name="l00187"></a><span class="lineno"> 187</span>  </div>
+<div class="line"><a name="l00188"></a><span class="lineno"> 188</span>  <span class="comment">//solve the equation: s=-(J'*J+mu^2*eye(n))\(J'*F);</span></div>
+<div class="line"><a name="l00189"></a><span class="lineno"> 189</span>  <a class="code" href="solve_8h.html#ab6336aff7fbff116a6118b39a0d1e2cd">solve_householder</a>(n, n, JTJ_mu2_I, JT_f, s);</div>
+<div class="line"><a name="l00190"></a><span class="lineno"> 190</span>  </div>
+<div class="line"><a name="l00191"></a><span class="lineno"> 191</span>  <a class="code" href="vector_8h.html#ae9d3378f23ba835c727245b434b8a7f6">vector_copy</a>(n, x0_vec, est_x_vec);</div>
+<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>  </div>
+<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>  it = 0;</div>
+<div class="line"><a name="l00194"></a><span class="lineno"> 194</span>  <span class="keywordflow">while</span> ((<a class="code" href="vector_8h.html#a4cfc452fdff3e32a601ccff140cd9ae6">vector_get_norm2</a>(n, s)</div>
+<div class="line"><a name="l00195"></a><span class="lineno"> 195</span>  > eps * (1 + <a class="code" href="vector_8h.html#a4cfc452fdff3e32a601ccff140cd9ae6">vector_get_norm2</a>(n, est_x_vec)))</div>
+<div class="line"><a name="l00196"></a><span class="lineno"> 196</span>  && (it < max_iter_num)) { <span class="comment">//norm(s,2)>eps*(1+norm(x,2))</span></div>
+<div class="line"><a name="l00197"></a><span class="lineno"> 197</span>  </div>
+<div class="line"><a name="l00198"></a><span class="lineno"> 198</span>  ro_mu = <a class="code" href="levenberg__marquardt_8c.html#a741182c4bc201af44ac010bc4474b826">opt_levenberg_marquardt_correction</a>(f_length, n,</div>
+<div class="line"><a name="l00199"></a><span class="lineno"> 199</span>  est_x_vec, data_vec,</div>
+<div class="line"><a name="l00200"></a><span class="lineno"> 200</span>  mu, s, get_f_error,</div>
+<div class="line"><a name="l00201"></a><span class="lineno"> 201</span>  get_jacobian);</div>
+<div class="line"><a name="l00202"></a><span class="lineno"> 202</span>  </div>
+<div class="line"><a name="l00203"></a><span class="lineno"> 203</span>  <span class="keywordflow">while</span> (1) {</div>
+<div class="line"><a name="l00204"></a><span class="lineno"> 204</span>  <span class="keywordflow">if</span> (ro_mu <= beta0) {</div>
+<div class="line"><a name="l00205"></a><span class="lineno"> 205</span>  mu = 2.0 * mu;</div>
+<div class="line"><a name="l00206"></a><span class="lineno"> 206</span>  ro_mu = <a class="code" href="levenberg__marquardt_8c.html#a741182c4bc201af44ac010bc4474b826">opt_levenberg_marquardt_correction</a>(</div>
+<div class="line"><a name="l00207"></a><span class="lineno"> 207</span>  f_length, n,</div>
+<div class="line"><a name="l00208"></a><span class="lineno"> 208</span>  est_x_vec,</div>
+<div class="line"><a name="l00209"></a><span class="lineno"> 209</span>  data_vec, mu, s, get_f_error,</div>
+<div class="line"><a name="l00210"></a><span class="lineno"> 210</span>  get_jacobian);</div>
+<div class="line"><a name="l00211"></a><span class="lineno"> 211</span>  }</div>
+<div class="line"><a name="l00212"></a><span class="lineno"> 212</span>  <span class="keywordflow">else</span> <span class="keywordflow">if</span> (ro_mu >= beta1) {</div>
+<div class="line"><a name="l00213"></a><span class="lineno"> 213</span>  mu = mu / 2.0;</div>
+<div class="line"><a name="l00214"></a><span class="lineno"> 214</span>  <span class="keywordflow">break</span>;</div>
+<div class="line"><a name="l00215"></a><span class="lineno"> 215</span>  }</div>
+<div class="line"><a name="l00216"></a><span class="lineno"> 216</span>  <span class="keywordflow">else</span> {</div>
+<div class="line"><a name="l00217"></a><span class="lineno"> 217</span>  <span class="keywordflow">break</span>;</div>
+<div class="line"><a name="l00218"></a><span class="lineno"> 218</span>  }</div>
+<div class="line"><a name="l00219"></a><span class="lineno"> 219</span>  }</div>
+<div class="line"><a name="l00220"></a><span class="lineno"> 220</span>  <a class="code" href="vector_8h.html#a92917951880002814392c2367896d7a0">vector_add</a>(n, est_x_vec, s, est_x_vec);</div>
+<div class="line"><a name="l00221"></a><span class="lineno"> 221</span>  it = it + 1;</div>
+<div class="line"><a name="l00222"></a><span class="lineno"> 222</span>  } <span class="comment">//while</span></div>
+<div class="line"><a name="l00223"></a><span class="lineno"> 223</span>  </div>
+<div class="line"><a name="l00224"></a><span class="lineno"> 224</span>  <span class="keywordflow">return</span> it;</div>
+<div class="line"><a name="l00225"></a><span class="lineno"> 225</span> }</div>
+<div class="line"><a name="l00226"></a><span class="lineno"> 226</span>  </div>
+<div class="line"><a name="l00227"></a><span class="lineno"><a class="line" href="levenberg__marquardt_8c.html#a46fb5a9d6d185ff7f98c9cf34b56e34f"> 227</a></span> <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> <a class="code" href="levenberg__marquardt_8c.html#a46fb5a9d6d185ff7f98c9cf34b56e34f">opt_levenberg_marquardt_get_mu0</a>(uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> tau,</div>
+<div class="line"><a name="l00228"></a><span class="lineno"> 228</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> JTJ[][n])</div>
+<div class="line"><a name="l00229"></a><span class="lineno"> 229</span> {</div>
+<div class="line"><a name="l00230"></a><span class="lineno"> 230</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> max_diag_JTJ = JTJ[0][0];</div>
+<div class="line"><a name="l00231"></a><span class="lineno"> 231</span>  </div>
+<div class="line"><a name="l00232"></a><span class="lineno"> 232</span>  <span class="keywordflow">for</span> (uint8_t i = 1; i < n; i++) {</div>
+<div class="line"><a name="l00233"></a><span class="lineno"> 233</span>  <span class="keywordflow">if</span> (JTJ[i][i] > max_diag_JTJ) {</div>
+<div class="line"><a name="l00234"></a><span class="lineno"> 234</span>  max_diag_JTJ = JTJ[i][i];</div>
+<div class="line"><a name="l00235"></a><span class="lineno"> 235</span>  }</div>
+<div class="line"><a name="l00236"></a><span class="lineno"> 236</span>  }</div>
+<div class="line"><a name="l00237"></a><span class="lineno"> 237</span>  </div>
+<div class="line"><a name="l00238"></a><span class="lineno"> 238</span>  <span class="keywordflow">return</span> tau * max_diag_JTJ;</div>
+<div class="line"><a name="l00239"></a><span class="lineno"> 239</span> }</div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="avector_8h_html_a4cfc452fdff3e32a601ccff140cd9ae6"><div class="ttname"><a href="vector_8h.html#a4cfc452fdff3e32a601ccff140cd9ae6">vector_get_norm2</a></div><div class="ttdeci">vector_t vector_get_norm2(uint8_t length, vector_t arr[])</div><div class="ttdoc">Compute the 2-norm norm of a vector.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00042">vector.c:42</a></div></div>
+<div class="ttc" id="amatrix_8h_html_ad610bcce232c69ca302550f57b1ad9fb"><div class="ttname"><a href="matrix_8h.html#ad610bcce232c69ca302550f57b1ad9fb">matrix_mul_vec</a></div><div class="ttdeci">void matrix_mul_vec(uint8_t m, uint8_t n, matrix_t matrix[m][n], matrix_t vec[n], matrix_t dst_arr[m])</div><div class="ttdoc">Compute the multiplication of a matrix with a column vector.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00434">matrix.c:434</a></div></div>
+<div class="ttc" id="alevenberg__marquardt_8c_html_a2a72b2b6be15a9998b61a9c0097e3d5f"><div class="ttname"><a href="levenberg__marquardt_8c.html#a2a72b2b6be15a9998b61a9c0097e3d5f">opt_levenberg_marquardt</a></div><div class="ttdeci">uint8_t opt_levenberg_marquardt(uint8_t f_length, uint8_t n, vector_t x0_vec[n], vector_t data_vec[f_length], matrix_t eps, matrix_t tau, matrix_t beta0, matrix_t beta1, uint8_t max_iter_num, vector_t est_x_vec[n], void(*get_f_error)(vector_t x0_vec[], vector_t data_vec[], vector_t f_vec[]), void(*get_jacobian)(vector_t x0_vec[], matrix_t J[][n]))</div><div class="ttdoc">Implements the Levenberg–Marquardt (LVM) algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="levenberg__marquardt_8c_source.html#l00143">levenberg_marquardt.c:143</a></div></div>
+<div class="ttc" id="avector_8h_html_a5f4b706c07b9b0f7a4983d80fba99e4e"><div class="ttname"><a href="vector_8h.html#a5f4b706c07b9b0f7a4983d80fba99e4e">vector_get_scalar_product</a></div><div class="ttdeci">vector_t vector_get_scalar_product(uint8_t n, vector_t vec1[n], vector_t vec2[n])</div><div class="ttdoc">Compute the dot product of two vectors.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00190">vector.c:190</a></div></div>
+<div class="ttc" id="asolve_8h_html_ab6336aff7fbff116a6118b39a0d1e2cd"><div class="ttname"><a href="solve_8h.html#ab6336aff7fbff116a6118b39a0d1e2cd">solve_householder</a></div><div class="ttdeci">int8_t solve_householder(uint8_t m, uint8_t n, matrix_t A[][n], matrix_t b[m], matrix_t x_sol[n])</div><div class="ttdoc">Solve an (m n) linear system Ax = b, using the Householder algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="solve_8c_source.html#l00077">solve.c:77</a></div></div>
+<div class="ttc" id="avector_8h_html_acb41430bc5720dda7d1c45d91a0b0221"><div class="ttname"><a href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a></div><div class="ttdeci">#define vector_t</div><div class="ttdoc">Define the data type of the vector elements.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8h_source.html#l00033">vector.h:33</a></div></div>
+<div class="ttc" id="amatrix_8h_html_a0107887a6c40980fa639750be8262f01"><div class="ttname"><a href="matrix_8h.html#a0107887a6c40980fa639750be8262f01">matrix_trans_mul_itself</a></div><div class="ttdeci">void matrix_trans_mul_itself(uint8_t m, uint8_t n, matrix_t A[m][n], matrix_t AT_mul_A[n][n])</div><div class="ttdoc">Compute the multiplication of the transpose of a matrix with itself.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00545">matrix.c:545</a></div></div>
+<div class="ttc" id="amatrix_8h_html_aa8acafd4181978f536976f8151e51516"><div class="ttname"><a href="matrix_8h.html#aa8acafd4181978f536976f8151e51516">matrix_add_to_diag</a></div><div class="ttdeci">void matrix_add_to_diag(uint8_t n, matrix_t A[][n], uint8_t diag_el_num, matrix_t value)</div><div class="ttdoc">Add a number to diagonal elements of a matrix.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00353">matrix.c:353</a></div></div>
+<div class="ttc" id="amatrix_8h_html_a53b0a1829b2085414fb66a9e9bd6c7b7"><div class="ttname"><a href="matrix_8h.html#a53b0a1829b2085414fb66a9e9bd6c7b7">matrix_trans_mul_vec</a></div><div class="ttdeci">void matrix_trans_mul_vec(uint8_t m, uint8_t n, matrix_t A[m][n], uint8_t b_size, matrix_t b_vec[m], matrix_t c_vec[n])</div><div class="ttdoc">Compute the multiplication of transposed matrix with column vector.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00511">matrix.c:511</a></div></div>
+<div class="ttc" id="asolve_8h_html"><div class="ttname"><a href="solve_8h.html">solve.h</a></div><div class="ttdoc">Enables to solve systems of linear equations Ax = b for x.</div></div>
+<div class="ttc" id="amatrix_8h_html"><div class="ttname"><a href="matrix_8h.html">matrix.h</a></div><div class="ttdoc">Matrix computations.</div></div>
+<div class="ttc" id="autils_8h_html"><div class="ttname"><a href="utils_8h.html">utils.h</a></div><div class="ttdoc">Utilities for linear algebra.</div></div>
+<div class="ttc" id="alevenberg__marquardt_8c_html_a741182c4bc201af44ac010bc4474b826"><div class="ttname"><a href="levenberg__marquardt_8c.html#a741182c4bc201af44ac010bc4474b826">opt_levenberg_marquardt_correction</a></div><div class="ttdeci">matrix_t opt_levenberg_marquardt_correction(uint8_t f_length, uint8_t n, matrix_t x_vec[n], matrix_t data_vec[f_length], matrix_t mu, matrix_t s[n], void(*get_f_error)(vector_t x_vec[], vector_t data_vec[], vector_t f_vec[]), void(*get_jacobian)(vector_t x_vec[], matrix_t J[][n]))</div><div class="ttdoc">Implements the correction-function of the Levenberg–Marquardt (LVM) algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="levenberg__marquardt_8c_source.html#l00053">levenberg_marquardt.c:53</a></div></div>
+<div class="ttc" id="amatrix_8h_html_a51139e6c87b602e5e0ebfbc406fda35d"><div class="ttname"><a href="matrix_8h.html#a51139e6c87b602e5e0ebfbc406fda35d">matrix_mul_scalar</a></div><div class="ttdeci">void matrix_mul_scalar(uint8_t m, uint8_t n, matrix_t mat_src[m][n], matrix_t value, matrix_t mat_dest[m][n])</div><div class="ttdoc">Multiply all elements of a matrix with a specified value.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00602">matrix.c:602</a></div></div>
+<div class="ttc" id="alevenberg__marquardt_8h_html"><div class="ttname"><a href="levenberg__marquardt_8h.html">levenberg_marquardt.h</a></div><div class="ttdoc">Implement the Levenberg–Marquardt (LVM) algorithm.</div></div>
+<div class="ttc" id="avector_8h_html_ae9d3378f23ba835c727245b434b8a7f6"><div class="ttname"><a href="vector_8h.html#ae9d3378f23ba835c727245b434b8a7f6">vector_copy</a></div><div class="ttdeci">void vector_copy(uint8_t size, vector_t src_arr[], vector_t dest_arr[])</div><div class="ttdoc">Copy the elements of the source vector to the destination vector.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00037">vector.c:37</a></div></div>
+<div class="ttc" id="alevenberg__marquardt_8c_html_a46fb5a9d6d185ff7f98c9cf34b56e34f"><div class="ttname"><a href="levenberg__marquardt_8c.html#a46fb5a9d6d185ff7f98c9cf34b56e34f">opt_levenberg_marquardt_get_mu0</a></div><div class="ttdeci">matrix_t opt_levenberg_marquardt_get_mu0(uint8_t n, matrix_t tau, matrix_t JTJ[][n])</div><div class="ttdoc">Compute the initial value of the Levenberg–Marquardt (LVM) algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="levenberg__marquardt_8c_source.html#l00227">levenberg_marquardt.c:227</a></div></div>
+<div class="ttc" id="amatrix_8h_html_af38ac6b76d645fea9abd6caeb4d9dd31"><div class="ttname"><a href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a></div><div class="ttdeci">#define matrix_t</div><div class="ttdoc">Define the data type of the matrix elements.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8h_source.html#l00038">matrix.h:38</a></div></div>
+<div class="ttc" id="avector_8h_html_a92917951880002814392c2367896d7a0"><div class="ttname"><a href="vector_8h.html#a92917951880002814392c2367896d7a0">vector_add</a></div><div class="ttdeci">void vector_add(uint8_t size, vector_t a_vec[size], vector_t b_vec[size], vector_t a_plus_b_vec[size])</div><div class="ttdoc">Compute the addition of two vectors.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00104">vector.c:104</a></div></div>
+<div class="ttc" id="avector_8h_html"><div class="ttname"><a href="vector_8h.html">vector.h</a></div><div class="ttdoc">Vector computations.</div></div>
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+<a href="#func-members">Functions</a> </div>
+ <div class="headertitle">
+<div class="title">levenberg_marquardt.h File Reference<div class="ingroups"><a class="el" href="group__non__linear__algebra.html">NON_LINEAR_ALGEBRA</a> » <a class="el" href="group__optimization.html">OPTIMIZATION</a></div></div> </div>
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+<div class="contents">
+
+<p>Implement the Levenberg–Marquardt (LVM) algorithm.
+<a href="#details">More...</a></p>
+<div class="textblock"><code>#include <inttypes.h></code><br />
+<code>#include "<a class="el" href="matrix_8h_source.html">matrix.h</a>"</code><br />
+<code>#include "<a class="el" href="vector_8h_source.html">vector.h</a>"</code><br />
+</div>
+<p><a href="levenberg__marquardt_8h_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a2a72b2b6be15a9998b61a9c0097e3d5f"><td class="memItemLeft" align="right" valign="top">uint8_t </td><td class="memItemRight" valign="bottom"><a class="el" href="levenberg__marquardt_8h.html#a2a72b2b6be15a9998b61a9c0097e3d5f">opt_levenberg_marquardt</a> (uint8_t f_length, uint8_t n, <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x0_vec[n], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> data_vec[f_length], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> eps, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> tau, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> beta0, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> beta1, uint8_t max_iter_num, <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> est_x_vec[n], void(*get_f_error)(<a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x0_vec[], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> data_vec[], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> f_vec[]), void(*get_jacobian)(<a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x0_vec[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J[][n]))</td></tr>
+<tr class="memdesc:a2a72b2b6be15a9998b61a9c0097e3d5f"><td class="mdescLeft"> </td><td class="mdescRight">Implements the Levenberg–Marquardt (LVM) algorithm. <a href="levenberg__marquardt_8h.html#a2a72b2b6be15a9998b61a9c0097e3d5f">More...</a><br /></td></tr>
+<tr class="separator:a2a72b2b6be15a9998b61a9c0097e3d5f"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a46fb5a9d6d185ff7f98c9cf34b56e34f"><td class="memItemLeft" align="right" valign="top"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="levenberg__marquardt_8h.html#a46fb5a9d6d185ff7f98c9cf34b56e34f">opt_levenberg_marquardt_get_mu0</a> (uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> tau, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> JTJ[][n])</td></tr>
+<tr class="memdesc:a46fb5a9d6d185ff7f98c9cf34b56e34f"><td class="mdescLeft"> </td><td class="mdescRight">Compute the initial value <img class="formulaInl" alt="$ \mu_0 $" src="form_57.png"/> of the Levenberg–Marquardt (LVM) algorithm. <a href="levenberg__marquardt_8h.html#a46fb5a9d6d185ff7f98c9cf34b56e34f">More...</a><br /></td></tr>
+<tr class="separator:a46fb5a9d6d185ff7f98c9cf34b56e34f"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Implement the Levenberg–Marquardt (LVM) algorithm. </p>
+<dl class="section note"><dt>Note</dt><dd>This function is generally implemented.</dd></dl>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd>
+<dd>
+Naouar Guerchali </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="levenberg__marquardt_8h_source.html">levenberg_marquardt.h</a>.</p>
+</div><h2 class="groupheader">Function Documentation</h2>
+<a id="a2a72b2b6be15a9998b61a9c0097e3d5f"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a2a72b2b6be15a9998b61a9c0097e3d5f">◆ </a></span>opt_levenberg_marquardt()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">uint8_t opt_levenberg_marquardt </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>f_length</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>x0_vec</em>[n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>data_vec</em>[f_length], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>eps</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>tau</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>beta0</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>beta1</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>max_iter_num</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>est_x_vec</em>[n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">void(*)(<a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x0_vec[], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> data_vec[], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> f_vec[]) </td>
+ <td class="paramname"><em>get_f_error</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">void(*)(<a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x0_vec[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J[][n]) </td>
+ <td class="paramname"><em>get_jacobian</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Implements the Levenberg–Marquardt (LVM) algorithm. </p>
+<p>The user should provide pointers to the error and Jacobian functions. </p><dl class="section note"><dt>Note</dt><dd>This function is generally implemented.</dd></dl>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">f_length</td><td>length of the error functions vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>length of the start vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">x0_vec[]</td><td>start vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">data_vec[]</td><td>data vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">eps</td><td>accuracy bound. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">tau</td><td><img class="formulaInl" alt="$ \tau $" src="form_52.png"/> factor. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">beta0</td><td><img class="formulaInl" alt="$ \beta_0 $" src="form_53.png"/> factor. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">beta1</td><td><img class="formulaInl" alt="$ \beta_1 $" src="form_54.png"/> factor. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">max_iter_num</td><td>maximal iteration number of the LVM algorithm. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">est_x_vec[]</td><td>estimated (optimized) vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">(*get_f_error)</td><td>pointer to the error function. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">(*get_jacobian)</td><td>pointer to the Jacobian matrix.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>required iteration number. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="levenberg__marquardt_8c_source.html#l00143">143</a> of file <a class="el" href="levenberg__marquardt_8c_source.html">levenberg_marquardt.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8c_source.html#l00353">matrix_add_to_diag()</a>, <a class="el" href="matrix_8c_source.html#l00602">matrix_mul_scalar()</a>, <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>, <a class="el" href="matrix_8c_source.html#l00545">matrix_trans_mul_itself()</a>, <a class="el" href="matrix_8c_source.html#l00511">matrix_trans_mul_vec()</a>, <a class="el" href="levenberg__marquardt_8c_source.html#l00053">opt_levenberg_marquardt_correction()</a>, <a class="el" href="levenberg__marquardt_8c_source.html#l00227">opt_levenberg_marquardt_get_mu0()</a>, <a class="el" href="solve_8c_source.html#l00077">solve_householder()</a>, <a class="el" href="vector_8c_source.html#l00104">vector_add()</a>, <a class="el" href="vector_8c_source.html#l00037">vector_copy()</a>, <a class="el" href="vector_8c_source.html#l00042">vector_get_norm2()</a>, and <a class="el" href="vector_8h_source.html#l00033">vector_t</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="optimization__test_8c_source.html#l00264">optimization_exponential_data_test()</a>, <a class="el" href="optimization__test_8c_source.html#l00376">optimization_sinusoidal_data_test()</a>, and <a class="el" href="optimization__test_8c_source.html#l00101">optimization_test()</a>.</p>
+
+</div>
+</div>
+<a id="a46fb5a9d6d185ff7f98c9cf34b56e34f"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a46fb5a9d6d185ff7f98c9cf34b56e34f">◆ </a></span>opt_levenberg_marquardt_get_mu0()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> opt_levenberg_marquardt_get_mu0 </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>tau</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>JTJ</em>[][n] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute the initial value <img class="formulaInl" alt="$ \mu_0 $" src="form_57.png"/> of the Levenberg–Marquardt (LVM) algorithm. </p>
+<p>The user should provide a pointer to the matrix <img class="formulaInl" alt="$ J_f^{T} J_{f} $" src="form_40.png"/>.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix <img class="formulaInl" alt="$J_f^T J_f$" src="form_61.png"/>. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">tau</td><td><img class="formulaInl" alt="$ \tau $" src="form_52.png"/> factor. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">JTJ[][]</td><td>pointer to the matrix <img class="formulaInl" alt="$J_f^T J_f$" src="form_61.png"/>.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>parameter <img class="formulaInl" alt="$ \rho_{\mu} $" src="form_56.png"/> </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="levenberg__marquardt_8c_source.html#l00227">227</a> of file <a class="el" href="levenberg__marquardt_8c_source.html">levenberg_marquardt.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="levenberg__marquardt_8c_source.html#l00143">opt_levenberg_marquardt()</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
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+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
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+ <li class="navelem"><a class="el" href="dir_943f05c9b1835bace55f73b49add4eb5.html">non_linear_algebra</a></li><li class="navelem"><a class="el" href="dir_a849c678c2f9059c847e621780a4cff4.html">optimization</a></li><li class="navelem"><a class="el" href="dir_c50cc60bf0f01dd8b56a0a31510e7489.html">include</a></li><li class="navelem"><a class="el" href="levenberg__marquardt_8h.html">levenberg_marquardt.h</a></li>
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diff --git a/doc/doxygen/html/levenberg__marquardt_8h.js b/doc/doxygen/html/levenberg__marquardt_8h.js
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+ [ "opt_levenberg_marquardt_get_mu0", "levenberg__marquardt_8h.html#a46fb5a9d6d185ff7f98c9cf34b56e34f", null ]
+];
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+<div class="title">levenberg_marquardt.h</div> </div>
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+<div class="contents">
+<a href="levenberg__marquardt_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="preprocessor">#ifndef LEVENBERG_MARQUARDT_H_</span></div>
+<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#define LEVENBERG_MARQUARDT_H_</span></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="preprocessor">#include <inttypes.h></span></div>
+<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>  </div>
+<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="preprocessor">#include "<a class="code" href="matrix_8h.html">matrix.h</a>"</span></div>
+<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="preprocessor">#include "<a class="code" href="vector_8h.html">vector.h</a>"</span></div>
+<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  </div>
+<div class="line"><a name="l00053"></a><span class="lineno"> 53</span> uint8_t <a class="code" href="levenberg__marquardt_8h.html#a2a72b2b6be15a9998b61a9c0097e3d5f">opt_levenberg_marquardt</a>(uint8_t f_length, uint8_t n,</div>
+<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x0_vec[n],</div>
+<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> data_vec[f_length],</div>
+<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> eps, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> tau, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> beta0,</div>
+<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> beta1,</div>
+<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  uint8_t max_iter_num,</div>
+<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> est_x_vec[n],</div>
+<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  <span class="keywordtype">void</span> (*get_f_error)(<a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x0_vec[],</div>
+<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> data_vec[],</div>
+<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> f_vec[]),</div>
+<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  <span class="keywordtype">void</span> (*get_jacobian)(<a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x0_vec[],</div>
+<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J[][n])</div>
+<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  );</div>
+<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  </div>
+<div class="line"><a name="l00078"></a><span class="lineno"> 78</span> <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> <a class="code" href="levenberg__marquardt_8h.html#a46fb5a9d6d185ff7f98c9cf34b56e34f">opt_levenberg_marquardt_get_mu0</a>(uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> tau,</div>
+<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> JTJ[][n]);</div>
+<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  </div>
+<div class="line"><a name="l00081"></a><span class="lineno"> 81</span> <span class="preprocessor">#endif </span><span class="comment">/* LEVENBERG_MARQUARDT_H_ */</span><span class="preprocessor"></span></div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="alevenberg__marquardt_8h_html_a46fb5a9d6d185ff7f98c9cf34b56e34f"><div class="ttname"><a href="levenberg__marquardt_8h.html#a46fb5a9d6d185ff7f98c9cf34b56e34f">opt_levenberg_marquardt_get_mu0</a></div><div class="ttdeci">matrix_t opt_levenberg_marquardt_get_mu0(uint8_t n, matrix_t tau, matrix_t JTJ[][n])</div><div class="ttdoc">Compute the initial value of the Levenberg–Marquardt (LVM) algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="levenberg__marquardt_8c_source.html#l00227">levenberg_marquardt.c:227</a></div></div>
+<div class="ttc" id="avector_8h_html_acb41430bc5720dda7d1c45d91a0b0221"><div class="ttname"><a href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a></div><div class="ttdeci">#define vector_t</div><div class="ttdoc">Define the data type of the vector elements.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8h_source.html#l00033">vector.h:33</a></div></div>
+<div class="ttc" id="amatrix_8h_html"><div class="ttname"><a href="matrix_8h.html">matrix.h</a></div><div class="ttdoc">Matrix computations.</div></div>
+<div class="ttc" id="alevenberg__marquardt_8h_html_a2a72b2b6be15a9998b61a9c0097e3d5f"><div class="ttname"><a href="levenberg__marquardt_8h.html#a2a72b2b6be15a9998b61a9c0097e3d5f">opt_levenberg_marquardt</a></div><div class="ttdeci">uint8_t opt_levenberg_marquardt(uint8_t f_length, uint8_t n, vector_t x0_vec[n], vector_t data_vec[f_length], matrix_t eps, matrix_t tau, matrix_t beta0, matrix_t beta1, uint8_t max_iter_num, vector_t est_x_vec[n], void(*get_f_error)(vector_t x0_vec[], vector_t data_vec[], vector_t f_vec[]), void(*get_jacobian)(vector_t x0_vec[], matrix_t J[][n]))</div><div class="ttdoc">Implements the Levenberg–Marquardt (LVM) algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="levenberg__marquardt_8c_source.html#l00143">levenberg_marquardt.c:143</a></div></div>
+<div class="ttc" id="amatrix_8h_html_af38ac6b76d645fea9abd6caeb4d9dd31"><div class="ttname"><a href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a></div><div class="ttdeci">#define matrix_t</div><div class="ttdoc">Define the data type of the matrix elements.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8h_source.html#l00038">matrix.h:38</a></div></div>
+<div class="ttc" id="avector_8h_html"><div class="ttname"><a href="vector_8h.html">vector.h</a></div><div class="ttdoc">Vector computations.</div></div>
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+<a href="#func-members">Functions</a> </div>
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+<div class="title">loc_gauss_newton.c File Reference</div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Implement the Gauss–Newton algorithm.
+<a href="#details">More...</a></p>
+<div class="textblock"><code>#include <stdio.h></code><br />
+<code>#include "<a class="el" href="utils_8h_source.html">utils.h</a>"</code><br />
+<code>#include "<a class="el" href="matrix_8h_source.html">matrix.h</a>"</code><br />
+<code>#include "<a class="el" href="vector_8h_source.html">vector.h</a>"</code><br />
+<code>#include "<a class="el" href="moore__penrose__pseudo__inverse_8h_source.html">moore_penrose_pseudo_inverse.h</a>"</code><br />
+</div>
+<p><a href="loc__gauss__newton_8c_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:aaba1f25cf23d5529e4fc3bca22f8784e"><td class="memItemLeft" align="right" valign="top">uint8_t </td><td class="memItemRight" valign="bottom"><a class="el" href="loc__gauss__newton_8c.html#aaba1f25cf23d5529e4fc3bca22f8784e">loc_gauss_newton</a> (uint8_t ref_points_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_points_matrix[ref_points_num][3], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> start_pos[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> measured_data_vec[ref_points_num], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> eps, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> fmin, uint8_t max_iter_num, <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> est_pos[3], void(*f_i)(uint8_t ref_point_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_mat[ref_points_num][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> d_vec[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> f_vec[]), void(*jacobian_get_JTJ)(uint8_t ref_points_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_matrix[ref_points_num][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> data_vec[ref_points_num], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> JTJ[3][3]), void(*jacobian_get_JTf)(uint8_t ref_points_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_matrix[ref_points_num][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> data_vec[ref_points_num], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> JTf[3]))</td></tr>
+<tr class="memdesc:aaba1f25cf23d5529e4fc3bca22f8784e"><td class="mdescLeft"> </td><td class="mdescRight">Implements the modified Gauss–Newton algorithm. <a href="loc__gauss__newton_8c.html#aaba1f25cf23d5529e4fc3bca22f8784e">More...</a><br /></td></tr>
+<tr class="separator:aaba1f25cf23d5529e4fc3bca22f8784e"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Implement the Gauss–Newton algorithm. </p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd>
+<dd>
+Abdelmoumen Norrdine <a href="#" onclick="location.href='mai'+'lto:'+'a.n'+'or'+'rdi'+'ne'+'@go'+'og'+'lem'+'ai'+'l.c'+'om'; return false;">a.nor<span style="display: none;">.nosp@m.</span>rdin<span style="display: none;">.nosp@m.</span>e@goo<span style="display: none;">.nosp@m.</span>glem<span style="display: none;">.nosp@m.</span>ail.c<span style="display: none;">.nosp@m.</span>om</a> </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="loc__gauss__newton_8c_source.html">loc_gauss_newton.c</a>.</p>
+</div><h2 class="groupheader">Function Documentation</h2>
+<a id="aaba1f25cf23d5529e4fc3bca22f8784e"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#aaba1f25cf23d5529e4fc3bca22f8784e">◆ </a></span>loc_gauss_newton()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">uint8_t loc_gauss_newton </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>ref_points_num</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>ref_points_matrix</em>[ref_points_num][3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>start_pos</em>[3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>measured_data_vec</em>[ref_points_num], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>eps</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>fmin</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>max_iter_num</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>est_pos</em>[3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">void(*)(uint8_t ref_point_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_mat[ref_points_num][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> d_vec[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> f_vec[]) </td>
+ <td class="paramname"><em>f_i</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">void(*)(uint8_t ref_points_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_matrix[ref_points_num][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> data_vec[ref_points_num], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> JTJ[3][3]) </td>
+ <td class="paramname"><em>jacobian_get_JTJ</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">void(*)(uint8_t ref_points_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_matrix[ref_points_num][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> data_vec[ref_points_num], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> JTf[3]) </td>
+ <td class="paramname"><em>jacobian_get_JTf</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Implements the modified Gauss–Newton algorithm. </p>
+<p>The user should provide pointers to the error and Jacobian functions. </p><dl class="section note"><dt>Note</dt><dd>This function is optimized for localization algorithms.</dd></dl>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">ref_points_num</td><td>number of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">ref_points_matrix[][]</td><td>three-dimensional coordinates of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">start_pos[]</td><td>start (approximate) position. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">measured_data_vec[]</td><td>pointer to the measured data. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">eps</td><td>accuracy bound. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">fmin</td><td>termination tolerance on the error function. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">max_iter_num</td><td>maximal iteration number of the Gauss-Newton algorithm. </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">est_pos[]</td><td>estimated (optimized) position. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">(*f_i)</td><td>pointer to the error function. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">(*jacobian_get_JTJ)</td><td>pointer to the function that calculates the <img class="formulaInl" alt="$ J_f^{T} J_{f} $" src="form_40.png"/> matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">(*jacobian_get_JTf)</td><td>pointer to the function that calculates the <img class="formulaInl" alt="$ J_f^{T} \vec{f} $" src="form_38.png"/> vector.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>required iteration number. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="loc__gauss__newton_8c_source.html#l00030">30</a> of file <a class="el" href="loc__gauss__newton_8c_source.html">loc_gauss_newton.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8c_source.html#l00434">matrix_mul_vec()</a>, <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>, <a class="el" href="moore__penrose__pseudo__inverse_8c_source.html#l00038">moore_penrose_get_pinv()</a>, <a class="el" href="utils_8c_source.html#l00055">utils_max()</a>, <a class="el" href="vector_8c_source.html#l00037">vector_copy()</a>, <a class="el" href="vector_8c_source.html#l00163">vector_get_euclidean_distance()</a>, <a class="el" href="vector_8c_source.html#l00042">vector_get_norm2()</a>, and <a class="el" href="vector_8c_source.html#l00094">vector_sub()</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="position__optimization__test_8c_source.html#l00037">position_optimization_test()</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
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+ <ul>
+ <li class="navelem"><a class="el" href="dir_ca7b3fe3a5c68321cdadecc73cd5d1a0.html">localization</a></li><li class="navelem"><a class="el" href="dir_6b02df0bd0782e84dd3cd412549b0acc.html">position_optimization</a></li><li class="navelem"><a class="el" href="loc__gauss__newton_8c.html">loc_gauss_newton.c</a></li>
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+<div class="title">loc_gauss_newton.c</div> </div>
+</div><!--header-->
+<div class="contents">
+<a href="loc__gauss__newton_8c.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="preprocessor">#include <stdio.h></span></div>
+<div class="line"><a name="l00024"></a><span class="lineno"> 24</span>  </div>
+<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#include "<a class="code" href="utils_8h.html">utils.h</a>"</span></div>
+<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="preprocessor">#include "<a class="code" href="matrix_8h.html">matrix.h</a>"</span></div>
+<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="preprocessor">#include "<a class="code" href="vector_8h.html">vector.h</a>"</span></div>
+<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="preprocessor">#include "<a class="code" href="moore__penrose__pseudo__inverse_8h.html">moore_penrose_pseudo_inverse.h</a>"</span></div>
+<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>  </div>
+<div class="line"><a name="l00030"></a><span class="lineno"><a class="line" href="loc__gauss__newton_8c.html#aaba1f25cf23d5529e4fc3bca22f8784e"> 30</a></span> uint8_t <a class="code" href="loc__gauss__newton_8c.html#aaba1f25cf23d5529e4fc3bca22f8784e">loc_gauss_newton</a>(uint8_t ref_points_num,</div>
+<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_points_matrix[ref_points_num][3],</div>
+<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> start_pos[3],</div>
+<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> measured_data_vec[ref_points_num],</div>
+<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> eps, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> fmin, uint8_t max_iter_num,</div>
+<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> est_pos[3],</div>
+<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  <span class="keywordtype">void</span> (*f_i)(uint8_t ref_point_num,</div>
+<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_mat[ref_points_num][3],</div>
+<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> d_vec[],</div>
+<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> f_vec[]),</div>
+<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>  <span class="keywordtype">void</span> (*jacobian_get_JTJ)(uint8_t ref_points_num,</div>
+<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_matrix[ref_points_num][3],</div>
+<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3],</div>
+<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> data_vec[ref_points_num],</div>
+<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> JTJ[3][3]),</div>
+<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  <span class="keywordtype">void</span> (*jacobian_get_JTf)(uint8_t ref_points_num,</div>
+<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_matrix[ref_points_num][3],</div>
+<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3],</div>
+<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> data_vec[ref_points_num],</div>
+<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> JTf[3])</div>
+<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  )</div>
+<div class="line"><a name="l00051"></a><span class="lineno"> 51</span> {</div>
+<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  </div>
+<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> JT_J[3][3];</div>
+<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> JT_f[3];</div>
+<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> f_vec[ref_points_num];</div>
+<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> f_error;</div>
+<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> pinv_JTJ_mat[3][3];</div>
+<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> correction_vec[3];</div>
+<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> pos[3];</div>
+<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> next_pos[3];</div>
+<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> max_error, min_error;</div>
+<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> step;</div>
+<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  uint8_t iter_num;</div>
+<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  </div>
+<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  f_i(ref_points_num, ref_points_matrix, start_pos, measured_data_vec,</div>
+<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  f_vec);</div>
+<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  f_error = <a class="code" href="vector_8h.html#a4cfc452fdff3e32a601ccff140cd9ae6">vector_get_norm2</a>(ref_points_num, f_vec);</div>
+<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  max_error = f_error;</div>
+<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  min_error = max_error;</div>
+<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  step = eps;</div>
+<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  </div>
+<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  <a class="code" href="vector_8h.html#ae9d3378f23ba835c727245b434b8a7f6">vector_copy</a>(3, start_pos, pos);</div>
+<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  <a class="code" href="vector_8h.html#ae9d3378f23ba835c727245b434b8a7f6">vector_copy</a>(3, start_pos, est_pos);</div>
+<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  iter_num = 0;</div>
+<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  <span class="keywordflow">while</span> ((step >= eps) && (iter_num < max_iter_num) && (f_error > fmin)) {</div>
+<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  <span class="comment">/*</span></div>
+<div class="line"><a name="l00077"></a><span class="lineno"> 77</span> <span class="comment"> * Compute then correction terms & next positions</span></div>
+<div class="line"><a name="l00078"></a><span class="lineno"> 78</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  </div>
+<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  <span class="comment">//JTJ</span></div>
+<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  jacobian_get_JTJ(ref_points_num, ref_points_matrix, pos,</div>
+<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  measured_data_vec, JT_J);</div>
+<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  </div>
+<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  <span class="comment">//JTf</span></div>
+<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  jacobian_get_JTf(ref_points_num, ref_points_matrix, pos,</div>
+<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  measured_data_vec, JT_f);</div>
+<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  </div>
+<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  <span class="comment">//solve: J'J*s = -J'*f</span></div>
+<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  <a class="code" href="moore__penrose__pseudo__inverse_8h.html#a0ddd46446f074a0d38c04157686f5fce">moore_penrose_get_pinv</a>(3, 3, JT_J, pinv_JTJ_mat);</div>
+<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  <span class="comment">//s = (J'J)\J'*f</span></div>
+<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  <a class="code" href="matrix_8h.html#ad610bcce232c69ca302550f57b1ad9fb">matrix_mul_vec</a>(3, 3, pinv_JTJ_mat, JT_f, correction_vec);</div>
+<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  </div>
+<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  <span class="comment">// x = x - s</span></div>
+<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  <a class="code" href="vector_8h.html#a3bbd999b10064c2ede2bd427aa040b63">vector_sub</a>(3, pos, correction_vec, next_pos);</div>
+<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  </div>
+<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  <span class="comment">//next step</span></div>
+<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  step = <a class="code" href="vector_8h.html#abbb6bf046e47a8634c15c43a508cacb9">vector_get_euclidean_distance</a>(3, pos, next_pos);</div>
+<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  </div>
+<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  <span class="comment">// pos = next_pos</span></div>
+<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  <a class="code" href="vector_8h.html#ae9d3378f23ba835c727245b434b8a7f6">vector_copy</a>(3, next_pos, pos);</div>
+<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  </div>
+<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  <span class="comment">//error vector</span></div>
+<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  f_i(ref_points_num, ref_points_matrix, pos, measured_data_vec,</div>
+<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  f_vec);</div>
+<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  f_error = <a class="code" href="vector_8h.html#a4cfc452fdff3e32a601ccff140cd9ae6">vector_get_norm2</a>(ref_points_num, f_vec);</div>
+<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  </div>
+<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  <span class="keywordflow">if</span> (min_error > f_error) { <span class="comment">//store the position with the minimum error</span></div>
+<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  <a class="code" href="vector_8h.html#ae9d3378f23ba835c727245b434b8a7f6">vector_copy</a>(3, pos, est_pos);</div>
+<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  min_error = f_error; <span class="comment">// update min_error</span></div>
+<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  }</div>
+<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  </div>
+<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  max_error = <a class="code" href="utils_8h.html#a0ae8ea233ea6c519cd0434f8c5bde5e5">utils_max</a>(f_error, max_error); <span class="comment">// update max_error</span></div>
+<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  iter_num++;</div>
+<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  <span class="keywordflow">if</span> ((max_error - min_error) > 10) {</div>
+<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  <span class="keywordflow">break</span>;</div>
+<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  }</div>
+<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  </div>
+<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  } <span class="comment">//while</span></div>
+<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  </div>
+<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  <span class="keywordflow">return</span> iter_num;</div>
+<div class="line"><a name="l00121"></a><span class="lineno"> 121</span> }</div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="amoore__penrose__pseudo__inverse_8h_html_a0ddd46446f074a0d38c04157686f5fce"><div class="ttname"><a href="moore__penrose__pseudo__inverse_8h.html#a0ddd46446f074a0d38c04157686f5fce">moore_penrose_get_pinv</a></div><div class="ttdeci">int8_t moore_penrose_get_pinv(uint8_t m, uint8_t n, matrix_t A[m][n], matrix_t pinv_A[n][m])</div><div class="ttdoc">Calculate the Moore–Penrose inverse of a rectangular matrix.</div><div class="ttdef"><b>Definition:</b> <a href="moore__penrose__pseudo__inverse_8c_source.html#l00038">moore_penrose_pseudo_inverse.c:38</a></div></div>
+<div class="ttc" id="avector_8h_html_a4cfc452fdff3e32a601ccff140cd9ae6"><div class="ttname"><a href="vector_8h.html#a4cfc452fdff3e32a601ccff140cd9ae6">vector_get_norm2</a></div><div class="ttdeci">vector_t vector_get_norm2(uint8_t length, vector_t arr[])</div><div class="ttdoc">Compute the 2-norm norm of a vector.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00042">vector.c:42</a></div></div>
+<div class="ttc" id="amatrix_8h_html_ad610bcce232c69ca302550f57b1ad9fb"><div class="ttname"><a href="matrix_8h.html#ad610bcce232c69ca302550f57b1ad9fb">matrix_mul_vec</a></div><div class="ttdeci">void matrix_mul_vec(uint8_t m, uint8_t n, matrix_t matrix[m][n], matrix_t vec[n], matrix_t dst_arr[m])</div><div class="ttdoc">Compute the multiplication of a matrix with a column vector.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00434">matrix.c:434</a></div></div>
+<div class="ttc" id="avector_8h_html_abbb6bf046e47a8634c15c43a508cacb9"><div class="ttname"><a href="vector_8h.html#abbb6bf046e47a8634c15c43a508cacb9">vector_get_euclidean_distance</a></div><div class="ttdeci">vector_t vector_get_euclidean_distance(uint8_t length, vector_t vec1[], vector_t vec2[])</div><div class="ttdoc">Compute the Euclidean distance between two vectors.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00163">vector.c:163</a></div></div>
+<div class="ttc" id="avector_8h_html_acb41430bc5720dda7d1c45d91a0b0221"><div class="ttname"><a href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a></div><div class="ttdeci">#define vector_t</div><div class="ttdoc">Define the data type of the vector elements.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8h_source.html#l00033">vector.h:33</a></div></div>
+<div class="ttc" id="amatrix_8h_html"><div class="ttname"><a href="matrix_8h.html">matrix.h</a></div><div class="ttdoc">Matrix computations.</div></div>
+<div class="ttc" id="amoore__penrose__pseudo__inverse_8h_html"><div class="ttname"><a href="moore__penrose__pseudo__inverse_8h.html">moore_penrose_pseudo_inverse.h</a></div><div class="ttdoc">Moore–Penrose algorithm to compute the pseudo-inverse of a matrix.</div></div>
+<div class="ttc" id="autils_8h_html"><div class="ttname"><a href="utils_8h.html">utils.h</a></div><div class="ttdoc">Utilities for linear algebra.</div></div>
+<div class="ttc" id="autils_8h_html_a0ae8ea233ea6c519cd0434f8c5bde5e5"><div class="ttname"><a href="utils_8h.html#a0ae8ea233ea6c519cd0434f8c5bde5e5">utils_max</a></div><div class="ttdeci">double utils_max(double a, double b)</div><div class="ttdoc">Returns the greater of two real numbers.</div><div class="ttdef"><b>Definition:</b> <a href="utils_8c_source.html#l00055">utils.c:55</a></div></div>
+<div class="ttc" id="avector_8h_html_ae9d3378f23ba835c727245b434b8a7f6"><div class="ttname"><a href="vector_8h.html#ae9d3378f23ba835c727245b434b8a7f6">vector_copy</a></div><div class="ttdeci">void vector_copy(uint8_t size, vector_t src_arr[], vector_t dest_arr[])</div><div class="ttdoc">Copy the elements of the source vector to the destination vector.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00037">vector.c:37</a></div></div>
+<div class="ttc" id="aloc__gauss__newton_8c_html_aaba1f25cf23d5529e4fc3bca22f8784e"><div class="ttname"><a href="loc__gauss__newton_8c.html#aaba1f25cf23d5529e4fc3bca22f8784e">loc_gauss_newton</a></div><div class="ttdeci">uint8_t loc_gauss_newton(uint8_t ref_points_num, matrix_t ref_points_matrix[ref_points_num][3], vector_t start_pos[3], matrix_t measured_data_vec[ref_points_num], matrix_t eps, matrix_t fmin, uint8_t max_iter_num, vector_t est_pos[3], void(*f_i)(uint8_t ref_point_num, matrix_t ref_point_mat[ref_points_num][3], matrix_t point[3], matrix_t d_vec[], matrix_t f_vec[]), void(*jacobian_get_JTJ)(uint8_t ref_points_num, matrix_t ref_point_matrix[ref_points_num][3], matrix_t point[3], matrix_t data_vec[ref_points_num], matrix_t JTJ[3][3]), void(*jacobian_get_JTf)(uint8_t ref_points_num, matrix_t ref_point_matrix[ref_points_num][3], matrix_t point[3], matrix_t data_vec[ref_points_num], matrix_t JTf[3]))</div><div class="ttdoc">Implements the modified Gauss–Newton algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="loc__gauss__newton_8c_source.html#l00030">loc_gauss_newton.c:30</a></div></div>
+<div class="ttc" id="amatrix_8h_html_af38ac6b76d645fea9abd6caeb4d9dd31"><div class="ttname"><a href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a></div><div class="ttdeci">#define matrix_t</div><div class="ttdoc">Define the data type of the matrix elements.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8h_source.html#l00038">matrix.h:38</a></div></div>
+<div class="ttc" id="avector_8h_html"><div class="ttname"><a href="vector_8h.html">vector.h</a></div><div class="ttdoc">Vector computations.</div></div>
+<div class="ttc" id="avector_8h_html_a3bbd999b10064c2ede2bd427aa040b63"><div class="ttname"><a href="vector_8h.html#a3bbd999b10064c2ede2bd427aa040b63">vector_sub</a></div><div class="ttdeci">void vector_sub(uint8_t size, vector_t a_vec[], vector_t b_vec[], vector_t a_minus_b[])</div><div class="ttdoc">Compute the subtraction of two vectors.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00094">vector.c:94</a></div></div>
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+
+<div class="header">
+ <div class="summary">
+<a href="#func-members">Functions</a> </div>
+ <div class="headertitle">
+<div class="title">loc_gauss_newton.h File Reference<div class="ingroups"><a class="el" href="group__localization.html">LOCALIZATION</a> » <a class="el" href="group__position__optimization.html">POSITION_OPTIMIZATION</a></div></div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Implement the Gauss–Newton algorithm for position optimization.
+<a href="#details">More...</a></p>
+<div class="textblock"><code>#include <inttypes.h></code><br />
+<code>#include "<a class="el" href="matrix_8h_source.html">matrix.h</a>"</code><br />
+<code>#include "<a class="el" href="vector_8h_source.html">vector.h</a>"</code><br />
+</div>
+<p><a href="loc__gauss__newton_8h_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:aaba1f25cf23d5529e4fc3bca22f8784e"><td class="memItemLeft" align="right" valign="top">uint8_t </td><td class="memItemRight" valign="bottom"><a class="el" href="loc__gauss__newton_8h.html#aaba1f25cf23d5529e4fc3bca22f8784e">loc_gauss_newton</a> (uint8_t ref_points_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_points_matrix[ref_points_num][3], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> start_pos[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> measured_data_vec[ref_points_num], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> eps, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> fmin, uint8_t max_iter_num, <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> est_pos[3], void(*f_i)(uint8_t ref_point_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_mat[ref_points_num][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> d_vec[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> f_vec[]), void(*jacobian_get_JTJ)(uint8_t ref_points_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_matrix[ref_points_num][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> data_vec[ref_points_num], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> JTJ[3][3]), void(*jacobian_get_JTf)(uint8_t ref_points_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_matrix[ref_points_num][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> data_vec[ref_points_num], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> JTf[3]))</td></tr>
+<tr class="memdesc:aaba1f25cf23d5529e4fc3bca22f8784e"><td class="mdescLeft"> </td><td class="mdescRight">Implements the modified Gauss–Newton algorithm. <a href="loc__gauss__newton_8h.html#aaba1f25cf23d5529e4fc3bca22f8784e">More...</a><br /></td></tr>
+<tr class="separator:aaba1f25cf23d5529e4fc3bca22f8784e"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Implement the Gauss–Newton algorithm for position optimization. </p>
+<dl class="section note"><dt>Note</dt><dd>This function is adapted for localization algorithms.</dd></dl>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd>
+<dd>
+Abdelmoumen Norrdine <a href="#" onclick="location.href='mai'+'lto:'+'a.n'+'or'+'rdi'+'ne'+'@go'+'og'+'lem'+'ai'+'l.c'+'om'; return false;">a.nor<span style="display: none;">.nosp@m.</span>rdin<span style="display: none;">.nosp@m.</span>e@goo<span style="display: none;">.nosp@m.</span>glem<span style="display: none;">.nosp@m.</span>ail.c<span style="display: none;">.nosp@m.</span>om</a> </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="loc__gauss__newton_8h_source.html">loc_gauss_newton.h</a>.</p>
+</div><h2 class="groupheader">Function Documentation</h2>
+<a id="aaba1f25cf23d5529e4fc3bca22f8784e"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#aaba1f25cf23d5529e4fc3bca22f8784e">◆ </a></span>loc_gauss_newton()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">uint8_t loc_gauss_newton </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>ref_points_num</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>ref_points_matrix</em>[ref_points_num][3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>start_pos</em>[3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>measured_data_vec</em>[ref_points_num], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>eps</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>fmin</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>max_iter_num</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>est_pos</em>[3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">void(*)(uint8_t ref_point_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_mat[ref_points_num][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> d_vec[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> f_vec[]) </td>
+ <td class="paramname"><em>f_i</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">void(*)(uint8_t ref_points_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_matrix[ref_points_num][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> data_vec[ref_points_num], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> JTJ[3][3]) </td>
+ <td class="paramname"><em>jacobian_get_JTJ</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">void(*)(uint8_t ref_points_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_matrix[ref_points_num][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> data_vec[ref_points_num], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> JTf[3]) </td>
+ <td class="paramname"><em>jacobian_get_JTf</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Implements the modified Gauss–Newton algorithm. </p>
+<p>The user should provide pointers to the error and Jacobian functions. </p><dl class="section note"><dt>Note</dt><dd>This function is optimized for localization algorithms.</dd></dl>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">ref_points_num</td><td>number of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">ref_points_matrix[][]</td><td>three-dimensional coordinates of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">start_pos[]</td><td>start (approximate) position. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">measured_data_vec[]</td><td>pointer to the measured data. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">eps</td><td>accuracy bound. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">fmin</td><td>termination tolerance on the error function. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">max_iter_num</td><td>maximal iteration number of the Gauss-Newton algorithm. </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">est_pos[]</td><td>estimated (optimized) position. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">(*f_i)</td><td>pointer to the error function. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">(*jacobian_get_JTJ)</td><td>pointer to the function that calculates the <img class="formulaInl" alt="$ J_f^{T} J_{f} $" src="form_40.png"/> matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">(*jacobian_get_JTf)</td><td>pointer to the function that calculates the <img class="formulaInl" alt="$ J_f^{T} \vec{f} $" src="form_38.png"/> vector.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>required iteration number. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="loc__gauss__newton_8c_source.html#l00030">30</a> of file <a class="el" href="loc__gauss__newton_8c_source.html">loc_gauss_newton.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8c_source.html#l00434">matrix_mul_vec()</a>, <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>, <a class="el" href="moore__penrose__pseudo__inverse_8c_source.html#l00038">moore_penrose_get_pinv()</a>, <a class="el" href="utils_8c_source.html#l00055">utils_max()</a>, <a class="el" href="vector_8c_source.html#l00037">vector_copy()</a>, <a class="el" href="vector_8c_source.html#l00163">vector_get_euclidean_distance()</a>, <a class="el" href="vector_8c_source.html#l00042">vector_get_norm2()</a>, and <a class="el" href="vector_8c_source.html#l00094">vector_sub()</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="position__optimization__test_8c_source.html#l00037">position_optimization_test()</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
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+ <li class="navelem"><a class="el" href="dir_ca7b3fe3a5c68321cdadecc73cd5d1a0.html">localization</a></li><li class="navelem"><a class="el" href="dir_6b02df0bd0782e84dd3cd412549b0acc.html">position_optimization</a></li><li class="navelem"><a class="el" href="dir_05fcd006305b35cd419f9fa0533f5c7b.html">include</a></li><li class="navelem"><a class="el" href="loc__gauss__newton_8h.html">loc_gauss_newton.h</a></li>
+ <li class="footer">Generated by
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+<div class="title">loc_gauss_newton.h</div> </div>
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+<div class="contents">
+<a href="loc__gauss__newton_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="preprocessor">#ifndef LOC_GAUSS_NEWTON_H_</span></div>
+<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#define LOC_GAUSS_NEWTON_H_</span></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="preprocessor">#include <inttypes.h></span></div>
+<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>  </div>
+<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="preprocessor">#include "<a class="code" href="matrix_8h.html">matrix.h</a>"</span></div>
+<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="preprocessor">#include "<a class="code" href="vector_8h.html">vector.h</a>"</span></div>
+<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  </div>
+<div class="line"><a name="l00053"></a><span class="lineno"> 53</span> uint8_t <a class="code" href="loc__gauss__newton_8h.html#aaba1f25cf23d5529e4fc3bca22f8784e">loc_gauss_newton</a>(uint8_t ref_points_num,</div>
+<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_points_matrix[ref_points_num][3],</div>
+<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> start_pos[3],</div>
+<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> measured_data_vec[ref_points_num],</div>
+<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> eps, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> fmin, uint8_t max_iter_num,</div>
+<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> est_pos[3],</div>
+<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  <span class="keywordtype">void</span> (*f_i)(uint8_t ref_point_num,</div>
+<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_mat[ref_points_num][3],</div>
+<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> d_vec[],</div>
+<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> f_vec[]),</div>
+<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  <span class="keywordtype">void</span> (*jacobian_get_JTJ)(uint8_t ref_points_num,</div>
+<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_matrix[ref_points_num][3],</div>
+<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3],</div>
+<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> data_vec[ref_points_num],</div>
+<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> JTJ[3][3]),</div>
+<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  <span class="keywordtype">void</span> (*jacobian_get_JTf)(uint8_t ref_points_num,</div>
+<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_matrix[ref_points_num][3],</div>
+<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3],</div>
+<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> data_vec[ref_points_num],</div>
+<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> JTf[3])</div>
+<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  );</div>
+<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  </div>
+<div class="line"><a name="l00075"></a><span class="lineno"> 75</span> <span class="preprocessor">#endif </span><span class="comment">/* LOC_GAUSS_NEWTON_H_ */</span><span class="preprocessor"></span></div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="avector_8h_html_acb41430bc5720dda7d1c45d91a0b0221"><div class="ttname"><a href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a></div><div class="ttdeci">#define vector_t</div><div class="ttdoc">Define the data type of the vector elements.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8h_source.html#l00033">vector.h:33</a></div></div>
+<div class="ttc" id="amatrix_8h_html"><div class="ttname"><a href="matrix_8h.html">matrix.h</a></div><div class="ttdoc">Matrix computations.</div></div>
+<div class="ttc" id="aloc__gauss__newton_8h_html_aaba1f25cf23d5529e4fc3bca22f8784e"><div class="ttname"><a href="loc__gauss__newton_8h.html#aaba1f25cf23d5529e4fc3bca22f8784e">loc_gauss_newton</a></div><div class="ttdeci">uint8_t loc_gauss_newton(uint8_t ref_points_num, matrix_t ref_points_matrix[ref_points_num][3], vector_t start_pos[3], matrix_t measured_data_vec[ref_points_num], matrix_t eps, matrix_t fmin, uint8_t max_iter_num, vector_t est_pos[3], void(*f_i)(uint8_t ref_point_num, matrix_t ref_point_mat[ref_points_num][3], matrix_t point[3], matrix_t d_vec[], matrix_t f_vec[]), void(*jacobian_get_JTJ)(uint8_t ref_points_num, matrix_t ref_point_matrix[ref_points_num][3], matrix_t point[3], matrix_t data_vec[ref_points_num], matrix_t JTJ[3][3]), void(*jacobian_get_JTf)(uint8_t ref_points_num, matrix_t ref_point_matrix[ref_points_num][3], matrix_t point[3], matrix_t data_vec[ref_points_num], matrix_t JTf[3]))</div><div class="ttdoc">Implements the modified Gauss–Newton algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="loc__gauss__newton_8c_source.html#l00030">loc_gauss_newton.c:30</a></div></div>
+<div class="ttc" id="amatrix_8h_html_af38ac6b76d645fea9abd6caeb4d9dd31"><div class="ttname"><a href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a></div><div class="ttdeci">#define matrix_t</div><div class="ttdoc">Define the data type of the matrix elements.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8h_source.html#l00038">matrix.h:38</a></div></div>
+<div class="ttc" id="avector_8h_html"><div class="ttname"><a href="vector_8h.html">vector.h</a></div><div class="ttdoc">Vector computations.</div></div>
+<!-- start footer part -->
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+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.16 -->
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+ <div class="summary">
+<a href="#func-members">Functions</a> </div>
+ <div class="headertitle">
+<div class="title">loc_levenberg_marquardt.c File Reference</div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Implement the Levenberg–Marquardt (LVM) algorithm.
+<a href="#details">More...</a></p>
+<div class="textblock"><code>#include <stdio.h></code><br />
+<code>#include <math.h></code><br />
+<code>#include <float.h></code><br />
+<code>#include <inttypes.h></code><br />
+<code>#include "<a class="el" href="matrix_8h_source.html">matrix.h</a>"</code><br />
+<code>#include "<a class="el" href="vector_8h_source.html">vector.h</a>"</code><br />
+<code>#include "<a class="el" href="solve_8h_source.html">solve.h</a>"</code><br />
+<code>#include "<a class="el" href="utils_8h_source.html">utils.h</a>"</code><br />
+<code>#include "<a class="el" href="loc__levenberg__marquardt_8h_source.html">loc_levenberg_marquardt.h</a>"</code><br />
+</div>
+<p><a href="loc__levenberg__marquardt_8c_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a9b2c27f650c9db97f2923b645a8ca5f6"><td class="memItemLeft" align="right" valign="top"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="loc__levenberg__marquardt_8c.html#a9b2c27f650c9db97f2923b645a8ca5f6">loc_levenberg_marquardt_correction</a> (uint8_t ref_points_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_points_matrix[ref_points_num][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> measured_data_vec[ref_points_num], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> mu, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> s[3], void(*f_i)(uint8_t ref_point_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_mat[ref_points_num][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> d_vec[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> f_vec[]), void(*jacobian_get_JTJ)(uint8_t ref_points_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_matrix[ref_points_num][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> data_vec[ref_points_num], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> JTJ[3][3]), void(*jacobian_get_JTf)(uint8_t ref_points_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_matrix[ref_points_num][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> data_vec[ref_points_num], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> JTf[3]), void(*jacobian_get_J_mul_s)(uint8_t ref_points_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_matrix[ref_points_num][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> s[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J_s[ref_points_num]))</td></tr>
+<tr class="memdesc:a9b2c27f650c9db97f2923b645a8ca5f6"><td class="mdescLeft"> </td><td class="mdescRight">Implements the correction-function of the Levenberg–Marquardt (LVM) algorithm. <a href="loc__levenberg__marquardt_8c.html#a9b2c27f650c9db97f2923b645a8ca5f6">More...</a><br /></td></tr>
+<tr class="separator:a9b2c27f650c9db97f2923b645a8ca5f6"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a09fdd720ff5c5658e160657153ee615f"><td class="memItemLeft" align="right" valign="top">uint8_t </td><td class="memItemRight" valign="bottom"><a class="el" href="loc__levenberg__marquardt_8c.html#a09fdd720ff5c5658e160657153ee615f">loc_levenberg_marquardt</a> (uint8_t ref_points_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_points_matrix[ref_points_num][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> start_pos[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> measured_data_vec[ref_points_num], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> eps, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> tau, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> beta0, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> beta1, uint8_t max_iter_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> est_pos[3], void(*f_i)(uint8_t ref_points_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_mat[ref_points_num][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> d_vec[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> f_vec[]), void(*jacobian_get_JTJ)(uint8_t ref_points_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_matrix[][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> data_vec[ref_points_num], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> JTJ[3][3]), void(*jacobian_get_JTf)(uint8_t ref_points_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_matrix[][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> data_vec[ref_points_num], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> JTf[3]), void(*jacobian_get_J_mul_s)(uint8_t ref_points_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_matrix[][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> s[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J_s[ref_points_num]))</td></tr>
+<tr class="memdesc:a09fdd720ff5c5658e160657153ee615f"><td class="mdescLeft"> </td><td class="mdescRight">Implements the Levenberg–Marquardt (LVM) algorithm. <a href="loc__levenberg__marquardt_8c.html#a09fdd720ff5c5658e160657153ee615f">More...</a><br /></td></tr>
+<tr class="separator:a09fdd720ff5c5658e160657153ee615f"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a34f52d51278453ca0fc0818a1f73a357"><td class="memItemLeft" align="right" valign="top"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="loc__levenberg__marquardt_8c.html#a34f52d51278453ca0fc0818a1f73a357">loc_levenberg_marquardt_get_mu0</a> (<a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> tau, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> JTJ[3][3])</td></tr>
+<tr class="memdesc:a34f52d51278453ca0fc0818a1f73a357"><td class="mdescLeft"> </td><td class="mdescRight">Compute the initial value <img class="formulaInl" alt="$ \mu_0 $" src="form_57.png"/> of the Levenberg–Marquardt (LVM) algorithm. <a href="loc__levenberg__marquardt_8c.html#a34f52d51278453ca0fc0818a1f73a357">More...</a><br /></td></tr>
+<tr class="separator:a34f52d51278453ca0fc0818a1f73a357"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a4bad4d347859b95ac176779b34f26f8e"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="loc__levenberg__marquardt_8c.html#a4bad4d347859b95ac176779b34f26f8e">loc_levenberg_marquardt_get_JTJ_mu2_I</a> (uint8_t ref_points_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_points_matrix[ref_points_num][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> measured_data_vec[ref_points_num], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> mu, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> JTJ_mu2_I[3][3], void(*jacobian_get_JTJ)(uint8_t ref_points_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_matrix[ref_points_num][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> data_vec[ref_points_num], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> JTJ[3][3]))</td></tr>
+<tr class="memdesc:a4bad4d347859b95ac176779b34f26f8e"><td class="mdescLeft"> </td><td class="mdescRight">Compute the matrix <img class="formulaInl" alt="$ J_f^{T} J_f + \mu^{(i)})^{2} I $" src="form_59.png"/>. <a href="loc__levenberg__marquardt_8c.html#a4bad4d347859b95ac176779b34f26f8e">More...</a><br /></td></tr>
+<tr class="separator:a4bad4d347859b95ac176779b34f26f8e"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Implement the Levenberg–Marquardt (LVM) algorithm. </p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd>
+<dd>
+Naouar Guerchali </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="loc__levenberg__marquardt_8c_source.html">loc_levenberg_marquardt.c</a>.</p>
+</div><h2 class="groupheader">Function Documentation</h2>
+<a id="a09fdd720ff5c5658e160657153ee615f"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a09fdd720ff5c5658e160657153ee615f">◆ </a></span>loc_levenberg_marquardt()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">uint8_t loc_levenberg_marquardt </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>ref_points_num</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>ref_points_matrix</em>[ref_points_num][3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>start_pos</em>[3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>measured_data_vec</em>[ref_points_num], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>eps</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>tau</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>beta0</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>beta1</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>max_iter_num</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>est_pos</em>[3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">void(*)(uint8_t ref_points_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_mat[ref_points_num][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> d_vec[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> f_vec[]) </td>
+ <td class="paramname"><em>f_i</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">void(*)(uint8_t ref_points_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_matrix[][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> data_vec[ref_points_num], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> JTJ[3][3]) </td>
+ <td class="paramname"><em>jacobian_get_JTJ</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">void(*)(uint8_t ref_points_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_matrix[][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> data_vec[ref_points_num], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> JTf[3]) </td>
+ <td class="paramname"><em>jacobian_get_JTf</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">void(*)(uint8_t ref_points_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_matrix[][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> s[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J_s[ref_points_num]) </td>
+ <td class="paramname"><em>jacobian_get_J_mul_s</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Implements the Levenberg–Marquardt (LVM) algorithm. </p>
+<p>The user should provide pointers to the error and Jacobian functions. </p><dl class="section note"><dt>Note</dt><dd>This function is optimized for localization algorithms.</dd></dl>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">ref_points_num</td><td>number of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">ref_points_matrix[][]</td><td>three-dimensional coordinates of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">start_pos[]</td><td>start (approximate) position. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">measured_data_vec[]</td><td>pointer to the measured data. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">eps</td><td>accuracy bound. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">tau</td><td><img class="formulaInl" alt="$ \tau $" src="form_52.png"/> factor. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">beta0</td><td><img class="formulaInl" alt="$ \beta_0 $" src="form_53.png"/> factor. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">beta1</td><td><img class="formulaInl" alt="$ \beta_1 $" src="form_54.png"/> factor. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">max_iter_num</td><td>maximal iteration number of the LVM algorithm. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">est_pos[]</td><td>estimated (optimized) position. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">(*f_i)</td><td>pointer to the error function. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">(*jacobian_get_JTJ)</td><td>pointer to the function that calculates the matrix <img class="formulaInl" alt="$ J_f^{T} J_{f} $" src="form_40.png"/>. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">(*jacobian_get_JTf)</td><td>pointer to the function that calculates the vector <img class="formulaInl" alt="$ J_f^{T} \vec{f} $" src="form_38.png"/>. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">(*jacobian_get_J_mul_s)</td><td>pointer to the function that calculates the vector <img class="formulaInl" alt="$ J_f^{T} \vec{s} $" src="form_41.png"/>.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>required iteration number. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="loc__levenberg__marquardt_8c_source.html#l00126">126</a> of file <a class="el" href="loc__levenberg__marquardt_8c_source.html">loc_levenberg_marquardt.c</a>.</p>
+
+<p class="reference">References <a class="el" href="loc__levenberg__marquardt_8c_source.html#l00034">loc_levenberg_marquardt_correction()</a>, <a class="el" href="loc__levenberg__marquardt_8c_source.html#l00236">loc_levenberg_marquardt_get_JTJ_mu2_I()</a>, <a class="el" href="loc__levenberg__marquardt_8c_source.html#l00223">loc_levenberg_marquardt_get_mu0()</a>, <a class="el" href="matrix_8c_source.html#l00602">matrix_mul_scalar()</a>, <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>, <a class="el" href="solve_8c_source.html#l00077">solve_householder()</a>, <a class="el" href="vector_8c_source.html#l00104">vector_add()</a>, <a class="el" href="vector_8c_source.html#l00037">vector_copy()</a>, and <a class="el" href="vector_8c_source.html#l00042">vector_get_norm2()</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="multipath__algo__own__norm__distr__test_8c_source.html#l00038">multipath_algo_own_norm_distr_test()</a>, and <a class="el" href="position__optimization__test_8c_source.html#l00037">position_optimization_test()</a>.</p>
+
+</div>
+</div>
+<a id="a9b2c27f650c9db97f2923b645a8ca5f6"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a9b2c27f650c9db97f2923b645a8ca5f6">◆ </a></span>loc_levenberg_marquardt_correction()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> loc_levenberg_marquardt_correction </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>ref_points_num</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>ref_points_matrix</em>[ref_points_num][3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>point</em>[3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>measured_data_vec</em>[ref_points_num], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>mu</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>s</em>[3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">void(*)(uint8_t ref_point_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_mat[ref_points_num][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> d_vec[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> f_vec[]) </td>
+ <td class="paramname"><em>f_i</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">void(*)(uint8_t ref_points_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_matrix[ref_points_num][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> data_vec[ref_points_num], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> JTJ[3][3]) </td>
+ <td class="paramname"><em>jacobian_get_JTJ</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">void(*)(uint8_t ref_points_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_matrix[ref_points_num][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> data_vec[ref_points_num], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> JTf[3]) </td>
+ <td class="paramname"><em>jacobian_get_JTf</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">void(*)(uint8_t ref_points_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_matrix[ref_points_num][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> s[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J_s[ref_points_num]) </td>
+ <td class="paramname"><em>jacobian_get_J_mul_s</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Implements the correction-function of the Levenberg–Marquardt (LVM) algorithm. </p>
+<p>The user should provide pointers to the error and Jacobian functions. </p><dl class="section note"><dt>Note</dt><dd>This function is optimized for localization algorithms.</dd></dl>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">ref_points_num</td><td>number of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">ref_points_matrix[][]</td><td>three-dimensional coordinates of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">point[]</td><td>a position to adjust. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">measured_data_vec[]</td><td>pointer to the measured data. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">mu</td><td>regularization parameter <img class="formulaInl" alt="$ \mu $" src="form_55.png"/>. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">s[]</td><td>correction vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">(*f_i)</td><td>pointer to the error function. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">(*jacobian_get_JTJ)</td><td>pointer to the function that calculates the matrix <img class="formulaInl" alt="$ J_f^{T} J_{f} $" src="form_40.png"/>. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">(*jacobian_get_JTf)</td><td>pointer to the function that calculates the vector <img class="formulaInl" alt="$ J_f^{T} \vec{f} $" src="form_38.png"/>. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">(*jacobian_get_J_mul_s)</td><td>pointer to the function that calculates the vector <img class="formulaInl" alt="$ J_f^{T} \vec{s} $" src="form_41.png"/></td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the parameter <img class="formulaInl" alt="$ \rho_{\mu} $" src="form_56.png"/> </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="loc__levenberg__marquardt_8c_source.html#l00034">34</a> of file <a class="el" href="loc__levenberg__marquardt_8c_source.html">loc_levenberg_marquardt.c</a>.</p>
+
+<p class="reference">References <a class="el" href="loc__levenberg__marquardt_8c_source.html#l00236">loc_levenberg_marquardt_get_JTJ_mu2_I()</a>, <a class="el" href="matrix_8c_source.html#l00602">matrix_mul_scalar()</a>, <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>, <a class="el" href="solve_8c_source.html#l00077">solve_householder()</a>, <a class="el" href="vector_8c_source.html#l00104">vector_add()</a>, and <a class="el" href="vector_8c_source.html#l00190">vector_get_scalar_product()</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="loc__levenberg__marquardt_8c_source.html#l00126">loc_levenberg_marquardt()</a>.</p>
+
+</div>
+</div>
+<a id="a4bad4d347859b95ac176779b34f26f8e"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a4bad4d347859b95ac176779b34f26f8e">◆ </a></span>loc_levenberg_marquardt_get_JTJ_mu2_I()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void loc_levenberg_marquardt_get_JTJ_mu2_I </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>ref_points_num</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>ref_points_matrix</em>[ref_points_num][3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>point</em>[3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>measured_data_vec</em>[ref_points_num], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>mu</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>JTJ_mu2_I</em>[3][3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">void(*)(uint8_t ref_points_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_matrix[ref_points_num][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> data_vec[ref_points_num], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> JTJ[3][3]) </td>
+ <td class="paramname"><em>jacobian_get_JTJ</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute the matrix <img class="formulaInl" alt="$ J_f^{T} J_f + \mu^{(i)})^{2} I $" src="form_59.png"/>. </p>
+<dl class="section note"><dt>Note</dt><dd>This function is optimized for localization algorithms.</dd></dl>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">ref_points_num</td><td>number of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">ref_points_matrix[][]</td><td>three-dimensional coordinates of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">point[]</td><td>a position to adjust. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">measured_data_vec[]</td><td>pointer to the measured data. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">mu</td><td><img class="formulaInl" alt="$ \rho_{\mu} $" src="form_56.png"/>-parameter </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">JTJ_mu2_I[][]</td><td>includes the matrix <img class="formulaInl" alt="$ J_f^{T} J_f + \mu^{(i)})^{2} I $" src="form_59.png"/>. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">(*jacobian_get_JTJ)</td><td>pointer to the function that calculates the matrix <img class="formulaInl" alt="$ J_f^{T} J_{f} $" src="form_40.png"/>. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="loc__levenberg__marquardt_8c_source.html#l00236">236</a> of file <a class="el" href="loc__levenberg__marquardt_8c_source.html">loc_levenberg_marquardt.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="loc__levenberg__marquardt_8c_source.html#l00126">loc_levenberg_marquardt()</a>, and <a class="el" href="loc__levenberg__marquardt_8c_source.html#l00034">loc_levenberg_marquardt_correction()</a>.</p>
+
+</div>
+</div>
+<a id="a34f52d51278453ca0fc0818a1f73a357"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a34f52d51278453ca0fc0818a1f73a357">◆ </a></span>loc_levenberg_marquardt_get_mu0()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> loc_levenberg_marquardt_get_mu0 </td>
+ <td>(</td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>tau</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>JTJ</em>[3][3] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute the initial value <img class="formulaInl" alt="$ \mu_0 $" src="form_57.png"/> of the Levenberg–Marquardt (LVM) algorithm. </p>
+<p>The user should provide a pointer to the matrix <img class="formulaInl" alt="$ J_f^{T} J_{f} $" src="form_40.png"/>.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">tau</td><td><img class="formulaInl" alt="$ \tau $" src="form_52.png"/> factor. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">JTJ[][]</td><td>pointer to the matrix <img class="formulaInl" alt="$ J_f^T J_f $" src="form_58.png"/>.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><img class="formulaInl" alt="$ \rho_{\mu} $" src="form_56.png"/>-parameter </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="loc__levenberg__marquardt_8c_source.html#l00223">223</a> of file <a class="el" href="loc__levenberg__marquardt_8c_source.html">loc_levenberg_marquardt.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="loc__levenberg__marquardt_8c_source.html#l00126">loc_levenberg_marquardt()</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="navelem"><a class="el" href="dir_ca7b3fe3a5c68321cdadecc73cd5d1a0.html">localization</a></li><li class="navelem"><a class="el" href="dir_6b02df0bd0782e84dd3cd412549b0acc.html">position_optimization</a></li><li class="navelem"><a class="el" href="loc__levenberg__marquardt_8c.html">loc_levenberg_marquardt.c</a></li>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
+ </ul>
+</div>
+</body>
+</html>
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+<div class="title">loc_levenberg_marquardt.c</div> </div>
+</div><!--header-->
+<div class="contents">
+<a href="loc__levenberg__marquardt_8c.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="preprocessor">#include <stdio.h></span></div>
+<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="preprocessor">#include <math.h></span></div>
+<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#include <float.h></span></div>
+<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="preprocessor">#include <inttypes.h></span></div>
+<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>  </div>
+<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="preprocessor">#include "<a class="code" href="matrix_8h.html">matrix.h</a>"</span></div>
+<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="preprocessor">#include "<a class="code" href="vector_8h.html">vector.h</a>"</span></div>
+<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="preprocessor">#include "<a class="code" href="solve_8h.html">solve.h</a>"</span></div>
+<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="preprocessor">#include "<a class="code" href="utils_8h.html">utils.h</a>"</span></div>
+<div class="line"><a name="l00032"></a><span class="lineno"> 32</span> <span class="preprocessor">#include "<a class="code" href="loc__levenberg__marquardt_8h.html">loc_levenberg_marquardt.h</a>"</span></div>
+<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>  </div>
+<div class="line"><a name="l00034"></a><span class="lineno"><a class="line" href="loc__levenberg__marquardt_8c.html#a9b2c27f650c9db97f2923b645a8ca5f6"> 34</a></span> <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> <a class="code" href="loc__levenberg__marquardt_8c.html#a9b2c27f650c9db97f2923b645a8ca5f6">loc_levenberg_marquardt_correction</a>(uint8_t ref_points_num,</div>
+<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_points_matrix[ref_points_num][3],</div>
+<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3],</div>
+<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> measured_data_vec[ref_points_num], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> mu,</div>
+<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> s[3],</div>
+<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>  <span class="keywordtype">void</span> (*f_i)(uint8_t ref_point_num,</div>
+<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_mat[ref_points_num][3],</div>
+<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> d_vec[],</div>
+<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> f_vec[]),</div>
+<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  <span class="keywordtype">void</span> (*jacobian_get_JTJ)(</div>
+<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  uint8_t ref_points_num,</div>
+<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_matrix[ref_points_num][3],</div>
+<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3],</div>
+<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> data_vec[ref_points_num],</div>
+<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> JTJ[3][3]),</div>
+<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  <span class="keywordtype">void</span> (*jacobian_get_JTf)(</div>
+<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  uint8_t ref_points_num,</div>
+<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_matrix[ref_points_num][3],</div>
+<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3],</div>
+<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> data_vec[ref_points_num],</div>
+<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> JTf[3]),</div>
+<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  <span class="keywordtype">void</span> (*jacobian_get_J_mul_s)(</div>
+<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  uint8_t ref_points_num,</div>
+<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_matrix[ref_points_num][3],</div>
+<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> s[3],</div>
+<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J_s[ref_points_num])</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>  </div>
+<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> Fx[ref_points_num];</div>
+<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> JTJ_mu2_I[3][3];</div>
+<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> JTF[3];</div>
+<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ro_mu = 0;</div>
+<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> Fx_square = 0;</div>
+<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> Fx_plus_s_square = 0;</div>
+<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> Fx_plus_J_mul_s_square = 0;</div>
+<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> Fx_plus_J_mul_s[ref_points_num];</div>
+<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> F_x_plus_s[ref_points_num];</div>
+<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point_plus_s[3];</div>
+<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> denom;</div>
+<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  </div>
+<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  <span class="comment">//compute: -(J'J + mu^2*I)</span></div>
+<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  <a class="code" href="loc__levenberg__marquardt_8c.html#a4bad4d347859b95ac176779b34f26f8e">loc_levenberg_marquardt_get_JTJ_mu2_I</a>(ref_points_num, ref_points_matrix,</div>
+<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  point,</div>
+<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  measured_data_vec, mu, JTJ_mu2_I,</div>
+<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  jacobian_get_JTJ);</div>
+<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  <a class="code" href="matrix_8h.html#a51139e6c87b602e5e0ebfbc406fda35d">matrix_mul_scalar</a>(3, 3, JTJ_mu2_I, -1, JTJ_mu2_I); <span class="comment">// -(J'*J+mu^2*eye(n)) is an (n,n) matrix</span></div>
+<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  </div>
+<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  jacobian_get_JTf(ref_points_num, ref_points_matrix, point,</div>
+<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  measured_data_vec, JTF);</div>
+<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  </div>
+<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  <span class="comment">//solve the equation: s = -(J'*J+mu^2*I)\(J'*Fx);</span></div>
+<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  <a class="code" href="solve_8h.html#ab6336aff7fbff116a6118b39a0d1e2cd">solve_householder</a>(3, 3, JTJ_mu2_I, JTF, s);</div>
+<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  </div>
+<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  <span class="comment">//f(x)</span></div>
+<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  f_i(ref_points_num, ref_points_matrix, point, measured_data_vec, Fx);</div>
+<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  <span class="comment">//f(x)^2</span></div>
+<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  Fx_square = <a class="code" href="vector_8h.html#a5f4b706c07b9b0f7a4983d80fba99e4e">vector_get_scalar_product</a>(ref_points_num, Fx, Fx);</div>
+<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  </div>
+<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  <span class="comment">//(x+s)</span></div>
+<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  <a class="code" href="vector_8h.html#a92917951880002814392c2367896d7a0">vector_add</a>(3, point, s, point_plus_s);</div>
+<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  </div>
+<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  <span class="comment">//f(x+s)</span></div>
+<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  f_i(ref_points_num, ref_points_matrix, point_plus_s, measured_data_vec,</div>
+<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  F_x_plus_s);</div>
+<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  <span class="comment">//f(x+s)^2</span></div>
+<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  Fx_plus_s_square = <a class="code" href="vector_8h.html#a5f4b706c07b9b0f7a4983d80fba99e4e">vector_get_scalar_product</a>(ref_points_num, F_x_plus_s,</div>
+<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  F_x_plus_s);</div>
+<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  </div>
+<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  <span class="comment">//compute: J(x)*s</span></div>
+<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  jacobian_get_J_mul_s(ref_points_num, ref_points_matrix, point, s,</div>
+<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  Fx_plus_J_mul_s);</div>
+<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  <span class="comment">//compute: f(x) + J(x)*s</span></div>
+<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  <a class="code" href="vector_8h.html#a92917951880002814392c2367896d7a0">vector_add</a>(ref_points_num, Fx, Fx_plus_J_mul_s, Fx_plus_J_mul_s);</div>
+<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  </div>
+<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  <span class="comment">//compute: ||f(x) + J(x)*s||^2</span></div>
+<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  Fx_plus_J_mul_s_square = <a class="code" href="vector_8h.html#a5f4b706c07b9b0f7a4983d80fba99e4e">vector_get_scalar_product</a>(ref_points_num,</div>
+<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  Fx_plus_J_mul_s,</div>
+<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  Fx_plus_J_mul_s);</div>
+<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  </div>
+<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  denom = Fx_square - Fx_plus_J_mul_s_square;</div>
+<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  <span class="keywordflow">if</span> (denom != 0) {</div>
+<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  ro_mu = (Fx_square - Fx_plus_s_square) / denom;</div>
+<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  }</div>
+<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  <span class="keywordflow">else</span> {</div>
+<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  puts(<span class="stringliteral">"ro_mu is infinite !!!"</span>);</div>
+<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  ro_mu = FLT_MAX;</div>
+<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  }</div>
+<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  </div>
+<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  <span class="keywordflow">return</span> ro_mu;</div>
+<div class="line"><a name="l00124"></a><span class="lineno"> 124</span> }</div>
+<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  </div>
+<div class="line"><a name="l00126"></a><span class="lineno"><a class="line" href="loc__levenberg__marquardt_8c.html#a09fdd720ff5c5658e160657153ee615f"> 126</a></span> uint8_t <a class="code" href="loc__levenberg__marquardt_8c.html#a09fdd720ff5c5658e160657153ee615f">loc_levenberg_marquardt</a>(uint8_t ref_points_num,</div>
+<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_points_matrix[ref_points_num][3],</div>
+<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> start_pos[3],</div>
+<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> measured_data_vec[ref_points_num],</div>
+<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> eps, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> tau, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> beta0,</div>
+<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> beta1,</div>
+<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  uint8_t max_iter_num,</div>
+<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> est_pos[3],</div>
+<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  <span class="keywordtype">void</span> (*f_i)(uint8_t ref_points_num,</div>
+<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_mat[ref_points_num][3],</div>
+<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> d_vec[],</div>
+<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> f_vec[]),</div>
+<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  <span class="keywordtype">void</span> (*jacobian_get_JTJ)(uint8_t ref_points_num,</div>
+<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_matrix[][3],</div>
+<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3],</div>
+<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> data_vec[ref_points_num],</div>
+<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> JTJ[3][3]),</div>
+<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  <span class="keywordtype">void</span> (*jacobian_get_JTf)(uint8_t ref_points_num,</div>
+<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_matrix[][3],</div>
+<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3],</div>
+<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> data_vec[ref_points_num],</div>
+<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> JTf[3]),</div>
+<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>  <span class="keywordtype">void</span> (*jacobian_get_J_mul_s)(uint8_t ref_points_num,</div>
+<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_matrix[][3],</div>
+<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> s[3],</div>
+<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J_s[ref_points_num])</div>
+<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>  )</div>
+<div class="line"><a name="l00153"></a><span class="lineno"> 153</span> {</div>
+<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>  </div>
+<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> JTF[3];</div>
+<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> JTJ_mu2_I[3][3];</div>
+<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> s[3];</div>
+<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> mu;</div>
+<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ro_mu;</div>
+<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  uint8_t it;</div>
+<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>  </div>
+<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  <span class="comment">/*</span></div>
+<div class="line"><a name="l00163"></a><span class="lineno"> 163</span> <span class="comment"> * compute mu0 and -(J'J + mu0^2*I)</span></div>
+<div class="line"><a name="l00164"></a><span class="lineno"> 164</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>  <span class="comment">//store J'J in JTJ_mu2_I</span></div>
+<div class="line"><a name="l00166"></a><span class="lineno"> 166</span>  jacobian_get_JTJ(ref_points_num, ref_points_matrix, start_pos,</div>
+<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>  measured_data_vec, JTJ_mu2_I);</div>
+<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>  mu = <a class="code" href="loc__levenberg__marquardt_8c.html#a34f52d51278453ca0fc0818a1f73a357">loc_levenberg_marquardt_get_mu0</a>(tau, JTJ_mu2_I);</div>
+<div class="line"><a name="l00169"></a><span class="lineno"> 169</span>  </div>
+<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>  <span class="comment">//compute: J'J + mu0^2*I</span></div>
+<div class="line"><a name="l00171"></a><span class="lineno"> 171</span>  <a class="code" href="loc__levenberg__marquardt_8c.html#a4bad4d347859b95ac176779b34f26f8e">loc_levenberg_marquardt_get_JTJ_mu2_I</a>(ref_points_num, ref_points_matrix,</div>
+<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>  start_pos, measured_data_vec, mu,</div>
+<div class="line"><a name="l00173"></a><span class="lineno"> 173</span>  JTJ_mu2_I,</div>
+<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>  jacobian_get_JTJ);</div>
+<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>  <span class="comment">//-(J'*J+mu0^2*eye(n)) is an (n,n) matrix</span></div>
+<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>  <a class="code" href="matrix_8h.html#a51139e6c87b602e5e0ebfbc406fda35d">matrix_mul_scalar</a>(3, 3, JTJ_mu2_I, -1, JTJ_mu2_I);</div>
+<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>  </div>
+<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>  <span class="comment">//compute JTF</span></div>
+<div class="line"><a name="l00179"></a><span class="lineno"> 179</span>  jacobian_get_JTf(ref_points_num, ref_points_matrix, start_pos,</div>
+<div class="line"><a name="l00180"></a><span class="lineno"> 180</span>  measured_data_vec, JTF);</div>
+<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>  </div>
+<div class="line"><a name="l00182"></a><span class="lineno"> 182</span>  <span class="comment">//solve the equation: s=-(J'*J+mu^2*eye(n))\(J'*F);</span></div>
+<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>  <a class="code" href="solve_8h.html#ab6336aff7fbff116a6118b39a0d1e2cd">solve_householder</a>(3, 3, JTJ_mu2_I, JTF, s);</div>
+<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>  </div>
+<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>  <a class="code" href="vector_8h.html#ae9d3378f23ba835c727245b434b8a7f6">vector_copy</a>(3, start_pos, est_pos);</div>
+<div class="line"><a name="l00186"></a><span class="lineno"> 186</span>  it = 0;</div>
+<div class="line"><a name="l00187"></a><span class="lineno"> 187</span>  <span class="keywordflow">while</span> ((<a class="code" href="vector_8h.html#a4cfc452fdff3e32a601ccff140cd9ae6">vector_get_norm2</a>(3, s)</div>
+<div class="line"><a name="l00188"></a><span class="lineno"> 188</span>  > eps * (1 + <a class="code" href="vector_8h.html#a4cfc452fdff3e32a601ccff140cd9ae6">vector_get_norm2</a>(3, est_pos)))</div>
+<div class="line"><a name="l00189"></a><span class="lineno"> 189</span>  && (it < max_iter_num)) { <span class="comment">//norm(s,2)>eps*(1+norm(x,2))</span></div>
+<div class="line"><a name="l00190"></a><span class="lineno"> 190</span>  </div>
+<div class="line"><a name="l00191"></a><span class="lineno"> 191</span>  ro_mu = <a class="code" href="loc__levenberg__marquardt_8c.html#a9b2c27f650c9db97f2923b645a8ca5f6">loc_levenberg_marquardt_correction</a>(ref_points_num,</div>
+<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>  ref_points_matrix, est_pos,</div>
+<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>  measured_data_vec,</div>
+<div class="line"><a name="l00194"></a><span class="lineno"> 194</span>  mu, s, f_i, jacobian_get_JTJ,</div>
+<div class="line"><a name="l00195"></a><span class="lineno"> 195</span>  jacobian_get_JTf,</div>
+<div class="line"><a name="l00196"></a><span class="lineno"> 196</span>  jacobian_get_J_mul_s);</div>
+<div class="line"><a name="l00197"></a><span class="lineno"> 197</span>  </div>
+<div class="line"><a name="l00198"></a><span class="lineno"> 198</span>  <span class="keywordflow">while</span> (1) {</div>
+<div class="line"><a name="l00199"></a><span class="lineno"> 199</span>  <span class="keywordflow">if</span> (ro_mu <= beta0) {</div>
+<div class="line"><a name="l00200"></a><span class="lineno"> 200</span>  mu = 2.0 * mu;</div>
+<div class="line"><a name="l00201"></a><span class="lineno"> 201</span>  ro_mu = <a class="code" href="loc__levenberg__marquardt_8c.html#a9b2c27f650c9db97f2923b645a8ca5f6">loc_levenberg_marquardt_correction</a>(</div>
+<div class="line"><a name="l00202"></a><span class="lineno"> 202</span>  ref_points_num,</div>
+<div class="line"><a name="l00203"></a><span class="lineno"> 203</span>  ref_points_matrix, est_pos,</div>
+<div class="line"><a name="l00204"></a><span class="lineno"> 204</span>  measured_data_vec, mu, s, f_i,</div>
+<div class="line"><a name="l00205"></a><span class="lineno"> 205</span>  jacobian_get_JTJ,</div>
+<div class="line"><a name="l00206"></a><span class="lineno"> 206</span>  jacobian_get_JTf,</div>
+<div class="line"><a name="l00207"></a><span class="lineno"> 207</span>  jacobian_get_J_mul_s);</div>
+<div class="line"><a name="l00208"></a><span class="lineno"> 208</span>  }</div>
+<div class="line"><a name="l00209"></a><span class="lineno"> 209</span>  <span class="keywordflow">else</span> <span class="keywordflow">if</span> (ro_mu >= beta1) {</div>
+<div class="line"><a name="l00210"></a><span class="lineno"> 210</span>  mu = mu / 2.0;</div>
+<div class="line"><a name="l00211"></a><span class="lineno"> 211</span>  <span class="keywordflow">break</span>;</div>
+<div class="line"><a name="l00212"></a><span class="lineno"> 212</span>  }</div>
+<div class="line"><a name="l00213"></a><span class="lineno"> 213</span>  <span class="keywordflow">else</span> {</div>
+<div class="line"><a name="l00214"></a><span class="lineno"> 214</span>  <span class="keywordflow">break</span>;</div>
+<div class="line"><a name="l00215"></a><span class="lineno"> 215</span>  }</div>
+<div class="line"><a name="l00216"></a><span class="lineno"> 216</span>  }</div>
+<div class="line"><a name="l00217"></a><span class="lineno"> 217</span>  <a class="code" href="vector_8h.html#a92917951880002814392c2367896d7a0">vector_add</a>(3, est_pos, s, est_pos);</div>
+<div class="line"><a name="l00218"></a><span class="lineno"> 218</span>  it = it + 1;</div>
+<div class="line"><a name="l00219"></a><span class="lineno"> 219</span>  } <span class="comment">//while</span></div>
+<div class="line"><a name="l00220"></a><span class="lineno"> 220</span>  <span class="keywordflow">return</span> it;</div>
+<div class="line"><a name="l00221"></a><span class="lineno"> 221</span> }</div>
+<div class="line"><a name="l00222"></a><span class="lineno"> 222</span>  </div>
+<div class="line"><a name="l00223"></a><span class="lineno"><a class="line" href="loc__levenberg__marquardt_8c.html#a34f52d51278453ca0fc0818a1f73a357"> 223</a></span> <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> <a class="code" href="loc__levenberg__marquardt_8c.html#a34f52d51278453ca0fc0818a1f73a357">loc_levenberg_marquardt_get_mu0</a>(<a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> tau, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> JTJ[3][3])</div>
+<div class="line"><a name="l00224"></a><span class="lineno"> 224</span> {</div>
+<div class="line"><a name="l00225"></a><span class="lineno"> 225</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> max_diag_JTJ = JTJ[0][0];</div>
+<div class="line"><a name="l00226"></a><span class="lineno"> 226</span>  </div>
+<div class="line"><a name="l00227"></a><span class="lineno"> 227</span>  <span class="keywordflow">for</span> (uint8_t i = 1; i < 3; i++) {</div>
+<div class="line"><a name="l00228"></a><span class="lineno"> 228</span>  <span class="keywordflow">if</span> (JTJ[i][i] > max_diag_JTJ) {</div>
+<div class="line"><a name="l00229"></a><span class="lineno"> 229</span>  max_diag_JTJ = JTJ[i][i];</div>
+<div class="line"><a name="l00230"></a><span class="lineno"> 230</span>  }</div>
+<div class="line"><a name="l00231"></a><span class="lineno"> 231</span>  }</div>
+<div class="line"><a name="l00232"></a><span class="lineno"> 232</span>  <span class="keywordflow">return</span> tau * max_diag_JTJ;</div>
+<div class="line"><a name="l00233"></a><span class="lineno"> 233</span> }</div>
+<div class="line"><a name="l00234"></a><span class="lineno"> 234</span>  </div>
+<div class="line"><a name="l00235"></a><span class="lineno"> 235</span> <span class="comment">//compute: J'J + mu^2*I</span></div>
+<div class="line"><a name="l00236"></a><span class="lineno"><a class="line" href="loc__levenberg__marquardt_8c.html#a4bad4d347859b95ac176779b34f26f8e"> 236</a></span> <span class="keywordtype">void</span> <a class="code" href="loc__levenberg__marquardt_8c.html#a4bad4d347859b95ac176779b34f26f8e">loc_levenberg_marquardt_get_JTJ_mu2_I</a>(uint8_t ref_points_num,</div>
+<div class="line"><a name="l00237"></a><span class="lineno"> 237</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_points_matrix[ref_points_num][3],</div>
+<div class="line"><a name="l00238"></a><span class="lineno"> 238</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3],</div>
+<div class="line"><a name="l00239"></a><span class="lineno"> 239</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> measured_data_vec[ref_points_num],</div>
+<div class="line"><a name="l00240"></a><span class="lineno"> 240</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> mu,</div>
+<div class="line"><a name="l00241"></a><span class="lineno"> 241</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> JTJ_mu2_I[3][3],</div>
+<div class="line"><a name="l00242"></a><span class="lineno"> 242</span>  <span class="keywordtype">void</span> (*jacobian_get_JTJ)(</div>
+<div class="line"><a name="l00243"></a><span class="lineno"> 243</span>  uint8_t ref_points_num,</div>
+<div class="line"><a name="l00244"></a><span class="lineno"> 244</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_matrix[ref_points_num][3],</div>
+<div class="line"><a name="l00245"></a><span class="lineno"> 245</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3],</div>
+<div class="line"><a name="l00246"></a><span class="lineno"> 246</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> data_vec[ref_points_num],</div>
+<div class="line"><a name="l00247"></a><span class="lineno"> 247</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> JTJ[3][3])</div>
+<div class="line"><a name="l00248"></a><span class="lineno"> 248</span>  )</div>
+<div class="line"><a name="l00249"></a><span class="lineno"> 249</span> {</div>
+<div class="line"><a name="l00250"></a><span class="lineno"> 250</span>  uint8_t i;</div>
+<div class="line"><a name="l00251"></a><span class="lineno"> 251</span>  </div>
+<div class="line"><a name="l00252"></a><span class="lineno"> 252</span>  jacobian_get_JTJ(ref_points_num, ref_points_matrix, point,</div>
+<div class="line"><a name="l00253"></a><span class="lineno"> 253</span>  measured_data_vec, JTJ_mu2_I); <span class="comment">//JTJ_mu2_I = J'J</span></div>
+<div class="line"><a name="l00254"></a><span class="lineno"> 254</span>  </div>
+<div class="line"><a name="l00255"></a><span class="lineno"> 255</span>  <span class="keywordflow">for</span> (i = 0; i < 3; i++) {</div>
+<div class="line"><a name="l00256"></a><span class="lineno"> 256</span>  JTJ_mu2_I[i][i] += pow(mu, 2); <span class="comment">// JTJ_mu2_I = J'*J+mu^2*I;</span></div>
+<div class="line"><a name="l00257"></a><span class="lineno"> 257</span>  }</div>
+<div class="line"><a name="l00258"></a><span class="lineno"> 258</span> }</div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="avector_8h_html_a4cfc452fdff3e32a601ccff140cd9ae6"><div class="ttname"><a href="vector_8h.html#a4cfc452fdff3e32a601ccff140cd9ae6">vector_get_norm2</a></div><div class="ttdeci">vector_t vector_get_norm2(uint8_t length, vector_t arr[])</div><div class="ttdoc">Compute the 2-norm norm of a vector.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00042">vector.c:42</a></div></div>
+<div class="ttc" id="avector_8h_html_a5f4b706c07b9b0f7a4983d80fba99e4e"><div class="ttname"><a href="vector_8h.html#a5f4b706c07b9b0f7a4983d80fba99e4e">vector_get_scalar_product</a></div><div class="ttdeci">vector_t vector_get_scalar_product(uint8_t n, vector_t vec1[n], vector_t vec2[n])</div><div class="ttdoc">Compute the dot product of two vectors.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00190">vector.c:190</a></div></div>
+<div class="ttc" id="asolve_8h_html_ab6336aff7fbff116a6118b39a0d1e2cd"><div class="ttname"><a href="solve_8h.html#ab6336aff7fbff116a6118b39a0d1e2cd">solve_householder</a></div><div class="ttdeci">int8_t solve_householder(uint8_t m, uint8_t n, matrix_t A[][n], matrix_t b[m], matrix_t x_sol[n])</div><div class="ttdoc">Solve an (m n) linear system Ax = b, using the Householder algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="solve_8c_source.html#l00077">solve.c:77</a></div></div>
+<div class="ttc" id="aloc__levenberg__marquardt_8h_html"><div class="ttname"><a href="loc__levenberg__marquardt_8h.html">loc_levenberg_marquardt.h</a></div><div class="ttdoc">Implement the Levenberg–Marquardt (LVM) algorithm for position optimization.</div></div>
+<div class="ttc" id="asolve_8h_html"><div class="ttname"><a href="solve_8h.html">solve.h</a></div><div class="ttdoc">Enables to solve systems of linear equations Ax = b for x.</div></div>
+<div class="ttc" id="amatrix_8h_html"><div class="ttname"><a href="matrix_8h.html">matrix.h</a></div><div class="ttdoc">Matrix computations.</div></div>
+<div class="ttc" id="autils_8h_html"><div class="ttname"><a href="utils_8h.html">utils.h</a></div><div class="ttdoc">Utilities for linear algebra.</div></div>
+<div class="ttc" id="amatrix_8h_html_a51139e6c87b602e5e0ebfbc406fda35d"><div class="ttname"><a href="matrix_8h.html#a51139e6c87b602e5e0ebfbc406fda35d">matrix_mul_scalar</a></div><div class="ttdeci">void matrix_mul_scalar(uint8_t m, uint8_t n, matrix_t mat_src[m][n], matrix_t value, matrix_t mat_dest[m][n])</div><div class="ttdoc">Multiply all elements of a matrix with a specified value.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00602">matrix.c:602</a></div></div>
+<div class="ttc" id="aloc__levenberg__marquardt_8c_html_a34f52d51278453ca0fc0818a1f73a357"><div class="ttname"><a href="loc__levenberg__marquardt_8c.html#a34f52d51278453ca0fc0818a1f73a357">loc_levenberg_marquardt_get_mu0</a></div><div class="ttdeci">matrix_t loc_levenberg_marquardt_get_mu0(matrix_t tau, matrix_t JTJ[3][3])</div><div class="ttdoc">Compute the initial value of the Levenberg–Marquardt (LVM) algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="loc__levenberg__marquardt_8c_source.html#l00223">loc_levenberg_marquardt.c:223</a></div></div>
+<div class="ttc" id="aloc__levenberg__marquardt_8c_html_a09fdd720ff5c5658e160657153ee615f"><div class="ttname"><a href="loc__levenberg__marquardt_8c.html#a09fdd720ff5c5658e160657153ee615f">loc_levenberg_marquardt</a></div><div class="ttdeci">uint8_t loc_levenberg_marquardt(uint8_t ref_points_num, matrix_t ref_points_matrix[ref_points_num][3], matrix_t start_pos[3], matrix_t measured_data_vec[ref_points_num], matrix_t eps, matrix_t tau, matrix_t beta0, matrix_t beta1, uint8_t max_iter_num, matrix_t est_pos[3], void(*f_i)(uint8_t ref_points_num, matrix_t ref_point_mat[ref_points_num][3], matrix_t point[3], matrix_t d_vec[], matrix_t f_vec[]), void(*jacobian_get_JTJ)(uint8_t ref_points_num, matrix_t ref_point_matrix[][3], matrix_t point[3], matrix_t data_vec[ref_points_num], matrix_t JTJ[3][3]), void(*jacobian_get_JTf)(uint8_t ref_points_num, matrix_t ref_point_matrix[][3], matrix_t point[3], matrix_t data_vec[ref_points_num], matrix_t JTf[3]), void(*jacobian_get_J_mul_s)(uint8_t ref_points_num, matrix_t ref_point_matrix[][3], matrix_t point[3], matrix_t s[3], matrix_t J_s[ref_points_num]))</div><div class="ttdoc">Implements the Levenberg–Marquardt (LVM) algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="loc__levenberg__marquardt_8c_source.html#l00126">loc_levenberg_marquardt.c:126</a></div></div>
+<div class="ttc" id="avector_8h_html_ae9d3378f23ba835c727245b434b8a7f6"><div class="ttname"><a href="vector_8h.html#ae9d3378f23ba835c727245b434b8a7f6">vector_copy</a></div><div class="ttdeci">void vector_copy(uint8_t size, vector_t src_arr[], vector_t dest_arr[])</div><div class="ttdoc">Copy the elements of the source vector to the destination vector.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00037">vector.c:37</a></div></div>
+<div class="ttc" id="amatrix_8h_html_af38ac6b76d645fea9abd6caeb4d9dd31"><div class="ttname"><a href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a></div><div class="ttdeci">#define matrix_t</div><div class="ttdoc">Define the data type of the matrix elements.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8h_source.html#l00038">matrix.h:38</a></div></div>
+<div class="ttc" id="avector_8h_html_a92917951880002814392c2367896d7a0"><div class="ttname"><a href="vector_8h.html#a92917951880002814392c2367896d7a0">vector_add</a></div><div class="ttdeci">void vector_add(uint8_t size, vector_t a_vec[size], vector_t b_vec[size], vector_t a_plus_b_vec[size])</div><div class="ttdoc">Compute the addition of two vectors.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00104">vector.c:104</a></div></div>
+<div class="ttc" id="avector_8h_html"><div class="ttname"><a href="vector_8h.html">vector.h</a></div><div class="ttdoc">Vector computations.</div></div>
+<div class="ttc" id="aloc__levenberg__marquardt_8c_html_a9b2c27f650c9db97f2923b645a8ca5f6"><div class="ttname"><a href="loc__levenberg__marquardt_8c.html#a9b2c27f650c9db97f2923b645a8ca5f6">loc_levenberg_marquardt_correction</a></div><div class="ttdeci">matrix_t loc_levenberg_marquardt_correction(uint8_t ref_points_num, matrix_t ref_points_matrix[ref_points_num][3], matrix_t point[3], matrix_t measured_data_vec[ref_points_num], matrix_t mu, matrix_t s[3], void(*f_i)(uint8_t ref_point_num, matrix_t ref_point_mat[ref_points_num][3], matrix_t point[3], matrix_t d_vec[], matrix_t f_vec[]), void(*jacobian_get_JTJ)(uint8_t ref_points_num, matrix_t ref_point_matrix[ref_points_num][3], matrix_t point[3], matrix_t data_vec[ref_points_num], matrix_t JTJ[3][3]), void(*jacobian_get_JTf)(uint8_t ref_points_num, matrix_t ref_point_matrix[ref_points_num][3], matrix_t point[3], matrix_t data_vec[ref_points_num], matrix_t JTf[3]), void(*jacobian_get_J_mul_s)(uint8_t ref_points_num, matrix_t ref_point_matrix[ref_points_num][3], matrix_t point[3], matrix_t s[3], matrix_t J_s[ref_points_num]))</div><div class="ttdoc">Implements the correction-function of the Levenberg–Marquardt (LVM) algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="loc__levenberg__marquardt_8c_source.html#l00034">loc_levenberg_marquardt.c:34</a></div></div>
+<div class="ttc" id="aloc__levenberg__marquardt_8c_html_a4bad4d347859b95ac176779b34f26f8e"><div class="ttname"><a href="loc__levenberg__marquardt_8c.html#a4bad4d347859b95ac176779b34f26f8e">loc_levenberg_marquardt_get_JTJ_mu2_I</a></div><div class="ttdeci">void loc_levenberg_marquardt_get_JTJ_mu2_I(uint8_t ref_points_num, matrix_t ref_points_matrix[ref_points_num][3], matrix_t point[3], matrix_t measured_data_vec[ref_points_num], matrix_t mu, matrix_t JTJ_mu2_I[3][3], void(*jacobian_get_JTJ)(uint8_t ref_points_num, matrix_t ref_point_matrix[ref_points_num][3], matrix_t point[3], matrix_t data_vec[ref_points_num], matrix_t JTJ[3][3]))</div><div class="ttdoc">Compute the matrix .</div><div class="ttdef"><b>Definition:</b> <a href="loc__levenberg__marquardt_8c_source.html#l00236">loc_levenberg_marquardt.c:236</a></div></div>
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+<a href="#func-members">Functions</a> </div>
+ <div class="headertitle">
+<div class="title">loc_levenberg_marquardt.h File Reference<div class="ingroups"><a class="el" href="group__localization.html">LOCALIZATION</a> » <a class="el" href="group__position__optimization.html">POSITION_OPTIMIZATION</a></div></div> </div>
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+<p>Implement the Levenberg–Marquardt (LVM) algorithm for position optimization.
+<a href="#details">More...</a></p>
+<div class="textblock"><code>#include <inttypes.h></code><br />
+<code>#include "<a class="el" href="matrix_8h_source.html">matrix.h</a>"</code><br />
+</div>
+<p><a href="loc__levenberg__marquardt_8h_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a09fdd720ff5c5658e160657153ee615f"><td class="memItemLeft" align="right" valign="top">uint8_t </td><td class="memItemRight" valign="bottom"><a class="el" href="loc__levenberg__marquardt_8h.html#a09fdd720ff5c5658e160657153ee615f">loc_levenberg_marquardt</a> (uint8_t ref_points_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_points_matrix[ref_points_num][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> start_pos[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> measured_data_vec[ref_points_num], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> eps, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> tau, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> beta0, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> beta1, uint8_t max_iter_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> est_pos[3], void(*f_i)(uint8_t ref_points_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_mat[ref_points_num][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> d_vec[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> f_vec[]), void(*jacobian_get_JTJ)(uint8_t ref_points_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_matrix[][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> data_vec[ref_points_num], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> JTJ[3][3]), void(*jacobian_get_JTf)(uint8_t ref_points_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_matrix[][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> data_vec[ref_points_num], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> JTf[3]), void(*jacobian_get_J_mul_s)(uint8_t ref_points_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_matrix[][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> s[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J_s[ref_points_num]))</td></tr>
+<tr class="memdesc:a09fdd720ff5c5658e160657153ee615f"><td class="mdescLeft"> </td><td class="mdescRight">Implements the Levenberg–Marquardt (LVM) algorithm. <a href="loc__levenberg__marquardt_8h.html#a09fdd720ff5c5658e160657153ee615f">More...</a><br /></td></tr>
+<tr class="separator:a09fdd720ff5c5658e160657153ee615f"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a9b2c27f650c9db97f2923b645a8ca5f6"><td class="memItemLeft" align="right" valign="top"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="loc__levenberg__marquardt_8h.html#a9b2c27f650c9db97f2923b645a8ca5f6">loc_levenberg_marquardt_correction</a> (uint8_t ref_points_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_points_matrix[ref_points_num][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> measured_data_vec[ref_points_num], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> mu, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> s[3], void(*f_i)(uint8_t ref_point_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_mat[ref_points_num][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> d_vec[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> f_vec[]), void(*jacobian_get_JTJ)(uint8_t ref_points_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_matrix[ref_points_num][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> data_vec[ref_points_num], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> JTJ[3][3]), void(*jacobian_get_JTf)(uint8_t ref_points_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_matrix[ref_points_num][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> data_vec[ref_points_num], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> JTf[3]), void(*jacobian_get_J_mul_s)(uint8_t ref_points_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_matrix[ref_points_num][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> s[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J_s[ref_points_num]))</td></tr>
+<tr class="memdesc:a9b2c27f650c9db97f2923b645a8ca5f6"><td class="mdescLeft"> </td><td class="mdescRight">Implements the correction-function of the Levenberg–Marquardt (LVM) algorithm. <a href="loc__levenberg__marquardt_8h.html#a9b2c27f650c9db97f2923b645a8ca5f6">More...</a><br /></td></tr>
+<tr class="separator:a9b2c27f650c9db97f2923b645a8ca5f6"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a34f52d51278453ca0fc0818a1f73a357"><td class="memItemLeft" align="right" valign="top"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="loc__levenberg__marquardt_8h.html#a34f52d51278453ca0fc0818a1f73a357">loc_levenberg_marquardt_get_mu0</a> (<a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> tau, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> JTJ[3][3])</td></tr>
+<tr class="memdesc:a34f52d51278453ca0fc0818a1f73a357"><td class="mdescLeft"> </td><td class="mdescRight">Compute the initial value <img class="formulaInl" alt="$ \mu_0 $" src="form_57.png"/> of the Levenberg–Marquardt (LVM) algorithm. <a href="loc__levenberg__marquardt_8h.html#a34f52d51278453ca0fc0818a1f73a357">More...</a><br /></td></tr>
+<tr class="separator:a34f52d51278453ca0fc0818a1f73a357"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a4bad4d347859b95ac176779b34f26f8e"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="loc__levenberg__marquardt_8h.html#a4bad4d347859b95ac176779b34f26f8e">loc_levenberg_marquardt_get_JTJ_mu2_I</a> (uint8_t ref_points_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_points_matrix[ref_points_num][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> measured_data_vec[ref_points_num], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> mu, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> JTJ_mu2_I[3][3], void(*jacobian_get_JTJ)(uint8_t ref_points_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_matrix[ref_points_num][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> data_vec[ref_points_num], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> JTJ[3][3]))</td></tr>
+<tr class="memdesc:a4bad4d347859b95ac176779b34f26f8e"><td class="mdescLeft"> </td><td class="mdescRight">Compute the matrix <img class="formulaInl" alt="$ J_f^{T} J_f + \mu^{(i)})^{2} I $" src="form_59.png"/>. <a href="loc__levenberg__marquardt_8h.html#a4bad4d347859b95ac176779b34f26f8e">More...</a><br /></td></tr>
+<tr class="separator:a4bad4d347859b95ac176779b34f26f8e"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Implement the Levenberg–Marquardt (LVM) algorithm for position optimization. </p>
+<dl class="section note"><dt>Note</dt><dd>This function is adapted for localization algorithms.</dd></dl>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd>
+<dd>
+Naouar Guerchali </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="loc__levenberg__marquardt_8h_source.html">loc_levenberg_marquardt.h</a>.</p>
+</div><h2 class="groupheader">Function Documentation</h2>
+<a id="a09fdd720ff5c5658e160657153ee615f"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a09fdd720ff5c5658e160657153ee615f">◆ </a></span>loc_levenberg_marquardt()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">uint8_t loc_levenberg_marquardt </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>ref_points_num</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>ref_points_matrix</em>[ref_points_num][3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>start_pos</em>[3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>measured_data_vec</em>[ref_points_num], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>eps</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>tau</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>beta0</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>beta1</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>max_iter_num</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>est_pos</em>[3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">void(*)(uint8_t ref_points_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_mat[ref_points_num][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> d_vec[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> f_vec[]) </td>
+ <td class="paramname"><em>f_i</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">void(*)(uint8_t ref_points_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_matrix[][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> data_vec[ref_points_num], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> JTJ[3][3]) </td>
+ <td class="paramname"><em>jacobian_get_JTJ</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">void(*)(uint8_t ref_points_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_matrix[][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> data_vec[ref_points_num], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> JTf[3]) </td>
+ <td class="paramname"><em>jacobian_get_JTf</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">void(*)(uint8_t ref_points_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_matrix[][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> s[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J_s[ref_points_num]) </td>
+ <td class="paramname"><em>jacobian_get_J_mul_s</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Implements the Levenberg–Marquardt (LVM) algorithm. </p>
+<p>The user should provide pointers to the error and Jacobian functions. </p><dl class="section note"><dt>Note</dt><dd>This function is optimized for localization algorithms.</dd></dl>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">ref_points_num</td><td>number of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">ref_points_matrix[][]</td><td>three-dimensional coordinates of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">start_pos[]</td><td>start (approximate) position. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">measured_data_vec[]</td><td>pointer to the measured data. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">eps</td><td>accuracy bound. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">tau</td><td><img class="formulaInl" alt="$ \tau $" src="form_52.png"/> factor. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">beta0</td><td><img class="formulaInl" alt="$ \beta_0 $" src="form_53.png"/> factor. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">beta1</td><td><img class="formulaInl" alt="$ \beta_1 $" src="form_54.png"/> factor. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">max_iter_num</td><td>maximal iteration number of the LVM algorithm. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">est_pos[]</td><td>estimated (optimized) position. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">(*f_i)</td><td>pointer to the error function. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">(*jacobian_get_JTJ)</td><td>pointer to the function that calculates the matrix <img class="formulaInl" alt="$ J_f^{T} J_{f} $" src="form_40.png"/>. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">(*jacobian_get_JTf)</td><td>pointer to the function that calculates the vector <img class="formulaInl" alt="$ J_f^{T} \vec{f} $" src="form_38.png"/>. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">(*jacobian_get_J_mul_s)</td><td>pointer to the function that calculates the vector <img class="formulaInl" alt="$ J_f^{T} \vec{s} $" src="form_41.png"/>.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>required iteration number. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="loc__levenberg__marquardt_8c_source.html#l00126">126</a> of file <a class="el" href="loc__levenberg__marquardt_8c_source.html">loc_levenberg_marquardt.c</a>.</p>
+
+<p class="reference">References <a class="el" href="loc__levenberg__marquardt_8c_source.html#l00034">loc_levenberg_marquardt_correction()</a>, <a class="el" href="loc__levenberg__marquardt_8c_source.html#l00236">loc_levenberg_marquardt_get_JTJ_mu2_I()</a>, <a class="el" href="loc__levenberg__marquardt_8c_source.html#l00223">loc_levenberg_marquardt_get_mu0()</a>, <a class="el" href="matrix_8c_source.html#l00602">matrix_mul_scalar()</a>, <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>, <a class="el" href="solve_8c_source.html#l00077">solve_householder()</a>, <a class="el" href="vector_8c_source.html#l00104">vector_add()</a>, <a class="el" href="vector_8c_source.html#l00037">vector_copy()</a>, and <a class="el" href="vector_8c_source.html#l00042">vector_get_norm2()</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="multipath__algo__own__norm__distr__test_8c_source.html#l00038">multipath_algo_own_norm_distr_test()</a>, and <a class="el" href="position__optimization__test_8c_source.html#l00037">position_optimization_test()</a>.</p>
+
+</div>
+</div>
+<a id="a9b2c27f650c9db97f2923b645a8ca5f6"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a9b2c27f650c9db97f2923b645a8ca5f6">◆ </a></span>loc_levenberg_marquardt_correction()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> loc_levenberg_marquardt_correction </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>ref_points_num</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>ref_points_matrix</em>[ref_points_num][3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>point</em>[3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>measured_data_vec</em>[ref_points_num], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>mu</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>s</em>[3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">void(*)(uint8_t ref_point_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_mat[ref_points_num][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> d_vec[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> f_vec[]) </td>
+ <td class="paramname"><em>f_i</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">void(*)(uint8_t ref_points_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_matrix[ref_points_num][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> data_vec[ref_points_num], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> JTJ[3][3]) </td>
+ <td class="paramname"><em>jacobian_get_JTJ</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">void(*)(uint8_t ref_points_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_matrix[ref_points_num][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> data_vec[ref_points_num], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> JTf[3]) </td>
+ <td class="paramname"><em>jacobian_get_JTf</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">void(*)(uint8_t ref_points_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_matrix[ref_points_num][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> s[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J_s[ref_points_num]) </td>
+ <td class="paramname"><em>jacobian_get_J_mul_s</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Implements the correction-function of the Levenberg–Marquardt (LVM) algorithm. </p>
+<p>The user should provide pointers to the error and Jacobian functions. </p><dl class="section note"><dt>Note</dt><dd>This function is optimized for localization algorithms.</dd></dl>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">ref_points_num</td><td>number of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">ref_points_matrix[][]</td><td>three-dimensional coordinates of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">point[]</td><td>a position to adjust. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">measured_data_vec[]</td><td>pointer to the measured data. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">mu</td><td>regularization parameter <img class="formulaInl" alt="$ \mu $" src="form_55.png"/>. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">s[]</td><td>correction vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">(*f_i)</td><td>pointer to the error function. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">(*jacobian_get_JTJ)</td><td>pointer to the function that calculates the matrix <img class="formulaInl" alt="$ J_f^{T} J_{f} $" src="form_40.png"/>. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">(*jacobian_get_JTf)</td><td>pointer to the function that calculates the vector <img class="formulaInl" alt="$ J_f^{T} \vec{f} $" src="form_38.png"/>. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">(*jacobian_get_J_mul_s)</td><td>pointer to the function that calculates the vector <img class="formulaInl" alt="$ J_f^{T} \vec{s} $" src="form_41.png"/></td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the parameter <img class="formulaInl" alt="$ \rho_{\mu} $" src="form_56.png"/> </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="loc__levenberg__marquardt_8c_source.html#l00034">34</a> of file <a class="el" href="loc__levenberg__marquardt_8c_source.html">loc_levenberg_marquardt.c</a>.</p>
+
+<p class="reference">References <a class="el" href="loc__levenberg__marquardt_8c_source.html#l00236">loc_levenberg_marquardt_get_JTJ_mu2_I()</a>, <a class="el" href="matrix_8c_source.html#l00602">matrix_mul_scalar()</a>, <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>, <a class="el" href="solve_8c_source.html#l00077">solve_householder()</a>, <a class="el" href="vector_8c_source.html#l00104">vector_add()</a>, and <a class="el" href="vector_8c_source.html#l00190">vector_get_scalar_product()</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="loc__levenberg__marquardt_8c_source.html#l00126">loc_levenberg_marquardt()</a>.</p>
+
+</div>
+</div>
+<a id="a4bad4d347859b95ac176779b34f26f8e"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a4bad4d347859b95ac176779b34f26f8e">◆ </a></span>loc_levenberg_marquardt_get_JTJ_mu2_I()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void loc_levenberg_marquardt_get_JTJ_mu2_I </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>ref_points_num</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>ref_points_matrix</em>[ref_points_num][3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>point</em>[3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>measured_data_vec</em>[ref_points_num], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>mu</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>JTJ_mu2_I</em>[3][3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">void(*)(uint8_t ref_points_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_matrix[ref_points_num][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> data_vec[ref_points_num], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> JTJ[3][3]) </td>
+ <td class="paramname"><em>jacobian_get_JTJ</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute the matrix <img class="formulaInl" alt="$ J_f^{T} J_f + \mu^{(i)})^{2} I $" src="form_59.png"/>. </p>
+<dl class="section note"><dt>Note</dt><dd>This function is optimized for localization algorithms.</dd></dl>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">ref_points_num</td><td>number of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">ref_points_matrix[][]</td><td>three-dimensional coordinates of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">point[]</td><td>a position to adjust. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">measured_data_vec[]</td><td>pointer to the measured data. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">mu</td><td><img class="formulaInl" alt="$ \rho_{\mu} $" src="form_56.png"/>-parameter </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">JTJ_mu2_I[][]</td><td>includes the matrix <img class="formulaInl" alt="$ J_f^{T} J_f + \mu^{(i)})^{2} I $" src="form_59.png"/>. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">(*jacobian_get_JTJ)</td><td>pointer to the function that calculates the matrix <img class="formulaInl" alt="$ J_f^{T} J_{f} $" src="form_40.png"/>. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="loc__levenberg__marquardt_8c_source.html#l00236">236</a> of file <a class="el" href="loc__levenberg__marquardt_8c_source.html">loc_levenberg_marquardt.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="loc__levenberg__marquardt_8c_source.html#l00126">loc_levenberg_marquardt()</a>, and <a class="el" href="loc__levenberg__marquardt_8c_source.html#l00034">loc_levenberg_marquardt_correction()</a>.</p>
+
+</div>
+</div>
+<a id="a34f52d51278453ca0fc0818a1f73a357"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a34f52d51278453ca0fc0818a1f73a357">◆ </a></span>loc_levenberg_marquardt_get_mu0()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> loc_levenberg_marquardt_get_mu0 </td>
+ <td>(</td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>tau</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>JTJ</em>[3][3] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute the initial value <img class="formulaInl" alt="$ \mu_0 $" src="form_57.png"/> of the Levenberg–Marquardt (LVM) algorithm. </p>
+<p>The user should provide a pointer to the matrix <img class="formulaInl" alt="$ J_f^{T} J_{f} $" src="form_40.png"/>.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">tau</td><td><img class="formulaInl" alt="$ \tau $" src="form_52.png"/> factor. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">JTJ[][]</td><td>pointer to the matrix <img class="formulaInl" alt="$ J_f^T J_f $" src="form_58.png"/>.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><img class="formulaInl" alt="$ \rho_{\mu} $" src="form_56.png"/>-parameter </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="loc__levenberg__marquardt_8c_source.html#l00223">223</a> of file <a class="el" href="loc__levenberg__marquardt_8c_source.html">loc_levenberg_marquardt.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="loc__levenberg__marquardt_8c_source.html#l00126">loc_levenberg_marquardt()</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="navelem"><a class="el" href="dir_ca7b3fe3a5c68321cdadecc73cd5d1a0.html">localization</a></li><li class="navelem"><a class="el" href="dir_6b02df0bd0782e84dd3cd412549b0acc.html">position_optimization</a></li><li class="navelem"><a class="el" href="dir_05fcd006305b35cd419f9fa0533f5c7b.html">include</a></li><li class="navelem"><a class="el" href="loc__levenberg__marquardt_8h.html">loc_levenberg_marquardt.h</a></li>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
+ </ul>
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+</html>
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+<div class="title">loc_levenberg_marquardt.h</div> </div>
+</div><!--header-->
+<div class="contents">
+<a href="loc__levenberg__marquardt_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="preprocessor">#ifndef LOC_LEVENBERG_MARQUARDT_H_</span></div>
+<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#define LOC_LEVENBERG_MARQUARDT_H_</span></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="preprocessor">#include <inttypes.h></span></div>
+<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>  </div>
+<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="preprocessor">#include "<a class="code" href="matrix_8h.html">matrix.h</a>"</span></div>
+<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>  </div>
+<div class="line"><a name="l00056"></a><span class="lineno"> 56</span> uint8_t <a class="code" href="loc__levenberg__marquardt_8h.html#a09fdd720ff5c5658e160657153ee615f">loc_levenberg_marquardt</a>(uint8_t ref_points_num,</div>
+<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_points_matrix[ref_points_num][3],</div>
+<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> start_pos[3],</div>
+<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> measured_data_vec[ref_points_num],</div>
+<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> eps, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> tau, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> beta0,</div>
+<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> beta1, uint8_t max_iter_num,</div>
+<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> est_pos[3],</div>
+<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  <span class="keywordtype">void</span> (*f_i)(uint8_t ref_points_num,</div>
+<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_mat[ref_points_num][3],</div>
+<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> d_vec[], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> f_vec[]),</div>
+<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  <span class="keywordtype">void</span> (*jacobian_get_JTJ)(uint8_t ref_points_num,</div>
+<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_matrix[][3],</div>
+<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3],</div>
+<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> data_vec[ref_points_num],</div>
+<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> JTJ[3][3]),</div>
+<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  <span class="keywordtype">void</span> (*jacobian_get_JTf)(uint8_t ref_points_num,</div>
+<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_matrix[][3],</div>
+<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3],</div>
+<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> data_vec[ref_points_num],</div>
+<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> JTf[3]),</div>
+<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  <span class="keywordtype">void</span> (*jacobian_get_J_mul_s)(uint8_t ref_points_num,</div>
+<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_matrix[][3],</div>
+<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3],</div>
+<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> s[3],</div>
+<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J_s[ref_points_num])</div>
+<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  );</div>
+<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  </div>
+<div class="line"><a name="l00105"></a><span class="lineno"> 105</span> <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> <a class="code" href="loc__levenberg__marquardt_8h.html#a9b2c27f650c9db97f2923b645a8ca5f6">loc_levenberg_marquardt_correction</a>(uint8_t ref_points_num,</div>
+<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_points_matrix[ref_points_num][3],</div>
+<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3],</div>
+<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> measured_data_vec[ref_points_num],</div>
+<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> mu, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> s[3],</div>
+<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  <span class="keywordtype">void</span> (*f_i)(uint8_t ref_point_num,</div>
+<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_mat[ref_points_num][3],</div>
+<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3],</div>
+<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> d_vec[], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> f_vec[]),</div>
+<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  <span class="keywordtype">void</span> (*jacobian_get_JTJ)(</div>
+<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  uint8_t ref_points_num,</div>
+<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_matrix[ref_points_num][3],</div>
+<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3],</div>
+<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> data_vec[ref_points_num],</div>
+<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> JTJ[3][3]),</div>
+<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  <span class="keywordtype">void</span> (*jacobian_get_JTf)(</div>
+<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  uint8_t ref_points_num,</div>
+<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_matrix[ref_points_num][3],</div>
+<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3],</div>
+<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> data_vec[ref_points_num],</div>
+<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> JTf[3]),</div>
+<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  <span class="keywordtype">void</span> (*jacobian_get_J_mul_s)(</div>
+<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  uint8_t ref_points_num,</div>
+<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_matrix[ref_points_num][3],</div>
+<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> s[3],</div>
+<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J_s[ref_points_num])</div>
+<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  );</div>
+<div class="line"><a name="l00143"></a><span class="lineno"> 143</span> <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> <a class="code" href="loc__levenberg__marquardt_8h.html#a34f52d51278453ca0fc0818a1f73a357">loc_levenberg_marquardt_get_mu0</a>(<a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> tau, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> JTJ[3][3]);</div>
+<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  </div>
+<div class="line"><a name="l00145"></a><span class="lineno"> 145</span> <span class="comment">//compute: J'J + mu^2*I</span></div>
+<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  </div>
+<div class="line"><a name="l00163"></a><span class="lineno"> 163</span> <span class="keywordtype">void</span> <a class="code" href="loc__levenberg__marquardt_8h.html#a4bad4d347859b95ac176779b34f26f8e">loc_levenberg_marquardt_get_JTJ_mu2_I</a>(uint8_t ref_points_num,</div>
+<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_points_matrix[ref_points_num][3],</div>
+<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3],</div>
+<div class="line"><a name="l00166"></a><span class="lineno"> 166</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> measured_data_vec[ref_points_num], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> mu,</div>
+<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> JTJ_mu2_I[3][3],</div>
+<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>  <span class="keywordtype">void</span> (*jacobian_get_JTJ)(</div>
+<div class="line"><a name="l00169"></a><span class="lineno"> 169</span>  uint8_t ref_points_num,</div>
+<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_matrix[ref_points_num][3],</div>
+<div class="line"><a name="l00171"></a><span class="lineno"> 171</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3],</div>
+<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> data_vec[ref_points_num],</div>
+<div class="line"><a name="l00173"></a><span class="lineno"> 173</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> JTJ[3][3])</div>
+<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>  );</div>
+<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>  </div>
+<div class="line"><a name="l00176"></a><span class="lineno"> 176</span> <span class="preprocessor">#endif </span><span class="comment">/* LOC_LEVENBERG_MARQUARDT_H_*/</span><span class="preprocessor"></span></div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="aloc__levenberg__marquardt_8h_html_a34f52d51278453ca0fc0818a1f73a357"><div class="ttname"><a href="loc__levenberg__marquardt_8h.html#a34f52d51278453ca0fc0818a1f73a357">loc_levenberg_marquardt_get_mu0</a></div><div class="ttdeci">matrix_t loc_levenberg_marquardt_get_mu0(matrix_t tau, matrix_t JTJ[3][3])</div><div class="ttdoc">Compute the initial value of the Levenberg–Marquardt (LVM) algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="loc__levenberg__marquardt_8c_source.html#l00223">loc_levenberg_marquardt.c:223</a></div></div>
+<div class="ttc" id="aloc__levenberg__marquardt_8h_html_a09fdd720ff5c5658e160657153ee615f"><div class="ttname"><a href="loc__levenberg__marquardt_8h.html#a09fdd720ff5c5658e160657153ee615f">loc_levenberg_marquardt</a></div><div class="ttdeci">uint8_t loc_levenberg_marquardt(uint8_t ref_points_num, matrix_t ref_points_matrix[ref_points_num][3], matrix_t start_pos[3], matrix_t measured_data_vec[ref_points_num], matrix_t eps, matrix_t tau, matrix_t beta0, matrix_t beta1, uint8_t max_iter_num, matrix_t est_pos[3], void(*f_i)(uint8_t ref_points_num, matrix_t ref_point_mat[ref_points_num][3], matrix_t point[3], matrix_t d_vec[], matrix_t f_vec[]), void(*jacobian_get_JTJ)(uint8_t ref_points_num, matrix_t ref_point_matrix[][3], matrix_t point[3], matrix_t data_vec[ref_points_num], matrix_t JTJ[3][3]), void(*jacobian_get_JTf)(uint8_t ref_points_num, matrix_t ref_point_matrix[][3], matrix_t point[3], matrix_t data_vec[ref_points_num], matrix_t JTf[3]), void(*jacobian_get_J_mul_s)(uint8_t ref_points_num, matrix_t ref_point_matrix[][3], matrix_t point[3], matrix_t s[3], matrix_t J_s[ref_points_num]))</div><div class="ttdoc">Implements the Levenberg–Marquardt (LVM) algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="loc__levenberg__marquardt_8c_source.html#l00126">loc_levenberg_marquardt.c:126</a></div></div>
+<div class="ttc" id="aloc__levenberg__marquardt_8h_html_a9b2c27f650c9db97f2923b645a8ca5f6"><div class="ttname"><a href="loc__levenberg__marquardt_8h.html#a9b2c27f650c9db97f2923b645a8ca5f6">loc_levenberg_marquardt_correction</a></div><div class="ttdeci">matrix_t loc_levenberg_marquardt_correction(uint8_t ref_points_num, matrix_t ref_points_matrix[ref_points_num][3], matrix_t point[3], matrix_t measured_data_vec[ref_points_num], matrix_t mu, matrix_t s[3], void(*f_i)(uint8_t ref_point_num, matrix_t ref_point_mat[ref_points_num][3], matrix_t point[3], matrix_t d_vec[], matrix_t f_vec[]), void(*jacobian_get_JTJ)(uint8_t ref_points_num, matrix_t ref_point_matrix[ref_points_num][3], matrix_t point[3], matrix_t data_vec[ref_points_num], matrix_t JTJ[3][3]), void(*jacobian_get_JTf)(uint8_t ref_points_num, matrix_t ref_point_matrix[ref_points_num][3], matrix_t point[3], matrix_t data_vec[ref_points_num], matrix_t JTf[3]), void(*jacobian_get_J_mul_s)(uint8_t ref_points_num, matrix_t ref_point_matrix[ref_points_num][3], matrix_t point[3], matrix_t s[3], matrix_t J_s[ref_points_num]))</div><div class="ttdoc">Implements the correction-function of the Levenberg–Marquardt (LVM) algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="loc__levenberg__marquardt_8c_source.html#l00034">loc_levenberg_marquardt.c:34</a></div></div>
+<div class="ttc" id="amatrix_8h_html"><div class="ttname"><a href="matrix_8h.html">matrix.h</a></div><div class="ttdoc">Matrix computations.</div></div>
+<div class="ttc" id="aloc__levenberg__marquardt_8h_html_a4bad4d347859b95ac176779b34f26f8e"><div class="ttname"><a href="loc__levenberg__marquardt_8h.html#a4bad4d347859b95ac176779b34f26f8e">loc_levenberg_marquardt_get_JTJ_mu2_I</a></div><div class="ttdeci">void loc_levenberg_marquardt_get_JTJ_mu2_I(uint8_t ref_points_num, matrix_t ref_points_matrix[ref_points_num][3], matrix_t point[3], matrix_t measured_data_vec[ref_points_num], matrix_t mu, matrix_t JTJ_mu2_I[3][3], void(*jacobian_get_JTJ)(uint8_t ref_points_num, matrix_t ref_point_matrix[ref_points_num][3], matrix_t point[3], matrix_t data_vec[ref_points_num], matrix_t JTJ[3][3]))</div><div class="ttdoc">Compute the matrix .</div><div class="ttdef"><b>Definition:</b> <a href="loc__levenberg__marquardt_8c_source.html#l00236">loc_levenberg_marquardt.c:236</a></div></div>
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+
+<p>Computes the LU decomposition of the matrix.
+<a href="#details">More...</a></p>
+<div class="textblock"><code>#include <float.h></code><br />
+<code>#include <stdio.h></code><br />
+<code>#include "<a class="el" href="matrix_8h_source.html">matrix.h</a>"</code><br />
+<code>#include "<a class="el" href="vector_8h_source.html">vector.h</a>"</code><br />
+</div>
+<p><a href="lu__decomp_8c_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a8649e9f4b85f17bf35a22b18e7f239d7"><td class="memItemLeft" align="right" valign="top">uint8_t </td><td class="memItemRight" valign="bottom"><a class="el" href="lu__decomp_8c.html#a8649e9f4b85f17bf35a22b18e7f239d7">lu_decomp</a> (uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[][n], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> L[][n], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> P[][n])</td></tr>
+<tr class="memdesc:a8649e9f4b85f17bf35a22b18e7f239d7"><td class="mdescLeft"> </td><td class="mdescRight">Computes the LU decomposition of the matrix. <a href="lu__decomp_8c.html#a8649e9f4b85f17bf35a22b18e7f239d7">More...</a><br /></td></tr>
+<tr class="separator:a8649e9f4b85f17bf35a22b18e7f239d7"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Computes the LU decomposition of the matrix. </p>
+<p>Computes the permutation matrix P such that: A = P'*L*U, where L is a lower triangular matrix and U is an upper triangular matrix. It implements the Gaussian Elimination (GE) with pivoting algorithm.</p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="lu__decomp_8c_source.html">lu_decomp.c</a>.</p>
+</div><h2 class="groupheader">Function Documentation</h2>
+<a id="a8649e9f4b85f17bf35a22b18e7f239d7"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a8649e9f4b85f17bf35a22b18e7f239d7">◆ </a></span>lu_decomp()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">uint8_t lu_decomp </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>A</em>[][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>L</em>[][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>P</em>[][n] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Computes the LU decomposition of the matrix. </p>
+<p>Computes the permutation matrix P such that: A = P'*L*U, where L is a lower triangular matrix and U is an upper triangular matrix. It implements the Gaussian Elimination with pivoting algorithm.</p>
+<dl class="section note"><dt>Note</dt><dd>Matrix U is stored in the matrix A.</dd></dl>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">A[][]</td><td>pointer to the matrices A and U. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">L[][]</td><td>pointer to the L matrix. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">P[][]</td><td>pointer to the P matrix.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the number of changes by computing the LU decomposition. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="lu__decomp_8c_source.html#l00031">31</a> of file <a class="el" href="lu__decomp_8c_source.html">lu_decomp.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8c_source.html#l00703">matrix_get_abs_max_elem_and_index_in_part_column()</a>, <a class="el" href="matrix_8c_source.html#l00594">matrix_get_diag_mat()</a>, <a class="el" href="matrix_8c_source.html#l00736">matrix_part_swap_rows()</a>, <a class="el" href="matrix_8c_source.html#l00725">matrix_swap_rows()</a>, and <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="lu__decomp__test_8c_source.html#l00029">lu_decomp_test()</a>, and <a class="el" href="solve_8c_source.html#l00124">solve_lu_decomp()</a>.</p>
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+<div class="title">lu_decomp.c</div> </div>
+</div><!--header-->
+<div class="contents">
+<a href="lu__decomp_8c.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="preprocessor">#include <float.h></span></div>
+<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#include <stdio.h></span></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="preprocessor">#include "<a class="code" href="matrix_8h.html">matrix.h</a>"</span></div>
+<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="preprocessor">#include "<a class="code" href="vector_8h.html">vector.h</a>"</span></div>
+<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>  </div>
+<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="comment">// U will be saved in A</span></div>
+<div class="line"><a name="l00031"></a><span class="lineno"><a class="line" href="lu__decomp_8c.html#a8649e9f4b85f17bf35a22b18e7f239d7"> 31</a></span> uint8_t <a class="code" href="lu__decomp_8c.html#a8649e9f4b85f17bf35a22b18e7f239d7">lu_decomp</a>(uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[][n], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> L[][n], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> P[][n])</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>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> abs_max_col_elem;</div>
+<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  uint8_t k;</div>
+<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  uint8_t pivot_index;</div>
+<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  uint8_t changes;</div>
+<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> multipliers_vec[n - 1];</div>
+<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  </div>
+<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>  <a class="code" href="matrix_8h.html#a18e47742f1653dcc4491badfe2537a0a">matrix_get_diag_mat</a>(n, n, 1, L);</div>
+<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>  <a class="code" href="matrix_8h.html#a18e47742f1653dcc4491badfe2537a0a">matrix_get_diag_mat</a>(n, n, 1, P);</div>
+<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  changes = 0;</div>
+<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  <span class="keywordflow">for</span> (uint8_t i = 0; i < n - 1; i++) {</div>
+<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  abs_max_col_elem =</div>
+<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  <a class="code" href="matrix_8h.html#a5f6a1948ec005cff4985559821c4943f">matrix_get_abs_max_elem_and_index_in_part_column</a>(</div>
+<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  n, n, A, i, i, &k);</div>
+<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  <span class="keywordflow">if</span> (abs_max_col_elem <= FLT_EPSILON) {</div>
+<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  <span class="keywordflow">continue</span>;</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>  </div>
+<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  pivot_index = k;</div>
+<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  </div>
+<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  <span class="keywordflow">if</span> (pivot_index != i) {</div>
+<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  <span class="comment">//Swap the rows at the position i and pivot_index of the matrix A(i, i:n)</span></div>
+<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  <a class="code" href="matrix_8h.html#a3570c016691507c003dd7a54cb37e7e2">matrix_part_swap_rows</a>(n, A, i, k, i, n - 1);</div>
+<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  </div>
+<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  <span class="comment">//Swap the matrix P at the rows i and pivot_index</span></div>
+<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  <a class="code" href="matrix_8h.html#a875d6c55a16ee9f8bf523b8c1c82bc6f">matrix_swap_rows</a>(n, P, i, k);</div>
+<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  </div>
+<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  <span class="comment">//Swap the rows of L in columns 0 through i-1. //FIXED</span></div>
+<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  <span class="keywordflow">if</span> (i >= 1) {</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>  <a class="code" href="matrix_8h.html#a3570c016691507c003dd7a54cb37e7e2">matrix_part_swap_rows</a>(n, L, i, k, 0, i - 1);</div>
+<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  }</div>
+<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  changes++;</div>
+<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  } <span class="comment">//if</span></div>
+<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  </div>
+<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  <span class="keywordflow">for</span> (uint8_t j = i + 1; j < n; j++) {</div>
+<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  <span class="comment">//compute multipliers</span></div>
+<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  multipliers_vec[j - 1] = A[j][i] / A[i][i];</div>
+<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  <span class="comment">//update the matrix A</span></div>
+<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  <span class="keywordflow">for</span> (uint8_t l = i + 1; l < n; l++) {</div>
+<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  A[j][l] = A[j][l]</div>
+<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  - multipliers_vec[j - 1]</div>
+<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  * A[i][l];</div>
+<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  }</div>
+<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  <span class="comment">//zero out the elements of column i, from row i+1 to n-1.</span></div>
+<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  A[j][i] = 0;</div>
+<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  <span class="comment">// Set the matrix L with the multipliers</span></div>
+<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  L[j][i] = multipliers_vec[j - 1];</div>
+<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  }</div>
+<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  </div>
+<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  } <span class="comment">//for</span></div>
+<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  </div>
+<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  <span class="keywordflow">return</span> changes;</div>
+<div class="line"><a name="l00085"></a><span class="lineno"> 85</span> }</div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="amatrix_8h_html_a875d6c55a16ee9f8bf523b8c1c82bc6f"><div class="ttname"><a href="matrix_8h.html#a875d6c55a16ee9f8bf523b8c1c82bc6f">matrix_swap_rows</a></div><div class="ttdeci">void matrix_swap_rows(uint8_t n, matrix_t matrix[][n], uint8_t i, uint8_t j)</div><div class="ttdoc">Swaps two rows of a matrix.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00725">matrix.c:725</a></div></div>
+<div class="ttc" id="amatrix_8h_html"><div class="ttname"><a href="matrix_8h.html">matrix.h</a></div><div class="ttdoc">Matrix computations.</div></div>
+<div class="ttc" id="amatrix_8h_html_a18e47742f1653dcc4491badfe2537a0a"><div class="ttname"><a href="matrix_8h.html#a18e47742f1653dcc4491badfe2537a0a">matrix_get_diag_mat</a></div><div class="ttdeci">void matrix_get_diag_mat(uint8_t m, uint8_t n, matrix_t value, matrix_t diag_matrix[m][n])</div><div class="ttdoc">Create a diagonal matrix with a specified value.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00594">matrix.c:594</a></div></div>
+<div class="ttc" id="amatrix_8h_html_af38ac6b76d645fea9abd6caeb4d9dd31"><div class="ttname"><a href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a></div><div class="ttdeci">#define matrix_t</div><div class="ttdoc">Define the data type of the matrix elements.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8h_source.html#l00038">matrix.h:38</a></div></div>
+<div class="ttc" id="avector_8h_html"><div class="ttname"><a href="vector_8h.html">vector.h</a></div><div class="ttdoc">Vector computations.</div></div>
+<div class="ttc" id="amatrix_8h_html_a3570c016691507c003dd7a54cb37e7e2"><div class="ttname"><a href="matrix_8h.html#a3570c016691507c003dd7a54cb37e7e2">matrix_part_swap_rows</a></div><div class="ttdeci">void matrix_part_swap_rows(uint8_t n, matrix_t matrix[][n], uint8_t i, uint8_t j, uint8_t col_begin, uint8_t col_end)</div><div class="ttdoc">Swaps two rows of a sub-matrix.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00736">matrix.c:736</a></div></div>
+<div class="ttc" id="amatrix_8h_html_a5f6a1948ec005cff4985559821c4943f"><div class="ttname"><a href="matrix_8h.html#a5f6a1948ec005cff4985559821c4943f">matrix_get_abs_max_elem_and_index_in_part_column</a></div><div class="ttdeci">matrix_t matrix_get_abs_max_elem_and_index_in_part_column(uint8_t max_m, uint8_t max_n, matrix_t matrix[max_m][max_n], uint8_t row_num, uint8_t col_num, uint8_t *index)</div><div class="ttdoc">Get the maximum absolute value and its position in a column vector in a sub-matrix.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00703">matrix.c:703</a></div></div>
+<div class="ttc" id="alu__decomp_8c_html_a8649e9f4b85f17bf35a22b18e7f239d7"><div class="ttname"><a href="lu__decomp_8c.html#a8649e9f4b85f17bf35a22b18e7f239d7">lu_decomp</a></div><div class="ttdeci">uint8_t lu_decomp(uint8_t n, matrix_t A[][n], matrix_t L[][n], matrix_t P[][n])</div><div class="ttdoc">Computes the LU decomposition of the matrix.</div><div class="ttdef"><b>Definition:</b> <a href="lu__decomp_8c_source.html#l00031">lu_decomp.c:31</a></div></div>
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+<a href="#func-members">Functions</a> </div>
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+<div class="title">lu_decomp.h File Reference<div class="ingroups"><a class="el" href="group__linear__algebra.html">LINEAR_ALGEBRA</a> » <a class="el" href="group__matrix__decompositions.html">MATRIX_DECOMPOSITIONS</a></div></div> </div>
+</div><!--header-->
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+
+<p>Computes the LU decomposition of the matrix.
+<a href="#details">More...</a></p>
+<div class="textblock"><code>#include "<a class="el" href="matrix_8h_source.html">matrix.h</a>"</code><br />
+</div>
+<p><a href="lu__decomp_8h_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a8649e9f4b85f17bf35a22b18e7f239d7"><td class="memItemLeft" align="right" valign="top">uint8_t </td><td class="memItemRight" valign="bottom"><a class="el" href="lu__decomp_8h.html#a8649e9f4b85f17bf35a22b18e7f239d7">lu_decomp</a> (uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[][n], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> L[][n], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> P[][n])</td></tr>
+<tr class="memdesc:a8649e9f4b85f17bf35a22b18e7f239d7"><td class="mdescLeft"> </td><td class="mdescRight">Computes the LU decomposition of the matrix. <a href="lu__decomp_8h.html#a8649e9f4b85f17bf35a22b18e7f239d7">More...</a><br /></td></tr>
+<tr class="separator:a8649e9f4b85f17bf35a22b18e7f239d7"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Computes the LU decomposition of the matrix. </p>
+<p>Computes the permutation matrix P such that: A = P'*L*U, where L is a lower triangular matrix and U is an upper triangular matrix. It implements the Gaussian Elimination (GE) with pivoting algorithm.</p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="lu__decomp_8h_source.html">lu_decomp.h</a>.</p>
+</div><h2 class="groupheader">Function Documentation</h2>
+<a id="a8649e9f4b85f17bf35a22b18e7f239d7"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a8649e9f4b85f17bf35a22b18e7f239d7">◆ </a></span>lu_decomp()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">uint8_t lu_decomp </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>A</em>[][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>L</em>[][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>P</em>[][n] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Computes the LU decomposition of the matrix. </p>
+<p>Computes the permutation matrix P such that: A = P'*L*U, where L is a lower triangular matrix and U is an upper triangular matrix. It implements the Gaussian Elimination with pivoting algorithm.</p>
+<dl class="section note"><dt>Note</dt><dd>Matrix U is stored in the matrix A.</dd></dl>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">A[][]</td><td>pointer to the matrices A and U. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">L[][]</td><td>pointer to the L matrix. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">P[][]</td><td>pointer to the P matrix.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the number of changes by computing the LU decomposition. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="lu__decomp_8c_source.html#l00031">31</a> of file <a class="el" href="lu__decomp_8c_source.html">lu_decomp.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8c_source.html#l00703">matrix_get_abs_max_elem_and_index_in_part_column()</a>, <a class="el" href="matrix_8c_source.html#l00594">matrix_get_diag_mat()</a>, <a class="el" href="matrix_8c_source.html#l00736">matrix_part_swap_rows()</a>, <a class="el" href="matrix_8c_source.html#l00725">matrix_swap_rows()</a>, and <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="lu__decomp__test_8c_source.html#l00029">lu_decomp_test()</a>, and <a class="el" href="solve_8c_source.html#l00124">solve_lu_decomp()</a>.</p>
+
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+<div class="title">lu_decomp.h</div> </div>
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+<div class="contents">
+<a href="lu__decomp_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="preprocessor">#ifndef LU_DECOMP_H_</span></div>
+<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#define LU_DECOMP_H_</span></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="preprocessor">#include "<a class="code" href="matrix_8h.html">matrix.h</a>"</span></div>
+<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>  </div>
+<div class="line"><a name="l00044"></a><span class="lineno"> 44</span> uint8_t <a class="code" href="lu__decomp_8h.html#a8649e9f4b85f17bf35a22b18e7f239d7">lu_decomp</a>(uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[][n], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> L[][n], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> P[][n]);</div>
+<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  </div>
+<div class="line"><a name="l00046"></a><span class="lineno"> 46</span> <span class="preprocessor">#endif </span><span class="comment">/*LU_DECOMP_H_ */</span><span class="preprocessor"></span></div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="amatrix_8h_html"><div class="ttname"><a href="matrix_8h.html">matrix.h</a></div><div class="ttdoc">Matrix computations.</div></div>
+<div class="ttc" id="alu__decomp_8h_html_a8649e9f4b85f17bf35a22b18e7f239d7"><div class="ttname"><a href="lu__decomp_8h.html#a8649e9f4b85f17bf35a22b18e7f239d7">lu_decomp</a></div><div class="ttdeci">uint8_t lu_decomp(uint8_t n, matrix_t A[][n], matrix_t L[][n], matrix_t P[][n])</div><div class="ttdoc">Computes the LU decomposition of the matrix.</div><div class="ttdef"><b>Definition:</b> <a href="lu__decomp_8c_source.html#l00031">lu_decomp.c:31</a></div></div>
+<div class="ttc" id="amatrix_8h_html_af38ac6b76d645fea9abd6caeb4d9dd31"><div class="ttname"><a href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a></div><div class="ttdeci">#define matrix_t</div><div class="ttdoc">Define the data type of the matrix elements.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8h_source.html#l00038">matrix.h:38</a></div></div>
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+<a href="#func-members">Functions</a> </div>
+ <div class="headertitle">
+<div class="title">lu_decomp_test.c File Reference</div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Examples of the LU algorithm with pivoting.
+<a href="#details">More...</a></p>
+<div class="textblock"><code>#include <stdio.h></code><br />
+<code>#include "<a class="el" href="matrix_8h_source.html">matrix.h</a>"</code><br />
+<code>#include "<a class="el" href="lu__decomp_8h_source.html">lu_decomp.h</a>"</code><br />
+</div>
+<p><a href="lu__decomp__test_8c_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a5798fee8a59a44f3a6a712ffd700dfd1"><td class="memItemLeft" align="right" valign="top"><a id="a5798fee8a59a44f3a6a712ffd700dfd1"></a>
+void </td><td class="memItemRight" valign="bottom"><a class="el" href="lu__decomp__test_8c.html#a5798fee8a59a44f3a6a712ffd700dfd1">lu_decomp_test</a> (void)</td></tr>
+<tr class="memdesc:a5798fee8a59a44f3a6a712ffd700dfd1"><td class="mdescLeft"> </td><td class="mdescRight">Examples of the LU algorithm with pivoting. <br /></td></tr>
+<tr class="separator:a5798fee8a59a44f3a6a712ffd700dfd1"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Examples of the LU algorithm with pivoting. </p>
+<p>LU algorithm with pivoting examples (see the <a class="el" href="lu__decomp_8h.html">Gaussian Elimination with pivoting</a> approach).</p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="lu__decomp__test_8c_source.html">lu_decomp_test.c</a>.</p>
+</div></div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
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+ <li class="navelem"><a class="el" href="dir_d28a4824dc47e487b107a5db32ef43c4.html">examples</a></li><li class="navelem"><a class="el" href="dir_bb878afedbb83074fe4b7f6b65e06747.html">linear_algebra</a></li><li class="navelem"><a class="el" href="dir_7288dc322cfbdfeb7861adfdccb1ddcd.html">matrix_decompositions</a></li><li class="navelem"><a class="el" href="lu__decomp__test_8c.html">lu_decomp_test.c</a></li>
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diff --git a/doc/doxygen/html/lu__decomp__test_8c.js b/doc/doxygen/html/lu__decomp__test_8c.js
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+<div class="title">lu_decomp_test.c</div> </div>
+</div><!--header-->
+<div class="contents">
+<a href="lu__decomp__test_8c.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="preprocessor">#include <stdio.h></span></div>
+<div class="line"><a name="l00025"></a><span class="lineno"> 25</span>  </div>
+<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="preprocessor">#include "<a class="code" href="matrix_8h.html">matrix.h</a>"</span></div>
+<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="preprocessor">#include "<a class="code" href="lu__decomp_8h.html">lu_decomp.h</a>"</span></div>
+<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>  </div>
+<div class="line"><a name="l00029"></a><span class="lineno"><a class="line" href="lu__decomp__test_8c.html#a5798fee8a59a44f3a6a712ffd700dfd1"> 29</a></span> <span class="keywordtype">void</span> <a class="code" href="lu__decomp__test_8c.html#a5798fee8a59a44f3a6a712ffd700dfd1">lu_decomp_test</a>(<span class="keywordtype">void</span>)</div>
+<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> {</div>
+<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[5][5] = { { 0.8147, 0.1576, 0.6557, 0.7060, 0.4387 },</div>
+<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>  { 0.9058, 0.9706, 0.0357, 0.0318, 0.3816 },</div>
+<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>  { 0.1270, 0.9572, 0.8491, 0.2769, 0.7655 },</div>
+<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  { 0.9134, 0.4854, 0.9340, 0.0462, 0.7952 },</div>
+<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  { 0.6324, 0.8003, 0.6787, 0.0971, 0.1869 }, };</div>
+<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  uint8_t n;</div>
+<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  </div>
+<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  n = 5;</div>
+<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> L[n][n];</div>
+<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> P[n][n];</div>
+<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  <a class="code" href="lu__decomp_8h.html#a8649e9f4b85f17bf35a22b18e7f239d7">lu_decomp</a>(n, A, L, P);</div>
+<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  printf(<span class="stringliteral">"L = "</span>);</div>
+<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  <a class="code" href="matrix_8h.html#a82f374a9b8b215f0ef53d35401eae524">matrix_flex_print</a>(n, n, L, 7, 4);</div>
+<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  printf(<span class="stringliteral">"U = "</span>);</div>
+<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  <a class="code" href="matrix_8h.html#a82f374a9b8b215f0ef53d35401eae524">matrix_flex_print</a>(n, n, A, 7, 4);</div>
+<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  printf(<span class="stringliteral">"P = "</span>);</div>
+<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  <a class="code" href="matrix_8h.html#a82f374a9b8b215f0ef53d35401eae524">matrix_flex_print</a>(n, n, P, 7, 4);</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="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> B[11][11] = {</div>
+<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  { 0.4387, 0.6797, 0.5060, 0.2435, 0.9172, 0.1299, 0.2630, 0.9961, 0.2599, 0.1450,</div>
+<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  0.4173 },</div>
+<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  { 0.3816, 0.6551, 0.6991, 0.9293, 0.2858, 0.5688, 0.6541, 0.0782, 0.8001, 0.8530,</div>
+<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  0.0497 },</div>
+<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  { 0.7655, 0.1626, 0.8909, 0.3500, 0.7572, 0.4694, 0.6892, 0.4427, 0.4314, 0.6221,</div>
+<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  0.9027 },</div>
+<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  { 0.7952, 0.1190, 0.9593, 0.1966, 0.7537, 0.0119, 0.7482, 0.1067, 0.9106, 0.3510,</div>
+<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  0.9448 },</div>
+<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  { 0.1869, 0.4984, 0.5472, 0.2511, 0.3804, 0.3371, 0.4505, 0.9619, 0.1818, 0.5132,</div>
+<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  0.4909 },</div>
+<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  { 0.4898, 0.9597, 0.1386, 0.6160, 0.5678, 0.1622, 0.0838, 0.0046, 0.2638, 0.4018,</div>
+<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  0.4893 },</div>
+<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  { 0.4456, 0.3404, 0.1493, 0.4733, 0.0759, 0.7943, 0.2290, 0.7749, 0.1455, 0.0760,</div>
+<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  0.3377 },</div>
+<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  { 0.6463, 0.5853, 0.2575, 0.3517, 0.0540, 0.3112, 0.9133, 0.8173, 0.1361, 0.2399,</div>
+<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  0.9001 },</div>
+<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  { 0.7094, 0.2238, 0.8407, 0.8308, 0.5308, 0.5285, 0.1524, 0.8687, 0.8693, 0.1233,</div>
+<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  0.3692 },</div>
+<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  { 0.7547, 0.7513, 0.2543, 0.5853, 0.7792, 0.1656, 0.8258, 0.0844, 0.5797, 0.1839,</div>
+<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  0.1112 },</div>
+<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  { 0.2760, 0.2551, 0.8143, 0.5497, 0.9340, 0.6020, 0.5383, 0.3998, 0.5499, 0.2400,</div>
+<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  0.7803 }</div>
+<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  };</div>
+<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  </div>
+<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  n = 11;</div>
+<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> L1[n][n];</div>
+<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> P1[n][n];</div>
+<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  <a class="code" href="lu__decomp_8h.html#a8649e9f4b85f17bf35a22b18e7f239d7">lu_decomp</a>(n, B, L1, P1);</div>
+<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  printf(<span class="stringliteral">"L1 = "</span>);</div>
+<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  <a class="code" href="matrix_8h.html#a82f374a9b8b215f0ef53d35401eae524">matrix_flex_print</a>(n, n, L1, 7, 4);</div>
+<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  printf(<span class="stringliteral">"U1 = "</span>);</div>
+<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  <a class="code" href="matrix_8h.html#a82f374a9b8b215f0ef53d35401eae524">matrix_flex_print</a>(n, n, B, 7, 4);</div>
+<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  printf(<span class="stringliteral">"P1 = "</span>);</div>
+<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  <a class="code" href="matrix_8h.html#a82f374a9b8b215f0ef53d35401eae524">matrix_flex_print</a>(n, n, P1, 7, 4);</div>
+<div class="line"><a name="l00084"></a><span class="lineno"> 84</span> }</div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="alu__decomp_8h_html"><div class="ttname"><a href="lu__decomp_8h.html">lu_decomp.h</a></div><div class="ttdoc">Computes the LU decomposition of the matrix.</div></div>
+<div class="ttc" id="amatrix_8h_html"><div class="ttname"><a href="matrix_8h.html">matrix.h</a></div><div class="ttdoc">Matrix computations.</div></div>
+<div class="ttc" id="amatrix_8h_html_a82f374a9b8b215f0ef53d35401eae524"><div class="ttname"><a href="matrix_8h.html#a82f374a9b8b215f0ef53d35401eae524">matrix_flex_print</a></div><div class="ttdeci">void matrix_flex_print(uint8_t m, uint8_t n, matrix_t matrix[m][n], uint8_t before_dec, uint8_t after_dec)</div><div class="ttdoc">Display the values of the matrix elements.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00220">matrix.c:220</a></div></div>
+<div class="ttc" id="alu__decomp__test_8c_html_a5798fee8a59a44f3a6a712ffd700dfd1"><div class="ttname"><a href="lu__decomp__test_8c.html#a5798fee8a59a44f3a6a712ffd700dfd1">lu_decomp_test</a></div><div class="ttdeci">void lu_decomp_test(void)</div><div class="ttdoc">Examples of the LU algorithm with pivoting.</div><div class="ttdef"><b>Definition:</b> <a href="lu__decomp__test_8c_source.html#l00029">lu_decomp_test.c:29</a></div></div>
+<div class="ttc" id="alu__decomp_8h_html_a8649e9f4b85f17bf35a22b18e7f239d7"><div class="ttname"><a href="lu__decomp_8h.html#a8649e9f4b85f17bf35a22b18e7f239d7">lu_decomp</a></div><div class="ttdeci">uint8_t lu_decomp(uint8_t n, matrix_t A[][n], matrix_t L[][n], matrix_t P[][n])</div><div class="ttdoc">Computes the LU decomposition of the matrix.</div><div class="ttdef"><b>Definition:</b> <a href="lu__decomp_8c_source.html#l00031">lu_decomp.c:31</a></div></div>
+<div class="ttc" id="amatrix_8h_html_af38ac6b76d645fea9abd6caeb4d9dd31"><div class="ttname"><a href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a></div><div class="ttdeci">#define matrix_t</div><div class="ttdoc">Define the data type of the matrix elements.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8h_source.html#l00038">matrix.h:38</a></div></div>
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+<a href="#func-members">Functions</a> </div>
+ <div class="headertitle">
+<div class="title">lu_decomp_test.h File Reference<div class="ingroups"><a class="el" href="group__examples.html">EXAMPLES</a></div></div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Examples of the LU algorithm with pivoting.
+<a href="#details">More...</a></p>
+
+<p><a href="lu__decomp__test_8h_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a5798fee8a59a44f3a6a712ffd700dfd1"><td class="memItemLeft" align="right" valign="top"><a id="a5798fee8a59a44f3a6a712ffd700dfd1"></a>
+void </td><td class="memItemRight" valign="bottom"><a class="el" href="lu__decomp__test_8h.html#a5798fee8a59a44f3a6a712ffd700dfd1">lu_decomp_test</a> (void)</td></tr>
+<tr class="memdesc:a5798fee8a59a44f3a6a712ffd700dfd1"><td class="mdescLeft"> </td><td class="mdescRight">Examples of the LU algorithm with pivoting. <br /></td></tr>
+<tr class="separator:a5798fee8a59a44f3a6a712ffd700dfd1"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Examples of the LU algorithm with pivoting. </p>
+<p>LU algorithm with pivoting examples (see the <a class="el" href="lu__decomp_8h.html">Gaussian Elimination with pivoting</a> approach).</p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="lu__decomp__test_8h_source.html">lu_decomp_test.h</a>.</p>
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+<div class="title">lu_decomp_test.h</div> </div>
+</div><!--header-->
+<div class="contents">
+<a href="lu__decomp__test_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#ifndef LU_DECOMP_TEST_H_</span></div>
+<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="preprocessor">#define LU_DECOMP_TEST_H_</span></div>
+<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>  </div>
+<div class="line"><a name="l00032"></a><span class="lineno"> 32</span> <span class="keywordtype">void</span> <a class="code" href="lu__decomp__test_8h.html#a5798fee8a59a44f3a6a712ffd700dfd1">lu_decomp_test</a>(<span class="keywordtype">void</span>);</div>
+<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>  </div>
+<div class="line"><a name="l00034"></a><span class="lineno"> 34</span> <span class="preprocessor">#endif </span><span class="comment">/* LU_DECOMP_TEST_H_ */</span><span class="preprocessor"></span></div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="alu__decomp__test_8h_html_a5798fee8a59a44f3a6a712ffd700dfd1"><div class="ttname"><a href="lu__decomp__test_8h.html#a5798fee8a59a44f3a6a712ffd700dfd1">lu_decomp_test</a></div><div class="ttdeci">void lu_decomp_test(void)</div><div class="ttdoc">Examples of the LU algorithm with pivoting.</div><div class="ttdef"><b>Definition:</b> <a href="lu__decomp__test_8c_source.html#l00029">lu_decomp_test.c:29</a></div></div>
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diff --git a/doc/doxygen/html/magnetic__based__fi_8c.html b/doc/doxygen/html/magnetic__based__fi_8c.html
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+ <div id="projectname">RcdMathLib_doc
+ </div>
+ <div id="projectbrief">Open Source Library for Linear and Non-linear Algebra</div>
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+/* @license-end */
+</script>
+<div id="doc-content">
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+ onmouseover="return searchBox.OnSearchSelectShow()"
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+ 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">magnetic_based_fi.c File Reference</div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Error function of DC-pulsed, magnetic localization system.
+<a href="#details">More...</a></p>
+<div class="textblock"><code>#include <math.h></code><br />
+<code>#include <inttypes.h></code><br />
+<code>#include <<a class="el" href="magnetic__based__position_8h_source.html">magnetic_based_position.h</a>></code><br />
+<code>#include "<a class="el" href="matrix_8h_source.html">matrix.h</a>"</code><br />
+</div>
+<p><a href="magnetic__based__fi_8c_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a897f5c675ad714feb9f2ae7571de620a"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="magnetic__based__fi_8c.html#a897f5c675ad714feb9f2ae7571de620a">magnetic_based_f_i</a> (uint8_t ref_points_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_points_matrix[][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> Bi_vec[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> f_vec[])</td></tr>
+<tr class="memdesc:a897f5c675ad714feb9f2ae7571de620a"><td class="mdescLeft"> </td><td class="mdescRight">Defines the error function of a magnetic-based localization system. <a href="magnetic__based__fi_8c.html#a897f5c675ad714feb9f2ae7571de620a">More...</a><br /></td></tr>
+<tr class="separator:a897f5c675ad714feb9f2ae7571de620a"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Error function of DC-pulsed, magnetic localization system. </p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd>
+<dd>
+Naouar Guerchali </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="magnetic__based__fi_8c_source.html">magnetic_based_fi.c</a>.</p>
+</div><h2 class="groupheader">Function Documentation</h2>
+<a id="a897f5c675ad714feb9f2ae7571de620a"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a897f5c675ad714feb9f2ae7571de620a">◆ </a></span>magnetic_based_f_i()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void magnetic_based_f_i </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>ref_points_num</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>ref_points_matrix</em>[][3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>point</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>Bi_vec</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>f_vec</em>[] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Defines the error function of a magnetic-based localization system. </p>
+<p>This error function is related to multiple reference stations.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">ref_points_num</td><td>number of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">ref_points_matrix[][]</td><td>three-dimensional coordinates of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">point[]</td><td>three-dimensional coordinates of the mobile device. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">Bi_vec[]</td><td>the measured magnetic field strength. </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">f_vec[]</td><td>errors related to reference stations and destined position. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="magnetic__based__fi_8c_source.html#l00029">29</a> of file <a class="el" href="magnetic__based__fi_8c_source.html">magnetic_based_fi.c</a>.</p>
+
+<p class="reference">References <a class="el" href="magnetic__based__position_8h_source.html#l00075">K_T</a>, and <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="magnetic__based__jacobian_8c_source.html#l00112">magnetic_based_jacobian_get_JTf()</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="navelem"><a class="el" href="dir_ca7b3fe3a5c68321cdadecc73cd5d1a0.html">localization</a></li><li class="navelem"><a class="el" href="dir_fdc176930829c278cabf5fddd85dbef8.html">position_algos</a></li><li class="navelem"><a class="el" href="dir_9f6bed594baf424ccac6ba79953e888e.html">magnetic_based</a></li><li class="navelem"><a class="el" href="magnetic__based__fi_8c.html">magnetic_based_fi.c</a></li>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
+ </ul>
+</div>
+</body>
+</html>
diff --git a/doc/doxygen/html/magnetic__based__fi_8c.js b/doc/doxygen/html/magnetic__based__fi_8c.js
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@@ -0,0 +1,4 @@
+var magnetic__based__fi_8c =
+[
+ [ "magnetic_based_f_i", "magnetic__based__fi_8c.html#a897f5c675ad714feb9f2ae7571de620a", null ]
+];
\ No newline at end of file
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+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "https://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
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+<div class="title">magnetic_based_fi.c</div> </div>
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+<div class="contents">
+<a href="magnetic__based__fi_8c.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="preprocessor">#include <math.h></span></div>
+<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="preprocessor">#include <inttypes.h></span></div>
+<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#include <<a class="code" href="magnetic__based__position_8h.html">magnetic_based_position.h</a>></span></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="preprocessor">#include "<a class="code" href="matrix_8h.html">matrix.h</a>"</span></div>
+<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>  </div>
+<div class="line"><a name="l00029"></a><span class="lineno"><a class="line" href="magnetic__based__fi_8c.html#a897f5c675ad714feb9f2ae7571de620a"> 29</a></span> <span class="keywordtype">void</span> <a class="code" href="magnetic__based__fi_8c.html#a897f5c675ad714feb9f2ae7571de620a">magnetic_based_f_i</a>(uint8_t ref_points_num,</div>
+<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_points_matrix[][3], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[],</div>
+<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> Bi_vec[], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> f_vec[])</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>  </div>
+<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < ref_points_num; i++) {</div>
+<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  </div>
+<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> X_Xi_sq = pow(point[0] - ref_points_matrix[i][0], 2);</div>
+<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> Y_Yi_sq = pow(point[1] - ref_points_matrix[i][1], 2);</div>
+<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> Z_Zi_sq = pow(point[2] - ref_points_matrix[i][2], 2);</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>  f_vec[i] = (<a class="code" href="magnetic__based__position_8h.html#a3ee4ec231172a5fd866f72acead15bc4">K_T</a> * (sqrt(X_Xi_sq + Y_Yi_sq + 4.0 * Z_Zi_sq)) /</div>
+<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  pow((X_Xi_sq + Y_Yi_sq + Z_Zi_sq), 2))</div>
+<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  - Bi_vec[i];</div>
+<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  }</div>
+<div class="line"><a name="l00044"></a><span class="lineno"> 44</span> }</div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="amagnetic__based__position_8h_html"><div class="ttname"><a href="magnetic__based__position_8h.html">magnetic_based_position.h</a></div><div class="ttdoc">Functions of of DC-pulsed, magnetic localization system.</div></div>
+<div class="ttc" id="amatrix_8h_html"><div class="ttname"><a href="matrix_8h.html">matrix.h</a></div><div class="ttdoc">Matrix computations.</div></div>
+<div class="ttc" id="amagnetic__based__fi_8c_html_a897f5c675ad714feb9f2ae7571de620a"><div class="ttname"><a href="magnetic__based__fi_8c.html#a897f5c675ad714feb9f2ae7571de620a">magnetic_based_f_i</a></div><div class="ttdeci">void magnetic_based_f_i(uint8_t ref_points_num, matrix_t ref_points_matrix[][3], matrix_t point[], matrix_t Bi_vec[], matrix_t f_vec[])</div><div class="ttdoc">Defines the error function of a magnetic-based localization system.</div><div class="ttdef"><b>Definition:</b> <a href="magnetic__based__fi_8c_source.html#l00029">magnetic_based_fi.c:29</a></div></div>
+<div class="ttc" id="amagnetic__based__position_8h_html_a3ee4ec231172a5fd866f72acead15bc4"><div class="ttname"><a href="magnetic__based__position_8h.html#a3ee4ec231172a5fd866f72acead15bc4">K_T</a></div><div class="ttdeci">#define K_T</div><div class="ttdoc">The number of turns of the wire.</div><div class="ttdef"><b>Definition:</b> <a href="magnetic__based__position_8h_source.html#l00075">magnetic_based_position.h:75</a></div></div>
+<div class="ttc" id="amatrix_8h_html_af38ac6b76d645fea9abd6caeb4d9dd31"><div class="ttname"><a href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a></div><div class="ttdeci">#define matrix_t</div><div class="ttdoc">Define the data type of the matrix elements.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8h_source.html#l00038">matrix.h:38</a></div></div>
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+<div class="header">
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+<a href="#func-members">Functions</a> </div>
+ <div class="headertitle">
+<div class="title">magnetic_based_fi.h File Reference<div class="ingroups"><a class="el" href="group__localization.html">LOCALIZATION</a> » <a class="el" href="group__position__algos.html">POSITION_ALGOS</a> » <a class="el" href="group__magnetic__based.html">MAGNETIC_BASED</a></div></div> </div>
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+<div class="contents">
+
+<p>Error function of DC-pulsed, magnetic localization system.
+<a href="#details">More...</a></p>
+<div class="textblock"><code>#include <math.h></code><br />
+<code>#include <string.h></code><br />
+<code>#include "<a class="el" href="matrix_8h_source.html">matrix.h</a>"</code><br />
+</div>
+<p><a href="magnetic__based__fi_8h_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a897f5c675ad714feb9f2ae7571de620a"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="magnetic__based__fi_8h.html#a897f5c675ad714feb9f2ae7571de620a">magnetic_based_f_i</a> (uint8_t ref_points_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_points_matrix[][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> Bi_vec[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> f_vec[])</td></tr>
+<tr class="memdesc:a897f5c675ad714feb9f2ae7571de620a"><td class="mdescLeft"> </td><td class="mdescRight">Defines the error function of a magnetic-based localization system. <a href="magnetic__based__fi_8h.html#a897f5c675ad714feb9f2ae7571de620a">More...</a><br /></td></tr>
+<tr class="separator:a897f5c675ad714feb9f2ae7571de620a"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Error function of DC-pulsed, magnetic localization system. </p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd>
+<dd>
+Naouar Guerchali </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="magnetic__based__fi_8h_source.html">magnetic_based_fi.h</a>.</p>
+</div><h2 class="groupheader">Function Documentation</h2>
+<a id="a897f5c675ad714feb9f2ae7571de620a"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a897f5c675ad714feb9f2ae7571de620a">◆ </a></span>magnetic_based_f_i()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void magnetic_based_f_i </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>ref_points_num</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>ref_points_matrix</em>[][3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>point</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>Bi_vec</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>f_vec</em>[] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Defines the error function of a magnetic-based localization system. </p>
+<p>This error function is related to multiple reference stations.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">ref_points_num</td><td>number of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">ref_points_matrix[][]</td><td>three-dimensional coordinates of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">point[]</td><td>three-dimensional coordinates of the mobile device. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">Bi_vec[]</td><td>the measured magnetic field strength. </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">f_vec[]</td><td>errors related to reference stations and destined position. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="magnetic__based__fi_8c_source.html#l00029">29</a> of file <a class="el" href="magnetic__based__fi_8c_source.html">magnetic_based_fi.c</a>.</p>
+
+<p class="reference">References <a class="el" href="magnetic__based__position_8h_source.html#l00075">K_T</a>, and <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="magnetic__based__jacobian_8c_source.html#l00112">magnetic_based_jacobian_get_JTf()</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="navelem"><a class="el" href="dir_ca7b3fe3a5c68321cdadecc73cd5d1a0.html">localization</a></li><li class="navelem"><a class="el" href="dir_fdc176930829c278cabf5fddd85dbef8.html">position_algos</a></li><li class="navelem"><a class="el" href="dir_9f6bed594baf424ccac6ba79953e888e.html">magnetic_based</a></li><li class="navelem"><a class="el" href="dir_b8d2d01ff28d5da2ee9069d013a4a508.html">include</a></li><li class="navelem"><a class="el" href="magnetic__based__fi_8h.html">magnetic_based_fi.h</a></li>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
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diff --git a/doc/doxygen/html/magnetic__based__fi_8h.js b/doc/doxygen/html/magnetic__based__fi_8h.js
new file mode 100644
index 0000000000000000000000000000000000000000..1a34b5a989c0a6c5b9a66a4b0031b5c295d1643b
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@@ -0,0 +1,4 @@
+var magnetic__based__fi_8h =
+[
+ [ "magnetic_based_f_i", "magnetic__based__fi_8h.html#a897f5c675ad714feb9f2ae7571de620a", null ]
+];
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diff --git a/doc/doxygen/html/magnetic__based__fi_8h_source.html b/doc/doxygen/html/magnetic__based__fi_8h_source.html
new file mode 100644
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+ onmouseover="return searchBox.OnSearchSelectShow()"
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+<div class="title">magnetic_based_fi.h</div> </div>
+</div><!--header-->
+<div class="contents">
+<a href="magnetic__based__fi_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="preprocessor">#ifndef MAGNETIC_BASED_F_H_</span></div>
+<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#define MAGNETIC_BASED_F_H_</span></div>
+<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="preprocessor">#include <math.h></span></div>
+<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="preprocessor">#include <string.h></span></div>
+<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>  </div>
+<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="preprocessor">#include "<a class="code" href="matrix_8h.html">matrix.h</a>"</span></div>
+<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>  </div>
+<div class="line"><a name="l00042"></a><span class="lineno"> 42</span> <span class="keywordtype">void</span> <a class="code" href="magnetic__based__fi_8h.html#a897f5c675ad714feb9f2ae7571de620a">magnetic_based_f_i</a>(uint8_t ref_points_num, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_points_matrix[][3],</div>
+<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> Bi_vec[], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> f_vec[]);</div>
+<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  </div>
+<div class="line"><a name="l00045"></a><span class="lineno"> 45</span> <span class="preprocessor">#endif </span><span class="comment">/* MAGNETIC_BASED_F_H_ */</span><span class="preprocessor"></span></div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="amatrix_8h_html"><div class="ttname"><a href="matrix_8h.html">matrix.h</a></div><div class="ttdoc">Matrix computations.</div></div>
+<div class="ttc" id="amatrix_8h_html_af38ac6b76d645fea9abd6caeb4d9dd31"><div class="ttname"><a href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a></div><div class="ttdeci">#define matrix_t</div><div class="ttdoc">Define the data type of the matrix elements.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8h_source.html#l00038">matrix.h:38</a></div></div>
+<div class="ttc" id="amagnetic__based__fi_8h_html_a897f5c675ad714feb9f2ae7571de620a"><div class="ttname"><a href="magnetic__based__fi_8h.html#a897f5c675ad714feb9f2ae7571de620a">magnetic_based_f_i</a></div><div class="ttdeci">void magnetic_based_f_i(uint8_t ref_points_num, matrix_t ref_points_matrix[][3], matrix_t point[], matrix_t Bi_vec[], matrix_t f_vec[])</div><div class="ttdoc">Defines the error function of a magnetic-based localization system.</div><div class="ttdef"><b>Definition:</b> <a href="magnetic__based__fi_8c_source.html#l00029">magnetic_based_fi.c:29</a></div></div>
+<!-- start footer part -->
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diff --git a/doc/doxygen/html/magnetic__based__jacobian_8c.html b/doc/doxygen/html/magnetic__based__jacobian_8c.html
new file mode 100644
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@@ -0,0 +1,389 @@
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+<a href="#func-members">Functions</a> </div>
+ <div class="headertitle">
+<div class="title">magnetic_based_jacobian.c File Reference</div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Jacobian function of DC-pulsed, magnetic localization system.
+<a href="#details">More...</a></p>
+<div class="textblock"><code>#include <math.h></code><br />
+<code>#include <string.h></code><br />
+<code>#include <stdio.h></code><br />
+<code>#include <stdlib.h></code><br />
+<code>#include "<a class="el" href="magnetic__based__fi_8h_source.html">magnetic_based_fi.h</a>"</code><br />
+<code>#include "<a class="el" href="magnetic__based__position_8h_source.html">magnetic_based_position.h</a>"</code><br />
+<code>#include "<a class="el" href="matrix_8h_source.html">matrix.h</a>"</code><br />
+</div>
+<p><a href="magnetic__based__jacobian_8c_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ac3aca0a9af6ad84f6c010a215239f224"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="magnetic__based__jacobian_8c.html#ac3aca0a9af6ad84f6c010a215239f224">magnetic_based_jacobian_get_J</a> (uint8_t ref_point_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_matrix[ref_point_num][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J[ref_point_num][3])</td></tr>
+<tr class="memdesc:ac3aca0a9af6ad84f6c010a215239f224"><td class="mdescLeft"> </td><td class="mdescRight">Computes the Jacobian matrix of magnetic-based localization system. <a href="magnetic__based__jacobian_8c.html#ac3aca0a9af6ad84f6c010a215239f224">More...</a><br /></td></tr>
+<tr class="separator:ac3aca0a9af6ad84f6c010a215239f224"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:aa66e6f52fd806c36f4b735b7c4c3307e"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="magnetic__based__jacobian_8c.html#aa66e6f52fd806c36f4b735b7c4c3307e">magnetic_based_jacobian_get_JTJ</a> (uint8_t ref_points_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_matrix[ref_points_num][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> *unused, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> JTJ[3][3])</td></tr>
+<tr class="memdesc:aa66e6f52fd806c36f4b735b7c4c3307e"><td class="mdescLeft"> </td><td class="mdescRight">Defines <img class="formulaInl" alt="$ J_f^{T} J_{f} $" src="form_40.png"/> of magnetic-based localization system. <a href="magnetic__based__jacobian_8c.html#aa66e6f52fd806c36f4b735b7c4c3307e">More...</a><br /></td></tr>
+<tr class="separator:aa66e6f52fd806c36f4b735b7c4c3307e"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a87f1c7a7d6b151883c2308de275269b8"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="magnetic__based__jacobian_8c.html#a87f1c7a7d6b151883c2308de275269b8">magnetic_based_jacobian_get_JTf</a> (uint8_t ref_points_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_points_matrix[ref_points_num][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> Bi_vec[ref_points_num], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> JTf[3])</td></tr>
+<tr class="memdesc:a87f1c7a7d6b151883c2308de275269b8"><td class="mdescLeft"> </td><td class="mdescRight">Defines <img class="formulaInl" alt="$ J_f^{T} \vec{f} $" src="form_38.png"/> of magnetic-based localization system. <a href="magnetic__based__jacobian_8c.html#a87f1c7a7d6b151883c2308de275269b8">More...</a><br /></td></tr>
+<tr class="separator:a87f1c7a7d6b151883c2308de275269b8"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:ae1e7849d86970a33ef5b784705ebc2fc"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="magnetic__based__jacobian_8c.html#ae1e7849d86970a33ef5b784705ebc2fc">magnetic_based_jacobian_get_J_mul_s</a> (uint8_t ref_points_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_matrix[ref_points_num][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> s[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J_s[ref_points_num])</td></tr>
+<tr class="memdesc:ae1e7849d86970a33ef5b784705ebc2fc"><td class="mdescLeft"> </td><td class="mdescRight">Computes <img class="formulaInl" alt="$ J_f^{T} \vec{s} $" src="form_41.png"/> of magnetic-based localization system. <a href="magnetic__based__jacobian_8c.html#ae1e7849d86970a33ef5b784705ebc2fc">More...</a><br /></td></tr>
+<tr class="separator:ae1e7849d86970a33ef5b784705ebc2fc"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Jacobian function of DC-pulsed, magnetic localization system. </p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd>
+<dd>
+Naouar Guerchali </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="magnetic__based__jacobian_8c_source.html">magnetic_based_jacobian.c</a>.</p>
+</div><h2 class="groupheader">Function Documentation</h2>
+<a id="ac3aca0a9af6ad84f6c010a215239f224"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#ac3aca0a9af6ad84f6c010a215239f224">◆ </a></span>magnetic_based_jacobian_get_J()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void magnetic_based_jacobian_get_J </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>ref_point_num</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>ref_point_matrix</em>[ref_point_num][3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>point</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>J</em>[ref_point_num][3] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Computes the Jacobian matrix of magnetic-based localization system. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">ref_point_num</td><td>number of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">ref_point_matrix[][]</td><td>three-dimensional coordinates of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">point[]</td><td>three-dimensional coordinates of the mobile device. </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">J[][]</td><td>includes the Jacobian Matrix. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="magnetic__based__jacobian_8c_source.html#l00032">32</a> of file <a class="el" href="magnetic__based__jacobian_8c_source.html">magnetic_based_jacobian.c</a>.</p>
+
+<p class="reference">References <a class="el" href="magnetic__based__position_8h_source.html#l00075">K_T</a>, and <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="magnetic__based__jacobian_8c_source.html#l00112">magnetic_based_jacobian_get_JTf()</a>, and <a class="el" href="magnetic__based__jacobian_8c_source.html#l00099">magnetic_based_jacobian_get_JTJ()</a>.</p>
+
+</div>
+</div>
+<a id="ae1e7849d86970a33ef5b784705ebc2fc"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#ae1e7849d86970a33ef5b784705ebc2fc">◆ </a></span>magnetic_based_jacobian_get_J_mul_s()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void magnetic_based_jacobian_get_J_mul_s </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>ref_points_num</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>ref_point_matrix</em>[ref_points_num][3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>point</em>[3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>s</em>[3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>J_s</em>[ref_points_num] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Computes <img class="formulaInl" alt="$ J_f^{T} \vec{s} $" src="form_41.png"/> of magnetic-based localization system. </p>
+<p>Where <img class="formulaInl" alt="$ J_f $" src="form_39.png"/> is the Jacobian matrix. This function is a part of derivatives to minimize the sum of square errors.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">ref_points_num</td><td>number of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">ref_point_matrix[][]</td><td>three-dimensional coordinates of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">point[]</td><td>three-dimensional coordinates of the mobile device. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">s[]</td><td>correction vector. </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">J_s[]</td><td>includes the <img class="formulaInl" alt="$ J_f^{T} \vec{s} $" src="form_41.png"/> vector. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="magnetic__based__jacobian_8c_source.html#l00130">130</a> of file <a class="el" href="magnetic__based__jacobian_8c_source.html">magnetic_based_jacobian.c</a>.</p>
+
+<p class="reference">References <a class="el" href="magnetic__based__position_8h_source.html#l00075">K_T</a>, and <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>.</p>
+
+</div>
+</div>
+<a id="a87f1c7a7d6b151883c2308de275269b8"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a87f1c7a7d6b151883c2308de275269b8">◆ </a></span>magnetic_based_jacobian_get_JTf()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void magnetic_based_jacobian_get_JTf </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>ref_points_num</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>ref_points_matrix</em>[ref_points_num][3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>point</em>[3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>Bi_vec</em>[ref_points_num], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>JTf</em>[3] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Defines <img class="formulaInl" alt="$ J_f^{T} \vec{f} $" src="form_38.png"/> of magnetic-based localization system. </p>
+<p>Where <img class="formulaInl" alt="$ J_f $" src="form_39.png"/> is the Jacobian matrix. This function is a part of derivatives to minimize the sum of square errors.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">ref_points_num</td><td>number of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">ref_points_matrix[][]</td><td>three-dimensional coordinates of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">point[]</td><td>three-dimensional coordinates of the mobile device. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">Bi_vec[]</td><td>magnetic field strengths of the coils (reference stations). </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">JTf[]</td><td>includes the <img class="formulaInl" alt="$ J_f^{T} \vec{f} $" src="form_38.png"/> vector. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="magnetic__based__jacobian_8c_source.html#l00112">112</a> of file <a class="el" href="magnetic__based__jacobian_8c_source.html">magnetic_based_jacobian.c</a>.</p>
+
+<p class="reference">References <a class="el" href="magnetic__based__fi_8c_source.html#l00029">magnetic_based_f_i()</a>, <a class="el" href="magnetic__based__jacobian_8c_source.html#l00032">magnetic_based_jacobian_get_J()</a>, <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>, and <a class="el" href="matrix_8c_source.html#l00511">matrix_trans_mul_vec()</a>.</p>
+
+</div>
+</div>
+<a id="aa66e6f52fd806c36f4b735b7c4c3307e"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#aa66e6f52fd806c36f4b735b7c4c3307e">◆ </a></span>magnetic_based_jacobian_get_JTJ()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void magnetic_based_jacobian_get_JTJ </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>ref_points_num</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>ref_point_matrix</em>[ref_points_num][3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>point</em>[3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> * </td>
+ <td class="paramname"><em>unused</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>JTJ</em>[3][3] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Defines <img class="formulaInl" alt="$ J_f^{T} J_{f} $" src="form_40.png"/> of magnetic-based localization system. </p>
+<p>Where <img class="formulaInl" alt="$ J_f $" src="form_39.png"/> is the Jacobian matrix. This function is a part of derivatives to minimize the sum of square errors.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">ref_points_num</td><td>number of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">ref_point_matrix[][]</td><td>three-dimensional coordinates of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">point[]</td><td>three-dimensional coordinates of the mobile device. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">unused</td><td>this variable can be set to NULL. It is introduced to guarantee the compatibility with the <a class="el" href="dist__based__jacobian_8h.html#a59b1a3323c2896ff28f71135af0204a2">dist_based_jacobian_get_JTJ</a>, <a class="el" href="modified__gauss__newton_8c.html#a7376799043ad2c27fac02371624051bc">modified_gauss_newton</a>, and the <a class="el" href="levenberg__marquardt_8c.html#a2a72b2b6be15a9998b61a9c0097e3d5f">opt_levenberg_marquardt</a> functions. </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">JTJ[][]</td><td>includes the <img class="formulaInl" alt="$ J_f^{T} J_{f} $" src="form_40.png"/> matrix. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="magnetic__based__jacobian_8c_source.html#l00099">99</a> of file <a class="el" href="magnetic__based__jacobian_8c_source.html">magnetic_based_jacobian.c</a>.</p>
+
+<p class="reference">References <a class="el" href="magnetic__based__jacobian_8c_source.html#l00032">magnetic_based_jacobian_get_J()</a>, <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>, and <a class="el" href="matrix_8c_source.html#l00545">matrix_trans_mul_itself()</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="navelem"><a class="el" href="dir_ca7b3fe3a5c68321cdadecc73cd5d1a0.html">localization</a></li><li class="navelem"><a class="el" href="dir_fdc176930829c278cabf5fddd85dbef8.html">position_algos</a></li><li class="navelem"><a class="el" href="dir_9f6bed594baf424ccac6ba79953e888e.html">magnetic_based</a></li><li class="navelem"><a class="el" href="magnetic__based__jacobian_8c.html">magnetic_based_jacobian.c</a></li>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
+ </ul>
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+<div class="title">magnetic_based_jacobian.c</div> </div>
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+<a href="magnetic__based__jacobian_8c.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="preprocessor">#include <math.h></span></div>
+<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="preprocessor">#include <string.h></span></div>
+<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#include <stdio.h></span></div>
+<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="preprocessor">#include <stdlib.h></span></div>
+<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>  </div>
+<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="preprocessor">#include "<a class="code" href="magnetic__based__fi_8h.html">magnetic_based_fi.h</a>"</span></div>
+<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="preprocessor">#include "<a class="code" href="magnetic__based__position_8h.html">magnetic_based_position.h</a>"</span></div>
+<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="preprocessor">#include "<a class="code" href="matrix_8h.html">matrix.h</a>"</span></div>
+<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  </div>
+<div class="line"><a name="l00032"></a><span class="lineno"><a class="line" href="magnetic__based__jacobian_8c.html#ac3aca0a9af6ad84f6c010a215239f224"> 32</a></span> <span class="keywordtype">void</span> <a class="code" href="magnetic__based__jacobian_8c.html#ac3aca0a9af6ad84f6c010a215239f224">magnetic_based_jacobian_get_J</a>(uint8_t ref_point_num,</div>
+<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_matrix[ref_point_num][3],</div>
+<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[],</div>
+<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J[ref_point_num][3])</div>
+<div class="line"><a name="l00036"></a><span class="lineno"> 36</span> {</div>
+<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  </div>
+<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < ref_point_num; i++) {</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>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> X_Xi = point[0] - ref_point_matrix[i][0];</div>
+<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> Y_Yi = point[1] - ref_point_matrix[i][1];</div>
+<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> Z_Zi = point[2] - ref_point_matrix[i][2];</div>
+<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  </div>
+<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> X_Xi_sq = pow(X_Xi, 2);</div>
+<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> Y_Yi_sq = pow(Y_Yi, 2);</div>
+<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> Z_Zi_sq = pow(Z_Zi, 2);</div>
+<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  </div>
+<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  J[i][0] =</div>
+<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  <a class="code" href="magnetic__based__position_8h.html#a3ee4ec231172a5fd866f72acead15bc4">K_T</a> * (X_Xi)</div>
+<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  * ((-3.0 * X_Xi_sq</div>
+<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  - 3.0 * Y_Yi_sq</div>
+<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  - 15.0 * Z_Zi_sq)</div>
+<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  /</div>
+<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  (sqrt(</div>
+<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  X_Xi_sq</div>
+<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  + Y_Yi_sq</div>
+<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  + 4.0</div>
+<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  * Z_Zi_sq)</div>
+<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  * pow(</div>
+<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  (X_Xi_sq</div>
+<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  + Y_Yi_sq</div>
+<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  + Z_Zi_sq),</div>
+<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  3)));</div>
+<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  </div>
+<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  J[i][1] =</div>
+<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  <a class="code" href="magnetic__based__position_8h.html#a3ee4ec231172a5fd866f72acead15bc4">K_T</a> * (Y_Yi)</div>
+<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  * ((-3.0 * X_Xi_sq</div>
+<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  - 3.0 * Y_Yi_sq</div>
+<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  - 15.0 * Z_Zi_sq)</div>
+<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  /</div>
+<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  (sqrt(</div>
+<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  X_Xi_sq</div>
+<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  + Y_Yi_sq</div>
+<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  + 4.0</div>
+<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  * Z_Zi_sq)</div>
+<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  * pow(</div>
+<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  (X_Xi_sq</div>
+<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  + Y_Yi_sq</div>
+<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  + Z_Zi_sq),</div>
+<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  3)));</div>
+<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  </div>
+<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  J[i][2] =</div>
+<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  4.0 * <a class="code" href="magnetic__based__position_8h.html#a3ee4ec231172a5fd866f72acead15bc4">K_T</a> * (Z_Zi)</div>
+<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  * ((-3.0 * Z_Zi_sq)</div>
+<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  /</div>
+<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  (sqrt(</div>
+<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  X_Xi_sq</div>
+<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  + Y_Yi_sq</div>
+<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  + 4.0</div>
+<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  * Z_Zi_sq)</div>
+<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  * pow(</div>
+<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  (X_Xi_sq</div>
+<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  + Y_Yi_sq</div>
+<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  + Z_Zi_sq),</div>
+<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  3)));</div>
+<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  }</div>
+<div class="line"><a name="l00097"></a><span class="lineno"> 97</span> }</div>
+<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  </div>
+<div class="line"><a name="l00099"></a><span class="lineno"><a class="line" href="magnetic__based__jacobian_8c.html#aa66e6f52fd806c36f4b735b7c4c3307e"> 99</a></span> <span class="keywordtype">void</span> <a class="code" href="magnetic__based__jacobian_8c.html#aa66e6f52fd806c36f4b735b7c4c3307e">magnetic_based_jacobian_get_JTJ</a>(uint8_t ref_points_num,</div>
+<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_matrix[ref_points_num][3],</div>
+<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> *unused, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> JTJ[3][3])</div>
+<div class="line"><a name="l00102"></a><span class="lineno"> 102</span> {</div>
+<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J[ref_points_num][3];</div>
+<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  </div>
+<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  <a class="code" href="magnetic__based__jacobian_8c.html#ac3aca0a9af6ad84f6c010a215239f224">magnetic_based_jacobian_get_J</a>(ref_points_num, ref_point_matrix, point,</div>
+<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  J);</div>
+<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  <a class="code" href="matrix_8h.html#a0107887a6c40980fa639750be8262f01">matrix_trans_mul_itself</a>(ref_points_num, 3, J, JTJ);</div>
+<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  </div>
+<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  (void)unused;</div>
+<div class="line"><a name="l00110"></a><span class="lineno"> 110</span> }</div>
+<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  </div>
+<div class="line"><a name="l00112"></a><span class="lineno"><a class="line" href="magnetic__based__jacobian_8c.html#a87f1c7a7d6b151883c2308de275269b8"> 112</a></span> <span class="keywordtype">void</span> <a class="code" href="magnetic__based__jacobian_8c.html#a87f1c7a7d6b151883c2308de275269b8">magnetic_based_jacobian_get_JTf</a>(uint8_t ref_points_num,</div>
+<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_points_matrix[ref_points_num][3],</div>
+<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> Bi_vec[ref_points_num],</div>
+<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> JTf[3])</div>
+<div class="line"><a name="l00116"></a><span class="lineno"> 116</span> {</div>
+<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  </div>
+<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J[ref_points_num][3];</div>
+<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> f_vec[ref_points_num];</div>
+<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  </div>
+<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  <a class="code" href="magnetic__based__fi_8h.html#a897f5c675ad714feb9f2ae7571de620a">magnetic_based_f_i</a>(ref_points_num, ref_points_matrix, point, Bi_vec,</div>
+<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  f_vec);</div>
+<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  </div>
+<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  <a class="code" href="magnetic__based__jacobian_8c.html#ac3aca0a9af6ad84f6c010a215239f224">magnetic_based_jacobian_get_J</a>(ref_points_num, ref_points_matrix, point,</div>
+<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  J);</div>
+<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  <a class="code" href="matrix_8h.html#a53b0a1829b2085414fb66a9e9bd6c7b7">matrix_trans_mul_vec</a>(ref_points_num, 3, J, ref_points_num, f_vec, JTf);</div>
+<div class="line"><a name="l00127"></a><span class="lineno"> 127</span> }</div>
+<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  </div>
+<div class="line"><a name="l00129"></a><span class="lineno"> 129</span> <span class="comment">//compute: J(x)*s</span></div>
+<div class="line"><a name="l00130"></a><span class="lineno"><a class="line" href="magnetic__based__jacobian_8c.html#ae1e7849d86970a33ef5b784705ebc2fc"> 130</a></span> <span class="keywordtype">void</span> <a class="code" href="magnetic__based__jacobian_8c.html#ae1e7849d86970a33ef5b784705ebc2fc">magnetic_based_jacobian_get_J_mul_s</a>(uint8_t ref_points_num,</div>
+<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_matrix[ref_points_num][3],</div>
+<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3],</div>
+<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> s[3],</div>
+<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J_s[ref_points_num])</div>
+<div class="line"><a name="l00135"></a><span class="lineno"> 135</span> {</div>
+<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  uint8_t i;</div>
+<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> X_Xi, Y_Yi, Z_Zi;</div>
+<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> X_Xi_sq, Y_Yi_sq, Z_Zi_sq;</div>
+<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> j_i_0, j_i_1, j_i_2;</div>
+<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  </div>
+<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  <span class="keywordflow">for</span> (i = 0; i < ref_points_num; i++) {</div>
+<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  X_Xi = point[0] - ref_point_matrix[i][0];</div>
+<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  Y_Yi = point[1] - ref_point_matrix[i][1];</div>
+<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  Z_Zi = point[2] - ref_point_matrix[i][2];</div>
+<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  </div>
+<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  X_Xi_sq = pow(X_Xi, 2);</div>
+<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>  Y_Yi_sq = pow(Y_Yi, 2);</div>
+<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>  Z_Zi_sq = pow(Z_Zi, 2);</div>
+<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  </div>
+<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>  j_i_0 =</div>
+<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>  <a class="code" href="magnetic__based__position_8h.html#a3ee4ec231172a5fd866f72acead15bc4">K_T</a> * (X_Xi)</div>
+<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>  * ((-3.0 * X_Xi_sq</div>
+<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>  - 3.0 * Y_Yi_sq</div>
+<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>  - 15.0 * Z_Zi_sq)</div>
+<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  /</div>
+<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>  (sqrt(</div>
+<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  X_Xi_sq</div>
+<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  + Y_Yi_sq</div>
+<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  + 4.0</div>
+<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  * Z_Zi_sq)</div>
+<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>  * pow(</div>
+<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  (X_Xi_sq</div>
+<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>  + Y_Yi_sq</div>
+<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>  + Z_Zi_sq),</div>
+<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>  3)));</div>
+<div class="line"><a name="l00166"></a><span class="lineno"> 166</span>  j_i_1 =</div>
+<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>  <a class="code" href="magnetic__based__position_8h.html#a3ee4ec231172a5fd866f72acead15bc4">K_T</a> * (Y_Yi)</div>
+<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>  * ((-3.0 * X_Xi_sq</div>
+<div class="line"><a name="l00169"></a><span class="lineno"> 169</span>  - 3.0 * Y_Yi_sq</div>
+<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>  - 15.0 * Z_Zi_sq)</div>
+<div class="line"><a name="l00171"></a><span class="lineno"> 171</span>  /</div>
+<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>  (sqrt(</div>
+<div class="line"><a name="l00173"></a><span class="lineno"> 173</span>  X_Xi_sq</div>
+<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>  + Y_Yi_sq</div>
+<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>  + 4.0</div>
+<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>  * Z_Zi_sq)</div>
+<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>  * pow(</div>
+<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>  (X_Xi_sq</div>
+<div class="line"><a name="l00179"></a><span class="lineno"> 179</span>  + Y_Yi_sq</div>
+<div class="line"><a name="l00180"></a><span class="lineno"> 180</span>  + Z_Zi_sq),</div>
+<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>  3)));</div>
+<div class="line"><a name="l00182"></a><span class="lineno"> 182</span>  j_i_2 =</div>
+<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>  4.0 * <a class="code" href="magnetic__based__position_8h.html#a3ee4ec231172a5fd866f72acead15bc4">K_T</a> * (Z_Zi)</div>
+<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>  * ((-3.0 * Z_Zi_sq)</div>
+<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>  /</div>
+<div class="line"><a name="l00186"></a><span class="lineno"> 186</span>  (sqrt(</div>
+<div class="line"><a name="l00187"></a><span class="lineno"> 187</span>  X_Xi_sq</div>
+<div class="line"><a name="l00188"></a><span class="lineno"> 188</span>  + Y_Yi_sq</div>
+<div class="line"><a name="l00189"></a><span class="lineno"> 189</span>  + 4.0</div>
+<div class="line"><a name="l00190"></a><span class="lineno"> 190</span>  * Z_Zi_sq)</div>
+<div class="line"><a name="l00191"></a><span class="lineno"> 191</span>  * pow(</div>
+<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>  (X_Xi_sq</div>
+<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>  + Y_Yi_sq</div>
+<div class="line"><a name="l00194"></a><span class="lineno"> 194</span>  + Z_Zi_sq),</div>
+<div class="line"><a name="l00195"></a><span class="lineno"> 195</span>  3)));</div>
+<div class="line"><a name="l00196"></a><span class="lineno"> 196</span>  </div>
+<div class="line"><a name="l00197"></a><span class="lineno"> 197</span>  J_s[i] = j_i_0 * s[0] + j_i_1 * s[1] + j_i_2 * s[2];</div>
+<div class="line"><a name="l00198"></a><span class="lineno"> 198</span>  }</div>
+<div class="line"><a name="l00199"></a><span class="lineno"> 199</span> }</div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="amatrix_8h_html_a0107887a6c40980fa639750be8262f01"><div class="ttname"><a href="matrix_8h.html#a0107887a6c40980fa639750be8262f01">matrix_trans_mul_itself</a></div><div class="ttdeci">void matrix_trans_mul_itself(uint8_t m, uint8_t n, matrix_t A[m][n], matrix_t AT_mul_A[n][n])</div><div class="ttdoc">Compute the multiplication of the transpose of a matrix with itself.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00545">matrix.c:545</a></div></div>
+<div class="ttc" id="amagnetic__based__position_8h_html"><div class="ttname"><a href="magnetic__based__position_8h.html">magnetic_based_position.h</a></div><div class="ttdoc">Functions of of DC-pulsed, magnetic localization system.</div></div>
+<div class="ttc" id="amatrix_8h_html_a53b0a1829b2085414fb66a9e9bd6c7b7"><div class="ttname"><a href="matrix_8h.html#a53b0a1829b2085414fb66a9e9bd6c7b7">matrix_trans_mul_vec</a></div><div class="ttdeci">void matrix_trans_mul_vec(uint8_t m, uint8_t n, matrix_t A[m][n], uint8_t b_size, matrix_t b_vec[m], matrix_t c_vec[n])</div><div class="ttdoc">Compute the multiplication of transposed matrix with column vector.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00511">matrix.c:511</a></div></div>
+<div class="ttc" id="amagnetic__based__fi_8h_html"><div class="ttname"><a href="magnetic__based__fi_8h.html">magnetic_based_fi.h</a></div><div class="ttdoc">Error function of DC-pulsed, magnetic localization system.</div></div>
+<div class="ttc" id="amatrix_8h_html"><div class="ttname"><a href="matrix_8h.html">matrix.h</a></div><div class="ttdoc">Matrix computations.</div></div>
+<div class="ttc" id="amagnetic__based__jacobian_8c_html_aa66e6f52fd806c36f4b735b7c4c3307e"><div class="ttname"><a href="magnetic__based__jacobian_8c.html#aa66e6f52fd806c36f4b735b7c4c3307e">magnetic_based_jacobian_get_JTJ</a></div><div class="ttdeci">void magnetic_based_jacobian_get_JTJ(uint8_t ref_points_num, matrix_t ref_point_matrix[ref_points_num][3], matrix_t point[3], matrix_t *unused, matrix_t JTJ[3][3])</div><div class="ttdoc">Defines of magnetic-based localization system.</div><div class="ttdef"><b>Definition:</b> <a href="magnetic__based__jacobian_8c_source.html#l00099">magnetic_based_jacobian.c:99</a></div></div>
+<div class="ttc" id="amagnetic__based__position_8h_html_a3ee4ec231172a5fd866f72acead15bc4"><div class="ttname"><a href="magnetic__based__position_8h.html#a3ee4ec231172a5fd866f72acead15bc4">K_T</a></div><div class="ttdeci">#define K_T</div><div class="ttdoc">The number of turns of the wire.</div><div class="ttdef"><b>Definition:</b> <a href="magnetic__based__position_8h_source.html#l00075">magnetic_based_position.h:75</a></div></div>
+<div class="ttc" id="amagnetic__based__jacobian_8c_html_ac3aca0a9af6ad84f6c010a215239f224"><div class="ttname"><a href="magnetic__based__jacobian_8c.html#ac3aca0a9af6ad84f6c010a215239f224">magnetic_based_jacobian_get_J</a></div><div class="ttdeci">void magnetic_based_jacobian_get_J(uint8_t ref_point_num, matrix_t ref_point_matrix[ref_point_num][3], matrix_t point[], matrix_t J[ref_point_num][3])</div><div class="ttdoc">Computes the Jacobian matrix of magnetic-based localization system.</div><div class="ttdef"><b>Definition:</b> <a href="magnetic__based__jacobian_8c_source.html#l00032">magnetic_based_jacobian.c:32</a></div></div>
+<div class="ttc" id="amagnetic__based__jacobian_8c_html_ae1e7849d86970a33ef5b784705ebc2fc"><div class="ttname"><a href="magnetic__based__jacobian_8c.html#ae1e7849d86970a33ef5b784705ebc2fc">magnetic_based_jacobian_get_J_mul_s</a></div><div class="ttdeci">void magnetic_based_jacobian_get_J_mul_s(uint8_t ref_points_num, matrix_t ref_point_matrix[ref_points_num][3], matrix_t point[3], matrix_t s[3], matrix_t J_s[ref_points_num])</div><div class="ttdoc">Computes of magnetic-based localization system.</div><div class="ttdef"><b>Definition:</b> <a href="magnetic__based__jacobian_8c_source.html#l00130">magnetic_based_jacobian.c:130</a></div></div>
+<div class="ttc" id="amatrix_8h_html_af38ac6b76d645fea9abd6caeb4d9dd31"><div class="ttname"><a href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a></div><div class="ttdeci">#define matrix_t</div><div class="ttdoc">Define the data type of the matrix elements.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8h_source.html#l00038">matrix.h:38</a></div></div>
+<div class="ttc" id="amagnetic__based__fi_8h_html_a897f5c675ad714feb9f2ae7571de620a"><div class="ttname"><a href="magnetic__based__fi_8h.html#a897f5c675ad714feb9f2ae7571de620a">magnetic_based_f_i</a></div><div class="ttdeci">void magnetic_based_f_i(uint8_t ref_points_num, matrix_t ref_points_matrix[][3], matrix_t point[], matrix_t Bi_vec[], matrix_t f_vec[])</div><div class="ttdoc">Defines the error function of a magnetic-based localization system.</div><div class="ttdef"><b>Definition:</b> <a href="magnetic__based__fi_8c_source.html#l00029">magnetic_based_fi.c:29</a></div></div>
+<div class="ttc" id="amagnetic__based__jacobian_8c_html_a87f1c7a7d6b151883c2308de275269b8"><div class="ttname"><a href="magnetic__based__jacobian_8c.html#a87f1c7a7d6b151883c2308de275269b8">magnetic_based_jacobian_get_JTf</a></div><div class="ttdeci">void magnetic_based_jacobian_get_JTf(uint8_t ref_points_num, matrix_t ref_points_matrix[ref_points_num][3], matrix_t point[3], matrix_t Bi_vec[ref_points_num], matrix_t JTf[3])</div><div class="ttdoc">Defines of magnetic-based localization system.</div><div class="ttdef"><b>Definition:</b> <a href="magnetic__based__jacobian_8c_source.html#l00112">magnetic_based_jacobian.c:112</a></div></div>
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+<a href="#func-members">Functions</a> </div>
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+<div class="title">magnetic_based_jacobian.h File Reference<div class="ingroups"><a class="el" href="group__localization.html">LOCALIZATION</a> » <a class="el" href="group__position__algos.html">POSITION_ALGOS</a> » <a class="el" href="group__magnetic__based.html">MAGNETIC_BASED</a></div></div> </div>
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+<div class="contents">
+
+<p>Jacobian function of DC-pulsed, magnetic localization system.
+<a href="#details">More...</a></p>
+<div class="textblock"><code>#include "<a class="el" href="matrix_8h_source.html">matrix.h</a>"</code><br />
+</div>
+<p><a href="magnetic__based__jacobian_8h_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ac3aca0a9af6ad84f6c010a215239f224"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="magnetic__based__jacobian_8h.html#ac3aca0a9af6ad84f6c010a215239f224">magnetic_based_jacobian_get_J</a> (uint8_t ref_point_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_matrix[ref_point_num][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J[ref_point_num][3])</td></tr>
+<tr class="memdesc:ac3aca0a9af6ad84f6c010a215239f224"><td class="mdescLeft"> </td><td class="mdescRight">Computes the Jacobian matrix of magnetic-based localization system. <a href="magnetic__based__jacobian_8h.html#ac3aca0a9af6ad84f6c010a215239f224">More...</a><br /></td></tr>
+<tr class="separator:ac3aca0a9af6ad84f6c010a215239f224"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:aa66e6f52fd806c36f4b735b7c4c3307e"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="magnetic__based__jacobian_8h.html#aa66e6f52fd806c36f4b735b7c4c3307e">magnetic_based_jacobian_get_JTJ</a> (uint8_t ref_points_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_matrix[ref_points_num][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> *unused, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> JTJ[3][3])</td></tr>
+<tr class="memdesc:aa66e6f52fd806c36f4b735b7c4c3307e"><td class="mdescLeft"> </td><td class="mdescRight">Defines <img class="formulaInl" alt="$ J_f^{T} J_{f} $" src="form_40.png"/> of magnetic-based localization system. <a href="magnetic__based__jacobian_8h.html#aa66e6f52fd806c36f4b735b7c4c3307e">More...</a><br /></td></tr>
+<tr class="separator:aa66e6f52fd806c36f4b735b7c4c3307e"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a87f1c7a7d6b151883c2308de275269b8"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="magnetic__based__jacobian_8h.html#a87f1c7a7d6b151883c2308de275269b8">magnetic_based_jacobian_get_JTf</a> (uint8_t ref_points_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_points_matrix[ref_points_num][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> Bi_vec[ref_points_num], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> JTf[3])</td></tr>
+<tr class="memdesc:a87f1c7a7d6b151883c2308de275269b8"><td class="mdescLeft"> </td><td class="mdescRight">Defines <img class="formulaInl" alt="$ J_f^{T} \vec{f} $" src="form_38.png"/> of magnetic-based localization system. <a href="magnetic__based__jacobian_8h.html#a87f1c7a7d6b151883c2308de275269b8">More...</a><br /></td></tr>
+<tr class="separator:a87f1c7a7d6b151883c2308de275269b8"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:ae1e7849d86970a33ef5b784705ebc2fc"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="magnetic__based__jacobian_8h.html#ae1e7849d86970a33ef5b784705ebc2fc">magnetic_based_jacobian_get_J_mul_s</a> (uint8_t ref_points_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_matrix[ref_points_num][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> s[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J_s[ref_points_num])</td></tr>
+<tr class="memdesc:ae1e7849d86970a33ef5b784705ebc2fc"><td class="mdescLeft"> </td><td class="mdescRight">Computes <img class="formulaInl" alt="$ J_f^{T} \vec{s} $" src="form_41.png"/> of magnetic-based localization system. <a href="magnetic__based__jacobian_8h.html#ae1e7849d86970a33ef5b784705ebc2fc">More...</a><br /></td></tr>
+<tr class="separator:ae1e7849d86970a33ef5b784705ebc2fc"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Jacobian function of DC-pulsed, magnetic localization system. </p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd>
+<dd>
+Naouar Guerchali </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="magnetic__based__jacobian_8h_source.html">magnetic_based_jacobian.h</a>.</p>
+</div><h2 class="groupheader">Function Documentation</h2>
+<a id="ac3aca0a9af6ad84f6c010a215239f224"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#ac3aca0a9af6ad84f6c010a215239f224">◆ </a></span>magnetic_based_jacobian_get_J()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void magnetic_based_jacobian_get_J </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>ref_point_num</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>ref_point_matrix</em>[ref_point_num][3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>point</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>J</em>[ref_point_num][3] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Computes the Jacobian matrix of magnetic-based localization system. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">ref_point_num</td><td>number of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">ref_point_matrix[][]</td><td>three-dimensional coordinates of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">point[]</td><td>three-dimensional coordinates of the mobile device. </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">J[][]</td><td>includes the Jacobian Matrix. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="magnetic__based__jacobian_8c_source.html#l00032">32</a> of file <a class="el" href="magnetic__based__jacobian_8c_source.html">magnetic_based_jacobian.c</a>.</p>
+
+<p class="reference">References <a class="el" href="magnetic__based__position_8h_source.html#l00075">K_T</a>, and <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="magnetic__based__jacobian_8c_source.html#l00112">magnetic_based_jacobian_get_JTf()</a>, and <a class="el" href="magnetic__based__jacobian_8c_source.html#l00099">magnetic_based_jacobian_get_JTJ()</a>.</p>
+
+</div>
+</div>
+<a id="ae1e7849d86970a33ef5b784705ebc2fc"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#ae1e7849d86970a33ef5b784705ebc2fc">◆ </a></span>magnetic_based_jacobian_get_J_mul_s()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void magnetic_based_jacobian_get_J_mul_s </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>ref_points_num</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>ref_point_matrix</em>[ref_points_num][3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>point</em>[3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>s</em>[3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>J_s</em>[ref_points_num] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Computes <img class="formulaInl" alt="$ J_f^{T} \vec{s} $" src="form_41.png"/> of magnetic-based localization system. </p>
+<p>Where <img class="formulaInl" alt="$ J_f $" src="form_39.png"/> is the Jacobian matrix. This function is a part of derivatives to minimize the sum of square errors.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">ref_points_num</td><td>number of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">ref_point_matrix[][]</td><td>three-dimensional coordinates of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">point[]</td><td>three-dimensional coordinates of the mobile device. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">s[]</td><td>correction vector. </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">J_s[]</td><td>includes the <img class="formulaInl" alt="$ J_f^{T} \vec{s} $" src="form_41.png"/> vector. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="magnetic__based__jacobian_8c_source.html#l00130">130</a> of file <a class="el" href="magnetic__based__jacobian_8c_source.html">magnetic_based_jacobian.c</a>.</p>
+
+<p class="reference">References <a class="el" href="magnetic__based__position_8h_source.html#l00075">K_T</a>, and <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>.</p>
+
+</div>
+</div>
+<a id="a87f1c7a7d6b151883c2308de275269b8"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a87f1c7a7d6b151883c2308de275269b8">◆ </a></span>magnetic_based_jacobian_get_JTf()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void magnetic_based_jacobian_get_JTf </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>ref_points_num</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>ref_points_matrix</em>[ref_points_num][3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>point</em>[3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>Bi_vec</em>[ref_points_num], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>JTf</em>[3] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Defines <img class="formulaInl" alt="$ J_f^{T} \vec{f} $" src="form_38.png"/> of magnetic-based localization system. </p>
+<p>Where <img class="formulaInl" alt="$ J_f $" src="form_39.png"/> is the Jacobian matrix. This function is a part of derivatives to minimize the sum of square errors.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">ref_points_num</td><td>number of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">ref_points_matrix[][]</td><td>three-dimensional coordinates of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">point[]</td><td>three-dimensional coordinates of the mobile device. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">Bi_vec[]</td><td>magnetic field strengths of the coils (reference stations). </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">JTf[]</td><td>includes the <img class="formulaInl" alt="$ J_f^{T} \vec{f} $" src="form_38.png"/> vector. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="magnetic__based__jacobian_8c_source.html#l00112">112</a> of file <a class="el" href="magnetic__based__jacobian_8c_source.html">magnetic_based_jacobian.c</a>.</p>
+
+<p class="reference">References <a class="el" href="magnetic__based__fi_8c_source.html#l00029">magnetic_based_f_i()</a>, <a class="el" href="magnetic__based__jacobian_8c_source.html#l00032">magnetic_based_jacobian_get_J()</a>, <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>, and <a class="el" href="matrix_8c_source.html#l00511">matrix_trans_mul_vec()</a>.</p>
+
+</div>
+</div>
+<a id="aa66e6f52fd806c36f4b735b7c4c3307e"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#aa66e6f52fd806c36f4b735b7c4c3307e">◆ </a></span>magnetic_based_jacobian_get_JTJ()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void magnetic_based_jacobian_get_JTJ </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>ref_points_num</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>ref_point_matrix</em>[ref_points_num][3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>point</em>[3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> * </td>
+ <td class="paramname"><em>unused</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>JTJ</em>[3][3] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Defines <img class="formulaInl" alt="$ J_f^{T} J_{f} $" src="form_40.png"/> of magnetic-based localization system. </p>
+<p>Where <img class="formulaInl" alt="$ J_f $" src="form_39.png"/> is the Jacobian matrix. This function is a part of derivatives to minimize the sum of square errors.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">ref_points_num</td><td>number of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">ref_point_matrix[][]</td><td>three-dimensional coordinates of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">point[]</td><td>three-dimensional coordinates of the mobile device. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">unused</td><td>this variable can be set to NULL. It is introduced to guarantee the compatibility with the <a class="el" href="dist__based__jacobian_8h.html#a59b1a3323c2896ff28f71135af0204a2">dist_based_jacobian_get_JTJ</a>, <a class="el" href="modified__gauss__newton_8c.html#a7376799043ad2c27fac02371624051bc">modified_gauss_newton</a>, and the <a class="el" href="levenberg__marquardt_8c.html#a2a72b2b6be15a9998b61a9c0097e3d5f">opt_levenberg_marquardt</a> functions. </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">JTJ[][]</td><td>includes the <img class="formulaInl" alt="$ J_f^{T} J_{f} $" src="form_40.png"/> matrix. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="magnetic__based__jacobian_8c_source.html#l00099">99</a> of file <a class="el" href="magnetic__based__jacobian_8c_source.html">magnetic_based_jacobian.c</a>.</p>
+
+<p class="reference">References <a class="el" href="magnetic__based__jacobian_8c_source.html#l00032">magnetic_based_jacobian_get_J()</a>, <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>, and <a class="el" href="matrix_8c_source.html#l00545">matrix_trans_mul_itself()</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="navelem"><a class="el" href="dir_ca7b3fe3a5c68321cdadecc73cd5d1a0.html">localization</a></li><li class="navelem"><a class="el" href="dir_fdc176930829c278cabf5fddd85dbef8.html">position_algos</a></li><li class="navelem"><a class="el" href="dir_9f6bed594baf424ccac6ba79953e888e.html">magnetic_based</a></li><li class="navelem"><a class="el" href="dir_b8d2d01ff28d5da2ee9069d013a4a508.html">include</a></li><li class="navelem"><a class="el" href="magnetic__based__jacobian_8h.html">magnetic_based_jacobian.h</a></li>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
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+</body>
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+<div class="title">magnetic_based_jacobian.h</div> </div>
+</div><!--header-->
+<div class="contents">
+<a href="magnetic__based__jacobian_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="preprocessor">#ifndef MAGNETIC_BASED_JACOBIAN_H_</span></div>
+<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#define MAGNETIC_BASED_JACOBIAN_H_</span></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="preprocessor">#include "<a class="code" href="matrix_8h.html">matrix.h</a>"</span></div>
+<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>  </div>
+<div class="line"><a name="l00039"></a><span class="lineno"> 39</span> <span class="keywordtype">void</span> <a class="code" href="magnetic__based__jacobian_8h.html#ac3aca0a9af6ad84f6c010a215239f224">magnetic_based_jacobian_get_J</a>(uint8_t ref_point_num,</div>
+<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_matrix[ref_point_num][3],</div>
+<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[],</div>
+<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J[ref_point_num][3]);</div>
+<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  </div>
+<div class="line"><a name="l00060"></a><span class="lineno"> 60</span> <span class="keywordtype">void</span> <a class="code" href="magnetic__based__jacobian_8h.html#aa66e6f52fd806c36f4b735b7c4c3307e">magnetic_based_jacobian_get_JTJ</a>(uint8_t ref_points_num,</div>
+<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_matrix[ref_points_num][3],</div>
+<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> *unused, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> JTJ[3][3]);</div>
+<div class="line"><a name="l00075"></a><span class="lineno"> 75</span> <span class="keywordtype">void</span> <a class="code" href="magnetic__based__jacobian_8h.html#a87f1c7a7d6b151883c2308de275269b8">magnetic_based_jacobian_get_JTf</a>(uint8_t ref_points_num,</div>
+<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_points_matrix[ref_points_num][3],</div>
+<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> Bi_vec[ref_points_num],</div>
+<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> JTf[3]);</div>
+<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  </div>
+<div class="line"><a name="l00092"></a><span class="lineno"> 92</span> <span class="keywordtype">void</span> <a class="code" href="magnetic__based__jacobian_8h.html#ae1e7849d86970a33ef5b784705ebc2fc">magnetic_based_jacobian_get_J_mul_s</a>(uint8_t ref_points_num,</div>
+<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_matrix[ref_points_num][3],</div>
+<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3],</div>
+<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> s[3], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J_s[ref_points_num]);</div>
+<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  </div>
+<div class="line"><a name="l00097"></a><span class="lineno"> 97</span> <span class="preprocessor">#endif </span><span class="comment">/* MAGNETIC_BASED_JACOBIAN_H_ */</span><span class="preprocessor"></span></div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="amagnetic__based__jacobian_8h_html_ac3aca0a9af6ad84f6c010a215239f224"><div class="ttname"><a href="magnetic__based__jacobian_8h.html#ac3aca0a9af6ad84f6c010a215239f224">magnetic_based_jacobian_get_J</a></div><div class="ttdeci">void magnetic_based_jacobian_get_J(uint8_t ref_point_num, matrix_t ref_point_matrix[ref_point_num][3], matrix_t point[], matrix_t J[ref_point_num][3])</div><div class="ttdoc">Computes the Jacobian matrix of magnetic-based localization system.</div><div class="ttdef"><b>Definition:</b> <a href="magnetic__based__jacobian_8c_source.html#l00032">magnetic_based_jacobian.c:32</a></div></div>
+<div class="ttc" id="amagnetic__based__jacobian_8h_html_aa66e6f52fd806c36f4b735b7c4c3307e"><div class="ttname"><a href="magnetic__based__jacobian_8h.html#aa66e6f52fd806c36f4b735b7c4c3307e">magnetic_based_jacobian_get_JTJ</a></div><div class="ttdeci">void magnetic_based_jacobian_get_JTJ(uint8_t ref_points_num, matrix_t ref_point_matrix[ref_points_num][3], matrix_t point[3], matrix_t *unused, matrix_t JTJ[3][3])</div><div class="ttdoc">Defines of magnetic-based localization system.</div><div class="ttdef"><b>Definition:</b> <a href="magnetic__based__jacobian_8c_source.html#l00099">magnetic_based_jacobian.c:99</a></div></div>
+<div class="ttc" id="amatrix_8h_html"><div class="ttname"><a href="matrix_8h.html">matrix.h</a></div><div class="ttdoc">Matrix computations.</div></div>
+<div class="ttc" id="amagnetic__based__jacobian_8h_html_ae1e7849d86970a33ef5b784705ebc2fc"><div class="ttname"><a href="magnetic__based__jacobian_8h.html#ae1e7849d86970a33ef5b784705ebc2fc">magnetic_based_jacobian_get_J_mul_s</a></div><div class="ttdeci">void magnetic_based_jacobian_get_J_mul_s(uint8_t ref_points_num, matrix_t ref_point_matrix[ref_points_num][3], matrix_t point[3], matrix_t s[3], matrix_t J_s[ref_points_num])</div><div class="ttdoc">Computes of magnetic-based localization system.</div><div class="ttdef"><b>Definition:</b> <a href="magnetic__based__jacobian_8c_source.html#l00130">magnetic_based_jacobian.c:130</a></div></div>
+<div class="ttc" id="amagnetic__based__jacobian_8h_html_a87f1c7a7d6b151883c2308de275269b8"><div class="ttname"><a href="magnetic__based__jacobian_8h.html#a87f1c7a7d6b151883c2308de275269b8">magnetic_based_jacobian_get_JTf</a></div><div class="ttdeci">void magnetic_based_jacobian_get_JTf(uint8_t ref_points_num, matrix_t ref_points_matrix[ref_points_num][3], matrix_t point[3], matrix_t Bi_vec[ref_points_num], matrix_t JTf[3])</div><div class="ttdoc">Defines of magnetic-based localization system.</div><div class="ttdef"><b>Definition:</b> <a href="magnetic__based__jacobian_8c_source.html#l00112">magnetic_based_jacobian.c:112</a></div></div>
+<div class="ttc" id="amatrix_8h_html_af38ac6b76d645fea9abd6caeb4d9dd31"><div class="ttname"><a href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a></div><div class="ttdeci">#define matrix_t</div><div class="ttdoc">Define the data type of the matrix elements.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8h_source.html#l00038">matrix.h:38</a></div></div>
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+
+<p>Functions of of DC-pulsed, magnetic localization system.
+<a href="#details">More...</a></p>
+<div class="textblock"><code>#include <math.h></code><br />
+<code>#include <complex.h></code><br />
+<code>#include <<a class="el" href="magnetic__based__position_8h_source.html">magnetic_based_position.h</a>></code><br />
+<code>#include <stdint.h></code><br />
+<code>#include <string.h></code><br />
+<code>#include <stdio.h></code><br />
+<code>#include "<a class="el" href="matrix_8h_source.html">matrix.h</a>"</code><br />
+<code>#include "<a class="el" href="vector_8h_source.html">vector.h</a>"</code><br />
+<code>#include "<a class="el" href="trilateration_8h_source.html">trilateration.h</a>"</code><br />
+</div>
+<p><a href="magnetic__based__position_8c_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ad5a7513337486e277ea028480403569d"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="magnetic__based__position_8c.html#ad5a7513337486e277ea028480403569d">magnetic_based_get_absolute_error</a> (<a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> value_arr[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> approx_value_arr[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> absolute_error_arr[], uint8_t length)</td></tr>
+<tr class="memdesc:ad5a7513337486e277ea028480403569d"><td class="mdescLeft"> </td><td class="mdescRight">Computes the absolute error of a position of magnet-based localization system. <a href="magnetic__based__position_8c.html#ad5a7513337486e277ea028480403569d">More...</a><br /></td></tr>
+<tr class="separator:ad5a7513337486e277ea028480403569d"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:ac852e4c0dcb8e9901aa3fab5efd91599"><td class="memItemLeft" align="right" valign="top"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="magnetic__based__position_8c.html#ac852e4c0dcb8e9901aa3fab5efd91599">magnetic_based_get_distances_to_anchors</a> (<a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3])</td></tr>
+<tr class="memdesc:ac852e4c0dcb8e9901aa3fab5efd91599"><td class="mdescLeft"> </td><td class="mdescRight">Computes the distance between a mobile station and a reference station of magnetic-based localization system. <a href="magnetic__based__position_8c.html#ac852e4c0dcb8e9901aa3fab5efd91599">More...</a><br /></td></tr>
+<tr class="separator:ac852e4c0dcb8e9901aa3fab5efd91599"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a361f3f3c4f9516a1aa6107367ebfda8d"><td class="memItemLeft" align="right" valign="top"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="magnetic__based__position_8c.html#a361f3f3c4f9516a1aa6107367ebfda8d">magnetic_based_get_magnetic_field</a> (<a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> target_point[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> k)</td></tr>
+<tr class="memdesc:a361f3f3c4f9516a1aa6107367ebfda8d"><td class="mdescLeft"> </td><td class="mdescRight">Computes the magnetic field strength from a mobile station to a reference station. <a href="magnetic__based__position_8c.html#a361f3f3c4f9516a1aa6107367ebfda8d">More...</a><br /></td></tr>
+<tr class="separator:a361f3f3c4f9516a1aa6107367ebfda8d"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:aac026f28838a5b30c8f6f189e3ab354c"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="magnetic__based__position_8c.html#aac026f28838a5b30c8f6f189e3ab354c">magnetic_based_get_magnetic_field_vec</a> (uint8_t m, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_matrix[m][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> target_point[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> k, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> magn_field_vec[])</td></tr>
+<tr class="memdesc:aac026f28838a5b30c8f6f189e3ab354c"><td class="mdescLeft"> </td><td class="mdescRight">Computes the magnetic field strengths from a mobile station to various reference stations. <a href="magnetic__based__position_8c.html#aac026f28838a5b30c8f6f189e3ab354c">More...</a><br /></td></tr>
+<tr class="separator:aac026f28838a5b30c8f6f189e3ab354c"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:ae584dff239a0111c47b7c5d1e197af59"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="magnetic__based__position_8c.html#ae584dff239a0111c47b7c5d1e197af59">magnetic_based_get_distances</a> (<a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> magnetic_field_strength_arr[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> angular_theta_arr[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> distance_arr[], uint8_t length, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> k)</td></tr>
+<tr class="memdesc:ae584dff239a0111c47b7c5d1e197af59"><td class="mdescLeft"> </td><td class="mdescRight">Computes the distances between a mobile station and the reference stations of a magnet-based localization system. <a href="magnetic__based__position_8c.html#ae584dff239a0111c47b7c5d1e197af59">More...</a><br /></td></tr>
+<tr class="separator:ae584dff239a0111c47b7c5d1e197af59"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a01bb024303e8eb202a19dbd70b291c06"><td class="memItemLeft" align="right" valign="top"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="magnetic__based__position_8c.html#a01bb024303e8eb202a19dbd70b291c06">magnetic_based_get_r</a> (<a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> B, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> theta, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> k)</td></tr>
+<tr class="memdesc:a01bb024303e8eb202a19dbd70b291c06"><td class="mdescLeft"> </td><td class="mdescRight">Computes the distance between a mobile station and a reference stations of a magnet-based localization system. <a href="magnetic__based__position_8c.html#a01bb024303e8eb202a19dbd70b291c06">More...</a><br /></td></tr>
+<tr class="separator:a01bb024303e8eb202a19dbd70b291c06"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:af316f67cb87759b57bc815326b8d1cef"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="magnetic__based__position_8c.html#af316f67cb87759b57bc815326b8d1cef">magnetic_based_preprocessing_get_position</a> (uint8_t anchor_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> anchor_pos_matrix[anchor_num][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> pseudo_inv_matrix[4][anchor_num], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> homog_sol_arr[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> solution_x1[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> solution_x2[])</td></tr>
+<tr class="memdesc:af316f67cb87759b57bc815326b8d1cef"><td class="mdescLeft"> </td><td class="mdescRight">Computes the position of a mobile station by a magnetic-based localization system. <a href="magnetic__based__position_8c.html#af316f67cb87759b57bc815326b8d1cef">More...</a><br /></td></tr>
+<tr class="separator:af316f67cb87759b57bc815326b8d1cef"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Functions of of DC-pulsed, magnetic localization system. </p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd>
+<dd>
+Abdelmoumen Norrdine <a href="#" onclick="location.href='mai'+'lto:'+'a.n'+'or'+'rdi'+'ne'+'@go'+'og'+'lem'+'ai'+'l.c'+'om'; return false;">a.nor<span style="display: none;">.nosp@m.</span>rdin<span style="display: none;">.nosp@m.</span>e@goo<span style="display: none;">.nosp@m.</span>glem<span style="display: none;">.nosp@m.</span>ail.c<span style="display: none;">.nosp@m.</span>om</a> </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="magnetic__based__position_8c_source.html">magnetic_based_position.c</a>.</p>
+</div><h2 class="groupheader">Function Documentation</h2>
+<a id="ad5a7513337486e277ea028480403569d"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#ad5a7513337486e277ea028480403569d">◆ </a></span>magnetic_based_get_absolute_error()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void magnetic_based_get_absolute_error </td>
+ <td>(</td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>value_arr</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>approx_value_arr</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>absolute_error_arr</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>length</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Computes the absolute error of a position of magnet-based localization system. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">value_arr</td><td>true position. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">approx_value_arr</td><td>approximate position of the mobile device. </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">absolute_error_arr</td><td>includes the absolute error. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">length</td><td>arrays length. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="magnetic__based__position_8c_source.html#l00034">34</a> of file <a class="el" href="magnetic__based__position_8c_source.html">magnetic_based_position.c</a>.</p>
+
+</div>
+</div>
+<a id="ae584dff239a0111c47b7c5d1e197af59"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#ae584dff239a0111c47b7c5d1e197af59">◆ </a></span>magnetic_based_get_distances()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void magnetic_based_get_distances </td>
+ <td>(</td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>magnetic_field_strength_arr</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>angular_theta_arr</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>distance_arr</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>length</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>k</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Computes the distances between a mobile station and the reference stations of a magnet-based localization system. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">magnetic_field_strength_arr[]</td><td>includes the magnetic field strengths. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">angular_theta_arr[]</td><td>elevation angles. </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">distance_arr[]</td><td>distance array. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">length</td><td>length of the arrays. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">k</td><td>magnetic constant. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="magnetic__based__position_8c_source.html#l00125">125</a> of file <a class="el" href="magnetic__based__position_8c_source.html">magnetic_based_position.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>, and <a class="el" href="magnetic__based__position_8h_source.html#l00080">MILPS_MAX_DIST</a>.</p>
+
+</div>
+</div>
+<a id="ac852e4c0dcb8e9901aa3fab5efd91599"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#ac852e4c0dcb8e9901aa3fab5efd91599">◆ </a></span>magnetic_based_get_distances_to_anchors()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> magnetic_based_get_distances_to_anchors </td>
+ <td>(</td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>ref_point</em>[3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>point</em>[3] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Computes the distance between a mobile station and a reference station of magnetic-based localization system. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">ref_point[]</td><td>three-dimensional coordinates of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">point[]</td><td>three-dimensional coordinates of the mobile device.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the distance between the mobile station and the reference station. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="magnetic__based__position_8c_source.html#l00050">50</a> of file <a class="el" href="magnetic__based__position_8c_source.html">magnetic_based_position.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>, <a class="el" href="vector_8c_source.html#l00042">vector_get_norm2()</a>, and <a class="el" href="vector_8c_source.html#l00094">vector_sub()</a>.</p>
+
+</div>
+</div>
+<a id="a361f3f3c4f9516a1aa6107367ebfda8d"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a361f3f3c4f9516a1aa6107367ebfda8d">◆ </a></span>magnetic_based_get_magnetic_field()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> magnetic_based_get_magnetic_field </td>
+ <td>(</td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>ref_point</em>[3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>target_point</em>[3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>k</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Computes the magnetic field strength from a mobile station to a reference station. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">ref_point[]</td><td>three-dimensional coordinates of a reference station. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">target_point[]</td><td>three-dimensional coordinates of the mobile device. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">k</td><td>magnetic constant.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the magnetic field strength. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="magnetic__based__position_8c_source.html#l00062">62</a> of file <a class="el" href="magnetic__based__position_8c_source.html">magnetic_based_position.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>, and <a class="el" href="vector_8c_source.html#l00284">vector_flex_print()</a>.</p>
+
+</div>
+</div>
+<a id="aac026f28838a5b30c8f6f189e3ab354c"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#aac026f28838a5b30c8f6f189e3ab354c">◆ </a></span>magnetic_based_get_magnetic_field_vec()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void magnetic_based_get_magnetic_field_vec </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>ref_point_matrix</em>[m][3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>target_point</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>k</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>magn_field_vec</em>[] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Computes the magnetic field strengths from a mobile station to various reference stations. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>number of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">ref_point_matrix[][]</td><td>three-dimensional coordinates of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">target_point[]</td><td>three-dimensional coordinates of the mobile device. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">k</td><td>magnetic constant. </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">magn_field_vec[]</td><td>includes the magnetic field strengths. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="magnetic__based__position_8c_source.html#l00091">91</a> of file <a class="el" href="magnetic__based__position_8c_source.html">magnetic_based_position.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>.</p>
+
+</div>
+</div>
+<a id="a01bb024303e8eb202a19dbd70b291c06"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a01bb024303e8eb202a19dbd70b291c06">◆ </a></span>magnetic_based_get_r()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> magnetic_based_get_r </td>
+ <td>(</td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>B</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>theta</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>k</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Computes the distance between a mobile station and a reference stations of a magnet-based localization system. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">B</td><td>magnetic field strength. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">theta</td><td>elevation angle. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">k</td><td>magnetic constant.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the distance between the mobile station and the reference station. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="magnetic__based__position_8c_source.html#l00166">166</a> of file <a class="el" href="magnetic__based__position_8c_source.html">magnetic_based_position.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>, and <a class="el" href="magnetic__based__position_8h_source.html#l00080">MILPS_MAX_DIST</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="magnetic__based__test_8c_source.html#l00034">magnetic_based_test()</a>.</p>
+
+</div>
+</div>
+<a id="af316f67cb87759b57bc815326b8d1cef"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#af316f67cb87759b57bc815326b8d1cef">◆ </a></span>magnetic_based_preprocessing_get_position()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void magnetic_based_preprocessing_get_position </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>anchor_num</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>anchor_pos_matrix</em>[anchor_num][3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>pseudo_inv_matrix</em>[4][anchor_num], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>homog_sol_arr</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>solution_x1</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>solution_x2</em>[] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Computes the position of a mobile station by a magnetic-based localization system. </p>
+<p>The position is computed based on a pre-processed pseudo-inverse matrix and the homogeneous solution in the case of three reference stations.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">anchor_num</td><td>number of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">anchor_pos_matrix[][]</td><td>coordinates of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">pseudo_inv_matrix[][[]</td><td>pointer to the pre-processed pseudo-inverse matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">homog_sol_arr[]</td><td>pointer to the homogeneous solution. </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">solution_x1[]</td><td>includes the first solution. </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">solution_x2[]</td><td>includes the second solution. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="magnetic__based__position_8c_source.html#l00188">188</a> of file <a class="el" href="magnetic__based__position_8c_source.html">magnetic_based_position.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>, and <a class="el" href="trilateration_8c_source.html#l00032">trilateration1()</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="navelem"><a class="el" href="dir_ca7b3fe3a5c68321cdadecc73cd5d1a0.html">localization</a></li><li class="navelem"><a class="el" href="dir_fdc176930829c278cabf5fddd85dbef8.html">position_algos</a></li><li class="navelem"><a class="el" href="dir_9f6bed594baf424ccac6ba79953e888e.html">magnetic_based</a></li><li class="navelem"><a class="el" href="magnetic__based__position_8c.html">magnetic_based_position.c</a></li>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
+ </ul>
+</div>
+</body>
+</html>
diff --git a/doc/doxygen/html/magnetic__based__position_8c.js b/doc/doxygen/html/magnetic__based__position_8c.js
new file mode 100644
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+++ b/doc/doxygen/html/magnetic__based__position_8c.js
@@ -0,0 +1,10 @@
+var magnetic__based__position_8c =
+[
+ [ "magnetic_based_get_absolute_error", "magnetic__based__position_8c.html#ad5a7513337486e277ea028480403569d", null ],
+ [ "magnetic_based_get_distances", "magnetic__based__position_8c.html#ae584dff239a0111c47b7c5d1e197af59", null ],
+ [ "magnetic_based_get_distances_to_anchors", "magnetic__based__position_8c.html#ac852e4c0dcb8e9901aa3fab5efd91599", null ],
+ [ "magnetic_based_get_magnetic_field", "magnetic__based__position_8c.html#a361f3f3c4f9516a1aa6107367ebfda8d", null ],
+ [ "magnetic_based_get_magnetic_field_vec", "magnetic__based__position_8c.html#aac026f28838a5b30c8f6f189e3ab354c", null ],
+ [ "magnetic_based_get_r", "magnetic__based__position_8c.html#a01bb024303e8eb202a19dbd70b291c06", null ],
+ [ "magnetic_based_preprocessing_get_position", "magnetic__based__position_8c.html#af316f67cb87759b57bc815326b8d1cef", null ]
+];
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new file mode 100644
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+<meta name="generator" content="Doxygen 1.8.16"/>
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+<title>RcdMathLib_doc: magnetic_based_position.c Source File</title>
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+ <div id="projectname">RcdMathLib_doc
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+ <div class="headertitle">
+<div class="title">magnetic_based_position.c</div> </div>
+</div><!--header-->
+<div class="contents">
+<a href="magnetic__based__position_8c.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="preprocessor">#include <math.h></span></div>
+<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="preprocessor">#include <complex.h></span></div>
+<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#include <<a class="code" href="magnetic__based__position_8h.html">magnetic_based_position.h</a>></span></div>
+<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="preprocessor">#include <stdint.h></span></div>
+<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="preprocessor">#include <string.h></span></div>
+<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="preprocessor">#include <stdio.h></span></div>
+<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>  </div>
+<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="preprocessor">#include "<a class="code" href="matrix_8h.html">matrix.h</a>"</span></div>
+<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="preprocessor">#include "<a class="code" href="vector_8h.html">vector.h</a>"</span></div>
+<div class="line"><a name="l00032"></a><span class="lineno"> 32</span> <span class="preprocessor">#include "<a class="code" href="trilateration_8h.html">trilateration.h</a>"</span></div>
+<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>  </div>
+<div class="line"><a name="l00034"></a><span class="lineno"><a class="line" href="magnetic__based__position_8c.html#ad5a7513337486e277ea028480403569d"> 34</a></span> <span class="keywordtype">void</span> <a class="code" href="magnetic__based__position_8c.html#ad5a7513337486e277ea028480403569d">magnetic_based_get_absolute_error</a>(<a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> value_arr[],</div>
+<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> approx_value_arr[],</div>
+<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> absolute_error_arr[],</div>
+<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  uint8_t length)</div>
+<div class="line"><a name="l00038"></a><span class="lineno"> 38</span> {</div>
+<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>  uint8_t i;</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="keywordflow">if</span> ((value_arr != NULL) && (approx_value_arr != NULL)</div>
+<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  && (absolute_error_arr != NULL)) {</div>
+<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  <span class="keywordflow">for</span> (i = 0; i < length; i++) {</div>
+<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  absolute_error_arr[i] = fabs(</div>
+<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  value_arr[i] - approx_value_arr[i]);</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>  }</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>  </div>
+<div class="line"><a name="l00050"></a><span class="lineno"><a class="line" href="magnetic__based__position_8c.html#ac852e4c0dcb8e9901aa3fab5efd91599"> 50</a></span> <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> <a class="code" href="magnetic__based__position_8c.html#ac852e4c0dcb8e9901aa3fab5efd91599">magnetic_based_get_distances_to_anchors</a>(<a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point[3],</div>
+<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3])</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>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> dist = 0.0;</div>
+<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> diff_vec[3];</div>
+<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  </div>
+<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  <a class="code" href="vector_8h.html#a3bbd999b10064c2ede2bd427aa040b63">vector_sub</a>(3, ref_point, point, diff_vec);</div>
+<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  dist = <a class="code" href="vector_8h.html#a4cfc452fdff3e32a601ccff140cd9ae6">vector_get_norm2</a>(3, diff_vec);</div>
+<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  </div>
+<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  <span class="keywordflow">return</span> dist;</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"><a class="line" href="magnetic__based__position_8c.html#a361f3f3c4f9516a1aa6107367ebfda8d"> 62</a></span> <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> <a class="code" href="magnetic__based__position_8c.html#a361f3f3c4f9516a1aa6107367ebfda8d">magnetic_based_get_magnetic_field</a>(<a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point[3],</div>
+<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> target_point[3], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> k)</div>
+<div class="line"><a name="l00064"></a><span class="lineno"> 64</span> {</div>
+<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> magn_field = 0.0;</div>
+<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> r_square = 0.0;</div>
+<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  uint8_t i;</div>
+<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  </div>
+<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  printf(<span class="stringliteral">"ref_arr = "</span>);</div>
+<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  <a class="code" href="vector_8h.html#ab2827264910e858f238868695a92db4b">vector_flex_print</a>(3, ref_point, 5, 4);</div>
+<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  <span class="keywordflow">for</span> (i = 0; i < 3; i++) {</div>
+<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  r_square += pow(target_point[i] - ref_point[i], 2);</div>
+<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  }</div>
+<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  </div>
+<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  printf(<span class="stringliteral">"r_sq = %f\n"</span>, r_square);</div>
+<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  magn_field =</div>
+<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  k</div>
+<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  * sqrt(</div>
+<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  3</div>
+<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  * pow(</div>
+<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  target_point[2]</div>
+<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  - ref_point[2],</div>
+<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  2)</div>
+<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  + r_square)</div>
+<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  / pow(r_square, 2);</div>
+<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  </div>
+<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  <span class="keywordflow">return</span> magn_field;</div>
+<div class="line"><a name="l00089"></a><span class="lineno"> 89</span> }</div>
+<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  </div>
+<div class="line"><a name="l00091"></a><span class="lineno"><a class="line" href="magnetic__based__position_8c.html#aac026f28838a5b30c8f6f189e3ab354c"> 91</a></span> <span class="keywordtype">void</span> <a class="code" href="magnetic__based__position_8c.html#aac026f28838a5b30c8f6f189e3ab354c">magnetic_based_get_magnetic_field_vec</a>(uint8_t m,</div>
+<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_matrix[m][3],</div>
+<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> target_point[],</div>
+<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> k,</div>
+<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> magn_field_vec[])</div>
+<div class="line"><a name="l00096"></a><span class="lineno"> 96</span> {</div>
+<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  </div>
+<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> r_square = 0.0;</div>
+<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  uint8_t i, j;</div>
+<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  </div>
+<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  <span class="keywordflow">for</span> (i = 0; i < m; i++) {</div>
+<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  <span class="keywordflow">for</span> (j = 0; i < 3; j++) {</div>
+<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  r_square +=</div>
+<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  pow(</div>
+<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  target_point[i]</div>
+<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  - ref_point_matrix[i][j],</div>
+<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  2);</div>
+<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  }</div>
+<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  </div>
+<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  magn_field_vec[i] =</div>
+<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  k</div>
+<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  * sqrt(</div>
+<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  3</div>
+<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  * pow(</div>
+<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  target_point[2]</div>
+<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  - ref_point_matrix[i][2],</div>
+<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  2)</div>
+<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  + r_square)</div>
+<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  / pow(r_square, 2);</div>
+<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  r_square = 0.0;</div>
+<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  }</div>
+<div class="line"><a name="l00122"></a><span class="lineno"> 122</span> }</div>
+<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  </div>
+<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  </div>
+<div class="line"><a name="l00125"></a><span class="lineno"><a class="line" href="magnetic__based__position_8c.html#ae584dff239a0111c47b7c5d1e197af59"> 125</a></span> <span class="keywordtype">void</span> <a class="code" href="magnetic__based__position_8c.html#ae584dff239a0111c47b7c5d1e197af59">magnetic_based_get_distances</a>(<a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> magnetic_field_strength_arr[],</div>
+<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> angular_theta_arr[],</div>
+<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> distance_arr[], uint8_t length,</div>
+<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> k)</div>
+<div class="line"><a name="l00129"></a><span class="lineno"> 129</span> {</div>
+<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  <span class="keywordtype">int</span> i;</div>
+<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  </div>
+<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  <span class="keywordflow">for</span> (i = 0; i < length; i++) {</div>
+<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  <span class="keywordflow">if</span> (magnetic_field_strength_arr[i] == 0) {</div>
+<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  distance_arr[i] = <a class="code" href="magnetic__based__position_8h.html#a2ab193fcd7e0bc8f46ce92c3299b99bc">MILPS_MAX_DIST</a>;</div>
+<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  }</div>
+<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  <span class="keywordflow">else</span> {</div>
+<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  <span class="keywordflow">if</span> (angular_theta_arr[i] == 0) {</div>
+<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  distance_arr[i] =</div>
+<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  pow(</div>
+<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  k</div>
+<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  / magnetic_field_strength_arr[i],</div>
+<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  (<a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a>)1</div>
+<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  / 3);</div>
+<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  }</div>
+<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  <span class="keywordflow">else</span> {</div>
+<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  </div>
+<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>  distance_arr[i] =</div>
+<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>  pow(</div>
+<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  k</div>
+<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>  * sqrt(</div>
+<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>  1</div>
+<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>  + 3</div>
+<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>  * pow(</div>
+<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>  sin(</div>
+<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  angular_theta_arr[i]),</div>
+<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>  2))</div>
+<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  / magnetic_field_strength_arr[i],</div>
+<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  (<a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a>)1</div>
+<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  / 3);</div>
+<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  }</div>
+<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>  }</div>
+<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  }</div>
+<div class="line"><a name="l00163"></a><span class="lineno"> 163</span> }</div>
+<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>  </div>
+<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>  </div>
+<div class="line"><a name="l00166"></a><span class="lineno"><a class="line" href="magnetic__based__position_8c.html#a01bb024303e8eb202a19dbd70b291c06"> 166</a></span> <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> <a class="code" href="magnetic__based__position_8c.html#a01bb024303e8eb202a19dbd70b291c06">magnetic_based_get_r</a>(<a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> B, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> theta, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> k)</div>
+<div class="line"><a name="l00167"></a><span class="lineno"> 167</span> {</div>
+<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> r = 0;</div>
+<div class="line"><a name="l00169"></a><span class="lineno"> 169</span>  </div>
+<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>  <span class="keywordflow">if</span> (B == 0) {</div>
+<div class="line"><a name="l00171"></a><span class="lineno"> 171</span>  <span class="keywordflow">return</span> <a class="code" href="magnetic__based__position_8h.html#a2ab193fcd7e0bc8f46ce92c3299b99bc">MILPS_MAX_DIST</a>;</div>
+<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>  }</div>
+<div class="line"><a name="l00173"></a><span class="lineno"> 173</span>  <span class="keywordflow">else</span> {</div>
+<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>  <span class="keywordflow">if</span> (theta == 0) {</div>
+<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>  r = pow(k / B, (<a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a>)1 / 3);</div>
+<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>  }</div>
+<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>  <span class="keywordflow">else</span> {</div>
+<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>  </div>
+<div class="line"><a name="l00179"></a><span class="lineno"> 179</span>  r = pow(k * sqrt(1 + 3 * pow(sin(theta), 2)) / B,</div>
+<div class="line"><a name="l00180"></a><span class="lineno"> 180</span>  (<a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a>)1 / 3);</div>
+<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>  }</div>
+<div class="line"><a name="l00182"></a><span class="lineno"> 182</span>  }</div>
+<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>  </div>
+<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>  <span class="keywordflow">return</span> r;</div>
+<div class="line"><a name="l00185"></a><span class="lineno"> 185</span> }</div>
+<div class="line"><a name="l00186"></a><span class="lineno"> 186</span>  </div>
+<div class="line"><a name="l00187"></a><span class="lineno"> 187</span> <span class="comment">// PC proprocessing</span></div>
+<div class="line"><a name="l00188"></a><span class="lineno"><a class="line" href="magnetic__based__position_8c.html#af316f67cb87759b57bc815326b8d1cef"> 188</a></span> <span class="keywordtype">void</span> <a class="code" href="magnetic__based__position_8c.html#af316f67cb87759b57bc815326b8d1cef">magnetic_based_preprocessing_get_position</a>(uint8_t anchor_num,</div>
+<div class="line"><a name="l00189"></a><span class="lineno"> 189</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> anchor_pos_matrix[anchor_num][3],</div>
+<div class="line"><a name="l00190"></a><span class="lineno"> 190</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> pseudo_inv_matrix[4][anchor_num],</div>
+<div class="line"><a name="l00191"></a><span class="lineno"> 191</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> homog_sol_arr[],</div>
+<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> solution_x1[],</div>
+<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> solution_x2[])</div>
+<div class="line"><a name="l00194"></a><span class="lineno"> 194</span> {</div>
+<div class="line"><a name="l00195"></a><span class="lineno"> 195</span>  </div>
+<div class="line"><a name="l00196"></a><span class="lineno"> 196</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> dist_arr[anchor_num];</div>
+<div class="line"><a name="l00197"></a><span class="lineno"> 197</span>  </div>
+<div class="line"><a name="l00198"></a><span class="lineno"> 198</span>  <a class="code" href="trilateration_8h.html#a95fc45efcb10019be21704539eeedefb">trilateration1</a>(anchor_num, anchor_pos_matrix, pseudo_inv_matrix,</div>
+<div class="line"><a name="l00199"></a><span class="lineno"> 199</span>  homog_sol_arr, dist_arr, solution_x1, solution_x2);</div>
+<div class="line"><a name="l00200"></a><span class="lineno"> 200</span>  </div>
+<div class="line"><a name="l00201"></a><span class="lineno"> 201</span> }</div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="avector_8h_html_a4cfc452fdff3e32a601ccff140cd9ae6"><div class="ttname"><a href="vector_8h.html#a4cfc452fdff3e32a601ccff140cd9ae6">vector_get_norm2</a></div><div class="ttdeci">vector_t vector_get_norm2(uint8_t length, vector_t arr[])</div><div class="ttdoc">Compute the 2-norm norm of a vector.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00042">vector.c:42</a></div></div>
+<div class="ttc" id="avector_8h_html_ab2827264910e858f238868695a92db4b"><div class="ttname"><a href="vector_8h.html#ab2827264910e858f238868695a92db4b">vector_flex_print</a></div><div class="ttdeci">void vector_flex_print(uint32_t length, vector_t arr[], uint8_t before_dot, uint8_t after_dot)</div><div class="ttdoc">Display the values of the vector's elements.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00284">vector.c:284</a></div></div>
+<div class="ttc" id="amagnetic__based__position_8h_html_a2ab193fcd7e0bc8f46ce92c3299b99bc"><div class="ttname"><a href="magnetic__based__position_8h.html#a2ab193fcd7e0bc8f46ce92c3299b99bc">MILPS_MAX_DIST</a></div><div class="ttdeci">#define MILPS_MAX_DIST</div><div class="ttdoc">The number of turns of the wire.</div><div class="ttdef"><b>Definition:</b> <a href="magnetic__based__position_8h_source.html#l00080">magnetic_based_position.h:80</a></div></div>
+<div class="ttc" id="atrilateration_8h_html"><div class="ttname"><a href="trilateration_8h.html">trilateration.h</a></div><div class="ttdoc">Implement the trilateration algorithm.</div></div>
+<div class="ttc" id="amagnetic__based__position_8c_html_a01bb024303e8eb202a19dbd70b291c06"><div class="ttname"><a href="magnetic__based__position_8c.html#a01bb024303e8eb202a19dbd70b291c06">magnetic_based_get_r</a></div><div class="ttdeci">matrix_t magnetic_based_get_r(matrix_t B, matrix_t theta, matrix_t k)</div><div class="ttdoc">Computes the distance between a mobile station and a reference stations of a magnet-based localizatio...</div><div class="ttdef"><b>Definition:</b> <a href="magnetic__based__position_8c_source.html#l00166">magnetic_based_position.c:166</a></div></div>
+<div class="ttc" id="amagnetic__based__position_8h_html"><div class="ttname"><a href="magnetic__based__position_8h.html">magnetic_based_position.h</a></div><div class="ttdoc">Functions of of DC-pulsed, magnetic localization system.</div></div>
+<div class="ttc" id="amatrix_8h_html"><div class="ttname"><a href="matrix_8h.html">matrix.h</a></div><div class="ttdoc">Matrix computations.</div></div>
+<div class="ttc" id="amagnetic__based__position_8c_html_ae584dff239a0111c47b7c5d1e197af59"><div class="ttname"><a href="magnetic__based__position_8c.html#ae584dff239a0111c47b7c5d1e197af59">magnetic_based_get_distances</a></div><div class="ttdeci">void magnetic_based_get_distances(matrix_t magnetic_field_strength_arr[], matrix_t angular_theta_arr[], matrix_t distance_arr[], uint8_t length, matrix_t k)</div><div class="ttdoc">Computes the distances between a mobile station and the reference stations of a magnet-based localiza...</div><div class="ttdef"><b>Definition:</b> <a href="magnetic__based__position_8c_source.html#l00125">magnetic_based_position.c:125</a></div></div>
+<div class="ttc" id="amagnetic__based__position_8c_html_aac026f28838a5b30c8f6f189e3ab354c"><div class="ttname"><a href="magnetic__based__position_8c.html#aac026f28838a5b30c8f6f189e3ab354c">magnetic_based_get_magnetic_field_vec</a></div><div class="ttdeci">void magnetic_based_get_magnetic_field_vec(uint8_t m, matrix_t ref_point_matrix[m][3], matrix_t target_point[], matrix_t k, matrix_t magn_field_vec[])</div><div class="ttdoc">Computes the magnetic field strengths from a mobile station to various reference stations.</div><div class="ttdef"><b>Definition:</b> <a href="magnetic__based__position_8c_source.html#l00091">magnetic_based_position.c:91</a></div></div>
+<div class="ttc" id="amagnetic__based__position_8c_html_af316f67cb87759b57bc815326b8d1cef"><div class="ttname"><a href="magnetic__based__position_8c.html#af316f67cb87759b57bc815326b8d1cef">magnetic_based_preprocessing_get_position</a></div><div class="ttdeci">void magnetic_based_preprocessing_get_position(uint8_t anchor_num, matrix_t anchor_pos_matrix[anchor_num][3], matrix_t pseudo_inv_matrix[4][anchor_num], matrix_t homog_sol_arr[], matrix_t solution_x1[], matrix_t solution_x2[])</div><div class="ttdoc">Computes the position of a mobile station by a magnetic-based localization system.</div><div class="ttdef"><b>Definition:</b> <a href="magnetic__based__position_8c_source.html#l00188">magnetic_based_position.c:188</a></div></div>
+<div class="ttc" id="amatrix_8h_html_af38ac6b76d645fea9abd6caeb4d9dd31"><div class="ttname"><a href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a></div><div class="ttdeci">#define matrix_t</div><div class="ttdoc">Define the data type of the matrix elements.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8h_source.html#l00038">matrix.h:38</a></div></div>
+<div class="ttc" id="avector_8h_html"><div class="ttname"><a href="vector_8h.html">vector.h</a></div><div class="ttdoc">Vector computations.</div></div>
+<div class="ttc" id="atrilateration_8h_html_a95fc45efcb10019be21704539eeedefb"><div class="ttname"><a href="trilateration_8h.html#a95fc45efcb10019be21704539eeedefb">trilateration1</a></div><div class="ttdeci">void trilateration1(uint8_t anchor_num, matrix_t anchor_pos_matrix[anchor_num][3], matrix_t pseudo_inv_matrix[4][anchor_num], matrix_t homog_sol_arr[], matrix_t dist_arr[], matrix_t solution_x1[], matrix_t solution_x2[])</div><div class="ttdoc">Implement the trilateration algorithm using the pre-processed pseudo-inverse matrix.</div><div class="ttdef"><b>Definition:</b> <a href="trilateration_8c_source.html#l00032">trilateration.c:32</a></div></div>
+<div class="ttc" id="amagnetic__based__position_8c_html_ac852e4c0dcb8e9901aa3fab5efd91599"><div class="ttname"><a href="magnetic__based__position_8c.html#ac852e4c0dcb8e9901aa3fab5efd91599">magnetic_based_get_distances_to_anchors</a></div><div class="ttdeci">matrix_t magnetic_based_get_distances_to_anchors(matrix_t ref_point[3], matrix_t point[3])</div><div class="ttdoc">Computes the distance between a mobile station and a reference station of magnetic-based localization...</div><div class="ttdef"><b>Definition:</b> <a href="magnetic__based__position_8c_source.html#l00050">magnetic_based_position.c:50</a></div></div>
+<div class="ttc" id="avector_8h_html_a3bbd999b10064c2ede2bd427aa040b63"><div class="ttname"><a href="vector_8h.html#a3bbd999b10064c2ede2bd427aa040b63">vector_sub</a></div><div class="ttdeci">void vector_sub(uint8_t size, vector_t a_vec[], vector_t b_vec[], vector_t a_minus_b[])</div><div class="ttdoc">Compute the subtraction of two vectors.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00094">vector.c:94</a></div></div>
+<div class="ttc" id="amagnetic__based__position_8c_html_ad5a7513337486e277ea028480403569d"><div class="ttname"><a href="magnetic__based__position_8c.html#ad5a7513337486e277ea028480403569d">magnetic_based_get_absolute_error</a></div><div class="ttdeci">void magnetic_based_get_absolute_error(matrix_t value_arr[], matrix_t approx_value_arr[], matrix_t absolute_error_arr[], uint8_t length)</div><div class="ttdoc">Computes the absolute error of a position of magnet-based localization system.</div><div class="ttdef"><b>Definition:</b> <a href="magnetic__based__position_8c_source.html#l00034">magnetic_based_position.c:34</a></div></div>
+<div class="ttc" id="amagnetic__based__position_8c_html_a361f3f3c4f9516a1aa6107367ebfda8d"><div class="ttname"><a href="magnetic__based__position_8c.html#a361f3f3c4f9516a1aa6107367ebfda8d">magnetic_based_get_magnetic_field</a></div><div class="ttdeci">matrix_t magnetic_based_get_magnetic_field(matrix_t ref_point[3], matrix_t target_point[3], matrix_t k)</div><div class="ttdoc">Computes the magnetic field strength from a mobile station to a reference station.</div><div class="ttdef"><b>Definition:</b> <a href="magnetic__based__position_8c_source.html#l00062">magnetic_based_position.c:62</a></div></div>
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+ <div class="summary">
+<a href="#define-members">Macros</a> |
+<a href="#func-members">Functions</a> </div>
+ <div class="headertitle">
+<div class="title">magnetic_based_position.h File Reference<div class="ingroups"><a class="el" href="group__localization.html">LOCALIZATION</a> » <a class="el" href="group__position__algos.html">POSITION_ALGOS</a> » <a class="el" href="group__magnetic__based.html">MAGNETIC_BASED</a></div></div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Functions of of DC-pulsed, magnetic localization system.
+<a href="#details">More...</a></p>
+<div class="textblock"><code>#include <inttypes.h></code><br />
+<code>#include <math.h></code><br />
+<code>#include "<a class="el" href="matrix_8h_source.html">matrix.h</a>"</code><br />
+</div>
+<p><a href="magnetic__based__position_8h_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="define-members"></a>
+Macros</h2></td></tr>
+<tr class="memitem:a73d113d91ab7ec355ca707cc930eb718"><td class="memItemLeft" align="right" valign="top"><a id="a73d113d91ab7ec355ca707cc930eb718"></a>
+#define </td><td class="memItemRight" valign="bottom"><a class="el" href="magnetic__based__position_8h.html#a73d113d91ab7ec355ca707cc930eb718">I0</a>   15</td></tr>
+<tr class="memdesc:a73d113d91ab7ec355ca707cc930eb718"><td class="mdescLeft"> </td><td class="mdescRight">The current running through the coil. <br /></td></tr>
+<tr class="separator:a73d113d91ab7ec355ca707cc930eb718"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:af9cccf331f045b89a9f12366df5f7687"><td class="memItemLeft" align="right" valign="top"><a id="af9cccf331f045b89a9f12366df5f7687"></a>
+#define </td><td class="memItemRight" valign="bottom"><a class="el" href="magnetic__based__position_8h.html#af9cccf331f045b89a9f12366df5f7687">NW</a>   140</td></tr>
+<tr class="memdesc:af9cccf331f045b89a9f12366df5f7687"><td class="mdescLeft"> </td><td class="mdescRight">The number of turns of the wire. <br /></td></tr>
+<tr class="separator:af9cccf331f045b89a9f12366df5f7687"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a30ab9da60435727bc80839d416461b8f"><td class="memItemLeft" align="right" valign="top"><a id="a30ab9da60435727bc80839d416461b8f"></a>
+#define </td><td class="memItemRight" valign="bottom"><a class="el" href="magnetic__based__position_8h.html#a30ab9da60435727bc80839d416461b8f">R0</a>   0.25</td></tr>
+<tr class="memdesc:a30ab9da60435727bc80839d416461b8f"><td class="mdescLeft"> </td><td class="mdescRight">The radius of the coil. <br /></td></tr>
+<tr class="separator:a30ab9da60435727bc80839d416461b8f"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a598a3330b3c21701223ee0ca14316eca"><td class="memItemLeft" align="right" valign="top"><a id="a598a3330b3c21701223ee0ca14316eca"></a>
+#define </td><td class="memItemRight" valign="bottom"><a class="el" href="magnetic__based__position_8h.html#a598a3330b3c21701223ee0ca14316eca">PI</a>   3.14159265358979323846</td></tr>
+<tr class="memdesc:a598a3330b3c21701223ee0ca14316eca"><td class="mdescLeft"> </td><td class="mdescRight">The pi constant. <br /></td></tr>
+<tr class="separator:a598a3330b3c21701223ee0ca14316eca"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a6f98ae7b0908254a0dfd1627e652bebe"><td class="memItemLeft" align="right" valign="top"><a id="a6f98ae7b0908254a0dfd1627e652bebe"></a>
+#define </td><td class="memItemRight" valign="bottom"><a class="el" href="magnetic__based__position_8h.html#a6f98ae7b0908254a0dfd1627e652bebe">AR</a>   <a class="el" href="magnetic__based__position_8h.html#a598a3330b3c21701223ee0ca14316eca">PI</a> * <a class="el" href="magnetic__based__position_8h.html#a30ab9da60435727bc80839d416461b8f">R0</a> * <a class="el" href="magnetic__based__position_8h.html#a30ab9da60435727bc80839d416461b8f">R0</a></td></tr>
+<tr class="memdesc:a6f98ae7b0908254a0dfd1627e652bebe"><td class="mdescLeft"> </td><td class="mdescRight">The base area of the coil. <br /></td></tr>
+<tr class="separator:a6f98ae7b0908254a0dfd1627e652bebe"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a0fa11f33bdb89b468b60f19395381cc4"><td class="memItemLeft" align="right" valign="top"><a id="a0fa11f33bdb89b468b60f19395381cc4"></a>
+#define </td><td class="memItemRight" valign="bottom"><a class="el" href="magnetic__based__position_8h.html#a0fa11f33bdb89b468b60f19395381cc4">MU0</a>   4 * <a class="el" href="magnetic__based__position_8h.html#a598a3330b3c21701223ee0ca14316eca">PI</a> * 1E-7</td></tr>
+<tr class="memdesc:a0fa11f33bdb89b468b60f19395381cc4"><td class="mdescLeft"> </td><td class="mdescRight">The permeability of free space,. <br /></td></tr>
+<tr class="separator:a0fa11f33bdb89b468b60f19395381cc4"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a97d832ae23af4f215e801e37e4f94254"><td class="memItemLeft" align="right" valign="top"><a id="a97d832ae23af4f215e801e37e4f94254"></a>
+#define </td><td class="memItemRight" valign="bottom"><a class="el" href="magnetic__based__position_8h.html#a97d832ae23af4f215e801e37e4f94254">K</a>   <a class="el" href="magnetic__based__position_8h.html#a0fa11f33bdb89b468b60f19395381cc4">MU0</a> * <a class="el" href="magnetic__based__position_8h.html#af9cccf331f045b89a9f12366df5f7687">NW</a> * <a class="el" href="magnetic__based__position_8h.html#a73d113d91ab7ec355ca707cc930eb718">I0</a> * <a class="el" href="magnetic__based__position_8h.html#a6f98ae7b0908254a0dfd1627e652bebe">AR</a> / (4 * <a class="el" href="magnetic__based__position_8h.html#a598a3330b3c21701223ee0ca14316eca">PI</a>)</td></tr>
+<tr class="memdesc:a97d832ae23af4f215e801e37e4f94254"><td class="mdescLeft"> </td><td class="mdescRight">The K constant. <br /></td></tr>
+<tr class="separator:a97d832ae23af4f215e801e37e4f94254"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a544d6868e9b6cf4f9b9db9e1ad413691"><td class="memItemLeft" align="right" valign="top"><a id="a544d6868e9b6cf4f9b9db9e1ad413691"></a>
+#define </td><td class="memItemRight" valign="bottom"><a class="el" href="magnetic__based__position_8h.html#a544d6868e9b6cf4f9b9db9e1ad413691">MG_TO_T</a>   1E7</td></tr>
+<tr class="memdesc:a544d6868e9b6cf4f9b9db9e1ad413691"><td class="mdescLeft"> </td><td class="mdescRight">From Mega Gauss to Tesla. <br /></td></tr>
+<tr class="separator:a544d6868e9b6cf4f9b9db9e1ad413691"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a3ee4ec231172a5fd866f72acead15bc4"><td class="memItemLeft" align="right" valign="top"><a id="a3ee4ec231172a5fd866f72acead15bc4"></a>
+#define </td><td class="memItemRight" valign="bottom"><a class="el" href="magnetic__based__position_8h.html#a3ee4ec231172a5fd866f72acead15bc4">K_T</a>   <a class="el" href="magnetic__based__position_8h.html#a97d832ae23af4f215e801e37e4f94254">K</a> * <a class="el" href="magnetic__based__position_8h.html#a544d6868e9b6cf4f9b9db9e1ad413691">MG_TO_T</a></td></tr>
+<tr class="memdesc:a3ee4ec231172a5fd866f72acead15bc4"><td class="mdescLeft"> </td><td class="mdescRight">The number of turns of the wire. <br /></td></tr>
+<tr class="separator:a3ee4ec231172a5fd866f72acead15bc4"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a2ab193fcd7e0bc8f46ce92c3299b99bc"><td class="memItemLeft" align="right" valign="top"><a id="a2ab193fcd7e0bc8f46ce92c3299b99bc"></a>
+#define </td><td class="memItemRight" valign="bottom"><a class="el" href="magnetic__based__position_8h.html#a2ab193fcd7e0bc8f46ce92c3299b99bc">MILPS_MAX_DIST</a>   25</td></tr>
+<tr class="memdesc:a2ab193fcd7e0bc8f46ce92c3299b99bc"><td class="mdescLeft"> </td><td class="mdescRight">The number of turns of the wire. <br /></td></tr>
+<tr class="separator:a2ab193fcd7e0bc8f46ce92c3299b99bc"><td class="memSeparator" colspan="2"> </td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ad5a7513337486e277ea028480403569d"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="magnetic__based__position_8h.html#ad5a7513337486e277ea028480403569d">magnetic_based_get_absolute_error</a> (<a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> value_arr[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> approx_value_arr[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> absolute_error_arr[], uint8_t length)</td></tr>
+<tr class="memdesc:ad5a7513337486e277ea028480403569d"><td class="mdescLeft"> </td><td class="mdescRight">Computes the absolute error of a position of magnet-based localization system. <a href="magnetic__based__position_8h.html#ad5a7513337486e277ea028480403569d">More...</a><br /></td></tr>
+<tr class="separator:ad5a7513337486e277ea028480403569d"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:ae584dff239a0111c47b7c5d1e197af59"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="magnetic__based__position_8h.html#ae584dff239a0111c47b7c5d1e197af59">magnetic_based_get_distances</a> (<a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> magnetic_field_strength_arr[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> angular_theta_arr[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> distance_arr[], uint8_t length, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> k)</td></tr>
+<tr class="memdesc:ae584dff239a0111c47b7c5d1e197af59"><td class="mdescLeft"> </td><td class="mdescRight">Computes the distances between a mobile station and the reference stations of a magnet-based localization system. <a href="magnetic__based__position_8h.html#ae584dff239a0111c47b7c5d1e197af59">More...</a><br /></td></tr>
+<tr class="separator:ae584dff239a0111c47b7c5d1e197af59"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a01bb024303e8eb202a19dbd70b291c06"><td class="memItemLeft" align="right" valign="top"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="magnetic__based__position_8h.html#a01bb024303e8eb202a19dbd70b291c06">magnetic_based_get_r</a> (<a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> B, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> theta, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> k)</td></tr>
+<tr class="memdesc:a01bb024303e8eb202a19dbd70b291c06"><td class="mdescLeft"> </td><td class="mdescRight">Computes the distance between a mobile station and a reference stations of a magnet-based localization system. <a href="magnetic__based__position_8h.html#a01bb024303e8eb202a19dbd70b291c06">More...</a><br /></td></tr>
+<tr class="separator:a01bb024303e8eb202a19dbd70b291c06"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:ac852e4c0dcb8e9901aa3fab5efd91599"><td class="memItemLeft" align="right" valign="top"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="magnetic__based__position_8h.html#ac852e4c0dcb8e9901aa3fab5efd91599">magnetic_based_get_distances_to_anchors</a> (<a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3])</td></tr>
+<tr class="memdesc:ac852e4c0dcb8e9901aa3fab5efd91599"><td class="mdescLeft"> </td><td class="mdescRight">Computes the distance between a mobile station and a reference station of magnetic-based localization system. <a href="magnetic__based__position_8h.html#ac852e4c0dcb8e9901aa3fab5efd91599">More...</a><br /></td></tr>
+<tr class="separator:ac852e4c0dcb8e9901aa3fab5efd91599"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a361f3f3c4f9516a1aa6107367ebfda8d"><td class="memItemLeft" align="right" valign="top"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="magnetic__based__position_8h.html#a361f3f3c4f9516a1aa6107367ebfda8d">magnetic_based_get_magnetic_field</a> (<a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> target_point[3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> k)</td></tr>
+<tr class="memdesc:a361f3f3c4f9516a1aa6107367ebfda8d"><td class="mdescLeft"> </td><td class="mdescRight">Computes the magnetic field strength from a mobile station to a reference station. <a href="magnetic__based__position_8h.html#a361f3f3c4f9516a1aa6107367ebfda8d">More...</a><br /></td></tr>
+<tr class="separator:a361f3f3c4f9516a1aa6107367ebfda8d"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:aac026f28838a5b30c8f6f189e3ab354c"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="magnetic__based__position_8h.html#aac026f28838a5b30c8f6f189e3ab354c">magnetic_based_get_magnetic_field_vec</a> (uint8_t m, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_matrix[m][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> target_point[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> k, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> magn_field_vec[])</td></tr>
+<tr class="memdesc:aac026f28838a5b30c8f6f189e3ab354c"><td class="mdescLeft"> </td><td class="mdescRight">Computes the magnetic field strengths from a mobile station to various reference stations. <a href="magnetic__based__position_8h.html#aac026f28838a5b30c8f6f189e3ab354c">More...</a><br /></td></tr>
+<tr class="separator:aac026f28838a5b30c8f6f189e3ab354c"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:af316f67cb87759b57bc815326b8d1cef"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="magnetic__based__position_8h.html#af316f67cb87759b57bc815326b8d1cef">magnetic_based_preprocessing_get_position</a> (uint8_t anchor_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> anchor_pos_matrix[anchor_num][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> pseudo_inv_matrix[4][anchor_num], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> homog_sol_arr[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> solution_x1[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> solution_x2[])</td></tr>
+<tr class="memdesc:af316f67cb87759b57bc815326b8d1cef"><td class="mdescLeft"> </td><td class="mdescRight">Computes the position of a mobile station by a magnetic-based localization system. <a href="magnetic__based__position_8h.html#af316f67cb87759b57bc815326b8d1cef">More...</a><br /></td></tr>
+<tr class="separator:af316f67cb87759b57bc815326b8d1cef"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Functions of of DC-pulsed, magnetic localization system. </p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd>
+<dd>
+Abdelmoumen Norrdine <a href="#" onclick="location.href='mai'+'lto:'+'a.n'+'or'+'rdi'+'ne'+'@go'+'og'+'lem'+'ai'+'l.c'+'om'; return false;">a.nor<span style="display: none;">.nosp@m.</span>rdin<span style="display: none;">.nosp@m.</span>e@goo<span style="display: none;">.nosp@m.</span>glem<span style="display: none;">.nosp@m.</span>ail.c<span style="display: none;">.nosp@m.</span>om</a> </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="magnetic__based__position_8h_source.html">magnetic_based_position.h</a>.</p>
+</div><h2 class="groupheader">Function Documentation</h2>
+<a id="ad5a7513337486e277ea028480403569d"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#ad5a7513337486e277ea028480403569d">◆ </a></span>magnetic_based_get_absolute_error()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void magnetic_based_get_absolute_error </td>
+ <td>(</td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>value_arr</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>approx_value_arr</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>absolute_error_arr</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>length</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Computes the absolute error of a position of magnet-based localization system. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">value_arr</td><td>true position. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">approx_value_arr</td><td>approximate position of the mobile device. </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">absolute_error_arr</td><td>includes the absolute error. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">length</td><td>arrays length. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="magnetic__based__position_8c_source.html#l00034">34</a> of file <a class="el" href="magnetic__based__position_8c_source.html">magnetic_based_position.c</a>.</p>
+
+</div>
+</div>
+<a id="ae584dff239a0111c47b7c5d1e197af59"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#ae584dff239a0111c47b7c5d1e197af59">◆ </a></span>magnetic_based_get_distances()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void magnetic_based_get_distances </td>
+ <td>(</td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>magnetic_field_strength_arr</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>angular_theta_arr</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>distance_arr</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>length</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>k</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Computes the distances between a mobile station and the reference stations of a magnet-based localization system. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">magnetic_field_strength_arr[]</td><td>includes the magnetic field strengths. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">angular_theta_arr[]</td><td>elevation angles. </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">distance_arr[]</td><td>distance array. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">length</td><td>length of the arrays. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">k</td><td>magnetic constant. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="magnetic__based__position_8c_source.html#l00125">125</a> of file <a class="el" href="magnetic__based__position_8c_source.html">magnetic_based_position.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>, and <a class="el" href="magnetic__based__position_8h_source.html#l00080">MILPS_MAX_DIST</a>.</p>
+
+</div>
+</div>
+<a id="ac852e4c0dcb8e9901aa3fab5efd91599"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#ac852e4c0dcb8e9901aa3fab5efd91599">◆ </a></span>magnetic_based_get_distances_to_anchors()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> magnetic_based_get_distances_to_anchors </td>
+ <td>(</td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>ref_point</em>[3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>point</em>[3] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Computes the distance between a mobile station and a reference station of magnetic-based localization system. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">ref_point[]</td><td>three-dimensional coordinates of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">point[]</td><td>three-dimensional coordinates of the mobile device.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the distance between the mobile station and the reference station. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="magnetic__based__position_8c_source.html#l00050">50</a> of file <a class="el" href="magnetic__based__position_8c_source.html">magnetic_based_position.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>, <a class="el" href="vector_8c_source.html#l00042">vector_get_norm2()</a>, and <a class="el" href="vector_8c_source.html#l00094">vector_sub()</a>.</p>
+
+</div>
+</div>
+<a id="a361f3f3c4f9516a1aa6107367ebfda8d"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a361f3f3c4f9516a1aa6107367ebfda8d">◆ </a></span>magnetic_based_get_magnetic_field()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> magnetic_based_get_magnetic_field </td>
+ <td>(</td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>ref_point</em>[3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>target_point</em>[3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>k</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Computes the magnetic field strength from a mobile station to a reference station. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">ref_point[]</td><td>three-dimensional coordinates of a reference station. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">target_point[]</td><td>three-dimensional coordinates of the mobile device. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">k</td><td>magnetic constant.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the magnetic field strength. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="magnetic__based__position_8c_source.html#l00062">62</a> of file <a class="el" href="magnetic__based__position_8c_source.html">magnetic_based_position.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>, and <a class="el" href="vector_8c_source.html#l00284">vector_flex_print()</a>.</p>
+
+</div>
+</div>
+<a id="aac026f28838a5b30c8f6f189e3ab354c"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#aac026f28838a5b30c8f6f189e3ab354c">◆ </a></span>magnetic_based_get_magnetic_field_vec()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void magnetic_based_get_magnetic_field_vec </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>ref_point_matrix</em>[m][3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>target_point</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>k</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>magn_field_vec</em>[] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Computes the magnetic field strengths from a mobile station to various reference stations. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>number of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">ref_point_matrix[][]</td><td>three-dimensional coordinates of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">target_point[]</td><td>three-dimensional coordinates of the mobile device. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">k</td><td>magnetic constant. </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">magn_field_vec[]</td><td>includes the magnetic field strengths. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="magnetic__based__position_8c_source.html#l00091">91</a> of file <a class="el" href="magnetic__based__position_8c_source.html">magnetic_based_position.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>.</p>
+
+</div>
+</div>
+<a id="a01bb024303e8eb202a19dbd70b291c06"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a01bb024303e8eb202a19dbd70b291c06">◆ </a></span>magnetic_based_get_r()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> magnetic_based_get_r </td>
+ <td>(</td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>B</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>theta</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>k</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Computes the distance between a mobile station and a reference stations of a magnet-based localization system. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">B</td><td>magnetic field strength. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">theta</td><td>elevation angle. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">k</td><td>magnetic constant.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the distance between the mobile station and the reference station. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="magnetic__based__position_8c_source.html#l00166">166</a> of file <a class="el" href="magnetic__based__position_8c_source.html">magnetic_based_position.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>, and <a class="el" href="magnetic__based__position_8h_source.html#l00080">MILPS_MAX_DIST</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="magnetic__based__test_8c_source.html#l00034">magnetic_based_test()</a>.</p>
+
+</div>
+</div>
+<a id="af316f67cb87759b57bc815326b8d1cef"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#af316f67cb87759b57bc815326b8d1cef">◆ </a></span>magnetic_based_preprocessing_get_position()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void magnetic_based_preprocessing_get_position </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>anchor_num</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>anchor_pos_matrix</em>[anchor_num][3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>pseudo_inv_matrix</em>[4][anchor_num], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>homog_sol_arr</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>solution_x1</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>solution_x2</em>[] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Computes the position of a mobile station by a magnetic-based localization system. </p>
+<p>The position is computed based on a pre-processed pseudo-inverse matrix and the homogeneous solution in the case of three reference stations.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">anchor_num</td><td>number of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">anchor_pos_matrix[][]</td><td>coordinates of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">pseudo_inv_matrix[][[]</td><td>pointer to the pre-processed pseudo-inverse matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">homog_sol_arr[]</td><td>pointer to the homogeneous solution. </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">solution_x1[]</td><td>includes the first solution. </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">solution_x2[]</td><td>includes the second solution. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="magnetic__based__position_8c_source.html#l00188">188</a> of file <a class="el" href="magnetic__based__position_8c_source.html">magnetic_based_position.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>, and <a class="el" href="trilateration_8c_source.html#l00032">trilateration1()</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="navelem"><a class="el" href="dir_ca7b3fe3a5c68321cdadecc73cd5d1a0.html">localization</a></li><li class="navelem"><a class="el" href="dir_fdc176930829c278cabf5fddd85dbef8.html">position_algos</a></li><li class="navelem"><a class="el" href="dir_9f6bed594baf424ccac6ba79953e888e.html">magnetic_based</a></li><li class="navelem"><a class="el" href="dir_b8d2d01ff28d5da2ee9069d013a4a508.html">include</a></li><li class="navelem"><a class="el" href="magnetic__based__position_8h.html">magnetic_based_position.h</a></li>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
+ </ul>
+</div>
+</body>
+</html>
diff --git a/doc/doxygen/html/magnetic__based__position_8h.js b/doc/doxygen/html/magnetic__based__position_8h.js
new file mode 100644
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--- /dev/null
+++ b/doc/doxygen/html/magnetic__based__position_8h.js
@@ -0,0 +1,20 @@
+var magnetic__based__position_8h =
+[
+ [ "AR", "magnetic__based__position_8h.html#a6f98ae7b0908254a0dfd1627e652bebe", null ],
+ [ "I0", "magnetic__based__position_8h.html#a73d113d91ab7ec355ca707cc930eb718", null ],
+ [ "K", "magnetic__based__position_8h.html#a97d832ae23af4f215e801e37e4f94254", null ],
+ [ "K_T", "magnetic__based__position_8h.html#a3ee4ec231172a5fd866f72acead15bc4", null ],
+ [ "MG_TO_T", "magnetic__based__position_8h.html#a544d6868e9b6cf4f9b9db9e1ad413691", null ],
+ [ "MILPS_MAX_DIST", "magnetic__based__position_8h.html#a2ab193fcd7e0bc8f46ce92c3299b99bc", null ],
+ [ "MU0", "magnetic__based__position_8h.html#a0fa11f33bdb89b468b60f19395381cc4", null ],
+ [ "NW", "magnetic__based__position_8h.html#af9cccf331f045b89a9f12366df5f7687", null ],
+ [ "PI", "magnetic__based__position_8h.html#a598a3330b3c21701223ee0ca14316eca", null ],
+ [ "R0", "magnetic__based__position_8h.html#a30ab9da60435727bc80839d416461b8f", null ],
+ [ "magnetic_based_get_absolute_error", "magnetic__based__position_8h.html#ad5a7513337486e277ea028480403569d", null ],
+ [ "magnetic_based_get_distances", "magnetic__based__position_8h.html#ae584dff239a0111c47b7c5d1e197af59", null ],
+ [ "magnetic_based_get_distances_to_anchors", "magnetic__based__position_8h.html#ac852e4c0dcb8e9901aa3fab5efd91599", null ],
+ [ "magnetic_based_get_magnetic_field", "magnetic__based__position_8h.html#a361f3f3c4f9516a1aa6107367ebfda8d", null ],
+ [ "magnetic_based_get_magnetic_field_vec", "magnetic__based__position_8h.html#aac026f28838a5b30c8f6f189e3ab354c", null ],
+ [ "magnetic_based_get_r", "magnetic__based__position_8h.html#a01bb024303e8eb202a19dbd70b291c06", null ],
+ [ "magnetic_based_preprocessing_get_position", "magnetic__based__position_8h.html#af316f67cb87759b57bc815326b8d1cef", null ]
+];
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+<html xmlns="http://www.w3.org/1999/xhtml">
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+<meta name="generator" content="Doxygen 1.8.16"/>
+<meta name="viewport" content="width=device-width, initial-scale=1"/>
+<title>RcdMathLib_doc: magnetic_based_position.h Source File</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="jquery.js"></script>
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+ <div id="projectname">RcdMathLib_doc
+ </div>
+ <div id="projectbrief">Open Source Library for Linear and Non-linear Algebra</div>
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+<div id="doc-content">
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
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+ <div class="headertitle">
+<div class="title">magnetic_based_position.h</div> </div>
+</div><!--header-->
+<div class="contents">
+<a href="magnetic__based__position_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="preprocessor">#ifndef MAGNETIC_BASED_POSITION_H_</span></div>
+<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#define MAGNETIC_BASED_POSITION_H_</span></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="preprocessor">#include <inttypes.h></span></div>
+<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="preprocessor">#include <math.h></span></div>
+<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>  </div>
+<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="preprocessor">#include "<a class="code" href="matrix_8h.html">matrix.h</a>"</span></div>
+<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  </div>
+<div class="line"><a name="l00035"></a><span class="lineno"><a class="line" href="magnetic__based__position_8h.html#a73d113d91ab7ec355ca707cc930eb718"> 35</a></span> <span class="preprocessor">#define I0 15</span></div>
+<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  </div>
+<div class="line"><a name="l00040"></a><span class="lineno"><a class="line" href="magnetic__based__position_8h.html#af9cccf331f045b89a9f12366df5f7687"> 40</a></span> <span class="preprocessor">#define NW 140</span></div>
+<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  </div>
+<div class="line"><a name="l00045"></a><span class="lineno"><a class="line" href="magnetic__based__position_8h.html#a30ab9da60435727bc80839d416461b8f"> 45</a></span> <span class="preprocessor">#define R0 0.25</span></div>
+<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  </div>
+<div class="line"><a name="l00050"></a><span class="lineno"><a class="line" href="magnetic__based__position_8h.html#a598a3330b3c21701223ee0ca14316eca"> 50</a></span> <span class="preprocessor">#define PI 3.14159265358979323846</span></div>
+<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  </div>
+<div class="line"><a name="l00055"></a><span class="lineno"><a class="line" href="magnetic__based__position_8h.html#a6f98ae7b0908254a0dfd1627e652bebe"> 55</a></span> <span class="preprocessor">#define AR PI * R0 * R0 //Loop area</span></div>
+<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  </div>
+<div class="line"><a name="l00060"></a><span class="lineno"><a class="line" href="magnetic__based__position_8h.html#a0fa11f33bdb89b468b60f19395381cc4"> 60</a></span> <span class="preprocessor">#define MU0 4 * PI * 1E-7 //TGm/A</span></div>
+<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  </div>
+<div class="line"><a name="l00065"></a><span class="lineno"><a class="line" href="magnetic__based__position_8h.html#a97d832ae23af4f215e801e37e4f94254"> 65</a></span> <span class="preprocessor">#define K MU0 * NW * I0 * AR / (4 * PI)</span></div>
+<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  </div>
+<div class="line"><a name="l00070"></a><span class="lineno"><a class="line" href="magnetic__based__position_8h.html#a544d6868e9b6cf4f9b9db9e1ad413691"> 70</a></span> <span class="preprocessor">#define MG_TO_T 1E7</span></div>
+<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  </div>
+<div class="line"><a name="l00075"></a><span class="lineno"><a class="line" href="magnetic__based__position_8h.html#a3ee4ec231172a5fd866f72acead15bc4"> 75</a></span> <span class="preprocessor">#define K_T K * MG_TO_T</span></div>
+<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  </div>
+<div class="line"><a name="l00080"></a><span class="lineno"><a class="line" href="magnetic__based__position_8h.html#a2ab193fcd7e0bc8f46ce92c3299b99bc"> 80</a></span> <span class="preprocessor">#define MILPS_MAX_DIST 25</span></div>
+<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  </div>
+<div class="line"><a name="l00092"></a><span class="lineno"> 92</span> <span class="keywordtype">void</span> <a class="code" href="magnetic__based__position_8h.html#ad5a7513337486e277ea028480403569d">magnetic_based_get_absolute_error</a>(<a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> value_arr[],</div>
+<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> approx_value_arr[],</div>
+<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> absolute_error_arr[],</div>
+<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  uint8_t length);</div>
+<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  </div>
+<div class="line"><a name="l00109"></a><span class="lineno"> 109</span> <span class="keywordtype">void</span> <a class="code" href="magnetic__based__position_8h.html#ae584dff239a0111c47b7c5d1e197af59">magnetic_based_get_distances</a>(<a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> magnetic_field_strength_arr[],</div>
+<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> angular_theta_arr[],</div>
+<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> distance_arr[], uint8_t length,</div>
+<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> k);</div>
+<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  </div>
+<div class="line"><a name="l00125"></a><span class="lineno"> 125</span> <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> <a class="code" href="magnetic__based__position_8h.html#a01bb024303e8eb202a19dbd70b291c06">magnetic_based_get_r</a>(<a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> B, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> theta, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> k);</div>
+<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  </div>
+<div class="line"><a name="l00137"></a><span class="lineno"> 137</span> <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> <a class="code" href="magnetic__based__position_8h.html#ac852e4c0dcb8e9901aa3fab5efd91599">magnetic_based_get_distances_to_anchors</a>(<a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point[3],</div>
+<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> point[3]);</div>
+<div class="line"><a name="l00149"></a><span class="lineno"> 149</span> <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> <a class="code" href="magnetic__based__position_8h.html#a361f3f3c4f9516a1aa6107367ebfda8d">magnetic_based_get_magnetic_field</a>(<a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point[3],</div>
+<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> target_point[3],</div>
+<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> k);</div>
+<div class="line"><a name="l00163"></a><span class="lineno"> 163</span> <span class="keywordtype">void</span> <a class="code" href="magnetic__based__position_8h.html#aac026f28838a5b30c8f6f189e3ab354c">magnetic_based_get_magnetic_field_vec</a>(uint8_t m,</div>
+<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_matrix[m][3],</div>
+<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> target_point[],</div>
+<div class="line"><a name="l00166"></a><span class="lineno"> 166</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> k,</div>
+<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> magn_field_vec[]);</div>
+<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>  </div>
+<div class="line"><a name="l00182"></a><span class="lineno"> 182</span> <span class="keywordtype">void</span> <a class="code" href="magnetic__based__position_8h.html#af316f67cb87759b57bc815326b8d1cef">magnetic_based_preprocessing_get_position</a>(uint8_t anchor_num,</div>
+<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> anchor_pos_matrix[anchor_num][3],</div>
+<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> pseudo_inv_matrix[4][anchor_num],</div>
+<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> homog_sol_arr[],</div>
+<div class="line"><a name="l00186"></a><span class="lineno"> 186</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> solution_x1[],</div>
+<div class="line"><a name="l00187"></a><span class="lineno"> 187</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> solution_x2[]);</div>
+<div class="line"><a name="l00188"></a><span class="lineno"> 188</span>  </div>
+<div class="line"><a name="l00189"></a><span class="lineno"> 189</span> <span class="preprocessor">#endif </span><span class="comment">/* MAGNETIC_BASED_POSITION_H_ */</span><span class="preprocessor"></span></div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="amagnetic__based__position_8h_html_ac852e4c0dcb8e9901aa3fab5efd91599"><div class="ttname"><a href="magnetic__based__position_8h.html#ac852e4c0dcb8e9901aa3fab5efd91599">magnetic_based_get_distances_to_anchors</a></div><div class="ttdeci">matrix_t magnetic_based_get_distances_to_anchors(matrix_t ref_point[3], matrix_t point[3])</div><div class="ttdoc">Computes the distance between a mobile station and a reference station of magnetic-based localization...</div><div class="ttdef"><b>Definition:</b> <a href="magnetic__based__position_8c_source.html#l00050">magnetic_based_position.c:50</a></div></div>
+<div class="ttc" id="amatrix_8h_html"><div class="ttname"><a href="matrix_8h.html">matrix.h</a></div><div class="ttdoc">Matrix computations.</div></div>
+<div class="ttc" id="amagnetic__based__position_8h_html_ae584dff239a0111c47b7c5d1e197af59"><div class="ttname"><a href="magnetic__based__position_8h.html#ae584dff239a0111c47b7c5d1e197af59">magnetic_based_get_distances</a></div><div class="ttdeci">void magnetic_based_get_distances(matrix_t magnetic_field_strength_arr[], matrix_t angular_theta_arr[], matrix_t distance_arr[], uint8_t length, matrix_t k)</div><div class="ttdoc">Computes the distances between a mobile station and the reference stations of a magnet-based localiza...</div><div class="ttdef"><b>Definition:</b> <a href="magnetic__based__position_8c_source.html#l00125">magnetic_based_position.c:125</a></div></div>
+<div class="ttc" id="amagnetic__based__position_8h_html_aac026f28838a5b30c8f6f189e3ab354c"><div class="ttname"><a href="magnetic__based__position_8h.html#aac026f28838a5b30c8f6f189e3ab354c">magnetic_based_get_magnetic_field_vec</a></div><div class="ttdeci">void magnetic_based_get_magnetic_field_vec(uint8_t m, matrix_t ref_point_matrix[m][3], matrix_t target_point[], matrix_t k, matrix_t magn_field_vec[])</div><div class="ttdoc">Computes the magnetic field strengths from a mobile station to various reference stations.</div><div class="ttdef"><b>Definition:</b> <a href="magnetic__based__position_8c_source.html#l00091">magnetic_based_position.c:91</a></div></div>
+<div class="ttc" id="amagnetic__based__position_8h_html_af316f67cb87759b57bc815326b8d1cef"><div class="ttname"><a href="magnetic__based__position_8h.html#af316f67cb87759b57bc815326b8d1cef">magnetic_based_preprocessing_get_position</a></div><div class="ttdeci">void magnetic_based_preprocessing_get_position(uint8_t anchor_num, matrix_t anchor_pos_matrix[anchor_num][3], matrix_t pseudo_inv_matrix[4][anchor_num], matrix_t homog_sol_arr[], matrix_t solution_x1[], matrix_t solution_x2[])</div><div class="ttdoc">Computes the position of a mobile station by a magnetic-based localization system.</div><div class="ttdef"><b>Definition:</b> <a href="magnetic__based__position_8c_source.html#l00188">magnetic_based_position.c:188</a></div></div>
+<div class="ttc" id="amatrix_8h_html_af38ac6b76d645fea9abd6caeb4d9dd31"><div class="ttname"><a href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a></div><div class="ttdeci">#define matrix_t</div><div class="ttdoc">Define the data type of the matrix elements.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8h_source.html#l00038">matrix.h:38</a></div></div>
+<div class="ttc" id="amagnetic__based__position_8h_html_a01bb024303e8eb202a19dbd70b291c06"><div class="ttname"><a href="magnetic__based__position_8h.html#a01bb024303e8eb202a19dbd70b291c06">magnetic_based_get_r</a></div><div class="ttdeci">matrix_t magnetic_based_get_r(matrix_t B, matrix_t theta, matrix_t k)</div><div class="ttdoc">Computes the distance between a mobile station and a reference stations of a magnet-based localizatio...</div><div class="ttdef"><b>Definition:</b> <a href="magnetic__based__position_8c_source.html#l00166">magnetic_based_position.c:166</a></div></div>
+<div class="ttc" id="amagnetic__based__position_8h_html_ad5a7513337486e277ea028480403569d"><div class="ttname"><a href="magnetic__based__position_8h.html#ad5a7513337486e277ea028480403569d">magnetic_based_get_absolute_error</a></div><div class="ttdeci">void magnetic_based_get_absolute_error(matrix_t value_arr[], matrix_t approx_value_arr[], matrix_t absolute_error_arr[], uint8_t length)</div><div class="ttdoc">Computes the absolute error of a position of magnet-based localization system.</div><div class="ttdef"><b>Definition:</b> <a href="magnetic__based__position_8c_source.html#l00034">magnetic_based_position.c:34</a></div></div>
+<div class="ttc" id="amagnetic__based__position_8h_html_a361f3f3c4f9516a1aa6107367ebfda8d"><div class="ttname"><a href="magnetic__based__position_8h.html#a361f3f3c4f9516a1aa6107367ebfda8d">magnetic_based_get_magnetic_field</a></div><div class="ttdeci">matrix_t magnetic_based_get_magnetic_field(matrix_t ref_point[3], matrix_t target_point[3], matrix_t k)</div><div class="ttdoc">Computes the magnetic field strength from a mobile station to a reference station.</div><div class="ttdef"><b>Definition:</b> <a href="magnetic__based__position_8c_source.html#l00062">magnetic_based_position.c:62</a></div></div>
+<!-- start footer part -->
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+<a href="#func-members">Functions</a> </div>
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+<div class="title">magnetic_based_test.c File Reference</div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Examples of localization algorithms of magnetic-based positioning systems.
+<a href="#details">More...</a></p>
+<div class="textblock"><code>#include <stdio.h></code><br />
+<code>#include "<a class="el" href="matrix_8h_source.html">matrix.h</a>"</code><br />
+<code>#include "<a class="el" href="vector_8h_source.html">vector.h</a>"</code><br />
+<code>#include "<a class="el" href="utils_8h_source.html">utils.h</a>"</code><br />
+<code>#include "<a class="el" href="trilateration_8h_source.html">trilateration.h</a>"</code><br />
+<code>#include "<a class="el" href="magnetic__based__position_8h_source.html">magnetic_based_position.h</a>"</code><br />
+</div>
+<p><a href="magnetic__based__test_8c_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a94f4b9ae7750825fc3d332e8f1903f75"><td class="memItemLeft" align="right" valign="top"><a id="a94f4b9ae7750825fc3d332e8f1903f75"></a>
+void </td><td class="memItemRight" valign="bottom"><a class="el" href="magnetic__based__test_8c.html#a94f4b9ae7750825fc3d332e8f1903f75">magnetic_based_test</a> (void)</td></tr>
+<tr class="memdesc:a94f4b9ae7750825fc3d332e8f1903f75"><td class="mdescLeft"> </td><td class="mdescRight">Example of a magnetic-based localization system. <br /></td></tr>
+<tr class="separator:a94f4b9ae7750825fc3d332e8f1903f75"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Examples of localization algorithms of magnetic-based positioning systems. </p>
+<p>Localization algorithms examples using artificially generated DC-pulsed, magnetic signals (see the <a class="el" href="magnetic__based__position_8h.html">methods of magnetic-based</a> localization systems).</p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd>
+<dd>
+Abdelmoumen Norrdine <a href="#" onclick="location.href='mai'+'lto:'+'a.n'+'or'+'rdi'+'ne'+'@go'+'og'+'lem'+'ai'+'l.c'+'om'; return false;">a.nor<span style="display: none;">.nosp@m.</span>rdin<span style="display: none;">.nosp@m.</span>e@goo<span style="display: none;">.nosp@m.</span>glem<span style="display: none;">.nosp@m.</span>ail.c<span style="display: none;">.nosp@m.</span>om</a> </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="magnetic__based__test_8c_source.html">magnetic_based_test.c</a>.</p>
+</div></div><!-- contents -->
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+ <li class="footer">Generated by
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diff --git a/doc/doxygen/html/magnetic__based__test_8c.js b/doc/doxygen/html/magnetic__based__test_8c.js
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+<div class="title">magnetic_based_test.c</div> </div>
+</div><!--header-->
+<div class="contents">
+<a href="magnetic__based__test_8c.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="preprocessor">#include <stdio.h></span></div>
+<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>  </div>
+<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="preprocessor">#include "<a class="code" href="matrix_8h.html">matrix.h</a>"</span></div>
+<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="preprocessor">#include "<a class="code" href="vector_8h.html">vector.h</a>"</span></div>
+<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="preprocessor">#include "<a class="code" href="utils_8h.html">utils.h</a>"</span></div>
+<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="preprocessor">#include "<a class="code" href="trilateration_8h.html">trilateration.h</a>"</span></div>
+<div class="line"><a name="l00032"></a><span class="lineno"> 32</span> <span class="preprocessor">#include "<a class="code" href="magnetic__based__position_8h.html">magnetic_based_position.h</a>"</span></div>
+<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>  </div>
+<div class="line"><a name="l00034"></a><span class="lineno"><a class="line" href="magnetic__based__test_8c.html#a94f4b9ae7750825fc3d332e8f1903f75"> 34</a></span> <span class="keywordtype">void</span> <a class="code" href="magnetic__based__test_8c.html#a94f4b9ae7750825fc3d332e8f1903f75">magnetic_based_test</a>(<span class="keywordtype">void</span>)</div>
+<div class="line"><a name="l00035"></a><span class="lineno"> 35</span> {</div>
+<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  puts(<span class="stringliteral">"***************** Magnetic-based system example *****************"</span>);</div>
+<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_pos_matrix[4][3] = {</div>
+<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  { 100.395, 16.781, 1.084 }, <span class="comment">//P1</span></div>
+<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>  { 100.937, 22.941, 1.072 }, <span class="comment">//P2</span></div>
+<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>  { 106.229, 22.716, 1.064 }, <span class="comment">//P3</span></div>
+<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  { 106.3, 16.8, 2.35 } <span class="comment">//P4</span></div>
+<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  };</div>
+<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  </div>
+<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> true_pos[3] = { 102, 18, 2.308 }; <span class="comment">// is usually unknown // Sensor8a3</span></div>
+<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  </div>
+<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  <span class="comment">/* magnetic field strengths to the reference stations */</span></div>
+<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> B_vec[4] = { 43.2630, 3.0620, 1.4890, 4.5361 };</div>
+<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  <span class="comment">/* Elevation angles to the reference stations */</span></div>
+<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> theta_vec[4] = { 31.3710, 12.4870, 11.7280, 0.5352 };</div>
+<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  uint8_t ref_point_num = 4;</div>
+<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> r0_vec[ref_point_num];</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="keywordflow">for</span> (uint8_t i = 0; i < ref_point_num; i++) {</div>
+<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  </div>
+<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  r0_vec[i] = <a class="code" href="magnetic__based__position_8h.html#a01bb024303e8eb202a19dbd70b291c06">magnetic_based_get_r</a>(B_vec[i],</div>
+<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  <a class="code" href="utils_8h.html#a689d2d3db40d341609423404abc5a23a">utils_to_radian</a>(theta_vec[i]), <a class="code" href="magnetic__based__position_8h.html#a3ee4ec231172a5fd866f72acead15bc4">K_T</a>);</div>
+<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  </div>
+<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  }</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>  <span class="comment">/* estimated position */</span></div>
+<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> est_pos[4];</div>
+<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  <a class="code" href="trilateration_8h.html#adf749802a4d86c2a97a6bac50d17bfea">trilateration2</a>(ref_point_num, ref_pos_matrix, r0_vec,</div>
+<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  est_pos, NULL);</div>
+<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  </div>
+<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  printf(<span class="stringliteral">"true position = "</span>);</div>
+<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  <a class="code" href="vector_8h.html#ab2827264910e858f238868695a92db4b">vector_flex_print</a>(3, true_pos, 5, 4);</div>
+<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  </div>
+<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  printf(<span class="stringliteral">"estimated position = "</span>);</div>
+<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  <a class="code" href="vector_8h.html#ab2827264910e858f238868695a92db4b">vector_flex_print</a>(3, &est_pos[1], 5, 7);</div>
+<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  </div>
+<div class="line"><a name="l00073"></a><span class="lineno"> 73</span> }</div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="avector_8h_html_ab2827264910e858f238868695a92db4b"><div class="ttname"><a href="vector_8h.html#ab2827264910e858f238868695a92db4b">vector_flex_print</a></div><div class="ttdeci">void vector_flex_print(uint32_t length, vector_t arr[], uint8_t before_dot, uint8_t after_dot)</div><div class="ttdoc">Display the values of the vector's elements.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00284">vector.c:284</a></div></div>
+<div class="ttc" id="atrilateration_8h_html"><div class="ttname"><a href="trilateration_8h.html">trilateration.h</a></div><div class="ttdoc">Implement the trilateration algorithm.</div></div>
+<div class="ttc" id="autils_8h_html_a689d2d3db40d341609423404abc5a23a"><div class="ttname"><a href="utils_8h.html#a689d2d3db40d341609423404abc5a23a">utils_to_radian</a></div><div class="ttdeci">double utils_to_radian(double deg_angle)</div><div class="ttdoc">Convert the angle from degrees to radians.</div><div class="ttdef"><b>Definition:</b> <a href="utils_8c_source.html#l00031">utils.c:31</a></div></div>
+<div class="ttc" id="amagnetic__based__position_8h_html"><div class="ttname"><a href="magnetic__based__position_8h.html">magnetic_based_position.h</a></div><div class="ttdoc">Functions of of DC-pulsed, magnetic localization system.</div></div>
+<div class="ttc" id="amatrix_8h_html"><div class="ttname"><a href="matrix_8h.html">matrix.h</a></div><div class="ttdoc">Matrix computations.</div></div>
+<div class="ttc" id="autils_8h_html"><div class="ttname"><a href="utils_8h.html">utils.h</a></div><div class="ttdoc">Utilities for linear algebra.</div></div>
+<div class="ttc" id="amagnetic__based__test_8c_html_a94f4b9ae7750825fc3d332e8f1903f75"><div class="ttname"><a href="magnetic__based__test_8c.html#a94f4b9ae7750825fc3d332e8f1903f75">magnetic_based_test</a></div><div class="ttdeci">void magnetic_based_test(void)</div><div class="ttdoc">Example of a magnetic-based localization system.</div><div class="ttdef"><b>Definition:</b> <a href="magnetic__based__test_8c_source.html#l00034">magnetic_based_test.c:34</a></div></div>
+<div class="ttc" id="atrilateration_8h_html_adf749802a4d86c2a97a6bac50d17bfea"><div class="ttname"><a href="trilateration_8h.html#adf749802a4d86c2a97a6bac50d17bfea">trilateration2</a></div><div class="ttdeci">void trilateration2(uint8_t anchor_num, matrix_t anchor_pos_matrix[anchor_num][3], matrix_t dist_arr[], matrix_t solution_x1[], matrix_t solution_x2[])</div><div class="ttdoc">Implement the trilateration algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="trilateration_8c_source.html#l00069">trilateration.c:69</a></div></div>
+<div class="ttc" id="amagnetic__based__position_8h_html_a3ee4ec231172a5fd866f72acead15bc4"><div class="ttname"><a href="magnetic__based__position_8h.html#a3ee4ec231172a5fd866f72acead15bc4">K_T</a></div><div class="ttdeci">#define K_T</div><div class="ttdoc">The number of turns of the wire.</div><div class="ttdef"><b>Definition:</b> <a href="magnetic__based__position_8h_source.html#l00075">magnetic_based_position.h:75</a></div></div>
+<div class="ttc" id="amatrix_8h_html_af38ac6b76d645fea9abd6caeb4d9dd31"><div class="ttname"><a href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a></div><div class="ttdeci">#define matrix_t</div><div class="ttdoc">Define the data type of the matrix elements.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8h_source.html#l00038">matrix.h:38</a></div></div>
+<div class="ttc" id="amagnetic__based__position_8h_html_a01bb024303e8eb202a19dbd70b291c06"><div class="ttname"><a href="magnetic__based__position_8h.html#a01bb024303e8eb202a19dbd70b291c06">magnetic_based_get_r</a></div><div class="ttdeci">matrix_t magnetic_based_get_r(matrix_t B, matrix_t theta, matrix_t k)</div><div class="ttdoc">Computes the distance between a mobile station and a reference stations of a magnet-based localizatio...</div><div class="ttdef"><b>Definition:</b> <a href="magnetic__based__position_8c_source.html#l00166">magnetic_based_position.c:166</a></div></div>
+<div class="ttc" id="avector_8h_html"><div class="ttname"><a href="vector_8h.html">vector.h</a></div><div class="ttdoc">Vector computations.</div></div>
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+<a href="#func-members">Functions</a> </div>
+ <div class="headertitle">
+<div class="title">magnetic_based_test.h File Reference<div class="ingroups"><a class="el" href="group__examples.html">EXAMPLES</a></div></div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Examples of localization algorithms of magnetic-based positioning systems.
+<a href="#details">More...</a></p>
+
+<p><a href="magnetic__based__test_8h_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a94f4b9ae7750825fc3d332e8f1903f75"><td class="memItemLeft" align="right" valign="top"><a id="a94f4b9ae7750825fc3d332e8f1903f75"></a>
+void </td><td class="memItemRight" valign="bottom"><a class="el" href="magnetic__based__test_8h.html#a94f4b9ae7750825fc3d332e8f1903f75">magnetic_based_test</a> (void)</td></tr>
+<tr class="memdesc:a94f4b9ae7750825fc3d332e8f1903f75"><td class="mdescLeft"> </td><td class="mdescRight">Example of a magnetic-based localization system. <br /></td></tr>
+<tr class="separator:a94f4b9ae7750825fc3d332e8f1903f75"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Examples of localization algorithms of magnetic-based positioning systems. </p>
+<p>Localization algorithms examples using artificially generated DC-pulsed, magnetic signals (see the <a class="el" href="magnetic__based__position_8h.html">methods of magnetic-based</a> localization systems).</p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd>
+<dd>
+Abdelmoumen Norrdine <a href="#" onclick="location.href='mai'+'lto:'+'a.n'+'or'+'rdi'+'ne'+'@go'+'og'+'lem'+'ai'+'l.c'+'om'; return false;">a.nor<span style="display: none;">.nosp@m.</span>rdin<span style="display: none;">.nosp@m.</span>e@goo<span style="display: none;">.nosp@m.</span>glem<span style="display: none;">.nosp@m.</span>ail.c<span style="display: none;">.nosp@m.</span>om</a> </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="magnetic__based__test_8h_source.html">magnetic_based_test.h</a>.</p>
+</div></div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
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+ <li class="navelem"><a class="el" href="dir_d28a4824dc47e487b107a5db32ef43c4.html">examples</a></li><li class="navelem"><a class="el" href="dir_801c9944761e72e374dff631ac46ee01.html">localization</a></li><li class="navelem"><a class="el" href="dir_fd0747fb67b11559bfa7954b6401be5e.html">position_algos</a></li><li class="navelem"><a class="el" href="dir_20def5fb23a030baaea06d7c00c73368.html">magnetic_based</a></li><li class="navelem"><a class="el" href="dir_03da925459af38da0de945660244ea8b.html">include</a></li><li class="navelem"><a class="el" href="magnetic__based__test_8h.html">magnetic_based_test.h</a></li>
+ <li class="footer">Generated by
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diff --git a/doc/doxygen/html/magnetic__based__test_8h.js b/doc/doxygen/html/magnetic__based__test_8h.js
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+ <div id="projectname">RcdMathLib_doc
+ </div>
+ <div id="projectbrief">Open Source Library for Linear and Non-linear Algebra</div>
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+ onmouseover="return searchBox.OnSearchSelectShow()"
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+<div class="title">magnetic_based_test.h</div> </div>
+</div><!--header-->
+<div class="contents">
+<a href="magnetic__based__test_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="preprocessor">#ifndef MAGNETIC_BASED_TEST_H_</span></div>
+<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="preprocessor">#define MAGNETIC_BASED_TEST_H_</span></div>
+<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>  </div>
+<div class="line"><a name="l00034"></a><span class="lineno"> 34</span> <span class="keywordtype">void</span> <a class="code" href="magnetic__based__test_8h.html#a94f4b9ae7750825fc3d332e8f1903f75">magnetic_based_test</a>(<span class="keywordtype">void</span>);</div>
+<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  </div>
+<div class="line"><a name="l00036"></a><span class="lineno"> 36</span> <span class="preprocessor">#endif </span><span class="comment">/* MAGNETIC_BASED_TEST_H_ */</span><span class="preprocessor"></span></div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="amagnetic__based__test_8h_html_a94f4b9ae7750825fc3d332e8f1903f75"><div class="ttname"><a href="magnetic__based__test_8h.html#a94f4b9ae7750825fc3d332e8f1903f75">magnetic_based_test</a></div><div class="ttdeci">void magnetic_based_test(void)</div><div class="ttdoc">Example of a magnetic-based localization system.</div><div class="ttdef"><b>Definition:</b> <a href="magnetic__based__test_8c_source.html#l00034">magnetic_based_test.c:34</a></div></div>
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
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+ <li class="navelem"><a class="el" href="dir_d28a4824dc47e487b107a5db32ef43c4.html">examples</a></li><li class="navelem"><a class="el" href="dir_801c9944761e72e374dff631ac46ee01.html">localization</a></li><li class="navelem"><a class="el" href="dir_fd0747fb67b11559bfa7954b6401be5e.html">position_algos</a></li><li class="navelem"><a class="el" href="dir_20def5fb23a030baaea06d7c00c73368.html">magnetic_based</a></li><li class="navelem"><a class="el" href="dir_03da925459af38da0de945660244ea8b.html">include</a></li><li class="navelem"><a class="el" href="magnetic__based__test_8h.html">magnetic_based_test.h</a></li>
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+<div class="header">
+ <div class="summary">
+<a href="#func-members">Functions</a> </div>
+ <div class="headertitle">
+<div class="title">matrix.c File Reference</div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Matrix computations.
+<a href="#details">More...</a></p>
+<div class="textblock"><code>#include <stdint.h></code><br />
+<code>#include <string.h></code><br />
+<code>#include <stdio.h></code><br />
+<code>#include <math.h></code><br />
+<code>#include <stdbool.h></code><br />
+<code>#include <float.h></code><br />
+<code>#include "<a class="el" href="matrix_8h_source.html">matrix.h</a>"</code><br />
+<code>#include "<a class="el" href="utils_8h_source.html">utils.h</a>"</code><br />
+<code>#include "<a class="el" href="svd_8h_source.html">svd.h</a>"</code><br />
+</div>
+<p><a href="matrix_8c_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a0e06b2cfb86340e88be7b1219bef0ce3"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8c.html#a0e06b2cfb86340e88be7b1219bef0ce3">matrix_clear</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[m][n])</td></tr>
+<tr class="memdesc:a0e06b2cfb86340e88be7b1219bef0ce3"><td class="mdescLeft"> </td><td class="mdescRight">Clear all the elements of the vector. <a href="matrix_8c.html#a0e06b2cfb86340e88be7b1219bef0ce3">More...</a><br /></td></tr>
+<tr class="separator:a0e06b2cfb86340e88be7b1219bef0ce3"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:acfd2bbc4a90915e57a4555694e842312"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8c.html#acfd2bbc4a90915e57a4555694e842312">matrix_init</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[m][n], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> value)</td></tr>
+<tr class="memdesc:acfd2bbc4a90915e57a4555694e842312"><td class="mdescLeft"> </td><td class="mdescRight">Initialize all the elements of the matrix with a specified value. <a href="matrix_8c.html#acfd2bbc4a90915e57a4555694e842312">More...</a><br /></td></tr>
+<tr class="separator:acfd2bbc4a90915e57a4555694e842312"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:ad7c9a682a3cc4ca33c030afa8798241a"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8c.html#ad7c9a682a3cc4ca33c030afa8798241a">matrix_transpose</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> src_matrix[m][n], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> dest_matrix[n][m])</td></tr>
+<tr class="memdesc:ad7c9a682a3cc4ca33c030afa8798241a"><td class="mdescLeft"> </td><td class="mdescRight">Computes the transpose of a matrix. <a href="matrix_8c.html#ad7c9a682a3cc4ca33c030afa8798241a">More...</a><br /></td></tr>
+<tr class="separator:ad7c9a682a3cc4ca33c030afa8798241a"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a48b36217faeda15438f4e07c54d0ef9e"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8c.html#a48b36217faeda15438f4e07c54d0ef9e">matrix_in_place_transpose</a> (uint8_t m, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[][m])</td></tr>
+<tr class="memdesc:a48b36217faeda15438f4e07c54d0ef9e"><td class="mdescLeft"> </td><td class="mdescRight">Computes the in-place transpose of a matrix. <a href="matrix_8c.html#a48b36217faeda15438f4e07c54d0ef9e">More...</a><br /></td></tr>
+<tr class="separator:a48b36217faeda15438f4e07c54d0ef9e"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:ae8d8daa117e9f96a5e29fe6c76c4998c"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8c.html#ae8d8daa117e9f96a5e29fe6c76c4998c">matrix_copy</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> src_matrix[m][n], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> dest_matrix[m][n])</td></tr>
+<tr class="memdesc:ae8d8daa117e9f96a5e29fe6c76c4998c"><td class="mdescLeft"> </td><td class="mdescRight">Copy the elements of a matrix to another matrix. <a href="matrix_8c.html#ae8d8daa117e9f96a5e29fe6c76c4998c">More...</a><br /></td></tr>
+<tr class="separator:ae8d8daa117e9f96a5e29fe6c76c4998c"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a56513a88eff05b0683320c532fadf945"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8c.html#a56513a88eff05b0683320c532fadf945">matrix_part_copy</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> src_matrix[m][n], uint8_t start_row_ind, uint8_t end_row_ind, uint8_t start_col_ind, uint8_t end_col_ind, uint8_t dest_row_num, uint8_t dest_col_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> dest_matrix[][dest_col_num])</td></tr>
+<tr class="memdesc:a56513a88eff05b0683320c532fadf945"><td class="mdescLeft"> </td><td class="mdescRight">Copy a part of a matrix to another matrix or sub-matrix. <a href="matrix_8c.html#a56513a88eff05b0683320c532fadf945">More...</a><br /></td></tr>
+<tr class="separator:a56513a88eff05b0683320c532fadf945"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a32ab12965ec43c2acf65cf9dd510353a"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8c.html#a32ab12965ec43c2acf65cf9dd510353a">matrix_print</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[m][n])</td></tr>
+<tr class="memdesc:a32ab12965ec43c2acf65cf9dd510353a"><td class="mdescLeft"> </td><td class="mdescRight">Display the values of the matrix elements. <a href="matrix_8c.html#a32ab12965ec43c2acf65cf9dd510353a">More...</a><br /></td></tr>
+<tr class="separator:a32ab12965ec43c2acf65cf9dd510353a"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a72073ccd483f9cc438425d3d8ffd3029"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8c.html#a72073ccd483f9cc438425d3d8ffd3029">matrix_part_print</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[m][n], uint8_t start_row_ind, uint8_t end_row_ind, uint8_t start_col_ind, uint8_t end_col_ind)</td></tr>
+<tr class="memdesc:a72073ccd483f9cc438425d3d8ffd3029"><td class="mdescLeft"> </td><td class="mdescRight">Display the values of the sub-matrix elements. <a href="matrix_8c.html#a72073ccd483f9cc438425d3d8ffd3029">More...</a><br /></td></tr>
+<tr class="separator:a72073ccd483f9cc438425d3d8ffd3029"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:ad386233d68c73656a03641ddf3ecaaf2"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8c.html#ad386233d68c73656a03641ddf3ecaaf2">matrix_flex_print</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[m][n], uint8_t before_dot, uint8_t after_dot)</td></tr>
+<tr class="memdesc:ad386233d68c73656a03641ddf3ecaaf2"><td class="mdescLeft"> </td><td class="mdescRight">Display the values of the matrix elements. <a href="matrix_8c.html#ad386233d68c73656a03641ddf3ecaaf2">More...</a><br /></td></tr>
+<tr class="separator:ad386233d68c73656a03641ddf3ecaaf2"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a72297a60e572f85929989e813388a9c5"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8c.html#a72297a60e572f85929989e813388a9c5">matrix_flex_part_print</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[m][n], uint8_t start_row_ind, uint8_t end_row_ind, uint8_t start_col_ind, uint8_t end_col_ind, uint8_t before_dot, uint8_t after_dot)</td></tr>
+<tr class="memdesc:a72297a60e572f85929989e813388a9c5"><td class="mdescLeft"> </td><td class="mdescRight">Display the values of the sub-matrix elements. <a href="matrix_8c.html#a72297a60e572f85929989e813388a9c5">More...</a><br /></td></tr>
+<tr class="separator:a72297a60e572f85929989e813388a9c5"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a53879e7c4cfbc96725aef9f8234be7dd"><td class="memItemLeft" align="right" valign="top">uint8_t </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8c.html#a53879e7c4cfbc96725aef9f8234be7dd">matrix_get_rank</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> singl_values_arr[], uint8_t length)</td></tr>
+<tr class="memdesc:a53879e7c4cfbc96725aef9f8234be7dd"><td class="mdescLeft"> </td><td class="mdescRight">Compute the rank of a matrix. <a href="matrix_8c.html#a53879e7c4cfbc96725aef9f8234be7dd">More...</a><br /></td></tr>
+<tr class="separator:a53879e7c4cfbc96725aef9f8234be7dd"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:aed6fab1ffa40243eeb08117215082be3"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8c.html#aed6fab1ffa40243eeb08117215082be3">matrix_sub</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[m][n], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> B[m][n], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A_minus_B[m][n])</td></tr>
+<tr class="memdesc:aed6fab1ffa40243eeb08117215082be3"><td class="mdescLeft"> </td><td class="mdescRight">Compute the subtraction of two matrices. <a href="matrix_8c.html#aed6fab1ffa40243eeb08117215082be3">More...</a><br /></td></tr>
+<tr class="separator:aed6fab1ffa40243eeb08117215082be3"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:ac7101bbaa3a2698658276a7e21501093"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8c.html#ac7101bbaa3a2698658276a7e21501093">matrix_add</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[m][n], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> B[m][n], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A_plus_B[m][n])</td></tr>
+<tr class="memdesc:ac7101bbaa3a2698658276a7e21501093"><td class="mdescLeft"> </td><td class="mdescRight">Compute the addition of two matrices. <a href="matrix_8c.html#ac7101bbaa3a2698658276a7e21501093">More...</a><br /></td></tr>
+<tr class="separator:ac7101bbaa3a2698658276a7e21501093"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:aa8acafd4181978f536976f8151e51516"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8c.html#aa8acafd4181978f536976f8151e51516">matrix_add_to_diag</a> (uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[][n], uint8_t diag_el_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> value)</td></tr>
+<tr class="memdesc:aa8acafd4181978f536976f8151e51516"><td class="mdescLeft"> </td><td class="mdescRight">Add a number to diagonal elements of a matrix. <a href="matrix_8c.html#aa8acafd4181978f536976f8151e51516">More...</a><br /></td></tr>
+<tr class="separator:aa8acafd4181978f536976f8151e51516"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a550aa0d5a3212e35ad0af134895fd20a"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8c.html#a550aa0d5a3212e35ad0af134895fd20a">matrix_mul</a> (uint8_t a_line_num, uint8_t a_col_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> a_matrix[a_line_num][a_col_num], uint8_t b_line_num, uint8_t b_col_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> b_matrix[b_line_num][b_col_num], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> dest_matrix[a_line_num][b_col_num])</td></tr>
+<tr class="memdesc:a550aa0d5a3212e35ad0af134895fd20a"><td class="mdescLeft"> </td><td class="mdescRight">Compute the multiplication of two matrices. <a href="matrix_8c.html#a550aa0d5a3212e35ad0af134895fd20a">More...</a><br /></td></tr>
+<tr class="separator:a550aa0d5a3212e35ad0af134895fd20a"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a3763252ca00e4c8522ae1bfd5ef40f0a"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8c.html#a3763252ca00e4c8522ae1bfd5ef40f0a">matrix_part_mul</a> (uint8_t a_col_num_max, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> a_matrix[][a_col_num_max], uint8_t b_col_num_max, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> b_matrix[][b_col_num_max], uint8_t a_start_row_ind, uint8_t a_end_row_ind, uint8_t a_start_col_ind, uint8_t a_end_col_ind, uint8_t b_start_row_ind, uint8_t b_end_row_ind, uint8_t b_start_col_ind, uint8_t b_end_col_ind, uint8_t dest_col_size, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> dest_matrix[][dest_col_size])</td></tr>
+<tr class="memdesc:a3763252ca00e4c8522ae1bfd5ef40f0a"><td class="mdescLeft"> </td><td class="mdescRight">Compute the partial multiplication of two matrices. <a href="matrix_8c.html#a3763252ca00e4c8522ae1bfd5ef40f0a">More...</a><br /></td></tr>
+<tr class="separator:a3763252ca00e4c8522ae1bfd5ef40f0a"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:ad610bcce232c69ca302550f57b1ad9fb"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8c.html#ad610bcce232c69ca302550f57b1ad9fb">matrix_mul_vec</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[m][n], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> vec[n], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> dst_arr[m])</td></tr>
+<tr class="memdesc:ad610bcce232c69ca302550f57b1ad9fb"><td class="mdescLeft"> </td><td class="mdescRight">Compute the multiplication of a matrix with a column vector. <a href="matrix_8c.html#ad610bcce232c69ca302550f57b1ad9fb">More...</a><br /></td></tr>
+<tr class="separator:ad610bcce232c69ca302550f57b1ad9fb"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a3cf18a2c5c6ad62a4e0a0c00d27e2887"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8c.html#a3cf18a2c5c6ad62a4e0a0c00d27e2887">matrix_vec_mul_matr</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> vec[m], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[m][n], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> dst_arr[n])</td></tr>
+<tr class="memdesc:a3cf18a2c5c6ad62a4e0a0c00d27e2887"><td class="mdescLeft"> </td><td class="mdescRight">Compute the multiplication of row vector and a matrix. <a href="matrix_8c.html#a3cf18a2c5c6ad62a4e0a0c00d27e2887">More...</a><br /></td></tr>
+<tr class="separator:a3cf18a2c5c6ad62a4e0a0c00d27e2887"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:ac735d13efe5b76ecf60ac13ec79da8e3"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8c.html#ac735d13efe5b76ecf60ac13ec79da8e3">matrix_mul_scalar_vec_matr</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> scalar, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> vec[m], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[m][n], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> dst_arr[n])</td></tr>
+<tr class="memdesc:ac735d13efe5b76ecf60ac13ec79da8e3"><td class="mdescLeft"> </td><td class="mdescRight">Compute the multiplication of a scalar with row vector and a matrix. <a href="matrix_8c.html#ac735d13efe5b76ecf60ac13ec79da8e3">More...</a><br /></td></tr>
+<tr class="separator:ac735d13efe5b76ecf60ac13ec79da8e3"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a06f75ae4924e3f0dfd0b6a25313dc731"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8c.html#a06f75ae4924e3f0dfd0b6a25313dc731">matrix_part_mul_scalar_vec_matr</a> (uint8_t max_m, uint8_t max_n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> scalar, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> vec[max_m], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[max_m][max_n], uint8_t begin_row, uint8_t begin_column, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> dst_arr[max_n - begin_row])</td></tr>
+<tr class="memdesc:a06f75ae4924e3f0dfd0b6a25313dc731"><td class="mdescLeft"> </td><td class="mdescRight">Compute the multiplication of a scalar with row vector and a sub-matrix. <a href="matrix_8c.html#a06f75ae4924e3f0dfd0b6a25313dc731">More...</a><br /></td></tr>
+<tr class="separator:a06f75ae4924e3f0dfd0b6a25313dc731"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a53b0a1829b2085414fb66a9e9bd6c7b7"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8c.html#a53b0a1829b2085414fb66a9e9bd6c7b7">matrix_trans_mul_vec</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[m][n], uint8_t b_size, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> b_vec[m], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> c_vec[n])</td></tr>
+<tr class="memdesc:a53b0a1829b2085414fb66a9e9bd6c7b7"><td class="mdescLeft"> </td><td class="mdescRight">Compute the multiplication of transposed matrix with column vector. <a href="matrix_8c.html#a53b0a1829b2085414fb66a9e9bd6c7b7">More...</a><br /></td></tr>
+<tr class="separator:a53b0a1829b2085414fb66a9e9bd6c7b7"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:acfd7c6f021f4fbcd393fe849c82f34de"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8c.html#acfd7c6f021f4fbcd393fe849c82f34de">matrix_mul_col_vec_row_vec</a> (uint8_t m, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> col_vec[m], uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> row_vec[n], uint8_t max_n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> res_mat[][max_n])</td></tr>
+<tr class="memdesc:acfd7c6f021f4fbcd393fe849c82f34de"><td class="mdescLeft"> </td><td class="mdescRight">Compute the multiplication of a column and row vector. <a href="matrix_8c.html#acfd7c6f021f4fbcd393fe849c82f34de">More...</a><br /></td></tr>
+<tr class="separator:acfd7c6f021f4fbcd393fe849c82f34de"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a0107887a6c40980fa639750be8262f01"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8c.html#a0107887a6c40980fa639750be8262f01">matrix_trans_mul_itself</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[m][n], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> AT_mul_A[n][n])</td></tr>
+<tr class="memdesc:a0107887a6c40980fa639750be8262f01"><td class="mdescLeft"> </td><td class="mdescRight">Compute the multiplication of the transpose of a matrix with itself. <a href="matrix_8c.html#a0107887a6c40980fa639750be8262f01">More...</a><br /></td></tr>
+<tr class="separator:a0107887a6c40980fa639750be8262f01"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a49aa70a7d6ad76388ea08acfe43b7374"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8c.html#a49aa70a7d6ad76388ea08acfe43b7374">matrix_set_diag_elements</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> value, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> diag_matrix[m][n])</td></tr>
+<tr class="memdesc:a49aa70a7d6ad76388ea08acfe43b7374"><td class="mdescLeft"> </td><td class="mdescRight">Set all the diagonal elements of a matrix with a specified value. <a href="matrix_8c.html#a49aa70a7d6ad76388ea08acfe43b7374">More...</a><br /></td></tr>
+<tr class="separator:a49aa70a7d6ad76388ea08acfe43b7374"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:ae808f007791f060590d39c7668501988"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8c.html#ae808f007791f060590d39c7668501988">matrix_get_diag_mat_new</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> diag_matrix[m][n], uint8_t length, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> vec[])</td></tr>
+<tr class="memdesc:ae808f007791f060590d39c7668501988"><td class="mdescLeft"> </td><td class="mdescRight">Set all the diagonal elements of a matrix with values that are saved in a vector. <a href="matrix_8c.html#ae808f007791f060590d39c7668501988">More...</a><br /></td></tr>
+<tr class="separator:ae808f007791f060590d39c7668501988"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a18e47742f1653dcc4491badfe2537a0a"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8c.html#a18e47742f1653dcc4491badfe2537a0a">matrix_get_diag_mat</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> value, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> diag_matrix[m][n])</td></tr>
+<tr class="memdesc:a18e47742f1653dcc4491badfe2537a0a"><td class="mdescLeft"> </td><td class="mdescRight">Create a diagonal matrix with a specified value. <a href="matrix_8c.html#a18e47742f1653dcc4491badfe2537a0a">More...</a><br /></td></tr>
+<tr class="separator:a18e47742f1653dcc4491badfe2537a0a"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a51139e6c87b602e5e0ebfbc406fda35d"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8c.html#a51139e6c87b602e5e0ebfbc406fda35d">matrix_mul_scalar</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> mat_src[m][n], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> value, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> mat_dest[m][n])</td></tr>
+<tr class="memdesc:a51139e6c87b602e5e0ebfbc406fda35d"><td class="mdescLeft"> </td><td class="mdescRight">Multiply all elements of a matrix with a specified value. <a href="matrix_8c.html#a51139e6c87b602e5e0ebfbc406fda35d">More...</a><br /></td></tr>
+<tr class="separator:a51139e6c87b602e5e0ebfbc406fda35d"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a3ae0b9f73f82716f3427a523a3412864"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8c.html#a3ae0b9f73f82716f3427a523a3412864">matrix_get_column_vec</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[m][n], uint8_t col_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> col_vec[m])</td></tr>
+<tr class="memdesc:a3ae0b9f73f82716f3427a523a3412864"><td class="mdescLeft"> </td><td class="mdescRight">Get a column of a matrix. <a href="matrix_8c.html#a3ae0b9f73f82716f3427a523a3412864">More...</a><br /></td></tr>
+<tr class="separator:a3ae0b9f73f82716f3427a523a3412864"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:ac20399f6a8de13b1f392a1e3f7c0fbf4"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8c.html#ac20399f6a8de13b1f392a1e3f7c0fbf4">matrix_get_part_column_vec</a> (uint8_t max_m, uint8_t max_n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[max_m][max_n], uint8_t col_num, uint8_t offset, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> col_vec[max_m - offset])</td></tr>
+<tr class="memdesc:ac20399f6a8de13b1f392a1e3f7c0fbf4"><td class="mdescLeft"> </td><td class="mdescRight">Get a part of a column of a matrix. <a href="matrix_8c.html#ac20399f6a8de13b1f392a1e3f7c0fbf4">More...</a><br /></td></tr>
+<tr class="separator:ac20399f6a8de13b1f392a1e3f7c0fbf4"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:aef8d1508ad101227ab255a714ab22b94"><td class="memItemLeft" align="right" valign="top"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8c.html#aef8d1508ad101227ab255a714ab22b94">matrix_get_max_elem_in_column</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[m][n], uint8_t col_num)</td></tr>
+<tr class="memdesc:aef8d1508ad101227ab255a714ab22b94"><td class="mdescLeft"> </td><td class="mdescRight">Get the largest element of a column vector in a matrix. <a href="matrix_8c.html#aef8d1508ad101227ab255a714ab22b94">More...</a><br /></td></tr>
+<tr class="separator:aef8d1508ad101227ab255a714ab22b94"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a0a3d3cfa20ad3e75ad783af457343672"><td class="memItemLeft" align="right" valign="top"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8c.html#a0a3d3cfa20ad3e75ad783af457343672">matrix_get_abs_max_elem_in_column</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[m][n], uint8_t col_num)</td></tr>
+<tr class="memdesc:a0a3d3cfa20ad3e75ad783af457343672"><td class="mdescLeft"> </td><td class="mdescRight">Get the maximum absolute value of a column vector in a matrix. <a href="matrix_8c.html#a0a3d3cfa20ad3e75ad783af457343672">More...</a><br /></td></tr>
+<tr class="separator:a0a3d3cfa20ad3e75ad783af457343672"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:ad2cecc467ac6480ef0f3423f962b39bc"><td class="memItemLeft" align="right" valign="top"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8c.html#ad2cecc467ac6480ef0f3423f962b39bc">matrix_get_max_elem_in_part_column</a> (uint8_t max_m, uint8_t max_n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[max_m][max_n], uint8_t row_num, uint8_t col_num)</td></tr>
+<tr class="memdesc:ad2cecc467ac6480ef0f3423f962b39bc"><td class="mdescLeft"> </td><td class="mdescRight">Get the largest element of a column vector in a sub-matrix. <a href="matrix_8c.html#ad2cecc467ac6480ef0f3423f962b39bc">More...</a><br /></td></tr>
+<tr class="separator:ad2cecc467ac6480ef0f3423f962b39bc"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a8d77cfae4f1da83acac929c1ce13d252"><td class="memItemLeft" align="right" valign="top"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8c.html#a8d77cfae4f1da83acac929c1ce13d252">matrix_get_abs_max_elem_in_part_column</a> (uint8_t max_m, uint8_t max_n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[max_m][max_n], uint8_t row_num, uint8_t col_num)</td></tr>
+<tr class="memdesc:a8d77cfae4f1da83acac929c1ce13d252"><td class="mdescLeft"> </td><td class="mdescRight">Get the maximum absolute value of a column vector in a sub-matrix. <a href="matrix_8c.html#a8d77cfae4f1da83acac929c1ce13d252">More...</a><br /></td></tr>
+<tr class="separator:a8d77cfae4f1da83acac929c1ce13d252"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a5f6a1948ec005cff4985559821c4943f"><td class="memItemLeft" align="right" valign="top"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8c.html#a5f6a1948ec005cff4985559821c4943f">matrix_get_abs_max_elem_and_index_in_part_column</a> (uint8_t max_m, uint8_t max_n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[max_m][max_n], uint8_t row_num, uint8_t col_num, uint8_t *index)</td></tr>
+<tr class="memdesc:a5f6a1948ec005cff4985559821c4943f"><td class="mdescLeft"> </td><td class="mdescRight">Get the maximum absolute value and its position in a column vector in a sub-matrix. <a href="matrix_8c.html#a5f6a1948ec005cff4985559821c4943f">More...</a><br /></td></tr>
+<tr class="separator:a5f6a1948ec005cff4985559821c4943f"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a875d6c55a16ee9f8bf523b8c1c82bc6f"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8c.html#a875d6c55a16ee9f8bf523b8c1c82bc6f">matrix_swap_rows</a> (uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[][n], uint8_t i, uint8_t j)</td></tr>
+<tr class="memdesc:a875d6c55a16ee9f8bf523b8c1c82bc6f"><td class="mdescLeft"> </td><td class="mdescRight">Swaps two rows of a matrix. <a href="matrix_8c.html#a875d6c55a16ee9f8bf523b8c1c82bc6f">More...</a><br /></td></tr>
+<tr class="separator:a875d6c55a16ee9f8bf523b8c1c82bc6f"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a3570c016691507c003dd7a54cb37e7e2"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8c.html#a3570c016691507c003dd7a54cb37e7e2">matrix_part_swap_rows</a> (uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[][n], uint8_t i, uint8_t j, uint8_t col_begin, uint8_t col_end)</td></tr>
+<tr class="memdesc:a3570c016691507c003dd7a54cb37e7e2"><td class="mdescLeft"> </td><td class="mdescRight">Swaps two rows of a sub-matrix. <a href="matrix_8c.html#a3570c016691507c003dd7a54cb37e7e2">More...</a><br /></td></tr>
+<tr class="separator:a3570c016691507c003dd7a54cb37e7e2"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:aec03481d950677386122e3c8ba6a5cd0"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8c.html#aec03481d950677386122e3c8ba6a5cd0">matrix_get_two_norm</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[][n])</td></tr>
+<tr class="memdesc:aec03481d950677386122e3c8ba6a5cd0"><td class="mdescLeft"> </td><td class="mdescRight">Get the 2-norm of a matrix that is equal to the largest singular value. <a href="matrix_8c.html#aec03481d950677386122e3c8ba6a5cd0">More...</a><br /></td></tr>
+<tr class="separator:aec03481d950677386122e3c8ba6a5cd0"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:aaf85a32b8562c91d2d1889819580375e"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8c.html#aaf85a32b8562c91d2d1889819580375e">matrix_get_frob_norm</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[][n])</td></tr>
+<tr class="memdesc:aaf85a32b8562c91d2d1889819580375e"><td class="mdescLeft"> </td><td class="mdescRight">Get the Frobenius norm of a matrix. <a href="matrix_8c.html#aaf85a32b8562c91d2d1889819580375e">More...</a><br /></td></tr>
+<tr class="separator:aaf85a32b8562c91d2d1889819580375e"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:ab166871472924745f70e2bb6e17498c8"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8c.html#ab166871472924745f70e2bb6e17498c8">matrix_get_inv_upp_triang</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> U[][n], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> inv_U[][m])</td></tr>
+<tr class="memdesc:ab166871472924745f70e2bb6e17498c8"><td class="mdescLeft"> </td><td class="mdescRight">Computes the inverse an upper triangular matrix. <a href="matrix_8c.html#ab166871472924745f70e2bb6e17498c8">More...</a><br /></td></tr>
+<tr class="separator:ab166871472924745f70e2bb6e17498c8"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:ae8e87640fa1a2d259ee4dc98c955cb48"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8c.html#ae8e87640fa1a2d259ee4dc98c955cb48">matrix_get_inv_low_triang</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> L[][n], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> inv_L[][m])</td></tr>
+<tr class="memdesc:ae8e87640fa1a2d259ee4dc98c955cb48"><td class="mdescLeft"> </td><td class="mdescRight">Computes the inverse a lower triangular matrix. <a href="matrix_8c.html#ae8e87640fa1a2d259ee4dc98c955cb48">More...</a><br /></td></tr>
+<tr class="separator:ae8e87640fa1a2d259ee4dc98c955cb48"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:abbaf8f39b2b7bb4bd2987f99674c1213"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8c.html#abbaf8f39b2b7bb4bd2987f99674c1213">matrix_get_upp_triang</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[][n], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> tr_up_A[][n])</td></tr>
+<tr class="memdesc:abbaf8f39b2b7bb4bd2987f99674c1213"><td class="mdescLeft"> </td><td class="mdescRight">Gets the upper triangular part of a matrix. <a href="matrix_8c.html#abbaf8f39b2b7bb4bd2987f99674c1213">More...</a><br /></td></tr>
+<tr class="separator:abbaf8f39b2b7bb4bd2987f99674c1213"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:adfd93dda9be9b2e8df5805af7fee7845"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8c.html#adfd93dda9be9b2e8df5805af7fee7845">matrix_get_low_triang</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[][n], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> tr_low_A[][n])</td></tr>
+<tr class="memdesc:adfd93dda9be9b2e8df5805af7fee7845"><td class="mdescLeft"> </td><td class="mdescRight">Gets the lower triangular part of a matrix. <a href="matrix_8c.html#adfd93dda9be9b2e8df5805af7fee7845">More...</a><br /></td></tr>
+<tr class="separator:adfd93dda9be9b2e8df5805af7fee7845"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a722a0230185fd66f0cecbeae7d50ce1a"><td class="memItemLeft" align="right" valign="top"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8c.html#a722a0230185fd66f0cecbeae7d50ce1a">matrix_read</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[m][n], uint8_t i, uint8_t j)</td></tr>
+<tr class="memdesc:a722a0230185fd66f0cecbeae7d50ce1a"><td class="mdescLeft"> </td><td class="mdescRight">Get the value of a matrix at the position (i,j). <a href="matrix_8c.html#a722a0230185fd66f0cecbeae7d50ce1a">More...</a><br /></td></tr>
+<tr class="separator:a722a0230185fd66f0cecbeae7d50ce1a"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a90b6eafa665d34d7330581c32564d632"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8c.html#a90b6eafa665d34d7330581c32564d632">matrix_write</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[m][n], uint8_t i, uint8_t j, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> val)</td></tr>
+<tr class="memdesc:a90b6eafa665d34d7330581c32564d632"><td class="mdescLeft"> </td><td class="mdescRight">Write a value in a matrix at the position (i,j). <a href="matrix_8c.html#a90b6eafa665d34d7330581c32564d632">More...</a><br /></td></tr>
+<tr class="separator:a90b6eafa665d34d7330581c32564d632"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Matrix computations. </p>
+<p>Matrix computations include operations such as addition, subtraction, and transposition.</p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="matrix_8c_source.html">matrix.c</a>.</p>
+</div><h2 class="groupheader">Function Documentation</h2>
+<a id="ac7101bbaa3a2698658276a7e21501093"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#ac7101bbaa3a2698658276a7e21501093">◆ </a></span>matrix_add()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void matrix_add </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>A</em>[m][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>B</em>[m][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>A_plus_B</em>[m][n] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute the addition of two matrices. </p>
+<p>Add matrix B to matrix A and return the result in A_plus_B matrix.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the matrix to add. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix to add. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">A[][]</td><td>pointer to the first matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">B[][]</td><td>pointer to the second matrix. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">A_plus_B[][]</td><td>pointer to the destination matrix. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8c_source.html#l00341">341</a> of file <a class="el" href="matrix_8c_source.html">matrix.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="matrix__test_8c_source.html#l00031">matrix_test()</a>.</p>
+
+</div>
+</div>
+<a id="aa8acafd4181978f536976f8151e51516"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#aa8acafd4181978f536976f8151e51516">◆ </a></span>matrix_add_to_diag()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void matrix_add_to_diag </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>A</em>[][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>diag_el_num</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>value</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Add a number to diagonal elements of a matrix. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">A[][]</td><td>pointer to the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">diag_el_num</td><td>number of diagonal elements to overwrite. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">value</td><td>the value to add to the diagonal elements. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8c_source.html#l00353">353</a> of file <a class="el" href="matrix_8c_source.html">matrix.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="levenberg__marquardt_8c_source.html#l00143">opt_levenberg_marquardt()</a>, and <a class="el" href="levenberg__marquardt_8c_source.html#l00053">opt_levenberg_marquardt_correction()</a>.</p>
+
+</div>
+</div>
+<a id="a0e06b2cfb86340e88be7b1219bef0ce3"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a0e06b2cfb86340e88be7b1219bef0ce3">◆ </a></span>matrix_clear()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void matrix_clear </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>matrix</em>[m][n] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Clear all the elements of the vector. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">matrix[][]</td><td>pointer to the matrix. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8c_source.html#l00046">46</a> of file <a class="el" href="matrix_8c_source.html">matrix.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="dist__based__jacobian_8c_source.html#l00056">dist_based_jacobian_get_JTJ()</a>, <a class="el" href="householder__test_8c_source.html#l00031">householder_test()</a>, <a class="el" href="matrix_8c_source.html#l00594">matrix_get_diag_mat()</a>, <a class="el" href="matrix_8c_source.html#l00581">matrix_get_diag_mat_new()</a>, <a class="el" href="matrix_8c_source.html#l00817">matrix_get_inv_low_triang()</a>, <a class="el" href="matrix_8c_source.html#l00795">matrix_get_inv_upp_triang()</a>, and <a class="el" href="qr__givens_8c_source.html#l00033">qr_givens_decomp()</a>.</p>
+
+</div>
+</div>
+<a id="ae8d8daa117e9f96a5e29fe6c76c4998c"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#ae8d8daa117e9f96a5e29fe6c76c4998c">◆ </a></span>matrix_copy()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void matrix_copy </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>src_matrix</em>[m][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>dest_matrix</em>[m][n] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Copy the elements of a matrix to another matrix. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the matrix to copy. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix to copy. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">src_matrix[][]</td><td>pointer to the source matrix </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">dest_matrix[][]</td><td>pointer to the destination matrix. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8c_source.html#l00083">83</a> of file <a class="el" href="matrix_8c_source.html">matrix.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="givens__test_8c_source.html#l00028">givens_test()</a>, <a class="el" href="householder__test_8c_source.html#l00031">householder_test()</a>, <a class="el" href="matrix_8c_source.html#l00752">matrix_get_two_norm()</a>, <a class="el" href="solve__test_8c_source.html#l00216">solve_big_matrix_test()</a>, <a class="el" href="solve__test_8c_source.html#l00029">solve_test()</a>, and <a class="el" href="matrix__test_8c_source.html#l00242">triangular_matrices_test()</a>.</p>
+
+</div>
+</div>
+<a id="a72297a60e572f85929989e813388a9c5"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a72297a60e572f85929989e813388a9c5">◆ </a></span>matrix_flex_part_print()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void matrix_flex_part_print </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>matrix</em>[m][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>start_row_ind</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>end_row_ind</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>start_col_ind</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>end_col_ind</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>before_dot</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>after_dot</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Display the values of the sub-matrix elements. </p>
+<p>This function allows the user to determine the precision as well as the with of the numbers to display.</p>
+<dl class="section note"><dt>Note</dt><dd>This function is more memory-consuming than <a class="el" href="matrix_8c.html#a72073ccd483f9cc438425d3d8ffd3029">matrix_part_print</a>.</dd></dl>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>total row number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>total column number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">matrix[][]</td><td>pointer to the entire matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">start_row_ind</td><td>start row number of the sub-matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">end_row_ind</td><td>end row number of the sub-matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">start_col_ind</td><td>start column number of the sub-matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">end_col_ind</td><td>end column number of the sub-matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">before_dot</td><td>the number of digits to be printed before the decimal point. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">after_dot</td><td>the number of digits to be printed after the decimal point. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8c_source.html#l00247">247</a> of file <a class="el" href="matrix_8c_source.html">matrix.c</a>.</p>
+
+<p class="reference">References <a class="el" href="utils_8c_source.html#l00096">utils_printf()</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="matrix__test_8c_source.html#l00031">matrix_test()</a>.</p>
+
+</div>
+</div>
+<a id="ad386233d68c73656a03641ddf3ecaaf2"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#ad386233d68c73656a03641ddf3ecaaf2">◆ </a></span>matrix_flex_print()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void matrix_flex_print </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>matrix</em>[m][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>before_dec</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>after_dec</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Display the values of the matrix elements. </p>
+<p>This function allows the user to determine the precision as well as the with of the numbers to display.</p>
+<dl class="section note"><dt>Note</dt><dd>This function is more memory-consuming than <a class="el" href="matrix_8c.html#a32ab12965ec43c2acf65cf9dd510353a">matrix_print</a>.</dd></dl>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">matrix[][]</td><td>pointer to the entire matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">before_dec</td><td>the number of digits to be printed before the decimal point. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">after_dec</td><td>the number of digits to be printed after the decimal point. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8c_source.html#l00220">220</a> of file <a class="el" href="matrix_8c_source.html">matrix.c</a>.</p>
+
+<p class="reference">References <a class="el" href="utils_8c_source.html#l00096">utils_printf()</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="givens__test_8c_source.html#l00028">givens_test()</a>, <a class="el" href="householder__test_8c_source.html#l00031">householder_test()</a>, <a class="el" href="matrix__test_8c_source.html#l00164">inv_triangular_matrices_test()</a>, <a class="el" href="lu__decomp__test_8c_source.html#l00029">lu_decomp_test()</a>, <a class="el" href="matrix__test_8c_source.html#l00031">matrix_test()</a>, <a class="el" href="moore__penrose__pseudo__inverse_8c_source.html#l00167">moore_penrose_pinv_compute_print()</a>, <a class="el" href="optimization__test_8c_source.html#l00101">optimization_test()</a>, <a class="el" href="pos__algos__common__test_8c_source.html#l00030">pos_algos_common_test()</a>, <a class="el" href="solve__test_8c_source.html#l00216">solve_big_matrix_test()</a>, <a class="el" href="solve__test_8c_source.html#l00029">solve_test()</a>, and <a class="el" href="matrix__test_8c_source.html#l00242">triangular_matrices_test()</a>.</p>
+
+</div>
+</div>
+<a id="a5f6a1948ec005cff4985559821c4943f"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a5f6a1948ec005cff4985559821c4943f">◆ </a></span>matrix_get_abs_max_elem_and_index_in_part_column()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix_get_abs_max_elem_and_index_in_part_column </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>max_m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>max_n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>matrix</em>[max_m][max_n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>row_num</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>col_num</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t * </td>
+ <td class="paramname"><em>index</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Get the maximum absolute value and its position in a column vector in a sub-matrix. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">max_m</td><td>total row number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">max_n</td><td>total column number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">matrix[][]</td><td>pointer to the entire matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">row_num</td><td>row number of the sub-matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">col_num</td><td>column number of the sub-matrix. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">index</td><td>pointer to the variable holding the position of the maximum absolute value in the column vector of the sub-matrix.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the maximum absolute value of a partial column. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8c_source.html#l00703">703</a> of file <a class="el" href="matrix_8c_source.html">matrix.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="lu__decomp_8c_source.html#l00031">lu_decomp()</a>.</p>
+
+</div>
+</div>
+<a id="a0a3d3cfa20ad3e75ad783af457343672"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a0a3d3cfa20ad3e75ad783af457343672">◆ </a></span>matrix_get_abs_max_elem_in_column()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix_get_abs_max_elem_in_column </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>matrix</em>[m][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>col_num</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Get the maximum absolute value of a column vector in a matrix. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">matrix[][]</td><td>pointer to the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">col_num</td><td>column number.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the maximum absolute value of a column. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8c_source.html#l00651">651</a> of file <a class="el" href="matrix_8c_source.html">matrix.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>.</p>
+
+</div>
+</div>
+<a id="a8d77cfae4f1da83acac929c1ce13d252"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a8d77cfae4f1da83acac929c1ce13d252">◆ </a></span>matrix_get_abs_max_elem_in_part_column()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix_get_abs_max_elem_in_part_column </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>max_m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>max_n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>matrix</em>[max_m][max_n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>row_num</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>col_num</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Get the maximum absolute value of a column vector in a sub-matrix. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">max_m</td><td>total row number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">max_n</td><td>total column number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">matrix[][]</td><td>pointer to the entire matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">row_num</td><td>row number of the sub-matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">col_num</td><td>column number of the sub-matrix.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the maximum absolute value of a partial column. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8c_source.html#l00685">685</a> of file <a class="el" href="matrix_8c_source.html">matrix.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>.</p>
+
+</div>
+</div>
+<a id="a3ae0b9f73f82716f3427a523a3412864"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a3ae0b9f73f82716f3427a523a3412864">◆ </a></span>matrix_get_column_vec()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void matrix_get_column_vec </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>matrix</em>[m][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>col_num</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>col_vec</em>[m] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Get a column of a matrix. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">matrix[][]</td><td>pointer to the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">col_num</td><td>number of the requested column. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">col_vec[]</td><td>pointer to the column vector. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8c_source.html#l00612">612</a> of file <a class="el" href="matrix_8c_source.html">matrix.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="matrix_8c_source.html#l00545">matrix_trans_mul_itself()</a>.</p>
+
+</div>
+</div>
+<a id="a18e47742f1653dcc4491badfe2537a0a"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a18e47742f1653dcc4491badfe2537a0a">◆ </a></span>matrix_get_diag_mat()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void matrix_get_diag_mat </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>value</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>diag_matrix</em>[m][n] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Create a diagonal matrix with a specified value. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">value</td><td>value of the diagonal elements. </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">diag_matrix[][]</td><td>pointer to the diagonal matrix. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8c_source.html#l00594">594</a> of file <a class="el" href="matrix_8c_source.html">matrix.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8c_source.html#l00046">matrix_clear()</a>, and <a class="el" href="matrix_8c_source.html#l00565">matrix_set_diag_elements()</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="lu__decomp_8c_source.html#l00031">lu_decomp()</a>, and <a class="el" href="matrix__test_8c_source.html#l00031">matrix_test()</a>.</p>
+
+</div>
+</div>
+<a id="ae808f007791f060590d39c7668501988"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#ae808f007791f060590d39c7668501988">◆ </a></span>matrix_get_diag_mat_new()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void matrix_get_diag_mat_new </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>diag_matrix</em>[m][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>length</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>vec</em>[] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Set all the diagonal elements of a matrix with values that are saved in a vector. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">diag_matrix[][]</td><td>pointer to the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">length</td><td>size of the vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">vec</td><td>pointer to the vector containing diagonal elements. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8c_source.html#l00581">581</a> of file <a class="el" href="matrix_8c_source.html">matrix.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8c_source.html#l00046">matrix_clear()</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="matrix__test_8c_source.html#l00031">matrix_test()</a>.</p>
+
+</div>
+</div>
+<a id="aaf85a32b8562c91d2d1889819580375e"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#aaf85a32b8562c91d2d1889819580375e">◆ </a></span>matrix_get_frob_norm()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">double matrix_get_frob_norm </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>A</em>[][n] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Get the Frobenius norm of a matrix. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">A[][]</td><td>pointer to the matrix.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the Frobenius norm a matrix. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8c_source.html#l00782">782</a> of file <a class="el" href="matrix_8c_source.html">matrix.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="matrix__test_8c_source.html#l00031">matrix_test()</a>.</p>
+
+</div>
+</div>
+<a id="ae8e87640fa1a2d259ee4dc98c955cb48"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#ae8e87640fa1a2d259ee4dc98c955cb48">◆ </a></span>matrix_get_inv_low_triang()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void matrix_get_inv_low_triang </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>L</em>[][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>inv_L</em>[][m] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Computes the inverse a lower triangular matrix. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">L[][]</td><td>pointer to the matrix. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">inv_L[][]</td><td>pointer to the inverse matrix. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8c_source.html#l00817">817</a> of file <a class="el" href="matrix_8c_source.html">matrix.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8c_source.html#l00046">matrix_clear()</a>, and <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="matrix__test_8c_source.html#l00164">inv_triangular_matrices_test()</a>, and <a class="el" href="solve_8c_source.html#l00124">solve_lu_decomp()</a>.</p>
+
+</div>
+</div>
+<a id="ab166871472924745f70e2bb6e17498c8"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#ab166871472924745f70e2bb6e17498c8">◆ </a></span>matrix_get_inv_upp_triang()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void matrix_get_inv_upp_triang </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>U</em>[][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>inv_U</em>[][m] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Computes the inverse an upper triangular matrix. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">U[][]</td><td>pointer to the upper triangular matrix. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">inv_U[][]</td><td>pointer to the inverse matrix. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8c_source.html#l00795">795</a> of file <a class="el" href="matrix_8c_source.html">matrix.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8c_source.html#l00046">matrix_clear()</a>, and <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="matrix__test_8c_source.html#l00164">inv_triangular_matrices_test()</a>.</p>
+
+</div>
+</div>
+<a id="adfd93dda9be9b2e8df5805af7fee7845"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#adfd93dda9be9b2e8df5805af7fee7845">◆ </a></span>matrix_get_low_triang()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void matrix_get_low_triang </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>A</em>[][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>tr_low_A</em>[][n] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Gets the lower triangular part of a matrix. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">A[][]</td><td>pointer to the matrix. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">tr_low_A[][]</td><td>pointer to the lower triangular part of the matrix. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8c_source.html#l00868">868</a> of file <a class="el" href="matrix_8c_source.html">matrix.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="matrix__test_8c_source.html#l00242">triangular_matrices_test()</a>.</p>
+
+</div>
+</div>
+<a id="aef8d1508ad101227ab255a714ab22b94"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#aef8d1508ad101227ab255a714ab22b94">◆ </a></span>matrix_get_max_elem_in_column()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix_get_max_elem_in_column </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>matrix</em>[m][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>col_num</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Get the largest element of a column vector in a matrix. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">matrix[][]</td><td>pointer to the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">col_num</td><td>column number.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the largest element of a column. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8c_source.html#l00635">635</a> of file <a class="el" href="matrix_8c_source.html">matrix.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>.</p>
+
+</div>
+</div>
+<a id="ad2cecc467ac6480ef0f3423f962b39bc"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#ad2cecc467ac6480ef0f3423f962b39bc">◆ </a></span>matrix_get_max_elem_in_part_column()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix_get_max_elem_in_part_column </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>max_m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>max_n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>matrix</em>[max_m][max_n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>row_num</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>col_num</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Get the largest element of a column vector in a sub-matrix. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">max_m</td><td>total row number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">max_n</td><td>total column number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">matrix[][]</td><td>pointer to the entire matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">row_num</td><td>row number of the sub-matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">col_num</td><td>column number of the sub-matrix.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the largest element of a partial column. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8c_source.html#l00668">668</a> of file <a class="el" href="matrix_8c_source.html">matrix.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>.</p>
+
+</div>
+</div>
+<a id="ac20399f6a8de13b1f392a1e3f7c0fbf4"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#ac20399f6a8de13b1f392a1e3f7c0fbf4">◆ </a></span>matrix_get_part_column_vec()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void matrix_get_part_column_vec </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>max_m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>max_n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>matrix</em>[max_m][max_n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>col_num</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>offset</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>col_vec</em>[max_m - offset] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Get a part of a column of a matrix. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">max_m</td><td>row number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">max_n</td><td>column number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">matrix[][]</td><td>pointer to the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">col_num</td><td>number of the requested column. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">offset</td><td>points to the start position of the column vector. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">col_vec[]</td><td>pointer to the column vector. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8c_source.html#l00623">623</a> of file <a class="el" href="matrix_8c_source.html">matrix.c</a>.</p>
+
+</div>
+</div>
+<a id="a53879e7c4cfbc96725aef9f8234be7dd"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a53879e7c4cfbc96725aef9f8234be7dd">◆ </a></span>matrix_get_rank()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">uint8_t matrix_get_rank </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>singl_values_arr</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>length</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute the rank of a matrix. </p>
+<p>The SVD must be previously invoked to get the singular values of the matrix.</p>
+<dl class="section note"><dt>Note</dt><dd>This function should be invoked after the call of the <a class="el" href="svd_8c.html#acdccfce5b7732e6334ca5a521c57e63e">svd</a> method.</dd></dl>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the source matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the source matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">singl_values_arr[]</td><td>array containing the singular values of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">length</td><td>length of the singular values array.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the rank of the matrix. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8c_source.html#l00312">312</a> of file <a class="el" href="matrix_8c_source.html">matrix.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="trilateration_8c_source.html#l00149">trilateration_get_rank_and_homogeneous_solution()</a>.</p>
+
+</div>
+</div>
+<a id="aec03481d950677386122e3c8ba6a5cd0"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#aec03481d950677386122e3c8ba6a5cd0">◆ </a></span>matrix_get_two_norm()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">double matrix_get_two_norm </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>A</em>[][n] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Get the 2-norm of a matrix that is equal to the largest singular value. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">A[][]</td><td>pointer to the matrix.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the 2-norm of a matrix. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8c_source.html#l00752">752</a> of file <a class="el" href="matrix_8c_source.html">matrix.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00062">matrix_dim_t::col_num</a>, <a class="el" href="matrix_8c_source.html#l00083">matrix_copy()</a>, <a class="el" href="matrix_8c_source.html#l00141">matrix_print()</a>, <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>, <a class="el" href="matrix_8h_source.html#l00061">matrix_dim_t::row_num</a>, <a class="el" href="svd_8c_source.html#l00119">svd()</a>, <a class="el" href="svd_8c_source.html#l00114">svd_get_single_values_num()</a>, and <a class="el" href="svd_8c_source.html#l00096">svd_get_U_dim()</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="matrix__test_8c_source.html#l00031">matrix_test()</a>.</p>
+
+</div>
+</div>
+<a id="abbaf8f39b2b7bb4bd2987f99674c1213"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#abbaf8f39b2b7bb4bd2987f99674c1213">◆ </a></span>matrix_get_upp_triang()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void matrix_get_upp_triang </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>A</em>[][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>tr_up_A</em>[][n] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Gets the upper triangular part of a matrix. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">A[][]</td><td>pointer to the matrix. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">tr_up_A[][]</td><td>pointer to the upper triangular part of the matrix. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8c_source.html#l00841">841</a> of file <a class="el" href="matrix_8c_source.html">matrix.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="qr__givens_8c_source.html#l00033">qr_givens_decomp()</a>, and <a class="el" href="matrix__test_8c_source.html#l00242">triangular_matrices_test()</a>.</p>
+
+</div>
+</div>
+<a id="a48b36217faeda15438f4e07c54d0ef9e"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a48b36217faeda15438f4e07c54d0ef9e">◆ </a></span>matrix_in_place_transpose()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void matrix_in_place_transpose </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>matrix</em>[][m] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Computes the in-place transpose of a matrix. </p>
+<p>Transpose the matrix without auxiliary memory.</p>
+<dl class="section note"><dt>Note</dt><dd>This function is limited to square matrices.</dd></dl>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row and column number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">matrix[][]</td><td>pointer to the matrix to transpose. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8c_source.html#l00069">69</a> of file <a class="el" href="matrix_8c_source.html">matrix.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>.</p>
+
+</div>
+</div>
+<a id="acfd2bbc4a90915e57a4555694e842312"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#acfd2bbc4a90915e57a4555694e842312">◆ </a></span>matrix_init()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void matrix_init </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>matrix</em>[m][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>value</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Initialize all the elements of the matrix with a specified value. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">matrix[][]</td><td>pointer to the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">value</td><td>value to be set. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8c_source.html#l00051">51</a> of file <a class="el" href="matrix_8c_source.html">matrix.c</a>.</p>
+
+</div>
+</div>
+<a id="a550aa0d5a3212e35ad0af134895fd20a"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a550aa0d5a3212e35ad0af134895fd20a">◆ </a></span>matrix_mul()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void matrix_mul </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>a_line_num</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>a_col_num</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>a_matrix</em>[a_line_num][a_col_num], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>b_line_num</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>b_col_num</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>b_matrix</em>[b_line_num][b_col_num], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>dest_matrix</em>[a_line_num][b_col_num] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute the multiplication of two matrices. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">a_line_num</td><td>row number of the first matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">a_col_num</td><td>column number of the first matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">a_matrix[][]</td><td>pointer to the first matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">b_line_num</td><td>row number of the second matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">b_col_num</td><td>column number of the second matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">b_matrix[][]</td><td>pointer to the second matrix. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">dest_matrix[][]</td><td>pointer to the destination matrix. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8c_source.html#l00363">363</a> of file <a class="el" href="matrix_8c_source.html">matrix.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="DOP_8c_source.html#l00030">get_PDOP()</a>, <a class="el" href="matrix__test_8c_source.html#l00031">matrix_test()</a>, and <a class="el" href="solve_8c_source.html#l00124">solve_lu_decomp()</a>.</p>
+
+</div>
+</div>
+<a id="acfd7c6f021f4fbcd393fe849c82f34de"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#acfd7c6f021f4fbcd393fe849c82f34de">◆ </a></span>matrix_mul_col_vec_row_vec()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void matrix_mul_col_vec_row_vec </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>col_vec</em>[m], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>row_vec</em>[n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>max_n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>res_mat</em>[][max_n] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute the multiplication of a column and row vector. </p>
+<p>Return Cm,1 * R1,n = Mm,n, where C is a m-dimensional column vector, R is a n-dimensional row vector, and the result is a (mxn)-matrix.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the column vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">col_vec[]</td><td>pointer to the column vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the row vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">row_vec[]</td><td>pointer to the row vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">max_n</td><td>column number of the result matrix. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">res_mat[][]</td><td>pointer to the (mxn) result matrix. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8c_source.html#l00531">531</a> of file <a class="el" href="matrix_8c_source.html">matrix.c</a>.</p>
+
+</div>
+</div>
+<a id="a51139e6c87b602e5e0ebfbc406fda35d"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a51139e6c87b602e5e0ebfbc406fda35d">◆ </a></span>matrix_mul_scalar()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void matrix_mul_scalar </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>mat_src</em>[m][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>value</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>mat_dest</em>[m][n] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Multiply all elements of a matrix with a specified value. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">mat_src</td><td>pointer to the source matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">value</td><td>multiplication factor. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">mat_dest[][]</td><td>pointer to the destination matrix. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8c_source.html#l00602">602</a> of file <a class="el" href="matrix_8c_source.html">matrix.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="loc__levenberg__marquardt_8c_source.html#l00126">loc_levenberg_marquardt()</a>, <a class="el" href="loc__levenberg__marquardt_8c_source.html#l00034">loc_levenberg_marquardt_correction()</a>, <a class="el" href="levenberg__marquardt_8c_source.html#l00143">opt_levenberg_marquardt()</a>, and <a class="el" href="levenberg__marquardt_8c_source.html#l00053">opt_levenberg_marquardt_correction()</a>.</p>
+
+</div>
+</div>
+<a id="ac735d13efe5b76ecf60ac13ec79da8e3"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#ac735d13efe5b76ecf60ac13ec79da8e3">◆ </a></span>matrix_mul_scalar_vec_matr()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void matrix_mul_scalar_vec_matr </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>scalar</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>vec</em>[m], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>matrix</em>[m][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>dst_arr</em>[n] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute the multiplication of a scalar with row vector and a matrix. </p>
+<p>Return scal*R1,m * Am,n = R1,n, where scal is a scalar, R is a m-dimensional row vector, A is a (mxn)-matrix, and the result is a row vector of n-dimension.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>size of the row vector and row number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">scalar</td><td>scalar value. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">vec[]</td><td>pointer to the row vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">matrix[][]</td><td>pointer to the matrix. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">dst_arr</td><td>pointer to the destination row vector of n-dimension. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8c_source.html#l00470">470</a> of file <a class="el" href="matrix_8c_source.html">matrix.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>.</p>
+
+</div>
+</div>
+<a id="ad610bcce232c69ca302550f57b1ad9fb"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#ad610bcce232c69ca302550f57b1ad9fb">◆ </a></span>matrix_mul_vec()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void matrix_mul_vec </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>matrix</em>[m][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>vec</em>[n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>dst_arr</em>[m] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute the multiplication of a matrix with a column vector. </p>
+<p>Return Am,n * Vn,1 = Bm,1, where the A is a (mxn)-matrix, V is a n-dimensional column vector, and the result is a m-dimensional column vector.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the matrix to multiply. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix to multiply. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">matrix[][]</td><td>pointer to the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">vec</td><td>pointer to the n-dimensional column vector. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">dst_arr</td><td>pointer to the destination m-dimensional column vector. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8c_source.html#l00434">434</a> of file <a class="el" href="matrix_8c_source.html">matrix.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="damped__newton__raphson_8c_source.html#l00120">get_delta_x()</a>, <a class="el" href="loc__gauss__newton_8c_source.html#l00030">loc_gauss_newton()</a>, <a class="el" href="modified__gauss__newton_8c_source.html#l00032">modified_gauss_newton()</a>, <a class="el" href="newton__raphson_8c_source.html#l00028">newton_raphson()</a>, <a class="el" href="levenberg__marquardt_8c_source.html#l00053">opt_levenberg_marquardt_correction()</a>, <a class="el" href="solve_8c_source.html#l00035">solve()</a>, <a class="el" href="solve_8c_source.html#l00124">solve_lu_decomp()</a>, <a class="el" href="solve__test_8c_source.html#l00029">solve_test()</a>, and <a class="el" href="trilateration_8c_source.html#l00179">trilateration_get_particular_solution()</a>.</p>
+
+</div>
+</div>
+<a id="a56513a88eff05b0683320c532fadf945"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a56513a88eff05b0683320c532fadf945">◆ </a></span>matrix_part_copy()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void matrix_part_copy </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>src_matrix</em>[m][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>start_row_ind</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>end_row_ind</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>start_col_ind</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>end_col_ind</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>dest_row_num</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>dest_col_num</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>dest_matrix</em>[][dest_col_num] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Copy a part of a matrix to another matrix or sub-matrix. </p>
+<p>A part of the source matrix can be copied in a sub-part of the destination matrix (sub-matrix). The source and destination sub-matrices are limited by the row and column indices.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the source matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the source matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">src_matrix[][]</td><td>pointer to the source matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">start_row_ind</td><td>the start index of the rows of the source sub-matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">end_row_ind</td><td>the end index of the rows of the source sub-matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">start_col_ind</td><td>the start index of the columns of the source sub-matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">end_col_ind</td><td>the end index of the columns of the source sub-matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">dest_row_num</td><td>the row number of the destination sub-matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">dest_col_num</td><td>the column number of the destination sub-matrix. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">dest_matrix[][]</td><td>pointer to the destination (sub)-matrix. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8c_source.html#l00089">89</a> of file <a class="el" href="matrix_8c_source.html">matrix.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="qr__common_8c_source.html#l00059">qr_common_get_reduced_QR()</a>, and <a class="el" href="qr__givens_8c_source.html#l00033">qr_givens_decomp()</a>.</p>
+
+</div>
+</div>
+<a id="a3763252ca00e4c8522ae1bfd5ef40f0a"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a3763252ca00e4c8522ae1bfd5ef40f0a">◆ </a></span>matrix_part_mul()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void matrix_part_mul </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>a_col_num_max</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>a_matrix</em>[][a_col_num_max], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>b_col_num_max</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>b_matrix</em>[][b_col_num_max], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>a_start_row_ind</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>a_end_row_ind</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>a_start_col_ind</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>a_end_col_ind</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>b_start_row_ind</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>b_end_row_ind</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>b_start_col_ind</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>b_end_col_ind</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>dest_col_size</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>dest_matrix</em>[][dest_col_size] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute the partial multiplication of two matrices. </p>
+<p>Enables the calculation of matrix product of parts of two matrices.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">a_col_num_max</td><td>column number of the first matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">a_matrix[][]</td><td>pointer to the first matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">b_col_num_max</td><td>column number of the second matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">b_matrix[][]</td><td>pointer to the second matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">a_start_row_ind</td><td>row begin of the first, partial matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">a_end_row_ind</td><td>row end of the first, partial matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">a_start_col_ind</td><td>column begin of the first, partial matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">a_end_col_ind</td><td>column end of the first, partial matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">b_start_row_ind</td><td>row begin of the second, partial matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">b_end_row_ind</td><td>row end of the second, partial matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">b_start_col_ind</td><td>column begin of the second, partial matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">b_end_col_ind</td><td>column end of the second, partial matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">dest_col_size</td><td>column size of the destination matrix. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">dest_matrix[][]</td><td>pointer to the destination matrix. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8c_source.html#l00391">391</a> of file <a class="el" href="matrix_8c_source.html">matrix.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="matrix__test_8c_source.html#l00031">matrix_test()</a>.</p>
+
+</div>
+</div>
+<a id="a06f75ae4924e3f0dfd0b6a25313dc731"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a06f75ae4924e3f0dfd0b6a25313dc731">◆ </a></span>matrix_part_mul_scalar_vec_matr()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void matrix_part_mul_scalar_vec_matr </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>max_m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>max_n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>scalar</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>vec</em>[max_m], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>matrix</em>[max_m][max_n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>begin_row</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>begin_column</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>dst_arr</em>[max_n - begin_row] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute the multiplication of a scalar with row vector and a sub-matrix. </p>
+<p>Return scal*R1,m * Am,n = R1,n, where scal is a scalar, R is a m-dimensional row vector, A is a (mxn)-matrix, and the result is a row vector of n-dimension.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">max_m</td><td>size of the row vector and row number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">max_n</td><td>column number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">scalar</td><td>scalar value. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">vec[]</td><td>pointer to the row vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">matrix[][]</td><td>pointer to the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">begin_row</td><td>start row number of the sub-matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">begin_column</td><td>start column number of the sub-matrix. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">dst_arr</td><td>pointer to the destination row vector of n-dimension. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8c_source.html#l00489">489</a> of file <a class="el" href="matrix_8c_source.html">matrix.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>.</p>
+
+</div>
+</div>
+<a id="a72073ccd483f9cc438425d3d8ffd3029"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a72073ccd483f9cc438425d3d8ffd3029">◆ </a></span>matrix_part_print()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void matrix_part_print </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>matrix</em>[m][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>start_row_ind</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>end_row_ind</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>start_col_ind</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>end_col_ind</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Display the values of the sub-matrix elements. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>total row number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>total column number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">matrix[][]</td><td>pointer to the entire matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">start_row_ind</td><td>start row number of the sub-matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">end_row_ind</td><td>end row number of the sub-matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">start_col_ind</td><td>start column number of the sub-matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">end_col_ind</td><td>end column number of the sub-matrix. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8c_source.html#l00164">164</a> of file <a class="el" href="matrix_8c_source.html">matrix.c</a>.</p>
+
+</div>
+</div>
+<a id="a3570c016691507c003dd7a54cb37e7e2"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a3570c016691507c003dd7a54cb37e7e2">◆ </a></span>matrix_part_swap_rows()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void matrix_part_swap_rows </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>matrix</em>[][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>i</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>j</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>col_begin</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>col_end</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Swaps two rows of a sub-matrix. </p>
+<p>Swaps the rows i and j of a part of a matrix.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the entire matrix. </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">matrix[][]</td><td>pointer to the entire matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">i</td><td>the i-the row of the sub-matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">j</td><td>the j-the row of the sub-matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">col_begin</td><td>the column begin of the sub-matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">col_end</td><td>the column end of the sub-matrix. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8c_source.html#l00736">736</a> of file <a class="el" href="matrix_8c_source.html">matrix.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="lu__decomp_8c_source.html#l00031">lu_decomp()</a>.</p>
+
+</div>
+</div>
+<a id="a32ab12965ec43c2acf65cf9dd510353a"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a32ab12965ec43c2acf65cf9dd510353a">◆ </a></span>matrix_print()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void matrix_print </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>matrix</em>[m][n] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Display the values of the matrix elements. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">matrix[][]</td><td>pointer to the entire matrix. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8c_source.html#l00141">141</a> of file <a class="el" href="matrix_8c_source.html">matrix.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="matrix_8c_source.html#l00752">matrix_get_two_norm()</a>, and <a class="el" href="svd_8c_source.html#l00766">svd_compute_print_U_S_V_s()</a>.</p>
+
+</div>
+</div>
+<a id="a722a0230185fd66f0cecbeae7d50ce1a"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a722a0230185fd66f0cecbeae7d50ce1a">◆ </a></span>matrix_read()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix_read </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>matrix</em>[m][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>i</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>j</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Get the value of a matrix at the position (i,j). </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">matrix[][]</td><td>pointer to the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">i</td><td>row number. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">j</td><td>column number.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the value of the matrix at the row i and column j. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8c_source.html#l00895">895</a> of file <a class="el" href="matrix_8c_source.html">matrix.c</a>.</p>
+
+</div>
+</div>
+<a id="a49aa70a7d6ad76388ea08acfe43b7374"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a49aa70a7d6ad76388ea08acfe43b7374">◆ </a></span>matrix_set_diag_elements()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void matrix_set_diag_elements </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>value</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>diag_matrix</em>[m][n] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Set all the diagonal elements of a matrix with a specified value. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">value</td><td>value to be set. </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">diag_matrix[][]</td><td>pointer to the matrix. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8c_source.html#l00565">565</a> of file <a class="el" href="matrix_8c_source.html">matrix.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="matrix_8c_source.html#l00594">matrix_get_diag_mat()</a>.</p>
+
+</div>
+</div>
+<a id="aed6fab1ffa40243eeb08117215082be3"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#aed6fab1ffa40243eeb08117215082be3">◆ </a></span>matrix_sub()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void matrix_sub </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>A</em>[m][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>B</em>[m][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>A_minus_B</em>[m][n] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute the subtraction of two matrices. </p>
+<p>Subtract matrix B from matrix A and return the result in A_minus_B matrix.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the matrix to add. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix to add. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">A[][]</td><td>pointer to the first matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">B[][]</td><td>pointer to the second matrix. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">A_minus_B[][]</td><td>pointer to the destination matrix. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8c_source.html#l00329">329</a> of file <a class="el" href="matrix_8c_source.html">matrix.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="matrix__test_8c_source.html#l00031">matrix_test()</a>.</p>
+
+</div>
+</div>
+<a id="a875d6c55a16ee9f8bf523b8c1c82bc6f"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a875d6c55a16ee9f8bf523b8c1c82bc6f">◆ </a></span>matrix_swap_rows()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void matrix_swap_rows </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>matrix</em>[][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>i</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>j</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Swaps two rows of a matrix. </p>
+<p>Swaps the rows i and j of a matrix.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">matrix[][]</td><td>pointer to the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">i</td><td>the i-the row of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">j</td><td>the j-the row of the matrix. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8c_source.html#l00725">725</a> of file <a class="el" href="matrix_8c_source.html">matrix.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="lu__decomp_8c_source.html#l00031">lu_decomp()</a>, and <a class="el" href="matrix__test_8c_source.html#l00031">matrix_test()</a>.</p>
+
+</div>
+</div>
+<a id="a0107887a6c40980fa639750be8262f01"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a0107887a6c40980fa639750be8262f01">◆ </a></span>matrix_trans_mul_itself()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void matrix_trans_mul_itself </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>A</em>[m][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>AT_mul_A</em>[n][n] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute the multiplication of the transpose of a matrix with itself. </p>
+<p>Transpose the matrix A and multiply it with the matrix A: A'*A.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">A[][]</td><td>pointer to the matrix. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">AT_mul_A[][]</td><td>pointer to the destination matrix (A'*A). </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8c_source.html#l00545">545</a> of file <a class="el" href="matrix_8c_source.html">matrix.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8c_source.html#l00612">matrix_get_column_vec()</a>, and <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="magnetic__based__jacobian_8c_source.html#l00099">magnetic_based_jacobian_get_JTJ()</a>, <a class="el" href="modified__gauss__newton_8c_source.html#l00032">modified_gauss_newton()</a>, <a class="el" href="levenberg__marquardt_8c_source.html#l00143">opt_levenberg_marquardt()</a>, and <a class="el" href="levenberg__marquardt_8c_source.html#l00053">opt_levenberg_marquardt_correction()</a>.</p>
+
+</div>
+</div>
+<a id="a53b0a1829b2085414fb66a9e9bd6c7b7"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a53b0a1829b2085414fb66a9e9bd6c7b7">◆ </a></span>matrix_trans_mul_vec()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void matrix_trans_mul_vec </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>A</em>[m][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>b_size</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>b_vec</em>[m], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>c_vec</em>[n] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute the multiplication of transposed matrix with column vector. </p>
+<p>Transpose A and return A'n,m * Vm,1 = Bn,1, where A is a (mxn)-matrix, V is a m-dimensional column vector, and the result is a n-dimensional column vector.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the matrix to transpose and multiply. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix to transpose and multiply. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">A[][]</td><td>pointer to the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">b_size</td><td>size of the column vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">b_vec[]</td><td>pointer to the column vector of m-dimension. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">c_vec[]</td><td>pointer to the destination, column vector of n-dimension. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8c_source.html#l00511">511</a> of file <a class="el" href="matrix_8c_source.html">matrix.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="magnetic__based__jacobian_8c_source.html#l00112">magnetic_based_jacobian_get_JTf()</a>, <a class="el" href="modified__gauss__newton_8c_source.html#l00032">modified_gauss_newton()</a>, <a class="el" href="levenberg__marquardt_8c_source.html#l00143">opt_levenberg_marquardt()</a>, <a class="el" href="levenberg__marquardt_8c_source.html#l00053">opt_levenberg_marquardt_correction()</a>, <a class="el" href="solve_8c_source.html#l00102">solve_givens()</a>, and <a class="el" href="solve_8c_source.html#l00077">solve_householder()</a>.</p>
+
+</div>
+</div>
+<a id="ad7c9a682a3cc4ca33c030afa8798241a"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#ad7c9a682a3cc4ca33c030afa8798241a">◆ </a></span>matrix_transpose()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void matrix_transpose </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>src_matrix</em>[m][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>dest_matrix</em>[n][m] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Computes the transpose of a matrix. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">src_matrix[][]</td><td>pointer to the matrix to transpose. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">dest_matrix[][]</td><td>pointer to the destination matrix. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8c_source.html#l00056">56</a> of file <a class="el" href="matrix_8c_source.html">matrix.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="DOP_8c_source.html#l00030">get_PDOP()</a>, <a class="el" href="matrix__test_8c_source.html#l00031">matrix_test()</a>, <a class="el" href="moore__penrose__pseudo__inverse_8c_source.html#l00038">moore_penrose_get_pinv()</a>, and <a class="el" href="matrix__test_8c_source.html#l00242">triangular_matrices_test()</a>.</p>
+
+</div>
+</div>
+<a id="a3cf18a2c5c6ad62a4e0a0c00d27e2887"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a3cf18a2c5c6ad62a4e0a0c00d27e2887">◆ </a></span>matrix_vec_mul_matr()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void matrix_vec_mul_matr </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>vec</em>[m], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>matrix</em>[m][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>dst_arr</em>[n] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute the multiplication of row vector and a matrix. </p>
+<p>Return R1,m * Am,n = R1,n, where R is a m-dimensional row vector, A is a (mxn)-matrix, and the result is a row vector of n-dimension.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>size of the row vector and row number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">vec[]</td><td>pointer to the row vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">matrix[][]</td><td>pointer to the matrix. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">dst_arr</td><td>pointer to the destination row vector of n-dimension. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8c_source.html#l00452">452</a> of file <a class="el" href="matrix_8c_source.html">matrix.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>.</p>
+
+</div>
+</div>
+<a id="a90b6eafa665d34d7330581c32564d632"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a90b6eafa665d34d7330581c32564d632">◆ </a></span>matrix_write()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void matrix_write </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>matrix</em>[m][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>i</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>j</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>val</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Write a value in a matrix at the position (i,j). </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">matrix[][]</td><td>pointer to the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">i</td><td>row number. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">j</td><td>column number. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">val</td><td>value to write in the matrix. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8c_source.html#l00901">901</a> of file <a class="el" href="matrix_8c_source.html">matrix.c</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
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+ <ul>
+ <li class="navelem"><a class="el" href="dir_8c4128baa09a573ad2b8b8c0061a04c9.html">linear_algebra</a></li><li class="navelem"><a class="el" href="dir_c416454c2678f04387f9348cb110b9ee.html">basic_operations</a></li><li class="navelem"><a class="el" href="matrix_8c.html">matrix.c</a></li>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
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+ <div class="headertitle">
+<div class="title">matrix.c</div> </div>
+</div><!--header-->
+<div class="contents">
+<a href="matrix_8c.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="preprocessor">#include <stdint.h></span></div>
+<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#include <string.h></span></div>
+<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="preprocessor">#include <stdio.h></span></div>
+<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="preprocessor">#include <math.h></span></div>
+<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="preprocessor">#include <stdint.h></span></div>
+<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="preprocessor">#include <stdbool.h></span></div>
+<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="preprocessor">#include <float.h></span></div>
+<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  </div>
+<div class="line"><a name="l00032"></a><span class="lineno"> 32</span> <span class="preprocessor">#include "<a class="code" href="matrix_8h.html">matrix.h</a>"</span></div>
+<div class="line"><a name="l00033"></a><span class="lineno"> 33</span> <span class="preprocessor">#include "<a class="code" href="utils_8h.html">utils.h</a>"</span></div>
+<div class="line"><a name="l00034"></a><span class="lineno"> 34</span> <span class="preprocessor">#include "<a class="code" href="svd_8h.html">svd.h</a>"</span></div>
+<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  </div>
+<div class="line"><a name="l00036"></a><span class="lineno"> 36</span> <span class="keyword">static</span> int32_t max(int32_t a, int32_t b)</div>
+<div class="line"><a name="l00037"></a><span class="lineno"> 37</span> {</div>
+<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  <span class="keywordflow">if</span> (a > b) {</div>
+<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>  <span class="keywordflow">return</span> a;</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="keywordflow">else</span> {</div>
+<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  <span class="keywordflow">return</span> b;</div>
+<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  }</div>
+<div class="line"><a name="l00044"></a><span class="lineno"> 44</span> }</div>
+<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  </div>
+<div class="line"><a name="l00046"></a><span class="lineno"><a class="line" href="matrix_8c.html#a0e06b2cfb86340e88be7b1219bef0ce3"> 46</a></span> <span class="keywordtype">void</span> <a class="code" href="matrix_8c.html#a0e06b2cfb86340e88be7b1219bef0ce3">matrix_clear</a>(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[m][n])</div>
+<div class="line"><a name="l00047"></a><span class="lineno"> 47</span> {</div>
+<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  memset(matrix, 0, <span class="keyword">sizeof</span>(matrix[0][0]) * m * n);</div>
+<div class="line"><a name="l00049"></a><span class="lineno"> 49</span> }</div>
+<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  </div>
+<div class="line"><a name="l00051"></a><span class="lineno"><a class="line" href="matrix_8c.html#acfd2bbc4a90915e57a4555694e842312"> 51</a></span> <span class="keywordtype">void</span> <a class="code" href="matrix_8c.html#acfd2bbc4a90915e57a4555694e842312">matrix_init</a>(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[m][n], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> value)</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>  memset(matrix, value, <span class="keyword">sizeof</span>(matrix[0][0]) * m * n);</div>
+<div class="line"><a name="l00054"></a><span class="lineno"> 54</span> }</div>
+<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  </div>
+<div class="line"><a name="l00056"></a><span class="lineno"><a class="line" href="matrix_8c.html#ad7c9a682a3cc4ca33c030afa8798241a"> 56</a></span> <span class="keywordtype">void</span> <a class="code" href="matrix_8c.html#ad7c9a682a3cc4ca33c030afa8798241a">matrix_transpose</a>(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> src_matrix[m][n],</div>
+<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> dest_matrix[n][m])</div>
+<div class="line"><a name="l00058"></a><span class="lineno"> 58</span> {</div>
+<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  <span class="keywordtype">int</span> i, j;</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>  <span class="keywordflow">for</span> (i = 0; i < m; i++) {</div>
+<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  <span class="keywordflow">for</span> (j = 0; j < n; j++) {</div>
+<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  dest_matrix[j][i] = src_matrix[i][j];</div>
+<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  }</div>
+<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  }</div>
+<div class="line"><a name="l00066"></a><span class="lineno"> 66</span> }</div>
+<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  </div>
+<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  </div>
+<div class="line"><a name="l00069"></a><span class="lineno"><a class="line" href="matrix_8c.html#a48b36217faeda15438f4e07c54d0ef9e"> 69</a></span> <span class="keywordtype">void</span> <a class="code" href="matrix_8c.html#a48b36217faeda15438f4e07c54d0ef9e">matrix_in_place_transpose</a>(uint8_t m, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[][m])</div>
+<div class="line"><a name="l00070"></a><span class="lineno"> 70</span> {</div>
+<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  uint8_t i, j;</div>
+<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> tmp;</div>
+<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  </div>
+<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  <span class="keywordflow">for</span> (i = 0; i < m; i++) {</div>
+<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  <span class="keywordflow">for</span> (j = i + 1; j < m; j++) {</div>
+<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  tmp = matrix[i][j];</div>
+<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  matrix[i][j] = matrix[j][i];</div>
+<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  matrix[j][i] = tmp;</div>
+<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  }</div>
+<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  }</div>
+<div class="line"><a name="l00081"></a><span class="lineno"> 81</span> }</div>
+<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  </div>
+<div class="line"><a name="l00083"></a><span class="lineno"><a class="line" href="matrix_8c.html#ae8d8daa117e9f96a5e29fe6c76c4998c"> 83</a></span> <span class="keywordtype">void</span> <a class="code" href="matrix_8c.html#ae8d8daa117e9f96a5e29fe6c76c4998c">matrix_copy</a>(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> src_matrix[m][n],</div>
+<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> dest_matrix[m][n])</div>
+<div class="line"><a name="l00085"></a><span class="lineno"> 85</span> {</div>
+<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  memcpy(dest_matrix, src_matrix, <span class="keyword">sizeof</span>(<a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a>) * m * n);</div>
+<div class="line"><a name="l00087"></a><span class="lineno"> 87</span> }</div>
+<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  </div>
+<div class="line"><a name="l00089"></a><span class="lineno"><a class="line" href="matrix_8c.html#a56513a88eff05b0683320c532fadf945"> 89</a></span> <span class="keywordtype">void</span> <a class="code" href="matrix_8c.html#a56513a88eff05b0683320c532fadf945">matrix_part_copy</a>(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> src_matrix[m][n],</div>
+<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  uint8_t start_row_ind, uint8_t end_row_ind,</div>
+<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  uint8_t start_col_ind, uint8_t end_col_ind,</div>
+<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  uint8_t dest_row_num, uint8_t dest_col_num,</div>
+<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> dest_matrix[][dest_col_num])</div>
+<div class="line"><a name="l00094"></a><span class="lineno"> 94</span> {</div>
+<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  int16_t i, j;</div>
+<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  </div>
+<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  <span class="keywordflow">if</span> ((end_row_ind > start_row_ind) && (end_col_ind > start_col_ind)) {</div>
+<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  <span class="keywordflow">for</span> (i = start_row_ind;</div>
+<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  (i <= end_row_ind)</div>
+<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  && ((i - start_row_ind)</div>
+<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  < dest_row_num);</div>
+<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  i++) {</div>
+<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  <span class="keywordflow">for</span> (j = start_col_ind;</div>
+<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  (j <= end_col_ind)</div>
+<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  && ((j - start_col_ind)</div>
+<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  < dest_col_num);</div>
+<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  j++) {</div>
+<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  dest_matrix[i - start_row_ind][j - start_col_ind] =</div>
+<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  src_matrix[i][j];</div>
+<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  }</div>
+<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  }</div>
+<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  }</div>
+<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  <span class="keywordflow">else</span> {</div>
+<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  <span class="comment">//copy one element</span></div>
+<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  <span class="keywordflow">if</span> ((start_row_ind == end_row_ind)</div>
+<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  && (start_col_ind == end_col_ind)) {</div>
+<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  </div>
+<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  dest_matrix[start_row_ind][start_row_ind] =</div>
+<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  src_matrix[start_row_ind][start_row_ind];</div>
+<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  }</div>
+<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  <span class="comment">//copy a row vector of the matrix</span></div>
+<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  <span class="keywordflow">else</span> <span class="keywordflow">if</span> (start_row_ind == end_row_ind) {</div>
+<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  i = 0;</div>
+<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  <span class="keywordflow">for</span> (j = start_col_ind; j <= end_col_ind; j++) {</div>
+<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  dest_matrix[start_row_ind][i++] =</div>
+<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  src_matrix[start_row_ind][j];</div>
+<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  }</div>
+<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  }</div>
+<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  <span class="comment">//copy a column vector of the matrix</span></div>
+<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  <span class="keywordflow">else</span> <span class="keywordflow">if</span> (start_col_ind == end_col_ind) {</div>
+<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  j = 0;</div>
+<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  <span class="keywordflow">for</span> (i = start_row_ind; i <= end_row_ind; i++) {</div>
+<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  dest_matrix[j++][start_col_ind] =</div>
+<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  src_matrix[i][start_col_ind];</div>
+<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  }</div>
+<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  }</div>
+<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  }</div>
+<div class="line"><a name="l00138"></a><span class="lineno"> 138</span> }</div>
+<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  </div>
+<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  </div>
+<div class="line"><a name="l00141"></a><span class="lineno"><a class="line" href="matrix_8c.html#a32ab12965ec43c2acf65cf9dd510353a"> 141</a></span> <span class="keywordtype">void</span> <a class="code" href="matrix_8c.html#a32ab12965ec43c2acf65cf9dd510353a">matrix_print</a>(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[m][n])</div>
+<div class="line"><a name="l00142"></a><span class="lineno"> 142</span> {</div>
+<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  <span class="keywordtype">int</span> i, j;</div>
+<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  </div>
+<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  puts(<span class="stringliteral">"{"</span>);</div>
+<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  <span class="keywordflow">for</span> (i = 0; i < m; i++) {</div>
+<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>  printf(<span class="stringliteral">"{"</span>);</div>
+<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>  <span class="keywordflow">for</span> (j = 0; j < n; j++) {</div>
+<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  printf(<span class="stringliteral">"%7.4f"</span>, matrix[i][j]);</div>
+<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>  <span class="keywordflow">if</span> (j < n - 1) {</div>
+<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>  printf(<span class="stringliteral">", "</span>);</div>
+<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>  }</div>
+<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>  }</div>
+<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>  printf(<span class="stringliteral">"}"</span>);</div>
+<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  <span class="keywordflow">if</span> (i < m - 1) {</div>
+<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>  printf(<span class="stringliteral">", "</span>);</div>
+<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  }</div>
+<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  }</div>
+<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  printf(<span class="stringliteral">"}"</span>);</div>
+<div class="line"><a name="l00161"></a><span class="lineno"> 161</span> }</div>
+<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  </div>
+<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>  </div>
+<div class="line"><a name="l00164"></a><span class="lineno"><a class="line" href="matrix_8c.html#a72073ccd483f9cc438425d3d8ffd3029"> 164</a></span> <span class="keywordtype">void</span> <a class="code" href="matrix_8c.html#a72073ccd483f9cc438425d3d8ffd3029">matrix_part_print</a>(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[m][n],</div>
+<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>  uint8_t start_row_ind, uint8_t end_row_ind,</div>
+<div class="line"><a name="l00166"></a><span class="lineno"> 166</span>  uint8_t start_col_ind, uint8_t end_col_ind)</div>
+<div class="line"><a name="l00167"></a><span class="lineno"> 167</span> {</div>
+<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>  int16_t i, j;</div>
+<div class="line"><a name="l00169"></a><span class="lineno"> 169</span>  </div>
+<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>  <span class="keywordflow">if</span> ((end_row_ind > start_row_ind) && (end_col_ind > start_col_ind)) {</div>
+<div class="line"><a name="l00171"></a><span class="lineno"> 171</span>  puts(<span class="stringliteral">"{"</span>);</div>
+<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>  <span class="keywordflow">for</span> (i = start_row_ind; i <= end_row_ind; i++) {</div>
+<div class="line"><a name="l00173"></a><span class="lineno"> 173</span>  printf(<span class="stringliteral">"{"</span>);</div>
+<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>  <span class="keywordflow">for</span> (j = start_col_ind; j <= end_col_ind; j++) {</div>
+<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>  printf(<span class="stringliteral">"%7.4f"</span>, matrix[i][j]);</div>
+<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>  <span class="keywordflow">if</span> (j < end_col_ind) {</div>
+<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>  printf(<span class="stringliteral">", "</span>);</div>
+<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>  }</div>
+<div class="line"><a name="l00179"></a><span class="lineno"> 179</span>  }</div>
+<div class="line"><a name="l00180"></a><span class="lineno"> 180</span>  printf(<span class="stringliteral">"}"</span>);</div>
+<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>  <span class="keywordflow">if</span> (i < end_row_ind) {</div>
+<div class="line"><a name="l00182"></a><span class="lineno"> 182</span>  printf(<span class="stringliteral">", "</span>);</div>
+<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>  }</div>
+<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>  }</div>
+<div class="line"><a name="l00186"></a><span class="lineno"> 186</span>  printf(<span class="stringliteral">"}"</span>);</div>
+<div class="line"><a name="l00187"></a><span class="lineno"> 187</span>  }</div>
+<div class="line"><a name="l00188"></a><span class="lineno"> 188</span>  <span class="keywordflow">else</span> {</div>
+<div class="line"><a name="l00189"></a><span class="lineno"> 189</span>  <span class="comment">//print only one element of the matrix</span></div>
+<div class="line"><a name="l00190"></a><span class="lineno"> 190</span>  <span class="keywordflow">if</span> ((start_row_ind == end_row_ind)</div>
+<div class="line"><a name="l00191"></a><span class="lineno"> 191</span>  & (start_col_ind == end_col_ind)) {</div>
+<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>  </div>
+<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>  printf(<span class="stringliteral">"{%3.4f}"</span>, matrix[start_row_ind][start_col_ind]);</div>
+<div class="line"><a name="l00194"></a><span class="lineno"> 194</span>  }</div>
+<div class="line"><a name="l00195"></a><span class="lineno"> 195</span>  <span class="comment">// print row vector of the matrix</span></div>
+<div class="line"><a name="l00196"></a><span class="lineno"> 196</span>  <span class="keywordflow">else</span> <span class="keywordflow">if</span> (start_row_ind == end_row_ind) {</div>
+<div class="line"><a name="l00197"></a><span class="lineno"> 197</span>  printf(<span class="stringliteral">"{"</span>);</div>
+<div class="line"><a name="l00198"></a><span class="lineno"> 198</span>  <span class="keywordflow">for</span> (j = start_col_ind; j <= end_col_ind; j++) {</div>
+<div class="line"><a name="l00199"></a><span class="lineno"> 199</span>  printf(<span class="stringliteral">"%3.4f"</span>, matrix[start_row_ind][j]);</div>
+<div class="line"><a name="l00200"></a><span class="lineno"> 200</span>  <span class="keywordflow">if</span> (j < end_col_ind) {</div>
+<div class="line"><a name="l00201"></a><span class="lineno"> 201</span>  printf(<span class="stringliteral">", "</span>);</div>
+<div class="line"><a name="l00202"></a><span class="lineno"> 202</span>  }</div>
+<div class="line"><a name="l00203"></a><span class="lineno"> 203</span>  }</div>
+<div class="line"><a name="l00204"></a><span class="lineno"> 204</span>  printf(<span class="stringliteral">"}"</span>);</div>
+<div class="line"><a name="l00205"></a><span class="lineno"> 205</span>  }</div>
+<div class="line"><a name="l00206"></a><span class="lineno"> 206</span>  <span class="comment">// print column vector of the matrix</span></div>
+<div class="line"><a name="l00207"></a><span class="lineno"> 207</span>  <span class="keywordflow">else</span> <span class="keywordflow">if</span> (start_col_ind == end_col_ind) {</div>
+<div class="line"><a name="l00208"></a><span class="lineno"> 208</span>  puts(<span class="stringliteral">"{"</span>);</div>
+<div class="line"><a name="l00209"></a><span class="lineno"> 209</span>  <span class="keywordflow">for</span> (i = start_row_ind; i <= end_row_ind; i++) {</div>
+<div class="line"><a name="l00210"></a><span class="lineno"> 210</span>  printf(<span class="stringliteral">"%3.4f"</span>, matrix[i][start_col_ind]);</div>
+<div class="line"><a name="l00211"></a><span class="lineno"> 211</span>  <span class="keywordflow">if</span> (i < end_row_ind) {</div>
+<div class="line"><a name="l00212"></a><span class="lineno"> 212</span>  printf(<span class="stringliteral">",\n"</span>);</div>
+<div class="line"><a name="l00213"></a><span class="lineno"> 213</span>  }</div>
+<div class="line"><a name="l00214"></a><span class="lineno"> 214</span>  }</div>
+<div class="line"><a name="l00215"></a><span class="lineno"> 215</span>  printf(<span class="stringliteral">"}"</span>);</div>
+<div class="line"><a name="l00216"></a><span class="lineno"> 216</span>  }</div>
+<div class="line"><a name="l00217"></a><span class="lineno"> 217</span>  }</div>
+<div class="line"><a name="l00218"></a><span class="lineno"> 218</span> }</div>
+<div class="line"><a name="l00219"></a><span class="lineno"> 219</span>  </div>
+<div class="line"><a name="l00220"></a><span class="lineno"><a class="line" href="matrix_8c.html#ad386233d68c73656a03641ddf3ecaaf2"> 220</a></span> <span class="keywordtype">void</span> <a class="code" href="matrix_8c.html#ad386233d68c73656a03641ddf3ecaaf2">matrix_flex_print</a>(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[m][n],</div>
+<div class="line"><a name="l00221"></a><span class="lineno"> 221</span>  uint8_t before_dot, uint8_t after_dot)</div>
+<div class="line"><a name="l00222"></a><span class="lineno"> 222</span> {</div>
+<div class="line"><a name="l00223"></a><span class="lineno"> 223</span>  uint16_t i, j;</div>
+<div class="line"><a name="l00224"></a><span class="lineno"> 224</span>  <span class="keywordtype">char</span> format_str_buff[13];</div>
+<div class="line"><a name="l00225"></a><span class="lineno"> 225</span>  </div>
+<div class="line"><a name="l00226"></a><span class="lineno"> 226</span>  sprintf(format_str_buff, <span class="stringliteral">"%%%u.%uf"</span>, before_dot, after_dot);</div>
+<div class="line"><a name="l00227"></a><span class="lineno"> 227</span>  </div>
+<div class="line"><a name="l00228"></a><span class="lineno"> 228</span>  puts(<span class="stringliteral">"{"</span>);</div>
+<div class="line"><a name="l00229"></a><span class="lineno"> 229</span>  <span class="keywordflow">for</span> (i = 0; i < m; i++) {</div>
+<div class="line"><a name="l00230"></a><span class="lineno"> 230</span>  printf(<span class="stringliteral">"%11s"</span>, <span class="stringliteral">"{"</span>);</div>
+<div class="line"><a name="l00231"></a><span class="lineno"> 231</span>  <span class="keywordflow">for</span> (j = 0; j < n; j++) {</div>
+<div class="line"><a name="l00232"></a><span class="lineno"> 232</span>  <a class="code" href="utils_8h.html#a335d8d6c4b945638261228cd116cccd6">utils_printf</a>(format_str_buff, matrix[i][j]);</div>
+<div class="line"><a name="l00233"></a><span class="lineno"> 233</span>  <span class="keywordflow">if</span> (j < n - 1) {</div>
+<div class="line"><a name="l00234"></a><span class="lineno"> 234</span>  printf(<span class="stringliteral">", "</span>);</div>
+<div class="line"><a name="l00235"></a><span class="lineno"> 235</span>  }</div>
+<div class="line"><a name="l00236"></a><span class="lineno"> 236</span>  }</div>
+<div class="line"><a name="l00237"></a><span class="lineno"> 237</span>  printf(<span class="stringliteral">"}"</span>);</div>
+<div class="line"><a name="l00238"></a><span class="lineno"> 238</span>  <span class="keywordflow">if</span> (i < m - 1) {</div>
+<div class="line"><a name="l00239"></a><span class="lineno"> 239</span>  printf(<span class="stringliteral">", "</span>);</div>
+<div class="line"><a name="l00240"></a><span class="lineno"> 240</span>  }</div>
+<div class="line"><a name="l00241"></a><span class="lineno"> 241</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00242"></a><span class="lineno"> 242</span>  }</div>
+<div class="line"><a name="l00243"></a><span class="lineno"> 243</span>  printf(<span class="stringliteral">"%7s\n"</span>, <span class="stringliteral">"};"</span>);</div>
+<div class="line"><a name="l00244"></a><span class="lineno"> 244</span> }</div>
+<div class="line"><a name="l00245"></a><span class="lineno"> 245</span>  </div>
+<div class="line"><a name="l00246"></a><span class="lineno"> 246</span>  </div>
+<div class="line"><a name="l00247"></a><span class="lineno"><a class="line" href="matrix_8c.html#a72297a60e572f85929989e813388a9c5"> 247</a></span> <span class="keywordtype">void</span> <a class="code" href="matrix_8c.html#a72297a60e572f85929989e813388a9c5">matrix_flex_part_print</a>(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[m][n],</div>
+<div class="line"><a name="l00248"></a><span class="lineno"> 248</span>  uint8_t start_row_ind, uint8_t end_row_ind,</div>
+<div class="line"><a name="l00249"></a><span class="lineno"> 249</span>  uint8_t start_col_ind, uint8_t end_col_ind,</div>
+<div class="line"><a name="l00250"></a><span class="lineno"> 250</span>  uint8_t before_dot, uint8_t after_dot)</div>
+<div class="line"><a name="l00251"></a><span class="lineno"> 251</span> {</div>
+<div class="line"><a name="l00252"></a><span class="lineno"> 252</span>  int16_t i, j;</div>
+<div class="line"><a name="l00253"></a><span class="lineno"> 253</span>  <span class="keywordtype">char</span> format_str_buff[13];</div>
+<div class="line"><a name="l00254"></a><span class="lineno"> 254</span>  </div>
+<div class="line"><a name="l00255"></a><span class="lineno"> 255</span>  sprintf(format_str_buff, <span class="stringliteral">"%%%u.%uf"</span>, before_dot, after_dot);</div>
+<div class="line"><a name="l00256"></a><span class="lineno"> 256</span>  </div>
+<div class="line"><a name="l00257"></a><span class="lineno"> 257</span>  <span class="keywordflow">if</span> ((end_row_ind > start_row_ind) && (end_col_ind > start_col_ind)) {</div>
+<div class="line"><a name="l00258"></a><span class="lineno"> 258</span>  puts(<span class="stringliteral">"{"</span>);</div>
+<div class="line"><a name="l00259"></a><span class="lineno"> 259</span>  <span class="keywordflow">for</span> (i = start_row_ind; i <= end_row_ind; i++) {</div>
+<div class="line"><a name="l00260"></a><span class="lineno"> 260</span>  printf(<span class="stringliteral">"%11s"</span>, <span class="stringliteral">"{"</span>);</div>
+<div class="line"><a name="l00261"></a><span class="lineno"> 261</span>  <span class="keywordflow">for</span> (j = start_col_ind; j <= end_col_ind; j++) {</div>
+<div class="line"><a name="l00262"></a><span class="lineno"> 262</span>  <a class="code" href="utils_8h.html#a335d8d6c4b945638261228cd116cccd6">utils_printf</a>(format_str_buff, matrix[i][j]);</div>
+<div class="line"><a name="l00263"></a><span class="lineno"> 263</span>  <span class="keywordflow">if</span> (j < end_col_ind) {</div>
+<div class="line"><a name="l00264"></a><span class="lineno"> 264</span>  printf(<span class="stringliteral">", "</span>);</div>
+<div class="line"><a name="l00265"></a><span class="lineno"> 265</span>  }</div>
+<div class="line"><a name="l00266"></a><span class="lineno"> 266</span>  }</div>
+<div class="line"><a name="l00267"></a><span class="lineno"> 267</span>  printf(<span class="stringliteral">"}"</span>);</div>
+<div class="line"><a name="l00268"></a><span class="lineno"> 268</span>  <span class="keywordflow">if</span> (i < end_row_ind) {</div>
+<div class="line"><a name="l00269"></a><span class="lineno"> 269</span>  printf(<span class="stringliteral">", "</span>);</div>
+<div class="line"><a name="l00270"></a><span class="lineno"> 270</span>  }</div>
+<div class="line"><a name="l00271"></a><span class="lineno"> 271</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00272"></a><span class="lineno"> 272</span>  }</div>
+<div class="line"><a name="l00273"></a><span class="lineno"> 273</span>  printf(<span class="stringliteral">"%11s\n"</span>, <span class="stringliteral">"};"</span>);</div>
+<div class="line"><a name="l00274"></a><span class="lineno"> 274</span>  }</div>
+<div class="line"><a name="l00275"></a><span class="lineno"> 275</span>  <span class="keywordflow">else</span> {</div>
+<div class="line"><a name="l00276"></a><span class="lineno"> 276</span>  <span class="comment">//print only one element of the matrix</span></div>
+<div class="line"><a name="l00277"></a><span class="lineno"> 277</span>  <span class="keywordflow">if</span> ((start_row_ind == end_row_ind)</div>
+<div class="line"><a name="l00278"></a><span class="lineno"> 278</span>  & (start_col_ind == end_col_ind)) {</div>
+<div class="line"><a name="l00279"></a><span class="lineno"> 279</span>  printf(<span class="stringliteral">"{"</span>);</div>
+<div class="line"><a name="l00280"></a><span class="lineno"> 280</span>  <a class="code" href="utils_8h.html#a335d8d6c4b945638261228cd116cccd6">utils_printf</a>(format_str_buff,</div>
+<div class="line"><a name="l00281"></a><span class="lineno"> 281</span>  matrix[start_row_ind][start_col_ind]);</div>
+<div class="line"><a name="l00282"></a><span class="lineno"> 282</span>  printf(<span class="stringliteral">"}"</span>);</div>
+<div class="line"><a name="l00283"></a><span class="lineno"> 283</span>  }</div>
+<div class="line"><a name="l00284"></a><span class="lineno"> 284</span>  <span class="comment">// print row vector of the matrix</span></div>
+<div class="line"><a name="l00285"></a><span class="lineno"> 285</span>  <span class="keywordflow">else</span> <span class="keywordflow">if</span> (start_row_ind == end_row_ind) {</div>
+<div class="line"><a name="l00286"></a><span class="lineno"> 286</span>  printf(<span class="stringliteral">"{"</span>);</div>
+<div class="line"><a name="l00287"></a><span class="lineno"> 287</span>  <span class="keywordflow">for</span> (j = start_col_ind; j <= end_col_ind; j++) {</div>
+<div class="line"><a name="l00288"></a><span class="lineno"> 288</span>  <a class="code" href="utils_8h.html#a335d8d6c4b945638261228cd116cccd6">utils_printf</a>(format_str_buff,</div>
+<div class="line"><a name="l00289"></a><span class="lineno"> 289</span>  matrix[start_row_ind][j]);</div>
+<div class="line"><a name="l00290"></a><span class="lineno"> 290</span>  <span class="keywordflow">if</span> (j < end_col_ind) {</div>
+<div class="line"><a name="l00291"></a><span class="lineno"> 291</span>  printf(<span class="stringliteral">", "</span>);</div>
+<div class="line"><a name="l00292"></a><span class="lineno"> 292</span>  }</div>
+<div class="line"><a name="l00293"></a><span class="lineno"> 293</span>  }</div>
+<div class="line"><a name="l00294"></a><span class="lineno"> 294</span>  printf(<span class="stringliteral">"}"</span>);</div>
+<div class="line"><a name="l00295"></a><span class="lineno"> 295</span>  }</div>
+<div class="line"><a name="l00296"></a><span class="lineno"> 296</span>  <span class="comment">// print column vector of the matrix</span></div>
+<div class="line"><a name="l00297"></a><span class="lineno"> 297</span>  <span class="keywordflow">else</span> <span class="keywordflow">if</span> (start_col_ind == end_col_ind) {</div>
+<div class="line"><a name="l00298"></a><span class="lineno"> 298</span>  puts(<span class="stringliteral">"{"</span>);</div>
+<div class="line"><a name="l00299"></a><span class="lineno"> 299</span>  <span class="keywordflow">for</span> (i = start_row_ind; i <= end_row_ind; i++) {</div>
+<div class="line"><a name="l00300"></a><span class="lineno"> 300</span>  <a class="code" href="utils_8h.html#a335d8d6c4b945638261228cd116cccd6">utils_printf</a>(format_str_buff,</div>
+<div class="line"><a name="l00301"></a><span class="lineno"> 301</span>  matrix[i][start_col_ind]);</div>
+<div class="line"><a name="l00302"></a><span class="lineno"> 302</span>  <span class="keywordflow">if</span> (i < end_row_ind) {</div>
+<div class="line"><a name="l00303"></a><span class="lineno"> 303</span>  printf(<span class="stringliteral">",\n"</span>);</div>
+<div class="line"><a name="l00304"></a><span class="lineno"> 304</span>  }</div>
+<div class="line"><a name="l00305"></a><span class="lineno"> 305</span>  }</div>
+<div class="line"><a name="l00306"></a><span class="lineno"> 306</span>  printf(<span class="stringliteral">"}"</span>);</div>
+<div class="line"><a name="l00307"></a><span class="lineno"> 307</span>  }</div>
+<div class="line"><a name="l00308"></a><span class="lineno"> 308</span>  }</div>
+<div class="line"><a name="l00309"></a><span class="lineno"> 309</span> }</div>
+<div class="line"><a name="l00310"></a><span class="lineno"> 310</span>  </div>
+<div class="line"><a name="l00311"></a><span class="lineno"> 311</span>  </div>
+<div class="line"><a name="l00312"></a><span class="lineno"><a class="line" href="matrix_8c.html#a53879e7c4cfbc96725aef9f8234be7dd"> 312</a></span> uint8_t <a class="code" href="matrix_8c.html#a53879e7c4cfbc96725aef9f8234be7dd">matrix_get_rank</a>(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> singl_values_arr[],</div>
+<div class="line"><a name="l00313"></a><span class="lineno"> 313</span>  uint8_t length)</div>
+<div class="line"><a name="l00314"></a><span class="lineno"> 314</span> {</div>
+<div class="line"><a name="l00315"></a><span class="lineno"> 315</span>  uint8_t rank = 0;</div>
+<div class="line"><a name="l00316"></a><span class="lineno"> 316</span>  <span class="keywordtype">int</span> i;</div>
+<div class="line"><a name="l00317"></a><span class="lineno"> 317</span>  <span class="keywordtype">double</span> eps = pow(2.0, -52.0);</div>
+<div class="line"><a name="l00318"></a><span class="lineno"> 318</span>  <span class="keywordtype">double</span> tol = max(m, n) * singl_values_arr[0] * eps;</div>
+<div class="line"><a name="l00319"></a><span class="lineno"> 319</span>  </div>
+<div class="line"><a name="l00320"></a><span class="lineno"> 320</span>  <span class="keywordflow">for</span> (i = 0; i < length; i++) {</div>
+<div class="line"><a name="l00321"></a><span class="lineno"> 321</span>  <span class="keywordflow">if</span> (singl_values_arr[i] > tol) {</div>
+<div class="line"><a name="l00322"></a><span class="lineno"> 322</span>  rank++;</div>
+<div class="line"><a name="l00323"></a><span class="lineno"> 323</span>  }</div>
+<div class="line"><a name="l00324"></a><span class="lineno"> 324</span>  }</div>
+<div class="line"><a name="l00325"></a><span class="lineno"> 325</span>  </div>
+<div class="line"><a name="l00326"></a><span class="lineno"> 326</span>  <span class="keywordflow">return</span> rank;</div>
+<div class="line"><a name="l00327"></a><span class="lineno"> 327</span> }</div>
+<div class="line"><a name="l00328"></a><span class="lineno"> 328</span>  </div>
+<div class="line"><a name="l00329"></a><span class="lineno"><a class="line" href="matrix_8c.html#aed6fab1ffa40243eeb08117215082be3"> 329</a></span> <span class="keywordtype">void</span> <a class="code" href="matrix_8c.html#aed6fab1ffa40243eeb08117215082be3">matrix_sub</a>(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[m][n], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> B[m][n],</div>
+<div class="line"><a name="l00330"></a><span class="lineno"> 330</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A_minus_B[m][n])</div>
+<div class="line"><a name="l00331"></a><span class="lineno"> 331</span> {</div>
+<div class="line"><a name="l00332"></a><span class="lineno"> 332</span>  uint8_t i, j;</div>
+<div class="line"><a name="l00333"></a><span class="lineno"> 333</span>  </div>
+<div class="line"><a name="l00334"></a><span class="lineno"> 334</span>  <span class="keywordflow">for</span> (i = 0; i < m; i++) {</div>
+<div class="line"><a name="l00335"></a><span class="lineno"> 335</span>  <span class="keywordflow">for</span> (j = 0; j < n; j++) {</div>
+<div class="line"><a name="l00336"></a><span class="lineno"> 336</span>  A_minus_B[i][j] = A[i][j] - B[i][j];</div>
+<div class="line"><a name="l00337"></a><span class="lineno"> 337</span>  }</div>
+<div class="line"><a name="l00338"></a><span class="lineno"> 338</span>  }</div>
+<div class="line"><a name="l00339"></a><span class="lineno"> 339</span> }</div>
+<div class="line"><a name="l00340"></a><span class="lineno"> 340</span>  </div>
+<div class="line"><a name="l00341"></a><span class="lineno"><a class="line" href="matrix_8c.html#ac7101bbaa3a2698658276a7e21501093"> 341</a></span> <span class="keywordtype">void</span> <a class="code" href="matrix_8c.html#ac7101bbaa3a2698658276a7e21501093">matrix_add</a>(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[m][n], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> B[m][n],</div>
+<div class="line"><a name="l00342"></a><span class="lineno"> 342</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A_plus_B[m][n])</div>
+<div class="line"><a name="l00343"></a><span class="lineno"> 343</span> {</div>
+<div class="line"><a name="l00344"></a><span class="lineno"> 344</span>  uint8_t i, j;</div>
+<div class="line"><a name="l00345"></a><span class="lineno"> 345</span>  </div>
+<div class="line"><a name="l00346"></a><span class="lineno"> 346</span>  <span class="keywordflow">for</span> (i = 0; i < m; i++) {</div>
+<div class="line"><a name="l00347"></a><span class="lineno"> 347</span>  <span class="keywordflow">for</span> (j = 0; j < n; j++) {</div>
+<div class="line"><a name="l00348"></a><span class="lineno"> 348</span>  A_plus_B[i][j] = A[i][j] + B[i][j];</div>
+<div class="line"><a name="l00349"></a><span class="lineno"> 349</span>  }</div>
+<div class="line"><a name="l00350"></a><span class="lineno"> 350</span>  }</div>
+<div class="line"><a name="l00351"></a><span class="lineno"> 351</span> }</div>
+<div class="line"><a name="l00352"></a><span class="lineno"> 352</span>  </div>
+<div class="line"><a name="l00353"></a><span class="lineno"><a class="line" href="matrix_8c.html#aa8acafd4181978f536976f8151e51516"> 353</a></span> <span class="keywordtype">void</span> <a class="code" href="matrix_8c.html#aa8acafd4181978f536976f8151e51516">matrix_add_to_diag</a>(uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[][n], uint8_t diag_el_num,</div>
+<div class="line"><a name="l00354"></a><span class="lineno"> 354</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> value)</div>
+<div class="line"><a name="l00355"></a><span class="lineno"> 355</span> {</div>
+<div class="line"><a name="l00356"></a><span class="lineno"> 356</span>  uint8_t i;</div>
+<div class="line"><a name="l00357"></a><span class="lineno"> 357</span>  </div>
+<div class="line"><a name="l00358"></a><span class="lineno"> 358</span>  <span class="keywordflow">for</span> (i = 0; i < diag_el_num; i++) {</div>
+<div class="line"><a name="l00359"></a><span class="lineno"> 359</span>  A[i][i] += value;</div>
+<div class="line"><a name="l00360"></a><span class="lineno"> 360</span>  }</div>
+<div class="line"><a name="l00361"></a><span class="lineno"> 361</span> }</div>
+<div class="line"><a name="l00362"></a><span class="lineno"> 362</span>  </div>
+<div class="line"><a name="l00363"></a><span class="lineno"><a class="line" href="matrix_8c.html#a550aa0d5a3212e35ad0af134895fd20a"> 363</a></span> <span class="keywordtype">void</span> <a class="code" href="matrix_8c.html#a550aa0d5a3212e35ad0af134895fd20a">matrix_mul</a>(uint8_t a_line_num, uint8_t a_col_num,</div>
+<div class="line"><a name="l00364"></a><span class="lineno"> 364</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> a_matrix[a_line_num][a_col_num],</div>
+<div class="line"><a name="l00365"></a><span class="lineno"> 365</span>  uint8_t b_line_num, uint8_t b_col_num,</div>
+<div class="line"><a name="l00366"></a><span class="lineno"> 366</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> b_matrix[b_line_num][b_col_num],</div>
+<div class="line"><a name="l00367"></a><span class="lineno"> 367</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> dest_matrix[a_line_num][b_col_num])</div>
+<div class="line"><a name="l00368"></a><span class="lineno"> 368</span> {</div>
+<div class="line"><a name="l00369"></a><span class="lineno"> 369</span>  </div>
+<div class="line"><a name="l00370"></a><span class="lineno"> 370</span>  <span class="keywordtype">int</span> i, j, k;</div>
+<div class="line"><a name="l00371"></a><span class="lineno"> 371</span>  </div>
+<div class="line"><a name="l00372"></a><span class="lineno"> 372</span>  <span class="keywordflow">if</span> (a_col_num != b_line_num) {</div>
+<div class="line"><a name="l00373"></a><span class="lineno"> 373</span>  puts(</div>
+<div class="line"><a name="l00374"></a><span class="lineno"> 374</span>  <span class="stringliteral">"the first matrix column number must be equal with the line number"</span></div>
+<div class="line"><a name="l00375"></a><span class="lineno"> 375</span>  <span class="stringliteral">" of the second matrix !!!"</span>);</div>
+<div class="line"><a name="l00376"></a><span class="lineno"> 376</span>  }</div>
+<div class="line"><a name="l00377"></a><span class="lineno"> 377</span>  <span class="keywordflow">else</span> {</div>
+<div class="line"><a name="l00378"></a><span class="lineno"> 378</span>  </div>
+<div class="line"><a name="l00379"></a><span class="lineno"> 379</span>  <span class="keywordflow">for</span> (i = 0; i < a_line_num; i++) {</div>
+<div class="line"><a name="l00380"></a><span class="lineno"> 380</span>  <span class="keywordflow">for</span> (j = 0; j < b_col_num; j++) {</div>
+<div class="line"><a name="l00381"></a><span class="lineno"> 381</span>  dest_matrix[i][j] = 0;</div>
+<div class="line"><a name="l00382"></a><span class="lineno"> 382</span>  <span class="keywordflow">for</span> (k = 0; k < b_line_num; k++) {</div>
+<div class="line"><a name="l00383"></a><span class="lineno"> 383</span>  dest_matrix[i][j] += a_matrix[i][k]</div>
+<div class="line"><a name="l00384"></a><span class="lineno"> 384</span>  * b_matrix[k][j];</div>
+<div class="line"><a name="l00385"></a><span class="lineno"> 385</span>  }</div>
+<div class="line"><a name="l00386"></a><span class="lineno"> 386</span>  }</div>
+<div class="line"><a name="l00387"></a><span class="lineno"> 387</span>  }</div>
+<div class="line"><a name="l00388"></a><span class="lineno"> 388</span>  }</div>
+<div class="line"><a name="l00389"></a><span class="lineno"> 389</span> }</div>
+<div class="line"><a name="l00390"></a><span class="lineno"> 390</span>  </div>
+<div class="line"><a name="l00391"></a><span class="lineno"><a class="line" href="matrix_8c.html#a3763252ca00e4c8522ae1bfd5ef40f0a"> 391</a></span> <span class="keywordtype">void</span> <a class="code" href="matrix_8c.html#a3763252ca00e4c8522ae1bfd5ef40f0a">matrix_part_mul</a>(uint8_t a_col_num_max, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> a_matrix[][a_col_num_max],</div>
+<div class="line"><a name="l00392"></a><span class="lineno"> 392</span>  uint8_t b_col_num_max, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> b_matrix[][b_col_num_max],</div>
+<div class="line"><a name="l00393"></a><span class="lineno"> 393</span>  uint8_t a_start_row_ind, uint8_t a_end_row_ind,</div>
+<div class="line"><a name="l00394"></a><span class="lineno"> 394</span>  uint8_t a_start_col_ind, uint8_t a_end_col_ind,</div>
+<div class="line"><a name="l00395"></a><span class="lineno"> 395</span>  uint8_t b_start_row_ind, uint8_t b_end_row_ind,</div>
+<div class="line"><a name="l00396"></a><span class="lineno"> 396</span>  uint8_t b_start_col_ind, uint8_t b_end_col_ind,</div>
+<div class="line"><a name="l00397"></a><span class="lineno"> 397</span>  uint8_t dest_col_size,</div>
+<div class="line"><a name="l00398"></a><span class="lineno"> 398</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> dest_matrix[][dest_col_size])</div>
+<div class="line"><a name="l00399"></a><span class="lineno"> 399</span> {</div>
+<div class="line"><a name="l00400"></a><span class="lineno"> 400</span>  uint8_t a_line_num;</div>
+<div class="line"><a name="l00401"></a><span class="lineno"> 401</span>  uint8_t b_col_num;</div>
+<div class="line"><a name="l00402"></a><span class="lineno"> 402</span>  uint8_t b_line_num;</div>
+<div class="line"><a name="l00403"></a><span class="lineno"> 403</span>  </div>
+<div class="line"><a name="l00404"></a><span class="lineno"> 404</span>  <span class="keywordflow">if</span> ((a_end_col_ind - a_start_col_ind)</div>
+<div class="line"><a name="l00405"></a><span class="lineno"> 405</span>  != (b_end_row_ind - b_start_row_ind)) {</div>
+<div class="line"><a name="l00406"></a><span class="lineno"> 406</span>  puts(</div>
+<div class="line"><a name="l00407"></a><span class="lineno"> 407</span>  <span class="stringliteral">"the first matrix column number must be equal with the line number"</span></div>
+<div class="line"><a name="l00408"></a><span class="lineno"> 408</span>  <span class="stringliteral">" of the second matrix !!!"</span>);</div>
+<div class="line"><a name="l00409"></a><span class="lineno"> 409</span>  }</div>
+<div class="line"><a name="l00410"></a><span class="lineno"> 410</span>  <span class="keywordflow">else</span> {</div>
+<div class="line"><a name="l00411"></a><span class="lineno"> 411</span>  </div>
+<div class="line"><a name="l00412"></a><span class="lineno"> 412</span>  a_line_num = a_end_row_ind - a_start_row_ind + 1;</div>
+<div class="line"><a name="l00413"></a><span class="lineno"> 413</span>  b_line_num = b_end_row_ind - b_start_row_ind + 1;</div>
+<div class="line"><a name="l00414"></a><span class="lineno"> 414</span>  b_col_num = b_end_col_ind - b_start_col_ind + 1;</div>
+<div class="line"><a name="l00415"></a><span class="lineno"> 415</span>  </div>
+<div class="line"><a name="l00416"></a><span class="lineno"> 416</span>  <span class="keywordflow">for</span> (uint8_t i = 0; i < a_line_num; i++) {</div>
+<div class="line"><a name="l00417"></a><span class="lineno"> 417</span>  <span class="keywordflow">for</span> (uint8_t j = 0; j < b_col_num; j++) {</div>
+<div class="line"><a name="l00418"></a><span class="lineno"> 418</span>  dest_matrix[i][j] = 0;</div>
+<div class="line"><a name="l00419"></a><span class="lineno"> 419</span>  <span class="keywordflow">for</span> (uint8_t k = 0; k < b_line_num; k++) {</div>
+<div class="line"><a name="l00420"></a><span class="lineno"> 420</span>  dest_matrix[i][j] +=</div>
+<div class="line"><a name="l00421"></a><span class="lineno"> 421</span>  a_matrix[i</div>
+<div class="line"><a name="l00422"></a><span class="lineno"> 422</span>  + a_start_row_ind][k</div>
+<div class="line"><a name="l00423"></a><span class="lineno"> 423</span>  + a_start_col_ind]</div>
+<div class="line"><a name="l00424"></a><span class="lineno"> 424</span>  * b_matrix[k</div>
+<div class="line"><a name="l00425"></a><span class="lineno"> 425</span>  + b_start_row_ind][j</div>
+<div class="line"><a name="l00426"></a><span class="lineno"> 426</span>  + b_start_col_ind];</div>
+<div class="line"><a name="l00427"></a><span class="lineno"> 427</span>  }</div>
+<div class="line"><a name="l00428"></a><span class="lineno"> 428</span>  }</div>
+<div class="line"><a name="l00429"></a><span class="lineno"> 429</span>  }</div>
+<div class="line"><a name="l00430"></a><span class="lineno"> 430</span>  }</div>
+<div class="line"><a name="l00431"></a><span class="lineno"> 431</span> }</div>
+<div class="line"><a name="l00432"></a><span class="lineno"> 432</span>  </div>
+<div class="line"><a name="l00433"></a><span class="lineno"> 433</span>  </div>
+<div class="line"><a name="l00434"></a><span class="lineno"><a class="line" href="matrix_8c.html#ad610bcce232c69ca302550f57b1ad9fb"> 434</a></span> <span class="keywordtype">void</span> <a class="code" href="matrix_8c.html#ad610bcce232c69ca302550f57b1ad9fb">matrix_mul_vec</a>(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[m][n],</div>
+<div class="line"><a name="l00435"></a><span class="lineno"> 435</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> vec[n], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> dst_arr[m])</div>
+<div class="line"><a name="l00436"></a><span class="lineno"> 436</span> {</div>
+<div class="line"><a name="l00437"></a><span class="lineno"> 437</span>  </div>
+<div class="line"><a name="l00438"></a><span class="lineno"> 438</span>  uint8_t i, j;</div>
+<div class="line"><a name="l00439"></a><span class="lineno"> 439</span>  </div>
+<div class="line"><a name="l00440"></a><span class="lineno"> 440</span>  <span class="keywordflow">if</span> (vec != dst_arr) {</div>
+<div class="line"><a name="l00441"></a><span class="lineno"> 441</span>  memset(dst_arr, 0, m * <span class="keyword">sizeof</span>(<a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a>));</div>
+<div class="line"><a name="l00442"></a><span class="lineno"> 442</span>  }</div>
+<div class="line"><a name="l00443"></a><span class="lineno"> 443</span>  </div>
+<div class="line"><a name="l00444"></a><span class="lineno"> 444</span>  <span class="keywordflow">for</span> (i = 0; i < m; i++) {</div>
+<div class="line"><a name="l00445"></a><span class="lineno"> 445</span>  <span class="keywordflow">for</span> (j = 0; j < n; j++) {</div>
+<div class="line"><a name="l00446"></a><span class="lineno"> 446</span>  dst_arr[i] += matrix[i][j] * vec[j];</div>
+<div class="line"><a name="l00447"></a><span class="lineno"> 447</span>  }</div>
+<div class="line"><a name="l00448"></a><span class="lineno"> 448</span>  }</div>
+<div class="line"><a name="l00449"></a><span class="lineno"> 449</span> }</div>
+<div class="line"><a name="l00450"></a><span class="lineno"> 450</span>  </div>
+<div class="line"><a name="l00451"></a><span class="lineno"> 451</span>  </div>
+<div class="line"><a name="l00452"></a><span class="lineno"><a class="line" href="matrix_8c.html#a3cf18a2c5c6ad62a4e0a0c00d27e2887"> 452</a></span> <span class="keywordtype">void</span> <a class="code" href="matrix_8c.html#a3cf18a2c5c6ad62a4e0a0c00d27e2887">matrix_vec_mul_matr</a>(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> vec[m],</div>
+<div class="line"><a name="l00453"></a><span class="lineno"> 453</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[m][n], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> dst_arr[n])</div>
+<div class="line"><a name="l00454"></a><span class="lineno"> 454</span> {</div>
+<div class="line"><a name="l00455"></a><span class="lineno"> 455</span>  uint8_t i, j;</div>
+<div class="line"><a name="l00456"></a><span class="lineno"> 456</span>  </div>
+<div class="line"><a name="l00457"></a><span class="lineno"> 457</span>  <span class="comment">//Make sense ?</span></div>
+<div class="line"><a name="l00458"></a><span class="lineno"> 458</span>  <span class="keywordflow">if</span> (vec != dst_arr) {</div>
+<div class="line"><a name="l00459"></a><span class="lineno"> 459</span>  memset(dst_arr, 0, n * <span class="keyword">sizeof</span>(<a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a>));</div>
+<div class="line"><a name="l00460"></a><span class="lineno"> 460</span>  }</div>
+<div class="line"><a name="l00461"></a><span class="lineno"> 461</span>  </div>
+<div class="line"><a name="l00462"></a><span class="lineno"> 462</span>  <span class="keywordflow">for</span> (i = 0; i < n; i++) { <span class="comment">//column</span></div>
+<div class="line"><a name="l00463"></a><span class="lineno"> 463</span>  <span class="keywordflow">for</span> (j = 0; j < m; j++) { <span class="comment">//rows</span></div>
+<div class="line"><a name="l00464"></a><span class="lineno"> 464</span>  dst_arr[i] += vec[j] * matrix[j][i];</div>
+<div class="line"><a name="l00465"></a><span class="lineno"> 465</span>  }</div>
+<div class="line"><a name="l00466"></a><span class="lineno"> 466</span>  }</div>
+<div class="line"><a name="l00467"></a><span class="lineno"> 467</span> }</div>
+<div class="line"><a name="l00468"></a><span class="lineno"> 468</span>  </div>
+<div class="line"><a name="l00469"></a><span class="lineno"> 469</span>  </div>
+<div class="line"><a name="l00470"></a><span class="lineno"><a class="line" href="matrix_8c.html#ac735d13efe5b76ecf60ac13ec79da8e3"> 470</a></span> <span class="keywordtype">void</span> <a class="code" href="matrix_8c.html#ac735d13efe5b76ecf60ac13ec79da8e3">matrix_mul_scalar_vec_matr</a>(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> scalar,</div>
+<div class="line"><a name="l00471"></a><span class="lineno"> 471</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> vec[m], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[m][n],</div>
+<div class="line"><a name="l00472"></a><span class="lineno"> 472</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> dst_arr[n])</div>
+<div class="line"><a name="l00473"></a><span class="lineno"> 473</span> {</div>
+<div class="line"><a name="l00474"></a><span class="lineno"> 474</span>  uint8_t i, j;</div>
+<div class="line"><a name="l00475"></a><span class="lineno"> 475</span>  </div>
+<div class="line"><a name="l00476"></a><span class="lineno"> 476</span>  <span class="comment">//Make sense ?</span></div>
+<div class="line"><a name="l00477"></a><span class="lineno"> 477</span>  <span class="keywordflow">if</span> (vec != dst_arr) {</div>
+<div class="line"><a name="l00478"></a><span class="lineno"> 478</span>  memset(dst_arr, 0, n * <span class="keyword">sizeof</span>(<a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a>));</div>
+<div class="line"><a name="l00479"></a><span class="lineno"> 479</span>  }</div>
+<div class="line"><a name="l00480"></a><span class="lineno"> 480</span>  </div>
+<div class="line"><a name="l00481"></a><span class="lineno"> 481</span>  <span class="keywordflow">for</span> (i = 0; i < n; i++) { <span class="comment">//column</span></div>
+<div class="line"><a name="l00482"></a><span class="lineno"> 482</span>  <span class="keywordflow">for</span> (j = 0; j < m; j++) { <span class="comment">//rows</span></div>
+<div class="line"><a name="l00483"></a><span class="lineno"> 483</span>  dst_arr[i] += scalar * vec[j] * matrix[j][i];</div>
+<div class="line"><a name="l00484"></a><span class="lineno"> 484</span>  }</div>
+<div class="line"><a name="l00485"></a><span class="lineno"> 485</span>  }</div>
+<div class="line"><a name="l00486"></a><span class="lineno"> 486</span> }</div>
+<div class="line"><a name="l00487"></a><span class="lineno"> 487</span>  </div>
+<div class="line"><a name="l00488"></a><span class="lineno"> 488</span>  </div>
+<div class="line"><a name="l00489"></a><span class="lineno"><a class="line" href="matrix_8c.html#a06f75ae4924e3f0dfd0b6a25313dc731"> 489</a></span> <span class="keywordtype">void</span> <a class="code" href="matrix_8c.html#a06f75ae4924e3f0dfd0b6a25313dc731">matrix_part_mul_scalar_vec_matr</a>(uint8_t max_m, uint8_t max_n,</div>
+<div class="line"><a name="l00490"></a><span class="lineno"> 490</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> scalar, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> vec[max_m],</div>
+<div class="line"><a name="l00491"></a><span class="lineno"> 491</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[max_m][max_n],</div>
+<div class="line"><a name="l00492"></a><span class="lineno"> 492</span>  uint8_t begin_row, uint8_t begin_column,</div>
+<div class="line"><a name="l00493"></a><span class="lineno"> 493</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> dst_arr[max_n - begin_row])</div>
+<div class="line"><a name="l00494"></a><span class="lineno"> 494</span> {</div>
+<div class="line"><a name="l00495"></a><span class="lineno"> 495</span>  int16_t i, j;</div>
+<div class="line"><a name="l00496"></a><span class="lineno"> 496</span>  </div>
+<div class="line"><a name="l00497"></a><span class="lineno"> 497</span>  <span class="keywordflow">if</span> (vec != dst_arr) {</div>
+<div class="line"><a name="l00498"></a><span class="lineno"> 498</span>  memset(dst_arr, 0, (max_n - begin_row) * <span class="keyword">sizeof</span>(<a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a>));</div>
+<div class="line"><a name="l00499"></a><span class="lineno"> 499</span>  }</div>
+<div class="line"><a name="l00500"></a><span class="lineno"> 500</span>  </div>
+<div class="line"><a name="l00501"></a><span class="lineno"> 501</span>  <span class="keywordflow">for</span> (i = begin_column; i < max_n; i++) { <span class="comment">//column</span></div>
+<div class="line"><a name="l00502"></a><span class="lineno"> 502</span>  <span class="keywordflow">for</span> (j = begin_row; j < max_m; j++) { <span class="comment">//rows</span></div>
+<div class="line"><a name="l00503"></a><span class="lineno"> 503</span>  dst_arr[i - begin_column] += scalar * vec[j - begin_row]</div>
+<div class="line"><a name="l00504"></a><span class="lineno"> 504</span>  * matrix[j][i];</div>
+<div class="line"><a name="l00505"></a><span class="lineno"> 505</span>  </div>
+<div class="line"><a name="l00506"></a><span class="lineno"> 506</span>  }</div>
+<div class="line"><a name="l00507"></a><span class="lineno"> 507</span>  }</div>
+<div class="line"><a name="l00508"></a><span class="lineno"> 508</span> }</div>
+<div class="line"><a name="l00509"></a><span class="lineno"> 509</span>  </div>
+<div class="line"><a name="l00510"></a><span class="lineno"> 510</span>  </div>
+<div class="line"><a name="l00511"></a><span class="lineno"><a class="line" href="matrix_8c.html#a53b0a1829b2085414fb66a9e9bd6c7b7"> 511</a></span> <span class="keywordtype">void</span> <a class="code" href="matrix_8c.html#a53b0a1829b2085414fb66a9e9bd6c7b7">matrix_trans_mul_vec</a>(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[m][n],</div>
+<div class="line"><a name="l00512"></a><span class="lineno"> 512</span>  uint8_t b_size, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> b_vec[m], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> c_vec[n])</div>
+<div class="line"><a name="l00513"></a><span class="lineno"> 513</span> {</div>
+<div class="line"><a name="l00514"></a><span class="lineno"> 514</span>  uint8_t i, j;</div>
+<div class="line"><a name="l00515"></a><span class="lineno"> 515</span>  </div>
+<div class="line"><a name="l00516"></a><span class="lineno"> 516</span>  <span class="keywordflow">if</span> (m != b_size) {</div>
+<div class="line"><a name="l00517"></a><span class="lineno"> 517</span>  puts(</div>
+<div class="line"><a name="l00518"></a><span class="lineno"> 518</span>  <span class="stringliteral">"The vector size should be equal the raw number of the matrix !!!"</span>);</div>
+<div class="line"><a name="l00519"></a><span class="lineno"> 519</span>  }</div>
+<div class="line"><a name="l00520"></a><span class="lineno"> 520</span>  <span class="keywordflow">else</span> {</div>
+<div class="line"><a name="l00521"></a><span class="lineno"> 521</span>  <span class="keywordflow">for</span> (j = 0; j < n; j++) {</div>
+<div class="line"><a name="l00522"></a><span class="lineno"> 522</span>  c_vec[j] = 0;</div>
+<div class="line"><a name="l00523"></a><span class="lineno"> 523</span>  <span class="keywordflow">for</span> (i = 0; i < m; i++) {</div>
+<div class="line"><a name="l00524"></a><span class="lineno"> 524</span>  c_vec[j] += A[i][j] * b_vec[i];</div>
+<div class="line"><a name="l00525"></a><span class="lineno"> 525</span>  }</div>
+<div class="line"><a name="l00526"></a><span class="lineno"> 526</span>  }</div>
+<div class="line"><a name="l00527"></a><span class="lineno"> 527</span>  }</div>
+<div class="line"><a name="l00528"></a><span class="lineno"> 528</span> }</div>
+<div class="line"><a name="l00529"></a><span class="lineno"> 529</span>  </div>
+<div class="line"><a name="l00530"></a><span class="lineno"> 530</span>  </div>
+<div class="line"><a name="l00531"></a><span class="lineno"><a class="line" href="matrix_8c.html#acfd7c6f021f4fbcd393fe849c82f34de"> 531</a></span> <span class="keywordtype">void</span> <a class="code" href="matrix_8c.html#acfd7c6f021f4fbcd393fe849c82f34de">matrix_mul_col_vec_row_vec</a>(uint8_t m, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> col_vec[m], uint8_t n,</div>
+<div class="line"><a name="l00532"></a><span class="lineno"> 532</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> row_vec[n], uint8_t max_n,</div>
+<div class="line"><a name="l00533"></a><span class="lineno"> 533</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> res_mat[][max_n])</div>
+<div class="line"><a name="l00534"></a><span class="lineno"> 534</span> {</div>
+<div class="line"><a name="l00535"></a><span class="lineno"> 535</span>  uint8_t i, j;</div>
+<div class="line"><a name="l00536"></a><span class="lineno"> 536</span>  </div>
+<div class="line"><a name="l00537"></a><span class="lineno"> 537</span>  <span class="keywordflow">for</span> (i = 0; i < m; i++) {</div>
+<div class="line"><a name="l00538"></a><span class="lineno"> 538</span>  <span class="keywordflow">for</span> (j = 0; j < n; j++) {</div>
+<div class="line"><a name="l00539"></a><span class="lineno"> 539</span>  res_mat[i][j] = col_vec[i] * row_vec[j];</div>
+<div class="line"><a name="l00540"></a><span class="lineno"> 540</span>  }</div>
+<div class="line"><a name="l00541"></a><span class="lineno"> 541</span>  }</div>
+<div class="line"><a name="l00542"></a><span class="lineno"> 542</span> }</div>
+<div class="line"><a name="l00543"></a><span class="lineno"> 543</span>  </div>
+<div class="line"><a name="l00544"></a><span class="lineno"> 544</span>  </div>
+<div class="line"><a name="l00545"></a><span class="lineno"><a class="line" href="matrix_8c.html#a0107887a6c40980fa639750be8262f01"> 545</a></span> <span class="keywordtype">void</span> <a class="code" href="matrix_8c.html#a0107887a6c40980fa639750be8262f01">matrix_trans_mul_itself</a>(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[m][n],</div>
+<div class="line"><a name="l00546"></a><span class="lineno"> 546</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> AT_mul_A[n][n])</div>
+<div class="line"><a name="l00547"></a><span class="lineno"> 547</span> {</div>
+<div class="line"><a name="l00548"></a><span class="lineno"> 548</span>  uint8_t i, j, k;</div>
+<div class="line"><a name="l00549"></a><span class="lineno"> 549</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> column_vec[m];</div>
+<div class="line"><a name="l00550"></a><span class="lineno"> 550</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> tmp_col_vec[m];</div>
+<div class="line"><a name="l00551"></a><span class="lineno"> 551</span>  </div>
+<div class="line"><a name="l00552"></a><span class="lineno"> 552</span>  <span class="keywordflow">for</span> (i = 0; i < n; i++) {</div>
+<div class="line"><a name="l00553"></a><span class="lineno"> 553</span>  <a class="code" href="matrix_8c.html#a3ae0b9f73f82716f3427a523a3412864">matrix_get_column_vec</a>(m, n, A, i, column_vec);</div>
+<div class="line"><a name="l00554"></a><span class="lineno"> 554</span>  <span class="keywordflow">for</span> (j = 0; j < n; j++) {</div>
+<div class="line"><a name="l00555"></a><span class="lineno"> 555</span>  <a class="code" href="matrix_8c.html#a3ae0b9f73f82716f3427a523a3412864">matrix_get_column_vec</a>(m, n, A, j, tmp_col_vec);</div>
+<div class="line"><a name="l00556"></a><span class="lineno"> 556</span>  AT_mul_A[i][j] = 0;</div>
+<div class="line"><a name="l00557"></a><span class="lineno"> 557</span>  <span class="keywordflow">for</span> (k = 0; k < m; k++) {</div>
+<div class="line"><a name="l00558"></a><span class="lineno"> 558</span>  AT_mul_A[i][j] += column_vec[k]</div>
+<div class="line"><a name="l00559"></a><span class="lineno"> 559</span>  * tmp_col_vec[k];</div>
+<div class="line"><a name="l00560"></a><span class="lineno"> 560</span>  }</div>
+<div class="line"><a name="l00561"></a><span class="lineno"> 561</span>  }</div>
+<div class="line"><a name="l00562"></a><span class="lineno"> 562</span>  }</div>
+<div class="line"><a name="l00563"></a><span class="lineno"> 563</span> }</div>
+<div class="line"><a name="l00564"></a><span class="lineno"> 564</span>  </div>
+<div class="line"><a name="l00565"></a><span class="lineno"><a class="line" href="matrix_8c.html#a49aa70a7d6ad76388ea08acfe43b7374"> 565</a></span> <span class="keywordtype">void</span> <a class="code" href="matrix_8c.html#a49aa70a7d6ad76388ea08acfe43b7374">matrix_set_diag_elements</a>(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> value,</div>
+<div class="line"><a name="l00566"></a><span class="lineno"> 566</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> diag_matrix[m][n])</div>
+<div class="line"><a name="l00567"></a><span class="lineno"> 567</span> {</div>
+<div class="line"><a name="l00568"></a><span class="lineno"> 568</span>  uint8_t max = 0;</div>
+<div class="line"><a name="l00569"></a><span class="lineno"> 569</span>  </div>
+<div class="line"><a name="l00570"></a><span class="lineno"> 570</span>  <span class="keywordflow">if</span> (m < n) {</div>
+<div class="line"><a name="l00571"></a><span class="lineno"> 571</span>  max = m;</div>
+<div class="line"><a name="l00572"></a><span class="lineno"> 572</span>  }</div>
+<div class="line"><a name="l00573"></a><span class="lineno"> 573</span>  <span class="keywordflow">else</span> {</div>
+<div class="line"><a name="l00574"></a><span class="lineno"> 574</span>  max = n;</div>
+<div class="line"><a name="l00575"></a><span class="lineno"> 575</span>  }</div>
+<div class="line"><a name="l00576"></a><span class="lineno"> 576</span>  <span class="keywordflow">for</span> (uint8_t i = 0; i < max; i++) {</div>
+<div class="line"><a name="l00577"></a><span class="lineno"> 577</span>  diag_matrix[i][i] = value;</div>
+<div class="line"><a name="l00578"></a><span class="lineno"> 578</span>  }</div>
+<div class="line"><a name="l00579"></a><span class="lineno"> 579</span> }</div>
+<div class="line"><a name="l00580"></a><span class="lineno"> 580</span>  </div>
+<div class="line"><a name="l00581"></a><span class="lineno"><a class="line" href="matrix_8c.html#ae808f007791f060590d39c7668501988"> 581</a></span> <span class="keywordtype">void</span> <a class="code" href="matrix_8c.html#ae808f007791f060590d39c7668501988">matrix_get_diag_mat_new</a>(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> diag_matrix[m][n],</div>
+<div class="line"><a name="l00582"></a><span class="lineno"> 582</span>  uint8_t length, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> vec[])</div>
+<div class="line"><a name="l00583"></a><span class="lineno"> 583</span> {</div>
+<div class="line"><a name="l00584"></a><span class="lineno"> 584</span>  uint8_t i;</div>
+<div class="line"><a name="l00585"></a><span class="lineno"> 585</span>  </div>
+<div class="line"><a name="l00586"></a><span class="lineno"> 586</span>  <a class="code" href="matrix_8c.html#a0e06b2cfb86340e88be7b1219bef0ce3">matrix_clear</a>(m, n, diag_matrix);</div>
+<div class="line"><a name="l00587"></a><span class="lineno"> 587</span>  </div>
+<div class="line"><a name="l00588"></a><span class="lineno"> 588</span>  <span class="keywordflow">for</span> (i = 0; i < length; i++) {</div>
+<div class="line"><a name="l00589"></a><span class="lineno"> 589</span>  diag_matrix[i][i] = vec[i];</div>
+<div class="line"><a name="l00590"></a><span class="lineno"> 590</span>  }</div>
+<div class="line"><a name="l00591"></a><span class="lineno"> 591</span> }</div>
+<div class="line"><a name="l00592"></a><span class="lineno"> 592</span>  </div>
+<div class="line"><a name="l00593"></a><span class="lineno"> 593</span>  </div>
+<div class="line"><a name="l00594"></a><span class="lineno"><a class="line" href="matrix_8c.html#a18e47742f1653dcc4491badfe2537a0a"> 594</a></span> <span class="keywordtype">void</span> <a class="code" href="matrix_8c.html#a18e47742f1653dcc4491badfe2537a0a">matrix_get_diag_mat</a>(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> value,</div>
+<div class="line"><a name="l00595"></a><span class="lineno"> 595</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> diag_matrix[m][n])</div>
+<div class="line"><a name="l00596"></a><span class="lineno"> 596</span> {</div>
+<div class="line"><a name="l00597"></a><span class="lineno"> 597</span>  <a class="code" href="matrix_8c.html#a0e06b2cfb86340e88be7b1219bef0ce3">matrix_clear</a>(m, n, diag_matrix);</div>
+<div class="line"><a name="l00598"></a><span class="lineno"> 598</span>  <a class="code" href="matrix_8c.html#a49aa70a7d6ad76388ea08acfe43b7374">matrix_set_diag_elements</a>(m, n, value, diag_matrix);</div>
+<div class="line"><a name="l00599"></a><span class="lineno"> 599</span> }</div>
+<div class="line"><a name="l00600"></a><span class="lineno"> 600</span>  </div>
+<div class="line"><a name="l00601"></a><span class="lineno"> 601</span>  </div>
+<div class="line"><a name="l00602"></a><span class="lineno"><a class="line" href="matrix_8c.html#a51139e6c87b602e5e0ebfbc406fda35d"> 602</a></span> <span class="keywordtype">void</span> <a class="code" href="matrix_8c.html#a51139e6c87b602e5e0ebfbc406fda35d">matrix_mul_scalar</a>(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> mat_src[m][n],</div>
+<div class="line"><a name="l00603"></a><span class="lineno"> 603</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> value, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> mat_dest[m][n])</div>
+<div class="line"><a name="l00604"></a><span class="lineno"> 604</span> {</div>
+<div class="line"><a name="l00605"></a><span class="lineno"> 605</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < m; i++) {</div>
+<div class="line"><a name="l00606"></a><span class="lineno"> 606</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j < n; j++) {</div>
+<div class="line"><a name="l00607"></a><span class="lineno"> 607</span>  mat_dest[i][j] = value * mat_src[i][j];</div>
+<div class="line"><a name="l00608"></a><span class="lineno"> 608</span>  }</div>
+<div class="line"><a name="l00609"></a><span class="lineno"> 609</span>  }</div>
+<div class="line"><a name="l00610"></a><span class="lineno"> 610</span> }</div>
+<div class="line"><a name="l00611"></a><span class="lineno"> 611</span>  </div>
+<div class="line"><a name="l00612"></a><span class="lineno"><a class="line" href="matrix_8c.html#a3ae0b9f73f82716f3427a523a3412864"> 612</a></span> <span class="keywordtype">void</span> <a class="code" href="matrix_8c.html#a3ae0b9f73f82716f3427a523a3412864">matrix_get_column_vec</a>(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[m][n],</div>
+<div class="line"><a name="l00613"></a><span class="lineno"> 613</span>  uint8_t col_num, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> col_vec[m])</div>
+<div class="line"><a name="l00614"></a><span class="lineno"> 614</span> {</div>
+<div class="line"><a name="l00615"></a><span class="lineno"> 615</span>  uint8_t i;</div>
+<div class="line"><a name="l00616"></a><span class="lineno"> 616</span>  </div>
+<div class="line"><a name="l00617"></a><span class="lineno"> 617</span>  <span class="keywordflow">for</span> (i = 0; i < m; i++) {</div>
+<div class="line"><a name="l00618"></a><span class="lineno"> 618</span>  col_vec[i] = matrix[i][col_num];</div>
+<div class="line"><a name="l00619"></a><span class="lineno"> 619</span>  }</div>
+<div class="line"><a name="l00620"></a><span class="lineno"> 620</span> }</div>
+<div class="line"><a name="l00621"></a><span class="lineno"> 621</span>  </div>
+<div class="line"><a name="l00622"></a><span class="lineno"> 622</span>  </div>
+<div class="line"><a name="l00623"></a><span class="lineno"><a class="line" href="matrix_8c.html#ac20399f6a8de13b1f392a1e3f7c0fbf4"> 623</a></span> <span class="keywordtype">void</span> <a class="code" href="matrix_8c.html#ac20399f6a8de13b1f392a1e3f7c0fbf4">matrix_get_part_column_vec</a>(uint8_t max_m, uint8_t max_n,</div>
+<div class="line"><a name="l00624"></a><span class="lineno"> 624</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[max_m][max_n], uint8_t col_num,</div>
+<div class="line"><a name="l00625"></a><span class="lineno"> 625</span>  uint8_t offset,</div>
+<div class="line"><a name="l00626"></a><span class="lineno"> 626</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> col_vec[max_m - offset])</div>
+<div class="line"><a name="l00627"></a><span class="lineno"> 627</span> {</div>
+<div class="line"><a name="l00628"></a><span class="lineno"> 628</span>  uint8_t i;</div>
+<div class="line"><a name="l00629"></a><span class="lineno"> 629</span>  </div>
+<div class="line"><a name="l00630"></a><span class="lineno"> 630</span>  <span class="keywordflow">for</span> (i = offset; i < max_m; i++) {</div>
+<div class="line"><a name="l00631"></a><span class="lineno"> 631</span>  col_vec[i - offset] = matrix[i][col_num];</div>
+<div class="line"><a name="l00632"></a><span class="lineno"> 632</span>  }</div>
+<div class="line"><a name="l00633"></a><span class="lineno"> 633</span> }</div>
+<div class="line"><a name="l00634"></a><span class="lineno"> 634</span>  </div>
+<div class="line"><a name="l00635"></a><span class="lineno"><a class="line" href="matrix_8c.html#aef8d1508ad101227ab255a714ab22b94"> 635</a></span> <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> <a class="code" href="matrix_8c.html#aef8d1508ad101227ab255a714ab22b94">matrix_get_max_elem_in_column</a>(uint8_t m, uint8_t n,</div>
+<div class="line"><a name="l00636"></a><span class="lineno"> 636</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[m][n], uint8_t col_num)</div>
+<div class="line"><a name="l00637"></a><span class="lineno"> 637</span> {</div>
+<div class="line"><a name="l00638"></a><span class="lineno"> 638</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> elem_max;</div>
+<div class="line"><a name="l00639"></a><span class="lineno"> 639</span>  uint8_t i;</div>
+<div class="line"><a name="l00640"></a><span class="lineno"> 640</span>  </div>
+<div class="line"><a name="l00641"></a><span class="lineno"> 641</span>  elem_max = matrix[0][col_num];</div>
+<div class="line"><a name="l00642"></a><span class="lineno"> 642</span>  <span class="keywordflow">for</span> (i = 1; i < m; i++) {</div>
+<div class="line"><a name="l00643"></a><span class="lineno"> 643</span>  <span class="keywordflow">if</span> (matrix[i][col_num] > elem_max) {</div>
+<div class="line"><a name="l00644"></a><span class="lineno"> 644</span>  elem_max = matrix[i][col_num];</div>
+<div class="line"><a name="l00645"></a><span class="lineno"> 645</span>  }</div>
+<div class="line"><a name="l00646"></a><span class="lineno"> 646</span>  }</div>
+<div class="line"><a name="l00647"></a><span class="lineno"> 647</span>  </div>
+<div class="line"><a name="l00648"></a><span class="lineno"> 648</span>  <span class="keywordflow">return</span> elem_max;</div>
+<div class="line"><a name="l00649"></a><span class="lineno"> 649</span> }</div>
+<div class="line"><a name="l00650"></a><span class="lineno"> 650</span>  </div>
+<div class="line"><a name="l00651"></a><span class="lineno"><a class="line" href="matrix_8c.html#a0a3d3cfa20ad3e75ad783af457343672"> 651</a></span> <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> <a class="code" href="matrix_8c.html#a0a3d3cfa20ad3e75ad783af457343672">matrix_get_abs_max_elem_in_column</a>(uint8_t m, uint8_t n,</div>
+<div class="line"><a name="l00652"></a><span class="lineno"> 652</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[m][n],</div>
+<div class="line"><a name="l00653"></a><span class="lineno"> 653</span>  uint8_t col_num)</div>
+<div class="line"><a name="l00654"></a><span class="lineno"> 654</span> {</div>
+<div class="line"><a name="l00655"></a><span class="lineno"> 655</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> abs_max_elem;</div>
+<div class="line"><a name="l00656"></a><span class="lineno"> 656</span>  uint8_t i;</div>
+<div class="line"><a name="l00657"></a><span class="lineno"> 657</span>  </div>
+<div class="line"><a name="l00658"></a><span class="lineno"> 658</span>  abs_max_elem = fabs(matrix[0][col_num]);</div>
+<div class="line"><a name="l00659"></a><span class="lineno"> 659</span>  <span class="keywordflow">for</span> (i = 1; i < m; i++) {</div>
+<div class="line"><a name="l00660"></a><span class="lineno"> 660</span>  <span class="keywordflow">if</span> (fabs(matrix[i][col_num]) > abs_max_elem) {</div>
+<div class="line"><a name="l00661"></a><span class="lineno"> 661</span>  abs_max_elem = fabs(matrix[i][col_num]);</div>
+<div class="line"><a name="l00662"></a><span class="lineno"> 662</span>  }</div>
+<div class="line"><a name="l00663"></a><span class="lineno"> 663</span>  }</div>
+<div class="line"><a name="l00664"></a><span class="lineno"> 664</span>  </div>
+<div class="line"><a name="l00665"></a><span class="lineno"> 665</span>  <span class="keywordflow">return</span> abs_max_elem;</div>
+<div class="line"><a name="l00666"></a><span class="lineno"> 666</span> }</div>
+<div class="line"><a name="l00667"></a><span class="lineno"> 667</span>  </div>
+<div class="line"><a name="l00668"></a><span class="lineno"><a class="line" href="matrix_8c.html#ad2cecc467ac6480ef0f3423f962b39bc"> 668</a></span> <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> <a class="code" href="matrix_8c.html#ad2cecc467ac6480ef0f3423f962b39bc">matrix_get_max_elem_in_part_column</a>(uint8_t max_m, uint8_t max_n,</div>
+<div class="line"><a name="l00669"></a><span class="lineno"> 669</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[max_m][max_n],</div>
+<div class="line"><a name="l00670"></a><span class="lineno"> 670</span>  uint8_t row_num, uint8_t col_num)</div>
+<div class="line"><a name="l00671"></a><span class="lineno"> 671</span> {</div>
+<div class="line"><a name="l00672"></a><span class="lineno"> 672</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> max_elem;</div>
+<div class="line"><a name="l00673"></a><span class="lineno"> 673</span>  uint8_t i;</div>
+<div class="line"><a name="l00674"></a><span class="lineno"> 674</span>  </div>
+<div class="line"><a name="l00675"></a><span class="lineno"> 675</span>  max_elem = matrix[row_num][col_num];</div>
+<div class="line"><a name="l00676"></a><span class="lineno"> 676</span>  <span class="keywordflow">for</span> (i = row_num + 1; i < max_m; i++) {</div>
+<div class="line"><a name="l00677"></a><span class="lineno"> 677</span>  <span class="keywordflow">if</span> (matrix[i][col_num] > max_elem) {</div>
+<div class="line"><a name="l00678"></a><span class="lineno"> 678</span>  max_elem = matrix[i][col_num];</div>
+<div class="line"><a name="l00679"></a><span class="lineno"> 679</span>  }</div>
+<div class="line"><a name="l00680"></a><span class="lineno"> 680</span>  }</div>
+<div class="line"><a name="l00681"></a><span class="lineno"> 681</span>  </div>
+<div class="line"><a name="l00682"></a><span class="lineno"> 682</span>  <span class="keywordflow">return</span> max_elem;</div>
+<div class="line"><a name="l00683"></a><span class="lineno"> 683</span> }</div>
+<div class="line"><a name="l00684"></a><span class="lineno"> 684</span>  </div>
+<div class="line"><a name="l00685"></a><span class="lineno"><a class="line" href="matrix_8c.html#a8d77cfae4f1da83acac929c1ce13d252"> 685</a></span> <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> <a class="code" href="matrix_8c.html#a8d77cfae4f1da83acac929c1ce13d252">matrix_get_abs_max_elem_in_part_column</a>(uint8_t max_m, uint8_t max_n,</div>
+<div class="line"><a name="l00686"></a><span class="lineno"> 686</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[max_m][max_n],</div>
+<div class="line"><a name="l00687"></a><span class="lineno"> 687</span>  uint8_t row_num,</div>
+<div class="line"><a name="l00688"></a><span class="lineno"> 688</span>  uint8_t col_num)</div>
+<div class="line"><a name="l00689"></a><span class="lineno"> 689</span> {</div>
+<div class="line"><a name="l00690"></a><span class="lineno"> 690</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> abs_max_elem;</div>
+<div class="line"><a name="l00691"></a><span class="lineno"> 691</span>  uint8_t i;</div>
+<div class="line"><a name="l00692"></a><span class="lineno"> 692</span>  </div>
+<div class="line"><a name="l00693"></a><span class="lineno"> 693</span>  abs_max_elem = fabs(matrix[row_num][col_num]);</div>
+<div class="line"><a name="l00694"></a><span class="lineno"> 694</span>  <span class="keywordflow">for</span> (i = row_num + 1; i < max_m; i++) {</div>
+<div class="line"><a name="l00695"></a><span class="lineno"> 695</span>  <span class="keywordflow">if</span> (fabs(matrix[i][col_num]) > abs_max_elem) {</div>
+<div class="line"><a name="l00696"></a><span class="lineno"> 696</span>  abs_max_elem = fabs(matrix[i][col_num]);</div>
+<div class="line"><a name="l00697"></a><span class="lineno"> 697</span>  }</div>
+<div class="line"><a name="l00698"></a><span class="lineno"> 698</span>  }</div>
+<div class="line"><a name="l00699"></a><span class="lineno"> 699</span>  </div>
+<div class="line"><a name="l00700"></a><span class="lineno"> 700</span>  <span class="keywordflow">return</span> abs_max_elem;</div>
+<div class="line"><a name="l00701"></a><span class="lineno"> 701</span> }</div>
+<div class="line"><a name="l00702"></a><span class="lineno"> 702</span>  </div>
+<div class="line"><a name="l00703"></a><span class="lineno"><a class="line" href="matrix_8c.html#a5f6a1948ec005cff4985559821c4943f"> 703</a></span> <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> <a class="code" href="matrix_8c.html#a5f6a1948ec005cff4985559821c4943f">matrix_get_abs_max_elem_and_index_in_part_column</a>(uint8_t max_m,</div>
+<div class="line"><a name="l00704"></a><span class="lineno"> 704</span>  uint8_t max_n,</div>
+<div class="line"><a name="l00705"></a><span class="lineno"> 705</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[max_m][max_n],</div>
+<div class="line"><a name="l00706"></a><span class="lineno"> 706</span>  uint8_t row_num, uint8_t col_num,</div>
+<div class="line"><a name="l00707"></a><span class="lineno"> 707</span>  uint8_t *index)</div>
+<div class="line"><a name="l00708"></a><span class="lineno"> 708</span> {</div>
+<div class="line"><a name="l00709"></a><span class="lineno"> 709</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> abs_max_elem;</div>
+<div class="line"><a name="l00710"></a><span class="lineno"> 710</span>  uint8_t i;</div>
+<div class="line"><a name="l00711"></a><span class="lineno"> 711</span>  </div>
+<div class="line"><a name="l00712"></a><span class="lineno"> 712</span>  abs_max_elem = fabs(matrix[row_num][col_num]);</div>
+<div class="line"><a name="l00713"></a><span class="lineno"> 713</span>  *index = row_num;</div>
+<div class="line"><a name="l00714"></a><span class="lineno"> 714</span>  <span class="keywordflow">for</span> (i = row_num + 1; i < max_m; i++) {</div>
+<div class="line"><a name="l00715"></a><span class="lineno"> 715</span>  <span class="keywordflow">if</span> (fabs(matrix[i][col_num]) > abs_max_elem) {</div>
+<div class="line"><a name="l00716"></a><span class="lineno"> 716</span>  abs_max_elem = fabs(matrix[i][col_num]);</div>
+<div class="line"><a name="l00717"></a><span class="lineno"> 717</span>  *index = i;</div>
+<div class="line"><a name="l00718"></a><span class="lineno"> 718</span>  }</div>
+<div class="line"><a name="l00719"></a><span class="lineno"> 719</span>  </div>
+<div class="line"><a name="l00720"></a><span class="lineno"> 720</span>  }</div>
+<div class="line"><a name="l00721"></a><span class="lineno"> 721</span>  </div>
+<div class="line"><a name="l00722"></a><span class="lineno"> 722</span>  <span class="keywordflow">return</span> abs_max_elem;</div>
+<div class="line"><a name="l00723"></a><span class="lineno"> 723</span> }</div>
+<div class="line"><a name="l00724"></a><span class="lineno"> 724</span>  </div>
+<div class="line"><a name="l00725"></a><span class="lineno"><a class="line" href="matrix_8c.html#a875d6c55a16ee9f8bf523b8c1c82bc6f"> 725</a></span> <span class="keywordtype">void</span> <a class="code" href="matrix_8c.html#a875d6c55a16ee9f8bf523b8c1c82bc6f">matrix_swap_rows</a>(uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[][n], uint8_t i, uint8_t j)</div>
+<div class="line"><a name="l00726"></a><span class="lineno"> 726</span> {</div>
+<div class="line"><a name="l00727"></a><span class="lineno"> 727</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> tmp;</div>
+<div class="line"><a name="l00728"></a><span class="lineno"> 728</span>  </div>
+<div class="line"><a name="l00729"></a><span class="lineno"> 729</span>  <span class="keywordflow">for</span> (uint8_t k = 0; k < n; k++) {</div>
+<div class="line"><a name="l00730"></a><span class="lineno"> 730</span>  tmp = matrix[i][k];</div>
+<div class="line"><a name="l00731"></a><span class="lineno"> 731</span>  matrix[i][k] = matrix[j][k];</div>
+<div class="line"><a name="l00732"></a><span class="lineno"> 732</span>  matrix[j][k] = tmp;</div>
+<div class="line"><a name="l00733"></a><span class="lineno"> 733</span>  }</div>
+<div class="line"><a name="l00734"></a><span class="lineno"> 734</span> }</div>
+<div class="line"><a name="l00735"></a><span class="lineno"> 735</span>  </div>
+<div class="line"><a name="l00736"></a><span class="lineno"><a class="line" href="matrix_8c.html#a3570c016691507c003dd7a54cb37e7e2"> 736</a></span> <span class="keywordtype">void</span> <a class="code" href="matrix_8c.html#a3570c016691507c003dd7a54cb37e7e2">matrix_part_swap_rows</a>(uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[][n], uint8_t i,</div>
+<div class="line"><a name="l00737"></a><span class="lineno"> 737</span>  uint8_t j, uint8_t col_begin,</div>
+<div class="line"><a name="l00738"></a><span class="lineno"> 738</span>  uint8_t col_end)</div>
+<div class="line"><a name="l00739"></a><span class="lineno"> 739</span> {</div>
+<div class="line"><a name="l00740"></a><span class="lineno"> 740</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> tmp;</div>
+<div class="line"><a name="l00741"></a><span class="lineno"> 741</span>  </div>
+<div class="line"><a name="l00742"></a><span class="lineno"> 742</span>  <span class="keywordflow">if</span> (col_begin <= col_end) {</div>
+<div class="line"><a name="l00743"></a><span class="lineno"> 743</span>  <span class="keywordflow">for</span> (uint8_t k = col_begin; k < (col_end + 1); k++) {</div>
+<div class="line"><a name="l00744"></a><span class="lineno"> 744</span>  tmp = matrix[i][k];</div>
+<div class="line"><a name="l00745"></a><span class="lineno"> 745</span>  matrix[i][k] = matrix[j][k];</div>
+<div class="line"><a name="l00746"></a><span class="lineno"> 746</span>  matrix[j][k] = tmp;</div>
+<div class="line"><a name="l00747"></a><span class="lineno"> 747</span>  }</div>
+<div class="line"><a name="l00748"></a><span class="lineno"> 748</span>  }</div>
+<div class="line"><a name="l00749"></a><span class="lineno"> 749</span>  </div>
+<div class="line"><a name="l00750"></a><span class="lineno"> 750</span> }</div>
+<div class="line"><a name="l00751"></a><span class="lineno"> 751</span>  </div>
+<div class="line"><a name="l00752"></a><span class="lineno"><a class="line" href="matrix_8c.html#aec03481d950677386122e3c8ba6a5cd0"> 752</a></span> <span class="keywordtype">double</span> <a class="code" href="matrix_8c.html#aec03481d950677386122e3c8ba6a5cd0">matrix_get_two_norm</a>(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[][n])</div>
+<div class="line"><a name="l00753"></a><span class="lineno"> 753</span> {</div>
+<div class="line"><a name="l00754"></a><span class="lineno"> 754</span>  <span class="keywordtype">double</span> two_norm = 0.0;</div>
+<div class="line"><a name="l00755"></a><span class="lineno"> 755</span>  <a class="code" href="structmatrix__dim__t.html">matrix_dim_t</a> dim;</div>
+<div class="line"><a name="l00756"></a><span class="lineno"> 756</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> copy_A[m][n];</div>
+<div class="line"><a name="l00757"></a><span class="lineno"> 757</span>  </div>
+<div class="line"><a name="l00758"></a><span class="lineno"> 758</span>  <a class="code" href="svd_8h.html#a8194826f85cc3105c4d8d4f342ca8df8">svd_get_U_dim</a>(m, n, &dim);</div>
+<div class="line"><a name="l00759"></a><span class="lineno"> 759</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> U[dim.<a class="code" href="structmatrix__dim__t.html#a853244a0562d43bfdcdcb704ed707721">row_num</a>][dim.<a class="code" href="structmatrix__dim__t.html#aac6b6ff205184047714d5c22019bdbab">col_num</a>];</div>
+<div class="line"><a name="l00760"></a><span class="lineno"> 760</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> S[n][n];</div>
+<div class="line"><a name="l00761"></a><span class="lineno"> 761</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> V[n][n];</div>
+<div class="line"><a name="l00762"></a><span class="lineno"> 762</span>  uint8_t s_length = <a class="code" href="svd_8h.html#a91b85e542b1fc44d3500ba52aecb8e0e">svd_get_single_values_num</a>(m, n);</div>
+<div class="line"><a name="l00763"></a><span class="lineno"> 763</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> s[s_length];</div>
+<div class="line"><a name="l00764"></a><span class="lineno"> 764</span>  </div>
+<div class="line"><a name="l00765"></a><span class="lineno"> 765</span>  <a class="code" href="matrix_8c.html#ae8d8daa117e9f96a5e29fe6c76c4998c">matrix_copy</a>(m, n, A, copy_A);</div>
+<div class="line"><a name="l00766"></a><span class="lineno"> 766</span>  <a class="code" href="svd_8h.html#acdccfce5b7732e6334ca5a521c57e63e">svd</a>(m, n, copy_A, dim.<a class="code" href="structmatrix__dim__t.html#a853244a0562d43bfdcdcb704ed707721">row_num</a>, dim.<a class="code" href="structmatrix__dim__t.html#aac6b6ff205184047714d5c22019bdbab">col_num</a>, U, S, V, s_length, s);</div>
+<div class="line"><a name="l00767"></a><span class="lineno"> 767</span>  printf(<span class="stringliteral">"U1 = "</span>);</div>
+<div class="line"><a name="l00768"></a><span class="lineno"> 768</span>  <a class="code" href="matrix_8c.html#a32ab12965ec43c2acf65cf9dd510353a">matrix_print</a>(dim.<a class="code" href="structmatrix__dim__t.html#a853244a0562d43bfdcdcb704ed707721">row_num</a>, dim.<a class="code" href="structmatrix__dim__t.html#aac6b6ff205184047714d5c22019bdbab">col_num</a>, U);</div>
+<div class="line"><a name="l00769"></a><span class="lineno"> 769</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00770"></a><span class="lineno"> 770</span>  printf(<span class="stringliteral">"S1 = "</span>);</div>
+<div class="line"><a name="l00771"></a><span class="lineno"> 771</span>  <a class="code" href="matrix_8c.html#a32ab12965ec43c2acf65cf9dd510353a">matrix_print</a>(n, n, S);</div>
+<div class="line"><a name="l00772"></a><span class="lineno"> 772</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00773"></a><span class="lineno"> 773</span>  printf(<span class="stringliteral">"V1 = "</span>);</div>
+<div class="line"><a name="l00774"></a><span class="lineno"> 774</span>  <a class="code" href="matrix_8c.html#a32ab12965ec43c2acf65cf9dd510353a">matrix_print</a>(n, n, V);</div>
+<div class="line"><a name="l00775"></a><span class="lineno"> 775</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00776"></a><span class="lineno"> 776</span>  </div>
+<div class="line"><a name="l00777"></a><span class="lineno"> 777</span>  two_norm = S[0][0];</div>
+<div class="line"><a name="l00778"></a><span class="lineno"> 778</span>  </div>
+<div class="line"><a name="l00779"></a><span class="lineno"> 779</span>  <span class="keywordflow">return</span> two_norm;</div>
+<div class="line"><a name="l00780"></a><span class="lineno"> 780</span> }</div>
+<div class="line"><a name="l00781"></a><span class="lineno"> 781</span>  </div>
+<div class="line"><a name="l00782"></a><span class="lineno"><a class="line" href="matrix_8c.html#aaf85a32b8562c91d2d1889819580375e"> 782</a></span> <span class="keywordtype">double</span> <a class="code" href="matrix_8c.html#aaf85a32b8562c91d2d1889819580375e">matrix_get_frob_norm</a>(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[][n])</div>
+<div class="line"><a name="l00783"></a><span class="lineno"> 783</span> {</div>
+<div class="line"><a name="l00784"></a><span class="lineno"> 784</span>  <span class="keywordtype">double</span> frob_norm = 0.0;</div>
+<div class="line"><a name="l00785"></a><span class="lineno"> 785</span>  </div>
+<div class="line"><a name="l00786"></a><span class="lineno"> 786</span>  <span class="keywordflow">for</span> (uint8_t i = 0; i < m; i++) {</div>
+<div class="line"><a name="l00787"></a><span class="lineno"> 787</span>  <span class="keywordflow">for</span> (uint8_t j = 0; j < n; j++) {</div>
+<div class="line"><a name="l00788"></a><span class="lineno"> 788</span>  frob_norm += pow(A[i][j], 2);</div>
+<div class="line"><a name="l00789"></a><span class="lineno"> 789</span>  }</div>
+<div class="line"><a name="l00790"></a><span class="lineno"> 790</span>  }</div>
+<div class="line"><a name="l00791"></a><span class="lineno"> 791</span>  </div>
+<div class="line"><a name="l00792"></a><span class="lineno"> 792</span>  <span class="keywordflow">return</span> sqrt(frob_norm);</div>
+<div class="line"><a name="l00793"></a><span class="lineno"> 793</span> }</div>
+<div class="line"><a name="l00794"></a><span class="lineno"> 794</span>  </div>
+<div class="line"><a name="l00795"></a><span class="lineno"><a class="line" href="matrix_8c.html#ab166871472924745f70e2bb6e17498c8"> 795</a></span> <span class="keywordtype">void</span> <a class="code" href="matrix_8c.html#ab166871472924745f70e2bb6e17498c8">matrix_get_inv_upp_triang</a>(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> U[][n],</div>
+<div class="line"><a name="l00796"></a><span class="lineno"> 796</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> inv_U[][m])</div>
+<div class="line"><a name="l00797"></a><span class="lineno"> 797</span> {</div>
+<div class="line"><a name="l00798"></a><span class="lineno"> 798</span>  <span class="comment">//Zero out the inv_U matrix</span></div>
+<div class="line"><a name="l00799"></a><span class="lineno"> 799</span>  <a class="code" href="matrix_8c.html#a0e06b2cfb86340e88be7b1219bef0ce3">matrix_clear</a>(n, m, inv_U);</div>
+<div class="line"><a name="l00800"></a><span class="lineno"> 800</span>  <span class="keywordflow">for</span> (uint8_t i = 0; i < n; i++) {</div>
+<div class="line"><a name="l00801"></a><span class="lineno"> 801</span>  <span class="keywordflow">if</span> (U[i][i] != 0) {</div>
+<div class="line"><a name="l00802"></a><span class="lineno"> 802</span>  inv_U[i][i] = 1 / U[i][i];</div>
+<div class="line"><a name="l00803"></a><span class="lineno"> 803</span>  }</div>
+<div class="line"><a name="l00804"></a><span class="lineno"> 804</span>  <span class="keywordflow">else</span> {</div>
+<div class="line"><a name="l00805"></a><span class="lineno"> 805</span>  inv_U[i][i] = FLT_MAX;</div>
+<div class="line"><a name="l00806"></a><span class="lineno"> 806</span>  }</div>
+<div class="line"><a name="l00807"></a><span class="lineno"> 807</span>  <span class="keywordflow">for</span> (uint8_t j = 0; j <= (i - 1); j++) {</div>
+<div class="line"><a name="l00808"></a><span class="lineno"> 808</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> u = 0.0;</div>
+<div class="line"><a name="l00809"></a><span class="lineno"> 809</span>  <span class="keywordflow">for</span> (uint8_t k = j; k <= (i - 1); k++) {</div>
+<div class="line"><a name="l00810"></a><span class="lineno"> 810</span>  u = u + U[k][i] * inv_U[j][k];</div>
+<div class="line"><a name="l00811"></a><span class="lineno"> 811</span>  }</div>
+<div class="line"><a name="l00812"></a><span class="lineno"> 812</span>  inv_U[j][i] = -u * inv_U[i][i];</div>
+<div class="line"><a name="l00813"></a><span class="lineno"> 813</span>  }</div>
+<div class="line"><a name="l00814"></a><span class="lineno"> 814</span>  }</div>
+<div class="line"><a name="l00815"></a><span class="lineno"> 815</span> }</div>
+<div class="line"><a name="l00816"></a><span class="lineno"> 816</span>  </div>
+<div class="line"><a name="l00817"></a><span class="lineno"><a class="line" href="matrix_8c.html#ae8e87640fa1a2d259ee4dc98c955cb48"> 817</a></span> <span class="keywordtype">void</span> <a class="code" href="matrix_8c.html#ae8e87640fa1a2d259ee4dc98c955cb48">matrix_get_inv_low_triang</a>(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> L[][n],</div>
+<div class="line"><a name="l00818"></a><span class="lineno"> 818</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> inv_L[][m])</div>
+<div class="line"><a name="l00819"></a><span class="lineno"> 819</span> {</div>
+<div class="line"><a name="l00820"></a><span class="lineno"> 820</span>  <span class="comment">//Zero out the inv_L matrix</span></div>
+<div class="line"><a name="l00821"></a><span class="lineno"> 821</span>  <a class="code" href="matrix_8c.html#a0e06b2cfb86340e88be7b1219bef0ce3">matrix_clear</a>(n, m, inv_L);</div>
+<div class="line"><a name="l00822"></a><span class="lineno"> 822</span>  <span class="keywordflow">for</span> (uint8_t i = 0; i < n; i++) {</div>
+<div class="line"><a name="l00823"></a><span class="lineno"> 823</span>  <span class="keywordflow">if</span> ((i <= m) & (i <= n)) {</div>
+<div class="line"><a name="l00824"></a><span class="lineno"> 824</span>  <span class="keywordflow">if</span> (L[i][i] != 0) {</div>
+<div class="line"><a name="l00825"></a><span class="lineno"> 825</span>  inv_L[i][i] = 1 / L[i][i];</div>
+<div class="line"><a name="l00826"></a><span class="lineno"> 826</span>  }</div>
+<div class="line"><a name="l00827"></a><span class="lineno"> 827</span>  <span class="keywordflow">else</span> {</div>
+<div class="line"><a name="l00828"></a><span class="lineno"> 828</span>  inv_L[i][i] = FLT_MAX;</div>
+<div class="line"><a name="l00829"></a><span class="lineno"> 829</span>  }</div>
+<div class="line"><a name="l00830"></a><span class="lineno"> 830</span>  <span class="keywordflow">for</span> (uint8_t j = 0; j <= (i - 1); j++) {</div>
+<div class="line"><a name="l00831"></a><span class="lineno"> 831</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> l = 0.0;</div>
+<div class="line"><a name="l00832"></a><span class="lineno"> 832</span>  <span class="keywordflow">for</span> (uint8_t k = j; k <= (i - 1); k++) {</div>
+<div class="line"><a name="l00833"></a><span class="lineno"> 833</span>  l = l + L[i][k] * inv_L[k][j];</div>
+<div class="line"><a name="l00834"></a><span class="lineno"> 834</span>  }</div>
+<div class="line"><a name="l00835"></a><span class="lineno"> 835</span>  inv_L[i][j] = -l * inv_L[i][i];</div>
+<div class="line"><a name="l00836"></a><span class="lineno"> 836</span>  }</div>
+<div class="line"><a name="l00837"></a><span class="lineno"> 837</span>  } <span class="comment">//if</span></div>
+<div class="line"><a name="l00838"></a><span class="lineno"> 838</span>  } <span class="comment">//for</span></div>
+<div class="line"><a name="l00839"></a><span class="lineno"> 839</span> }</div>
+<div class="line"><a name="l00840"></a><span class="lineno"> 840</span>  </div>
+<div class="line"><a name="l00841"></a><span class="lineno"><a class="line" href="matrix_8c.html#abbaf8f39b2b7bb4bd2987f99674c1213"> 841</a></span> <span class="keywordtype">void</span> <a class="code" href="matrix_8c.html#abbaf8f39b2b7bb4bd2987f99674c1213">matrix_get_upp_triang</a>(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[][n],</div>
+<div class="line"><a name="l00842"></a><span class="lineno"> 842</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> tr_up_A[][n])</div>
+<div class="line"><a name="l00843"></a><span class="lineno"> 843</span> {</div>
+<div class="line"><a name="l00844"></a><span class="lineno"> 844</span>  <span class="comment">// Same matrix</span></div>
+<div class="line"><a name="l00845"></a><span class="lineno"> 845</span>  <span class="keywordflow">if</span> ((&A[0][0]) == (&tr_up_A[0][0])) {</div>
+<div class="line"><a name="l00846"></a><span class="lineno"> 846</span>  <span class="keywordflow">for</span> (uint8_t i = 1; i < m; i++) {</div>
+<div class="line"><a name="l00847"></a><span class="lineno"> 847</span>  <span class="keywordflow">for</span> (uint8_t j = 0; (j < i) && (j < n); j++) {</div>
+<div class="line"><a name="l00848"></a><span class="lineno"> 848</span>  A[i][j] = 0;</div>
+<div class="line"><a name="l00849"></a><span class="lineno"> 849</span>  }</div>
+<div class="line"><a name="l00850"></a><span class="lineno"> 850</span>  }</div>
+<div class="line"><a name="l00851"></a><span class="lineno"> 851</span>  </div>
+<div class="line"><a name="l00852"></a><span class="lineno"> 852</span>  }</div>
+<div class="line"><a name="l00853"></a><span class="lineno"> 853</span>  <span class="keywordflow">else</span> {</div>
+<div class="line"><a name="l00854"></a><span class="lineno"> 854</span>  <span class="keywordflow">for</span> (uint8_t i = 0; i < m; i++) {</div>
+<div class="line"><a name="l00855"></a><span class="lineno"> 855</span>  <span class="keywordflow">for</span> (uint8_t j = 0; j < n; j++) {</div>
+<div class="line"><a name="l00856"></a><span class="lineno"> 856</span>  <span class="keywordflow">if</span> (i <= j) {</div>
+<div class="line"><a name="l00857"></a><span class="lineno"> 857</span>  tr_up_A[i][j] = A[i][j];</div>
+<div class="line"><a name="l00858"></a><span class="lineno"> 858</span>  }</div>
+<div class="line"><a name="l00859"></a><span class="lineno"> 859</span>  <span class="keywordflow">else</span> {</div>
+<div class="line"><a name="l00860"></a><span class="lineno"> 860</span>  tr_up_A[i][j] = 0;</div>
+<div class="line"><a name="l00861"></a><span class="lineno"> 861</span>  }</div>
+<div class="line"><a name="l00862"></a><span class="lineno"> 862</span>  }</div>
+<div class="line"><a name="l00863"></a><span class="lineno"> 863</span>  }</div>
+<div class="line"><a name="l00864"></a><span class="lineno"> 864</span>  }</div>
+<div class="line"><a name="l00865"></a><span class="lineno"> 865</span>  </div>
+<div class="line"><a name="l00866"></a><span class="lineno"> 866</span> }</div>
+<div class="line"><a name="l00867"></a><span class="lineno"> 867</span>  </div>
+<div class="line"><a name="l00868"></a><span class="lineno"><a class="line" href="matrix_8c.html#adfd93dda9be9b2e8df5805af7fee7845"> 868</a></span> <span class="keywordtype">void</span> <a class="code" href="matrix_8c.html#adfd93dda9be9b2e8df5805af7fee7845">matrix_get_low_triang</a>(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[][n],</div>
+<div class="line"><a name="l00869"></a><span class="lineno"> 869</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> tr_low_A[][n])</div>
+<div class="line"><a name="l00870"></a><span class="lineno"> 870</span> {</div>
+<div class="line"><a name="l00871"></a><span class="lineno"> 871</span>  </div>
+<div class="line"><a name="l00872"></a><span class="lineno"> 872</span>  <span class="keywordflow">if</span> ((&A[0][0]) == (&tr_low_A[0][0])) {</div>
+<div class="line"><a name="l00873"></a><span class="lineno"> 873</span>  <span class="comment">// Same matrix</span></div>
+<div class="line"><a name="l00874"></a><span class="lineno"> 874</span>  <span class="keywordflow">for</span> (uint8_t i = 0; i < m; i++) {</div>
+<div class="line"><a name="l00875"></a><span class="lineno"> 875</span>  <span class="keywordflow">for</span> (uint8_t j = i + 1; (j > i) && (j < n); j++) {</div>
+<div class="line"><a name="l00876"></a><span class="lineno"> 876</span>  A[i][j] = 0;</div>
+<div class="line"><a name="l00877"></a><span class="lineno"> 877</span>  }</div>
+<div class="line"><a name="l00878"></a><span class="lineno"> 878</span>  }</div>
+<div class="line"><a name="l00879"></a><span class="lineno"> 879</span>  </div>
+<div class="line"><a name="l00880"></a><span class="lineno"> 880</span>  }</div>
+<div class="line"><a name="l00881"></a><span class="lineno"> 881</span>  <span class="keywordflow">else</span> {</div>
+<div class="line"><a name="l00882"></a><span class="lineno"> 882</span>  <span class="keywordflow">for</span> (uint8_t i = 0; i < m; i++) {</div>
+<div class="line"><a name="l00883"></a><span class="lineno"> 883</span>  <span class="keywordflow">for</span> (uint8_t j = 0; j < n; j++) {</div>
+<div class="line"><a name="l00884"></a><span class="lineno"> 884</span>  <span class="keywordflow">if</span> (i >= j) {</div>
+<div class="line"><a name="l00885"></a><span class="lineno"> 885</span>  tr_low_A[i][j] = A[i][j];</div>
+<div class="line"><a name="l00886"></a><span class="lineno"> 886</span>  }</div>
+<div class="line"><a name="l00887"></a><span class="lineno"> 887</span>  <span class="keywordflow">else</span> {</div>
+<div class="line"><a name="l00888"></a><span class="lineno"> 888</span>  tr_low_A[i][j] = 0;</div>
+<div class="line"><a name="l00889"></a><span class="lineno"> 889</span>  }</div>
+<div class="line"><a name="l00890"></a><span class="lineno"> 890</span>  }</div>
+<div class="line"><a name="l00891"></a><span class="lineno"> 891</span>  }</div>
+<div class="line"><a name="l00892"></a><span class="lineno"> 892</span>  }</div>
+<div class="line"><a name="l00893"></a><span class="lineno"> 893</span> }</div>
+<div class="line"><a name="l00894"></a><span class="lineno"> 894</span>  </div>
+<div class="line"><a name="l00895"></a><span class="lineno"><a class="line" href="matrix_8c.html#a722a0230185fd66f0cecbeae7d50ce1a"> 895</a></span> <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> <a class="code" href="matrix_8c.html#a722a0230185fd66f0cecbeae7d50ce1a">matrix_read</a>(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[m][n], uint8_t i,</div>
+<div class="line"><a name="l00896"></a><span class="lineno"> 896</span>  uint8_t j)</div>
+<div class="line"><a name="l00897"></a><span class="lineno"> 897</span> {</div>
+<div class="line"><a name="l00898"></a><span class="lineno"> 898</span>  <span class="keywordflow">return</span> matrix[i][j];</div>
+<div class="line"><a name="l00899"></a><span class="lineno"> 899</span> }</div>
+<div class="line"><a name="l00900"></a><span class="lineno"> 900</span>  </div>
+<div class="line"><a name="l00901"></a><span class="lineno"><a class="line" href="matrix_8c.html#a90b6eafa665d34d7330581c32564d632"> 901</a></span> <span class="keywordtype">void</span> <a class="code" href="matrix_8c.html#a90b6eafa665d34d7330581c32564d632">matrix_write</a>(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[m][n], uint8_t i,</div>
+<div class="line"><a name="l00902"></a><span class="lineno"> 902</span>  uint8_t j, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> val)</div>
+<div class="line"><a name="l00903"></a><span class="lineno"> 903</span> {</div>
+<div class="line"><a name="l00904"></a><span class="lineno"> 904</span>  matrix[i][j] = val;</div>
+<div class="line"><a name="l00905"></a><span class="lineno"> 905</span> }</div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="amatrix_8c_html_ad7c9a682a3cc4ca33c030afa8798241a"><div class="ttname"><a href="matrix_8c.html#ad7c9a682a3cc4ca33c030afa8798241a">matrix_transpose</a></div><div class="ttdeci">void matrix_transpose(uint8_t m, uint8_t n, matrix_t src_matrix[m][n], matrix_t dest_matrix[n][m])</div><div class="ttdoc">Computes the transpose of a matrix.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00056">matrix.c:56</a></div></div>
+<div class="ttc" id="amatrix_8c_html_acfd7c6f021f4fbcd393fe849c82f34de"><div class="ttname"><a href="matrix_8c.html#acfd7c6f021f4fbcd393fe849c82f34de">matrix_mul_col_vec_row_vec</a></div><div class="ttdeci">void matrix_mul_col_vec_row_vec(uint8_t m, matrix_t col_vec[m], uint8_t n, matrix_t row_vec[n], uint8_t max_n, matrix_t res_mat[][max_n])</div><div class="ttdoc">Compute the multiplication of a column and row vector.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00531">matrix.c:531</a></div></div>
+<div class="ttc" id="amatrix_8c_html_a8d77cfae4f1da83acac929c1ce13d252"><div class="ttname"><a href="matrix_8c.html#a8d77cfae4f1da83acac929c1ce13d252">matrix_get_abs_max_elem_in_part_column</a></div><div class="ttdeci">matrix_t matrix_get_abs_max_elem_in_part_column(uint8_t max_m, uint8_t max_n, matrix_t matrix[max_m][max_n], uint8_t row_num, uint8_t col_num)</div><div class="ttdoc">Get the maximum absolute value of a column vector in a sub-matrix.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00685">matrix.c:685</a></div></div>
+<div class="ttc" id="amatrix_8c_html_a51139e6c87b602e5e0ebfbc406fda35d"><div class="ttname"><a href="matrix_8c.html#a51139e6c87b602e5e0ebfbc406fda35d">matrix_mul_scalar</a></div><div class="ttdeci">void matrix_mul_scalar(uint8_t m, uint8_t n, matrix_t mat_src[m][n], matrix_t value, matrix_t mat_dest[m][n])</div><div class="ttdoc">Multiply all elements of a matrix with a specified value.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00602">matrix.c:602</a></div></div>
+<div class="ttc" id="amatrix_8c_html_ab166871472924745f70e2bb6e17498c8"><div class="ttname"><a href="matrix_8c.html#ab166871472924745f70e2bb6e17498c8">matrix_get_inv_upp_triang</a></div><div class="ttdeci">void matrix_get_inv_upp_triang(uint8_t m, uint8_t n, matrix_t U[][n], matrix_t inv_U[][m])</div><div class="ttdoc">Computes the inverse an upper triangular matrix.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00795">matrix.c:795</a></div></div>
+<div class="ttc" id="amatrix_8c_html_a72073ccd483f9cc438425d3d8ffd3029"><div class="ttname"><a href="matrix_8c.html#a72073ccd483f9cc438425d3d8ffd3029">matrix_part_print</a></div><div class="ttdeci">void matrix_part_print(uint8_t m, uint8_t n, matrix_t matrix[m][n], uint8_t start_row_ind, uint8_t end_row_ind, uint8_t start_col_ind, uint8_t end_col_ind)</div><div class="ttdoc">Display the values of the sub-matrix elements.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00164">matrix.c:164</a></div></div>
+<div class="ttc" id="amatrix_8c_html_a32ab12965ec43c2acf65cf9dd510353a"><div class="ttname"><a href="matrix_8c.html#a32ab12965ec43c2acf65cf9dd510353a">matrix_print</a></div><div class="ttdeci">void matrix_print(uint8_t m, uint8_t n, matrix_t matrix[m][n])</div><div class="ttdoc">Display the values of the matrix elements.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00141">matrix.c:141</a></div></div>
+<div class="ttc" id="amatrix_8c_html_a48b36217faeda15438f4e07c54d0ef9e"><div class="ttname"><a href="matrix_8c.html#a48b36217faeda15438f4e07c54d0ef9e">matrix_in_place_transpose</a></div><div class="ttdeci">void matrix_in_place_transpose(uint8_t m, matrix_t matrix[][m])</div><div class="ttdoc">Computes the in-place transpose of a matrix.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00069">matrix.c:69</a></div></div>
+<div class="ttc" id="astructmatrix__dim__t_html_a853244a0562d43bfdcdcb704ed707721"><div class="ttname"><a href="structmatrix__dim__t.html#a853244a0562d43bfdcdcb704ed707721">matrix_dim_t::row_num</a></div><div class="ttdeci">uint8_t row_num</div><div class="ttdoc">the row number</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8h_source.html#l00061">matrix.h:61</a></div></div>
+<div class="ttc" id="amatrix_8c_html_aec03481d950677386122e3c8ba6a5cd0"><div class="ttname"><a href="matrix_8c.html#aec03481d950677386122e3c8ba6a5cd0">matrix_get_two_norm</a></div><div class="ttdeci">double matrix_get_two_norm(uint8_t m, uint8_t n, matrix_t A[][n])</div><div class="ttdoc">Get the 2-norm of a matrix that is equal to the largest singular value.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00752">matrix.c:752</a></div></div>
+<div class="ttc" id="amatrix_8c_html_ac735d13efe5b76ecf60ac13ec79da8e3"><div class="ttname"><a href="matrix_8c.html#ac735d13efe5b76ecf60ac13ec79da8e3">matrix_mul_scalar_vec_matr</a></div><div class="ttdeci">void matrix_mul_scalar_vec_matr(uint8_t m, uint8_t n, matrix_t scalar, matrix_t vec[m], matrix_t matrix[m][n], matrix_t dst_arr[n])</div><div class="ttdoc">Compute the multiplication of a scalar with row vector and a matrix.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00470">matrix.c:470</a></div></div>
+<div class="ttc" id="asvd_8h_html_acdccfce5b7732e6334ca5a521c57e63e"><div class="ttname"><a href="svd_8h.html#acdccfce5b7732e6334ca5a521c57e63e">svd</a></div><div class="ttdeci">void svd(uint8_t m, uint8_t n, matrix_t A[m][n], uint8_t u_m, uint8_t u_n, matrix_t U[u_m][u_n], matrix_t S[u_n][n], matrix_t V[n][n], uint8_t sing_vec_length, matrix_t singl_values_vec[])</div><div class="ttdoc">Compute the Singular-Value Decomposition (SVD) of a matrix.</div><div class="ttdef"><b>Definition:</b> <a href="svd_8c_source.html#l00119">svd.c:119</a></div></div>
+<div class="ttc" id="amatrix_8c_html_a56513a88eff05b0683320c532fadf945"><div class="ttname"><a href="matrix_8c.html#a56513a88eff05b0683320c532fadf945">matrix_part_copy</a></div><div class="ttdeci">void matrix_part_copy(uint8_t m, uint8_t n, matrix_t src_matrix[m][n], uint8_t start_row_ind, uint8_t end_row_ind, uint8_t start_col_ind, uint8_t end_col_ind, uint8_t dest_row_num, uint8_t dest_col_num, matrix_t dest_matrix[][dest_col_num])</div><div class="ttdoc">Copy a part of a matrix to another matrix or sub-matrix.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00089">matrix.c:89</a></div></div>
+<div class="ttc" id="amatrix_8c_html_a722a0230185fd66f0cecbeae7d50ce1a"><div class="ttname"><a href="matrix_8c.html#a722a0230185fd66f0cecbeae7d50ce1a">matrix_read</a></div><div class="ttdeci">matrix_t matrix_read(uint8_t m, uint8_t n, matrix_t matrix[m][n], uint8_t i, uint8_t j)</div><div class="ttdoc">Get the value of a matrix at the position (i,j).</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00895">matrix.c:895</a></div></div>
+<div class="ttc" id="amatrix_8c_html_acfd2bbc4a90915e57a4555694e842312"><div class="ttname"><a href="matrix_8c.html#acfd2bbc4a90915e57a4555694e842312">matrix_init</a></div><div class="ttdeci">void matrix_init(uint8_t m, uint8_t n, matrix_t matrix[m][n], matrix_t value)</div><div class="ttdoc">Initialize all the elements of the matrix with a specified value.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00051">matrix.c:51</a></div></div>
+<div class="ttc" id="amatrix_8c_html_a49aa70a7d6ad76388ea08acfe43b7374"><div class="ttname"><a href="matrix_8c.html#a49aa70a7d6ad76388ea08acfe43b7374">matrix_set_diag_elements</a></div><div class="ttdeci">void matrix_set_diag_elements(uint8_t m, uint8_t n, matrix_t value, matrix_t diag_matrix[m][n])</div><div class="ttdoc">Set all the diagonal elements of a matrix with a specified value.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00565">matrix.c:565</a></div></div>
+<div class="ttc" id="amatrix_8c_html_a72297a60e572f85929989e813388a9c5"><div class="ttname"><a href="matrix_8c.html#a72297a60e572f85929989e813388a9c5">matrix_flex_part_print</a></div><div class="ttdeci">void matrix_flex_part_print(uint8_t m, uint8_t n, matrix_t matrix[m][n], uint8_t start_row_ind, uint8_t end_row_ind, uint8_t start_col_ind, uint8_t end_col_ind, uint8_t before_dot, uint8_t after_dot)</div><div class="ttdoc">Display the values of the sub-matrix elements.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00247">matrix.c:247</a></div></div>
+<div class="ttc" id="amatrix_8c_html_a875d6c55a16ee9f8bf523b8c1c82bc6f"><div class="ttname"><a href="matrix_8c.html#a875d6c55a16ee9f8bf523b8c1c82bc6f">matrix_swap_rows</a></div><div class="ttdeci">void matrix_swap_rows(uint8_t n, matrix_t matrix[][n], uint8_t i, uint8_t j)</div><div class="ttdoc">Swaps two rows of a matrix.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00725">matrix.c:725</a></div></div>
+<div class="ttc" id="amatrix_8c_html_a550aa0d5a3212e35ad0af134895fd20a"><div class="ttname"><a href="matrix_8c.html#a550aa0d5a3212e35ad0af134895fd20a">matrix_mul</a></div><div class="ttdeci">void matrix_mul(uint8_t a_line_num, uint8_t a_col_num, matrix_t a_matrix[a_line_num][a_col_num], uint8_t b_line_num, uint8_t b_col_num, matrix_t b_matrix[b_line_num][b_col_num], matrix_t dest_matrix[a_line_num][b_col_num])</div><div class="ttdoc">Compute the multiplication of two matrices.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00363">matrix.c:363</a></div></div>
+<div class="ttc" id="amatrix_8c_html_a0a3d3cfa20ad3e75ad783af457343672"><div class="ttname"><a href="matrix_8c.html#a0a3d3cfa20ad3e75ad783af457343672">matrix_get_abs_max_elem_in_column</a></div><div class="ttdeci">matrix_t matrix_get_abs_max_elem_in_column(uint8_t m, uint8_t n, matrix_t matrix[m][n], uint8_t col_num)</div><div class="ttdoc">Get the maximum absolute value of a column vector in a matrix.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00651">matrix.c:651</a></div></div>
+<div class="ttc" id="amatrix_8h_html"><div class="ttname"><a href="matrix_8h.html">matrix.h</a></div><div class="ttdoc">Matrix computations.</div></div>
+<div class="ttc" id="amatrix_8c_html_a3ae0b9f73f82716f3427a523a3412864"><div class="ttname"><a href="matrix_8c.html#a3ae0b9f73f82716f3427a523a3412864">matrix_get_column_vec</a></div><div class="ttdeci">void matrix_get_column_vec(uint8_t m, uint8_t n, matrix_t matrix[m][n], uint8_t col_num, matrix_t col_vec[m])</div><div class="ttdoc">Get a column of a matrix.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00612">matrix.c:612</a></div></div>
+<div class="ttc" id="amatrix_8c_html_ae8d8daa117e9f96a5e29fe6c76c4998c"><div class="ttname"><a href="matrix_8c.html#ae8d8daa117e9f96a5e29fe6c76c4998c">matrix_copy</a></div><div class="ttdeci">void matrix_copy(uint8_t m, uint8_t n, matrix_t src_matrix[m][n], matrix_t dest_matrix[m][n])</div><div class="ttdoc">Copy the elements of a matrix to another matrix.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00083">matrix.c:83</a></div></div>
+<div class="ttc" id="autils_8h_html"><div class="ttname"><a href="utils_8h.html">utils.h</a></div><div class="ttdoc">Utilities for linear algebra.</div></div>
+<div class="ttc" id="amatrix_8c_html_ac20399f6a8de13b1f392a1e3f7c0fbf4"><div class="ttname"><a href="matrix_8c.html#ac20399f6a8de13b1f392a1e3f7c0fbf4">matrix_get_part_column_vec</a></div><div class="ttdeci">void matrix_get_part_column_vec(uint8_t max_m, uint8_t max_n, matrix_t matrix[max_m][max_n], uint8_t col_num, uint8_t offset, matrix_t col_vec[max_m - offset])</div><div class="ttdoc">Get a part of a column of a matrix.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00623">matrix.c:623</a></div></div>
+<div class="ttc" id="amatrix_8c_html_a06f75ae4924e3f0dfd0b6a25313dc731"><div class="ttname"><a href="matrix_8c.html#a06f75ae4924e3f0dfd0b6a25313dc731">matrix_part_mul_scalar_vec_matr</a></div><div class="ttdeci">void matrix_part_mul_scalar_vec_matr(uint8_t max_m, uint8_t max_n, matrix_t scalar, matrix_t vec[max_m], matrix_t matrix[max_m][max_n], uint8_t begin_row, uint8_t begin_column, matrix_t dst_arr[max_n - begin_row])</div><div class="ttdoc">Compute the multiplication of a scalar with row vector and a sub-matrix.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00489">matrix.c:489</a></div></div>
+<div class="ttc" id="amatrix_8c_html_aaf85a32b8562c91d2d1889819580375e"><div class="ttname"><a href="matrix_8c.html#aaf85a32b8562c91d2d1889819580375e">matrix_get_frob_norm</a></div><div class="ttdeci">double matrix_get_frob_norm(uint8_t m, uint8_t n, matrix_t A[][n])</div><div class="ttdoc">Get the Frobenius norm of a matrix.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00782">matrix.c:782</a></div></div>
+<div class="ttc" id="amatrix_8c_html_a5f6a1948ec005cff4985559821c4943f"><div class="ttname"><a href="matrix_8c.html#a5f6a1948ec005cff4985559821c4943f">matrix_get_abs_max_elem_and_index_in_part_column</a></div><div class="ttdeci">matrix_t matrix_get_abs_max_elem_and_index_in_part_column(uint8_t max_m, uint8_t max_n, matrix_t matrix[max_m][max_n], uint8_t row_num, uint8_t col_num, uint8_t *index)</div><div class="ttdoc">Get the maximum absolute value and its position in a column vector in a sub-matrix.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00703">matrix.c:703</a></div></div>
+<div class="ttc" id="astructmatrix__dim__t_html"><div class="ttname"><a href="structmatrix__dim__t.html">matrix_dim_t</a></div><div class="ttdoc">A structure to define the row and column number of a matrix.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8h_source.html#l00060">matrix.h:60</a></div></div>
+<div class="ttc" id="amatrix_8c_html_ac7101bbaa3a2698658276a7e21501093"><div class="ttname"><a href="matrix_8c.html#ac7101bbaa3a2698658276a7e21501093">matrix_add</a></div><div class="ttdeci">void matrix_add(uint8_t m, uint8_t n, matrix_t A[m][n], matrix_t B[m][n], matrix_t A_plus_B[m][n])</div><div class="ttdoc">Compute the addition of two matrices.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00341">matrix.c:341</a></div></div>
+<div class="ttc" id="amatrix_8c_html_a0107887a6c40980fa639750be8262f01"><div class="ttname"><a href="matrix_8c.html#a0107887a6c40980fa639750be8262f01">matrix_trans_mul_itself</a></div><div class="ttdeci">void matrix_trans_mul_itself(uint8_t m, uint8_t n, matrix_t A[m][n], matrix_t AT_mul_A[n][n])</div><div class="ttdoc">Compute the multiplication of the transpose of a matrix with itself.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00545">matrix.c:545</a></div></div>
+<div class="ttc" id="autils_8h_html_a335d8d6c4b945638261228cd116cccd6"><div class="ttname"><a href="utils_8h.html#a335d8d6c4b945638261228cd116cccd6">utils_printf</a></div><div class="ttdeci">void utils_printf(char *format_str,...)</div><div class="ttdoc">Print by using variable format string as well as argument lists.</div><div class="ttdef"><b>Definition:</b> <a href="utils_8c_source.html#l00096">utils.c:96</a></div></div>
+<div class="ttc" id="amatrix_8c_html_aa8acafd4181978f536976f8151e51516"><div class="ttname"><a href="matrix_8c.html#aa8acafd4181978f536976f8151e51516">matrix_add_to_diag</a></div><div class="ttdeci">void matrix_add_to_diag(uint8_t n, matrix_t A[][n], uint8_t diag_el_num, matrix_t value)</div><div class="ttdoc">Add a number to diagonal elements of a matrix.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00353">matrix.c:353</a></div></div>
+<div class="ttc" id="amatrix_8c_html_ad386233d68c73656a03641ddf3ecaaf2"><div class="ttname"><a href="matrix_8c.html#ad386233d68c73656a03641ddf3ecaaf2">matrix_flex_print</a></div><div class="ttdeci">void matrix_flex_print(uint8_t m, uint8_t n, matrix_t matrix[m][n], uint8_t before_dot, uint8_t after_dot)</div><div class="ttdoc">Display the values of the matrix elements.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00220">matrix.c:220</a></div></div>
+<div class="ttc" id="amatrix_8c_html_a53b0a1829b2085414fb66a9e9bd6c7b7"><div class="ttname"><a href="matrix_8c.html#a53b0a1829b2085414fb66a9e9bd6c7b7">matrix_trans_mul_vec</a></div><div class="ttdeci">void matrix_trans_mul_vec(uint8_t m, uint8_t n, matrix_t A[m][n], uint8_t b_size, matrix_t b_vec[m], matrix_t c_vec[n])</div><div class="ttdoc">Compute the multiplication of transposed matrix with column vector.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00511">matrix.c:511</a></div></div>
+<div class="ttc" id="amatrix_8c_html_a3cf18a2c5c6ad62a4e0a0c00d27e2887"><div class="ttname"><a href="matrix_8c.html#a3cf18a2c5c6ad62a4e0a0c00d27e2887">matrix_vec_mul_matr</a></div><div class="ttdeci">void matrix_vec_mul_matr(uint8_t m, uint8_t n, matrix_t vec[m], matrix_t matrix[m][n], matrix_t dst_arr[n])</div><div class="ttdoc">Compute the multiplication of row vector and a matrix.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00452">matrix.c:452</a></div></div>
+<div class="ttc" id="amatrix_8c_html_a3570c016691507c003dd7a54cb37e7e2"><div class="ttname"><a href="matrix_8c.html#a3570c016691507c003dd7a54cb37e7e2">matrix_part_swap_rows</a></div><div class="ttdeci">void matrix_part_swap_rows(uint8_t n, matrix_t matrix[][n], uint8_t i, uint8_t j, uint8_t col_begin, uint8_t col_end)</div><div class="ttdoc">Swaps two rows of a sub-matrix.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00736">matrix.c:736</a></div></div>
+<div class="ttc" id="amatrix_8c_html_a90b6eafa665d34d7330581c32564d632"><div class="ttname"><a href="matrix_8c.html#a90b6eafa665d34d7330581c32564d632">matrix_write</a></div><div class="ttdeci">void matrix_write(uint8_t m, uint8_t n, matrix_t matrix[m][n], uint8_t i, uint8_t j, matrix_t val)</div><div class="ttdoc">Write a value in a matrix at the position (i,j).</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00901">matrix.c:901</a></div></div>
+<div class="ttc" id="asvd_8h_html"><div class="ttname"><a href="svd_8h.html">svd.h</a></div><div class="ttdoc">Algorithm for the Singular Value Decomposition (SVD).</div></div>
+<div class="ttc" id="amatrix_8c_html_ae808f007791f060590d39c7668501988"><div class="ttname"><a href="matrix_8c.html#ae808f007791f060590d39c7668501988">matrix_get_diag_mat_new</a></div><div class="ttdeci">void matrix_get_diag_mat_new(uint8_t m, uint8_t n, matrix_t diag_matrix[m][n], uint8_t length, matrix_t vec[])</div><div class="ttdoc">Set all the diagonal elements of a matrix with values that are saved in a vector.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00581">matrix.c:581</a></div></div>
+<div class="ttc" id="asvd_8h_html_a91b85e542b1fc44d3500ba52aecb8e0e"><div class="ttname"><a href="svd_8h.html#a91b85e542b1fc44d3500ba52aecb8e0e">svd_get_single_values_num</a></div><div class="ttdeci">uint8_t svd_get_single_values_num(uint8_t m, uint8_t n)</div><div class="ttdoc">Calculate the number of the singular values.</div><div class="ttdef"><b>Definition:</b> <a href="svd_8c_source.html#l00114">svd.c:114</a></div></div>
+<div class="ttc" id="amatrix_8c_html_ad610bcce232c69ca302550f57b1ad9fb"><div class="ttname"><a href="matrix_8c.html#ad610bcce232c69ca302550f57b1ad9fb">matrix_mul_vec</a></div><div class="ttdeci">void matrix_mul_vec(uint8_t m, uint8_t n, matrix_t matrix[m][n], matrix_t vec[n], matrix_t dst_arr[m])</div><div class="ttdoc">Compute the multiplication of a matrix with a column vector.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00434">matrix.c:434</a></div></div>
+<div class="ttc" id="amatrix_8c_html_adfd93dda9be9b2e8df5805af7fee7845"><div class="ttname"><a href="matrix_8c.html#adfd93dda9be9b2e8df5805af7fee7845">matrix_get_low_triang</a></div><div class="ttdeci">void matrix_get_low_triang(uint8_t m, uint8_t n, matrix_t A[][n], matrix_t tr_low_A[][n])</div><div class="ttdoc">Gets the lower triangular part of a matrix.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00868">matrix.c:868</a></div></div>
+<div class="ttc" id="amatrix_8h_html_af38ac6b76d645fea9abd6caeb4d9dd31"><div class="ttname"><a href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a></div><div class="ttdeci">#define matrix_t</div><div class="ttdoc">Define the data type of the matrix elements.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8h_source.html#l00038">matrix.h:38</a></div></div>
+<div class="ttc" id="amatrix_8c_html_aef8d1508ad101227ab255a714ab22b94"><div class="ttname"><a href="matrix_8c.html#aef8d1508ad101227ab255a714ab22b94">matrix_get_max_elem_in_column</a></div><div class="ttdeci">matrix_t matrix_get_max_elem_in_column(uint8_t m, uint8_t n, matrix_t matrix[m][n], uint8_t col_num)</div><div class="ttdoc">Get the largest element of a column vector in a matrix.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00635">matrix.c:635</a></div></div>
+<div class="ttc" id="amatrix_8c_html_a53879e7c4cfbc96725aef9f8234be7dd"><div class="ttname"><a href="matrix_8c.html#a53879e7c4cfbc96725aef9f8234be7dd">matrix_get_rank</a></div><div class="ttdeci">uint8_t matrix_get_rank(uint8_t m, uint8_t n, matrix_t singl_values_arr[], uint8_t length)</div><div class="ttdoc">Compute the rank of a matrix.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00312">matrix.c:312</a></div></div>
+<div class="ttc" id="amatrix_8c_html_a18e47742f1653dcc4491badfe2537a0a"><div class="ttname"><a href="matrix_8c.html#a18e47742f1653dcc4491badfe2537a0a">matrix_get_diag_mat</a></div><div class="ttdeci">void matrix_get_diag_mat(uint8_t m, uint8_t n, matrix_t value, matrix_t diag_matrix[m][n])</div><div class="ttdoc">Create a diagonal matrix with a specified value.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00594">matrix.c:594</a></div></div>
+<div class="ttc" id="amatrix_8c_html_a3763252ca00e4c8522ae1bfd5ef40f0a"><div class="ttname"><a href="matrix_8c.html#a3763252ca00e4c8522ae1bfd5ef40f0a">matrix_part_mul</a></div><div class="ttdeci">void matrix_part_mul(uint8_t a_col_num_max, matrix_t a_matrix[][a_col_num_max], uint8_t b_col_num_max, matrix_t b_matrix[][b_col_num_max], uint8_t a_start_row_ind, uint8_t a_end_row_ind, uint8_t a_start_col_ind, uint8_t a_end_col_ind, uint8_t b_start_row_ind, uint8_t b_end_row_ind, uint8_t b_start_col_ind, uint8_t b_end_col_ind, uint8_t dest_col_size, matrix_t dest_matrix[][dest_col_size])</div><div class="ttdoc">Compute the partial multiplication of two matrices.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00391">matrix.c:391</a></div></div>
+<div class="ttc" id="amatrix_8c_html_a0e06b2cfb86340e88be7b1219bef0ce3"><div class="ttname"><a href="matrix_8c.html#a0e06b2cfb86340e88be7b1219bef0ce3">matrix_clear</a></div><div class="ttdeci">void matrix_clear(uint8_t m, uint8_t n, matrix_t matrix[m][n])</div><div class="ttdoc">Clear all the elements of the vector.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00046">matrix.c:46</a></div></div>
+<div class="ttc" id="amatrix_8c_html_ae8e87640fa1a2d259ee4dc98c955cb48"><div class="ttname"><a href="matrix_8c.html#ae8e87640fa1a2d259ee4dc98c955cb48">matrix_get_inv_low_triang</a></div><div class="ttdeci">void matrix_get_inv_low_triang(uint8_t m, uint8_t n, matrix_t L[][n], matrix_t inv_L[][m])</div><div class="ttdoc">Computes the inverse a lower triangular matrix.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00817">matrix.c:817</a></div></div>
+<div class="ttc" id="amatrix_8c_html_aed6fab1ffa40243eeb08117215082be3"><div class="ttname"><a href="matrix_8c.html#aed6fab1ffa40243eeb08117215082be3">matrix_sub</a></div><div class="ttdeci">void matrix_sub(uint8_t m, uint8_t n, matrix_t A[m][n], matrix_t B[m][n], matrix_t A_minus_B[m][n])</div><div class="ttdoc">Compute the subtraction of two matrices.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00329">matrix.c:329</a></div></div>
+<div class="ttc" id="amatrix_8c_html_abbaf8f39b2b7bb4bd2987f99674c1213"><div class="ttname"><a href="matrix_8c.html#abbaf8f39b2b7bb4bd2987f99674c1213">matrix_get_upp_triang</a></div><div class="ttdeci">void matrix_get_upp_triang(uint8_t m, uint8_t n, matrix_t A[][n], matrix_t tr_up_A[][n])</div><div class="ttdoc">Gets the upper triangular part of a matrix.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00841">matrix.c:841</a></div></div>
+<div class="ttc" id="asvd_8h_html_a8194826f85cc3105c4d8d4f342ca8df8"><div class="ttname"><a href="svd_8h.html#a8194826f85cc3105c4d8d4f342ca8df8">svd_get_U_dim</a></div><div class="ttdeci">void svd_get_U_dim(uint8_t m, uint8_t n, matrix_dim_t *u_dim)</div><div class="ttdoc">Calculate the dimension of the matrix U.</div><div class="ttdef"><b>Definition:</b> <a href="svd_8c_source.html#l00096">svd.c:96</a></div></div>
+<div class="ttc" id="amatrix_8c_html_ad2cecc467ac6480ef0f3423f962b39bc"><div class="ttname"><a href="matrix_8c.html#ad2cecc467ac6480ef0f3423f962b39bc">matrix_get_max_elem_in_part_column</a></div><div class="ttdeci">matrix_t matrix_get_max_elem_in_part_column(uint8_t max_m, uint8_t max_n, matrix_t matrix[max_m][max_n], uint8_t row_num, uint8_t col_num)</div><div class="ttdoc">Get the largest element of a column vector in a sub-matrix.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00668">matrix.c:668</a></div></div>
+<div class="ttc" id="astructmatrix__dim__t_html_aac6b6ff205184047714d5c22019bdbab"><div class="ttname"><a href="structmatrix__dim__t.html#aac6b6ff205184047714d5c22019bdbab">matrix_dim_t::col_num</a></div><div class="ttdeci">uint8_t col_num</div><div class="ttdoc">the column number</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8h_source.html#l00062">matrix.h:62</a></div></div>
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+<a href="#nested-classes">Data Structures</a> |
+<a href="#define-members">Macros</a> |
+<a href="#func-members">Functions</a> </div>
+ <div class="headertitle">
+<div class="title">matrix.h File Reference<div class="ingroups"><a class="el" href="group__linear__algebra.html">LINEAR_ALGEBRA</a> » <a class="el" href="group__basic__operations.html">BASIC_OPERATIONS</a></div></div> </div>
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+
+<p>Matrix computations.
+<a href="#details">More...</a></p>
+<div class="textblock"><code>#include <inttypes.h></code><br />
+<code>#include <stdbool.h></code><br />
+</div>
+<p><a href="matrix_8h_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="nested-classes"></a>
+Data Structures</h2></td></tr>
+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct  </td><td class="memItemRight" valign="bottom"><a class="el" href="structmatrix__dim__t.html">matrix_dim_t</a></td></tr>
+<tr class="memdesc:"><td class="mdescLeft"> </td><td class="mdescRight">A structure to define the row and column number of a matrix. <a href="structmatrix__dim__t.html#details">More...</a><br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="define-members"></a>
+Macros</h2></td></tr>
+<tr class="memitem:af38ac6b76d645fea9abd6caeb4d9dd31"><td class="memItemLeft" align="right" valign="top">#define </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a>   double</td></tr>
+<tr class="memdesc:af38ac6b76d645fea9abd6caeb4d9dd31"><td class="mdescLeft"> </td><td class="mdescRight">Define the data type of the matrix elements. <a href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">More...</a><br /></td></tr>
+<tr class="separator:af38ac6b76d645fea9abd6caeb4d9dd31"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:af57ae8796956bfd0ee173b9040ba5192"><td class="memItemLeft" align="right" valign="top">#define </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8h.html#af57ae8796956bfd0ee173b9040ba5192">MACHEPS</a>   2E-16</td></tr>
+<tr class="separator:af57ae8796956bfd0ee173b9040ba5192"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:ae71449b1cc6e6250b91f539153a7a0d3"><td class="memItemLeft" align="right" valign="top">#define </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8h.html#ae71449b1cc6e6250b91f539153a7a0d3">M_PI</a>   3.14159265358979323846</td></tr>
+<tr class="separator:ae71449b1cc6e6250b91f539153a7a0d3"><td class="memSeparator" colspan="2"> </td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:acfd2bbc4a90915e57a4555694e842312"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8h.html#acfd2bbc4a90915e57a4555694e842312">matrix_init</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[m][n], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> value)</td></tr>
+<tr class="memdesc:acfd2bbc4a90915e57a4555694e842312"><td class="mdescLeft"> </td><td class="mdescRight">Initialize all the elements of the matrix with a specified value. <a href="matrix_8h.html#acfd2bbc4a90915e57a4555694e842312">More...</a><br /></td></tr>
+<tr class="separator:acfd2bbc4a90915e57a4555694e842312"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a0e06b2cfb86340e88be7b1219bef0ce3"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8h.html#a0e06b2cfb86340e88be7b1219bef0ce3">matrix_clear</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[m][n])</td></tr>
+<tr class="memdesc:a0e06b2cfb86340e88be7b1219bef0ce3"><td class="mdescLeft"> </td><td class="mdescRight">Clear all the elements of the vector. <a href="matrix_8h.html#a0e06b2cfb86340e88be7b1219bef0ce3">More...</a><br /></td></tr>
+<tr class="separator:a0e06b2cfb86340e88be7b1219bef0ce3"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:ad7c9a682a3cc4ca33c030afa8798241a"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8h.html#ad7c9a682a3cc4ca33c030afa8798241a">matrix_transpose</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> src_matrix[m][n], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> dest_matrix[n][m])</td></tr>
+<tr class="memdesc:ad7c9a682a3cc4ca33c030afa8798241a"><td class="mdescLeft"> </td><td class="mdescRight">Computes the transpose of a matrix. <a href="matrix_8h.html#ad7c9a682a3cc4ca33c030afa8798241a">More...</a><br /></td></tr>
+<tr class="separator:ad7c9a682a3cc4ca33c030afa8798241a"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a48b36217faeda15438f4e07c54d0ef9e"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8h.html#a48b36217faeda15438f4e07c54d0ef9e">matrix_in_place_transpose</a> (uint8_t m, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[][m])</td></tr>
+<tr class="memdesc:a48b36217faeda15438f4e07c54d0ef9e"><td class="mdescLeft"> </td><td class="mdescRight">Computes the in-place transpose of a matrix. <a href="matrix_8h.html#a48b36217faeda15438f4e07c54d0ef9e">More...</a><br /></td></tr>
+<tr class="separator:a48b36217faeda15438f4e07c54d0ef9e"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:ae8d8daa117e9f96a5e29fe6c76c4998c"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8h.html#ae8d8daa117e9f96a5e29fe6c76c4998c">matrix_copy</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> src_matrix[m][n], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> dest_matrix[m][n])</td></tr>
+<tr class="memdesc:ae8d8daa117e9f96a5e29fe6c76c4998c"><td class="mdescLeft"> </td><td class="mdescRight">Copy the elements of a matrix to another matrix. <a href="matrix_8h.html#ae8d8daa117e9f96a5e29fe6c76c4998c">More...</a><br /></td></tr>
+<tr class="separator:ae8d8daa117e9f96a5e29fe6c76c4998c"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a56513a88eff05b0683320c532fadf945"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8h.html#a56513a88eff05b0683320c532fadf945">matrix_part_copy</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> src_matrix[m][n], uint8_t start_row_ind, uint8_t end_row_ind, uint8_t start_col_ind, uint8_t end_col_ind, uint8_t dest_row_num, uint8_t dest_col_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> dest_matrix[][dest_col_num])</td></tr>
+<tr class="memdesc:a56513a88eff05b0683320c532fadf945"><td class="mdescLeft"> </td><td class="mdescRight">Copy a part of a matrix to another matrix or sub-matrix. <a href="matrix_8h.html#a56513a88eff05b0683320c532fadf945">More...</a><br /></td></tr>
+<tr class="separator:a56513a88eff05b0683320c532fadf945"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a53879e7c4cfbc96725aef9f8234be7dd"><td class="memItemLeft" align="right" valign="top">uint8_t </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8h.html#a53879e7c4cfbc96725aef9f8234be7dd">matrix_get_rank</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> singl_values_arr[], uint8_t length)</td></tr>
+<tr class="memdesc:a53879e7c4cfbc96725aef9f8234be7dd"><td class="mdescLeft"> </td><td class="mdescRight">Compute the rank of a matrix. <a href="matrix_8h.html#a53879e7c4cfbc96725aef9f8234be7dd">More...</a><br /></td></tr>
+<tr class="separator:a53879e7c4cfbc96725aef9f8234be7dd"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:ac7101bbaa3a2698658276a7e21501093"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8h.html#ac7101bbaa3a2698658276a7e21501093">matrix_add</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[m][n], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> B[m][n], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A_plus_B[m][n])</td></tr>
+<tr class="memdesc:ac7101bbaa3a2698658276a7e21501093"><td class="mdescLeft"> </td><td class="mdescRight">Compute the addition of two matrices. <a href="matrix_8h.html#ac7101bbaa3a2698658276a7e21501093">More...</a><br /></td></tr>
+<tr class="separator:ac7101bbaa3a2698658276a7e21501093"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:aa8acafd4181978f536976f8151e51516"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8h.html#aa8acafd4181978f536976f8151e51516">matrix_add_to_diag</a> (uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[][n], uint8_t diag_el_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> value)</td></tr>
+<tr class="memdesc:aa8acafd4181978f536976f8151e51516"><td class="mdescLeft"> </td><td class="mdescRight">Add a number to diagonal elements of a matrix. <a href="matrix_8h.html#aa8acafd4181978f536976f8151e51516">More...</a><br /></td></tr>
+<tr class="separator:aa8acafd4181978f536976f8151e51516"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:aed6fab1ffa40243eeb08117215082be3"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8h.html#aed6fab1ffa40243eeb08117215082be3">matrix_sub</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[m][n], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> B[m][n], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A_minus_B[m][n])</td></tr>
+<tr class="memdesc:aed6fab1ffa40243eeb08117215082be3"><td class="mdescLeft"> </td><td class="mdescRight">Compute the subtraction of two matrices. <a href="matrix_8h.html#aed6fab1ffa40243eeb08117215082be3">More...</a><br /></td></tr>
+<tr class="separator:aed6fab1ffa40243eeb08117215082be3"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a550aa0d5a3212e35ad0af134895fd20a"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8h.html#a550aa0d5a3212e35ad0af134895fd20a">matrix_mul</a> (uint8_t a_line_num, uint8_t a_col_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> a_matrix[a_line_num][a_col_num], uint8_t b_line_num, uint8_t b_col_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> b_matrix[b_line_num][b_col_num], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> dest_matrix[a_line_num][b_col_num])</td></tr>
+<tr class="memdesc:a550aa0d5a3212e35ad0af134895fd20a"><td class="mdescLeft"> </td><td class="mdescRight">Compute the multiplication of two matrices. <a href="matrix_8h.html#a550aa0d5a3212e35ad0af134895fd20a">More...</a><br /></td></tr>
+<tr class="separator:a550aa0d5a3212e35ad0af134895fd20a"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a3763252ca00e4c8522ae1bfd5ef40f0a"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8h.html#a3763252ca00e4c8522ae1bfd5ef40f0a">matrix_part_mul</a> (uint8_t a_col_num_max, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> a_matrix[][a_col_num_max], uint8_t b_col_num_max, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> b_matrix[][b_col_num_max], uint8_t a_start_row_ind, uint8_t a_end_row_ind, uint8_t a_start_col_ind, uint8_t a_end_col_ind, uint8_t b_start_row_ind, uint8_t b_end_row_ind, uint8_t b_start_col_ind, uint8_t b_end_col_ind, uint8_t dest_col_size, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> dest_matrix[][dest_col_size])</td></tr>
+<tr class="memdesc:a3763252ca00e4c8522ae1bfd5ef40f0a"><td class="mdescLeft"> </td><td class="mdescRight">Compute the partial multiplication of two matrices. <a href="matrix_8h.html#a3763252ca00e4c8522ae1bfd5ef40f0a">More...</a><br /></td></tr>
+<tr class="separator:a3763252ca00e4c8522ae1bfd5ef40f0a"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:ad610bcce232c69ca302550f57b1ad9fb"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8h.html#ad610bcce232c69ca302550f57b1ad9fb">matrix_mul_vec</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[m][n], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> vec[n], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> dst_arr[m])</td></tr>
+<tr class="memdesc:ad610bcce232c69ca302550f57b1ad9fb"><td class="mdescLeft"> </td><td class="mdescRight">Compute the multiplication of a matrix with a column vector. <a href="matrix_8h.html#ad610bcce232c69ca302550f57b1ad9fb">More...</a><br /></td></tr>
+<tr class="separator:ad610bcce232c69ca302550f57b1ad9fb"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a53b0a1829b2085414fb66a9e9bd6c7b7"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8h.html#a53b0a1829b2085414fb66a9e9bd6c7b7">matrix_trans_mul_vec</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[m][n], uint8_t b_size, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> b_vec[m], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> c_vec[n])</td></tr>
+<tr class="memdesc:a53b0a1829b2085414fb66a9e9bd6c7b7"><td class="mdescLeft"> </td><td class="mdescRight">Compute the multiplication of transposed matrix with column vector. <a href="matrix_8h.html#a53b0a1829b2085414fb66a9e9bd6c7b7">More...</a><br /></td></tr>
+<tr class="separator:a53b0a1829b2085414fb66a9e9bd6c7b7"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:acfd7c6f021f4fbcd393fe849c82f34de"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8h.html#acfd7c6f021f4fbcd393fe849c82f34de">matrix_mul_col_vec_row_vec</a> (uint8_t m, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> col_vec[m], uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> row_vec[n], uint8_t max_n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> res_mat[][max_n])</td></tr>
+<tr class="memdesc:acfd7c6f021f4fbcd393fe849c82f34de"><td class="mdescLeft"> </td><td class="mdescRight">Compute the multiplication of a column and row vector. <a href="matrix_8h.html#acfd7c6f021f4fbcd393fe849c82f34de">More...</a><br /></td></tr>
+<tr class="separator:acfd7c6f021f4fbcd393fe849c82f34de"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a3cf18a2c5c6ad62a4e0a0c00d27e2887"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8h.html#a3cf18a2c5c6ad62a4e0a0c00d27e2887">matrix_vec_mul_matr</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> vec[m], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[m][n], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> dst_arr[n])</td></tr>
+<tr class="memdesc:a3cf18a2c5c6ad62a4e0a0c00d27e2887"><td class="mdescLeft"> </td><td class="mdescRight">Compute the multiplication of row vector and a matrix. <a href="matrix_8h.html#a3cf18a2c5c6ad62a4e0a0c00d27e2887">More...</a><br /></td></tr>
+<tr class="separator:a3cf18a2c5c6ad62a4e0a0c00d27e2887"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:ac735d13efe5b76ecf60ac13ec79da8e3"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8h.html#ac735d13efe5b76ecf60ac13ec79da8e3">matrix_mul_scalar_vec_matr</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> scalar, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> vec[m], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[m][n], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> dst_arr[n])</td></tr>
+<tr class="memdesc:ac735d13efe5b76ecf60ac13ec79da8e3"><td class="mdescLeft"> </td><td class="mdescRight">Compute the multiplication of a scalar with row vector and a matrix. <a href="matrix_8h.html#ac735d13efe5b76ecf60ac13ec79da8e3">More...</a><br /></td></tr>
+<tr class="separator:ac735d13efe5b76ecf60ac13ec79da8e3"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a0107887a6c40980fa639750be8262f01"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8h.html#a0107887a6c40980fa639750be8262f01">matrix_trans_mul_itself</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[m][n], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> AT_mul_A[n][n])</td></tr>
+<tr class="memdesc:a0107887a6c40980fa639750be8262f01"><td class="mdescLeft"> </td><td class="mdescRight">Compute the multiplication of the transpose of a matrix with itself. <a href="matrix_8h.html#a0107887a6c40980fa639750be8262f01">More...</a><br /></td></tr>
+<tr class="separator:a0107887a6c40980fa639750be8262f01"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a49aa70a7d6ad76388ea08acfe43b7374"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8h.html#a49aa70a7d6ad76388ea08acfe43b7374">matrix_set_diag_elements</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> value, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> diag_matrix[m][n])</td></tr>
+<tr class="memdesc:a49aa70a7d6ad76388ea08acfe43b7374"><td class="mdescLeft"> </td><td class="mdescRight">Set all the diagonal elements of a matrix with a specified value. <a href="matrix_8h.html#a49aa70a7d6ad76388ea08acfe43b7374">More...</a><br /></td></tr>
+<tr class="separator:a49aa70a7d6ad76388ea08acfe43b7374"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:ae808f007791f060590d39c7668501988"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8h.html#ae808f007791f060590d39c7668501988">matrix_get_diag_mat_new</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> diag_matrix[m][n], uint8_t length, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> vec[])</td></tr>
+<tr class="memdesc:ae808f007791f060590d39c7668501988"><td class="mdescLeft"> </td><td class="mdescRight">Set all the diagonal elements of a matrix with values that are saved in a vector. <a href="matrix_8h.html#ae808f007791f060590d39c7668501988">More...</a><br /></td></tr>
+<tr class="separator:ae808f007791f060590d39c7668501988"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a18e47742f1653dcc4491badfe2537a0a"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8h.html#a18e47742f1653dcc4491badfe2537a0a">matrix_get_diag_mat</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> value, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> diag_matrix[m][n])</td></tr>
+<tr class="memdesc:a18e47742f1653dcc4491badfe2537a0a"><td class="mdescLeft"> </td><td class="mdescRight">Create a diagonal matrix with a specified value. <a href="matrix_8h.html#a18e47742f1653dcc4491badfe2537a0a">More...</a><br /></td></tr>
+<tr class="separator:a18e47742f1653dcc4491badfe2537a0a"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a51139e6c87b602e5e0ebfbc406fda35d"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8h.html#a51139e6c87b602e5e0ebfbc406fda35d">matrix_mul_scalar</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> mat_src[m][n], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> value, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> mat_dest[m][n])</td></tr>
+<tr class="memdesc:a51139e6c87b602e5e0ebfbc406fda35d"><td class="mdescLeft"> </td><td class="mdescRight">Multiply all elements of a matrix with a specified value. <a href="matrix_8h.html#a51139e6c87b602e5e0ebfbc406fda35d">More...</a><br /></td></tr>
+<tr class="separator:a51139e6c87b602e5e0ebfbc406fda35d"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a3ae0b9f73f82716f3427a523a3412864"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8h.html#a3ae0b9f73f82716f3427a523a3412864">matrix_get_column_vec</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[m][n], uint8_t col_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> col_vec[m])</td></tr>
+<tr class="memdesc:a3ae0b9f73f82716f3427a523a3412864"><td class="mdescLeft"> </td><td class="mdescRight">Get a column of a matrix. <a href="matrix_8h.html#a3ae0b9f73f82716f3427a523a3412864">More...</a><br /></td></tr>
+<tr class="separator:a3ae0b9f73f82716f3427a523a3412864"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:ac20399f6a8de13b1f392a1e3f7c0fbf4"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8h.html#ac20399f6a8de13b1f392a1e3f7c0fbf4">matrix_get_part_column_vec</a> (uint8_t max_m, uint8_t max_n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[max_m][max_n], uint8_t col_num, uint8_t offset, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> col_vec[max_m - offset])</td></tr>
+<tr class="memdesc:ac20399f6a8de13b1f392a1e3f7c0fbf4"><td class="mdescLeft"> </td><td class="mdescRight">Get a part of a column of a matrix. <a href="matrix_8h.html#ac20399f6a8de13b1f392a1e3f7c0fbf4">More...</a><br /></td></tr>
+<tr class="separator:ac20399f6a8de13b1f392a1e3f7c0fbf4"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:aef8d1508ad101227ab255a714ab22b94"><td class="memItemLeft" align="right" valign="top"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8h.html#aef8d1508ad101227ab255a714ab22b94">matrix_get_max_elem_in_column</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[m][n], uint8_t col_num)</td></tr>
+<tr class="memdesc:aef8d1508ad101227ab255a714ab22b94"><td class="mdescLeft"> </td><td class="mdescRight">Get the largest element of a column vector in a matrix. <a href="matrix_8h.html#aef8d1508ad101227ab255a714ab22b94">More...</a><br /></td></tr>
+<tr class="separator:aef8d1508ad101227ab255a714ab22b94"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a0a3d3cfa20ad3e75ad783af457343672"><td class="memItemLeft" align="right" valign="top"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8h.html#a0a3d3cfa20ad3e75ad783af457343672">matrix_get_abs_max_elem_in_column</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[m][n], uint8_t col_num)</td></tr>
+<tr class="memdesc:a0a3d3cfa20ad3e75ad783af457343672"><td class="mdescLeft"> </td><td class="mdescRight">Get the maximum absolute value of a column vector in a matrix. <a href="matrix_8h.html#a0a3d3cfa20ad3e75ad783af457343672">More...</a><br /></td></tr>
+<tr class="separator:a0a3d3cfa20ad3e75ad783af457343672"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:ad2cecc467ac6480ef0f3423f962b39bc"><td class="memItemLeft" align="right" valign="top"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8h.html#ad2cecc467ac6480ef0f3423f962b39bc">matrix_get_max_elem_in_part_column</a> (uint8_t max_m, uint8_t max_n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[max_m][max_n], uint8_t row_num, uint8_t col_num)</td></tr>
+<tr class="memdesc:ad2cecc467ac6480ef0f3423f962b39bc"><td class="mdescLeft"> </td><td class="mdescRight">Get the largest element of a column vector in a sub-matrix. <a href="matrix_8h.html#ad2cecc467ac6480ef0f3423f962b39bc">More...</a><br /></td></tr>
+<tr class="separator:ad2cecc467ac6480ef0f3423f962b39bc"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a8d77cfae4f1da83acac929c1ce13d252"><td class="memItemLeft" align="right" valign="top"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8h.html#a8d77cfae4f1da83acac929c1ce13d252">matrix_get_abs_max_elem_in_part_column</a> (uint8_t max_m, uint8_t max_n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[max_m][max_n], uint8_t row_num, uint8_t col_num)</td></tr>
+<tr class="memdesc:a8d77cfae4f1da83acac929c1ce13d252"><td class="mdescLeft"> </td><td class="mdescRight">Get the maximum absolute value of a column vector in a sub-matrix. <a href="matrix_8h.html#a8d77cfae4f1da83acac929c1ce13d252">More...</a><br /></td></tr>
+<tr class="separator:a8d77cfae4f1da83acac929c1ce13d252"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a5f6a1948ec005cff4985559821c4943f"><td class="memItemLeft" align="right" valign="top"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8h.html#a5f6a1948ec005cff4985559821c4943f">matrix_get_abs_max_elem_and_index_in_part_column</a> (uint8_t max_m, uint8_t max_n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[max_m][max_n], uint8_t row_num, uint8_t col_num, uint8_t *index)</td></tr>
+<tr class="memdesc:a5f6a1948ec005cff4985559821c4943f"><td class="mdescLeft"> </td><td class="mdescRight">Get the maximum absolute value and its position in a column vector in a sub-matrix. <a href="matrix_8h.html#a5f6a1948ec005cff4985559821c4943f">More...</a><br /></td></tr>
+<tr class="separator:a5f6a1948ec005cff4985559821c4943f"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a875d6c55a16ee9f8bf523b8c1c82bc6f"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8h.html#a875d6c55a16ee9f8bf523b8c1c82bc6f">matrix_swap_rows</a> (uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[][n], uint8_t i, uint8_t j)</td></tr>
+<tr class="memdesc:a875d6c55a16ee9f8bf523b8c1c82bc6f"><td class="mdescLeft"> </td><td class="mdescRight">Swaps two rows of a matrix. <a href="matrix_8h.html#a875d6c55a16ee9f8bf523b8c1c82bc6f">More...</a><br /></td></tr>
+<tr class="separator:a875d6c55a16ee9f8bf523b8c1c82bc6f"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a3570c016691507c003dd7a54cb37e7e2"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8h.html#a3570c016691507c003dd7a54cb37e7e2">matrix_part_swap_rows</a> (uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[][n], uint8_t i, uint8_t j, uint8_t col_begin, uint8_t col_end)</td></tr>
+<tr class="memdesc:a3570c016691507c003dd7a54cb37e7e2"><td class="mdescLeft"> </td><td class="mdescRight">Swaps two rows of a sub-matrix. <a href="matrix_8h.html#a3570c016691507c003dd7a54cb37e7e2">More...</a><br /></td></tr>
+<tr class="separator:a3570c016691507c003dd7a54cb37e7e2"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:aec03481d950677386122e3c8ba6a5cd0"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8h.html#aec03481d950677386122e3c8ba6a5cd0">matrix_get_two_norm</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[][n])</td></tr>
+<tr class="memdesc:aec03481d950677386122e3c8ba6a5cd0"><td class="mdescLeft"> </td><td class="mdescRight">Get the 2-norm of a matrix that is equal to the largest singular value. <a href="matrix_8h.html#aec03481d950677386122e3c8ba6a5cd0">More...</a><br /></td></tr>
+<tr class="separator:aec03481d950677386122e3c8ba6a5cd0"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:aaf85a32b8562c91d2d1889819580375e"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8h.html#aaf85a32b8562c91d2d1889819580375e">matrix_get_frob_norm</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[][n])</td></tr>
+<tr class="memdesc:aaf85a32b8562c91d2d1889819580375e"><td class="mdescLeft"> </td><td class="mdescRight">Get the Frobenius norm of a matrix. <a href="matrix_8h.html#aaf85a32b8562c91d2d1889819580375e">More...</a><br /></td></tr>
+<tr class="separator:aaf85a32b8562c91d2d1889819580375e"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:ab166871472924745f70e2bb6e17498c8"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8h.html#ab166871472924745f70e2bb6e17498c8">matrix_get_inv_upp_triang</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> U[][n], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> inv_U[][m])</td></tr>
+<tr class="memdesc:ab166871472924745f70e2bb6e17498c8"><td class="mdescLeft"> </td><td class="mdescRight">Computes the inverse an upper triangular matrix. <a href="matrix_8h.html#ab166871472924745f70e2bb6e17498c8">More...</a><br /></td></tr>
+<tr class="separator:ab166871472924745f70e2bb6e17498c8"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:ae8e87640fa1a2d259ee4dc98c955cb48"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8h.html#ae8e87640fa1a2d259ee4dc98c955cb48">matrix_get_inv_low_triang</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> L[][n], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> inv_L[][m])</td></tr>
+<tr class="memdesc:ae8e87640fa1a2d259ee4dc98c955cb48"><td class="mdescLeft"> </td><td class="mdescRight">Computes the inverse a lower triangular matrix. <a href="matrix_8h.html#ae8e87640fa1a2d259ee4dc98c955cb48">More...</a><br /></td></tr>
+<tr class="separator:ae8e87640fa1a2d259ee4dc98c955cb48"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:abbaf8f39b2b7bb4bd2987f99674c1213"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8h.html#abbaf8f39b2b7bb4bd2987f99674c1213">matrix_get_upp_triang</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[][n], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> tr_up_A[][n])</td></tr>
+<tr class="memdesc:abbaf8f39b2b7bb4bd2987f99674c1213"><td class="mdescLeft"> </td><td class="mdescRight">Gets the upper triangular part of a matrix. <a href="matrix_8h.html#abbaf8f39b2b7bb4bd2987f99674c1213">More...</a><br /></td></tr>
+<tr class="separator:abbaf8f39b2b7bb4bd2987f99674c1213"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:adfd93dda9be9b2e8df5805af7fee7845"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8h.html#adfd93dda9be9b2e8df5805af7fee7845">matrix_get_low_triang</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[][n], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> tr_low_A[][n])</td></tr>
+<tr class="memdesc:adfd93dda9be9b2e8df5805af7fee7845"><td class="mdescLeft"> </td><td class="mdescRight">Gets the lower triangular part of a matrix. <a href="matrix_8h.html#adfd93dda9be9b2e8df5805af7fee7845">More...</a><br /></td></tr>
+<tr class="separator:adfd93dda9be9b2e8df5805af7fee7845"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a32ab12965ec43c2acf65cf9dd510353a"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8h.html#a32ab12965ec43c2acf65cf9dd510353a">matrix_print</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[m][n])</td></tr>
+<tr class="memdesc:a32ab12965ec43c2acf65cf9dd510353a"><td class="mdescLeft"> </td><td class="mdescRight">Display the values of the matrix elements. <a href="matrix_8h.html#a32ab12965ec43c2acf65cf9dd510353a">More...</a><br /></td></tr>
+<tr class="separator:a32ab12965ec43c2acf65cf9dd510353a"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a72073ccd483f9cc438425d3d8ffd3029"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8h.html#a72073ccd483f9cc438425d3d8ffd3029">matrix_part_print</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[m][n], uint8_t start_row_ind, uint8_t end_row_ind, uint8_t start_col_ind, uint8_t end_col_ind)</td></tr>
+<tr class="memdesc:a72073ccd483f9cc438425d3d8ffd3029"><td class="mdescLeft"> </td><td class="mdescRight">Display the values of the sub-matrix elements. <a href="matrix_8h.html#a72073ccd483f9cc438425d3d8ffd3029">More...</a><br /></td></tr>
+<tr class="separator:a72073ccd483f9cc438425d3d8ffd3029"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a82f374a9b8b215f0ef53d35401eae524"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8h.html#a82f374a9b8b215f0ef53d35401eae524">matrix_flex_print</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[m][n], uint8_t before_dec, uint8_t after_dec)</td></tr>
+<tr class="memdesc:a82f374a9b8b215f0ef53d35401eae524"><td class="mdescLeft"> </td><td class="mdescRight">Display the values of the matrix elements. <a href="matrix_8h.html#a82f374a9b8b215f0ef53d35401eae524">More...</a><br /></td></tr>
+<tr class="separator:a82f374a9b8b215f0ef53d35401eae524"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a72297a60e572f85929989e813388a9c5"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8h.html#a72297a60e572f85929989e813388a9c5">matrix_flex_part_print</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[m][n], uint8_t start_row_ind, uint8_t end_row_ind, uint8_t start_col_ind, uint8_t end_col_ind, uint8_t before_dot, uint8_t after_dot)</td></tr>
+<tr class="memdesc:a72297a60e572f85929989e813388a9c5"><td class="mdescLeft"> </td><td class="mdescRight">Display the values of the sub-matrix elements. <a href="matrix_8h.html#a72297a60e572f85929989e813388a9c5">More...</a><br /></td></tr>
+<tr class="separator:a72297a60e572f85929989e813388a9c5"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a06f75ae4924e3f0dfd0b6a25313dc731"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8h.html#a06f75ae4924e3f0dfd0b6a25313dc731">matrix_part_mul_scalar_vec_matr</a> (uint8_t max_m, uint8_t max_n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> scalar, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> vec[max_m], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[max_m][max_n], uint8_t begin_row, uint8_t begin_column, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> dst_arr[max_n - begin_row])</td></tr>
+<tr class="memdesc:a06f75ae4924e3f0dfd0b6a25313dc731"><td class="mdescLeft"> </td><td class="mdescRight">Compute the multiplication of a scalar with row vector and a sub-matrix. <a href="matrix_8h.html#a06f75ae4924e3f0dfd0b6a25313dc731">More...</a><br /></td></tr>
+<tr class="separator:a06f75ae4924e3f0dfd0b6a25313dc731"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a722a0230185fd66f0cecbeae7d50ce1a"><td class="memItemLeft" align="right" valign="top"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8h.html#a722a0230185fd66f0cecbeae7d50ce1a">matrix_read</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[m][n], uint8_t i, uint8_t j)</td></tr>
+<tr class="memdesc:a722a0230185fd66f0cecbeae7d50ce1a"><td class="mdescLeft"> </td><td class="mdescRight">Get the value of a matrix at the position (i,j). <a href="matrix_8h.html#a722a0230185fd66f0cecbeae7d50ce1a">More...</a><br /></td></tr>
+<tr class="separator:a722a0230185fd66f0cecbeae7d50ce1a"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a90b6eafa665d34d7330581c32564d632"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix_8h.html#a90b6eafa665d34d7330581c32564d632">matrix_write</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[m][n], uint8_t i, uint8_t j, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> val)</td></tr>
+<tr class="memdesc:a90b6eafa665d34d7330581c32564d632"><td class="mdescLeft"> </td><td class="mdescRight">Write a value in a matrix at the position (i,j). <a href="matrix_8h.html#a90b6eafa665d34d7330581c32564d632">More...</a><br /></td></tr>
+<tr class="separator:a90b6eafa665d34d7330581c32564d632"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Matrix computations. </p>
+<p>Matrix computations include operations such as addition, subtraction, and transposition.</p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="matrix_8h_source.html">matrix.h</a>.</p>
+</div><h2 class="groupheader">Macro Definition Documentation</h2>
+<a id="ae71449b1cc6e6250b91f539153a7a0d3"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#ae71449b1cc6e6250b91f539153a7a0d3">◆ </a></span>M_PI</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">#define M_PI   3.14159265358979323846</td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+<p>Pi, the ratio of a circle's circumference to its diameter. </p>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8h_source.html#l00054">54</a> of file <a class="el" href="matrix_8h_source.html">matrix.h</a>.</p>
+
+</div>
+</div>
+<a id="af57ae8796956bfd0ee173b9040ba5192"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#af57ae8796956bfd0ee173b9040ba5192">◆ </a></span>MACHEPS</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">#define MACHEPS   2E-16</td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+<p>The upper bound on the relative error due to rounding in floating point arithmetic. </p>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8h_source.html#l00046">46</a> of file <a class="el" href="matrix_8h_source.html">matrix.h</a>.</p>
+
+</div>
+</div>
+<a id="af38ac6b76d645fea9abd6caeb4d9dd31"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#af38ac6b76d645fea9abd6caeb4d9dd31">◆ </a></span>matrix_t</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">#define matrix_t   double</td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Define the data type of the matrix elements. </p>
+<p>The user can choose between a double or floating point arithmetic. </p>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8h_source.html#l00038">38</a> of file <a class="el" href="matrix_8h_source.html">matrix.h</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Function Documentation</h2>
+<a id="ac7101bbaa3a2698658276a7e21501093"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#ac7101bbaa3a2698658276a7e21501093">◆ </a></span>matrix_add()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void matrix_add </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>A</em>[m][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>B</em>[m][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>A_plus_B</em>[m][n] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute the addition of two matrices. </p>
+<p>Add matrix B to matrix A and return the result in A_plus_B matrix.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the matrix to add. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix to add. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">A[][]</td><td>pointer to the first matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">B[][]</td><td>pointer to the second matrix. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">A_plus_B[][]</td><td>pointer to the destination matrix. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8c_source.html#l00341">341</a> of file <a class="el" href="matrix_8c_source.html">matrix.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="matrix__test_8c_source.html#l00031">matrix_test()</a>.</p>
+
+</div>
+</div>
+<a id="aa8acafd4181978f536976f8151e51516"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#aa8acafd4181978f536976f8151e51516">◆ </a></span>matrix_add_to_diag()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void matrix_add_to_diag </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>A</em>[][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>diag_el_num</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>value</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Add a number to diagonal elements of a matrix. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">A[][]</td><td>pointer to the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">diag_el_num</td><td>number of diagonal elements to overwrite. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">value</td><td>the value to add to the diagonal elements. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8c_source.html#l00353">353</a> of file <a class="el" href="matrix_8c_source.html">matrix.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="levenberg__marquardt_8c_source.html#l00143">opt_levenberg_marquardt()</a>, and <a class="el" href="levenberg__marquardt_8c_source.html#l00053">opt_levenberg_marquardt_correction()</a>.</p>
+
+</div>
+</div>
+<a id="a0e06b2cfb86340e88be7b1219bef0ce3"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a0e06b2cfb86340e88be7b1219bef0ce3">◆ </a></span>matrix_clear()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void matrix_clear </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>matrix</em>[m][n] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Clear all the elements of the vector. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">matrix[][]</td><td>pointer to the matrix. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8c_source.html#l00046">46</a> of file <a class="el" href="matrix_8c_source.html">matrix.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="dist__based__jacobian_8c_source.html#l00056">dist_based_jacobian_get_JTJ()</a>, <a class="el" href="householder__test_8c_source.html#l00031">householder_test()</a>, <a class="el" href="matrix_8c_source.html#l00594">matrix_get_diag_mat()</a>, <a class="el" href="matrix_8c_source.html#l00581">matrix_get_diag_mat_new()</a>, <a class="el" href="matrix_8c_source.html#l00817">matrix_get_inv_low_triang()</a>, <a class="el" href="matrix_8c_source.html#l00795">matrix_get_inv_upp_triang()</a>, and <a class="el" href="qr__givens_8c_source.html#l00033">qr_givens_decomp()</a>.</p>
+
+</div>
+</div>
+<a id="ae8d8daa117e9f96a5e29fe6c76c4998c"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#ae8d8daa117e9f96a5e29fe6c76c4998c">◆ </a></span>matrix_copy()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void matrix_copy </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>src_matrix</em>[m][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>dest_matrix</em>[m][n] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Copy the elements of a matrix to another matrix. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the matrix to copy. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix to copy. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">src_matrix[][]</td><td>pointer to the source matrix </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">dest_matrix[][]</td><td>pointer to the destination matrix. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8c_source.html#l00083">83</a> of file <a class="el" href="matrix_8c_source.html">matrix.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="givens__test_8c_source.html#l00028">givens_test()</a>, <a class="el" href="householder__test_8c_source.html#l00031">householder_test()</a>, <a class="el" href="matrix_8c_source.html#l00752">matrix_get_two_norm()</a>, <a class="el" href="solve__test_8c_source.html#l00216">solve_big_matrix_test()</a>, <a class="el" href="solve__test_8c_source.html#l00029">solve_test()</a>, and <a class="el" href="matrix__test_8c_source.html#l00242">triangular_matrices_test()</a>.</p>
+
+</div>
+</div>
+<a id="a72297a60e572f85929989e813388a9c5"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a72297a60e572f85929989e813388a9c5">◆ </a></span>matrix_flex_part_print()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void matrix_flex_part_print </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>matrix</em>[m][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>start_row_ind</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>end_row_ind</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>start_col_ind</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>end_col_ind</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>before_dot</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>after_dot</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Display the values of the sub-matrix elements. </p>
+<p>This function allows the user to determine the precision as well as the with of the numbers to display.</p>
+<dl class="section note"><dt>Note</dt><dd>This function is more memory-consuming than <a class="el" href="matrix_8c.html#a72073ccd483f9cc438425d3d8ffd3029">matrix_part_print</a>.</dd></dl>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>total row number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>total column number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">matrix[][]</td><td>pointer to the entire matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">start_row_ind</td><td>start row number of the sub-matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">end_row_ind</td><td>end row number of the sub-matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">start_col_ind</td><td>start column number of the sub-matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">end_col_ind</td><td>end column number of the sub-matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">before_dot</td><td>the number of digits to be printed before the decimal point. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">after_dot</td><td>the number of digits to be printed after the decimal point. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8c_source.html#l00247">247</a> of file <a class="el" href="matrix_8c_source.html">matrix.c</a>.</p>
+
+<p class="reference">References <a class="el" href="utils_8c_source.html#l00096">utils_printf()</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="matrix__test_8c_source.html#l00031">matrix_test()</a>.</p>
+
+</div>
+</div>
+<a id="a82f374a9b8b215f0ef53d35401eae524"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a82f374a9b8b215f0ef53d35401eae524">◆ </a></span>matrix_flex_print()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void matrix_flex_print </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>matrix</em>[m][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>before_dec</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>after_dec</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Display the values of the matrix elements. </p>
+<p>This function allows the user to determine the precision as well as the with of the numbers to display.</p>
+<dl class="section note"><dt>Note</dt><dd>This function is more memory-consuming than <a class="el" href="matrix_8c.html#a32ab12965ec43c2acf65cf9dd510353a">matrix_print</a>.</dd></dl>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">matrix[][]</td><td>pointer to the entire matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">before_dec</td><td>the number of digits to be printed before the decimal point. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">after_dec</td><td>the number of digits to be printed after the decimal point. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8c_source.html#l00220">220</a> of file <a class="el" href="matrix_8c_source.html">matrix.c</a>.</p>
+
+<p class="reference">References <a class="el" href="utils_8c_source.html#l00096">utils_printf()</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="givens__test_8c_source.html#l00028">givens_test()</a>, <a class="el" href="householder__test_8c_source.html#l00031">householder_test()</a>, <a class="el" href="matrix__test_8c_source.html#l00164">inv_triangular_matrices_test()</a>, <a class="el" href="lu__decomp__test_8c_source.html#l00029">lu_decomp_test()</a>, <a class="el" href="matrix__test_8c_source.html#l00031">matrix_test()</a>, <a class="el" href="moore__penrose__pseudo__inverse_8c_source.html#l00167">moore_penrose_pinv_compute_print()</a>, <a class="el" href="optimization__test_8c_source.html#l00101">optimization_test()</a>, <a class="el" href="pos__algos__common__test_8c_source.html#l00030">pos_algos_common_test()</a>, <a class="el" href="solve__test_8c_source.html#l00216">solve_big_matrix_test()</a>, <a class="el" href="solve__test_8c_source.html#l00029">solve_test()</a>, and <a class="el" href="matrix__test_8c_source.html#l00242">triangular_matrices_test()</a>.</p>
+
+</div>
+</div>
+<a id="a5f6a1948ec005cff4985559821c4943f"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a5f6a1948ec005cff4985559821c4943f">◆ </a></span>matrix_get_abs_max_elem_and_index_in_part_column()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix_get_abs_max_elem_and_index_in_part_column </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>max_m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>max_n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>matrix</em>[max_m][max_n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>row_num</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>col_num</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t * </td>
+ <td class="paramname"><em>index</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Get the maximum absolute value and its position in a column vector in a sub-matrix. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">max_m</td><td>total row number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">max_n</td><td>total column number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">matrix[][]</td><td>pointer to the entire matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">row_num</td><td>row number of the sub-matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">col_num</td><td>column number of the sub-matrix. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">index</td><td>pointer to the variable holding the position of the maximum absolute value in the column vector of the sub-matrix.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the maximum absolute value of a partial column. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8c_source.html#l00703">703</a> of file <a class="el" href="matrix_8c_source.html">matrix.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="lu__decomp_8c_source.html#l00031">lu_decomp()</a>.</p>
+
+</div>
+</div>
+<a id="a0a3d3cfa20ad3e75ad783af457343672"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a0a3d3cfa20ad3e75ad783af457343672">◆ </a></span>matrix_get_abs_max_elem_in_column()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix_get_abs_max_elem_in_column </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>matrix</em>[m][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>col_num</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Get the maximum absolute value of a column vector in a matrix. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">matrix[][]</td><td>pointer to the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">col_num</td><td>column number.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the maximum absolute value of a column. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8c_source.html#l00651">651</a> of file <a class="el" href="matrix_8c_source.html">matrix.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>.</p>
+
+</div>
+</div>
+<a id="a8d77cfae4f1da83acac929c1ce13d252"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a8d77cfae4f1da83acac929c1ce13d252">◆ </a></span>matrix_get_abs_max_elem_in_part_column()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix_get_abs_max_elem_in_part_column </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>max_m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>max_n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>matrix</em>[max_m][max_n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>row_num</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>col_num</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Get the maximum absolute value of a column vector in a sub-matrix. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">max_m</td><td>total row number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">max_n</td><td>total column number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">matrix[][]</td><td>pointer to the entire matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">row_num</td><td>row number of the sub-matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">col_num</td><td>column number of the sub-matrix.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the maximum absolute value of a partial column. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8c_source.html#l00685">685</a> of file <a class="el" href="matrix_8c_source.html">matrix.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>.</p>
+
+</div>
+</div>
+<a id="a3ae0b9f73f82716f3427a523a3412864"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a3ae0b9f73f82716f3427a523a3412864">◆ </a></span>matrix_get_column_vec()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void matrix_get_column_vec </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>matrix</em>[m][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>col_num</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>col_vec</em>[m] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Get a column of a matrix. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">matrix[][]</td><td>pointer to the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">col_num</td><td>number of the requested column. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">col_vec[]</td><td>pointer to the column vector. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8c_source.html#l00612">612</a> of file <a class="el" href="matrix_8c_source.html">matrix.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="matrix_8c_source.html#l00545">matrix_trans_mul_itself()</a>.</p>
+
+</div>
+</div>
+<a id="a18e47742f1653dcc4491badfe2537a0a"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a18e47742f1653dcc4491badfe2537a0a">◆ </a></span>matrix_get_diag_mat()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void matrix_get_diag_mat </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>value</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>diag_matrix</em>[m][n] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Create a diagonal matrix with a specified value. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">value</td><td>value of the diagonal elements. </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">diag_matrix[][]</td><td>pointer to the diagonal matrix. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8c_source.html#l00594">594</a> of file <a class="el" href="matrix_8c_source.html">matrix.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8c_source.html#l00046">matrix_clear()</a>, and <a class="el" href="matrix_8c_source.html#l00565">matrix_set_diag_elements()</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="lu__decomp_8c_source.html#l00031">lu_decomp()</a>, and <a class="el" href="matrix__test_8c_source.html#l00031">matrix_test()</a>.</p>
+
+</div>
+</div>
+<a id="ae808f007791f060590d39c7668501988"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#ae808f007791f060590d39c7668501988">◆ </a></span>matrix_get_diag_mat_new()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void matrix_get_diag_mat_new </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>diag_matrix</em>[m][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>length</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>vec</em>[] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Set all the diagonal elements of a matrix with values that are saved in a vector. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">diag_matrix[][]</td><td>pointer to the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">length</td><td>size of the vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">vec</td><td>pointer to the vector containing diagonal elements. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8c_source.html#l00581">581</a> of file <a class="el" href="matrix_8c_source.html">matrix.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8c_source.html#l00046">matrix_clear()</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="matrix__test_8c_source.html#l00031">matrix_test()</a>.</p>
+
+</div>
+</div>
+<a id="aaf85a32b8562c91d2d1889819580375e"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#aaf85a32b8562c91d2d1889819580375e">◆ </a></span>matrix_get_frob_norm()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">double matrix_get_frob_norm </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>A</em>[][n] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Get the Frobenius norm of a matrix. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">A[][]</td><td>pointer to the matrix.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the Frobenius norm a matrix. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8c_source.html#l00782">782</a> of file <a class="el" href="matrix_8c_source.html">matrix.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="matrix__test_8c_source.html#l00031">matrix_test()</a>.</p>
+
+</div>
+</div>
+<a id="ae8e87640fa1a2d259ee4dc98c955cb48"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#ae8e87640fa1a2d259ee4dc98c955cb48">◆ </a></span>matrix_get_inv_low_triang()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void matrix_get_inv_low_triang </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>L</em>[][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>inv_L</em>[][m] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Computes the inverse a lower triangular matrix. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">L[][]</td><td>pointer to the matrix. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">inv_L[][]</td><td>pointer to the inverse matrix. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8c_source.html#l00817">817</a> of file <a class="el" href="matrix_8c_source.html">matrix.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8c_source.html#l00046">matrix_clear()</a>, and <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="matrix__test_8c_source.html#l00164">inv_triangular_matrices_test()</a>, and <a class="el" href="solve_8c_source.html#l00124">solve_lu_decomp()</a>.</p>
+
+</div>
+</div>
+<a id="ab166871472924745f70e2bb6e17498c8"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#ab166871472924745f70e2bb6e17498c8">◆ </a></span>matrix_get_inv_upp_triang()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void matrix_get_inv_upp_triang </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>U</em>[][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>inv_U</em>[][m] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Computes the inverse an upper triangular matrix. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">U[][]</td><td>pointer to the upper triangular matrix. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">inv_U[][]</td><td>pointer to the inverse matrix. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8c_source.html#l00795">795</a> of file <a class="el" href="matrix_8c_source.html">matrix.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8c_source.html#l00046">matrix_clear()</a>, and <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="matrix__test_8c_source.html#l00164">inv_triangular_matrices_test()</a>.</p>
+
+</div>
+</div>
+<a id="adfd93dda9be9b2e8df5805af7fee7845"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#adfd93dda9be9b2e8df5805af7fee7845">◆ </a></span>matrix_get_low_triang()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void matrix_get_low_triang </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>A</em>[][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>tr_low_A</em>[][n] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Gets the lower triangular part of a matrix. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">A[][]</td><td>pointer to the matrix. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">tr_low_A[][]</td><td>pointer to the lower triangular part of the matrix. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8c_source.html#l00868">868</a> of file <a class="el" href="matrix_8c_source.html">matrix.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="matrix__test_8c_source.html#l00242">triangular_matrices_test()</a>.</p>
+
+</div>
+</div>
+<a id="aef8d1508ad101227ab255a714ab22b94"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#aef8d1508ad101227ab255a714ab22b94">◆ </a></span>matrix_get_max_elem_in_column()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix_get_max_elem_in_column </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>matrix</em>[m][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>col_num</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Get the largest element of a column vector in a matrix. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">matrix[][]</td><td>pointer to the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">col_num</td><td>column number.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the largest element of a column. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8c_source.html#l00635">635</a> of file <a class="el" href="matrix_8c_source.html">matrix.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>.</p>
+
+</div>
+</div>
+<a id="ad2cecc467ac6480ef0f3423f962b39bc"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#ad2cecc467ac6480ef0f3423f962b39bc">◆ </a></span>matrix_get_max_elem_in_part_column()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix_get_max_elem_in_part_column </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>max_m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>max_n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>matrix</em>[max_m][max_n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>row_num</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>col_num</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Get the largest element of a column vector in a sub-matrix. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">max_m</td><td>total row number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">max_n</td><td>total column number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">matrix[][]</td><td>pointer to the entire matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">row_num</td><td>row number of the sub-matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">col_num</td><td>column number of the sub-matrix.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the largest element of a partial column. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8c_source.html#l00668">668</a> of file <a class="el" href="matrix_8c_source.html">matrix.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>.</p>
+
+</div>
+</div>
+<a id="ac20399f6a8de13b1f392a1e3f7c0fbf4"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#ac20399f6a8de13b1f392a1e3f7c0fbf4">◆ </a></span>matrix_get_part_column_vec()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void matrix_get_part_column_vec </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>max_m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>max_n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>matrix</em>[max_m][max_n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>col_num</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>offset</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>col_vec</em>[max_m - offset] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Get a part of a column of a matrix. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">max_m</td><td>row number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">max_n</td><td>column number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">matrix[][]</td><td>pointer to the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">col_num</td><td>number of the requested column. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">offset</td><td>points to the start position of the column vector. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">col_vec[]</td><td>pointer to the column vector. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8c_source.html#l00623">623</a> of file <a class="el" href="matrix_8c_source.html">matrix.c</a>.</p>
+
+</div>
+</div>
+<a id="a53879e7c4cfbc96725aef9f8234be7dd"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a53879e7c4cfbc96725aef9f8234be7dd">◆ </a></span>matrix_get_rank()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">uint8_t matrix_get_rank </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>singl_values_arr</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>length</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute the rank of a matrix. </p>
+<p>The SVD must be previously invoked to get the singular values of the matrix.</p>
+<dl class="section note"><dt>Note</dt><dd>This function should be invoked after the call of the <a class="el" href="svd_8c.html#acdccfce5b7732e6334ca5a521c57e63e">svd</a> method.</dd></dl>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the source matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the source matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">singl_values_arr[]</td><td>array containing the singular values of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">length</td><td>length of the singular values array.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the rank of the matrix. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8c_source.html#l00312">312</a> of file <a class="el" href="matrix_8c_source.html">matrix.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="trilateration_8c_source.html#l00149">trilateration_get_rank_and_homogeneous_solution()</a>.</p>
+
+</div>
+</div>
+<a id="aec03481d950677386122e3c8ba6a5cd0"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#aec03481d950677386122e3c8ba6a5cd0">◆ </a></span>matrix_get_two_norm()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">double matrix_get_two_norm </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>A</em>[][n] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Get the 2-norm of a matrix that is equal to the largest singular value. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">A[][]</td><td>pointer to the matrix.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the 2-norm of a matrix. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8c_source.html#l00752">752</a> of file <a class="el" href="matrix_8c_source.html">matrix.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00062">matrix_dim_t::col_num</a>, <a class="el" href="matrix_8c_source.html#l00083">matrix_copy()</a>, <a class="el" href="matrix_8c_source.html#l00141">matrix_print()</a>, <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>, <a class="el" href="matrix_8h_source.html#l00061">matrix_dim_t::row_num</a>, <a class="el" href="svd_8c_source.html#l00119">svd()</a>, <a class="el" href="svd_8c_source.html#l00114">svd_get_single_values_num()</a>, and <a class="el" href="svd_8c_source.html#l00096">svd_get_U_dim()</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="matrix__test_8c_source.html#l00031">matrix_test()</a>.</p>
+
+</div>
+</div>
+<a id="abbaf8f39b2b7bb4bd2987f99674c1213"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#abbaf8f39b2b7bb4bd2987f99674c1213">◆ </a></span>matrix_get_upp_triang()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void matrix_get_upp_triang </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>A</em>[][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>tr_up_A</em>[][n] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Gets the upper triangular part of a matrix. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">A[][]</td><td>pointer to the matrix. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">tr_up_A[][]</td><td>pointer to the upper triangular part of the matrix. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8c_source.html#l00841">841</a> of file <a class="el" href="matrix_8c_source.html">matrix.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="qr__givens_8c_source.html#l00033">qr_givens_decomp()</a>, and <a class="el" href="matrix__test_8c_source.html#l00242">triangular_matrices_test()</a>.</p>
+
+</div>
+</div>
+<a id="a48b36217faeda15438f4e07c54d0ef9e"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a48b36217faeda15438f4e07c54d0ef9e">◆ </a></span>matrix_in_place_transpose()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void matrix_in_place_transpose </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>matrix</em>[][m] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Computes the in-place transpose of a matrix. </p>
+<p>Transpose the matrix without auxiliary memory.</p>
+<dl class="section note"><dt>Note</dt><dd>This function is limited to square matrices.</dd></dl>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row and column number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">matrix[][]</td><td>pointer to the matrix to transpose. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8c_source.html#l00069">69</a> of file <a class="el" href="matrix_8c_source.html">matrix.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>.</p>
+
+</div>
+</div>
+<a id="acfd2bbc4a90915e57a4555694e842312"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#acfd2bbc4a90915e57a4555694e842312">◆ </a></span>matrix_init()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void matrix_init </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>matrix</em>[m][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>value</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Initialize all the elements of the matrix with a specified value. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">matrix[][]</td><td>pointer to the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">value</td><td>value to be set. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8c_source.html#l00051">51</a> of file <a class="el" href="matrix_8c_source.html">matrix.c</a>.</p>
+
+</div>
+</div>
+<a id="a550aa0d5a3212e35ad0af134895fd20a"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a550aa0d5a3212e35ad0af134895fd20a">◆ </a></span>matrix_mul()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void matrix_mul </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>a_line_num</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>a_col_num</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>a_matrix</em>[a_line_num][a_col_num], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>b_line_num</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>b_col_num</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>b_matrix</em>[b_line_num][b_col_num], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>dest_matrix</em>[a_line_num][b_col_num] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute the multiplication of two matrices. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">a_line_num</td><td>row number of the first matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">a_col_num</td><td>column number of the first matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">a_matrix[][]</td><td>pointer to the first matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">b_line_num</td><td>row number of the second matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">b_col_num</td><td>column number of the second matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">b_matrix[][]</td><td>pointer to the second matrix. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">dest_matrix[][]</td><td>pointer to the destination matrix. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8c_source.html#l00363">363</a> of file <a class="el" href="matrix_8c_source.html">matrix.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="DOP_8c_source.html#l00030">get_PDOP()</a>, <a class="el" href="matrix__test_8c_source.html#l00031">matrix_test()</a>, and <a class="el" href="solve_8c_source.html#l00124">solve_lu_decomp()</a>.</p>
+
+</div>
+</div>
+<a id="acfd7c6f021f4fbcd393fe849c82f34de"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#acfd7c6f021f4fbcd393fe849c82f34de">◆ </a></span>matrix_mul_col_vec_row_vec()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void matrix_mul_col_vec_row_vec </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>col_vec</em>[m], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>row_vec</em>[n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>max_n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>res_mat</em>[][max_n] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute the multiplication of a column and row vector. </p>
+<p>Return Cm,1 * R1,n = Mm,n, where C is a m-dimensional column vector, R is a n-dimensional row vector, and the result is a (mxn)-matrix.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the column vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">col_vec[]</td><td>pointer to the column vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the row vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">row_vec[]</td><td>pointer to the row vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">max_n</td><td>column number of the result matrix. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">res_mat[][]</td><td>pointer to the (mxn) result matrix. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8c_source.html#l00531">531</a> of file <a class="el" href="matrix_8c_source.html">matrix.c</a>.</p>
+
+</div>
+</div>
+<a id="a51139e6c87b602e5e0ebfbc406fda35d"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a51139e6c87b602e5e0ebfbc406fda35d">◆ </a></span>matrix_mul_scalar()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void matrix_mul_scalar </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>mat_src</em>[m][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>value</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>mat_dest</em>[m][n] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Multiply all elements of a matrix with a specified value. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">mat_src</td><td>pointer to the source matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">value</td><td>multiplication factor. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">mat_dest[][]</td><td>pointer to the destination matrix. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8c_source.html#l00602">602</a> of file <a class="el" href="matrix_8c_source.html">matrix.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="loc__levenberg__marquardt_8c_source.html#l00126">loc_levenberg_marquardt()</a>, <a class="el" href="loc__levenberg__marquardt_8c_source.html#l00034">loc_levenberg_marquardt_correction()</a>, <a class="el" href="levenberg__marquardt_8c_source.html#l00143">opt_levenberg_marquardt()</a>, and <a class="el" href="levenberg__marquardt_8c_source.html#l00053">opt_levenberg_marquardt_correction()</a>.</p>
+
+</div>
+</div>
+<a id="ac735d13efe5b76ecf60ac13ec79da8e3"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#ac735d13efe5b76ecf60ac13ec79da8e3">◆ </a></span>matrix_mul_scalar_vec_matr()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void matrix_mul_scalar_vec_matr </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>scalar</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>vec</em>[m], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>matrix</em>[m][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>dst_arr</em>[n] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute the multiplication of a scalar with row vector and a matrix. </p>
+<p>Return scal*R1,m * Am,n = R1,n, where scal is a scalar, R is a m-dimensional row vector, A is a (mxn)-matrix, and the result is a row vector of n-dimension.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>size of the row vector and row number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">scalar</td><td>scalar value. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">vec[]</td><td>pointer to the row vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">matrix[][]</td><td>pointer to the matrix. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">dst_arr</td><td>pointer to the destination row vector of n-dimension. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8c_source.html#l00470">470</a> of file <a class="el" href="matrix_8c_source.html">matrix.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>.</p>
+
+</div>
+</div>
+<a id="ad610bcce232c69ca302550f57b1ad9fb"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#ad610bcce232c69ca302550f57b1ad9fb">◆ </a></span>matrix_mul_vec()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void matrix_mul_vec </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>matrix</em>[m][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>vec</em>[n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>dst_arr</em>[m] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute the multiplication of a matrix with a column vector. </p>
+<p>Return Am,n * Vn,1 = Bm,1, where the A is a (mxn)-matrix, V is a n-dimensional column vector, and the result is a m-dimensional column vector.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the matrix to multiply. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix to multiply. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">matrix[][]</td><td>pointer to the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">vec</td><td>pointer to the n-dimensional column vector. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">dst_arr</td><td>pointer to the destination m-dimensional column vector. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8c_source.html#l00434">434</a> of file <a class="el" href="matrix_8c_source.html">matrix.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="damped__newton__raphson_8c_source.html#l00120">get_delta_x()</a>, <a class="el" href="loc__gauss__newton_8c_source.html#l00030">loc_gauss_newton()</a>, <a class="el" href="modified__gauss__newton_8c_source.html#l00032">modified_gauss_newton()</a>, <a class="el" href="newton__raphson_8c_source.html#l00028">newton_raphson()</a>, <a class="el" href="levenberg__marquardt_8c_source.html#l00053">opt_levenberg_marquardt_correction()</a>, <a class="el" href="solve_8c_source.html#l00035">solve()</a>, <a class="el" href="solve_8c_source.html#l00124">solve_lu_decomp()</a>, <a class="el" href="solve__test_8c_source.html#l00029">solve_test()</a>, and <a class="el" href="trilateration_8c_source.html#l00179">trilateration_get_particular_solution()</a>.</p>
+
+</div>
+</div>
+<a id="a56513a88eff05b0683320c532fadf945"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a56513a88eff05b0683320c532fadf945">◆ </a></span>matrix_part_copy()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void matrix_part_copy </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>src_matrix</em>[m][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>start_row_ind</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>end_row_ind</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>start_col_ind</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>end_col_ind</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>dest_row_num</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>dest_col_num</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>dest_matrix</em>[][dest_col_num] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Copy a part of a matrix to another matrix or sub-matrix. </p>
+<p>A part of the source matrix can be copied in a sub-part of the destination matrix (sub-matrix). The source and destination sub-matrices are limited by the row and column indices.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the source matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the source matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">src_matrix[][]</td><td>pointer to the source matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">start_row_ind</td><td>the start index of the rows of the source sub-matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">end_row_ind</td><td>the end index of the rows of the source sub-matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">start_col_ind</td><td>the start index of the columns of the source sub-matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">end_col_ind</td><td>the end index of the columns of the source sub-matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">dest_row_num</td><td>the row number of the destination sub-matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">dest_col_num</td><td>the column number of the destination sub-matrix. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">dest_matrix[][]</td><td>pointer to the destination (sub)-matrix. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8c_source.html#l00089">89</a> of file <a class="el" href="matrix_8c_source.html">matrix.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="qr__common_8c_source.html#l00059">qr_common_get_reduced_QR()</a>, and <a class="el" href="qr__givens_8c_source.html#l00033">qr_givens_decomp()</a>.</p>
+
+</div>
+</div>
+<a id="a3763252ca00e4c8522ae1bfd5ef40f0a"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a3763252ca00e4c8522ae1bfd5ef40f0a">◆ </a></span>matrix_part_mul()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void matrix_part_mul </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>a_col_num_max</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>a_matrix</em>[][a_col_num_max], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>b_col_num_max</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>b_matrix</em>[][b_col_num_max], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>a_start_row_ind</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>a_end_row_ind</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>a_start_col_ind</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>a_end_col_ind</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>b_start_row_ind</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>b_end_row_ind</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>b_start_col_ind</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>b_end_col_ind</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>dest_col_size</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>dest_matrix</em>[][dest_col_size] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute the partial multiplication of two matrices. </p>
+<p>Enables the calculation of matrix product of parts of two matrices.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">a_col_num_max</td><td>column number of the first matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">a_matrix[][]</td><td>pointer to the first matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">b_col_num_max</td><td>column number of the second matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">b_matrix[][]</td><td>pointer to the second matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">a_start_row_ind</td><td>row begin of the first, partial matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">a_end_row_ind</td><td>row end of the first, partial matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">a_start_col_ind</td><td>column begin of the first, partial matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">a_end_col_ind</td><td>column end of the first, partial matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">b_start_row_ind</td><td>row begin of the second, partial matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">b_end_row_ind</td><td>row end of the second, partial matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">b_start_col_ind</td><td>column begin of the second, partial matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">b_end_col_ind</td><td>column end of the second, partial matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">dest_col_size</td><td>column size of the destination matrix. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">dest_matrix[][]</td><td>pointer to the destination matrix. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8c_source.html#l00391">391</a> of file <a class="el" href="matrix_8c_source.html">matrix.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="matrix__test_8c_source.html#l00031">matrix_test()</a>.</p>
+
+</div>
+</div>
+<a id="a06f75ae4924e3f0dfd0b6a25313dc731"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a06f75ae4924e3f0dfd0b6a25313dc731">◆ </a></span>matrix_part_mul_scalar_vec_matr()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void matrix_part_mul_scalar_vec_matr </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>max_m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>max_n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>scalar</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>vec</em>[max_m], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>matrix</em>[max_m][max_n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>begin_row</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>begin_column</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>dst_arr</em>[max_n - begin_row] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute the multiplication of a scalar with row vector and a sub-matrix. </p>
+<p>Return scal*R1,m * Am,n = R1,n, where scal is a scalar, R is a m-dimensional row vector, A is a (mxn)-matrix, and the result is a row vector of n-dimension.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">max_m</td><td>size of the row vector and row number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">max_n</td><td>column number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">scalar</td><td>scalar value. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">vec[]</td><td>pointer to the row vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">matrix[][]</td><td>pointer to the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">begin_row</td><td>start row number of the sub-matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">begin_column</td><td>start column number of the sub-matrix. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">dst_arr</td><td>pointer to the destination row vector of n-dimension. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8c_source.html#l00489">489</a> of file <a class="el" href="matrix_8c_source.html">matrix.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>.</p>
+
+</div>
+</div>
+<a id="a72073ccd483f9cc438425d3d8ffd3029"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a72073ccd483f9cc438425d3d8ffd3029">◆ </a></span>matrix_part_print()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void matrix_part_print </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>matrix</em>[m][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>start_row_ind</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>end_row_ind</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>start_col_ind</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>end_col_ind</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Display the values of the sub-matrix elements. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>total row number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>total column number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">matrix[][]</td><td>pointer to the entire matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">start_row_ind</td><td>start row number of the sub-matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">end_row_ind</td><td>end row number of the sub-matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">start_col_ind</td><td>start column number of the sub-matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">end_col_ind</td><td>end column number of the sub-matrix. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8c_source.html#l00164">164</a> of file <a class="el" href="matrix_8c_source.html">matrix.c</a>.</p>
+
+</div>
+</div>
+<a id="a3570c016691507c003dd7a54cb37e7e2"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a3570c016691507c003dd7a54cb37e7e2">◆ </a></span>matrix_part_swap_rows()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void matrix_part_swap_rows </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>matrix</em>[][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>i</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>j</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>col_begin</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>col_end</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Swaps two rows of a sub-matrix. </p>
+<p>Swaps the rows i and j of a part of a matrix.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the entire matrix. </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">matrix[][]</td><td>pointer to the entire matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">i</td><td>the i-the row of the sub-matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">j</td><td>the j-the row of the sub-matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">col_begin</td><td>the column begin of the sub-matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">col_end</td><td>the column end of the sub-matrix. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8c_source.html#l00736">736</a> of file <a class="el" href="matrix_8c_source.html">matrix.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="lu__decomp_8c_source.html#l00031">lu_decomp()</a>.</p>
+
+</div>
+</div>
+<a id="a32ab12965ec43c2acf65cf9dd510353a"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a32ab12965ec43c2acf65cf9dd510353a">◆ </a></span>matrix_print()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void matrix_print </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>matrix</em>[m][n] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Display the values of the matrix elements. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">matrix[][]</td><td>pointer to the entire matrix. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8c_source.html#l00141">141</a> of file <a class="el" href="matrix_8c_source.html">matrix.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="matrix_8c_source.html#l00752">matrix_get_two_norm()</a>, and <a class="el" href="svd_8c_source.html#l00766">svd_compute_print_U_S_V_s()</a>.</p>
+
+</div>
+</div>
+<a id="a722a0230185fd66f0cecbeae7d50ce1a"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a722a0230185fd66f0cecbeae7d50ce1a">◆ </a></span>matrix_read()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix_read </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>matrix</em>[m][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>i</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>j</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Get the value of a matrix at the position (i,j). </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">matrix[][]</td><td>pointer to the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">i</td><td>row number. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">j</td><td>column number.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the value of the matrix at the row i and column j. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8c_source.html#l00895">895</a> of file <a class="el" href="matrix_8c_source.html">matrix.c</a>.</p>
+
+</div>
+</div>
+<a id="a49aa70a7d6ad76388ea08acfe43b7374"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a49aa70a7d6ad76388ea08acfe43b7374">◆ </a></span>matrix_set_diag_elements()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void matrix_set_diag_elements </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>value</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>diag_matrix</em>[m][n] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Set all the diagonal elements of a matrix with a specified value. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">value</td><td>value to be set. </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">diag_matrix[][]</td><td>pointer to the matrix. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8c_source.html#l00565">565</a> of file <a class="el" href="matrix_8c_source.html">matrix.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="matrix_8c_source.html#l00594">matrix_get_diag_mat()</a>.</p>
+
+</div>
+</div>
+<a id="aed6fab1ffa40243eeb08117215082be3"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#aed6fab1ffa40243eeb08117215082be3">◆ </a></span>matrix_sub()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void matrix_sub </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>A</em>[m][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>B</em>[m][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>A_minus_B</em>[m][n] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute the subtraction of two matrices. </p>
+<p>Subtract matrix B from matrix A and return the result in A_minus_B matrix.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the matrix to add. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix to add. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">A[][]</td><td>pointer to the first matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">B[][]</td><td>pointer to the second matrix. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">A_minus_B[][]</td><td>pointer to the destination matrix. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8c_source.html#l00329">329</a> of file <a class="el" href="matrix_8c_source.html">matrix.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="matrix__test_8c_source.html#l00031">matrix_test()</a>.</p>
+
+</div>
+</div>
+<a id="a875d6c55a16ee9f8bf523b8c1c82bc6f"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a875d6c55a16ee9f8bf523b8c1c82bc6f">◆ </a></span>matrix_swap_rows()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void matrix_swap_rows </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>matrix</em>[][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>i</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>j</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Swaps two rows of a matrix. </p>
+<p>Swaps the rows i and j of a matrix.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">matrix[][]</td><td>pointer to the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">i</td><td>the i-the row of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">j</td><td>the j-the row of the matrix. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8c_source.html#l00725">725</a> of file <a class="el" href="matrix_8c_source.html">matrix.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="lu__decomp_8c_source.html#l00031">lu_decomp()</a>, and <a class="el" href="matrix__test_8c_source.html#l00031">matrix_test()</a>.</p>
+
+</div>
+</div>
+<a id="a0107887a6c40980fa639750be8262f01"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a0107887a6c40980fa639750be8262f01">◆ </a></span>matrix_trans_mul_itself()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void matrix_trans_mul_itself </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>A</em>[m][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>AT_mul_A</em>[n][n] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute the multiplication of the transpose of a matrix with itself. </p>
+<p>Transpose the matrix A and multiply it with the matrix A: A'*A.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">A[][]</td><td>pointer to the matrix. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">AT_mul_A[][]</td><td>pointer to the destination matrix (A'*A). </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8c_source.html#l00545">545</a> of file <a class="el" href="matrix_8c_source.html">matrix.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8c_source.html#l00612">matrix_get_column_vec()</a>, and <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="magnetic__based__jacobian_8c_source.html#l00099">magnetic_based_jacobian_get_JTJ()</a>, <a class="el" href="modified__gauss__newton_8c_source.html#l00032">modified_gauss_newton()</a>, <a class="el" href="levenberg__marquardt_8c_source.html#l00143">opt_levenberg_marquardt()</a>, and <a class="el" href="levenberg__marquardt_8c_source.html#l00053">opt_levenberg_marquardt_correction()</a>.</p>
+
+</div>
+</div>
+<a id="a53b0a1829b2085414fb66a9e9bd6c7b7"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a53b0a1829b2085414fb66a9e9bd6c7b7">◆ </a></span>matrix_trans_mul_vec()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void matrix_trans_mul_vec </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>A</em>[m][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>b_size</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>b_vec</em>[m], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>c_vec</em>[n] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute the multiplication of transposed matrix with column vector. </p>
+<p>Transpose A and return A'n,m * Vm,1 = Bn,1, where A is a (mxn)-matrix, V is a m-dimensional column vector, and the result is a n-dimensional column vector.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the matrix to transpose and multiply. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix to transpose and multiply. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">A[][]</td><td>pointer to the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">b_size</td><td>size of the column vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">b_vec[]</td><td>pointer to the column vector of m-dimension. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">c_vec[]</td><td>pointer to the destination, column vector of n-dimension. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8c_source.html#l00511">511</a> of file <a class="el" href="matrix_8c_source.html">matrix.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="magnetic__based__jacobian_8c_source.html#l00112">magnetic_based_jacobian_get_JTf()</a>, <a class="el" href="modified__gauss__newton_8c_source.html#l00032">modified_gauss_newton()</a>, <a class="el" href="levenberg__marquardt_8c_source.html#l00143">opt_levenberg_marquardt()</a>, <a class="el" href="levenberg__marquardt_8c_source.html#l00053">opt_levenberg_marquardt_correction()</a>, <a class="el" href="solve_8c_source.html#l00102">solve_givens()</a>, and <a class="el" href="solve_8c_source.html#l00077">solve_householder()</a>.</p>
+
+</div>
+</div>
+<a id="ad7c9a682a3cc4ca33c030afa8798241a"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#ad7c9a682a3cc4ca33c030afa8798241a">◆ </a></span>matrix_transpose()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void matrix_transpose </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>src_matrix</em>[m][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>dest_matrix</em>[n][m] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Computes the transpose of a matrix. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">src_matrix[][]</td><td>pointer to the matrix to transpose. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">dest_matrix[][]</td><td>pointer to the destination matrix. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8c_source.html#l00056">56</a> of file <a class="el" href="matrix_8c_source.html">matrix.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="DOP_8c_source.html#l00030">get_PDOP()</a>, <a class="el" href="matrix__test_8c_source.html#l00031">matrix_test()</a>, <a class="el" href="moore__penrose__pseudo__inverse_8c_source.html#l00038">moore_penrose_get_pinv()</a>, and <a class="el" href="matrix__test_8c_source.html#l00242">triangular_matrices_test()</a>.</p>
+
+</div>
+</div>
+<a id="a3cf18a2c5c6ad62a4e0a0c00d27e2887"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a3cf18a2c5c6ad62a4e0a0c00d27e2887">◆ </a></span>matrix_vec_mul_matr()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void matrix_vec_mul_matr </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>vec</em>[m], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>matrix</em>[m][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>dst_arr</em>[n] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute the multiplication of row vector and a matrix. </p>
+<p>Return R1,m * Am,n = R1,n, where R is a m-dimensional row vector, A is a (mxn)-matrix, and the result is a row vector of n-dimension.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>size of the row vector and row number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">vec[]</td><td>pointer to the row vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">matrix[][]</td><td>pointer to the matrix. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">dst_arr</td><td>pointer to the destination row vector of n-dimension. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8c_source.html#l00452">452</a> of file <a class="el" href="matrix_8c_source.html">matrix.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>.</p>
+
+</div>
+</div>
+<a id="a90b6eafa665d34d7330581c32564d632"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a90b6eafa665d34d7330581c32564d632">◆ </a></span>matrix_write()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void matrix_write </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>matrix</em>[m][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>i</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>j</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>val</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Write a value in a matrix at the position (i,j). </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">matrix[][]</td><td>pointer to the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">i</td><td>row number. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">j</td><td>column number. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">val</td><td>value to write in the matrix. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8c_source.html#l00901">901</a> of file <a class="el" href="matrix_8c_source.html">matrix.c</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="navelem"><a class="el" href="dir_8c4128baa09a573ad2b8b8c0061a04c9.html">linear_algebra</a></li><li class="navelem"><a class="el" href="dir_c416454c2678f04387f9348cb110b9ee.html">basic_operations</a></li><li class="navelem"><a class="el" href="dir_e663cf436b7a4f65fdac82a5d77479a9.html">include</a></li><li class="navelem"><a class="el" href="matrix_8h.html">matrix.h</a></li>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
+ </ul>
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+</html>
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new file mode 100644
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+var matrix_8h =
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+<div class="header">
+ <div class="headertitle">
+<div class="title">matrix.h</div> </div>
+</div><!--header-->
+<div class="contents">
+<a href="matrix_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#ifndef MATRIX_H_</span></div>
+<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="preprocessor">#define MATRIX_H_</span></div>
+<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>  </div>
+<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="preprocessor">#include <inttypes.h></span></div>
+<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="preprocessor">#include <stdbool.h></span></div>
+<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>  </div>
+<div class="line"><a name="l00036"></a><span class="lineno"> 36</span> <span class="comment">//#define matrix_t float</span></div>
+<div class="line"><a name="l00037"></a><span class="lineno"> 37</span> <span class="preprocessor">#ifndef matrix_t</span></div>
+<div class="line"><a name="l00038"></a><span class="lineno"><a class="line" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31"> 38</a></span> <span class="preprocessor">#define matrix_t double</span></div>
+<div class="line"><a name="l00039"></a><span class="lineno"> 39</span> <span class="preprocessor">#endif</span></div>
+<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>  </div>
+<div class="line"><a name="l00045"></a><span class="lineno"> 45</span> <span class="preprocessor">#ifndef MACHEPS</span></div>
+<div class="line"><a name="l00046"></a><span class="lineno"><a class="line" href="matrix_8h.html#af57ae8796956bfd0ee173b9040ba5192"> 46</a></span> <span class="preprocessor">#define MACHEPS 2E-16</span></div>
+<div class="line"><a name="l00047"></a><span class="lineno"> 47</span> <span class="preprocessor">#endif</span></div>
+<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  </div>
+<div class="line"><a name="l00053"></a><span class="lineno"> 53</span> <span class="preprocessor">#ifndef M_PI</span></div>
+<div class="line"><a name="l00054"></a><span class="lineno"><a class="line" href="matrix_8h.html#ae71449b1cc6e6250b91f539153a7a0d3"> 54</a></span> <span class="preprocessor">#define M_PI 3.14159265358979323846</span></div>
+<div class="line"><a name="l00055"></a><span class="lineno"> 55</span> <span class="preprocessor">#endif</span></div>
+<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  </div>
+<div class="line"><a name="l00060"></a><span class="lineno"><a class="line" href="structmatrix__dim__t.html"> 60</a></span> <span class="keyword">typedef</span> <span class="keyword">struct </span>{</div>
+<div class="line"><a name="l00061"></a><span class="lineno"><a class="line" href="structmatrix__dim__t.html#a853244a0562d43bfdcdcb704ed707721"> 61</a></span>  uint8_t <a class="code" href="structmatrix__dim__t.html#a853244a0562d43bfdcdcb704ed707721">row_num</a>; </div>
+<div class="line"><a name="l00062"></a><span class="lineno"><a class="line" href="structmatrix__dim__t.html#aac6b6ff205184047714d5c22019bdbab"> 62</a></span>  uint8_t <a class="code" href="structmatrix__dim__t.html#aac6b6ff205184047714d5c22019bdbab">col_num</a>; </div>
+<div class="line"><a name="l00064"></a><span class="lineno"> 64</span> } <a class="code" href="structmatrix__dim__t.html">matrix_dim_t</a>;</div>
+<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  </div>
+<div class="line"><a name="l00075"></a><span class="lineno"> 75</span> <span class="keywordtype">void</span> <a class="code" href="matrix_8h.html#acfd2bbc4a90915e57a4555694e842312">matrix_init</a>(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[m][n], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> value);</div>
+<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  </div>
+<div class="line"><a name="l00085"></a><span class="lineno"> 85</span> <span class="keywordtype">void</span> <a class="code" href="matrix_8h.html#a0e06b2cfb86340e88be7b1219bef0ce3">matrix_clear</a>(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[m][n]);</div>
+<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  </div>
+<div class="line"><a name="l00096"></a><span class="lineno"> 96</span> <span class="keywordtype">void</span> <a class="code" href="matrix_8h.html#ad7c9a682a3cc4ca33c030afa8798241a">matrix_transpose</a>(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> src_matrix[m][n],</div>
+<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> dest_matrix[n][m]);</div>
+<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  </div>
+<div class="line"><a name="l00109"></a><span class="lineno"> 109</span> <span class="keywordtype">void</span> <a class="code" href="matrix_8h.html#a48b36217faeda15438f4e07c54d0ef9e">matrix_in_place_transpose</a>(uint8_t m, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[][m]);</div>
+<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  </div>
+<div class="line"><a name="l00120"></a><span class="lineno"> 120</span> <span class="keywordtype">void</span> <a class="code" href="matrix_8h.html#ae8d8daa117e9f96a5e29fe6c76c4998c">matrix_copy</a>(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> src_matrix[m][n],</div>
+<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> dest_matrix[m][n]);</div>
+<div class="line"><a name="l00140"></a><span class="lineno"> 140</span> <span class="keywordtype">void</span> <a class="code" href="matrix_8h.html#a56513a88eff05b0683320c532fadf945">matrix_part_copy</a>(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> src_matrix[m][n],</div>
+<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  uint8_t start_row_ind, uint8_t end_row_ind,</div>
+<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  uint8_t start_col_ind, uint8_t end_col_ind,</div>
+<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  uint8_t dest_row_num, uint8_t dest_col_num,</div>
+<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> dest_matrix[][dest_col_num]);</div>
+<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  </div>
+<div class="line"><a name="l00162"></a><span class="lineno"> 162</span> uint8_t <a class="code" href="matrix_8h.html#a53879e7c4cfbc96725aef9f8234be7dd">matrix_get_rank</a>(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> singl_values_arr[],</div>
+<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>  uint8_t length);</div>
+<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>  </div>
+<div class="line"><a name="l00176"></a><span class="lineno"> 176</span> <span class="keywordtype">void</span> <a class="code" href="matrix_8h.html#ac7101bbaa3a2698658276a7e21501093">matrix_add</a>(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[m][n], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> B[m][n],</div>
+<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A_plus_B[m][n]);</div>
+<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>  </div>
+<div class="line"><a name="l00188"></a><span class="lineno"> 188</span> <span class="keywordtype">void</span> <a class="code" href="matrix_8h.html#aa8acafd4181978f536976f8151e51516">matrix_add_to_diag</a>(uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[][n], uint8_t diag_el_num,</div>
+<div class="line"><a name="l00189"></a><span class="lineno"> 189</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> value);</div>
+<div class="line"><a name="l00190"></a><span class="lineno"> 190</span>  </div>
+<div class="line"><a name="l00203"></a><span class="lineno"> 203</span> <span class="keywordtype">void</span> <a class="code" href="matrix_8h.html#aed6fab1ffa40243eeb08117215082be3">matrix_sub</a>(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[m][n], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> B[m][n],</div>
+<div class="line"><a name="l00204"></a><span class="lineno"> 204</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A_minus_B[m][n]);</div>
+<div class="line"><a name="l00205"></a><span class="lineno"> 205</span>  </div>
+<div class="line"><a name="l00218"></a><span class="lineno"> 218</span> <span class="keywordtype">void</span> <a class="code" href="matrix_8h.html#a550aa0d5a3212e35ad0af134895fd20a">matrix_mul</a>(uint8_t a_line_num, uint8_t a_col_num,</div>
+<div class="line"><a name="l00219"></a><span class="lineno"> 219</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> a_matrix[a_line_num][a_col_num],</div>
+<div class="line"><a name="l00220"></a><span class="lineno"> 220</span>  uint8_t b_line_num, uint8_t b_col_num,</div>
+<div class="line"><a name="l00221"></a><span class="lineno"> 221</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> b_matrix[b_line_num][b_col_num],</div>
+<div class="line"><a name="l00222"></a><span class="lineno"> 222</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> dest_matrix[a_line_num][b_col_num]);</div>
+<div class="line"><a name="l00223"></a><span class="lineno"> 223</span>  </div>
+<div class="line"><a name="l00244"></a><span class="lineno"> 244</span> <span class="keywordtype">void</span> <a class="code" href="matrix_8h.html#a3763252ca00e4c8522ae1bfd5ef40f0a">matrix_part_mul</a>(uint8_t a_col_num_max, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> a_matrix[][a_col_num_max],</div>
+<div class="line"><a name="l00245"></a><span class="lineno"> 245</span>  uint8_t b_col_num_max, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> b_matrix[][b_col_num_max],</div>
+<div class="line"><a name="l00246"></a><span class="lineno"> 246</span>  uint8_t a_start_row_ind, uint8_t a_end_row_ind,</div>
+<div class="line"><a name="l00247"></a><span class="lineno"> 247</span>  uint8_t a_start_col_ind, uint8_t a_end_col_ind,</div>
+<div class="line"><a name="l00248"></a><span class="lineno"> 248</span>  uint8_t b_start_row_ind, uint8_t b_end_row_ind,</div>
+<div class="line"><a name="l00249"></a><span class="lineno"> 249</span>  uint8_t b_start_col_ind, uint8_t b_end_col_ind,</div>
+<div class="line"><a name="l00250"></a><span class="lineno"> 250</span>  uint8_t dest_col_size,</div>
+<div class="line"><a name="l00251"></a><span class="lineno"> 251</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> dest_matrix[][dest_col_size]);</div>
+<div class="line"><a name="l00252"></a><span class="lineno"> 252</span>  </div>
+<div class="line"><a name="l00267"></a><span class="lineno"> 267</span> <span class="keywordtype">void</span> <a class="code" href="matrix_8h.html#ad610bcce232c69ca302550f57b1ad9fb">matrix_mul_vec</a>(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[m][n],</div>
+<div class="line"><a name="l00268"></a><span class="lineno"> 268</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> vec[n], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> dst_arr[m]);</div>
+<div class="line"><a name="l00269"></a><span class="lineno"> 269</span>  </div>
+<div class="line"><a name="l00270"></a><span class="lineno"> 270</span> <span class="comment">//A'(n,m)*b(m,1) = c(n,1)</span></div>
+<div class="line"><a name="l00285"></a><span class="lineno"> 285</span> <span class="comment"></span><span class="keywordtype">void</span> <a class="code" href="matrix_8h.html#a53b0a1829b2085414fb66a9e9bd6c7b7">matrix_trans_mul_vec</a>(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[m][n],</div>
+<div class="line"><a name="l00286"></a><span class="lineno"> 286</span>  uint8_t b_size, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> b_vec[m], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> c_vec[n]);</div>
+<div class="line"><a name="l00287"></a><span class="lineno"> 287</span>  </div>
+<div class="line"><a name="l00288"></a><span class="lineno"> 288</span>  </div>
+<div class="line"><a name="l00302"></a><span class="lineno"> 302</span> <span class="keywordtype">void</span> <a class="code" href="matrix_8h.html#acfd7c6f021f4fbcd393fe849c82f34de">matrix_mul_col_vec_row_vec</a>(uint8_t m, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> col_vec[m], uint8_t n,</div>
+<div class="line"><a name="l00303"></a><span class="lineno"> 303</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> row_vec[n], uint8_t max_n,</div>
+<div class="line"><a name="l00304"></a><span class="lineno"> 304</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> res_mat[][max_n]);</div>
+<div class="line"><a name="l00305"></a><span class="lineno"> 305</span>  </div>
+<div class="line"><a name="l00306"></a><span class="lineno"> 306</span>  </div>
+<div class="line"><a name="l00321"></a><span class="lineno"> 321</span> <span class="keywordtype">void</span> <a class="code" href="matrix_8h.html#a3cf18a2c5c6ad62a4e0a0c00d27e2887">matrix_vec_mul_matr</a>(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> vec[m],</div>
+<div class="line"><a name="l00322"></a><span class="lineno"> 322</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[m][n], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> dst_arr[n]);</div>
+<div class="line"><a name="l00323"></a><span class="lineno"> 323</span>  </div>
+<div class="line"><a name="l00324"></a><span class="lineno"> 324</span>  </div>
+<div class="line"><a name="l00341"></a><span class="lineno"> 341</span> <span class="keywordtype">void</span> <a class="code" href="matrix_8h.html#ac735d13efe5b76ecf60ac13ec79da8e3">matrix_mul_scalar_vec_matr</a>(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> scalar,</div>
+<div class="line"><a name="l00342"></a><span class="lineno"> 342</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> vec[m], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[m][n],</div>
+<div class="line"><a name="l00343"></a><span class="lineno"> 343</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> dst_arr[n]);</div>
+<div class="line"><a name="l00344"></a><span class="lineno"> 344</span>  </div>
+<div class="line"><a name="l00345"></a><span class="lineno"> 345</span>  </div>
+<div class="line"><a name="l00356"></a><span class="lineno"> 356</span> <span class="keywordtype">void</span> <a class="code" href="matrix_8h.html#a0107887a6c40980fa639750be8262f01">matrix_trans_mul_itself</a>(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[m][n],</div>
+<div class="line"><a name="l00357"></a><span class="lineno"> 357</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> AT_mul_A[n][n]);</div>
+<div class="line"><a name="l00358"></a><span class="lineno"> 358</span>  </div>
+<div class="line"><a name="l00368"></a><span class="lineno"> 368</span> <span class="keywordtype">void</span> <a class="code" href="matrix_8h.html#a49aa70a7d6ad76388ea08acfe43b7374">matrix_set_diag_elements</a>(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> value,</div>
+<div class="line"><a name="l00369"></a><span class="lineno"> 369</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> diag_matrix[m][n]);</div>
+<div class="line"><a name="l00370"></a><span class="lineno"> 370</span>  </div>
+<div class="line"><a name="l00383"></a><span class="lineno"> 383</span> <span class="keywordtype">void</span> <a class="code" href="matrix_8h.html#ae808f007791f060590d39c7668501988">matrix_get_diag_mat_new</a>(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> diag_matrix[m][n],</div>
+<div class="line"><a name="l00384"></a><span class="lineno"> 384</span>  uint8_t length, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> vec[]);</div>
+<div class="line"><a name="l00385"></a><span class="lineno"> 385</span>  </div>
+<div class="line"><a name="l00395"></a><span class="lineno"> 395</span> <span class="keywordtype">void</span> <a class="code" href="matrix_8h.html#a18e47742f1653dcc4491badfe2537a0a">matrix_get_diag_mat</a>(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> value,</div>
+<div class="line"><a name="l00396"></a><span class="lineno"> 396</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> diag_matrix[m][n]);</div>
+<div class="line"><a name="l00397"></a><span class="lineno"> 397</span>  </div>
+<div class="line"><a name="l00408"></a><span class="lineno"> 408</span> <span class="keywordtype">void</span> <a class="code" href="matrix_8h.html#a51139e6c87b602e5e0ebfbc406fda35d">matrix_mul_scalar</a>(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> mat_src[m][n],</div>
+<div class="line"><a name="l00409"></a><span class="lineno"> 409</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> value, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> mat_dest[m][n]);</div>
+<div class="line"><a name="l00410"></a><span class="lineno"> 410</span>  </div>
+<div class="line"><a name="l00421"></a><span class="lineno"> 421</span> <span class="keywordtype">void</span> <a class="code" href="matrix_8h.html#a3ae0b9f73f82716f3427a523a3412864">matrix_get_column_vec</a>(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[m][n],</div>
+<div class="line"><a name="l00422"></a><span class="lineno"> 422</span>  uint8_t col_num, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> col_vec[m]);</div>
+<div class="line"><a name="l00423"></a><span class="lineno"> 423</span>  </div>
+<div class="line"><a name="l00435"></a><span class="lineno"> 435</span> <span class="keywordtype">void</span> <a class="code" href="matrix_8h.html#ac20399f6a8de13b1f392a1e3f7c0fbf4">matrix_get_part_column_vec</a>(uint8_t max_m, uint8_t max_n,</div>
+<div class="line"><a name="l00436"></a><span class="lineno"> 436</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[max_m][max_n], uint8_t col_num,</div>
+<div class="line"><a name="l00437"></a><span class="lineno"> 437</span>  uint8_t offset,</div>
+<div class="line"><a name="l00438"></a><span class="lineno"> 438</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> col_vec[max_m - offset]);</div>
+<div class="line"><a name="l00439"></a><span class="lineno"> 439</span>  </div>
+<div class="line"><a name="l00451"></a><span class="lineno"> 451</span> <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> <a class="code" href="matrix_8h.html#aef8d1508ad101227ab255a714ab22b94">matrix_get_max_elem_in_column</a>(uint8_t m, uint8_t n,</div>
+<div class="line"><a name="l00452"></a><span class="lineno"> 452</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[m][n], uint8_t col_num);</div>
+<div class="line"><a name="l00453"></a><span class="lineno"> 453</span>  </div>
+<div class="line"><a name="l00466"></a><span class="lineno"> 466</span> <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> <a class="code" href="matrix_8h.html#a0a3d3cfa20ad3e75ad783af457343672">matrix_get_abs_max_elem_in_column</a>(uint8_t m, uint8_t n,</div>
+<div class="line"><a name="l00467"></a><span class="lineno"> 467</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[m][n],</div>
+<div class="line"><a name="l00468"></a><span class="lineno"> 468</span>  uint8_t col_num);</div>
+<div class="line"><a name="l00469"></a><span class="lineno"> 469</span>  </div>
+<div class="line"><a name="l00482"></a><span class="lineno"> 482</span> <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> <a class="code" href="matrix_8h.html#ad2cecc467ac6480ef0f3423f962b39bc">matrix_get_max_elem_in_part_column</a>(uint8_t max_m, uint8_t max_n,</div>
+<div class="line"><a name="l00483"></a><span class="lineno"> 483</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[max_m][max_n],</div>
+<div class="line"><a name="l00484"></a><span class="lineno"> 484</span>  uint8_t row_num, uint8_t col_num);</div>
+<div class="line"><a name="l00485"></a><span class="lineno"> 485</span>  </div>
+<div class="line"><a name="l00498"></a><span class="lineno"> 498</span> <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> <a class="code" href="matrix_8h.html#a8d77cfae4f1da83acac929c1ce13d252">matrix_get_abs_max_elem_in_part_column</a>(uint8_t max_m, uint8_t max_n,</div>
+<div class="line"><a name="l00499"></a><span class="lineno"> 499</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[max_m][max_n],</div>
+<div class="line"><a name="l00500"></a><span class="lineno"> 500</span>  uint8_t row_num,</div>
+<div class="line"><a name="l00501"></a><span class="lineno"> 501</span>  uint8_t col_num);</div>
+<div class="line"><a name="l00502"></a><span class="lineno"> 502</span>  </div>
+<div class="line"><a name="l00517"></a><span class="lineno"> 517</span> <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> <a class="code" href="matrix_8h.html#a5f6a1948ec005cff4985559821c4943f">matrix_get_abs_max_elem_and_index_in_part_column</a>(uint8_t max_m,</div>
+<div class="line"><a name="l00518"></a><span class="lineno"> 518</span>  uint8_t max_n,</div>
+<div class="line"><a name="l00519"></a><span class="lineno"> 519</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[max_m][max_n],</div>
+<div class="line"><a name="l00520"></a><span class="lineno"> 520</span>  uint8_t row_num, uint8_t col_num,</div>
+<div class="line"><a name="l00521"></a><span class="lineno"> 521</span>  uint8_t *index);</div>
+<div class="line"><a name="l00532"></a><span class="lineno"> 532</span> <span class="keywordtype">void</span> <a class="code" href="matrix_8h.html#a875d6c55a16ee9f8bf523b8c1c82bc6f">matrix_swap_rows</a>(uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[][n], uint8_t i, uint8_t j);</div>
+<div class="line"><a name="l00533"></a><span class="lineno"> 533</span>  </div>
+<div class="line"><a name="l00546"></a><span class="lineno"> 546</span> <span class="keywordtype">void</span> <a class="code" href="matrix_8h.html#a3570c016691507c003dd7a54cb37e7e2">matrix_part_swap_rows</a>(uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[][n], uint8_t i,</div>
+<div class="line"><a name="l00547"></a><span class="lineno"> 547</span>  uint8_t j, uint8_t col_begin,</div>
+<div class="line"><a name="l00548"></a><span class="lineno"> 548</span>  uint8_t col_end);</div>
+<div class="line"><a name="l00560"></a><span class="lineno"> 560</span> <span class="keywordtype">double</span> <a class="code" href="matrix_8h.html#aec03481d950677386122e3c8ba6a5cd0">matrix_get_two_norm</a>(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[][n]);</div>
+<div class="line"><a name="l00561"></a><span class="lineno"> 561</span>  </div>
+<div class="line"><a name="l00573"></a><span class="lineno"> 573</span> <span class="keywordtype">double</span> <a class="code" href="matrix_8h.html#aaf85a32b8562c91d2d1889819580375e">matrix_get_frob_norm</a>(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[][n]);</div>
+<div class="line"><a name="l00574"></a><span class="lineno"> 574</span>  </div>
+<div class="line"><a name="l00584"></a><span class="lineno"> 584</span> <span class="keywordtype">void</span> <a class="code" href="matrix_8h.html#ab166871472924745f70e2bb6e17498c8">matrix_get_inv_upp_triang</a>(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> U[][n],</div>
+<div class="line"><a name="l00585"></a><span class="lineno"> 585</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> inv_U[][m]);</div>
+<div class="line"><a name="l00595"></a><span class="lineno"> 595</span> <span class="keywordtype">void</span> <a class="code" href="matrix_8h.html#ae8e87640fa1a2d259ee4dc98c955cb48">matrix_get_inv_low_triang</a>(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> L[][n],</div>
+<div class="line"><a name="l00596"></a><span class="lineno"> 596</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> inv_L[][m]);</div>
+<div class="line"><a name="l00606"></a><span class="lineno"> 606</span> <span class="keywordtype">void</span> <a class="code" href="matrix_8h.html#abbaf8f39b2b7bb4bd2987f99674c1213">matrix_get_upp_triang</a>(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[][n],</div>
+<div class="line"><a name="l00607"></a><span class="lineno"> 607</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> tr_up_A[][n]);</div>
+<div class="line"><a name="l00617"></a><span class="lineno"> 617</span> <span class="keywordtype">void</span> <a class="code" href="matrix_8h.html#adfd93dda9be9b2e8df5805af7fee7845">matrix_get_low_triang</a>(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[][n],</div>
+<div class="line"><a name="l00618"></a><span class="lineno"> 618</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> tr_low_A[][n]);</div>
+<div class="line"><a name="l00619"></a><span class="lineno"> 619</span>  </div>
+<div class="line"><a name="l00628"></a><span class="lineno"> 628</span> <span class="keywordtype">void</span> <a class="code" href="matrix_8h.html#a32ab12965ec43c2acf65cf9dd510353a">matrix_print</a>(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[m][n]);</div>
+<div class="line"><a name="l00629"></a><span class="lineno"> 629</span>  </div>
+<div class="line"><a name="l00642"></a><span class="lineno"> 642</span> <span class="keywordtype">void</span> <a class="code" href="matrix_8h.html#a72073ccd483f9cc438425d3d8ffd3029">matrix_part_print</a>(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[m][n],</div>
+<div class="line"><a name="l00643"></a><span class="lineno"> 643</span>  uint8_t start_row_ind, uint8_t end_row_ind,</div>
+<div class="line"><a name="l00644"></a><span class="lineno"> 644</span>  uint8_t start_col_ind, uint8_t end_col_ind);</div>
+<div class="line"><a name="l00645"></a><span class="lineno"> 645</span>  </div>
+<div class="line"><a name="l00662"></a><span class="lineno"> 662</span> <span class="keywordtype">void</span> <a class="code" href="matrix_8h.html#a82f374a9b8b215f0ef53d35401eae524">matrix_flex_print</a>(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[m][n],</div>
+<div class="line"><a name="l00663"></a><span class="lineno"> 663</span>  uint8_t before_dec, uint8_t after_dec);</div>
+<div class="line"><a name="l00664"></a><span class="lineno"> 664</span>  </div>
+<div class="line"><a name="l00665"></a><span class="lineno"> 665</span>  </div>
+<div class="line"><a name="l00686"></a><span class="lineno"> 686</span> <span class="keywordtype">void</span> <a class="code" href="matrix_8h.html#a72297a60e572f85929989e813388a9c5">matrix_flex_part_print</a>(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[m][n],</div>
+<div class="line"><a name="l00687"></a><span class="lineno"> 687</span>  uint8_t start_row_ind, uint8_t end_row_ind,</div>
+<div class="line"><a name="l00688"></a><span class="lineno"> 688</span>  uint8_t start_col_ind, uint8_t end_col_ind,</div>
+<div class="line"><a name="l00689"></a><span class="lineno"> 689</span>  uint8_t before_dot, uint8_t after_dot);</div>
+<div class="line"><a name="l00690"></a><span class="lineno"> 690</span>  </div>
+<div class="line"><a name="l00691"></a><span class="lineno"> 691</span>  </div>
+<div class="line"><a name="l00710"></a><span class="lineno"> 710</span> <span class="keywordtype">void</span> <a class="code" href="matrix_8h.html#a06f75ae4924e3f0dfd0b6a25313dc731">matrix_part_mul_scalar_vec_matr</a>(uint8_t max_m, uint8_t max_n,</div>
+<div class="line"><a name="l00711"></a><span class="lineno"> 711</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> scalar, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> vec[max_m],</div>
+<div class="line"><a name="l00712"></a><span class="lineno"> 712</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[max_m][max_n],</div>
+<div class="line"><a name="l00713"></a><span class="lineno"> 713</span>  uint8_t begin_row, uint8_t begin_column,</div>
+<div class="line"><a name="l00714"></a><span class="lineno"> 714</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> dst_arr[max_n - begin_row]);</div>
+<div class="line"><a name="l00715"></a><span class="lineno"> 715</span>  </div>
+<div class="line"><a name="l00729"></a><span class="lineno"> 729</span> <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> <a class="code" href="matrix_8h.html#a722a0230185fd66f0cecbeae7d50ce1a">matrix_read</a>(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[m][n], uint8_t i,</div>
+<div class="line"><a name="l00730"></a><span class="lineno"> 730</span>  uint8_t j);</div>
+<div class="line"><a name="l00743"></a><span class="lineno"> 743</span> <span class="keywordtype">void</span> <a class="code" href="matrix_8h.html#a90b6eafa665d34d7330581c32564d632">matrix_write</a>(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[m][n], uint8_t i,</div>
+<div class="line"><a name="l00744"></a><span class="lineno"> 744</span>  uint8_t j, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> val);</div>
+<div class="line"><a name="l00745"></a><span class="lineno"> 745</span>  </div>
+<div class="line"><a name="l00746"></a><span class="lineno"> 746</span> <span class="preprocessor">#endif </span><span class="comment">/* MATRIX_H_ */</span><span class="preprocessor"></span></div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="amatrix_8h_html_ac20399f6a8de13b1f392a1e3f7c0fbf4"><div class="ttname"><a href="matrix_8h.html#ac20399f6a8de13b1f392a1e3f7c0fbf4">matrix_get_part_column_vec</a></div><div class="ttdeci">void matrix_get_part_column_vec(uint8_t max_m, uint8_t max_n, matrix_t matrix[max_m][max_n], uint8_t col_num, uint8_t offset, matrix_t col_vec[max_m - offset])</div><div class="ttdoc">Get a part of a column of a matrix.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00623">matrix.c:623</a></div></div>
+<div class="ttc" id="amatrix_8h_html_ad610bcce232c69ca302550f57b1ad9fb"><div class="ttname"><a href="matrix_8h.html#ad610bcce232c69ca302550f57b1ad9fb">matrix_mul_vec</a></div><div class="ttdeci">void matrix_mul_vec(uint8_t m, uint8_t n, matrix_t matrix[m][n], matrix_t vec[n], matrix_t dst_arr[m])</div><div class="ttdoc">Compute the multiplication of a matrix with a column vector.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00434">matrix.c:434</a></div></div>
+<div class="ttc" id="amatrix_8h_html_a0e06b2cfb86340e88be7b1219bef0ce3"><div class="ttname"><a href="matrix_8h.html#a0e06b2cfb86340e88be7b1219bef0ce3">matrix_clear</a></div><div class="ttdeci">void matrix_clear(uint8_t m, uint8_t n, matrix_t matrix[m][n])</div><div class="ttdoc">Clear all the elements of the vector.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00046">matrix.c:46</a></div></div>
+<div class="ttc" id="amatrix_8h_html_a875d6c55a16ee9f8bf523b8c1c82bc6f"><div class="ttname"><a href="matrix_8h.html#a875d6c55a16ee9f8bf523b8c1c82bc6f">matrix_swap_rows</a></div><div class="ttdeci">void matrix_swap_rows(uint8_t n, matrix_t matrix[][n], uint8_t i, uint8_t j)</div><div class="ttdoc">Swaps two rows of a matrix.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00725">matrix.c:725</a></div></div>
+<div class="ttc" id="astructmatrix__dim__t_html_a853244a0562d43bfdcdcb704ed707721"><div class="ttname"><a href="structmatrix__dim__t.html#a853244a0562d43bfdcdcb704ed707721">matrix_dim_t::row_num</a></div><div class="ttdeci">uint8_t row_num</div><div class="ttdoc">the row number</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8h_source.html#l00061">matrix.h:61</a></div></div>
+<div class="ttc" id="amatrix_8h_html_aed6fab1ffa40243eeb08117215082be3"><div class="ttname"><a href="matrix_8h.html#aed6fab1ffa40243eeb08117215082be3">matrix_sub</a></div><div class="ttdeci">void matrix_sub(uint8_t m, uint8_t n, matrix_t A[m][n], matrix_t B[m][n], matrix_t A_minus_B[m][n])</div><div class="ttdoc">Compute the subtraction of two matrices.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00329">matrix.c:329</a></div></div>
+<div class="ttc" id="amatrix_8h_html_a0a3d3cfa20ad3e75ad783af457343672"><div class="ttname"><a href="matrix_8h.html#a0a3d3cfa20ad3e75ad783af457343672">matrix_get_abs_max_elem_in_column</a></div><div class="ttdeci">matrix_t matrix_get_abs_max_elem_in_column(uint8_t m, uint8_t n, matrix_t matrix[m][n], uint8_t col_num)</div><div class="ttdoc">Get the maximum absolute value of a column vector in a matrix.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00651">matrix.c:651</a></div></div>
+<div class="ttc" id="amatrix_8h_html_a90b6eafa665d34d7330581c32564d632"><div class="ttname"><a href="matrix_8h.html#a90b6eafa665d34d7330581c32564d632">matrix_write</a></div><div class="ttdeci">void matrix_write(uint8_t m, uint8_t n, matrix_t matrix[m][n], uint8_t i, uint8_t j, matrix_t val)</div><div class="ttdoc">Write a value in a matrix at the position (i,j).</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00901">matrix.c:901</a></div></div>
+<div class="ttc" id="amatrix_8h_html_ad2cecc467ac6480ef0f3423f962b39bc"><div class="ttname"><a href="matrix_8h.html#ad2cecc467ac6480ef0f3423f962b39bc">matrix_get_max_elem_in_part_column</a></div><div class="ttdeci">matrix_t matrix_get_max_elem_in_part_column(uint8_t max_m, uint8_t max_n, matrix_t matrix[max_m][max_n], uint8_t row_num, uint8_t col_num)</div><div class="ttdoc">Get the largest element of a column vector in a sub-matrix.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00668">matrix.c:668</a></div></div>
+<div class="ttc" id="amatrix_8h_html_a06f75ae4924e3f0dfd0b6a25313dc731"><div class="ttname"><a href="matrix_8h.html#a06f75ae4924e3f0dfd0b6a25313dc731">matrix_part_mul_scalar_vec_matr</a></div><div class="ttdeci">void matrix_part_mul_scalar_vec_matr(uint8_t max_m, uint8_t max_n, matrix_t scalar, matrix_t vec[max_m], matrix_t matrix[max_m][max_n], uint8_t begin_row, uint8_t begin_column, matrix_t dst_arr[max_n - begin_row])</div><div class="ttdoc">Compute the multiplication of a scalar with row vector and a sub-matrix.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00489">matrix.c:489</a></div></div>
+<div class="ttc" id="amatrix_8h_html_a3763252ca00e4c8522ae1bfd5ef40f0a"><div class="ttname"><a href="matrix_8h.html#a3763252ca00e4c8522ae1bfd5ef40f0a">matrix_part_mul</a></div><div class="ttdeci">void matrix_part_mul(uint8_t a_col_num_max, matrix_t a_matrix[][a_col_num_max], uint8_t b_col_num_max, matrix_t b_matrix[][b_col_num_max], uint8_t a_start_row_ind, uint8_t a_end_row_ind, uint8_t a_start_col_ind, uint8_t a_end_col_ind, uint8_t b_start_row_ind, uint8_t b_end_row_ind, uint8_t b_start_col_ind, uint8_t b_end_col_ind, uint8_t dest_col_size, matrix_t dest_matrix[][dest_col_size])</div><div class="ttdoc">Compute the partial multiplication of two matrices.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00391">matrix.c:391</a></div></div>
+<div class="ttc" id="amatrix_8h_html_ad7c9a682a3cc4ca33c030afa8798241a"><div class="ttname"><a href="matrix_8h.html#ad7c9a682a3cc4ca33c030afa8798241a">matrix_transpose</a></div><div class="ttdeci">void matrix_transpose(uint8_t m, uint8_t n, matrix_t src_matrix[m][n], matrix_t dest_matrix[n][m])</div><div class="ttdoc">Computes the transpose of a matrix.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00056">matrix.c:56</a></div></div>
+<div class="ttc" id="amatrix_8h_html_ac7101bbaa3a2698658276a7e21501093"><div class="ttname"><a href="matrix_8h.html#ac7101bbaa3a2698658276a7e21501093">matrix_add</a></div><div class="ttdeci">void matrix_add(uint8_t m, uint8_t n, matrix_t A[m][n], matrix_t B[m][n], matrix_t A_plus_B[m][n])</div><div class="ttdoc">Compute the addition of two matrices.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00341">matrix.c:341</a></div></div>
+<div class="ttc" id="amatrix_8h_html_a0107887a6c40980fa639750be8262f01"><div class="ttname"><a href="matrix_8h.html#a0107887a6c40980fa639750be8262f01">matrix_trans_mul_itself</a></div><div class="ttdeci">void matrix_trans_mul_itself(uint8_t m, uint8_t n, matrix_t A[m][n], matrix_t AT_mul_A[n][n])</div><div class="ttdoc">Compute the multiplication of the transpose of a matrix with itself.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00545">matrix.c:545</a></div></div>
+<div class="ttc" id="amatrix_8h_html_a72073ccd483f9cc438425d3d8ffd3029"><div class="ttname"><a href="matrix_8h.html#a72073ccd483f9cc438425d3d8ffd3029">matrix_part_print</a></div><div class="ttdeci">void matrix_part_print(uint8_t m, uint8_t n, matrix_t matrix[m][n], uint8_t start_row_ind, uint8_t end_row_ind, uint8_t start_col_ind, uint8_t end_col_ind)</div><div class="ttdoc">Display the values of the sub-matrix elements.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00164">matrix.c:164</a></div></div>
+<div class="ttc" id="amatrix_8h_html_aa8acafd4181978f536976f8151e51516"><div class="ttname"><a href="matrix_8h.html#aa8acafd4181978f536976f8151e51516">matrix_add_to_diag</a></div><div class="ttdeci">void matrix_add_to_diag(uint8_t n, matrix_t A[][n], uint8_t diag_el_num, matrix_t value)</div><div class="ttdoc">Add a number to diagonal elements of a matrix.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00353">matrix.c:353</a></div></div>
+<div class="ttc" id="amatrix_8h_html_a53879e7c4cfbc96725aef9f8234be7dd"><div class="ttname"><a href="matrix_8h.html#a53879e7c4cfbc96725aef9f8234be7dd">matrix_get_rank</a></div><div class="ttdeci">uint8_t matrix_get_rank(uint8_t m, uint8_t n, matrix_t singl_values_arr[], uint8_t length)</div><div class="ttdoc">Compute the rank of a matrix.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00312">matrix.c:312</a></div></div>
+<div class="ttc" id="amatrix_8h_html_abbaf8f39b2b7bb4bd2987f99674c1213"><div class="ttname"><a href="matrix_8h.html#abbaf8f39b2b7bb4bd2987f99674c1213">matrix_get_upp_triang</a></div><div class="ttdeci">void matrix_get_upp_triang(uint8_t m, uint8_t n, matrix_t A[][n], matrix_t tr_up_A[][n])</div><div class="ttdoc">Gets the upper triangular part of a matrix.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00841">matrix.c:841</a></div></div>
+<div class="ttc" id="amatrix_8h_html_a53b0a1829b2085414fb66a9e9bd6c7b7"><div class="ttname"><a href="matrix_8h.html#a53b0a1829b2085414fb66a9e9bd6c7b7">matrix_trans_mul_vec</a></div><div class="ttdeci">void matrix_trans_mul_vec(uint8_t m, uint8_t n, matrix_t A[m][n], uint8_t b_size, matrix_t b_vec[m], matrix_t c_vec[n])</div><div class="ttdoc">Compute the multiplication of transposed matrix with column vector.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00511">matrix.c:511</a></div></div>
+<div class="ttc" id="amatrix_8h_html_a3cf18a2c5c6ad62a4e0a0c00d27e2887"><div class="ttname"><a href="matrix_8h.html#a3cf18a2c5c6ad62a4e0a0c00d27e2887">matrix_vec_mul_matr</a></div><div class="ttdeci">void matrix_vec_mul_matr(uint8_t m, uint8_t n, matrix_t vec[m], matrix_t matrix[m][n], matrix_t dst_arr[n])</div><div class="ttdoc">Compute the multiplication of row vector and a matrix.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00452">matrix.c:452</a></div></div>
+<div class="ttc" id="amatrix_8h_html_a18e47742f1653dcc4491badfe2537a0a"><div class="ttname"><a href="matrix_8h.html#a18e47742f1653dcc4491badfe2537a0a">matrix_get_diag_mat</a></div><div class="ttdeci">void matrix_get_diag_mat(uint8_t m, uint8_t n, matrix_t value, matrix_t diag_matrix[m][n])</div><div class="ttdoc">Create a diagonal matrix with a specified value.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00594">matrix.c:594</a></div></div>
+<div class="ttc" id="amatrix_8h_html_a82f374a9b8b215f0ef53d35401eae524"><div class="ttname"><a href="matrix_8h.html#a82f374a9b8b215f0ef53d35401eae524">matrix_flex_print</a></div><div class="ttdeci">void matrix_flex_print(uint8_t m, uint8_t n, matrix_t matrix[m][n], uint8_t before_dec, uint8_t after_dec)</div><div class="ttdoc">Display the values of the matrix elements.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00220">matrix.c:220</a></div></div>
+<div class="ttc" id="amatrix_8h_html_acfd7c6f021f4fbcd393fe849c82f34de"><div class="ttname"><a href="matrix_8h.html#acfd7c6f021f4fbcd393fe849c82f34de">matrix_mul_col_vec_row_vec</a></div><div class="ttdeci">void matrix_mul_col_vec_row_vec(uint8_t m, matrix_t col_vec[m], uint8_t n, matrix_t row_vec[n], uint8_t max_n, matrix_t res_mat[][max_n])</div><div class="ttdoc">Compute the multiplication of a column and row vector.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00531">matrix.c:531</a></div></div>
+<div class="ttc" id="amatrix_8h_html_adfd93dda9be9b2e8df5805af7fee7845"><div class="ttname"><a href="matrix_8h.html#adfd93dda9be9b2e8df5805af7fee7845">matrix_get_low_triang</a></div><div class="ttdeci">void matrix_get_low_triang(uint8_t m, uint8_t n, matrix_t A[][n], matrix_t tr_low_A[][n])</div><div class="ttdoc">Gets the lower triangular part of a matrix.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00868">matrix.c:868</a></div></div>
+<div class="ttc" id="amatrix_8h_html_a51139e6c87b602e5e0ebfbc406fda35d"><div class="ttname"><a href="matrix_8h.html#a51139e6c87b602e5e0ebfbc406fda35d">matrix_mul_scalar</a></div><div class="ttdeci">void matrix_mul_scalar(uint8_t m, uint8_t n, matrix_t mat_src[m][n], matrix_t value, matrix_t mat_dest[m][n])</div><div class="ttdoc">Multiply all elements of a matrix with a specified value.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00602">matrix.c:602</a></div></div>
+<div class="ttc" id="astructmatrix__dim__t_html"><div class="ttname"><a href="structmatrix__dim__t.html">matrix_dim_t</a></div><div class="ttdoc">A structure to define the row and column number of a matrix.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8h_source.html#l00060">matrix.h:60</a></div></div>
+<div class="ttc" id="amatrix_8h_html_a72297a60e572f85929989e813388a9c5"><div class="ttname"><a href="matrix_8h.html#a72297a60e572f85929989e813388a9c5">matrix_flex_part_print</a></div><div class="ttdeci">void matrix_flex_part_print(uint8_t m, uint8_t n, matrix_t matrix[m][n], uint8_t start_row_ind, uint8_t end_row_ind, uint8_t start_col_ind, uint8_t end_col_ind, uint8_t before_dot, uint8_t after_dot)</div><div class="ttdoc">Display the values of the sub-matrix elements.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00247">matrix.c:247</a></div></div>
+<div class="ttc" id="amatrix_8h_html_ae8e87640fa1a2d259ee4dc98c955cb48"><div class="ttname"><a href="matrix_8h.html#ae8e87640fa1a2d259ee4dc98c955cb48">matrix_get_inv_low_triang</a></div><div class="ttdeci">void matrix_get_inv_low_triang(uint8_t m, uint8_t n, matrix_t L[][n], matrix_t inv_L[][m])</div><div class="ttdoc">Computes the inverse a lower triangular matrix.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00817">matrix.c:817</a></div></div>
+<div class="ttc" id="amatrix_8h_html_aec03481d950677386122e3c8ba6a5cd0"><div class="ttname"><a href="matrix_8h.html#aec03481d950677386122e3c8ba6a5cd0">matrix_get_two_norm</a></div><div class="ttdeci">double matrix_get_two_norm(uint8_t m, uint8_t n, matrix_t A[][n])</div><div class="ttdoc">Get the 2-norm of a matrix that is equal to the largest singular value.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00752">matrix.c:752</a></div></div>
+<div class="ttc" id="amatrix_8h_html_ac735d13efe5b76ecf60ac13ec79da8e3"><div class="ttname"><a href="matrix_8h.html#ac735d13efe5b76ecf60ac13ec79da8e3">matrix_mul_scalar_vec_matr</a></div><div class="ttdeci">void matrix_mul_scalar_vec_matr(uint8_t m, uint8_t n, matrix_t scalar, matrix_t vec[m], matrix_t matrix[m][n], matrix_t dst_arr[n])</div><div class="ttdoc">Compute the multiplication of a scalar with row vector and a matrix.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00470">matrix.c:470</a></div></div>
+<div class="ttc" id="amatrix_8h_html_a722a0230185fd66f0cecbeae7d50ce1a"><div class="ttname"><a href="matrix_8h.html#a722a0230185fd66f0cecbeae7d50ce1a">matrix_read</a></div><div class="ttdeci">matrix_t matrix_read(uint8_t m, uint8_t n, matrix_t matrix[m][n], uint8_t i, uint8_t j)</div><div class="ttdoc">Get the value of a matrix at the position (i,j).</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00895">matrix.c:895</a></div></div>
+<div class="ttc" id="amatrix_8h_html_ae8d8daa117e9f96a5e29fe6c76c4998c"><div class="ttname"><a href="matrix_8h.html#ae8d8daa117e9f96a5e29fe6c76c4998c">matrix_copy</a></div><div class="ttdeci">void matrix_copy(uint8_t m, uint8_t n, matrix_t src_matrix[m][n], matrix_t dest_matrix[m][n])</div><div class="ttdoc">Copy the elements of a matrix to another matrix.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00083">matrix.c:83</a></div></div>
+<div class="ttc" id="amatrix_8h_html_a49aa70a7d6ad76388ea08acfe43b7374"><div class="ttname"><a href="matrix_8h.html#a49aa70a7d6ad76388ea08acfe43b7374">matrix_set_diag_elements</a></div><div class="ttdeci">void matrix_set_diag_elements(uint8_t m, uint8_t n, matrix_t value, matrix_t diag_matrix[m][n])</div><div class="ttdoc">Set all the diagonal elements of a matrix with a specified value.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00565">matrix.c:565</a></div></div>
+<div class="ttc" id="amatrix_8h_html_ab166871472924745f70e2bb6e17498c8"><div class="ttname"><a href="matrix_8h.html#ab166871472924745f70e2bb6e17498c8">matrix_get_inv_upp_triang</a></div><div class="ttdeci">void matrix_get_inv_upp_triang(uint8_t m, uint8_t n, matrix_t U[][n], matrix_t inv_U[][m])</div><div class="ttdoc">Computes the inverse an upper triangular matrix.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00795">matrix.c:795</a></div></div>
+<div class="ttc" id="amatrix_8h_html_af38ac6b76d645fea9abd6caeb4d9dd31"><div class="ttname"><a href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a></div><div class="ttdeci">#define matrix_t</div><div class="ttdoc">Define the data type of the matrix elements.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8h_source.html#l00038">matrix.h:38</a></div></div>
+<div class="ttc" id="amatrix_8h_html_a3570c016691507c003dd7a54cb37e7e2"><div class="ttname"><a href="matrix_8h.html#a3570c016691507c003dd7a54cb37e7e2">matrix_part_swap_rows</a></div><div class="ttdeci">void matrix_part_swap_rows(uint8_t n, matrix_t matrix[][n], uint8_t i, uint8_t j, uint8_t col_begin, uint8_t col_end)</div><div class="ttdoc">Swaps two rows of a sub-matrix.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00736">matrix.c:736</a></div></div>
+<div class="ttc" id="amatrix_8h_html_a3ae0b9f73f82716f3427a523a3412864"><div class="ttname"><a href="matrix_8h.html#a3ae0b9f73f82716f3427a523a3412864">matrix_get_column_vec</a></div><div class="ttdeci">void matrix_get_column_vec(uint8_t m, uint8_t n, matrix_t matrix[m][n], uint8_t col_num, matrix_t col_vec[m])</div><div class="ttdoc">Get a column of a matrix.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00612">matrix.c:612</a></div></div>
+<div class="ttc" id="amatrix_8h_html_a8d77cfae4f1da83acac929c1ce13d252"><div class="ttname"><a href="matrix_8h.html#a8d77cfae4f1da83acac929c1ce13d252">matrix_get_abs_max_elem_in_part_column</a></div><div class="ttdeci">matrix_t matrix_get_abs_max_elem_in_part_column(uint8_t max_m, uint8_t max_n, matrix_t matrix[max_m][max_n], uint8_t row_num, uint8_t col_num)</div><div class="ttdoc">Get the maximum absolute value of a column vector in a sub-matrix.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00685">matrix.c:685</a></div></div>
+<div class="ttc" id="amatrix_8h_html_a32ab12965ec43c2acf65cf9dd510353a"><div class="ttname"><a href="matrix_8h.html#a32ab12965ec43c2acf65cf9dd510353a">matrix_print</a></div><div class="ttdeci">void matrix_print(uint8_t m, uint8_t n, matrix_t matrix[m][n])</div><div class="ttdoc">Display the values of the matrix elements.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00141">matrix.c:141</a></div></div>
+<div class="ttc" id="amatrix_8h_html_aaf85a32b8562c91d2d1889819580375e"><div class="ttname"><a href="matrix_8h.html#aaf85a32b8562c91d2d1889819580375e">matrix_get_frob_norm</a></div><div class="ttdeci">double matrix_get_frob_norm(uint8_t m, uint8_t n, matrix_t A[][n])</div><div class="ttdoc">Get the Frobenius norm of a matrix.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00782">matrix.c:782</a></div></div>
+<div class="ttc" id="amatrix_8h_html_a48b36217faeda15438f4e07c54d0ef9e"><div class="ttname"><a href="matrix_8h.html#a48b36217faeda15438f4e07c54d0ef9e">matrix_in_place_transpose</a></div><div class="ttdeci">void matrix_in_place_transpose(uint8_t m, matrix_t matrix[][m])</div><div class="ttdoc">Computes the in-place transpose of a matrix.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00069">matrix.c:69</a></div></div>
+<div class="ttc" id="amatrix_8h_html_a5f6a1948ec005cff4985559821c4943f"><div class="ttname"><a href="matrix_8h.html#a5f6a1948ec005cff4985559821c4943f">matrix_get_abs_max_elem_and_index_in_part_column</a></div><div class="ttdeci">matrix_t matrix_get_abs_max_elem_and_index_in_part_column(uint8_t max_m, uint8_t max_n, matrix_t matrix[max_m][max_n], uint8_t row_num, uint8_t col_num, uint8_t *index)</div><div class="ttdoc">Get the maximum absolute value and its position in a column vector in a sub-matrix.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00703">matrix.c:703</a></div></div>
+<div class="ttc" id="amatrix_8h_html_aef8d1508ad101227ab255a714ab22b94"><div class="ttname"><a href="matrix_8h.html#aef8d1508ad101227ab255a714ab22b94">matrix_get_max_elem_in_column</a></div><div class="ttdeci">matrix_t matrix_get_max_elem_in_column(uint8_t m, uint8_t n, matrix_t matrix[m][n], uint8_t col_num)</div><div class="ttdoc">Get the largest element of a column vector in a matrix.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00635">matrix.c:635</a></div></div>
+<div class="ttc" id="amatrix_8h_html_a56513a88eff05b0683320c532fadf945"><div class="ttname"><a href="matrix_8h.html#a56513a88eff05b0683320c532fadf945">matrix_part_copy</a></div><div class="ttdeci">void matrix_part_copy(uint8_t m, uint8_t n, matrix_t src_matrix[m][n], uint8_t start_row_ind, uint8_t end_row_ind, uint8_t start_col_ind, uint8_t end_col_ind, uint8_t dest_row_num, uint8_t dest_col_num, matrix_t dest_matrix[][dest_col_num])</div><div class="ttdoc">Copy a part of a matrix to another matrix or sub-matrix.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00089">matrix.c:89</a></div></div>
+<div class="ttc" id="amatrix_8h_html_a550aa0d5a3212e35ad0af134895fd20a"><div class="ttname"><a href="matrix_8h.html#a550aa0d5a3212e35ad0af134895fd20a">matrix_mul</a></div><div class="ttdeci">void matrix_mul(uint8_t a_line_num, uint8_t a_col_num, matrix_t a_matrix[a_line_num][a_col_num], uint8_t b_line_num, uint8_t b_col_num, matrix_t b_matrix[b_line_num][b_col_num], matrix_t dest_matrix[a_line_num][b_col_num])</div><div class="ttdoc">Compute the multiplication of two matrices.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00363">matrix.c:363</a></div></div>
+<div class="ttc" id="amatrix_8h_html_acfd2bbc4a90915e57a4555694e842312"><div class="ttname"><a href="matrix_8h.html#acfd2bbc4a90915e57a4555694e842312">matrix_init</a></div><div class="ttdeci">void matrix_init(uint8_t m, uint8_t n, matrix_t matrix[m][n], matrix_t value)</div><div class="ttdoc">Initialize all the elements of the matrix with a specified value.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00051">matrix.c:51</a></div></div>
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+<a href="#func-members">Functions</a> </div>
+ <div class="headertitle">
+<div class="title">matrix_test.c File Reference</div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Examples of matrix computations.
+<a href="#details">More...</a></p>
+<div class="textblock"><code>#include <stdio.h></code><br />
+<code>#include <stdint.h></code><br />
+<code>#include <inttypes.h></code><br />
+<code>#include <math.h></code><br />
+<code>#include "<a class="el" href="utils_8h_source.html">utils.h</a>"</code><br />
+<code>#include "<a class="el" href="matrix_8h_source.html">matrix.h</a>"</code><br />
+</div>
+<p><a href="matrix__test_8c_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:aad3d0f4acb79e8a9b61eda59dc3a12b2"><td class="memItemLeft" align="right" valign="top"><a id="aad3d0f4acb79e8a9b61eda59dc3a12b2"></a>
+void </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix__test_8c.html#aad3d0f4acb79e8a9b61eda59dc3a12b2">matrix_test</a> (void)</td></tr>
+<tr class="memdesc:aad3d0f4acb79e8a9b61eda59dc3a12b2"><td class="mdescLeft"> </td><td class="mdescRight">Test some matrix operations. <br /></td></tr>
+<tr class="separator:aad3d0f4acb79e8a9b61eda59dc3a12b2"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a5713bd664a96ccd028896420050f22df"><td class="memItemLeft" align="right" valign="top"><a id="a5713bd664a96ccd028896420050f22df"></a>
+void </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix__test_8c.html#a5713bd664a96ccd028896420050f22df">inv_triangular_matrices_test</a> (void)</td></tr>
+<tr class="memdesc:a5713bd664a96ccd028896420050f22df"><td class="mdescLeft"> </td><td class="mdescRight">Examples of the inverse of triangular matrices. <br /></td></tr>
+<tr class="separator:a5713bd664a96ccd028896420050f22df"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:af3bd1663337eb8dbe0fbcb49b517621f"><td class="memItemLeft" align="right" valign="top"><a id="af3bd1663337eb8dbe0fbcb49b517621f"></a>
+void </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix__test_8c.html#af3bd1663337eb8dbe0fbcb49b517621f">triangular_matrices_test</a> (void)</td></tr>
+<tr class="memdesc:af3bd1663337eb8dbe0fbcb49b517621f"><td class="mdescLeft"> </td><td class="mdescRight">Examples of triangular matrices. <br /></td></tr>
+<tr class="separator:af3bd1663337eb8dbe0fbcb49b517621f"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Examples of matrix computations. </p>
+<p>Matrix computation examples of the (see <a class="el" href="matrix_8h.html">matrix</a> functions).</p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="matrix__test_8c_source.html">matrix_test.c</a>.</p>
+</div></div><!-- contents -->
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+ <li class="navelem"><a class="el" href="dir_d28a4824dc47e487b107a5db32ef43c4.html">examples</a></li><li class="navelem"><a class="el" href="dir_bb878afedbb83074fe4b7f6b65e06747.html">linear_algebra</a></li><li class="navelem"><a class="el" href="dir_d1d208ee40a2f911c6ff49bd490e63cd.html">basic_operations</a></li><li class="navelem"><a class="el" href="matrix__test_8c.html">matrix_test.c</a></li>
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+<div class="title">matrix_test.c</div> </div>
+</div><!--header-->
+<div class="contents">
+<a href="matrix__test_8c.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="preprocessor">#include <stdio.h></span></div>
+<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="preprocessor">#include <stdint.h></span></div>
+<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#include <inttypes.h></span></div>
+<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="preprocessor">#include <math.h></span></div>
+<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>  </div>
+<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="preprocessor">#include "<a class="code" href="utils_8h.html">utils.h</a>"</span></div>
+<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="preprocessor">#include "<a class="code" href="matrix_8h.html">matrix.h</a>"</span></div>
+<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>  </div>
+<div class="line"><a name="l00031"></a><span class="lineno"><a class="line" href="matrix__test_8c.html#aad3d0f4acb79e8a9b61eda59dc3a12b2"> 31</a></span> <span class="keywordtype">void</span> <a class="code" href="matrix__test_8c.html#aad3d0f4acb79e8a9b61eda59dc3a12b2">matrix_test</a>(<span class="keywordtype">void</span>)</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>  puts(<span class="stringliteral">"############ Basic Matrix Algebra ###############"</span>);</div>
+<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  uint8_t m = 3;</div>
+<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  uint8_t n = 4;</div>
+<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> diag_elem = <a class="code" href="matrix_8h.html#ae71449b1cc6e6250b91f539153a7a0d3">M_PI</a>;</div>
+<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  </div>
+<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix1[3][4] = { { 0.2785, 0.9649, 0.9572, 0.1419 },</div>
+<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>  { 0.5469, 0.1576, 0.4854, 0.4218 },</div>
+<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>  { 0.9575, 0.9706, 0.8003, 0.9157 },</div>
+<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  };</div>
+<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  </div>
+<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix2[3][4] = { { 0.7922, 0.0357, 0.6787, 0.3922 },</div>
+<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  { 0.9595, 0.8491, 0.7577, 0.6555 },</div>
+<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  { 0.6557, 0.9340, 0.7431, 0.1712 },</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>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> res_matrix[m][n];</div>
+<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> trans_matrix[n][m];</div>
+<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> res_mul_matrix[m][m];</div>
+<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> diag_vec[3] = { 1.1, 2.3, 3.5 };</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>  <a class="code" href="matrix_8h.html#ac7101bbaa3a2698658276a7e21501093">matrix_add</a>(m, n, matrix1, matrix2, res_matrix);</div>
+<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  printf(<span class="stringliteral">"matrix1 + matrix2 = "</span>);</div>
+<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  <a class="code" href="matrix_8h.html#a82f374a9b8b215f0ef53d35401eae524">matrix_flex_print</a>(m, n, res_matrix, 7, 4);</div>
+<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  </div>
+<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  <a class="code" href="matrix_8h.html#aed6fab1ffa40243eeb08117215082be3">matrix_sub</a>(m, n, matrix1, matrix2, res_matrix);</div>
+<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  printf(<span class="stringliteral">"matrix1 - matrix2 = "</span>);</div>
+<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  <a class="code" href="matrix_8h.html#a82f374a9b8b215f0ef53d35401eae524">matrix_flex_print</a>(m, n, res_matrix, 7, 4);</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>  <a class="code" href="matrix_8h.html#ad7c9a682a3cc4ca33c030afa8798241a">matrix_transpose</a>(m, n, matrix2, trans_matrix);</div>
+<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  printf(<span class="stringliteral">"trans(matrix2) = "</span>);</div>
+<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  <a class="code" href="matrix_8h.html#a82f374a9b8b215f0ef53d35401eae524">matrix_flex_print</a>(n, m, trans_matrix, 7, 4);</div>
+<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  </div>
+<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  <a class="code" href="matrix_8h.html#a550aa0d5a3212e35ad0af134895fd20a">matrix_mul</a>(m, n, matrix1, n, m, trans_matrix, res_mul_matrix);</div>
+<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  printf(<span class="stringliteral">"matrix1 x matrix2 = "</span>);</div>
+<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  <a class="code" href="matrix_8h.html#a82f374a9b8b215f0ef53d35401eae524">matrix_flex_print</a>(m, m, res_mul_matrix, 7, 4);</div>
+<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  </div>
+<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  <a class="code" href="matrix_8h.html#a18e47742f1653dcc4491badfe2537a0a">matrix_get_diag_mat</a>(m, n, diag_elem, res_matrix);</div>
+<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  printf(<span class="stringliteral">"dig_matrix = "</span>);</div>
+<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  <a class="code" href="matrix_8h.html#a82f374a9b8b215f0ef53d35401eae524">matrix_flex_print</a>(m, n, res_matrix, 7, 4);</div>
+<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  </div>
+<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  <a class="code" href="matrix_8h.html#ae808f007791f060590d39c7668501988">matrix_get_diag_mat_new</a>(m, n, res_matrix, m, diag_vec);</div>
+<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  printf(<span class="stringliteral">"dig_matrix = "</span>);</div>
+<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  <a class="code" href="matrix_8h.html#a82f374a9b8b215f0ef53d35401eae524">matrix_flex_print</a>(m, n, res_matrix, 7, 4);</div>
+<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  </div>
+<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix3[5][5] = {</div>
+<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  { 0.8147, 0.0975, 0.1576, 0.1419, 0.6557 },</div>
+<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  { 0.9058, 0.2785, 0.9706, 0.4218, 0.0357 },</div>
+<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  { 0.1270, 0.5469, 0.9572, 0.9157, 0.8491 },</div>
+<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  { 0.9595, 0.8491, 0.7577, 0.6555, 0.6787 },</div>
+<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  { 0.6557, 0.9340, 0.7431, 0.1712, 0.9595 },</div>
+<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  };</div>
+<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  </div>
+<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  <a class="code" href="matrix_8h.html#a875d6c55a16ee9f8bf523b8c1c82bc6f">matrix_swap_rows</a>(5, matrix3, 3, 1);</div>
+<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  printf(<span class="stringliteral">"swapped matrix3 = "</span>);</div>
+<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  <a class="code" href="matrix_8h.html#a82f374a9b8b215f0ef53d35401eae524">matrix_flex_print</a>(5, 5, matrix3, 7, 4);</div>
+<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  </div>
+<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  puts(<span class="stringliteral">" *** Test Partial Matrix Multiplication *** "</span>);</div>
+<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[11][7] =</div>
+<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  {</div>
+<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  { 0.8147, 0.9706, 0.8491, 0.0462, 0.1869, 0.4984, 0.5472 },</div>
+<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  { 0.9058, 0.9572, 0.9340, 0.0971, 0.4898, 0.9597, 0.1386 },</div>
+<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  { 0.1270, 0.4854, 0.6787, 0.8235, 0.4456, 0.3404, 0.1493 },</div>
+<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  { 0.9134, 0.8003, 0.7577, 0.6948, 0.6463, 0.5853, 0.2575 },</div>
+<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  { 0.6324, 0.1419, 0.7431, 0.3171, 0.7094, 0.2238, 0.8407 },</div>
+<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  { 0.0975, 0.4218, 0.3922, 0.9502, 0.7547, 0.7513, 0.2543 },</div>
+<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  { 0.2785, 0.9157, 0.6555, 0.0344, 0.2760, 0.2551, 0.8143 },</div>
+<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  { 0.5469, 0.7922, 0.1712, 0.4387, 0.6797, 0.5060, 0.2435 },</div>
+<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  { 0.9575, 0.9595, 0.7060, 0.3816, 0.6551, 0.6991, 0.9293 },</div>
+<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  { 0.9649, 0.6557, 0.0318, 0.7655, 0.1626, 0.8909, 0.3500 },</div>
+<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  { 0.1576, 0.0357, 0.2769, 0.7952, 0.1190, 0.9593, 0.1966 }</div>
+<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  };</div>
+<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  </div>
+<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> B[7][5] = {</div>
+<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  { 0.2511, 0.9172, 0.0540, 0.0119, 0.6020 },</div>
+<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  { 0.6160, 0.2858, 0.5308, 0.3371, 0.2630 },</div>
+<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  { 0.4733, 0.7572, 0.7792, 0.1622, 0.6541 },</div>
+<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  { 0.3517, 0.7537, 0.9340, 0.7943, 0.6892 },</div>
+<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  { 0.8308, 0.3804, 0.1299, 0.3112, 0.7482 },</div>
+<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  { 0.5853, 0.5678, 0.5688, 0.5285, 0.4505 },</div>
+<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  { 0.5497, 0.0759, 0.4694, 0.1656, 0.0838 }</div>
+<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  };</div>
+<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  </div>
+<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  uint8_t l;</div>
+<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  uint8_t a_row_begin, a_row_end, a_col_begin, a_col_end;</div>
+<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  uint8_t b_row_begin, b_row_end, b_col_begin, b_col_end;</div>
+<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  m = 11;</div>
+<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  n = 7;</div>
+<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  l = 5;</div>
+<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> C[5][3];</div>
+<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  </div>
+<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  a_row_begin = 3, a_row_end = 7;</div>
+<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  a_col_begin = 2, a_col_end = 4;</div>
+<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  b_row_begin = 3, b_row_end = 5;</div>
+<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  b_col_begin = 1, b_col_end = 3;</div>
+<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  <a class="code" href="matrix_8h.html#a3763252ca00e4c8522ae1bfd5ef40f0a">matrix_part_mul</a>(n, A, l, B,</div>
+<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  a_row_begin, a_row_end, a_col_begin, a_col_end,</div>
+<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  b_row_begin, b_row_end, b_col_begin, b_col_end,</div>
+<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  3, C);</div>
+<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  </div>
+<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  printf(<span class="stringliteral">"part_A = "</span>);</div>
+<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  <a class="code" href="matrix_8h.html#a72297a60e572f85929989e813388a9c5">matrix_flex_part_print</a>(m, n, A, a_row_begin, a_row_end, a_col_begin,</div>
+<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  a_col_end, 7, 4);</div>
+<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  printf(<span class="stringliteral">"part_B = "</span>);</div>
+<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  <a class="code" href="matrix_8h.html#a72297a60e572f85929989e813388a9c5">matrix_flex_part_print</a>(n, l, B, b_row_begin, b_row_end, b_col_begin,</div>
+<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  b_col_end, 7, 4);</div>
+<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  </div>
+<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  printf(<span class="stringliteral">"C = "</span>);</div>
+<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  <a class="code" href="matrix_8h.html#a82f374a9b8b215f0ef53d35401eae524">matrix_flex_print</a>(5, 3, C, 7, 4);</div>
+<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  </div>
+<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  puts(<span class="stringliteral">" *** Test The 2-norm of a Matrix, *** "</span>);</div>
+<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  </div>
+<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  <span class="keywordtype">double</span> two_norm = <a class="code" href="matrix_8h.html#aec03481d950677386122e3c8ba6a5cd0">matrix_get_two_norm</a>(m, n, A);</div>
+<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  printf(<span class="stringliteral">"A_two_norm = %7.4f\n"</span>, two_norm);</div>
+<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  </div>
+<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> D[7][5] = {</div>
+<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>  { -0.2743, -4.9913, 0.3375, -6.5684, -6.9048 },</div>
+<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>  { -4.9657, -2.0716, -4.7133, -2.7536, -4.3030 },</div>
+<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  { -0.4857, -3.2137, -0.9424, -0.7667, -5.7025 },</div>
+<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>  { -5.0518, -4.1867, -0.9702, 0.4721, -0.6457 },</div>
+<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>  { 0.4341, -0.3534, -3.9564, -5.9608, -4.5103 },</div>
+<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>  { -4.2001, -2.3179, -2.4574, -2.4494, -2.7717 },</div>
+<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>  { -5.4272, -2.6022, -6.3932, -3.2449, -5.6748 }</div>
+<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>  };</div>
+<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  m = 7;</div>
+<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>  n = 5;</div>
+<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  two_norm = <a class="code" href="matrix_8h.html#aec03481d950677386122e3c8ba6a5cd0">matrix_get_two_norm</a>(m, n, D);</div>
+<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  printf(<span class="stringliteral">"D_two_norm = %7.4f\n"</span>, two_norm);</div>
+<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  </div>
+<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  <span class="keywordtype">double</span> frob_norm = <a class="code" href="matrix_8h.html#aaf85a32b8562c91d2d1889819580375e">matrix_get_frob_norm</a>(m, n, D);</div>
+<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>  printf(<span class="stringliteral">"D_frob_norm = %7.4f\n"</span>, frob_norm);</div>
+<div class="line"><a name="l00162"></a><span class="lineno"> 162</span> }</div>
+<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>  </div>
+<div class="line"><a name="l00164"></a><span class="lineno"><a class="line" href="matrix__test_8c.html#a5713bd664a96ccd028896420050f22df"> 164</a></span> <span class="keywordtype">void</span> <a class="code" href="matrix__test_8c.html#a5713bd664a96ccd028896420050f22df">inv_triangular_matrices_test</a>(<span class="keywordtype">void</span>)</div>
+<div class="line"><a name="l00165"></a><span class="lineno"> 165</span> {</div>
+<div class="line"><a name="l00166"></a><span class="lineno"> 166</span>  </div>
+<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>  puts(</div>
+<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>  <span class="stringliteral">"*********** Test the Inverse of Upper Triangular Matrices ***********"</span>);</div>
+<div class="line"><a name="l00169"></a><span class="lineno"> 169</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> U[11][7] =</div>
+<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>  {</div>
+<div class="line"><a name="l00171"></a><span class="lineno"> 171</span>  { 0.8147, 0.9706, 0.8491, 0.0462, 0.1869, 0.4984, 0.5472 },</div>
+<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>  { 0.0000, 0.9572, 0.9340, 0.0971, 0.4898, 0.9597, 0.1386 },</div>
+<div class="line"><a name="l00173"></a><span class="lineno"> 173</span>  { 0.0000, 0.0000, 0.6787, 0.8235, 0.4456, 0.3404, 0.1493 },</div>
+<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>  { 0.0000, 0.0000, 0.0000, 0.6948, 0.6463, 0.5853, 0.2575 },</div>
+<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>  { 0.0000, 0.0000, 0.0000, 0.0000, 0.7094, 0.2238, 0.8407 },</div>
+<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>  { 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.7513, 0.2543 },</div>
+<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>  { 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.8143 },</div>
+<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>  { 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000 },</div>
+<div class="line"><a name="l00179"></a><span class="lineno"> 179</span>  { 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000 },</div>
+<div class="line"><a name="l00180"></a><span class="lineno"> 180</span>  { 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000 },</div>
+<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>  { 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000 }</div>
+<div class="line"><a name="l00182"></a><span class="lineno"> 182</span>  };</div>
+<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>  uint8_t m, n;</div>
+<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>  </div>
+<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>  puts(<span class="stringliteral">"Square Matrix:"</span>);</div>
+<div class="line"><a name="l00186"></a><span class="lineno"> 186</span>  m = 7;</div>
+<div class="line"><a name="l00187"></a><span class="lineno"> 187</span>  n = 7;</div>
+<div class="line"><a name="l00188"></a><span class="lineno"> 188</span>  printf(<span class="stringliteral">"U1 = "</span>);</div>
+<div class="line"><a name="l00189"></a><span class="lineno"> 189</span>  <a class="code" href="matrix_8h.html#a82f374a9b8b215f0ef53d35401eae524">matrix_flex_print</a>(m, n, U, 7, 4);</div>
+<div class="line"><a name="l00190"></a><span class="lineno"> 190</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> inv_U1[n][m];</div>
+<div class="line"><a name="l00191"></a><span class="lineno"> 191</span>  <a class="code" href="matrix_8h.html#ab166871472924745f70e2bb6e17498c8">matrix_get_inv_upp_triang</a>(m, n, U, inv_U1);</div>
+<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>  printf(<span class="stringliteral">"inv_U1 = "</span>);</div>
+<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>  <a class="code" href="matrix_8h.html#a82f374a9b8b215f0ef53d35401eae524">matrix_flex_print</a>(n, m, inv_U1, 7, 4);</div>
+<div class="line"><a name="l00194"></a><span class="lineno"> 194</span>  </div>
+<div class="line"><a name="l00195"></a><span class="lineno"> 195</span>  puts(<span class="stringliteral">"Rectangular Matrix:"</span>);</div>
+<div class="line"><a name="l00196"></a><span class="lineno"> 196</span>  m = 11;</div>
+<div class="line"><a name="l00197"></a><span class="lineno"> 197</span>  n = 7;</div>
+<div class="line"><a name="l00198"></a><span class="lineno"> 198</span>  printf(<span class="stringliteral">"U2 = "</span>);</div>
+<div class="line"><a name="l00199"></a><span class="lineno"> 199</span>  <a class="code" href="matrix_8h.html#a82f374a9b8b215f0ef53d35401eae524">matrix_flex_print</a>(m, n, U, 7, 4);</div>
+<div class="line"><a name="l00200"></a><span class="lineno"> 200</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> inv_U2[n][m];</div>
+<div class="line"><a name="l00201"></a><span class="lineno"> 201</span>  <a class="code" href="matrix_8h.html#ab166871472924745f70e2bb6e17498c8">matrix_get_inv_upp_triang</a>(m, n, U, inv_U2);</div>
+<div class="line"><a name="l00202"></a><span class="lineno"> 202</span>  printf(<span class="stringliteral">"inv_U2 = "</span>);</div>
+<div class="line"><a name="l00203"></a><span class="lineno"> 203</span>  <a class="code" href="matrix_8h.html#a82f374a9b8b215f0ef53d35401eae524">matrix_flex_print</a>(n, m, inv_U2, 7, 4);</div>
+<div class="line"><a name="l00204"></a><span class="lineno"> 204</span>  </div>
+<div class="line"><a name="l00205"></a><span class="lineno"> 205</span>  puts(</div>
+<div class="line"><a name="l00206"></a><span class="lineno"> 206</span>  <span class="stringliteral">"*********** Test the Inverse of Lower Triangular Matrices ***********"</span>);</div>
+<div class="line"><a name="l00207"></a><span class="lineno"> 207</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> L[11][7] =</div>
+<div class="line"><a name="l00208"></a><span class="lineno"> 208</span>  {</div>
+<div class="line"><a name="l00209"></a><span class="lineno"> 209</span>  { 0.8147, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000 },</div>
+<div class="line"><a name="l00210"></a><span class="lineno"> 210</span>  { 0.9058, 0.9572, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000 },</div>
+<div class="line"><a name="l00211"></a><span class="lineno"> 211</span>  { 0.1270, 0.4854, 0.6787, 0.0000, 0.0000, 0.0000, 0.0000 },</div>
+<div class="line"><a name="l00212"></a><span class="lineno"> 212</span>  { 0.9134, 0.8003, 0.7577, 0.6948, 0.0000, 0.0000, 0.0000 },</div>
+<div class="line"><a name="l00213"></a><span class="lineno"> 213</span>  { 0.6324, 0.1419, 0.7431, 0.3171, 0.7094, 0.0000, 0.0000 },</div>
+<div class="line"><a name="l00214"></a><span class="lineno"> 214</span>  { 0.0975, 0.4218, 0.3922, 0.9502, 0.7547, 0.7513, 0.0000 },</div>
+<div class="line"><a name="l00215"></a><span class="lineno"> 215</span>  { 0.2785, 0.9157, 0.6555, 0.0344, 0.2760, 0.2551, 0.8143 },</div>
+<div class="line"><a name="l00216"></a><span class="lineno"> 216</span>  { 0.5469, 0.7922, 0.1712, 0.4387, 0.6797, 0.5060, 0.2435 },</div>
+<div class="line"><a name="l00217"></a><span class="lineno"> 217</span>  { 0.9575, 0.9595, 0.7060, 0.3816, 0.6551, 0.6991, 0.9293 },</div>
+<div class="line"><a name="l00218"></a><span class="lineno"> 218</span>  { 0.9649, 0.6557, 0.0318, 0.7655, 0.1626, 0.8909, 0.3500 },</div>
+<div class="line"><a name="l00219"></a><span class="lineno"> 219</span>  { 0.1576, 0.0357, 0.2769, 0.7952, 0.1190, 0.9593, 0.1966 }</div>
+<div class="line"><a name="l00220"></a><span class="lineno"> 220</span>  };</div>
+<div class="line"><a name="l00221"></a><span class="lineno"> 221</span>  m = 7;</div>
+<div class="line"><a name="l00222"></a><span class="lineno"> 222</span>  n = 7;</div>
+<div class="line"><a name="l00223"></a><span class="lineno"> 223</span>  puts(<span class="stringliteral">"Square Matrix:"</span>);</div>
+<div class="line"><a name="l00224"></a><span class="lineno"> 224</span>  printf(<span class="stringliteral">"L1 = "</span>);</div>
+<div class="line"><a name="l00225"></a><span class="lineno"> 225</span>  <a class="code" href="matrix_8h.html#a82f374a9b8b215f0ef53d35401eae524">matrix_flex_print</a>(m, n, L, 7, 4);</div>
+<div class="line"><a name="l00226"></a><span class="lineno"> 226</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> inv_L1[n][m];</div>
+<div class="line"><a name="l00227"></a><span class="lineno"> 227</span>  <a class="code" href="matrix_8h.html#ae8e87640fa1a2d259ee4dc98c955cb48">matrix_get_inv_low_triang</a>(m, n, L, inv_L1);</div>
+<div class="line"><a name="l00228"></a><span class="lineno"> 228</span>  printf(<span class="stringliteral">"inv_L1 = "</span>);</div>
+<div class="line"><a name="l00229"></a><span class="lineno"> 229</span>  <a class="code" href="matrix_8h.html#a82f374a9b8b215f0ef53d35401eae524">matrix_flex_print</a>(n, m, inv_L1, 7, 4);</div>
+<div class="line"><a name="l00230"></a><span class="lineno"> 230</span>  </div>
+<div class="line"><a name="l00231"></a><span class="lineno"> 231</span>  puts(<span class="stringliteral">"Rectangular Matrix:"</span>);</div>
+<div class="line"><a name="l00232"></a><span class="lineno"> 232</span>  m = 11;</div>
+<div class="line"><a name="l00233"></a><span class="lineno"> 233</span>  n = 7;</div>
+<div class="line"><a name="l00234"></a><span class="lineno"> 234</span>  printf(<span class="stringliteral">"L2 = "</span>);</div>
+<div class="line"><a name="l00235"></a><span class="lineno"> 235</span>  <a class="code" href="matrix_8h.html#a82f374a9b8b215f0ef53d35401eae524">matrix_flex_print</a>(m, n, L, 7, 4);</div>
+<div class="line"><a name="l00236"></a><span class="lineno"> 236</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> inv_L2[n][m];</div>
+<div class="line"><a name="l00237"></a><span class="lineno"> 237</span>  <a class="code" href="matrix_8h.html#ae8e87640fa1a2d259ee4dc98c955cb48">matrix_get_inv_low_triang</a>(m, n, L, inv_L2);</div>
+<div class="line"><a name="l00238"></a><span class="lineno"> 238</span>  printf(<span class="stringliteral">"inv_L2 = "</span>);</div>
+<div class="line"><a name="l00239"></a><span class="lineno"> 239</span>  <a class="code" href="matrix_8h.html#a82f374a9b8b215f0ef53d35401eae524">matrix_flex_print</a>(n, m, inv_L2, 7, 4);</div>
+<div class="line"><a name="l00240"></a><span class="lineno"> 240</span> }</div>
+<div class="line"><a name="l00241"></a><span class="lineno"> 241</span>  </div>
+<div class="line"><a name="l00242"></a><span class="lineno"><a class="line" href="matrix__test_8c.html#af3bd1663337eb8dbe0fbcb49b517621f"> 242</a></span> <span class="keywordtype">void</span> <a class="code" href="matrix__test_8c.html#af3bd1663337eb8dbe0fbcb49b517621f">triangular_matrices_test</a>(<span class="keywordtype">void</span>)</div>
+<div class="line"><a name="l00243"></a><span class="lineno"> 243</span> {</div>
+<div class="line"><a name="l00244"></a><span class="lineno"> 244</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[10][5] = {</div>
+<div class="line"><a name="l00245"></a><span class="lineno"> 245</span>  { 0.8147, 0.1576, 0.6557, 0.7060, 0.4387 },</div>
+<div class="line"><a name="l00246"></a><span class="lineno"> 246</span>  { 0.9058, 0.9706, 0.0357, 0.0318, 0.3816 },</div>
+<div class="line"><a name="l00247"></a><span class="lineno"> 247</span>  { 0.1270, 0.9572, 0.8491, 0.2769, 0.7655 },</div>
+<div class="line"><a name="l00248"></a><span class="lineno"> 248</span>  { 0.9134, 0.4854, 0.9340, 0.0462, 0.7952 },</div>
+<div class="line"><a name="l00249"></a><span class="lineno"> 249</span>  { 0.6324, 0.8003, 0.6787, 0.0971, 0.1869 },</div>
+<div class="line"><a name="l00250"></a><span class="lineno"> 250</span>  { 0.0975, 0.1419, 0.7577, 0.8235, 0.4898 },</div>
+<div class="line"><a name="l00251"></a><span class="lineno"> 251</span>  { 0.2785, 0.4218, 0.7431, 0.6948, 0.4456 },</div>
+<div class="line"><a name="l00252"></a><span class="lineno"> 252</span>  { 0.5469, 0.9157, 0.3922, 0.3171, 0.6463 },</div>
+<div class="line"><a name="l00253"></a><span class="lineno"> 253</span>  { 0.9575, 0.7922, 0.6555, 0.9502, 0.7094 },</div>
+<div class="line"><a name="l00254"></a><span class="lineno"> 254</span>  { 0.9649, 0.9595, 0.1712, 0.0344, 0.7547 }</div>
+<div class="line"><a name="l00255"></a><span class="lineno"> 255</span>  };</div>
+<div class="line"><a name="l00256"></a><span class="lineno"> 256</span>  </div>
+<div class="line"><a name="l00257"></a><span class="lineno"> 257</span>  uint8_t m = 10, n = 5;</div>
+<div class="line"><a name="l00258"></a><span class="lineno"> 258</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> copy_A[m][n];</div>
+<div class="line"><a name="l00259"></a><span class="lineno"> 259</span>  </div>
+<div class="line"><a name="l00260"></a><span class="lineno"> 260</span>  <a class="code" href="matrix_8h.html#ae8d8daa117e9f96a5e29fe6c76c4998c">matrix_copy</a>(m, n, A, copy_A);</div>
+<div class="line"><a name="l00261"></a><span class="lineno"> 261</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> B[m][n];</div>
+<div class="line"><a name="l00262"></a><span class="lineno"> 262</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> C[n][m];</div>
+<div class="line"><a name="l00263"></a><span class="lineno"> 263</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> D[n][m];</div>
+<div class="line"><a name="l00264"></a><span class="lineno"> 264</span>  </div>
+<div class="line"><a name="l00265"></a><span class="lineno"> 265</span>  puts(<span class="stringliteral">"++++++++++ upper triangular ++++++++++"</span>);</div>
+<div class="line"><a name="l00266"></a><span class="lineno"> 266</span>  <a class="code" href="matrix_8h.html#ad7c9a682a3cc4ca33c030afa8798241a">matrix_transpose</a>(m, n, A, C);</div>
+<div class="line"><a name="l00267"></a><span class="lineno"> 267</span>  <a class="code" href="matrix_8h.html#abbaf8f39b2b7bb4bd2987f99674c1213">matrix_get_upp_triang</a>(m, n, A, B);</div>
+<div class="line"><a name="l00268"></a><span class="lineno"> 268</span>  <a class="code" href="matrix_8h.html#abbaf8f39b2b7bb4bd2987f99674c1213">matrix_get_upp_triang</a>(m, n, A, A);</div>
+<div class="line"><a name="l00269"></a><span class="lineno"> 269</span>  <a class="code" href="matrix_8h.html#abbaf8f39b2b7bb4bd2987f99674c1213">matrix_get_upp_triang</a>(n, m, C, D);</div>
+<div class="line"><a name="l00270"></a><span class="lineno"> 270</span>  </div>
+<div class="line"><a name="l00271"></a><span class="lineno"> 271</span>  printf(<span class="stringliteral">"A = "</span>);</div>
+<div class="line"><a name="l00272"></a><span class="lineno"> 272</span>  <a class="code" href="matrix_8h.html#a82f374a9b8b215f0ef53d35401eae524">matrix_flex_print</a>(m, n, A, 7, 4);</div>
+<div class="line"><a name="l00273"></a><span class="lineno"> 273</span>  printf(<span class="stringliteral">"B = "</span>);</div>
+<div class="line"><a name="l00274"></a><span class="lineno"> 274</span>  <a class="code" href="matrix_8h.html#a82f374a9b8b215f0ef53d35401eae524">matrix_flex_print</a>(m, n, B, 7, 4);</div>
+<div class="line"><a name="l00275"></a><span class="lineno"> 275</span>  printf(<span class="stringliteral">"C = "</span>);</div>
+<div class="line"><a name="l00276"></a><span class="lineno"> 276</span>  <a class="code" href="matrix_8h.html#a82f374a9b8b215f0ef53d35401eae524">matrix_flex_print</a>(n, m, C, 7, 4);</div>
+<div class="line"><a name="l00277"></a><span class="lineno"> 277</span>  printf(<span class="stringliteral">"D = "</span>);</div>
+<div class="line"><a name="l00278"></a><span class="lineno"> 278</span>  <a class="code" href="matrix_8h.html#a82f374a9b8b215f0ef53d35401eae524">matrix_flex_print</a>(n, m, D, 7, 4);</div>
+<div class="line"><a name="l00279"></a><span class="lineno"> 279</span>  </div>
+<div class="line"><a name="l00280"></a><span class="lineno"> 280</span>  puts(<span class="stringliteral">"++++++++++ lower triangular ++++++++++"</span>);</div>
+<div class="line"><a name="l00281"></a><span class="lineno"> 281</span>  <a class="code" href="matrix_8h.html#ae8d8daa117e9f96a5e29fe6c76c4998c">matrix_copy</a>(m, n, copy_A, A);</div>
+<div class="line"><a name="l00282"></a><span class="lineno"> 282</span>  printf(<span class="stringliteral">"A = "</span>);</div>
+<div class="line"><a name="l00283"></a><span class="lineno"> 283</span>  <a class="code" href="matrix_8h.html#a82f374a9b8b215f0ef53d35401eae524">matrix_flex_print</a>(m, n, A, 7, 4);</div>
+<div class="line"><a name="l00284"></a><span class="lineno"> 284</span>  <a class="code" href="matrix_8h.html#ad7c9a682a3cc4ca33c030afa8798241a">matrix_transpose</a>(m, n, A, C);</div>
+<div class="line"><a name="l00285"></a><span class="lineno"> 285</span>  <a class="code" href="matrix_8h.html#adfd93dda9be9b2e8df5805af7fee7845">matrix_get_low_triang</a>(m, n, A, B);</div>
+<div class="line"><a name="l00286"></a><span class="lineno"> 286</span>  <a class="code" href="matrix_8h.html#adfd93dda9be9b2e8df5805af7fee7845">matrix_get_low_triang</a>(m, n, A, A);</div>
+<div class="line"><a name="l00287"></a><span class="lineno"> 287</span>  <a class="code" href="matrix_8h.html#adfd93dda9be9b2e8df5805af7fee7845">matrix_get_low_triang</a>(n, m, C, D);</div>
+<div class="line"><a name="l00288"></a><span class="lineno"> 288</span>  </div>
+<div class="line"><a name="l00289"></a><span class="lineno"> 289</span>  printf(<span class="stringliteral">"A = "</span>);</div>
+<div class="line"><a name="l00290"></a><span class="lineno"> 290</span>  <a class="code" href="matrix_8h.html#a82f374a9b8b215f0ef53d35401eae524">matrix_flex_print</a>(m, n, A, 7, 4);</div>
+<div class="line"><a name="l00291"></a><span class="lineno"> 291</span>  printf(<span class="stringliteral">"B = "</span>);</div>
+<div class="line"><a name="l00292"></a><span class="lineno"> 292</span>  <a class="code" href="matrix_8h.html#a82f374a9b8b215f0ef53d35401eae524">matrix_flex_print</a>(m, n, B, 7, 4);</div>
+<div class="line"><a name="l00293"></a><span class="lineno"> 293</span>  printf(<span class="stringliteral">"C = "</span>);</div>
+<div class="line"><a name="l00294"></a><span class="lineno"> 294</span>  <a class="code" href="matrix_8h.html#a82f374a9b8b215f0ef53d35401eae524">matrix_flex_print</a>(n, m, C, 7, 4);</div>
+<div class="line"><a name="l00295"></a><span class="lineno"> 295</span>  printf(<span class="stringliteral">"D = "</span>);</div>
+<div class="line"><a name="l00296"></a><span class="lineno"> 296</span>  <a class="code" href="matrix_8h.html#a82f374a9b8b215f0ef53d35401eae524">matrix_flex_print</a>(n, m, D, 7, 4);</div>
+<div class="line"><a name="l00297"></a><span class="lineno"> 297</span>  </div>
+<div class="line"><a name="l00298"></a><span class="lineno"> 298</span> }</div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="amatrix_8h_html_a875d6c55a16ee9f8bf523b8c1c82bc6f"><div class="ttname"><a href="matrix_8h.html#a875d6c55a16ee9f8bf523b8c1c82bc6f">matrix_swap_rows</a></div><div class="ttdeci">void matrix_swap_rows(uint8_t n, matrix_t matrix[][n], uint8_t i, uint8_t j)</div><div class="ttdoc">Swaps two rows of a matrix.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00725">matrix.c:725</a></div></div>
+<div class="ttc" id="amatrix_8h_html_aed6fab1ffa40243eeb08117215082be3"><div class="ttname"><a href="matrix_8h.html#aed6fab1ffa40243eeb08117215082be3">matrix_sub</a></div><div class="ttdeci">void matrix_sub(uint8_t m, uint8_t n, matrix_t A[m][n], matrix_t B[m][n], matrix_t A_minus_B[m][n])</div><div class="ttdoc">Compute the subtraction of two matrices.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00329">matrix.c:329</a></div></div>
+<div class="ttc" id="amatrix_8h_html_a3763252ca00e4c8522ae1bfd5ef40f0a"><div class="ttname"><a href="matrix_8h.html#a3763252ca00e4c8522ae1bfd5ef40f0a">matrix_part_mul</a></div><div class="ttdeci">void matrix_part_mul(uint8_t a_col_num_max, matrix_t a_matrix[][a_col_num_max], uint8_t b_col_num_max, matrix_t b_matrix[][b_col_num_max], uint8_t a_start_row_ind, uint8_t a_end_row_ind, uint8_t a_start_col_ind, uint8_t a_end_col_ind, uint8_t b_start_row_ind, uint8_t b_end_row_ind, uint8_t b_start_col_ind, uint8_t b_end_col_ind, uint8_t dest_col_size, matrix_t dest_matrix[][dest_col_size])</div><div class="ttdoc">Compute the partial multiplication of two matrices.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00391">matrix.c:391</a></div></div>
+<div class="ttc" id="amatrix_8h_html_ad7c9a682a3cc4ca33c030afa8798241a"><div class="ttname"><a href="matrix_8h.html#ad7c9a682a3cc4ca33c030afa8798241a">matrix_transpose</a></div><div class="ttdeci">void matrix_transpose(uint8_t m, uint8_t n, matrix_t src_matrix[m][n], matrix_t dest_matrix[n][m])</div><div class="ttdoc">Computes the transpose of a matrix.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00056">matrix.c:56</a></div></div>
+<div class="ttc" id="amatrix_8h_html_ac7101bbaa3a2698658276a7e21501093"><div class="ttname"><a href="matrix_8h.html#ac7101bbaa3a2698658276a7e21501093">matrix_add</a></div><div class="ttdeci">void matrix_add(uint8_t m, uint8_t n, matrix_t A[m][n], matrix_t B[m][n], matrix_t A_plus_B[m][n])</div><div class="ttdoc">Compute the addition of two matrices.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00341">matrix.c:341</a></div></div>
+<div class="ttc" id="amatrix__test_8c_html_af3bd1663337eb8dbe0fbcb49b517621f"><div class="ttname"><a href="matrix__test_8c.html#af3bd1663337eb8dbe0fbcb49b517621f">triangular_matrices_test</a></div><div class="ttdeci">void triangular_matrices_test(void)</div><div class="ttdoc">Examples of triangular matrices.</div><div class="ttdef"><b>Definition:</b> <a href="matrix__test_8c_source.html#l00242">matrix_test.c:242</a></div></div>
+<div class="ttc" id="amatrix__test_8c_html_aad3d0f4acb79e8a9b61eda59dc3a12b2"><div class="ttname"><a href="matrix__test_8c.html#aad3d0f4acb79e8a9b61eda59dc3a12b2">matrix_test</a></div><div class="ttdeci">void matrix_test(void)</div><div class="ttdoc">Test some matrix operations.</div><div class="ttdef"><b>Definition:</b> <a href="matrix__test_8c_source.html#l00031">matrix_test.c:31</a></div></div>
+<div class="ttc" id="amatrix_8h_html_abbaf8f39b2b7bb4bd2987f99674c1213"><div class="ttname"><a href="matrix_8h.html#abbaf8f39b2b7bb4bd2987f99674c1213">matrix_get_upp_triang</a></div><div class="ttdeci">void matrix_get_upp_triang(uint8_t m, uint8_t n, matrix_t A[][n], matrix_t tr_up_A[][n])</div><div class="ttdoc">Gets the upper triangular part of a matrix.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00841">matrix.c:841</a></div></div>
+<div class="ttc" id="amatrix__test_8c_html_a5713bd664a96ccd028896420050f22df"><div class="ttname"><a href="matrix__test_8c.html#a5713bd664a96ccd028896420050f22df">inv_triangular_matrices_test</a></div><div class="ttdeci">void inv_triangular_matrices_test(void)</div><div class="ttdoc">Examples of the inverse of triangular matrices.</div><div class="ttdef"><b>Definition:</b> <a href="matrix__test_8c_source.html#l00164">matrix_test.c:164</a></div></div>
+<div class="ttc" id="amatrix_8h_html"><div class="ttname"><a href="matrix_8h.html">matrix.h</a></div><div class="ttdoc">Matrix computations.</div></div>
+<div class="ttc" id="amatrix_8h_html_a18e47742f1653dcc4491badfe2537a0a"><div class="ttname"><a href="matrix_8h.html#a18e47742f1653dcc4491badfe2537a0a">matrix_get_diag_mat</a></div><div class="ttdeci">void matrix_get_diag_mat(uint8_t m, uint8_t n, matrix_t value, matrix_t diag_matrix[m][n])</div><div class="ttdoc">Create a diagonal matrix with a specified value.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00594">matrix.c:594</a></div></div>
+<div class="ttc" id="amatrix_8h_html_a82f374a9b8b215f0ef53d35401eae524"><div class="ttname"><a href="matrix_8h.html#a82f374a9b8b215f0ef53d35401eae524">matrix_flex_print</a></div><div class="ttdeci">void matrix_flex_print(uint8_t m, uint8_t n, matrix_t matrix[m][n], uint8_t before_dec, uint8_t after_dec)</div><div class="ttdoc">Display the values of the matrix elements.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00220">matrix.c:220</a></div></div>
+<div class="ttc" id="autils_8h_html"><div class="ttname"><a href="utils_8h.html">utils.h</a></div><div class="ttdoc">Utilities for linear algebra.</div></div>
+<div class="ttc" id="amatrix_8h_html_adfd93dda9be9b2e8df5805af7fee7845"><div class="ttname"><a href="matrix_8h.html#adfd93dda9be9b2e8df5805af7fee7845">matrix_get_low_triang</a></div><div class="ttdeci">void matrix_get_low_triang(uint8_t m, uint8_t n, matrix_t A[][n], matrix_t tr_low_A[][n])</div><div class="ttdoc">Gets the lower triangular part of a matrix.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00868">matrix.c:868</a></div></div>
+<div class="ttc" id="amatrix_8h_html_ae71449b1cc6e6250b91f539153a7a0d3"><div class="ttname"><a href="matrix_8h.html#ae71449b1cc6e6250b91f539153a7a0d3">M_PI</a></div><div class="ttdeci">#define M_PI</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8h_source.html#l00054">matrix.h:54</a></div></div>
+<div class="ttc" id="amatrix_8h_html_a72297a60e572f85929989e813388a9c5"><div class="ttname"><a href="matrix_8h.html#a72297a60e572f85929989e813388a9c5">matrix_flex_part_print</a></div><div class="ttdeci">void matrix_flex_part_print(uint8_t m, uint8_t n, matrix_t matrix[m][n], uint8_t start_row_ind, uint8_t end_row_ind, uint8_t start_col_ind, uint8_t end_col_ind, uint8_t before_dot, uint8_t after_dot)</div><div class="ttdoc">Display the values of the sub-matrix elements.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00247">matrix.c:247</a></div></div>
+<div class="ttc" id="amatrix_8h_html_ae8e87640fa1a2d259ee4dc98c955cb48"><div class="ttname"><a href="matrix_8h.html#ae8e87640fa1a2d259ee4dc98c955cb48">matrix_get_inv_low_triang</a></div><div class="ttdeci">void matrix_get_inv_low_triang(uint8_t m, uint8_t n, matrix_t L[][n], matrix_t inv_L[][m])</div><div class="ttdoc">Computes the inverse a lower triangular matrix.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00817">matrix.c:817</a></div></div>
+<div class="ttc" id="amatrix_8h_html_aec03481d950677386122e3c8ba6a5cd0"><div class="ttname"><a href="matrix_8h.html#aec03481d950677386122e3c8ba6a5cd0">matrix_get_two_norm</a></div><div class="ttdeci">double matrix_get_two_norm(uint8_t m, uint8_t n, matrix_t A[][n])</div><div class="ttdoc">Get the 2-norm of a matrix that is equal to the largest singular value.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00752">matrix.c:752</a></div></div>
+<div class="ttc" id="amatrix_8h_html_ae8d8daa117e9f96a5e29fe6c76c4998c"><div class="ttname"><a href="matrix_8h.html#ae8d8daa117e9f96a5e29fe6c76c4998c">matrix_copy</a></div><div class="ttdeci">void matrix_copy(uint8_t m, uint8_t n, matrix_t src_matrix[m][n], matrix_t dest_matrix[m][n])</div><div class="ttdoc">Copy the elements of a matrix to another matrix.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00083">matrix.c:83</a></div></div>
+<div class="ttc" id="amatrix_8h_html_ab166871472924745f70e2bb6e17498c8"><div class="ttname"><a href="matrix_8h.html#ab166871472924745f70e2bb6e17498c8">matrix_get_inv_upp_triang</a></div><div class="ttdeci">void matrix_get_inv_upp_triang(uint8_t m, uint8_t n, matrix_t U[][n], matrix_t inv_U[][m])</div><div class="ttdoc">Computes the inverse an upper triangular matrix.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00795">matrix.c:795</a></div></div>
+<div class="ttc" id="amatrix_8h_html_af38ac6b76d645fea9abd6caeb4d9dd31"><div class="ttname"><a href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a></div><div class="ttdeci">#define matrix_t</div><div class="ttdoc">Define the data type of the matrix elements.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8h_source.html#l00038">matrix.h:38</a></div></div>
+<div class="ttc" id="amatrix_8h_html_aaf85a32b8562c91d2d1889819580375e"><div class="ttname"><a href="matrix_8h.html#aaf85a32b8562c91d2d1889819580375e">matrix_get_frob_norm</a></div><div class="ttdeci">double matrix_get_frob_norm(uint8_t m, uint8_t n, matrix_t A[][n])</div><div class="ttdoc">Get the Frobenius norm of a matrix.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00782">matrix.c:782</a></div></div>
+<div class="ttc" id="amatrix_8h_html_a550aa0d5a3212e35ad0af134895fd20a"><div class="ttname"><a href="matrix_8h.html#a550aa0d5a3212e35ad0af134895fd20a">matrix_mul</a></div><div class="ttdeci">void matrix_mul(uint8_t a_line_num, uint8_t a_col_num, matrix_t a_matrix[a_line_num][a_col_num], uint8_t b_line_num, uint8_t b_col_num, matrix_t b_matrix[b_line_num][b_col_num], matrix_t dest_matrix[a_line_num][b_col_num])</div><div class="ttdoc">Compute the multiplication of two matrices.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00363">matrix.c:363</a></div></div>
+<div class="ttc" id="amatrix_8h_html_ae808f007791f060590d39c7668501988"><div class="ttname"><a href="matrix_8h.html#ae808f007791f060590d39c7668501988">matrix_get_diag_mat_new</a></div><div class="ttdeci">void matrix_get_diag_mat_new(uint8_t m, uint8_t n, matrix_t diag_matrix[m][n], uint8_t length, matrix_t vec[])</div><div class="ttdoc">Set all the diagonal elements of a matrix with values that are saved in a vector.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00581">matrix.c:581</a></div></div>
+<!-- start footer part -->
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+ <li class="navelem"><a class="el" href="dir_d28a4824dc47e487b107a5db32ef43c4.html">examples</a></li><li class="navelem"><a class="el" href="dir_bb878afedbb83074fe4b7f6b65e06747.html">linear_algebra</a></li><li class="navelem"><a class="el" href="dir_d1d208ee40a2f911c6ff49bd490e63cd.html">basic_operations</a></li><li class="navelem"><a class="el" href="matrix__test_8c.html">matrix_test.c</a></li>
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+<a href="#func-members">Functions</a> </div>
+ <div class="headertitle">
+<div class="title">matrix_test.h File Reference<div class="ingroups"><a class="el" href="group__examples.html">EXAMPLES</a></div></div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Examples of matrix computations.
+<a href="#details">More...</a></p>
+
+<p><a href="matrix__test_8h_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:aad3d0f4acb79e8a9b61eda59dc3a12b2"><td class="memItemLeft" align="right" valign="top"><a id="aad3d0f4acb79e8a9b61eda59dc3a12b2"></a>
+void </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix__test_8h.html#aad3d0f4acb79e8a9b61eda59dc3a12b2">matrix_test</a> (void)</td></tr>
+<tr class="memdesc:aad3d0f4acb79e8a9b61eda59dc3a12b2"><td class="mdescLeft"> </td><td class="mdescRight">Test some matrix operations. <br /></td></tr>
+<tr class="separator:aad3d0f4acb79e8a9b61eda59dc3a12b2"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a5713bd664a96ccd028896420050f22df"><td class="memItemLeft" align="right" valign="top"><a id="a5713bd664a96ccd028896420050f22df"></a>
+void </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix__test_8h.html#a5713bd664a96ccd028896420050f22df">inv_triangular_matrices_test</a> (void)</td></tr>
+<tr class="memdesc:a5713bd664a96ccd028896420050f22df"><td class="mdescLeft"> </td><td class="mdescRight">Examples of the inverse of triangular matrices. <br /></td></tr>
+<tr class="separator:a5713bd664a96ccd028896420050f22df"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:af3bd1663337eb8dbe0fbcb49b517621f"><td class="memItemLeft" align="right" valign="top"><a id="af3bd1663337eb8dbe0fbcb49b517621f"></a>
+void </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix__test_8h.html#af3bd1663337eb8dbe0fbcb49b517621f">triangular_matrices_test</a> (void)</td></tr>
+<tr class="memdesc:af3bd1663337eb8dbe0fbcb49b517621f"><td class="mdescLeft"> </td><td class="mdescRight">Examples of triangular matrices. <br /></td></tr>
+<tr class="separator:af3bd1663337eb8dbe0fbcb49b517621f"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Examples of matrix computations. </p>
+<p>Matrix computation examples (see <a class="el" href="matrix_8h.html">matrix</a> functions).</p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd></dl>
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+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
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+<div class="title">matrix_test.h</div> </div>
+</div><!--header-->
+<div class="contents">
+<a href="matrix__test_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="preprocessor">#ifndef MATRIX_TEST_H_</span></div>
+<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#define MATRIX_TEST_H_</span></div>
+<div class="line"><a name="l00026"></a><span class="lineno"> 26</span>  </div>
+<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="keywordtype">void</span> <a class="code" href="matrix__test_8h.html#aad3d0f4acb79e8a9b61eda59dc3a12b2">matrix_test</a>(<span class="keywordtype">void</span>);</div>
+<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>  </div>
+<div class="line"><a name="l00037"></a><span class="lineno"> 37</span> <span class="keywordtype">void</span> <a class="code" href="matrix__test_8h.html#a5713bd664a96ccd028896420050f22df">inv_triangular_matrices_test</a>(<span class="keywordtype">void</span>);</div>
+<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  </div>
+<div class="line"><a name="l00043"></a><span class="lineno"> 43</span> <span class="keywordtype">void</span> <a class="code" href="matrix__test_8h.html#af3bd1663337eb8dbe0fbcb49b517621f">triangular_matrices_test</a>(<span class="keywordtype">void</span>);</div>
+<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  </div>
+<div class="line"><a name="l00045"></a><span class="lineno"> 45</span> <span class="preprocessor">#endif </span><span class="comment">/* MATRIX_TEST_H_ */</span><span class="preprocessor"></span></div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="amatrix__test_8h_html_af3bd1663337eb8dbe0fbcb49b517621f"><div class="ttname"><a href="matrix__test_8h.html#af3bd1663337eb8dbe0fbcb49b517621f">triangular_matrices_test</a></div><div class="ttdeci">void triangular_matrices_test(void)</div><div class="ttdoc">Examples of triangular matrices.</div><div class="ttdef"><b>Definition:</b> <a href="matrix__test_8c_source.html#l00242">matrix_test.c:242</a></div></div>
+<div class="ttc" id="amatrix__test_8h_html_a5713bd664a96ccd028896420050f22df"><div class="ttname"><a href="matrix__test_8h.html#a5713bd664a96ccd028896420050f22df">inv_triangular_matrices_test</a></div><div class="ttdeci">void inv_triangular_matrices_test(void)</div><div class="ttdoc">Examples of the inverse of triangular matrices.</div><div class="ttdef"><b>Definition:</b> <a href="matrix__test_8c_source.html#l00164">matrix_test.c:164</a></div></div>
+<div class="ttc" id="amatrix__test_8h_html_aad3d0f4acb79e8a9b61eda59dc3a12b2"><div class="ttname"><a href="matrix__test_8h.html#aad3d0f4acb79e8a9b61eda59dc3a12b2">matrix_test</a></div><div class="ttdeci">void matrix_test(void)</div><div class="ttdoc">Test some matrix operations.</div><div class="ttdef"><b>Definition:</b> <a href="matrix__test_8c_source.html#l00031">matrix_test.c:31</a></div></div>
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+<a href="#func-members">Functions</a> </div>
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+<div class="title">modified_gauss_newton.c File Reference</div> </div>
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+<div class="contents">
+
+<p>Implement the Gauss–Newton algorithm.
+<a href="#details">More...</a></p>
+<div class="textblock"><code>#include <stdio.h></code><br />
+<code>#include <math.h></code><br />
+<code>#include "<a class="el" href="utils_8h_source.html">utils.h</a>"</code><br />
+<code>#include "<a class="el" href="matrix_8h_source.html">matrix.h</a>"</code><br />
+<code>#include "<a class="el" href="vector_8h_source.html">vector.h</a>"</code><br />
+<code>#include "<a class="el" href="moore__penrose__pseudo__inverse_8h_source.html">moore_penrose_pseudo_inverse.h</a>"</code><br />
+</div>
+<p><a href="modified__gauss__newton_8c_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a7376799043ad2c27fac02371624051bc"><td class="memItemLeft" align="right" valign="top">uint8_t </td><td class="memItemRight" valign="bottom"><a class="el" href="modified__gauss__newton_8c.html#a7376799043ad2c27fac02371624051bc">modified_gauss_newton</a> (uint8_t f_length, uint8_t n, <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x0_vec[n], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> data_vec[f_length], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> eps, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> fmin, uint8_t max_iter_num, <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> est_x_vec[n], void(*get_f_error)(<a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x0_vec[], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> data_vec[], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> f_vec[]), void(*get_jacobian)(<a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x0_vec[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J[][n]))</td></tr>
+<tr class="memdesc:a7376799043ad2c27fac02371624051bc"><td class="mdescLeft"> </td><td class="mdescRight">Implements the modified Gauss–Newton algorithm. <a href="modified__gauss__newton_8c.html#a7376799043ad2c27fac02371624051bc">More...</a><br /></td></tr>
+<tr class="separator:a7376799043ad2c27fac02371624051bc"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Implement the Gauss–Newton algorithm. </p>
+<dl class="section note"><dt>Note</dt><dd>This function is generally implemented.</dd></dl>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd>
+<dd>
+Abdelmoumen Norrdine <a href="#" onclick="location.href='mai'+'lto:'+'a.n'+'or'+'rdi'+'ne'+'@go'+'og'+'lem'+'ai'+'l.c'+'om'; return false;">a.nor<span style="display: none;">.nosp@m.</span>rdin<span style="display: none;">.nosp@m.</span>e@goo<span style="display: none;">.nosp@m.</span>glem<span style="display: none;">.nosp@m.</span>ail.c<span style="display: none;">.nosp@m.</span>om</a> </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="modified__gauss__newton_8c_source.html">modified_gauss_newton.c</a>.</p>
+</div><h2 class="groupheader">Function Documentation</h2>
+<a id="a7376799043ad2c27fac02371624051bc"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a7376799043ad2c27fac02371624051bc">◆ </a></span>modified_gauss_newton()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">uint8_t modified_gauss_newton </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>f_length</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>x0_vec</em>[n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>data_vec</em>[f_length], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>eps</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>fmin</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>max_iter_num</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>est_x_vec</em>[n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">void(*)(<a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x0_vec[], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> data_vec[], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> f_vec[]) </td>
+ <td class="paramname"><em>get_f_error</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">void(*)(<a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x0_vec[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J[][n]) </td>
+ <td class="paramname"><em>get_jacobian</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Implements the modified Gauss–Newton algorithm. </p>
+<p>The user should provide pointers to the error and Jacobian functions. </p><dl class="section note"><dt>Note</dt><dd>This function is generally implemented.</dd></dl>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">f_length</td><td>length of the error functions vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>length of the start vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">x0_vec[]</td><td>start vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">data_vec[]</td><td>data vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">eps</td><td>accuracy bound. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">fmin</td><td>termination tolerance on the error function. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">max_iter_num</td><td>maximal iteration number of the Gauss–Newton algorithm. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">est_x_vec[]</td><td>estimated (optimized) vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">(*get_f_error)</td><td>pointer to the error function. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">(*get_jacobian)</td><td>pointer to the Jacobian matrix.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>required iteration number. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="modified__gauss__newton_8c_source.html#l00032">32</a> of file <a class="el" href="modified__gauss__newton_8c_source.html">modified_gauss_newton.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8c_source.html#l00434">matrix_mul_vec()</a>, <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>, <a class="el" href="matrix_8c_source.html#l00545">matrix_trans_mul_itself()</a>, <a class="el" href="matrix_8c_source.html#l00511">matrix_trans_mul_vec()</a>, <a class="el" href="moore__penrose__pseudo__inverse_8c_source.html#l00038">moore_penrose_get_pinv()</a>, <a class="el" href="utils_8c_source.html#l00055">utils_max()</a>, <a class="el" href="vector_8c_source.html#l00037">vector_copy()</a>, <a class="el" href="vector_8c_source.html#l00163">vector_get_euclidean_distance()</a>, <a class="el" href="vector_8c_source.html#l00042">vector_get_norm2()</a>, <a class="el" href="vector_8c_source.html#l00094">vector_sub()</a>, and <a class="el" href="vector_8h_source.html#l00033">vector_t</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="optimization__test_8c_source.html#l00264">optimization_exponential_data_test()</a>, <a class="el" href="optimization__test_8c_source.html#l00376">optimization_sinusoidal_data_test()</a>, and <a class="el" href="optimization__test_8c_source.html#l00101">optimization_test()</a>.</p>
+
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+</div><!--header-->
+<div class="contents">
+<a href="modified__gauss__newton_8c.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="preprocessor">#include <stdio.h></span></div>
+<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="preprocessor">#include <math.h></span></div>
+<div class="line"><a name="l00025"></a><span class="lineno"> 25</span>  </div>
+<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="preprocessor">#include "<a class="code" href="utils_8h.html">utils.h</a>"</span></div>
+<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="preprocessor">#include "<a class="code" href="matrix_8h.html">matrix.h</a>"</span></div>
+<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="preprocessor">#include "<a class="code" href="vector_8h.html">vector.h</a>"</span></div>
+<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="preprocessor">#include "<a class="code" href="moore__penrose__pseudo__inverse_8h.html">moore_penrose_pseudo_inverse.h</a>"</span></div>
+<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>  </div>
+<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="comment">//n is the size of x0 that is equal to the column number of J</span></div>
+<div class="line"><a name="l00032"></a><span class="lineno"><a class="line" href="modified__gauss__newton_8c.html#a7376799043ad2c27fac02371624051bc"> 32</a></span> uint8_t <a class="code" href="modified__gauss__newton_8c.html#a7376799043ad2c27fac02371624051bc">modified_gauss_newton</a>(uint8_t f_length, uint8_t n,</div>
+<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x0_vec[n],</div>
+<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> data_vec[f_length],</div>
+<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> eps, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> fmin, uint8_t max_iter_num,</div>
+<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> est_x_vec[n],</div>
+<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  <span class="keywordtype">void</span> (*get_f_error)(<a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x0_vec[],</div>
+<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> data_vec[],</div>
+<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> f_vec[]),</div>
+<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>  <span class="keywordtype">void</span> (*get_jacobian)(<a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x0_vec[],</div>
+<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J[][n])</div>
+<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  )</div>
+<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  </div>
+<div class="line"><a name="l00044"></a><span class="lineno"> 44</span> {</div>
+<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J[f_length][n];</div>
+<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> JT_J[n][n];</div>
+<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> JT_f[n];</div>
+<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> f_vec[f_length];</div>
+<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> f_error;</div>
+<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> pinv_JTJ_mat[n][n];</div>
+<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> correction_vec[n];</div>
+<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_vec[n];</div>
+<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> next_x_vec[n];</div>
+<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> max_error, min_error;</div>
+<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> step;</div>
+<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  uint8_t iter_num;</div>
+<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  </div>
+<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  get_f_error(x0_vec, data_vec, f_vec);</div>
+<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  f_error = <a class="code" href="vector_8h.html#a4cfc452fdff3e32a601ccff140cd9ae6">vector_get_norm2</a>(f_length, f_vec);</div>
+<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  max_error = f_error;</div>
+<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  min_error = max_error;</div>
+<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  step = eps;</div>
+<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  </div>
+<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  <a class="code" href="vector_8h.html#ae9d3378f23ba835c727245b434b8a7f6">vector_copy</a>(n, x0_vec, x_vec);</div>
+<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  <a class="code" href="vector_8h.html#ae9d3378f23ba835c727245b434b8a7f6">vector_copy</a>(n, x0_vec, est_x_vec);</div>
+<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  iter_num = 0;</div>
+<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  </div>
+<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  <span class="keywordflow">while</span> ((step >= eps) && (iter_num < max_iter_num) && (f_error > fmin)) {</div>
+<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  <span class="comment">/*</span></div>
+<div class="line"><a name="l00070"></a><span class="lineno"> 70</span> <span class="comment"> * Compute then correction terms & next x_vec values</span></div>
+<div class="line"><a name="l00071"></a><span class="lineno"> 71</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  <span class="comment">//JT_J = J'*J</span></div>
+<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  get_jacobian(x_vec, J);</div>
+<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  <a class="code" href="matrix_8h.html#a0107887a6c40980fa639750be8262f01">matrix_trans_mul_itself</a>(f_length, n, J, JT_J);</div>
+<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  </div>
+<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  <span class="comment">//JT_f = J'*f</span></div>
+<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  get_f_error(x_vec, data_vec, f_vec);</div>
+<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  <a class="code" href="matrix_8h.html#a53b0a1829b2085414fb66a9e9bd6c7b7">matrix_trans_mul_vec</a>(f_length, n, J, f_length, f_vec, JT_f);</div>
+<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  </div>
+<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  <span class="comment">//solve: J'J*s = -J'*f</span></div>
+<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  <a class="code" href="moore__penrose__pseudo__inverse_8h.html#a0ddd46446f074a0d38c04157686f5fce">moore_penrose_get_pinv</a>(n, n, JT_J, pinv_JTJ_mat);</div>
+<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  <span class="comment">//s = (J'J)\J'*f</span></div>
+<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  <a class="code" href="matrix_8h.html#ad610bcce232c69ca302550f57b1ad9fb">matrix_mul_vec</a>(n, n, pinv_JTJ_mat, JT_f, correction_vec);</div>
+<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  </div>
+<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  <span class="comment">// x = x - s</span></div>
+<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  <a class="code" href="vector_8h.html#a3bbd999b10064c2ede2bd427aa040b63">vector_sub</a>(n, x_vec, correction_vec, next_x_vec);</div>
+<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  </div>
+<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  <span class="comment">//next step</span></div>
+<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  step = <a class="code" href="vector_8h.html#abbb6bf046e47a8634c15c43a508cacb9">vector_get_euclidean_distance</a>(n, x_vec, next_x_vec);</div>
+<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  </div>
+<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  <span class="comment">// x_vec = next_x_vec</span></div>
+<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  <a class="code" href="vector_8h.html#ae9d3378f23ba835c727245b434b8a7f6">vector_copy</a>(n, next_x_vec, x_vec);</div>
+<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  </div>
+<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  <span class="comment">//error vector</span></div>
+<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  get_f_error(x_vec, data_vec, f_vec);</div>
+<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  </div>
+<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  f_error = <a class="code" href="vector_8h.html#a4cfc452fdff3e32a601ccff140cd9ae6">vector_get_norm2</a>(f_length, f_vec);</div>
+<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  </div>
+<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  <span class="keywordflow">if</span> (min_error > f_error) { <span class="comment">//store the x_vec value with the minimum error in est_x_vec</span></div>
+<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  <a class="code" href="vector_8h.html#ae9d3378f23ba835c727245b434b8a7f6">vector_copy</a>(n, x_vec, est_x_vec);</div>
+<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  min_error = f_error; <span class="comment">// update min_error</span></div>
+<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  }</div>
+<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  </div>
+<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  max_error = <a class="code" href="utils_8h.html#a0ae8ea233ea6c519cd0434f8c5bde5e5">utils_max</a>(f_error, max_error); <span class="comment">// update max_error</span></div>
+<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  iter_num++;</div>
+<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  <span class="keywordflow">if</span> ((max_error - min_error) > 10) {</div>
+<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  <span class="keywordflow">break</span>;</div>
+<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  }</div>
+<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  </div>
+<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  } <span class="comment">//while</span></div>
+<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  </div>
+<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  <span class="keywordflow">return</span> iter_num;</div>
+<div class="line"><a name="l00113"></a><span class="lineno"> 113</span> }</div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="amoore__penrose__pseudo__inverse_8h_html_a0ddd46446f074a0d38c04157686f5fce"><div class="ttname"><a href="moore__penrose__pseudo__inverse_8h.html#a0ddd46446f074a0d38c04157686f5fce">moore_penrose_get_pinv</a></div><div class="ttdeci">int8_t moore_penrose_get_pinv(uint8_t m, uint8_t n, matrix_t A[m][n], matrix_t pinv_A[n][m])</div><div class="ttdoc">Calculate the Moore–Penrose inverse of a rectangular matrix.</div><div class="ttdef"><b>Definition:</b> <a href="moore__penrose__pseudo__inverse_8c_source.html#l00038">moore_penrose_pseudo_inverse.c:38</a></div></div>
+<div class="ttc" id="avector_8h_html_a4cfc452fdff3e32a601ccff140cd9ae6"><div class="ttname"><a href="vector_8h.html#a4cfc452fdff3e32a601ccff140cd9ae6">vector_get_norm2</a></div><div class="ttdeci">vector_t vector_get_norm2(uint8_t length, vector_t arr[])</div><div class="ttdoc">Compute the 2-norm norm of a vector.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00042">vector.c:42</a></div></div>
+<div class="ttc" id="amatrix_8h_html_ad610bcce232c69ca302550f57b1ad9fb"><div class="ttname"><a href="matrix_8h.html#ad610bcce232c69ca302550f57b1ad9fb">matrix_mul_vec</a></div><div class="ttdeci">void matrix_mul_vec(uint8_t m, uint8_t n, matrix_t matrix[m][n], matrix_t vec[n], matrix_t dst_arr[m])</div><div class="ttdoc">Compute the multiplication of a matrix with a column vector.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00434">matrix.c:434</a></div></div>
+<div class="ttc" id="avector_8h_html_abbb6bf046e47a8634c15c43a508cacb9"><div class="ttname"><a href="vector_8h.html#abbb6bf046e47a8634c15c43a508cacb9">vector_get_euclidean_distance</a></div><div class="ttdeci">vector_t vector_get_euclidean_distance(uint8_t length, vector_t vec1[], vector_t vec2[])</div><div class="ttdoc">Compute the Euclidean distance between two vectors.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00163">vector.c:163</a></div></div>
+<div class="ttc" id="avector_8h_html_acb41430bc5720dda7d1c45d91a0b0221"><div class="ttname"><a href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a></div><div class="ttdeci">#define vector_t</div><div class="ttdoc">Define the data type of the vector elements.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8h_source.html#l00033">vector.h:33</a></div></div>
+<div class="ttc" id="amatrix_8h_html_a0107887a6c40980fa639750be8262f01"><div class="ttname"><a href="matrix_8h.html#a0107887a6c40980fa639750be8262f01">matrix_trans_mul_itself</a></div><div class="ttdeci">void matrix_trans_mul_itself(uint8_t m, uint8_t n, matrix_t A[m][n], matrix_t AT_mul_A[n][n])</div><div class="ttdoc">Compute the multiplication of the transpose of a matrix with itself.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00545">matrix.c:545</a></div></div>
+<div class="ttc" id="amatrix_8h_html_a53b0a1829b2085414fb66a9e9bd6c7b7"><div class="ttname"><a href="matrix_8h.html#a53b0a1829b2085414fb66a9e9bd6c7b7">matrix_trans_mul_vec</a></div><div class="ttdeci">void matrix_trans_mul_vec(uint8_t m, uint8_t n, matrix_t A[m][n], uint8_t b_size, matrix_t b_vec[m], matrix_t c_vec[n])</div><div class="ttdoc">Compute the multiplication of transposed matrix with column vector.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00511">matrix.c:511</a></div></div>
+<div class="ttc" id="amatrix_8h_html"><div class="ttname"><a href="matrix_8h.html">matrix.h</a></div><div class="ttdoc">Matrix computations.</div></div>
+<div class="ttc" id="amoore__penrose__pseudo__inverse_8h_html"><div class="ttname"><a href="moore__penrose__pseudo__inverse_8h.html">moore_penrose_pseudo_inverse.h</a></div><div class="ttdoc">Moore–Penrose algorithm to compute the pseudo-inverse of a matrix.</div></div>
+<div class="ttc" id="autils_8h_html"><div class="ttname"><a href="utils_8h.html">utils.h</a></div><div class="ttdoc">Utilities for linear algebra.</div></div>
+<div class="ttc" id="autils_8h_html_a0ae8ea233ea6c519cd0434f8c5bde5e5"><div class="ttname"><a href="utils_8h.html#a0ae8ea233ea6c519cd0434f8c5bde5e5">utils_max</a></div><div class="ttdeci">double utils_max(double a, double b)</div><div class="ttdoc">Returns the greater of two real numbers.</div><div class="ttdef"><b>Definition:</b> <a href="utils_8c_source.html#l00055">utils.c:55</a></div></div>
+<div class="ttc" id="avector_8h_html_ae9d3378f23ba835c727245b434b8a7f6"><div class="ttname"><a href="vector_8h.html#ae9d3378f23ba835c727245b434b8a7f6">vector_copy</a></div><div class="ttdeci">void vector_copy(uint8_t size, vector_t src_arr[], vector_t dest_arr[])</div><div class="ttdoc">Copy the elements of the source vector to the destination vector.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00037">vector.c:37</a></div></div>
+<div class="ttc" id="amodified__gauss__newton_8c_html_a7376799043ad2c27fac02371624051bc"><div class="ttname"><a href="modified__gauss__newton_8c.html#a7376799043ad2c27fac02371624051bc">modified_gauss_newton</a></div><div class="ttdeci">uint8_t modified_gauss_newton(uint8_t f_length, uint8_t n, vector_t x0_vec[n], vector_t data_vec[f_length], matrix_t eps, matrix_t fmin, uint8_t max_iter_num, vector_t est_x_vec[n], void(*get_f_error)(vector_t x0_vec[], vector_t data_vec[], vector_t f_vec[]), void(*get_jacobian)(vector_t x0_vec[], matrix_t J[][n]))</div><div class="ttdoc">Implements the modified Gauss–Newton algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="modified__gauss__newton_8c_source.html#l00032">modified_gauss_newton.c:32</a></div></div>
+<div class="ttc" id="amatrix_8h_html_af38ac6b76d645fea9abd6caeb4d9dd31"><div class="ttname"><a href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a></div><div class="ttdeci">#define matrix_t</div><div class="ttdoc">Define the data type of the matrix elements.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8h_source.html#l00038">matrix.h:38</a></div></div>
+<div class="ttc" id="avector_8h_html"><div class="ttname"><a href="vector_8h.html">vector.h</a></div><div class="ttdoc">Vector computations.</div></div>
+<div class="ttc" id="avector_8h_html_a3bbd999b10064c2ede2bd427aa040b63"><div class="ttname"><a href="vector_8h.html#a3bbd999b10064c2ede2bd427aa040b63">vector_sub</a></div><div class="ttdeci">void vector_sub(uint8_t size, vector_t a_vec[], vector_t b_vec[], vector_t a_minus_b[])</div><div class="ttdoc">Compute the subtraction of two vectors.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00094">vector.c:94</a></div></div>
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+ <div class="summary">
+<a href="#func-members">Functions</a> </div>
+ <div class="headertitle">
+<div class="title">modified_gauss_newton.h File Reference<div class="ingroups"><a class="el" href="group__non__linear__algebra.html">NON_LINEAR_ALGEBRA</a> » <a class="el" href="group__optimization.html">OPTIMIZATION</a></div></div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Implement the Gauss–Newton algorithm.
+<a href="#details">More...</a></p>
+<div class="textblock"><code>#include <inttypes.h></code><br />
+<code>#include "<a class="el" href="matrix_8h_source.html">matrix.h</a>"</code><br />
+<code>#include "<a class="el" href="vector_8h_source.html">vector.h</a>"</code><br />
+</div>
+<p><a href="modified__gauss__newton_8h_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a7376799043ad2c27fac02371624051bc"><td class="memItemLeft" align="right" valign="top">uint8_t </td><td class="memItemRight" valign="bottom"><a class="el" href="modified__gauss__newton_8h.html#a7376799043ad2c27fac02371624051bc">modified_gauss_newton</a> (uint8_t f_length, uint8_t n, <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x0_vec[n], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> data_vec[f_length], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> eps, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> fmin, uint8_t max_iter_num, <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> est_x_vec[n], void(*get_f_error)(<a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x0_vec[], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> data_vec[], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> f_vec[]), void(*get_jacobian)(<a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x0_vec[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J[][n]))</td></tr>
+<tr class="memdesc:a7376799043ad2c27fac02371624051bc"><td class="mdescLeft"> </td><td class="mdescRight">Implements the modified Gauss–Newton algorithm. <a href="modified__gauss__newton_8h.html#a7376799043ad2c27fac02371624051bc">More...</a><br /></td></tr>
+<tr class="separator:a7376799043ad2c27fac02371624051bc"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Implement the Gauss–Newton algorithm. </p>
+<dl class="section note"><dt>Note</dt><dd>This function is generally implemented.</dd></dl>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd>
+<dd>
+Abdelmoumen Norrdine <a href="#" onclick="location.href='mai'+'lto:'+'a.n'+'or'+'rdi'+'ne'+'@go'+'og'+'lem'+'ai'+'l.c'+'om'; return false;">a.nor<span style="display: none;">.nosp@m.</span>rdin<span style="display: none;">.nosp@m.</span>e@goo<span style="display: none;">.nosp@m.</span>glem<span style="display: none;">.nosp@m.</span>ail.c<span style="display: none;">.nosp@m.</span>om</a> </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="modified__gauss__newton_8h_source.html">modified_gauss_newton.h</a>.</p>
+</div><h2 class="groupheader">Function Documentation</h2>
+<a id="a7376799043ad2c27fac02371624051bc"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a7376799043ad2c27fac02371624051bc">◆ </a></span>modified_gauss_newton()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">uint8_t modified_gauss_newton </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>f_length</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>x0_vec</em>[n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>data_vec</em>[f_length], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>eps</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>fmin</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>max_iter_num</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>est_x_vec</em>[n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">void(*)(<a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x0_vec[], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> data_vec[], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> f_vec[]) </td>
+ <td class="paramname"><em>get_f_error</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">void(*)(<a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x0_vec[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J[][n]) </td>
+ <td class="paramname"><em>get_jacobian</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Implements the modified Gauss–Newton algorithm. </p>
+<p>The user should provide pointers to the error and Jacobian functions. </p><dl class="section note"><dt>Note</dt><dd>This function is generally implemented.</dd></dl>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">f_length</td><td>length of the error functions vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>length of the start vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">x0_vec[]</td><td>start vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">data_vec[]</td><td>data vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">eps</td><td>accuracy bound. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">fmin</td><td>termination tolerance on the error function. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">max_iter_num</td><td>maximal iteration number of the Gauss–Newton algorithm. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">est_x_vec[]</td><td>estimated (optimized) vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">(*get_f_error)</td><td>pointer to the error function. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">(*get_jacobian)</td><td>pointer to the Jacobian matrix.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>required iteration number. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="modified__gauss__newton_8c_source.html#l00032">32</a> of file <a class="el" href="modified__gauss__newton_8c_source.html">modified_gauss_newton.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8c_source.html#l00434">matrix_mul_vec()</a>, <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>, <a class="el" href="matrix_8c_source.html#l00545">matrix_trans_mul_itself()</a>, <a class="el" href="matrix_8c_source.html#l00511">matrix_trans_mul_vec()</a>, <a class="el" href="moore__penrose__pseudo__inverse_8c_source.html#l00038">moore_penrose_get_pinv()</a>, <a class="el" href="utils_8c_source.html#l00055">utils_max()</a>, <a class="el" href="vector_8c_source.html#l00037">vector_copy()</a>, <a class="el" href="vector_8c_source.html#l00163">vector_get_euclidean_distance()</a>, <a class="el" href="vector_8c_source.html#l00042">vector_get_norm2()</a>, <a class="el" href="vector_8c_source.html#l00094">vector_sub()</a>, and <a class="el" href="vector_8h_source.html#l00033">vector_t</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="optimization__test_8c_source.html#l00264">optimization_exponential_data_test()</a>, <a class="el" href="optimization__test_8c_source.html#l00376">optimization_sinusoidal_data_test()</a>, and <a class="el" href="optimization__test_8c_source.html#l00101">optimization_test()</a>.</p>
+
+</div>
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+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="navelem"><a class="el" href="dir_943f05c9b1835bace55f73b49add4eb5.html">non_linear_algebra</a></li><li class="navelem"><a class="el" href="dir_a849c678c2f9059c847e621780a4cff4.html">optimization</a></li><li class="navelem"><a class="el" href="dir_c50cc60bf0f01dd8b56a0a31510e7489.html">include</a></li><li class="navelem"><a class="el" href="modified__gauss__newton_8h.html">modified_gauss_newton.h</a></li>
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+<div class="title">modified_gauss_newton.h</div> </div>
+</div><!--header-->
+<div class="contents">
+<a href="modified__gauss__newton_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="preprocessor">#ifndef MODIFIED_GAUSS_NEWTON_H_</span></div>
+<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#define MODIFIED_GAUSS_NEWTON_H_</span></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="preprocessor">#include <inttypes.h></span></div>
+<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>  </div>
+<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="preprocessor">#include "<a class="code" href="matrix_8h.html">matrix.h</a>"</span></div>
+<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="preprocessor">#include "<a class="code" href="vector_8h.html">vector.h</a>"</span></div>
+<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  </div>
+<div class="line"><a name="l00051"></a><span class="lineno"> 51</span> uint8_t <a class="code" href="modified__gauss__newton_8h.html#a7376799043ad2c27fac02371624051bc">modified_gauss_newton</a>(uint8_t f_length, uint8_t n,</div>
+<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x0_vec[n],</div>
+<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> data_vec[f_length],</div>
+<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> eps, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> fmin, uint8_t max_iter_num,</div>
+<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> est_x_vec[n],</div>
+<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  <span class="keywordtype">void</span> (*get_f_error)(<a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x0_vec[],</div>
+<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> data_vec[],</div>
+<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> f_vec[]),</div>
+<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  <span class="keywordtype">void</span> (*get_jacobian)(<a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x0_vec[],</div>
+<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J[][n])</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>  </div>
+<div class="line"><a name="l00063"></a><span class="lineno"> 63</span> <span class="preprocessor">#endif </span><span class="comment">/* MODIFIED_GAUSS_NEWTON_H_ */</span><span class="preprocessor"></span></div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="amodified__gauss__newton_8h_html_a7376799043ad2c27fac02371624051bc"><div class="ttname"><a href="modified__gauss__newton_8h.html#a7376799043ad2c27fac02371624051bc">modified_gauss_newton</a></div><div class="ttdeci">uint8_t modified_gauss_newton(uint8_t f_length, uint8_t n, vector_t x0_vec[n], vector_t data_vec[f_length], matrix_t eps, matrix_t fmin, uint8_t max_iter_num, vector_t est_x_vec[n], void(*get_f_error)(vector_t x0_vec[], vector_t data_vec[], vector_t f_vec[]), void(*get_jacobian)(vector_t x0_vec[], matrix_t J[][n]))</div><div class="ttdoc">Implements the modified Gauss–Newton algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="modified__gauss__newton_8c_source.html#l00032">modified_gauss_newton.c:32</a></div></div>
+<div class="ttc" id="avector_8h_html_acb41430bc5720dda7d1c45d91a0b0221"><div class="ttname"><a href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a></div><div class="ttdeci">#define vector_t</div><div class="ttdoc">Define the data type of the vector elements.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8h_source.html#l00033">vector.h:33</a></div></div>
+<div class="ttc" id="amatrix_8h_html"><div class="ttname"><a href="matrix_8h.html">matrix.h</a></div><div class="ttdoc">Matrix computations.</div></div>
+<div class="ttc" id="amatrix_8h_html_af38ac6b76d645fea9abd6caeb4d9dd31"><div class="ttname"><a href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a></div><div class="ttdeci">#define matrix_t</div><div class="ttdoc">Define the data type of the matrix elements.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8h_source.html#l00038">matrix.h:38</a></div></div>
+<div class="ttc" id="avector_8h_html"><div class="ttname"><a href="vector_8h.html">vector.h</a></div><div class="ttdoc">Vector computations.</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_943f05c9b1835bace55f73b49add4eb5.html">non_linear_algebra</a></li><li class="navelem"><a class="el" href="dir_a849c678c2f9059c847e621780a4cff4.html">optimization</a></li><li class="navelem"><a class="el" href="dir_c50cc60bf0f01dd8b56a0a31510e7489.html">include</a></li><li class="navelem"><a class="el" href="modified__gauss__newton_8h.html">modified_gauss_newton.h</a></li>
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+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+ <td id="projectalign" style="padding-left: 0.5em;">
+ <div id="projectname">RcdMathLib_doc
+ </div>
+ <div id="projectbrief">Open Source Library for Linear and Non-linear Algebra</div>
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+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.16 -->
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+ class="ui-resizable-handle">
+ </div>
+</div>
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+/* @license-end */
+</script>
+<div id="doc-content">
+<!-- window showing the filter options -->
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+<div class="header">
+ <div class="headertitle">
+<div class="title">Modules</div> </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock">Here is a list of all modules:</div><div class="directory">
+<div class="levels">[detail level <span onclick="javascript:toggleLevel(1);">1</span><span onclick="javascript:toggleLevel(2);">2</span><span onclick="javascript:toggleLevel(3);">3</span>]</div><table class="directory">
+<tr id="row_0_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </span><a class="el" href="group__examples.html" target="_self">EXAMPLES</a></td><td class="desc">Examples of the RcdMathLib </td></tr>
+<tr id="row_1_"><td class="entry"><span style="width:0px;display:inline-block;"> </span><span id="arr_1_" class="arrow" onclick="toggleFolder('1_')">▼</span><a class="el" href="group__linear__algebra.html" target="_self">LINEAR_ALGEBRA</a></td><td class="desc">Linear algebra operations </td></tr>
+<tr id="row_1_0_" class="even"><td class="entry"><span style="width:32px;display:inline-block;"> </span><a class="el" href="group__basic__operations.html" target="_self">BASIC_OPERATIONS</a></td><td class="desc">Matrix basic operations </td></tr>
+<tr id="row_1_1_"><td class="entry"><span style="width:32px;display:inline-block;"> </span><a class="el" href="group__matrix__decompositions.html" target="_self">MATRIX_DECOMPOSITIONS</a></td><td class="desc">Matrix decomposition algorithms </td></tr>
+<tr id="row_1_2_" class="even"><td class="entry"><span style="width:32px;display:inline-block;"> </span><a class="el" href="group__pseudo__inverse.html" target="_self">PSEUDO_INVERSE</a></td><td class="desc">Algorithms to calculate the pseudo-inverse of a matrix </td></tr>
+<tr id="row_1_3_"><td class="entry"><span style="width:32px;display:inline-block;"> </span><a class="el" href="group__solve__linear__equations.html" target="_self">SOLVE_LINEAR_EQUATIONS</a></td><td class="desc">Enables to solve systems of linear equations Ax = b for x </td></tr>
+<tr id="row_1_4_" class="even"><td class="entry"><span style="width:32px;display:inline-block;"> </span><a class="el" href="group__utilities.html" target="_self">UTILITIES</a></td><td class="desc">Utilities for linear algebra </td></tr>
+<tr id="row_2_"><td class="entry"><span style="width:0px;display:inline-block;"> </span><span id="arr_2_" class="arrow" onclick="toggleFolder('2_')">▼</span><a class="el" href="group__localization.html" target="_self">LOCALIZATION</a></td><td class="desc">Localization and optimization algorithms of distance- and magnetic-based localization systems </td></tr>
+<tr id="row_2_0_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </span><span id="arr_2_0_" class="arrow" onclick="toggleFolder('2_0_')">▼</span><a class="el" href="group__position__algos.html" target="_self">POSITION_ALGOS</a></td><td class="desc">Localization algorithms of distance- and magnetic-based localization systems </td></tr>
+<tr id="row_2_0_0_"><td class="entry"><span style="width:48px;display:inline-block;"> </span><a class="el" href="group__distance__based.html" target="_self">DISTANCE_BASED</a></td><td class="desc">Localization algorithms of distance-based localization systems </td></tr>
+<tr id="row_2_0_1_" class="even"><td class="entry"><span style="width:48px;display:inline-block;"> </span><a class="el" href="group__magnetic__based.html" target="_self">MAGNETIC_BASED</a></td><td class="desc">Localization algorithms of magnetic-based localization systems </td></tr>
+<tr id="row_2_0_2_"><td class="entry"><span style="width:48px;display:inline-block;"> </span><a class="el" href="group__pos__algos__common.html" target="_self">POS_ALGOS_COMMON</a></td><td class="desc">Common algorithms of localization systems </td></tr>
+<tr id="row_2_1_" class="even"><td class="entry"><span style="width:32px;display:inline-block;"> </span><a class="el" href="group__position__optimization.html" target="_self">POSITION_OPTIMIZATION</a></td><td class="desc">Position optimization of distance- and magnetic-based localization systems </td></tr>
+<tr id="row_3_"><td class="entry"><span style="width:0px;display:inline-block;"> </span><span id="arr_3_" class="arrow" onclick="toggleFolder('3_')">▼</span><a class="el" href="group__non__linear__algebra.html" target="_self">NON_LINEAR_ALGEBRA</a></td><td class="desc">Non-linear algebra operations </td></tr>
+<tr id="row_3_0_" class="even"><td class="entry"><span style="width:32px;display:inline-block;"> </span><a class="el" href="group__optimization.html" target="_self">OPTIMIZATION</a></td><td class="desc">Solving problems of regression smoothing and curve fitting </td></tr>
+<tr id="row_3_1_"><td class="entry"><span style="width:32px;display:inline-block;"> </span><a class="el" href="group__solve__non__linear__equations.html" target="_self">SOLVE_NON_LINEAR_EQUATIONS</a></td><td class="desc">Enables to solve multi-variant nonlinear equation systems </td></tr>
+</table>
+</div><!-- directory -->
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="footer">Generated by
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+ <div id="projectname">RcdMathLib_doc
+ </div>
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+ name="MSearchResults" id="MSearchResults">
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+
+<div class="header">
+ <div class="summary">
+<a href="#func-members">Functions</a> </div>
+ <div class="headertitle">
+<div class="title">moore_penrose_pinv_test.c File Reference</div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Examples of the Moore–Penrose algorithm.
+<a href="#details">More...</a></p>
+<div class="textblock"><code>#include <stdio.h></code><br />
+<code>#include <inttypes.h></code><br />
+<code>#include "<a class="el" href="moore__penrose__pseudo__inverse_8h_source.html">moore_penrose_pseudo_inverse.h</a>"</code><br />
+<code>#include "<a class="el" href="matrix_8h_source.html">matrix.h</a>"</code><br />
+</div>
+<p><a href="moore__penrose__pinv__test_8c_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a71ea6881aeb228d371528527d1974014"><td class="memItemLeft" align="right" valign="top"><a id="a71ea6881aeb228d371528527d1974014"></a>
+void </td><td class="memItemRight" valign="bottom"><a class="el" href="moore__penrose__pinv__test_8c.html#a71ea6881aeb228d371528527d1974014">moore_penrose_pinv_test</a> (void)</td></tr>
+<tr class="memdesc:a71ea6881aeb228d371528527d1974014"><td class="mdescLeft"> </td><td class="mdescRight">Examples of the Moore–Penrose algorithm. <br /></td></tr>
+<tr class="separator:a71ea6881aeb228d371528527d1974014"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Examples of the Moore–Penrose algorithm. </p>
+<p>Moore–Penrose algorithm examples (see the <a class="el" href="moore__penrose__pseudo__inverse_8h.html">Moore--Penrose</a> approach).</p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="moore__penrose__pinv__test_8c_source.html">moore_penrose_pinv_test.c</a>.</p>
+</div></div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="navelem"><a class="el" href="dir_d28a4824dc47e487b107a5db32ef43c4.html">examples</a></li><li class="navelem"><a class="el" href="dir_bb878afedbb83074fe4b7f6b65e06747.html">linear_algebra</a></li><li class="navelem"><a class="el" href="dir_1513adee4b8f281871e1ff2ded4af7fe.html">pseudo_inverse</a></li><li class="navelem"><a class="el" href="moore__penrose__pinv__test_8c.html">moore_penrose_pinv_test.c</a></li>
+ <li class="footer">Generated by
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+<div class="title">moore_penrose_pinv_test.c</div> </div>
+</div><!--header-->
+<div class="contents">
+<a href="moore__penrose__pinv__test_8c.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="preprocessor">#include <stdio.h></span></div>
+<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#include <inttypes.h></span></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="preprocessor">#include "<a class="code" href="moore__penrose__pseudo__inverse_8h.html">moore_penrose_pseudo_inverse.h</a>"</span></div>
+<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="preprocessor">#include "<a class="code" href="matrix_8h.html">matrix.h</a>"</span></div>
+<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>  </div>
+<div class="line"><a name="l00030"></a><span class="lineno"><a class="line" href="moore__penrose__pinv__test_8c.html#a71ea6881aeb228d371528527d1974014"> 30</a></span> <span class="keywordtype">void</span> <a class="code" href="moore__penrose__pinv__test_8c.html#a71ea6881aeb228d371528527d1974014">moore_penrose_pinv_test</a>(<span class="keywordtype">void</span>)</div>
+<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> {</div>
+<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>  puts(<span class="stringliteral">"\n\n++++++++++++++++++++++++++++++ Moore-Penrose Pseudo-Inverse ++++++++++++++++++++++++++++++\n"</span>);</div>
+<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>  uint8_t m, n;</div>
+<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  uint8_t i = 0;</div>
+<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  </div>
+<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  <span class="comment">//m<n</span></div>
+<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix1_arr[3][4] = { { 1.0000, -3.6000, -1.2000, -2.8400 },</div>
+<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  { 1.0000, -7.2400, -7.1800, -2.2400 },</div>
+<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>  { 1.0000, -12.0600, -1.3400, -3.6600 } };</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>  m = 3;</div>
+<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  n = 4;</div>
+<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  <a class="code" href="moore__penrose__pseudo__inverse_8h.html#ada5b18da23c06c1a6f2449bbfe97a7c9">moore_penrose_pinv_compute_print</a>(m, n, matrix1_arr, ++i);</div>
+<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix2_arr[3][4] = {</div>
+<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  { 1, -22, 30, -20 },</div>
+<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  { 1, -26, -42, -10 },</div>
+<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  { 1, 18, -30, -14 }</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="moore__penrose__pseudo__inverse_8h.html#ada5b18da23c06c1a6f2449bbfe97a7c9">moore_penrose_pinv_compute_print</a>(m, n, matrix2_arr, ++i);</div>
+<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  </div>
+<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  printf(</div>
+<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  <span class="stringliteral">"########### Test %d: m < n : (2,3) ###########\n"</span>,</div>
+<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  ++i);</div>
+<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix3_arr[2][3] = {</div>
+<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  { 3, 1, 1 },</div>
+<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  { -1, 3, 1 }</div>
+<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  };</div>
+<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  m = 2;</div>
+<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  n = 3;</div>
+<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  <a class="code" href="moore__penrose__pseudo__inverse_8h.html#ada5b18da23c06c1a6f2449bbfe97a7c9">moore_penrose_pinv_compute_print</a>(m, n, matrix3_arr, i);</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>  printf(</div>
+<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  <span class="stringliteral">"########### Test %d: m > n : (3,2) ###########\n"</span>,</div>
+<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  ++i);</div>
+<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix4_arr[3][2] = {</div>
+<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  { 1, 2 },</div>
+<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  { 2, 2 },</div>
+<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  { 2, 1 }</div>
+<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  };</div>
+<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  m = 3;</div>
+<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  n = 2;</div>
+<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  <a class="code" href="moore__penrose__pseudo__inverse_8h.html#ada5b18da23c06c1a6f2449bbfe97a7c9">moore_penrose_pinv_compute_print</a>(m, n, matrix4_arr, i);</div>
+<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  </div>
+<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  printf(</div>
+<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  <span class="stringliteral">"########### Test %d: m = n : (4,4) ###########\n"</span>,</div>
+<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  ++i);</div>
+<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  </div>
+<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix5_arr[4][4] = {</div>
+<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  { 6, 0, 0, 6 },</div>
+<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  { 2, 5, 0, 4 },</div>
+<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  { 0, 6, 2, 3 },</div>
+<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  { 0, 1, 5, 5 }</div>
+<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  };</div>
+<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  m = 4;</div>
+<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  n = 4;</div>
+<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  <a class="code" href="moore__penrose__pseudo__inverse_8h.html#ada5b18da23c06c1a6f2449bbfe97a7c9">moore_penrose_pinv_compute_print</a>(m, n, matrix5_arr, i);</div>
+<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  </div>
+<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  printf(</div>
+<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  <span class="stringliteral">"########### Test %d: m < n : (4,7) ###########\n"</span>,</div>
+<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  ++i);</div>
+<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix6_arr[4][7] = {</div>
+<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  { 2, 5, 4, 6, 3, 2, 1 },</div>
+<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  { 1, 2, 4, 6, 0, 0, 6 },</div>
+<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  { 2, 1, 1, 5, 4, 6, 3 },</div>
+<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  { 3, 3, 1, 0, 4, 5, 0 }</div>
+<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  };</div>
+<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  m = 4;</div>
+<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  n = 7;</div>
+<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  <a class="code" href="moore__penrose__pseudo__inverse_8h.html#ada5b18da23c06c1a6f2449bbfe97a7c9">moore_penrose_pinv_compute_print</a>(m, n, matrix6_arr, i);</div>
+<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  </div>
+<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  printf(</div>
+<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  <span class="stringliteral">"########### Test %d: m = n (3, 3) ###########\n"</span>,</div>
+<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  ++i);</div>
+<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix7_arr[3][3] = {</div>
+<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  { 1., 2., 3 },</div>
+<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  { 4., 5., 6. },</div>
+<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  { 7., 8., 10. }</div>
+<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  };</div>
+<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  m = 3;</div>
+<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  n = 3;</div>
+<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  <a class="code" href="moore__penrose__pseudo__inverse_8h.html#ada5b18da23c06c1a6f2449bbfe97a7c9">moore_penrose_pinv_compute_print</a>(m, n, matrix7_arr, i);</div>
+<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  </div>
+<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  printf(</div>
+<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  <span class="stringliteral">"########### Test %d: m < n (5, 7) ###########\n"</span>,</div>
+<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  ++i);</div>
+<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix8_arr[5][7] = {</div>
+<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  { 6, 2, 7, 3, 6, 0, 1 },</div>
+<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  { 7, 1, 6, 3, 6, 4, 0 },</div>
+<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  { 3, 5, 1, 1, 0, 2, 3 },</div>
+<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  { 5, 5, 7, 3, 1, 3, 0 },</div>
+<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  { 6, 5, 4, 1, 2, 7, 1 }</div>
+<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  };</div>
+<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  m = 5;</div>
+<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  n = 7;</div>
+<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  <a class="code" href="moore__penrose__pseudo__inverse_8h.html#ada5b18da23c06c1a6f2449bbfe97a7c9">moore_penrose_pinv_compute_print</a>(m, n, matrix8_arr, i);</div>
+<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  </div>
+<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  <span class="comment">//m>n</span></div>
+<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  printf(</div>
+<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  <span class="stringliteral">"########### Test %d: m > n (7, 5) ###########\n"</span>,</div>
+<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  ++i);</div>
+<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix9_arr[7][5] = {</div>
+<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  { 6.395, 2.897, 7.333, 3.777, 6.543 },</div>
+<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  { 7.635, 1.235, 6.301, 3.356, 6.777 },</div>
+<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  { 3.595, 5.901, 1.408, 1.697, 0.539 },</div>
+<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  { 5.501, 5.562, 7.271, 3.907, 1.651 },</div>
+<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  { 6.198, 5.069, 4.238, 1.388, 2.855 },</div>
+<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  { 0.000, 1.999, 4.103, 0.561, 2.908 },</div>
+<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  { 3.834, 3.172, 0.009, 7.069, 1.075 }</div>
+<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  };</div>
+<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  </div>
+<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  m = 7;</div>
+<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  n = 5;</div>
+<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  <a class="code" href="moore__penrose__pseudo__inverse_8h.html#ada5b18da23c06c1a6f2449bbfe97a7c9">moore_penrose_pinv_compute_print</a>(m, n, matrix9_arr, i);</div>
+<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  </div>
+<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  printf(</div>
+<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  <span class="stringliteral">"########### Test %d: m > n (5, 7) ###########\n"</span>,</div>
+<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>  ++i);</div>
+<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix10_arr[5][7] = {</div>
+<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  { 6.395, 2.897, 7.333, 3.777, 6.543, 0.000, 1.999 },</div>
+<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>  { 7.635, 1.235, 6.301, 3.356, 6.777, 4.103, 0.561 },</div>
+<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>  { 3.595, 5.901, 1.408, 1.697, 0.539, 2.908, 3.834 },</div>
+<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>  { 5.501, 5.562, 7.271, 3.907, 1.651, 3.172, 0.009 },</div>
+<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>  { 6.198, 5.069, 4.238, 1.388, 2.855, 7.069, 1.075 }</div>
+<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>  };</div>
+<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  m = 5;</div>
+<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>  n = 7;</div>
+<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  <a class="code" href="moore__penrose__pseudo__inverse_8h.html#ada5b18da23c06c1a6f2449bbfe97a7c9">moore_penrose_pinv_compute_print</a>(m, n, matrix10_arr, i);</div>
+<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  </div>
+<div class="line"><a name="l00159"></a><span class="lineno"> 159</span> }</div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="amoore__penrose__pseudo__inverse_8h_html_ada5b18da23c06c1a6f2449bbfe97a7c9"><div class="ttname"><a href="moore__penrose__pseudo__inverse_8h.html#ada5b18da23c06c1a6f2449bbfe97a7c9">moore_penrose_pinv_compute_print</a></div><div class="ttdeci">void moore_penrose_pinv_compute_print(uint8_t m, uint8_t n, matrix_t matrix[m][n], uint8_t i)</div><div class="ttdoc">Compute and print the Moore–Penrose inverse of a matrix.</div><div class="ttdef"><b>Definition:</b> <a href="moore__penrose__pseudo__inverse_8c_source.html#l00167">moore_penrose_pseudo_inverse.c:167</a></div></div>
+<div class="ttc" id="amatrix_8h_html"><div class="ttname"><a href="matrix_8h.html">matrix.h</a></div><div class="ttdoc">Matrix computations.</div></div>
+<div class="ttc" id="amoore__penrose__pseudo__inverse_8h_html"><div class="ttname"><a href="moore__penrose__pseudo__inverse_8h.html">moore_penrose_pseudo_inverse.h</a></div><div class="ttdoc">Moore–Penrose algorithm to compute the pseudo-inverse of a matrix.</div></div>
+<div class="ttc" id="amatrix_8h_html_af38ac6b76d645fea9abd6caeb4d9dd31"><div class="ttname"><a href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a></div><div class="ttdeci">#define matrix_t</div><div class="ttdoc">Define the data type of the matrix elements.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8h_source.html#l00038">matrix.h:38</a></div></div>
+<div class="ttc" id="amoore__penrose__pinv__test_8c_html_a71ea6881aeb228d371528527d1974014"><div class="ttname"><a href="moore__penrose__pinv__test_8c.html#a71ea6881aeb228d371528527d1974014">moore_penrose_pinv_test</a></div><div class="ttdeci">void moore_penrose_pinv_test(void)</div><div class="ttdoc">Examples of the Moore–Penrose algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="moore__penrose__pinv__test_8c_source.html#l00030">moore_penrose_pinv_test.c:30</a></div></div>
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+<div class="header">
+ <div class="summary">
+<a href="#func-members">Functions</a> </div>
+ <div class="headertitle">
+<div class="title">moore_penrose_pinv_test.h File Reference<div class="ingroups"><a class="el" href="group__examples.html">EXAMPLES</a></div></div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Examples of the Moore–Penrose algorithm.
+<a href="#details">More...</a></p>
+
+<p><a href="moore__penrose__pinv__test_8h_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a71ea6881aeb228d371528527d1974014"><td class="memItemLeft" align="right" valign="top"><a id="a71ea6881aeb228d371528527d1974014"></a>
+void </td><td class="memItemRight" valign="bottom"><a class="el" href="moore__penrose__pinv__test_8h.html#a71ea6881aeb228d371528527d1974014">moore_penrose_pinv_test</a> (void)</td></tr>
+<tr class="memdesc:a71ea6881aeb228d371528527d1974014"><td class="mdescLeft"> </td><td class="mdescRight">Examples of the Moore–Penrose algorithm. <br /></td></tr>
+<tr class="separator:a71ea6881aeb228d371528527d1974014"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Examples of the Moore–Penrose algorithm. </p>
+<p>Moore–Penrose algorithm examples (see the <a class="el" href="moore__penrose__pseudo__inverse_8h.html">Moore--Penrose</a> approach).</p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="moore__penrose__pinv__test_8h_source.html">moore_penrose_pinv_test.h</a>.</p>
+</div></div><!-- contents -->
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+<div class="title">moore_penrose_pinv_test.h</div> </div>
+</div><!--header-->
+<div class="contents">
+<a href="moore__penrose__pinv__test_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#ifndef MOORE_PENROSE_PINV_TEST_H_</span></div>
+<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="preprocessor">#define MOORE_PENROSE_PINV_TEST_H_</span></div>
+<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>  </div>
+<div class="line"><a name="l00032"></a><span class="lineno"> 32</span> <span class="keywordtype">void</span> <a class="code" href="moore__penrose__pinv__test_8h.html#a71ea6881aeb228d371528527d1974014">moore_penrose_pinv_test</a>(<span class="keywordtype">void</span>);</div>
+<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>  </div>
+<div class="line"><a name="l00034"></a><span class="lineno"> 34</span> <span class="preprocessor">#endif </span><span class="comment">/* MOORE_PENROSE_PINV_TEST_H_ */</span><span class="preprocessor"></span></div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="amoore__penrose__pinv__test_8h_html_a71ea6881aeb228d371528527d1974014"><div class="ttname"><a href="moore__penrose__pinv__test_8h.html#a71ea6881aeb228d371528527d1974014">moore_penrose_pinv_test</a></div><div class="ttdeci">void moore_penrose_pinv_test(void)</div><div class="ttdoc">Examples of the Moore–Penrose algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="moore__penrose__pinv__test_8c_source.html#l00030">moore_penrose_pinv_test.c:30</a></div></div>
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+<a href="#func-members">Functions</a> </div>
+ <div class="headertitle">
+<div class="title">moore_penrose_pseudo_inverse.c File Reference</div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Moore–Penrose algorithm to compute the pseudo-inverse of a rectangular matrix.
+<a href="#details">More...</a></p>
+<div class="textblock"><code>#include <stdbool.h></code><br />
+<code>#include <stdio.h></code><br />
+<code>#include "<a class="el" href="moore__penrose__pseudo__inverse_8h_source.html">moore_penrose_pseudo_inverse.h</a>"</code><br />
+<code>#include "<a class="el" href="matrix_8h_source.html">matrix.h</a>"</code><br />
+<code>#include "<a class="el" href="svd_8h_source.html">svd.h</a>"</code><br />
+</div>
+<p><a href="moore__penrose__pseudo__inverse_8c_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a0ddd46446f074a0d38c04157686f5fce"><td class="memItemLeft" align="right" valign="top">int8_t </td><td class="memItemRight" valign="bottom"><a class="el" href="moore__penrose__pseudo__inverse_8c.html#a0ddd46446f074a0d38c04157686f5fce">moore_penrose_get_pinv</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[m][n], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> pinv_A[n][m])</td></tr>
+<tr class="memdesc:a0ddd46446f074a0d38c04157686f5fce"><td class="mdescLeft"> </td><td class="mdescRight">Calculate the Moore–Penrose inverse of a rectangular matrix. <a href="moore__penrose__pseudo__inverse_8c.html#a0ddd46446f074a0d38c04157686f5fce">More...</a><br /></td></tr>
+<tr class="separator:a0ddd46446f074a0d38c04157686f5fce"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:ada5b18da23c06c1a6f2449bbfe97a7c9"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="moore__penrose__pseudo__inverse_8c.html#ada5b18da23c06c1a6f2449bbfe97a7c9">moore_penrose_pinv_compute_print</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[m][n], uint8_t i)</td></tr>
+<tr class="memdesc:ada5b18da23c06c1a6f2449bbfe97a7c9"><td class="mdescLeft"> </td><td class="mdescRight">Compute and print the Moore–Penrose inverse of a matrix. <a href="moore__penrose__pseudo__inverse_8c.html#ada5b18da23c06c1a6f2449bbfe97a7c9">More...</a><br /></td></tr>
+<tr class="separator:ada5b18da23c06c1a6f2449bbfe97a7c9"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Moore–Penrose algorithm to compute the pseudo-inverse of a rectangular matrix. </p>
+<p>The computation of the pseudo-inverse is based on the Singular Value Decomposition (SVD).</p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="moore__penrose__pseudo__inverse_8c_source.html">moore_penrose_pseudo_inverse.c</a>.</p>
+</div><h2 class="groupheader">Function Documentation</h2>
+<a id="a0ddd46446f074a0d38c04157686f5fce"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a0ddd46446f074a0d38c04157686f5fce">◆ </a></span>moore_penrose_get_pinv()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">int8_t moore_penrose_get_pinv </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>A</em>[m][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>pinv_A</em>[n][m] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Calculate the Moore–Penrose inverse of a rectangular matrix. </p>
+<p>The computation of the Moore–Penrose inverse is based on the Golub–Kahan–Reinsch SVD algorithm.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the matrix to inverse. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix to inverse. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">A[][]</td><td>pointer to the matrix A. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">pinv_A[][]</td><td>pointer to the pseudo-inverse matrix.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>1, if the computation of the Moore-Penrose inverse is successful. </dd>
+<dd>
+-1, if the maximal, allowed column or row number is exceeded. </dd>
+<dd>
+-2, if the matrix is underdetermined (m<n). </dd>
+<dd>
+-3, if the rank of the matrix is equal to 0. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="moore__penrose__pseudo__inverse_8c_source.html#l00038">38</a> of file <a class="el" href="moore__penrose__pseudo__inverse_8c_source.html">moore_penrose_pseudo_inverse.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00062">matrix_dim_t::col_num</a>, <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>, <a class="el" href="matrix_8c_source.html#l00056">matrix_transpose()</a>, <a class="el" href="matrix_8h_source.html#l00061">matrix_dim_t::row_num</a>, <a class="el" href="svd_8c_source.html#l00114">svd_get_single_values_num()</a>, and <a class="el" href="svd_8c_source.html#l00096">svd_get_U_dim()</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="damped__newton__raphson_8c_source.html#l00120">get_delta_x()</a>, <a class="el" href="DOP_8c_source.html#l00030">get_PDOP()</a>, <a class="el" href="loc__gauss__newton_8c_source.html#l00030">loc_gauss_newton()</a>, <a class="el" href="modified__gauss__newton_8c_source.html#l00032">modified_gauss_newton()</a>, <a class="el" href="moore__penrose__pseudo__inverse_8c_source.html#l00167">moore_penrose_pinv_compute_print()</a>, <a class="el" href="newton__raphson_8c_source.html#l00028">newton_raphson()</a>, <a class="el" href="solve_8c_source.html#l00035">solve()</a>, <a class="el" href="trilateration_8c_source.html#l00069">trilateration2()</a>, and <a class="el" href="trilateration_8c_source.html#l00179">trilateration_get_particular_solution()</a>.</p>
+
+</div>
+</div>
+<a id="ada5b18da23c06c1a6f2449bbfe97a7c9"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#ada5b18da23c06c1a6f2449bbfe97a7c9">◆ </a></span>moore_penrose_pinv_compute_print()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void moore_penrose_pinv_compute_print </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>matrix</em>[m][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>i</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute and print the Moore–Penrose inverse of a matrix. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">matrix[][]</td><td>pointer to the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">i</td><td>label. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="moore__penrose__pseudo__inverse_8c_source.html#l00167">167</a> of file <a class="el" href="moore__penrose__pseudo__inverse_8c_source.html">moore_penrose_pseudo_inverse.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8c_source.html#l00220">matrix_flex_print()</a>, <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>, and <a class="el" href="moore__penrose__pseudo__inverse_8c_source.html#l00038">moore_penrose_get_pinv()</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="moore__penrose__pinv__test_8c_source.html#l00030">moore_penrose_pinv_test()</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="navelem"><a class="el" href="dir_8c4128baa09a573ad2b8b8c0061a04c9.html">linear_algebra</a></li><li class="navelem"><a class="el" href="dir_26c6b27917397f8a74a0fdde30fa8c1c.html">pseudo_inverse</a></li><li class="navelem"><a class="el" href="moore__penrose__pseudo__inverse_8c.html">moore_penrose_pseudo_inverse.c</a></li>
+ <li class="footer">Generated by
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+var moore__penrose__pseudo__inverse_8c =
+[
+ [ "moore_penrose_get_pinv", "moore__penrose__pseudo__inverse_8c.html#a0ddd46446f074a0d38c04157686f5fce", null ],
+ [ "moore_penrose_pinv_compute_print", "moore__penrose__pseudo__inverse_8c.html#ada5b18da23c06c1a6f2449bbfe97a7c9", null ]
+];
\ No newline at end of file
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new file mode 100644
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+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "https://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
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+<meta name="generator" content="Doxygen 1.8.16"/>
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+<div class="title">moore_penrose_pseudo_inverse.c</div> </div>
+</div><!--header-->
+<div class="contents">
+<a href="moore__penrose__pseudo__inverse_8c.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="preprocessor">#include <stdbool.h></span></div>
+<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#include <stdio.h></span></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="preprocessor">#include "<a class="code" href="moore__penrose__pseudo__inverse_8h.html">moore_penrose_pseudo_inverse.h</a>"</span></div>
+<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="preprocessor">#include "<a class="code" href="matrix_8h.html">matrix.h</a>"</span></div>
+<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="preprocessor">#include "<a class="code" href="svd_8h.html">svd.h</a>"</span></div>
+<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>  </div>
+<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="keyword">static</span> int32_t min(int32_t a, int32_t b);</div>
+<div class="line"><a name="l00032"></a><span class="lineno"> 32</span> <span class="keyword">static</span> int8_t moore_penrose_pinv(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[m][n],</div>
+<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>  uint8_t u_m, uint8_t u_n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> U[u_m][u_n],</div>
+<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> S[u_n][n], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> V[n][n],</div>
+<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  uint8_t s_length, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> s[],</div>
+<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> pinv_A[n][m]);</div>
+<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  </div>
+<div class="line"><a name="l00038"></a><span class="lineno"><a class="line" href="moore__penrose__pseudo__inverse_8c.html#a0ddd46446f074a0d38c04157686f5fce"> 38</a></span> int8_t <a class="code" href="moore__penrose__pseudo__inverse_8c.html#a0ddd46446f074a0d38c04157686f5fce">moore_penrose_get_pinv</a>(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[m][n],</div>
+<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> pinv_A[n][m])</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>  <a class="code" href="structmatrix__dim__t.html">matrix_dim_t</a> udim;</div>
+<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  int8_t answer = 0;</div>
+<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  </div>
+<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  <span class="keywordflow">if</span> (m < n) { <span class="comment">/*</span></div>
+<div class="line"><a name="l00045"></a><span class="lineno"> 45</span> <span class="comment"> * first compute the pseudo inverse of the transposed of the</span></div>
+<div class="line"><a name="l00046"></a><span class="lineno"> 46</span> <span class="comment"> * matrix A, than transpose the computed pseudo inverse.</span></div>
+<div class="line"><a name="l00047"></a><span class="lineno"> 47</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  uint8_t trans_m = n;</div>
+<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  uint8_t trans_n = m;</div>
+<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> trans_A[n][m];</div>
+<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> trans_A_pinv[trans_n][trans_m];</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>  <a class="code" href="matrix_8h.html#ad7c9a682a3cc4ca33c030afa8798241a">matrix_transpose</a>(m, n, A, trans_A);</div>
+<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  <a class="code" href="svd_8h.html#a8194826f85cc3105c4d8d4f342ca8df8">svd_get_U_dim</a>(trans_m, trans_n, &udim);</div>
+<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> U[udim.<a class="code" href="structmatrix__dim__t.html#a853244a0562d43bfdcdcb704ed707721">row_num</a>][udim.<a class="code" href="structmatrix__dim__t.html#aac6b6ff205184047714d5c22019bdbab">col_num</a>];</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>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> S[udim.<a class="code" href="structmatrix__dim__t.html#aac6b6ff205184047714d5c22019bdbab">col_num</a>][trans_n];</div>
+<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> V[trans_n][trans_n];</div>
+<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  uint8_t s_length = <a class="code" href="svd_8h.html#a91b85e542b1fc44d3500ba52aecb8e0e">svd_get_single_values_num</a>(trans_m, trans_n);</div>
+<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> s[s_length];</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>  answer = moore_penrose_pinv(trans_m, trans_n, trans_A,</div>
+<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  udim.<a class="code" href="structmatrix__dim__t.html#a853244a0562d43bfdcdcb704ed707721">row_num</a>, udim.<a class="code" href="structmatrix__dim__t.html#aac6b6ff205184047714d5c22019bdbab">col_num</a>, U, S, V,</div>
+<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  s_length, s, trans_A_pinv);</div>
+<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  <a class="code" href="matrix_8h.html#ad7c9a682a3cc4ca33c030afa8798241a">matrix_transpose</a>(trans_n, trans_m, trans_A_pinv, pinv_A);</div>
+<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  </div>
+<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  <span class="keywordflow">return</span> answer;</div>
+<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  }</div>
+<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  <span class="keywordflow">else</span> { <span class="comment">/* compute the pseudo inverse */</span></div>
+<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  <a class="code" href="svd_8h.html#a8194826f85cc3105c4d8d4f342ca8df8">svd_get_U_dim</a>(m, n, &udim);</div>
+<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> U[udim.<a class="code" href="structmatrix__dim__t.html#a853244a0562d43bfdcdcb704ed707721">row_num</a>][udim.<a class="code" href="structmatrix__dim__t.html#aac6b6ff205184047714d5c22019bdbab">col_num</a>];</div>
+<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> S[udim.<a class="code" href="structmatrix__dim__t.html#aac6b6ff205184047714d5c22019bdbab">col_num</a>][n];</div>
+<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> V[n][n];</div>
+<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  uint8_t s_length = <a class="code" href="svd_8h.html#a91b85e542b1fc44d3500ba52aecb8e0e">svd_get_single_values_num</a>(m, n);</div>
+<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> s[s_length];</div>
+<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  answer = moore_penrose_pinv(m, n, A,</div>
+<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  udim.<a class="code" href="structmatrix__dim__t.html#a853244a0562d43bfdcdcb704ed707721">row_num</a>, udim.<a class="code" href="structmatrix__dim__t.html#aac6b6ff205184047714d5c22019bdbab">col_num</a>, U, S, V,</div>
+<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  s_length, s, pinv_A);</div>
+<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  </div>
+<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  <span class="keywordflow">return</span> answer;</div>
+<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  }</div>
+<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  </div>
+<div class="line"><a name="l00083"></a><span class="lineno"> 83</span> }</div>
+<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  </div>
+<div class="line"><a name="l00101"></a><span class="lineno"> 101</span> <span class="keyword">static</span> int8_t moore_penrose_pinv(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[m][n],</div>
+<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  uint8_t u_m, uint8_t u_n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> U[u_m][u_n],</div>
+<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> S[u_n][n], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> V[n][n],</div>
+<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  uint8_t s_length, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> s[],</div>
+<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> pinv_A[n][m])</div>
+<div class="line"><a name="l00106"></a><span class="lineno"> 106</span> {</div>
+<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  </div>
+<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  <a class="code" href="structmatrix__dim__t.html">matrix_dim_t</a> u_dim;</div>
+<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> rec_s[s_length];</div>
+<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  </div>
+<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  uint8_t i, j, k, col_min;</div>
+<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  </div>
+<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  <span class="keywordflow">if</span> ((m > <a class="code" href="moore__penrose__pseudo__inverse_8h.html#a08c63915b31bfeb8d6256981f71b3746">MAX_ROW_NUM</a>) | (n > <a class="code" href="moore__penrose__pseudo__inverse_8h.html#ad174a66874978917203ae18e88d263af">MAX_COL_NUM</a>)) {</div>
+<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  </div>
+<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  printf(</div>
+<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  <span class="stringliteral">"The maximal, allowed number of the rows and columns is %d\n"</span>,</div>
+<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  <a class="code" href="moore__penrose__pseudo__inverse_8h.html#a08c63915b31bfeb8d6256981f71b3746">MAX_ROW_NUM</a>);</div>
+<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  <span class="keywordflow">return</span> <a class="code" href="moore__penrose__pseudo__inverse_8h.html#a4b5bc244bcae0f030336269904158df1">MOORE_PENROSE_PSEUDO_MAX_ALLOW_ROW_COL_EXCEEED</a>;</div>
+<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  }</div>
+<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  </div>
+<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  <span class="keywordflow">if</span> (m < n) {</div>
+<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  </div>
+<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  puts(<span class="stringliteral">"Please, give the transposed matrix"</span>);</div>
+<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  <span class="keywordflow">return</span> <a class="code" href="moore__penrose__pseudo__inverse_8h.html#aa41b1dd19931edcc50247511f12859e4">MOORE_PENROSE_PSEUDO_GIVE_MATRIX_TRANSPOSE</a>;</div>
+<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  }</div>
+<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  <span class="keywordflow">else</span> {</div>
+<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  <a class="code" href="svd_8h.html#a8194826f85cc3105c4d8d4f342ca8df8">svd_get_U_dim</a>(m, n, &u_dim);</div>
+<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  s_length = <a class="code" href="svd_8h.html#a91b85e542b1fc44d3500ba52aecb8e0e">svd_get_single_values_num</a>(m, n);</div>
+<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  </div>
+<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  <a class="code" href="svd_8h.html#acdccfce5b7732e6334ca5a521c57e63e">svd</a>(m, n, A, u_dim.<a class="code" href="structmatrix__dim__t.html#a853244a0562d43bfdcdcb704ed707721">row_num</a>, u_dim.<a class="code" href="structmatrix__dim__t.html#aac6b6ff205184047714d5c22019bdbab">col_num</a>, U, S, V, s_length,</div>
+<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  s);</div>
+<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  }</div>
+<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  </div>
+<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  <span class="keywordflow">if</span> (<a class="code" href="matrix_8h.html#a53879e7c4cfbc96725aef9f8234be7dd">matrix_get_rank</a>(m, n, s, s_length) < 1) {</div>
+<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  puts(<span class="stringliteral">"The minimum rank-value of a matrix is one"</span>);</div>
+<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  <span class="keywordflow">return</span> <a class="code" href="moore__penrose__pseudo__inverse_8h.html#a068a278115f777cb1b92107e5c88c68e">MOORE_PENROSE_INVALID_RANK_VALUE</a>;</div>
+<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  }</div>
+<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  </div>
+<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  <a class="code" href="svd_8h.html#ae92d53fe415ccfd63a21bb36936294cb">svd_get_reciproc_singular_values</a>(m, n, s_length, s, rec_s);</div>
+<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  </div>
+<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  col_min = min(n, u_dim.<a class="code" href="structmatrix__dim__t.html#aac6b6ff205184047714d5c22019bdbab">col_num</a>);</div>
+<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  </div>
+<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  <a class="code" href="matrix_8h.html#a0e06b2cfb86340e88be7b1219bef0ce3">matrix_clear</a>(n, m, pinv_A);</div>
+<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  </div>
+<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  <span class="keywordflow">for</span> (i = 0; i < n; i++) {</div>
+<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  <span class="keywordflow">for</span> (j = 0; j < u_dim.<a class="code" href="structmatrix__dim__t.html#a853244a0562d43bfdcdcb704ed707721">row_num</a>; j++) {</div>
+<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>  <span class="keywordflow">for</span> (k = 0; k < col_min; k++) {</div>
+<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>  pinv_A[i][j] += V[i][k] * rec_s[k] * U[j][k];</div>
+<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  </div>
+<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>  }</div>
+<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>  }</div>
+<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>  }</div>
+<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>  </div>
+<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>  <span class="keywordflow">return</span> <a class="code" href="moore__penrose__pseudo__inverse_8h.html#ae65d746cc90c1447fe1651614fde76eb">MOORE_PENROSE_PSEUDO_COMP_SUCCESS</a>;</div>
+<div class="line"><a name="l00155"></a><span class="lineno"> 155</span> }</div>
+<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>  </div>
+<div class="line"><a name="l00157"></a><span class="lineno"> 157</span> <span class="keyword">static</span> int32_t min(int32_t a, int32_t b)</div>
+<div class="line"><a name="l00158"></a><span class="lineno"> 158</span> {</div>
+<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  <span class="keywordflow">if</span> (a < b) {</div>
+<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  <span class="keywordflow">return</span> a;</div>
+<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>  }</div>
+<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  <span class="keywordflow">else</span> {</div>
+<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>  <span class="keywordflow">return</span> b;</div>
+<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>  }</div>
+<div class="line"><a name="l00165"></a><span class="lineno"> 165</span> }</div>
+<div class="line"><a name="l00166"></a><span class="lineno"> 166</span>  </div>
+<div class="line"><a name="l00167"></a><span class="lineno"><a class="line" href="moore__penrose__pseudo__inverse_8c.html#ada5b18da23c06c1a6f2449bbfe97a7c9"> 167</a></span> <span class="keywordtype">void</span> <a class="code" href="moore__penrose__pseudo__inverse_8c.html#ada5b18da23c06c1a6f2449bbfe97a7c9">moore_penrose_pinv_compute_print</a>(uint8_t m, uint8_t n,</div>
+<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[m][n], uint8_t i)</div>
+<div class="line"><a name="l00169"></a><span class="lineno"> 169</span> {</div>
+<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> pinv_mat[n][m];</div>
+<div class="line"><a name="l00171"></a><span class="lineno"> 171</span>  </div>
+<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>  <a class="code" href="moore__penrose__pseudo__inverse_8c.html#a0ddd46446f074a0d38c04157686f5fce">moore_penrose_get_pinv</a>(m, n, matrix, pinv_mat);</div>
+<div class="line"><a name="l00173"></a><span class="lineno"> 173</span>  printf(<span class="stringliteral">"pinv%d = "</span>, i);</div>
+<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>  <a class="code" href="matrix_8h.html#a82f374a9b8b215f0ef53d35401eae524">matrix_flex_print</a>(n, m, pinv_mat, 11, 7);</div>
+<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00176"></a><span class="lineno"> 176</span> }</div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="amoore__penrose__pseudo__inverse_8h_html_a08c63915b31bfeb8d6256981f71b3746"><div class="ttname"><a href="moore__penrose__pseudo__inverse_8h.html#a08c63915b31bfeb8d6256981f71b3746">MAX_ROW_NUM</a></div><div class="ttdeci">#define MAX_ROW_NUM</div><div class="ttdoc">The maximal row number allowed.</div><div class="ttdef"><b>Definition:</b> <a href="moore__penrose__pseudo__inverse_8h_source.html#l00031">moore_penrose_pseudo_inverse.h:31</a></div></div>
+<div class="ttc" id="amoore__penrose__pseudo__inverse_8h_html_a068a278115f777cb1b92107e5c88c68e"><div class="ttname"><a href="moore__penrose__pseudo__inverse_8h.html#a068a278115f777cb1b92107e5c88c68e">MOORE_PENROSE_INVALID_RANK_VALUE</a></div><div class="ttdeci">#define MOORE_PENROSE_INVALID_RANK_VALUE</div><div class="ttdoc">Invalid rank value of a matrix.</div><div class="ttdef"><b>Definition:</b> <a href="moore__penrose__pseudo__inverse_8h_source.html#l00057">moore_penrose_pseudo_inverse.h:57</a></div></div>
+<div class="ttc" id="amatrix_8h_html_a0e06b2cfb86340e88be7b1219bef0ce3"><div class="ttname"><a href="matrix_8h.html#a0e06b2cfb86340e88be7b1219bef0ce3">matrix_clear</a></div><div class="ttdeci">void matrix_clear(uint8_t m, uint8_t n, matrix_t matrix[m][n])</div><div class="ttdoc">Clear all the elements of the vector.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00046">matrix.c:46</a></div></div>
+<div class="ttc" id="astructmatrix__dim__t_html_a853244a0562d43bfdcdcb704ed707721"><div class="ttname"><a href="structmatrix__dim__t.html#a853244a0562d43bfdcdcb704ed707721">matrix_dim_t::row_num</a></div><div class="ttdeci">uint8_t row_num</div><div class="ttdoc">the row number</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8h_source.html#l00061">matrix.h:61</a></div></div>
+<div class="ttc" id="asvd_8h_html_acdccfce5b7732e6334ca5a521c57e63e"><div class="ttname"><a href="svd_8h.html#acdccfce5b7732e6334ca5a521c57e63e">svd</a></div><div class="ttdeci">void svd(uint8_t m, uint8_t n, matrix_t A[m][n], uint8_t u_m, uint8_t u_n, matrix_t U[u_m][u_n], matrix_t S[u_n][n], matrix_t V[n][n], uint8_t sing_vec_length, matrix_t singl_values_vec[])</div><div class="ttdoc">Compute the Singular-Value Decomposition (SVD) of a matrix.</div><div class="ttdef"><b>Definition:</b> <a href="svd_8c_source.html#l00119">svd.c:119</a></div></div>
+<div class="ttc" id="amoore__penrose__pseudo__inverse_8h_html_ad174a66874978917203ae18e88d263af"><div class="ttname"><a href="moore__penrose__pseudo__inverse_8h.html#ad174a66874978917203ae18e88d263af">MAX_COL_NUM</a></div><div class="ttdeci">#define MAX_COL_NUM</div><div class="ttdoc">The maximal column number allowed.</div><div class="ttdef"><b>Definition:</b> <a href="moore__penrose__pseudo__inverse_8h_source.html#l00036">moore_penrose_pseudo_inverse.h:36</a></div></div>
+<div class="ttc" id="amatrix_8h_html_ad7c9a682a3cc4ca33c030afa8798241a"><div class="ttname"><a href="matrix_8h.html#ad7c9a682a3cc4ca33c030afa8798241a">matrix_transpose</a></div><div class="ttdeci">void matrix_transpose(uint8_t m, uint8_t n, matrix_t src_matrix[m][n], matrix_t dest_matrix[n][m])</div><div class="ttdoc">Computes the transpose of a matrix.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00056">matrix.c:56</a></div></div>
+<div class="ttc" id="amoore__penrose__pseudo__inverse_8h_html_aa41b1dd19931edcc50247511f12859e4"><div class="ttname"><a href="moore__penrose__pseudo__inverse_8h.html#aa41b1dd19931edcc50247511f12859e4">MOORE_PENROSE_PSEUDO_GIVE_MATRIX_TRANSPOSE</a></div><div class="ttdeci">#define MOORE_PENROSE_PSEUDO_GIVE_MATRIX_TRANSPOSE</div><div class="ttdoc">The transposed matrix should be delivered.</div><div class="ttdef"><b>Definition:</b> <a href="moore__penrose__pseudo__inverse_8h_source.html#l00052">moore_penrose_pseudo_inverse.h:52</a></div></div>
+<div class="ttc" id="amoore__penrose__pseudo__inverse_8h_html_ae65d746cc90c1447fe1651614fde76eb"><div class="ttname"><a href="moore__penrose__pseudo__inverse_8h.html#ae65d746cc90c1447fe1651614fde76eb">MOORE_PENROSE_PSEUDO_COMP_SUCCESS</a></div><div class="ttdeci">#define MOORE_PENROSE_PSEUDO_COMP_SUCCESS</div><div class="ttdoc">The Moore–Penrose inverse is successfully completed.</div><div class="ttdef"><b>Definition:</b> <a href="moore__penrose__pseudo__inverse_8h_source.html#l00042">moore_penrose_pseudo_inverse.h:42</a></div></div>
+<div class="ttc" id="amatrix_8h_html_a53879e7c4cfbc96725aef9f8234be7dd"><div class="ttname"><a href="matrix_8h.html#a53879e7c4cfbc96725aef9f8234be7dd">matrix_get_rank</a></div><div class="ttdeci">uint8_t matrix_get_rank(uint8_t m, uint8_t n, matrix_t singl_values_arr[], uint8_t length)</div><div class="ttdoc">Compute the rank of a matrix.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00312">matrix.c:312</a></div></div>
+<div class="ttc" id="amatrix_8h_html"><div class="ttname"><a href="matrix_8h.html">matrix.h</a></div><div class="ttdoc">Matrix computations.</div></div>
+<div class="ttc" id="amatrix_8h_html_a82f374a9b8b215f0ef53d35401eae524"><div class="ttname"><a href="matrix_8h.html#a82f374a9b8b215f0ef53d35401eae524">matrix_flex_print</a></div><div class="ttdeci">void matrix_flex_print(uint8_t m, uint8_t n, matrix_t matrix[m][n], uint8_t before_dec, uint8_t after_dec)</div><div class="ttdoc">Display the values of the matrix elements.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00220">matrix.c:220</a></div></div>
+<div class="ttc" id="amoore__penrose__pseudo__inverse_8h_html"><div class="ttname"><a href="moore__penrose__pseudo__inverse_8h.html">moore_penrose_pseudo_inverse.h</a></div><div class="ttdoc">Moore–Penrose algorithm to compute the pseudo-inverse of a matrix.</div></div>
+<div class="ttc" id="astructmatrix__dim__t_html"><div class="ttname"><a href="structmatrix__dim__t.html">matrix_dim_t</a></div><div class="ttdoc">A structure to define the row and column number of a matrix.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8h_source.html#l00060">matrix.h:60</a></div></div>
+<div class="ttc" id="asvd_8h_html"><div class="ttname"><a href="svd_8h.html">svd.h</a></div><div class="ttdoc">Algorithm for the Singular Value Decomposition (SVD).</div></div>
+<div class="ttc" id="asvd_8h_html_a91b85e542b1fc44d3500ba52aecb8e0e"><div class="ttname"><a href="svd_8h.html#a91b85e542b1fc44d3500ba52aecb8e0e">svd_get_single_values_num</a></div><div class="ttdeci">uint8_t svd_get_single_values_num(uint8_t m, uint8_t n)</div><div class="ttdoc">Calculate the number of the singular values.</div><div class="ttdef"><b>Definition:</b> <a href="svd_8c_source.html#l00114">svd.c:114</a></div></div>
+<div class="ttc" id="asvd_8h_html_ae92d53fe415ccfd63a21bb36936294cb"><div class="ttname"><a href="svd_8h.html#ae92d53fe415ccfd63a21bb36936294cb">svd_get_reciproc_singular_values</a></div><div class="ttdeci">void svd_get_reciproc_singular_values(uint8_t m, uint8_t n, uint8_t length, matrix_t singl_values_arr[], matrix_t recip_singl_values_arr[])</div><div class="ttdoc">Compute the reciprocal singular values.</div><div class="ttdef"><b>Definition:</b> <a href="svd_8c_source.html#l00747">svd.c:747</a></div></div>
+<div class="ttc" id="amatrix_8h_html_af38ac6b76d645fea9abd6caeb4d9dd31"><div class="ttname"><a href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a></div><div class="ttdeci">#define matrix_t</div><div class="ttdoc">Define the data type of the matrix elements.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8h_source.html#l00038">matrix.h:38</a></div></div>
+<div class="ttc" id="amoore__penrose__pseudo__inverse_8h_html_a4b5bc244bcae0f030336269904158df1"><div class="ttname"><a href="moore__penrose__pseudo__inverse_8h.html#a4b5bc244bcae0f030336269904158df1">MOORE_PENROSE_PSEUDO_MAX_ALLOW_ROW_COL_EXCEEED</a></div><div class="ttdeci">#define MOORE_PENROSE_PSEUDO_MAX_ALLOW_ROW_COL_EXCEEED</div><div class="ttdoc">The maximal row number allowed is exceeded.</div><div class="ttdef"><b>Definition:</b> <a href="moore__penrose__pseudo__inverse_8h_source.html#l00047">moore_penrose_pseudo_inverse.h:47</a></div></div>
+<div class="ttc" id="amoore__penrose__pseudo__inverse_8c_html_ada5b18da23c06c1a6f2449bbfe97a7c9"><div class="ttname"><a href="moore__penrose__pseudo__inverse_8c.html#ada5b18da23c06c1a6f2449bbfe97a7c9">moore_penrose_pinv_compute_print</a></div><div class="ttdeci">void moore_penrose_pinv_compute_print(uint8_t m, uint8_t n, matrix_t matrix[m][n], uint8_t i)</div><div class="ttdoc">Compute and print the Moore–Penrose inverse of a matrix.</div><div class="ttdef"><b>Definition:</b> <a href="moore__penrose__pseudo__inverse_8c_source.html#l00167">moore_penrose_pseudo_inverse.c:167</a></div></div>
+<div class="ttc" id="amoore__penrose__pseudo__inverse_8c_html_a0ddd46446f074a0d38c04157686f5fce"><div class="ttname"><a href="moore__penrose__pseudo__inverse_8c.html#a0ddd46446f074a0d38c04157686f5fce">moore_penrose_get_pinv</a></div><div class="ttdeci">int8_t moore_penrose_get_pinv(uint8_t m, uint8_t n, matrix_t A[m][n], matrix_t pinv_A[n][m])</div><div class="ttdoc">Calculate the Moore–Penrose inverse of a rectangular matrix.</div><div class="ttdef"><b>Definition:</b> <a href="moore__penrose__pseudo__inverse_8c_source.html#l00038">moore_penrose_pseudo_inverse.c:38</a></div></div>
+<div class="ttc" id="asvd_8h_html_a8194826f85cc3105c4d8d4f342ca8df8"><div class="ttname"><a href="svd_8h.html#a8194826f85cc3105c4d8d4f342ca8df8">svd_get_U_dim</a></div><div class="ttdeci">void svd_get_U_dim(uint8_t m, uint8_t n, matrix_dim_t *u_dim)</div><div class="ttdoc">Calculate the dimension of the matrix U.</div><div class="ttdef"><b>Definition:</b> <a href="svd_8c_source.html#l00096">svd.c:96</a></div></div>
+<div class="ttc" id="astructmatrix__dim__t_html_aac6b6ff205184047714d5c22019bdbab"><div class="ttname"><a href="structmatrix__dim__t.html#aac6b6ff205184047714d5c22019bdbab">matrix_dim_t::col_num</a></div><div class="ttdeci">uint8_t col_num</div><div class="ttdoc">the column number</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8h_source.html#l00062">matrix.h:62</a></div></div>
+<!-- start footer part -->
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+ <ul>
+ <li class="navelem"><a class="el" href="dir_8c4128baa09a573ad2b8b8c0061a04c9.html">linear_algebra</a></li><li class="navelem"><a class="el" href="dir_26c6b27917397f8a74a0fdde30fa8c1c.html">pseudo_inverse</a></li><li class="navelem"><a class="el" href="moore__penrose__pseudo__inverse_8c.html">moore_penrose_pseudo_inverse.c</a></li>
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+ <div class="summary">
+<a href="#define-members">Macros</a> |
+<a href="#func-members">Functions</a> </div>
+ <div class="headertitle">
+<div class="title">moore_penrose_pseudo_inverse.h File Reference<div class="ingroups"><a class="el" href="group__linear__algebra.html">LINEAR_ALGEBRA</a> » <a class="el" href="group__pseudo__inverse.html">PSEUDO_INVERSE</a></div></div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Moore–Penrose algorithm to compute the pseudo-inverse of a matrix.
+<a href="#details">More...</a></p>
+<div class="textblock"><code>#include "<a class="el" href="matrix_8h_source.html">matrix.h</a>"</code><br />
+</div>
+<p><a href="moore__penrose__pseudo__inverse_8h_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="define-members"></a>
+Macros</h2></td></tr>
+<tr class="memitem:a08c63915b31bfeb8d6256981f71b3746"><td class="memItemLeft" align="right" valign="top"><a id="a08c63915b31bfeb8d6256981f71b3746"></a>
+#define </td><td class="memItemRight" valign="bottom"><a class="el" href="moore__penrose__pseudo__inverse_8h.html#a08c63915b31bfeb8d6256981f71b3746">MAX_ROW_NUM</a>   23</td></tr>
+<tr class="memdesc:a08c63915b31bfeb8d6256981f71b3746"><td class="mdescLeft"> </td><td class="mdescRight">The maximal row number allowed. <br /></td></tr>
+<tr class="separator:a08c63915b31bfeb8d6256981f71b3746"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:ad174a66874978917203ae18e88d263af"><td class="memItemLeft" align="right" valign="top"><a id="ad174a66874978917203ae18e88d263af"></a>
+#define </td><td class="memItemRight" valign="bottom"><a class="el" href="moore__penrose__pseudo__inverse_8h.html#ad174a66874978917203ae18e88d263af">MAX_COL_NUM</a>   23</td></tr>
+<tr class="memdesc:ad174a66874978917203ae18e88d263af"><td class="mdescLeft"> </td><td class="mdescRight">The maximal column number allowed. <br /></td></tr>
+<tr class="separator:ad174a66874978917203ae18e88d263af"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:ae65d746cc90c1447fe1651614fde76eb"><td class="memItemLeft" align="right" valign="top"><a id="ae65d746cc90c1447fe1651614fde76eb"></a>
+#define </td><td class="memItemRight" valign="bottom"><a class="el" href="moore__penrose__pseudo__inverse_8h.html#ae65d746cc90c1447fe1651614fde76eb">MOORE_PENROSE_PSEUDO_COMP_SUCCESS</a>   1</td></tr>
+<tr class="memdesc:ae65d746cc90c1447fe1651614fde76eb"><td class="mdescLeft"> </td><td class="mdescRight">The Moore–Penrose inverse is successfully completed. <br /></td></tr>
+<tr class="separator:ae65d746cc90c1447fe1651614fde76eb"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a4b5bc244bcae0f030336269904158df1"><td class="memItemLeft" align="right" valign="top"><a id="a4b5bc244bcae0f030336269904158df1"></a>
+#define </td><td class="memItemRight" valign="bottom"><a class="el" href="moore__penrose__pseudo__inverse_8h.html#a4b5bc244bcae0f030336269904158df1">MOORE_PENROSE_PSEUDO_MAX_ALLOW_ROW_COL_EXCEEED</a>   -1</td></tr>
+<tr class="memdesc:a4b5bc244bcae0f030336269904158df1"><td class="mdescLeft"> </td><td class="mdescRight">The maximal row number allowed is exceeded. <br /></td></tr>
+<tr class="separator:a4b5bc244bcae0f030336269904158df1"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:aa41b1dd19931edcc50247511f12859e4"><td class="memItemLeft" align="right" valign="top"><a id="aa41b1dd19931edcc50247511f12859e4"></a>
+#define </td><td class="memItemRight" valign="bottom"><a class="el" href="moore__penrose__pseudo__inverse_8h.html#aa41b1dd19931edcc50247511f12859e4">MOORE_PENROSE_PSEUDO_GIVE_MATRIX_TRANSPOSE</a>   -2</td></tr>
+<tr class="memdesc:aa41b1dd19931edcc50247511f12859e4"><td class="mdescLeft"> </td><td class="mdescRight">The transposed matrix should be delivered. <br /></td></tr>
+<tr class="separator:aa41b1dd19931edcc50247511f12859e4"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a068a278115f777cb1b92107e5c88c68e"><td class="memItemLeft" align="right" valign="top"><a id="a068a278115f777cb1b92107e5c88c68e"></a>
+#define </td><td class="memItemRight" valign="bottom"><a class="el" href="moore__penrose__pseudo__inverse_8h.html#a068a278115f777cb1b92107e5c88c68e">MOORE_PENROSE_INVALID_RANK_VALUE</a>   -3</td></tr>
+<tr class="memdesc:a068a278115f777cb1b92107e5c88c68e"><td class="mdescLeft"> </td><td class="mdescRight">Invalid rank value of a matrix. <br /></td></tr>
+<tr class="separator:a068a278115f777cb1b92107e5c88c68e"><td class="memSeparator" colspan="2"> </td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a0ddd46446f074a0d38c04157686f5fce"><td class="memItemLeft" align="right" valign="top">int8_t </td><td class="memItemRight" valign="bottom"><a class="el" href="moore__penrose__pseudo__inverse_8h.html#a0ddd46446f074a0d38c04157686f5fce">moore_penrose_get_pinv</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[m][n], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> pinv_A[n][m])</td></tr>
+<tr class="memdesc:a0ddd46446f074a0d38c04157686f5fce"><td class="mdescLeft"> </td><td class="mdescRight">Calculate the Moore–Penrose inverse of a rectangular matrix. <a href="moore__penrose__pseudo__inverse_8h.html#a0ddd46446f074a0d38c04157686f5fce">More...</a><br /></td></tr>
+<tr class="separator:a0ddd46446f074a0d38c04157686f5fce"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:ada5b18da23c06c1a6f2449bbfe97a7c9"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="moore__penrose__pseudo__inverse_8h.html#ada5b18da23c06c1a6f2449bbfe97a7c9">moore_penrose_pinv_compute_print</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[m][n], uint8_t i)</td></tr>
+<tr class="memdesc:ada5b18da23c06c1a6f2449bbfe97a7c9"><td class="mdescLeft"> </td><td class="mdescRight">Compute and print the Moore–Penrose inverse of a matrix. <a href="moore__penrose__pseudo__inverse_8h.html#ada5b18da23c06c1a6f2449bbfe97a7c9">More...</a><br /></td></tr>
+<tr class="separator:ada5b18da23c06c1a6f2449bbfe97a7c9"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Moore–Penrose algorithm to compute the pseudo-inverse of a matrix. </p>
+<p>The computation of the pseudo-inverse is based on the Singular Value Decomposition (SVD).</p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="moore__penrose__pseudo__inverse_8h_source.html">moore_penrose_pseudo_inverse.h</a>.</p>
+</div><h2 class="groupheader">Function Documentation</h2>
+<a id="a0ddd46446f074a0d38c04157686f5fce"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a0ddd46446f074a0d38c04157686f5fce">◆ </a></span>moore_penrose_get_pinv()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">int8_t moore_penrose_get_pinv </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>A</em>[m][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>pinv_A</em>[n][m] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Calculate the Moore–Penrose inverse of a rectangular matrix. </p>
+<p>The computation of the Moore–Penrose inverse is based on the Golub–Kahan–Reinsch SVD algorithm.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the matrix to inverse. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix to inverse. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">A[][]</td><td>pointer to the matrix A. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">pinv_A[][]</td><td>pointer to the pseudo-inverse matrix.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>1, if the computation of the Moore-Penrose inverse is successful. </dd>
+<dd>
+-1, if the maximal, allowed column or row number is exceeded. </dd>
+<dd>
+-2, if the matrix is underdetermined (m<n). </dd>
+<dd>
+-3, if the rank of the matrix is equal to 0. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="moore__penrose__pseudo__inverse_8c_source.html#l00038">38</a> of file <a class="el" href="moore__penrose__pseudo__inverse_8c_source.html">moore_penrose_pseudo_inverse.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00062">matrix_dim_t::col_num</a>, <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>, <a class="el" href="matrix_8c_source.html#l00056">matrix_transpose()</a>, <a class="el" href="matrix_8h_source.html#l00061">matrix_dim_t::row_num</a>, <a class="el" href="svd_8c_source.html#l00114">svd_get_single_values_num()</a>, and <a class="el" href="svd_8c_source.html#l00096">svd_get_U_dim()</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="damped__newton__raphson_8c_source.html#l00120">get_delta_x()</a>, <a class="el" href="DOP_8c_source.html#l00030">get_PDOP()</a>, <a class="el" href="loc__gauss__newton_8c_source.html#l00030">loc_gauss_newton()</a>, <a class="el" href="modified__gauss__newton_8c_source.html#l00032">modified_gauss_newton()</a>, <a class="el" href="moore__penrose__pseudo__inverse_8c_source.html#l00167">moore_penrose_pinv_compute_print()</a>, <a class="el" href="newton__raphson_8c_source.html#l00028">newton_raphson()</a>, <a class="el" href="solve_8c_source.html#l00035">solve()</a>, <a class="el" href="trilateration_8c_source.html#l00069">trilateration2()</a>, and <a class="el" href="trilateration_8c_source.html#l00179">trilateration_get_particular_solution()</a>.</p>
+
+</div>
+</div>
+<a id="ada5b18da23c06c1a6f2449bbfe97a7c9"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#ada5b18da23c06c1a6f2449bbfe97a7c9">◆ </a></span>moore_penrose_pinv_compute_print()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void moore_penrose_pinv_compute_print </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>matrix</em>[m][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>i</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute and print the Moore–Penrose inverse of a matrix. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">matrix[][]</td><td>pointer to the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">i</td><td>label. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="moore__penrose__pseudo__inverse_8c_source.html#l00167">167</a> of file <a class="el" href="moore__penrose__pseudo__inverse_8c_source.html">moore_penrose_pseudo_inverse.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8c_source.html#l00220">matrix_flex_print()</a>, <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>, and <a class="el" href="moore__penrose__pseudo__inverse_8c_source.html#l00038">moore_penrose_get_pinv()</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="moore__penrose__pinv__test_8c_source.html#l00030">moore_penrose_pinv_test()</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="navelem"><a class="el" href="dir_8c4128baa09a573ad2b8b8c0061a04c9.html">linear_algebra</a></li><li class="navelem"><a class="el" href="dir_26c6b27917397f8a74a0fdde30fa8c1c.html">pseudo_inverse</a></li><li class="navelem"><a class="el" href="dir_67e8c5a6e5ecbf2be8ed6f96c0e04fcd.html">include</a></li><li class="navelem"><a class="el" href="moore__penrose__pseudo__inverse_8h.html">moore_penrose_pseudo_inverse.h</a></li>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
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+[
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+ [ "MAX_ROW_NUM", "moore__penrose__pseudo__inverse_8h.html#a08c63915b31bfeb8d6256981f71b3746", null ],
+ [ "MOORE_PENROSE_INVALID_RANK_VALUE", "moore__penrose__pseudo__inverse_8h.html#a068a278115f777cb1b92107e5c88c68e", null ],
+ [ "MOORE_PENROSE_PSEUDO_COMP_SUCCESS", "moore__penrose__pseudo__inverse_8h.html#ae65d746cc90c1447fe1651614fde76eb", null ],
+ [ "MOORE_PENROSE_PSEUDO_GIVE_MATRIX_TRANSPOSE", "moore__penrose__pseudo__inverse_8h.html#aa41b1dd19931edcc50247511f12859e4", null ],
+ [ "MOORE_PENROSE_PSEUDO_MAX_ALLOW_ROW_COL_EXCEEED", "moore__penrose__pseudo__inverse_8h.html#a4b5bc244bcae0f030336269904158df1", null ],
+ [ "moore_penrose_get_pinv", "moore__penrose__pseudo__inverse_8h.html#a0ddd46446f074a0d38c04157686f5fce", null ],
+ [ "moore_penrose_pinv_compute_print", "moore__penrose__pseudo__inverse_8h.html#ada5b18da23c06c1a6f2449bbfe97a7c9", null ]
+];
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+/* @license-end */
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+<div class="title">moore_penrose_pseudo_inverse.h</div> </div>
+</div><!--header-->
+<div class="contents">
+<a href="moore__penrose__pseudo__inverse_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#ifndef MOORE_PENROSE_PSEUDO_INVERSE_H_</span></div>
+<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="preprocessor">#define MOORE_PENROSE_PSEUDO_INVERSE_H_</span></div>
+<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>  </div>
+<div class="line"><a name="l00031"></a><span class="lineno"><a class="line" href="moore__penrose__pseudo__inverse_8h.html#a08c63915b31bfeb8d6256981f71b3746"> 31</a></span> <span class="preprocessor">#define MAX_ROW_NUM 23</span></div>
+<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>  </div>
+<div class="line"><a name="l00036"></a><span class="lineno"><a class="line" href="moore__penrose__pseudo__inverse_8h.html#ad174a66874978917203ae18e88d263af"> 36</a></span> <span class="preprocessor">#define MAX_COL_NUM 23</span></div>
+<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  </div>
+<div class="line"><a name="l00038"></a><span class="lineno"> 38</span> <span class="comment">/* define error numbers */</span></div>
+<div class="line"><a name="l00042"></a><span class="lineno"><a class="line" href="moore__penrose__pseudo__inverse_8h.html#ae65d746cc90c1447fe1651614fde76eb"> 42</a></span> <span class="preprocessor">#define MOORE_PENROSE_PSEUDO_COMP_SUCCESS 1</span></div>
+<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  </div>
+<div class="line"><a name="l00047"></a><span class="lineno"><a class="line" href="moore__penrose__pseudo__inverse_8h.html#a4b5bc244bcae0f030336269904158df1"> 47</a></span> <span class="preprocessor">#define MOORE_PENROSE_PSEUDO_MAX_ALLOW_ROW_COL_EXCEEED -1</span></div>
+<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  </div>
+<div class="line"><a name="l00052"></a><span class="lineno"><a class="line" href="moore__penrose__pseudo__inverse_8h.html#aa41b1dd19931edcc50247511f12859e4"> 52</a></span> <span class="preprocessor">#define MOORE_PENROSE_PSEUDO_GIVE_MATRIX_TRANSPOSE -2</span></div>
+<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  </div>
+<div class="line"><a name="l00057"></a><span class="lineno"><a class="line" href="moore__penrose__pseudo__inverse_8h.html#a068a278115f777cb1b92107e5c88c68e"> 57</a></span> <span class="preprocessor">#define MOORE_PENROSE_INVALID_RANK_VALUE -3</span></div>
+<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  </div>
+<div class="line"><a name="l00059"></a><span class="lineno"> 59</span> <span class="preprocessor">#include "<a class="code" href="matrix_8h.html">matrix.h</a>"</span></div>
+<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  </div>
+<div class="line"><a name="l00077"></a><span class="lineno"> 77</span> int8_t <a class="code" href="moore__penrose__pseudo__inverse_8h.html#a0ddd46446f074a0d38c04157686f5fce">moore_penrose_get_pinv</a>(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[m][n],</div>
+<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> pinv_A[n][m]);</div>
+<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  </div>
+<div class="line"><a name="l00090"></a><span class="lineno"> 90</span> <span class="keywordtype">void</span> <a class="code" href="moore__penrose__pseudo__inverse_8h.html#ada5b18da23c06c1a6f2449bbfe97a7c9">moore_penrose_pinv_compute_print</a>(uint8_t m, uint8_t n,</div>
+<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix[m][n], uint8_t i);</div>
+<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  </div>
+<div class="line"><a name="l00093"></a><span class="lineno"> 93</span> <span class="preprocessor">#endif </span><span class="comment">/* MOORE_PENROSE_PSEUDO_INVERSE_H_ */</span><span class="preprocessor"></span></div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="amoore__penrose__pseudo__inverse_8h_html_a0ddd46446f074a0d38c04157686f5fce"><div class="ttname"><a href="moore__penrose__pseudo__inverse_8h.html#a0ddd46446f074a0d38c04157686f5fce">moore_penrose_get_pinv</a></div><div class="ttdeci">int8_t moore_penrose_get_pinv(uint8_t m, uint8_t n, matrix_t A[m][n], matrix_t pinv_A[n][m])</div><div class="ttdoc">Calculate the Moore–Penrose inverse of a rectangular matrix.</div><div class="ttdef"><b>Definition:</b> <a href="moore__penrose__pseudo__inverse_8c_source.html#l00038">moore_penrose_pseudo_inverse.c:38</a></div></div>
+<div class="ttc" id="amoore__penrose__pseudo__inverse_8h_html_ada5b18da23c06c1a6f2449bbfe97a7c9"><div class="ttname"><a href="moore__penrose__pseudo__inverse_8h.html#ada5b18da23c06c1a6f2449bbfe97a7c9">moore_penrose_pinv_compute_print</a></div><div class="ttdeci">void moore_penrose_pinv_compute_print(uint8_t m, uint8_t n, matrix_t matrix[m][n], uint8_t i)</div><div class="ttdoc">Compute and print the Moore–Penrose inverse of a matrix.</div><div class="ttdef"><b>Definition:</b> <a href="moore__penrose__pseudo__inverse_8c_source.html#l00167">moore_penrose_pseudo_inverse.c:167</a></div></div>
+<div class="ttc" id="amatrix_8h_html"><div class="ttname"><a href="matrix_8h.html">matrix.h</a></div><div class="ttdoc">Matrix computations.</div></div>
+<div class="ttc" id="amatrix_8h_html_af38ac6b76d645fea9abd6caeb4d9dd31"><div class="ttname"><a href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a></div><div class="ttdeci">#define matrix_t</div><div class="ttdoc">Define the data type of the matrix elements.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8h_source.html#l00038">matrix.h:38</a></div></div>
+<!-- start footer part -->
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diff --git a/doc/doxygen/html/multipath__algo__own__norm__distr__test_8c.html b/doc/doxygen/html/multipath__algo__own__norm__distr__test_8c.html
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+ name="MSearchResults" id="MSearchResults">
+</iframe>
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+
+<div class="header">
+ <div class="summary">
+<a href="#func-members">Functions</a> </div>
+ <div class="headertitle">
+<div class="title">multipath_algo_own_norm_distr_test.c File Reference</div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Example of the algorithm for the recognition and mitigation of multipath effects.
+<a href="#details">More...</a></p>
+<div class="textblock"><code>#include <float.h></code><br />
+<code>#include <stdio.h></code><br />
+<code>#include <unistd.h></code><br />
+<code>#include <inttypes.h></code><br />
+<code>#include "<a class="el" href="multipath__dist__detection__mitigation_8h_source.html">multipath_dist_detection_mitigation.h</a>"</code><br />
+<code>#include "<a class="el" href="loc__levenberg__marquardt_8h_source.html">loc_levenberg_marquardt.h</a>"</code><br />
+<code>#include "<a class="el" href="norm__dist__rnd__generator_8h_source.html">norm_dist_rnd_generator.h</a>"</code><br />
+<code>#include "<a class="el" href="dist__based__jacobian_8h_source.html">dist_based_jacobian.h</a>"</code><br />
+<code>#include "<a class="el" href="dist__based__fi_8h_source.html">dist_based_fi.h</a>"</code><br />
+<code>#include "<a class="el" href="shell__sort_8h_source.html">shell_sort.h</a>"</code><br />
+<code>#include "<a class="el" href="vector_8h_source.html">vector.h</a>"</code><br />
+<code>#include "<a class="el" href="DOP_8h_source.html">DOP.h</a>"</code><br />
+</div>
+<p><a href="multipath__algo__own__norm__distr__test_8c_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a557f81ea2791d07f6341dc44b0f169dd"><td class="memItemLeft" align="right" valign="top"><a id="a557f81ea2791d07f6341dc44b0f169dd"></a>
+void </td><td class="memItemRight" valign="bottom"><a class="el" href="multipath__algo__own__norm__distr__test_8c.html#a557f81ea2791d07f6341dc44b0f169dd">multipath_algo_own_norm_distr_test</a> (void)</td></tr>
+<tr class="memdesc:a557f81ea2791d07f6341dc44b0f169dd"><td class="mdescLeft"> </td><td class="mdescRight">Example of the algorithm for the recognition and mitigation of multipath effects. <br /></td></tr>
+<tr class="separator:a557f81ea2791d07f6341dc44b0f169dd"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Example of the algorithm for the recognition and mitigation of multipath effects. </p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd>
+<dd>
+Naouar Guerchali </dd>
+<dd>
+Abdelmoumen Norrdine <a href="#" onclick="location.href='mai'+'lto:'+'a.n'+'or'+'rdi'+'ne'+'@go'+'og'+'lem'+'ai'+'l.c'+'om'; return false;">a.nor<span style="display: none;">.nosp@m.</span>rdin<span style="display: none;">.nosp@m.</span>e@goo<span style="display: none;">.nosp@m.</span>glem<span style="display: none;">.nosp@m.</span>ail.c<span style="display: none;">.nosp@m.</span>om</a> </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="multipath__algo__own__norm__distr__test_8c_source.html">multipath_algo_own_norm_distr_test.c</a>.</p>
+</div></div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="navelem"><a class="el" href="dir_d28a4824dc47e487b107a5db32ef43c4.html">examples</a></li><li class="navelem"><a class="el" href="dir_801c9944761e72e374dff631ac46ee01.html">localization</a></li><li class="navelem"><a class="el" href="dir_37a5553f1548d2dee3f75063e28a3b6f.html">position_optimization</a></li><li class="navelem"><a class="el" href="multipath__algo__own__norm__distr__test_8c.html">multipath_algo_own_norm_distr_test.c</a></li>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
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diff --git a/doc/doxygen/html/multipath__algo__own__norm__distr__test_8c.js b/doc/doxygen/html/multipath__algo__own__norm__distr__test_8c.js
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+<div class="title">multipath_algo_own_norm_distr_test.c</div> </div>
+</div><!--header-->
+<div class="contents">
+<a href="multipath__algo__own__norm__distr__test_8c.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="preprocessor">#include <float.h></span></div>
+<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#include <stdio.h></span></div>
+<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="preprocessor">#include <unistd.h></span></div>
+<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="preprocessor">#include <inttypes.h></span></div>
+<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>  </div>
+<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="preprocessor">#include "<a class="code" href="multipath__dist__detection__mitigation_8h.html">multipath_dist_detection_mitigation.h</a>"</span></div>
+<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="preprocessor">#include "<a class="code" href="loc__levenberg__marquardt_8h.html">loc_levenberg_marquardt.h</a>"</span></div>
+<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="preprocessor">#include "<a class="code" href="norm__dist__rnd__generator_8h.html">norm_dist_rnd_generator.h</a>"</span></div>
+<div class="line"><a name="l00032"></a><span class="lineno"> 32</span> <span class="preprocessor">#include "<a class="code" href="dist__based__jacobian_8h.html">dist_based_jacobian.h</a>"</span></div>
+<div class="line"><a name="l00033"></a><span class="lineno"> 33</span> <span class="preprocessor">#include "<a class="code" href="dist__based__fi_8h.html">dist_based_fi.h</a>"</span></div>
+<div class="line"><a name="l00034"></a><span class="lineno"> 34</span> <span class="preprocessor">#include "<a class="code" href="shell__sort_8h.html">shell_sort.h</a>"</span></div>
+<div class="line"><a name="l00035"></a><span class="lineno"> 35</span> <span class="preprocessor">#include "<a class="code" href="vector_8h.html">vector.h</a>"</span></div>
+<div class="line"><a name="l00036"></a><span class="lineno"> 36</span> <span class="preprocessor">#include "<a class="code" href="DOP_8h.html">DOP.h</a>"</span></div>
+<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  </div>
+<div class="line"><a name="l00038"></a><span class="lineno"><a class="line" href="multipath__algo__own__norm__distr__test_8c.html#a557f81ea2791d07f6341dc44b0f169dd"> 38</a></span> <span class="keywordtype">void</span> <a class="code" href="multipath__algo__own__norm__distr__test_8c.html#a557f81ea2791d07f6341dc44b0f169dd">multipath_algo_own_norm_distr_test</a>(<span class="keywordtype">void</span>)</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>  <span class="comment">//to get the console output in the debugging mode.</span></div>
+<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  setvbuf(stdout, NULL, _IONBF, 0);</div>
+<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  setvbuf(stderr, NULL, _IONBF, 0);</div>
+<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  uint8_t n = 8; <span class="comment">//length of alphabet</span></div>
+<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  uint8_t k = 4; <span class="comment">//length of figures</span></div>
+<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  </div>
+<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_matrix[][3] = { { 1, 1, 1 },</div>
+<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  { 20, 1, 1 },</div>
+<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  { 20, 20, 1 },</div>
+<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  { 1, 20, 1 },</div>
+<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  { 1, 1, 20 },</div>
+<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  { 20, 1, 20 },</div>
+<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  { 20, 20, 20 },</div>
+<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  { 1, 20, 20 } };</div>
+<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  </div>
+<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> opt_noised_r_vec[k];</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>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> sol_x[3];</div>
+<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> optimal_start_pos[3];</div>
+<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> tmp_start_optimal[3];</div>
+<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  uint8_t optimal_anchor_combi_arr[k];</div>
+<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  uint8_t PDOP_Threshold = 8;</div>
+<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  uint8_t maxit = 100;</div>
+<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  uint8_t it = 0;</div>
+<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> tau = 1e-6;</div>
+<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> eps = 1e-5;</div>
+<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> beta0 = 0.2;</div>
+<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> beta1 = 0.8;</div>
+<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  uint8_t d_max = 19;</div>
+<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  uint8_t grid_cell_length = 2;</div>
+<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  uint8_t axis_point_num = d_max / grid_cell_length;</div>
+<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  uint32_t exact_point[3];</div>
+<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  <span class="comment">//matrix_t multipath[] = {5,3};</span></div>
+<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  <span class="comment">//matrix_t multipath[] = {4,3}; // for 4 anchors</span></div>
+<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> multipath[] = { 3 }; <span class="comment">// for 4 anchors</span></div>
+<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  uint8_t anchor_num = n;</div>
+<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  uint32_t room_point_num;</div>
+<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> noised_r_vec[anchor_num];</div>
+<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  uint32_t counter = 0;</div>
+<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> mean_lvm_call_num = 0;</div>
+<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> sigma = 0.1;</div>
+<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  int32_t initial_seed_val = 3;</div>
+<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  int32_t seed = 0;</div>
+<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  </div>
+<div class="line"><a name="l00084"></a><span class="lineno"> 84</span> <span class="comment"> /************************************************/</span></div>
+<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  </div>
+<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  puts(<span class="stringliteral">"################ START ################"</span>);</div>
+<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  </div>
+<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  <span class="comment">// initialize seed's value</span></div>
+<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  seed = initial_seed_val;</div>
+<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  </div>
+<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  <span class="comment">//Sampling the room</span></div>
+<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  <span class="keywordflow">for</span> (uint32_t z = 0; z <= axis_point_num; z++) {</div>
+<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  exact_point[2] = ref_matrix[0][2] + grid_cell_length * z;</div>
+<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  </div>
+<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  <span class="keywordflow">for</span> (uint32_t y = 0; y <= axis_point_num; y++) {</div>
+<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  exact_point[1] = ref_matrix[0][1]</div>
+<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  + grid_cell_length * y;</div>
+<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  </div>
+<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  <span class="keywordflow">for</span> (uint32_t x = 0; x <= axis_point_num; x++) {</div>
+<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  exact_point[0] = ref_matrix[0][0]</div>
+<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  + grid_cell_length * x;</div>
+<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  </div>
+<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  <span class="keywordflow">if</span> (!<a class="code" href="multipath__dist__detection__mitigation_8h.html#a944bb181ffe0b3abc69e345ae88fbfc1">is_anchor</a>(anchor_num, ref_matrix,</div>
+<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  exact_point)) {</div>
+<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  printf(<span class="stringliteral">"seed = %ld\n"</span>, (<span class="keywordtype">long</span>) seed);</div>
+<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  <a class="code" href="multipath__dist__detection__mitigation_8h.html#a2776d1c18727f8feb5f0a83a6963e957">sim_UWB_dist</a>(n, ref_matrix, exact_point,</div>
+<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  sigma, 2, multipath,</div>
+<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  seed, noised_r_vec);</div>
+<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  seed = 2 * initial_seed_val + 1;</div>
+<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  initial_seed_val++;</div>
+<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  </div>
+<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  <a class="code" href="multipath__dist__detection__mitigation_8h.html#a2840a12d90b5b26b59d50f449f754fbd">recog_mitigate_multipath</a>(k, n,</div>
+<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  ref_matrix,</div>
+<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  noised_r_vec,</div>
+<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  optimal_anchor_combi_arr,</div>
+<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  optimal_start_pos);</div>
+<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  </div>
+<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  <span class="comment">// PDOP & Levenberg</span></div>
+<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> opt_ref_matrix_comb_matrix[k][3];</div>
+<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  </div>
+<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  <a class="code" href="multipath__dist__detection__mitigation_8h.html#a6530e8d8955c511d3452748fec987a39">get_optimal_partial_ref_matrix</a>(n,</div>
+<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  ref_matrix, k,</div>
+<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  optimal_anchor_combi_arr,</div>
+<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  opt_ref_matrix_comb_matrix);</div>
+<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> PDOP =</div>
+<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  <a class="code" href="DOP_8c.html#a8b878ff6d73e8da6fbc3ae40f01b1ce4">get_PDOP</a>(k,</div>
+<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  opt_ref_matrix_comb_matrix,</div>
+<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  optimal_start_pos);</div>
+<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  </div>
+<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  <a class="code" href="multipath__dist__detection__mitigation_8h.html#a540837de8e8a9d4e5dbaac1814b19b5e">get_optimal_partial_r_noised_vec</a>(k,</div>
+<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  noised_r_vec,</div>
+<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  optimal_anchor_combi_arr,</div>
+<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  opt_noised_r_vec);</div>
+<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  </div>
+<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  <span class="keywordflow">if</span> (PDOP > PDOP_Threshold) {</div>
+<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  <a class="code" href="vector_8h.html#a1348a041e323e7b333482242b51a7674">vector_get_elements</a>(</div>
+<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  noised_r_vec, k,</div>
+<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  optimal_anchor_combi_arr,</div>
+<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  opt_noised_r_vec);</div>
+<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  <a class="code" href="vector_8h.html#ae9d3378f23ba835c727245b434b8a7f6">vector_copy</a>(3,</div>
+<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  optimal_start_pos,</div>
+<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  tmp_start_optimal);</div>
+<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  it =</div>
+<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  <a class="code" href="loc__levenberg__marquardt_8h.html#a09fdd720ff5c5658e160657153ee615f">loc_levenberg_marquardt</a>(</div>
+<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  3,</div>
+<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  opt_ref_matrix_comb_matrix,</div>
+<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>  optimal_start_pos,</div>
+<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>  opt_noised_r_vec,</div>
+<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  eps,</div>
+<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>  tau,</div>
+<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>  beta0,</div>
+<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>  beta1,</div>
+<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>  maxit,</div>
+<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>  sol_x,</div>
+<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  <a class="code" href="dist__based__fi_8c.html#a2a1d8806de5f7f5131be1fbd706c17fa">dist_based_f_i</a>,</div>
+<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>  <a class="code" href="dist__based__jacobian_8c.html#a59b1a3323c2896ff28f71135af0204a2">dist_based_jacobian_get_JTJ</a>,</div>
+<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  <a class="code" href="dist__based__jacobian_8c.html#a769d35615d26a67b97bfd40b5d26a95c">dist_based_jacobian_get_JTf</a>,</div>
+<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  <a class="code" href="dist__based__jacobian_8c.html#a04231d3d216ce6814eb3e183f7a2e408">dist_based_jacobian_get_J_mul_s</a>);</div>
+<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  mean_lvm_call_num++;</div>
+<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  </div>
+<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>  }</div>
+<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  <span class="keywordflow">else</span> {</div>
+<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>  it = 0;</div>
+<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>  <a class="code" href="vector_8h.html#ae9d3378f23ba835c727245b434b8a7f6">vector_copy</a>(3,</div>
+<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>  optimal_start_pos,</div>
+<div class="line"><a name="l00166"></a><span class="lineno"> 166</span>  sol_x);</div>
+<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>  }</div>
+<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>  </div>
+<div class="line"><a name="l00169"></a><span class="lineno"> 169</span>  puts(</div>
+<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>  <span class="stringliteral">"------------------------------------------------------------"</span>);</div>
+<div class="line"><a name="l00171"></a><span class="lineno"> 171</span>  printf(<span class="stringliteral">"PDOP = %f | it = %d\n"</span>, PDOP,</div>
+<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>  it);</div>
+<div class="line"><a name="l00173"></a><span class="lineno"> 173</span>  </div>
+<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>  printf(<span class="stringliteral">"r_noised_vec = "</span>);</div>
+<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>  <span class="comment">//matrix_print_array(r_noised_vec, n, 7);</span></div>
+<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>  <a class="code" href="vector_8h.html#ab2827264910e858f238868695a92db4b">vector_flex_print</a>(n, noised_r_vec, 5,</div>
+<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>  7);</div>
+<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00179"></a><span class="lineno"> 179</span>  printf(</div>
+<div class="line"><a name="l00180"></a><span class="lineno"> 180</span>  <span class="stringliteral">"anchors_optimal = {%u, %u, %u, %u}\n"</span>,</div>
+<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>  optimal_anchor_combi_arr[0],</div>
+<div class="line"><a name="l00182"></a><span class="lineno"> 182</span>  optimal_anchor_combi_arr[1],</div>
+<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>  optimal_anchor_combi_arr[2],</div>
+<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>  optimal_anchor_combi_arr[3]);</div>
+<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>  printf(</div>
+<div class="line"><a name="l00186"></a><span class="lineno"> 186</span>  <span class="stringliteral">"exact point = {%lu, %lu, %lu}\n"</span>,</div>
+<div class="line"><a name="l00187"></a><span class="lineno"> 187</span>  (<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span>)exact_point[0],</div>
+<div class="line"><a name="l00188"></a><span class="lineno"> 188</span>  (<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span>)exact_point[1],</div>
+<div class="line"><a name="l00189"></a><span class="lineno"> 189</span>  (<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span>)exact_point[2]);</div>
+<div class="line"><a name="l00190"></a><span class="lineno"> 190</span>  <span class="keywordflow">if</span> (it != 0) {</div>
+<div class="line"><a name="l00191"></a><span class="lineno"> 191</span>  printf(</div>
+<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>  <span class="stringliteral">"start_optimal = {%f, %f, %f}\n"</span>,</div>
+<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>  tmp_start_optimal[0],</div>
+<div class="line"><a name="l00194"></a><span class="lineno"> 194</span>  tmp_start_optimal[1],</div>
+<div class="line"><a name="l00195"></a><span class="lineno"> 195</span>  tmp_start_optimal[2]);</div>
+<div class="line"><a name="l00196"></a><span class="lineno"> 196</span>  }</div>
+<div class="line"><a name="l00197"></a><span class="lineno"> 197</span>  </div>
+<div class="line"><a name="l00198"></a><span class="lineno"> 198</span>  printf(<span class="stringliteral">"x_sol = {%.7f, %.7f, %.7f}\n"</span>,</div>
+<div class="line"><a name="l00199"></a><span class="lineno"> 199</span>  sol_x[0],</div>
+<div class="line"><a name="l00200"></a><span class="lineno"> 200</span>  sol_x[1],</div>
+<div class="line"><a name="l00201"></a><span class="lineno"> 201</span>  sol_x[2]);</div>
+<div class="line"><a name="l00202"></a><span class="lineno"> 202</span>  counter++;</div>
+<div class="line"><a name="l00203"></a><span class="lineno"> 203</span>  }<span class="comment">//x</span></div>
+<div class="line"><a name="l00204"></a><span class="lineno"> 204</span>  }<span class="comment">//if</span></div>
+<div class="line"><a name="l00205"></a><span class="lineno"> 205</span>  }<span class="comment">//y</span></div>
+<div class="line"><a name="l00206"></a><span class="lineno"> 206</span>  }<span class="comment">//Z</span></div>
+<div class="line"><a name="l00207"></a><span class="lineno"> 207</span>  </div>
+<div class="line"><a name="l00208"></a><span class="lineno"> 208</span>  room_point_num = counter;</div>
+<div class="line"><a name="l00209"></a><span class="lineno"> 209</span>  puts(</div>
+<div class="line"><a name="l00210"></a><span class="lineno"> 210</span>  <span class="stringliteral">"----------------------------- End Simulation -------------------------------"</span>);</div>
+<div class="line"><a name="l00211"></a><span class="lineno"> 211</span>  printf(<span class="stringliteral">"Counter = %lu\n"</span>, (<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span>) counter);</div>
+<div class="line"><a name="l00212"></a><span class="lineno"> 212</span>  printf(<span class="stringliteral">"room point num = %lu\n"</span>, (<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span>) room_point_num);</div>
+<div class="line"><a name="l00213"></a><span class="lineno"> 213</span>  printf(<span class="stringliteral">"anchors num = %u\n"</span>, n);</div>
+<div class="line"><a name="l00214"></a><span class="lineno"> 214</span>  printf(<span class="stringliteral">"LVM call number = %f\n"</span>, mean_lvm_call_num);</div>
+<div class="line"><a name="l00215"></a><span class="lineno"> 215</span>  printf(<span class="stringliteral">"mean LVM call number = %f\n"</span>,</div>
+<div class="line"><a name="l00216"></a><span class="lineno"> 216</span>  mean_lvm_call_num / room_point_num);</div>
+<div class="line"><a name="l00217"></a><span class="lineno"> 217</span> }</div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="amultipath__dist__detection__mitigation_8h_html_a944bb181ffe0b3abc69e345ae88fbfc1"><div class="ttname"><a href="multipath__dist__detection__mitigation_8h.html#a944bb181ffe0b3abc69e345ae88fbfc1">is_anchor</a></div><div class="ttdeci">bool is_anchor(uint8_t m, matrix_t ref_matr[m][3], uint32_t point[3])</div><div class="ttdoc">Determine if a point is an anchor or not.</div><div class="ttdef"><b>Definition:</b> <a href="multipath__dist__detection__mitigation_8c_source.html#l00065">multipath_dist_detection_mitigation.c:65</a></div></div>
+<div class="ttc" id="amultipath__dist__detection__mitigation_8h_html_a540837de8e8a9d4e5dbaac1814b19b5e"><div class="ttname"><a href="multipath__dist__detection__mitigation_8h.html#a540837de8e8a9d4e5dbaac1814b19b5e">get_optimal_partial_r_noised_vec</a></div><div class="ttdeci">void get_optimal_partial_r_noised_vec(uint8_t k, matrix_t r_noised_vec[], uint8_t optimal_anchors_comb[k], matrix_t opt_sub_r_noised_vec[k])</div><div class="ttdoc">Compute noised distances corresponding to the optimal partial matrix.</div><div class="ttdef"><b>Definition:</b> <a href="multipath__dist__detection__mitigation_8c_source.html#l00123">multipath_dist_detection_mitigation.c:123</a></div></div>
+<div class="ttc" id="avector_8h_html_ab2827264910e858f238868695a92db4b"><div class="ttname"><a href="vector_8h.html#ab2827264910e858f238868695a92db4b">vector_flex_print</a></div><div class="ttdeci">void vector_flex_print(uint32_t length, vector_t arr[], uint8_t before_dot, uint8_t after_dot)</div><div class="ttdoc">Display the values of the vector's elements.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00284">vector.c:284</a></div></div>
+<div class="ttc" id="aloc__levenberg__marquardt_8h_html_a09fdd720ff5c5658e160657153ee615f"><div class="ttname"><a href="loc__levenberg__marquardt_8h.html#a09fdd720ff5c5658e160657153ee615f">loc_levenberg_marquardt</a></div><div class="ttdeci">uint8_t loc_levenberg_marquardt(uint8_t ref_points_num, matrix_t ref_points_matrix[ref_points_num][3], matrix_t start_pos[3], matrix_t measured_data_vec[ref_points_num], matrix_t eps, matrix_t tau, matrix_t beta0, matrix_t beta1, uint8_t max_iter_num, matrix_t est_pos[3], void(*f_i)(uint8_t ref_points_num, matrix_t ref_point_mat[ref_points_num][3], matrix_t point[3], matrix_t d_vec[], matrix_t f_vec[]), void(*jacobian_get_JTJ)(uint8_t ref_points_num, matrix_t ref_point_matrix[][3], matrix_t point[3], matrix_t data_vec[ref_points_num], matrix_t JTJ[3][3]), void(*jacobian_get_JTf)(uint8_t ref_points_num, matrix_t ref_point_matrix[][3], matrix_t point[3], matrix_t data_vec[ref_points_num], matrix_t JTf[3]), void(*jacobian_get_J_mul_s)(uint8_t ref_points_num, matrix_t ref_point_matrix[][3], matrix_t point[3], matrix_t s[3], matrix_t J_s[ref_points_num]))</div><div class="ttdoc">Implements the Levenberg–Marquardt (LVM) algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="loc__levenberg__marquardt_8c_source.html#l00126">loc_levenberg_marquardt.c:126</a></div></div>
+<div class="ttc" id="amultipath__dist__detection__mitigation_8h_html_a2840a12d90b5b26b59d50f449f754fbd"><div class="ttname"><a href="multipath__dist__detection__mitigation_8h.html#a2840a12d90b5b26b59d50f449f754fbd">recog_mitigate_multipath</a></div><div class="ttdeci">void recog_mitigate_multipath(uint8_t k, uint8_t m, matrix_t ref_Matrix[m][3], matrix_t r_noised_vec[m], uint8_t anchors_optimal[k], matrix_t start_optimal[3])</div><div class="ttdoc">Implement the Multipath Distance Detection and Mitigation (MDDM) algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="multipath__dist__detection__mitigation_8c_source.html#l00133">multipath_dist_detection_mitigation.c:133</a></div></div>
+<div class="ttc" id="adist__based__jacobian_8h_html"><div class="ttname"><a href="dist__based__jacobian_8h.html">dist_based_jacobian.h</a></div><div class="ttdoc">Jacobian function of distance-based localization systems.</div></div>
+<div class="ttc" id="aloc__levenberg__marquardt_8h_html"><div class="ttname"><a href="loc__levenberg__marquardt_8h.html">loc_levenberg_marquardt.h</a></div><div class="ttdoc">Implement the Levenberg–Marquardt (LVM) algorithm for position optimization.</div></div>
+<div class="ttc" id="adist__based__jacobian_8c_html_a04231d3d216ce6814eb3e183f7a2e408"><div class="ttname"><a href="dist__based__jacobian_8c.html#a04231d3d216ce6814eb3e183f7a2e408">dist_based_jacobian_get_J_mul_s</a></div><div class="ttdeci">void dist_based_jacobian_get_J_mul_s(uint8_t ref_points_num, matrix_t ref_point_matrix[ref_points_num][3], matrix_t point[3], matrix_t s[3], matrix_t J_s[ref_points_num])</div><div class="ttdoc">Computes of distance-based localization system.</div><div class="ttdef"><b>Definition:</b> <a href="dist__based__jacobian_8c_source.html#l00132">dist_based_jacobian.c:132</a></div></div>
+<div class="ttc" id="adist__based__fi_8c_html_a2a1d8806de5f7f5131be1fbd706c17fa"><div class="ttname"><a href="dist__based__fi_8c.html#a2a1d8806de5f7f5131be1fbd706c17fa">dist_based_f_i</a></div><div class="ttdeci">void dist_based_f_i(uint8_t ref_points_num, matrix_t ref_point_mat[ref_points_num][3], matrix_t point[3], matrix_t d_vec[], matrix_t f_vec[])</div><div class="ttdoc">Defines the error function of a distance-based localization system.</div><div class="ttdef"><b>Definition:</b> <a href="dist__based__fi_8c_source.html#l00047">dist_based_fi.c:47</a></div></div>
+<div class="ttc" id="amultipath__dist__detection__mitigation_8h_html"><div class="ttname"><a href="multipath__dist__detection__mitigation_8h.html">multipath_dist_detection_mitigation.h</a></div><div class="ttdoc">Implement the Multipath Distance Detection and Mitigation (MDDM) algorithm.</div></div>
+<div class="ttc" id="aDOP_8c_html_a8b878ff6d73e8da6fbc3ae40f01b1ce4"><div class="ttname"><a href="DOP_8c.html#a8b878ff6d73e8da6fbc3ae40f01b1ce4">get_PDOP</a></div><div class="ttdeci">matrix_t get_PDOP(uint8_t m, matrix_t ref_Matrix[m][3], matrix_t true_pos[m])</div><div class="ttdoc">Compute the Position Dilution of Precision (PDOP).</div><div class="ttdef"><b>Definition:</b> <a href="DOP_8c_source.html#l00030">DOP.c:30</a></div></div>
+<div class="ttc" id="amultipath__algo__own__norm__distr__test_8c_html_a557f81ea2791d07f6341dc44b0f169dd"><div class="ttname"><a href="multipath__algo__own__norm__distr__test_8c.html#a557f81ea2791d07f6341dc44b0f169dd">multipath_algo_own_norm_distr_test</a></div><div class="ttdeci">void multipath_algo_own_norm_distr_test(void)</div><div class="ttdoc">Example of the algorithm for the recognition and mitigation of multipath effects.</div><div class="ttdef"><b>Definition:</b> <a href="multipath__algo__own__norm__distr__test_8c_source.html#l00038">multipath_algo_own_norm_distr_test.c:38</a></div></div>
+<div class="ttc" id="amultipath__dist__detection__mitigation_8h_html_a6530e8d8955c511d3452748fec987a39"><div class="ttname"><a href="multipath__dist__detection__mitigation_8h.html#a6530e8d8955c511d3452748fec987a39">get_optimal_partial_ref_matrix</a></div><div class="ttdeci">void get_optimal_partial_ref_matrix(uint8_t anchors_num, matrix_t ref_matrix[anchors_num][3], uint8_t k, uint8_t optimal_anchors_comb[k], matrix_t opt_partial_ref_matrix[k][3])</div><div class="ttdoc">Compute the optimal partial matrix including reference points.</div><div class="ttdef"><b>Definition:</b> <a href="multipath__dist__detection__mitigation_8c_source.html#l00108">multipath_dist_detection_mitigation.c:108</a></div></div>
+<div class="ttc" id="avector_8h_html_a1348a041e323e7b333482242b51a7674"><div class="ttname"><a href="vector_8h.html#a1348a041e323e7b333482242b51a7674">vector_get_elements</a></div><div class="ttdeci">void vector_get_elements(vector_t src_vec[], uint8_t k, uint8_t index_vec[], vector_t dst_vec[])</div><div class="ttdoc">Get the elements of the vector by an index vector.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00235">vector.c:235</a></div></div>
+<div class="ttc" id="adist__based__jacobian_8c_html_a59b1a3323c2896ff28f71135af0204a2"><div class="ttname"><a href="dist__based__jacobian_8c.html#a59b1a3323c2896ff28f71135af0204a2">dist_based_jacobian_get_JTJ</a></div><div class="ttdeci">void dist_based_jacobian_get_JTJ(uint8_t ref_points_num, matrix_t ref_point_matrix[ref_points_num][3], matrix_t point[3], matrix_t dist_vec[ref_points_num], matrix_t JTJ[3][3])</div><div class="ttdoc">Defines of distance-based localization system.</div><div class="ttdef"><b>Definition:</b> <a href="dist__based__jacobian_8c_source.html#l00056">dist_based_jacobian.c:56</a></div></div>
+<div class="ttc" id="avector_8h_html_ae9d3378f23ba835c727245b434b8a7f6"><div class="ttname"><a href="vector_8h.html#ae9d3378f23ba835c727245b434b8a7f6">vector_copy</a></div><div class="ttdeci">void vector_copy(uint8_t size, vector_t src_arr[], vector_t dest_arr[])</div><div class="ttdoc">Copy the elements of the source vector to the destination vector.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00037">vector.c:37</a></div></div>
+<div class="ttc" id="adist__based__fi_8h_html"><div class="ttname"><a href="dist__based__fi_8h.html">dist_based_fi.h</a></div><div class="ttdoc">Error function of distance-based localization systems.</div></div>
+<div class="ttc" id="amatrix_8h_html_af38ac6b76d645fea9abd6caeb4d9dd31"><div class="ttname"><a href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a></div><div class="ttdeci">#define matrix_t</div><div class="ttdoc">Define the data type of the matrix elements.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8h_source.html#l00038">matrix.h:38</a></div></div>
+<div class="ttc" id="avector_8h_html"><div class="ttname"><a href="vector_8h.html">vector.h</a></div><div class="ttdoc">Vector computations.</div></div>
+<div class="ttc" id="anorm__dist__rnd__generator_8h_html"><div class="ttname"><a href="norm__dist__rnd__generator_8h.html">norm_dist_rnd_generator.h</a></div><div class="ttdoc">Generating normally distributed random numbers.</div></div>
+<div class="ttc" id="ashell__sort_8h_html"><div class="ttname"><a href="shell__sort_8h.html">shell_sort.h</a></div><div class="ttdoc">Implement the Shell sort algorithm.</div></div>
+<div class="ttc" id="aDOP_8h_html"><div class="ttname"><a href="DOP_8h.html">DOP.h</a></div><div class="ttdoc">Compute the Position Dilution of Precision (PDOP).</div></div>
+<div class="ttc" id="adist__based__jacobian_8c_html_a769d35615d26a67b97bfd40b5d26a95c"><div class="ttname"><a href="dist__based__jacobian_8c.html#a769d35615d26a67b97bfd40b5d26a95c">dist_based_jacobian_get_JTf</a></div><div class="ttdeci">void dist_based_jacobian_get_JTf(uint8_t ref_points_num, matrix_t ref_point_matrix[ref_points_num][3], matrix_t point[3], matrix_t dist_vec[ref_points_num], vector_t JTf[3])</div><div class="ttdoc">Defines of distance-based localization system.</div><div class="ttdef"><b>Definition:</b> <a href="dist__based__jacobian_8c_source.html#l00028">dist_based_jacobian.c:28</a></div></div>
+<div class="ttc" id="amultipath__dist__detection__mitigation_8h_html_a2776d1c18727f8feb5f0a83a6963e957"><div class="ttname"><a href="multipath__dist__detection__mitigation_8h.html#a2776d1c18727f8feb5f0a83a6963e957">sim_UWB_dist</a></div><div class="ttdeci">void sim_UWB_dist(uint8_t m, matrix_t ref_matrix[m][3], uint32_t exact_point[], matrix_t sigma, uint8_t n, matrix_t multipath[n], int seed, matrix_t r_noised_vec[])</div><div class="ttdoc">Simulate an UWB-based localization system.</div><div class="ttdef"><b>Definition:</b> <a href="multipath__dist__detection__mitigation_8c_source.html#l00078">multipath_dist_detection_mitigation.c:78</a></div></div>
+<!-- start footer part -->
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+ <ul>
+ <li class="navelem"><a class="el" href="dir_d28a4824dc47e487b107a5db32ef43c4.html">examples</a></li><li class="navelem"><a class="el" href="dir_801c9944761e72e374dff631ac46ee01.html">localization</a></li><li class="navelem"><a class="el" href="dir_37a5553f1548d2dee3f75063e28a3b6f.html">position_optimization</a></li><li class="navelem"><a class="el" href="multipath__algo__own__norm__distr__test_8c.html">multipath_algo_own_norm_distr_test.c</a></li>
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diff --git a/doc/doxygen/html/multipath__algo__own__norm__distr__test_8h.html b/doc/doxygen/html/multipath__algo__own__norm__distr__test_8h.html
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+
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+<a href="#func-members">Functions</a> </div>
+ <div class="headertitle">
+<div class="title">multipath_algo_own_norm_distr_test.h File Reference<div class="ingroups"><a class="el" href="group__examples.html">EXAMPLES</a></div></div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Example of the algorithm for the recognition and mitigation of multipath effects.
+<a href="#details">More...</a></p>
+
+<p><a href="multipath__algo__own__norm__distr__test_8h_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a557f81ea2791d07f6341dc44b0f169dd"><td class="memItemLeft" align="right" valign="top"><a id="a557f81ea2791d07f6341dc44b0f169dd"></a>
+void </td><td class="memItemRight" valign="bottom"><a class="el" href="multipath__algo__own__norm__distr__test_8h.html#a557f81ea2791d07f6341dc44b0f169dd">multipath_algo_own_norm_distr_test</a> (void)</td></tr>
+<tr class="memdesc:a557f81ea2791d07f6341dc44b0f169dd"><td class="mdescLeft"> </td><td class="mdescRight">Example of the algorithm for the recognition and mitigation of multipath effects. <br /></td></tr>
+<tr class="separator:a557f81ea2791d07f6341dc44b0f169dd"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Example of the algorithm for the recognition and mitigation of multipath effects. </p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd>
+<dd>
+Naouar Guerchali </dd>
+<dd>
+Abdelmoumen Norrdine <a href="#" onclick="location.href='mai'+'lto:'+'a.n'+'or'+'rdi'+'ne'+'@go'+'og'+'lem'+'ai'+'l.c'+'om'; return false;">a.nor<span style="display: none;">.nosp@m.</span>rdin<span style="display: none;">.nosp@m.</span>e@goo<span style="display: none;">.nosp@m.</span>glem<span style="display: none;">.nosp@m.</span>ail.c<span style="display: none;">.nosp@m.</span>om</a> </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="multipath__algo__own__norm__distr__test_8h_source.html">multipath_algo_own_norm_distr_test.h</a>.</p>
+</div></div><!-- contents -->
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+ <li class="footer">Generated by
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+ <div id="projectname">RcdMathLib_doc
+ </div>
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+<!-- Generated by Doxygen 1.8.16 -->
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+<div id="MSearchSelectWindow"
+ onmouseover="return searchBox.OnSearchSelectShow()"
+ onmouseout="return searchBox.OnSearchSelectHide()"
+ onkeydown="return searchBox.OnSearchSelectKey(event)">
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+ name="MSearchResults" id="MSearchResults">
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+<div class="header">
+ <div class="headertitle">
+<div class="title">multipath_algo_own_norm_distr_test.h</div> </div>
+</div><!--header-->
+<div class="contents">
+<a href="multipath__algo__own__norm__distr__test_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#ifndef MULTIPATH_ALGO_OWN_NORM_DISTR_TEST_H_</span></div>
+<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="preprocessor">#define MULTIPATH_ALGO_OWN_NORM_DISTR_TEST_H_</span></div>
+<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>  </div>
+<div class="line"><a name="l00032"></a><span class="lineno"> 32</span> <span class="keywordtype">void</span> <a class="code" href="multipath__algo__own__norm__distr__test_8h.html#a557f81ea2791d07f6341dc44b0f169dd">multipath_algo_own_norm_distr_test</a>(<span class="keywordtype">void</span>);</div>
+<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>  </div>
+<div class="line"><a name="l00034"></a><span class="lineno"> 34</span> <span class="preprocessor">#endif </span><span class="comment">/* MULTIPATH_ALGO_OWN_NORM_DISTR_TEST_H_ */</span><span class="preprocessor"></span></div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="amultipath__algo__own__norm__distr__test_8h_html_a557f81ea2791d07f6341dc44b0f169dd"><div class="ttname"><a href="multipath__algo__own__norm__distr__test_8h.html#a557f81ea2791d07f6341dc44b0f169dd">multipath_algo_own_norm_distr_test</a></div><div class="ttdeci">void multipath_algo_own_norm_distr_test(void)</div><div class="ttdoc">Example of the algorithm for the recognition and mitigation of multipath effects.</div><div class="ttdef"><b>Definition:</b> <a href="multipath__algo__own__norm__distr__test_8c_source.html#l00038">multipath_algo_own_norm_distr_test.c:38</a></div></div>
+<!-- start footer part -->
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diff --git a/doc/doxygen/html/multipath__dist__detection__mitigation_8c.html b/doc/doxygen/html/multipath__dist__detection__mitigation_8c.html
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+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "https://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
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+ </div>
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+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+ onmouseover="return searchBox.OnSearchSelectShow()"
+ onmouseout="return searchBox.OnSearchSelectHide()"
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+<div id="MSearchResultsWindow">
+<iframe src="javascript:void(0)" frameborder="0"
+ name="MSearchResults" id="MSearchResults">
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+
+<div class="header">
+ <div class="summary">
+<a href="#func-members">Functions</a> </div>
+ <div class="headertitle">
+<div class="title">multipath_dist_detection_mitigation.c File Reference</div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Implement the Multipath Distance Detection and Mitigation (MDDM) algorithm.
+<a href="#details">More...</a></p>
+<div class="textblock"><code>#include <math.h></code><br />
+<code>#include <stdbool.h></code><br />
+<code>#include <stdio.h></code><br />
+<code>#include <float.h></code><br />
+<code>#include <stdlib.h></code><br />
+<code>#include <stdint.h></code><br />
+<code>#include <string.h></code><br />
+<code>#include "<a class="el" href="matrix_8h_source.html">matrix.h</a>"</code><br />
+<code>#include "<a class="el" href="vector_8h_source.html">vector.h</a>"</code><br />
+<code>#include "<a class="el" href="combinatorics_8h_source.html">combinatorics.h</a>"</code><br />
+<code>#include "<a class="el" href="multipath__dist__detection__mitigation_8h_source.html">multipath_dist_detection_mitigation.h</a>"</code><br />
+<code>#include "<a class="el" href="norm__dist__rnd__generator_8h_source.html">norm_dist_rnd_generator.h</a>"</code><br />
+<code>#include "<a class="el" href="shell__sort_8h_source.html">shell_sort.h</a>"</code><br />
+<code>#include "<a class="el" href="dist__based__position_8h_source.html">dist_based_position.h</a>"</code><br />
+<code>#include "<a class="el" href="DOP_8h_source.html">DOP.h</a>"</code><br />
+<code>#include "<a class="el" href="trilateration_8h_source.html">trilateration.h</a>"</code><br />
+</div>
+<p><a href="multipath__dist__detection__mitigation_8c_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a38019260396a33562d5a1912c691c26a"><td class="memItemLeft" align="right" valign="top"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="multipath__dist__detection__mitigation_8c.html#a38019260396a33562d5a1912c691c26a">get_exact_distance_to_anchor</a> (<a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point[], uint32_t exact_point[])</td></tr>
+<tr class="memdesc:a38019260396a33562d5a1912c691c26a"><td class="mdescLeft"> </td><td class="mdescRight">Computes the exact distance between a mobile station and a reference station. <a href="multipath__dist__detection__mitigation_8c.html#a38019260396a33562d5a1912c691c26a">More...</a><br /></td></tr>
+<tr class="separator:a38019260396a33562d5a1912c691c26a"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a5609107d45b6abfa6614fc79c56273c8"><td class="memItemLeft" align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="multipath__dist__detection__mitigation_8c.html#a5609107d45b6abfa6614fc79c56273c8">is_member</a> (<a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> vector, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> multipath[n])</td></tr>
+<tr class="memdesc:a5609107d45b6abfa6614fc79c56273c8"><td class="mdescLeft"> </td><td class="mdescRight">Determine if a candidate is a multipath or not. <a href="multipath__dist__detection__mitigation_8c.html#a5609107d45b6abfa6614fc79c56273c8">More...</a><br /></td></tr>
+<tr class="separator:a5609107d45b6abfa6614fc79c56273c8"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a944bb181ffe0b3abc69e345ae88fbfc1"><td class="memItemLeft" align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="multipath__dist__detection__mitigation_8c.html#a944bb181ffe0b3abc69e345ae88fbfc1">is_anchor</a> (uint8_t m, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_matr[m][3], uint32_t point[3])</td></tr>
+<tr class="memdesc:a944bb181ffe0b3abc69e345ae88fbfc1"><td class="mdescLeft"> </td><td class="mdescRight">Determine if a point is an anchor or not. <a href="multipath__dist__detection__mitigation_8c.html#a944bb181ffe0b3abc69e345ae88fbfc1">More...</a><br /></td></tr>
+<tr class="separator:a944bb181ffe0b3abc69e345ae88fbfc1"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a2776d1c18727f8feb5f0a83a6963e957"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="multipath__dist__detection__mitigation_8c.html#a2776d1c18727f8feb5f0a83a6963e957">sim_UWB_dist</a> (uint8_t m, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_matrix[m][3], uint32_t exact_point[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> sigma, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> multipath[n], int seed, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> r_noised_vec[])</td></tr>
+<tr class="memdesc:a2776d1c18727f8feb5f0a83a6963e957"><td class="mdescLeft"> </td><td class="mdescRight">Simulate an UWB-based localization system. <a href="multipath__dist__detection__mitigation_8c.html#a2776d1c18727f8feb5f0a83a6963e957">More...</a><br /></td></tr>
+<tr class="separator:a2776d1c18727f8feb5f0a83a6963e957"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a6530e8d8955c511d3452748fec987a39"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="multipath__dist__detection__mitigation_8c.html#a6530e8d8955c511d3452748fec987a39">get_optimal_partial_ref_matrix</a> (uint8_t anchors_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_matrix[anchors_num][3], uint8_t k, uint8_t optimal_anchors_comb[k], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> opt_partial_ref_matrix[k][3])</td></tr>
+<tr class="memdesc:a6530e8d8955c511d3452748fec987a39"><td class="mdescLeft"> </td><td class="mdescRight">Compute the optimal partial matrix including reference points. <a href="multipath__dist__detection__mitigation_8c.html#a6530e8d8955c511d3452748fec987a39">More...</a><br /></td></tr>
+<tr class="separator:a6530e8d8955c511d3452748fec987a39"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a540837de8e8a9d4e5dbaac1814b19b5e"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="multipath__dist__detection__mitigation_8c.html#a540837de8e8a9d4e5dbaac1814b19b5e">get_optimal_partial_r_noised_vec</a> (uint8_t k, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> r_noised_vec[], uint8_t optimal_anchors_comb[k], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> opt_sub_r_noised_vec[k])</td></tr>
+<tr class="memdesc:a540837de8e8a9d4e5dbaac1814b19b5e"><td class="mdescLeft"> </td><td class="mdescRight">Compute noised distances corresponding to the optimal partial matrix. <a href="multipath__dist__detection__mitigation_8c.html#a540837de8e8a9d4e5dbaac1814b19b5e">More...</a><br /></td></tr>
+<tr class="separator:a540837de8e8a9d4e5dbaac1814b19b5e"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a8cce1ff9263404ca1e58d67910f38d47"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="multipath__dist__detection__mitigation_8c.html#a8cce1ff9263404ca1e58d67910f38d47">recog_mitigate_multipath</a> (uint8_t k, uint8_t m, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_matrix[m][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> noised_r_vec[m], uint8_t anchors_optimal_combi[k], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> start_optimal_pos[3])</td></tr>
+<tr class="memdesc:a8cce1ff9263404ca1e58d67910f38d47"><td class="mdescLeft"> </td><td class="mdescRight">Implement the Multipath Distance Detection and Mitigation (MDDM) algorithm. <a href="multipath__dist__detection__mitigation_8c.html#a8cce1ff9263404ca1e58d67910f38d47">More...</a><br /></td></tr>
+<tr class="separator:a8cce1ff9263404ca1e58d67910f38d47"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Implement the Multipath Distance Detection and Mitigation (MDDM) algorithm. </p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd>
+<dd>
+Abdelmoumen Norrdine <a href="#" onclick="location.href='mai'+'lto:'+'a.n'+'or'+'rdi'+'ne'+'@go'+'og'+'lem'+'ai'+'l.c'+'om'; return false;">a.nor<span style="display: none;">.nosp@m.</span>rdin<span style="display: none;">.nosp@m.</span>e@goo<span style="display: none;">.nosp@m.</span>glem<span style="display: none;">.nosp@m.</span>ail.c<span style="display: none;">.nosp@m.</span>om</a> </dd>
+<dd>
+Naouar Guerchali </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="multipath__dist__detection__mitigation_8c_source.html">multipath_dist_detection_mitigation.c</a>.</p>
+</div><h2 class="groupheader">Function Documentation</h2>
+<a id="a38019260396a33562d5a1912c691c26a"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a38019260396a33562d5a1912c691c26a">◆ </a></span>get_exact_distance_to_anchor()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> get_exact_distance_to_anchor </td>
+ <td>(</td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>ref_point</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint32_t </td>
+ <td class="paramname"><em>exact_point</em>[] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Computes the exact distance between a mobile station and a reference station. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">ref_point</td><td>three-dimensional coordinates of a reference station. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">exact_point</td><td>three-dimensional coordinates of the mobile device.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the exact distance between the mobile station and the reference station. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="multipath__dist__detection__mitigation_8c_source.html#l00042">42</a> of file <a class="el" href="multipath__dist__detection__mitigation_8c_source.html">multipath_dist_detection_mitigation.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="multipath__dist__detection__mitigation_8c_source.html#l00078">sim_UWB_dist()</a>.</p>
+
+</div>
+</div>
+<a id="a540837de8e8a9d4e5dbaac1814b19b5e"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a540837de8e8a9d4e5dbaac1814b19b5e">◆ </a></span>get_optimal_partial_r_noised_vec()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void get_optimal_partial_r_noised_vec </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>k</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>r_noised_vec</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>optimal_anchors_comb</em>[k], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>opt_sub_r_noised_vec</em>[k] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute noised distances corresponding to the optimal partial matrix. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">k</td><td>k anchors (possible sub-experiments). </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">r_noised_vec[]</td><td>include noised distances. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">optimal_anchors_comb[]</td><td>optimal k-anchor combination. </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">opt_sub_r_noised_vec[][]</td><td>noised distances corresponding to the optimal k-anchors. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="multipath__dist__detection__mitigation_8c_source.html#l00123">123</a> of file <a class="el" href="multipath__dist__detection__mitigation_8c_source.html">multipath_dist_detection_mitigation.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="multipath__algo__own__norm__distr__test_8c_source.html#l00038">multipath_algo_own_norm_distr_test()</a>, and <a class="el" href="multipath__dist__detection__mitigation_8c_source.html#l00133">recog_mitigate_multipath()</a>.</p>
+
+</div>
+</div>
+<a id="a6530e8d8955c511d3452748fec987a39"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a6530e8d8955c511d3452748fec987a39">◆ </a></span>get_optimal_partial_ref_matrix()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void get_optimal_partial_ref_matrix </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>anchors_num</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>ref_matrix</em>[anchors_num][3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>k</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>optimal_anchors_comb</em>[k], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>opt_partial_ref_matrix</em>[k][3] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute the optimal partial matrix including reference points. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">anchors_num</td><td>number of the reference points. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">ref_matrix[][]</td><td>three-dimensional coordinates of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">k</td><td>k anchors (possible sub-experiments). </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">optimal_anchors_comb[]</td><td>optimal anchor combination. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">opt_partial_ref_matrix[][]</td><td>optimal partial matrix of anchors. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="multipath__dist__detection__mitigation_8c_source.html#l00108">108</a> of file <a class="el" href="multipath__dist__detection__mitigation_8c_source.html">multipath_dist_detection_mitigation.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="multipath__algo__own__norm__distr__test_8c_source.html#l00038">multipath_algo_own_norm_distr_test()</a>, and <a class="el" href="multipath__dist__detection__mitigation_8c_source.html#l00133">recog_mitigate_multipath()</a>.</p>
+
+</div>
+</div>
+<a id="a944bb181ffe0b3abc69e345ae88fbfc1"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a944bb181ffe0b3abc69e345ae88fbfc1">◆ </a></span>is_anchor()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">bool is_anchor </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>ref_matr</em>[m][3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint32_t </td>
+ <td class="paramname"><em>point</em>[3] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Determine if a point is an anchor or not. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>number of the reference points. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">ref_matr[][]</td><td>three-dimensional coordinates of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">point[]</td><td>three-dimensional coordinates of a point.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>true, if a point is an anchor. </dd>
+<dd>
+false, if not. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="multipath__dist__detection__mitigation_8c_source.html#l00065">65</a> of file <a class="el" href="multipath__dist__detection__mitigation_8c_source.html">multipath_dist_detection_mitigation.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="multipath__algo__own__norm__distr__test_8c_source.html#l00038">multipath_algo_own_norm_distr_test()</a>.</p>
+
+</div>
+</div>
+<a id="a5609107d45b6abfa6614fc79c56273c8"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a5609107d45b6abfa6614fc79c56273c8">◆ </a></span>is_member()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">bool is_member </td>
+ <td>(</td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>vector</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>multipath</em>[n] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Determine if a candidate is a multipath or not. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">vector</td><td>a candidate. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>size of the multipath-vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">multipath[]</td><td>pointer to the multipath-vector.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>true, if a candidate is a multipath. </dd>
+<dd>
+false, if not. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="multipath__dist__detection__mitigation_8c_source.html#l00055">55</a> of file <a class="el" href="multipath__dist__detection__mitigation_8c_source.html">multipath_dist_detection_mitigation.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="multipath__dist__detection__mitigation_8c_source.html#l00078">sim_UWB_dist()</a>.</p>
+
+</div>
+</div>
+<a id="a8cce1ff9263404ca1e58d67910f38d47"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a8cce1ff9263404ca1e58d67910f38d47">◆ </a></span>recog_mitigate_multipath()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void recog_mitigate_multipath </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>k</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>ref_Matrix</em>[m][3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>r_noised_vec</em>[m], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>anchors_optimal</em>[k], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>start_optimal</em>[3] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Implement the Multipath Distance Detection and Mitigation (MDDM) algorithm. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">k</td><td>k anchors (possible sub-experiments). </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>number of anchors. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">ref_Matrix[][]</td><td>three-dimensional coordinates of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">r_noised_vec[]</td><td>include noised distances. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">anchors_optimal[]</td><td>optimal k-anchor combination. </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">start_optimal[]</td><td>optimal position. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="multipath__dist__detection__mitigation_8c_source.html#l00133">133</a> of file <a class="el" href="multipath__dist__detection__mitigation_8c_source.html">multipath_dist_detection_mitigation.c</a>.</p>
+
+<p class="reference">References <a class="el" href="combinatorics_8h_source.html#l00031">COMBI_ERROR</a>, <a class="el" href="combinatorics_8h_source.html#l00041">COMBI_SUCCESS</a>, <a class="el" href="combinatorics_8c_source.html#l00048">combinatorics_get_next_without_rep()</a>, <a class="el" href="combinatorics_8c_source.html#l00029">combinatorics_init()</a>, <a class="el" href="multipath__dist__detection__mitigation_8c_source.html#l00123">get_optimal_partial_r_noised_vec()</a>, <a class="el" href="multipath__dist__detection__mitigation_8c_source.html#l00108">get_optimal_partial_ref_matrix()</a>, <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>, <a class="el" href="shell__sort_8c_source.html#l00049">shell_sort()</a>, <a class="el" href="trilateration_8c_source.html#l00069">trilateration2()</a>, <a class="el" href="vector_8c_source.html#l00037">vector_copy()</a>, <a class="el" href="vector_8c_source.html#l00214">vector_get_index_vector()</a>, <a class="el" href="vector_8c_source.html#l00042">vector_get_norm2()</a>, <a class="el" href="vector_8c_source.html#l00124">vector_square()</a>, and <a class="el" href="vector_8c_source.html#l00094">vector_sub()</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="multipath__algo__own__norm__distr__test_8c_source.html#l00038">multipath_algo_own_norm_distr_test()</a>.</p>
+
+</div>
+</div>
+<a id="a2776d1c18727f8feb5f0a83a6963e957"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a2776d1c18727f8feb5f0a83a6963e957">◆ </a></span>sim_UWB_dist()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void sim_UWB_dist </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>ref_matrix</em>[m][3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint32_t </td>
+ <td class="paramname"><em>exact_point</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>sigma</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>multipath</em>[n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">int </td>
+ <td class="paramname"><em>seed</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>r_noised_vec</em>[] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Simulate an UWB-based localization system. </p>
+<p>The UWB system is simulated by noising the distances from a mobile to the reference station.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>number of the reference points. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">ref_matrix[][]</td><td>three-dimensional coordinates of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">exact_point[]</td><td>three-dimensional coordinates of a true position. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">sigma</td><td><img class="formulaInl" alt="$ \sigma_{M,W} $" src="form_60.png"/> parameter. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>number of the multipath-affected distances. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">multipath[]</td><td>multipath vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">seed</td><td>seed value. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">r_noised_vec[]</td><td>noised distances. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="multipath__dist__detection__mitigation_8c_source.html#l00078">78</a> of file <a class="el" href="multipath__dist__detection__mitigation_8c_source.html">multipath_dist_detection_mitigation.c</a>.</p>
+
+<p class="reference">References <a class="el" href="multipath__dist__detection__mitigation_8c_source.html#l00042">get_exact_distance_to_anchor()</a>, <a class="el" href="norm__dist__rnd__generator_8c_source.html#l00040">get_norm_distr_rand_num()</a>, <a class="el" href="norm__dist__rnd__generator_8c_source.html#l00080">get_rand_num()</a>, <a class="el" href="multipath__dist__detection__mitigation_8c_source.html#l00055">is_member()</a>, and <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="multipath__algo__own__norm__distr__test_8c_source.html#l00038">multipath_algo_own_norm_distr_test()</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="navelem"><a class="el" href="dir_ca7b3fe3a5c68321cdadecc73cd5d1a0.html">localization</a></li><li class="navelem"><a class="el" href="dir_6b02df0bd0782e84dd3cd412549b0acc.html">position_optimization</a></li><li class="navelem"><a class="el" href="multipath__dist__detection__mitigation_8c.html">multipath_dist_detection_mitigation.c</a></li>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
+ </ul>
+</div>
+</body>
+</html>
diff --git a/doc/doxygen/html/multipath__dist__detection__mitigation_8c.js b/doc/doxygen/html/multipath__dist__detection__mitigation_8c.js
new file mode 100644
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+++ b/doc/doxygen/html/multipath__dist__detection__mitigation_8c.js
@@ -0,0 +1,10 @@
+var multipath__dist__detection__mitigation_8c =
+[
+ [ "get_exact_distance_to_anchor", "multipath__dist__detection__mitigation_8c.html#a38019260396a33562d5a1912c691c26a", null ],
+ [ "get_optimal_partial_r_noised_vec", "multipath__dist__detection__mitigation_8c.html#a540837de8e8a9d4e5dbaac1814b19b5e", null ],
+ [ "get_optimal_partial_ref_matrix", "multipath__dist__detection__mitigation_8c.html#a6530e8d8955c511d3452748fec987a39", null ],
+ [ "is_anchor", "multipath__dist__detection__mitigation_8c.html#a944bb181ffe0b3abc69e345ae88fbfc1", null ],
+ [ "is_member", "multipath__dist__detection__mitigation_8c.html#a5609107d45b6abfa6614fc79c56273c8", null ],
+ [ "recog_mitigate_multipath", "multipath__dist__detection__mitigation_8c.html#a8cce1ff9263404ca1e58d67910f38d47", null ],
+ [ "sim_UWB_dist", "multipath__dist__detection__mitigation_8c.html#a2776d1c18727f8feb5f0a83a6963e957", null ]
+];
\ No newline at end of file
diff --git a/doc/doxygen/html/multipath__dist__detection__mitigation_8c_source.html b/doc/doxygen/html/multipath__dist__detection__mitigation_8c_source.html
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@@ -0,0 +1,326 @@
+<!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 1.8.16"/>
+<meta name="viewport" content="width=device-width, initial-scale=1"/>
+<title>RcdMathLib_doc: multipath_dist_detection_mitigation.c Source File</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="jquery.js"></script>
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+<script type="text/javascript" src="navtree.js"></script>
+<script type="text/javascript">
+/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&dn=gpl-2.0.txt GPL-v2 */
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+/* @license-end */</script>
+<link href="search/search.css" rel="stylesheet" type="text/css"/>
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+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+ <td id="projectalign" style="padding-left: 0.5em;">
+ <div id="projectname">RcdMathLib_doc
+ </div>
+ <div id="projectbrief">Open Source Library for Linear and Non-linear Algebra</div>
+ </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.16 -->
+<script type="text/javascript">
+/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&dn=gpl-2.0.txt GPL-v2 */
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+/* @license-end */
+</script>
+<script type="text/javascript" src="menudata.js"></script>
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+/* @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)">
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+ name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="header">
+ <div class="headertitle">
+<div class="title">multipath_dist_detection_mitigation.c</div> </div>
+</div><!--header-->
+<div class="contents">
+<a href="multipath__dist__detection__mitigation_8c.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="preprocessor">#include <math.h></span></div>
+<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#include <stdbool.h></span></div>
+<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="preprocessor">#include <stdio.h></span></div>
+<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="preprocessor">#include <float.h></span></div>
+<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="preprocessor">#include <stdlib.h></span></div>
+<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="preprocessor">#include <stdint.h></span></div>
+<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="preprocessor">#include <string.h></span></div>
+<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  </div>
+<div class="line"><a name="l00032"></a><span class="lineno"> 32</span> <span class="preprocessor">#include "<a class="code" href="matrix_8h.html">matrix.h</a>"</span></div>
+<div class="line"><a name="l00033"></a><span class="lineno"> 33</span> <span class="preprocessor">#include "<a class="code" href="vector_8h.html">vector.h</a>"</span></div>
+<div class="line"><a name="l00034"></a><span class="lineno"> 34</span> <span class="preprocessor">#include "<a class="code" href="combinatorics_8h.html">combinatorics.h</a>"</span></div>
+<div class="line"><a name="l00035"></a><span class="lineno"> 35</span> <span class="preprocessor">#include "<a class="code" href="multipath__dist__detection__mitigation_8h.html">multipath_dist_detection_mitigation.h</a>"</span></div>
+<div class="line"><a name="l00036"></a><span class="lineno"> 36</span> <span class="preprocessor">#include "<a class="code" href="norm__dist__rnd__generator_8h.html">norm_dist_rnd_generator.h</a>"</span></div>
+<div class="line"><a name="l00037"></a><span class="lineno"> 37</span> <span class="preprocessor">#include "<a class="code" href="shell__sort_8h.html">shell_sort.h</a>"</span></div>
+<div class="line"><a name="l00038"></a><span class="lineno"> 38</span> <span class="preprocessor">#include "<a class="code" href="dist__based__position_8h.html">dist_based_position.h</a>"</span></div>
+<div class="line"><a name="l00039"></a><span class="lineno"> 39</span> <span class="preprocessor">#include "<a class="code" href="DOP_8h.html">DOP.h</a>"</span></div>
+<div class="line"><a name="l00040"></a><span class="lineno"> 40</span> <span class="preprocessor">#include "<a class="code" href="trilateration_8h.html">trilateration.h</a>"</span></div>
+<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  </div>
+<div class="line"><a name="l00042"></a><span class="lineno"><a class="line" href="multipath__dist__detection__mitigation_8c.html#a38019260396a33562d5a1912c691c26a"> 42</a></span> <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> <a class="code" href="multipath__dist__detection__mitigation_8c.html#a38019260396a33562d5a1912c691c26a">get_exact_distance_to_anchor</a>(<a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point[],</div>
+<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  uint32_t exact_point[])</div>
+<div class="line"><a name="l00044"></a><span class="lineno"> 44</span> {</div>
+<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> d = sqrt(</div>
+<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  pow((exact_point[0] - ref_point[0]), 2)</div>
+<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  + pow((exact_point[1] - ref_point[1]),</div>
+<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  2)</div>
+<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  + pow((exact_point[2] - ref_point[2]),</div>
+<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  2));</div>
+<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  </div>
+<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  <span class="keywordflow">return</span> d;</div>
+<div class="line"><a name="l00053"></a><span class="lineno"> 53</span> }</div>
+<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  </div>
+<div class="line"><a name="l00055"></a><span class="lineno"><a class="line" href="multipath__dist__detection__mitigation_8c.html#a5609107d45b6abfa6614fc79c56273c8"> 55</a></span> <span class="keywordtype">bool</span> <a class="code" href="multipath__dist__detection__mitigation_8c.html#a5609107d45b6abfa6614fc79c56273c8">is_member</a>(<a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> vector, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> multipath[n])</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="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < n; i++) {</div>
+<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  <span class="keywordflow">if</span> (vector == multipath[i]) {</div>
+<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  <span class="keywordflow">return</span> <span class="keyword">true</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> <span class="keyword">false</span>;</div>
+<div class="line"><a name="l00063"></a><span class="lineno"> 63</span> }</div>
+<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  </div>
+<div class="line"><a name="l00065"></a><span class="lineno"><a class="line" href="multipath__dist__detection__mitigation_8c.html#a944bb181ffe0b3abc69e345ae88fbfc1"> 65</a></span> <span class="keywordtype">bool</span> <a class="code" href="multipath__dist__detection__mitigation_8c.html#a944bb181ffe0b3abc69e345ae88fbfc1">is_anchor</a>(uint8_t m, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_matr[m][3], uint32_t point[3])</div>
+<div class="line"><a name="l00066"></a><span class="lineno"> 66</span> {</div>
+<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  </div>
+<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  <span class="keywordflow">for</span> (uint8_t i = 0; i < m; i++) {</div>
+<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  <span class="keywordflow">if</span> (point[0] == ref_matr[i][0] && point[1] == ref_matr[i][1]</div>
+<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  && point[2] == ref_matr[i][2]) {</div>
+<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
+<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  }</div>
+<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  </div>
+<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  }</div>
+<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
+<div class="line"><a name="l00076"></a><span class="lineno"> 76</span> }</div>
+<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  </div>
+<div class="line"><a name="l00078"></a><span class="lineno"><a class="line" href="multipath__dist__detection__mitigation_8c.html#a2776d1c18727f8feb5f0a83a6963e957"> 78</a></span> <span class="keywordtype">void</span> <a class="code" href="multipath__dist__detection__mitigation_8c.html#a2776d1c18727f8feb5f0a83a6963e957">sim_UWB_dist</a>(uint8_t m, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_matrix[m][3], uint32_t exact_point[],</div>
+<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> sigma, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> multipath[n], <span class="keywordtype">int</span> seed,</div>
+<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> r_noised_vec[])</div>
+<div class="line"><a name="l00081"></a><span class="lineno"> 81</span> {</div>
+<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> M_UW = 0.88;</div>
+<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> sigma_UW = 1.522;</div>
+<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> R = 0.0;</div>
+<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  </div>
+<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  <span class="comment">// set seed</span></div>
+<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  <a class="code" href="norm__dist__rnd__generator_8h.html#a58c36346c01fb7f1a336a610b177b903">get_rand_num</a>(seed);</div>
+<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  </div>
+<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < m; i++) {</div>
+<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> d = <a class="code" href="multipath__dist__detection__mitigation_8c.html#a38019260396a33562d5a1912c691c26a">get_exact_distance_to_anchor</a>(ref_matrix[i],</div>
+<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  exact_point);</div>
+<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  </div>
+<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  <span class="keywordflow">if</span> (<a class="code" href="multipath__dist__detection__mitigation_8c.html#a5609107d45b6abfa6614fc79c56273c8">is_member</a>(i + 1, n, multipath) == <span class="keyword">true</span>) {</div>
+<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  </div>
+<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  R = log(1 + d)</div>
+<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  * <a class="code" href="norm__dist__rnd__generator_8h.html#a35eb81d6885b8d16d225b230f88a919a">get_norm_distr_rand_num</a>(M_UW,</div>
+<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  sigma_UW);</div>
+<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  </div>
+<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  }</div>
+<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  <span class="keywordflow">else</span> {</div>
+<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  </div>
+<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  R = sigma * <a class="code" href="norm__dist__rnd__generator_8h.html#a35eb81d6885b8d16d225b230f88a919a">get_norm_distr_rand_num</a>(0, 1);</div>
+<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  }</div>
+<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  r_noised_vec[i] = R + d;</div>
+<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  }</div>
+<div class="line"><a name="l00106"></a><span class="lineno"> 106</span> }</div>
+<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  </div>
+<div class="line"><a name="l00108"></a><span class="lineno"><a class="line" href="multipath__dist__detection__mitigation_8c.html#a6530e8d8955c511d3452748fec987a39"> 108</a></span> <span class="keywordtype">void</span> <a class="code" href="multipath__dist__detection__mitigation_8c.html#a6530e8d8955c511d3452748fec987a39">get_optimal_partial_ref_matrix</a>(uint8_t anchors_num,</div>
+<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_matrix[anchors_num][3],</div>
+<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  uint8_t k,</div>
+<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  uint8_t optimal_anchors_comb[k],</div>
+<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> opt_partial_ref_matrix[k][3])</div>
+<div class="line"><a name="l00113"></a><span class="lineno"> 113</span> {</div>
+<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < k; i++) {</div>
+<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j < 3; j++) {</div>
+<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  opt_partial_ref_matrix[i][j] =</div>
+<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  ref_matrix[optimal_anchors_comb[i]][j];</div>
+<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  </div>
+<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  }</div>
+<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  }</div>
+<div class="line"><a name="l00121"></a><span class="lineno"> 121</span> }</div>
+<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  </div>
+<div class="line"><a name="l00123"></a><span class="lineno"><a class="line" href="multipath__dist__detection__mitigation_8c.html#a540837de8e8a9d4e5dbaac1814b19b5e"> 123</a></span> <span class="keywordtype">void</span> <a class="code" href="multipath__dist__detection__mitigation_8c.html#a540837de8e8a9d4e5dbaac1814b19b5e">get_optimal_partial_r_noised_vec</a>(uint8_t k, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> r_noised_vec[],</div>
+<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  uint8_t optimal_anchors_comb[k],</div>
+<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> opt_sub_r_noised_vec[k])</div>
+<div class="line"><a name="l00126"></a><span class="lineno"> 126</span> {</div>
+<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < k; i++) {</div>
+<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  opt_sub_r_noised_vec[i] = r_noised_vec[optimal_anchors_comb[i]];</div>
+<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  </div>
+<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  }</div>
+<div class="line"><a name="l00131"></a><span class="lineno"> 131</span> }</div>
+<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  </div>
+<div class="line"><a name="l00133"></a><span class="lineno"><a class="line" href="multipath__dist__detection__mitigation_8c.html#a8cce1ff9263404ca1e58d67910f38d47"> 133</a></span> <span class="keywordtype">void</span> <a class="code" href="multipath__dist__detection__mitigation_8c.html#a8cce1ff9263404ca1e58d67910f38d47">recog_mitigate_multipath</a>(uint8_t k, uint8_t m, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_matrix[m][3],</div>
+<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> noised_r_vec[m],</div>
+<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  uint8_t anchors_optimal_combi[k],</div>
+<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> start_optimal_pos[3])</div>
+<div class="line"><a name="l00137"></a><span class="lineno"> 137</span> {</div>
+<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  int8_t status_num;</div>
+<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  uint8_t combi_arr[k];</div>
+<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> r_vec[3];</div>
+<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> part_opt_ref_matrix[k][3];</div>
+<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> opt_part_r_noised_vec[k];</div>
+<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  uint8_t index_vector[k];</div>
+<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> qres_optimal = FLT_MAX;</div>
+<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> pos_solution_x1[4];</div>
+<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  </div>
+<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>  <span class="comment">// Initialize the combination generator</span></div>
+<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>  status_num = <a class="code" href="combinatorics_8c.html#a1bcaeef00a7027e9b9b7694da2efd1b9">combinatorics_init</a>(m, k, combi_arr);</div>
+<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  </div>
+<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>  <span class="keywordflow">if</span> (status_num == <a class="code" href="combinatorics_8h.html#a1249f9e7a382225c0889b8ef630d6509">COMBI_ERROR</a>) {</div>
+<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>  fprintf(stderr,</div>
+<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>  <span class="stringliteral">"Error: couldn't initialize the combination generator\n"</span>);</div>
+<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>  </div>
+<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>  <span class="keywordflow">return</span>;</div>
+<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  }</div>
+<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>  </div>
+<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  <span class="keywordflow">while</span> (status_num == <a class="code" href="combinatorics_8h.html#af92c32bbf9a391a055cb472b6f43c498">COMBI_SUCCESS</a>) {</div>
+<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  <a class="code" href="multipath__dist__detection__mitigation_8c.html#a6530e8d8955c511d3452748fec987a39">get_optimal_partial_ref_matrix</a>(m, ref_matrix, k, combi_arr,</div>
+<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  part_opt_ref_matrix);</div>
+<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  </div>
+<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>  <a class="code" href="multipath__dist__detection__mitigation_8c.html#a540837de8e8a9d4e5dbaac1814b19b5e">get_optimal_partial_r_noised_vec</a>(k, noised_r_vec, combi_arr,</div>
+<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  opt_part_r_noised_vec);</div>
+<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>  <span class="comment">// Trilateration</span></div>
+<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>  <a class="code" href="trilateration_8h.html#adf749802a4d86c2a97a6bac50d17bfea">trilateration2</a>(k, part_opt_ref_matrix, opt_part_r_noised_vec,</div>
+<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>  pos_solution_x1,</div>
+<div class="line"><a name="l00166"></a><span class="lineno"> 166</span>  NULL);</div>
+<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>  </div>
+<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> residual_vec[m];</div>
+<div class="line"><a name="l00169"></a><span class="lineno"> 169</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> residual_vec_copy[m];</div>
+<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>  </div>
+<div class="line"><a name="l00171"></a><span class="lineno"> 171</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < m; i++) {</div>
+<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>  </div>
+<div class="line"><a name="l00173"></a><span class="lineno"> 173</span>  <a class="code" href="vector_8h.html#a3bbd999b10064c2ede2bd427aa040b63">vector_sub</a>(3, pos_solution_x1 + 1, ref_matrix[i],</div>
+<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>  r_vec);</div>
+<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>  residual_vec[i] = <a class="code" href="vector_8h.html#a4cfc452fdff3e32a601ccff140cd9ae6">vector_get_norm2</a>(3, r_vec)</div>
+<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>  - noised_r_vec[i];</div>
+<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>  }</div>
+<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>  </div>
+<div class="line"><a name="l00179"></a><span class="lineno"> 179</span>  <a class="code" href="vector_8h.html#afc68fab0b07c974faf5a457d20b01c58">vector_square</a>(m, residual_vec, residual_vec);</div>
+<div class="line"><a name="l00180"></a><span class="lineno"> 180</span>  </div>
+<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>  <a class="code" href="vector_8h.html#ae9d3378f23ba835c727245b434b8a7f6">vector_copy</a>(m, residual_vec, residual_vec_copy);</div>
+<div class="line"><a name="l00182"></a><span class="lineno"> 182</span>  </div>
+<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>  <a class="code" href="shell__sort_8h.html#a569649d96b2e8f453793ea166d3e96a6">shell_sort</a>(residual_vec_copy, m);</div>
+<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>  </div>
+<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>  <span class="comment">// find index</span></div>
+<div class="line"><a name="l00186"></a><span class="lineno"> 186</span>  <a class="code" href="vector_8h.html#a45dfc0cdad1f1a542df4029b498766ba">vector_get_index_vector</a>(k, m, residual_vec, residual_vec_copy,</div>
+<div class="line"><a name="l00187"></a><span class="lineno"> 187</span>  index_vector);</div>
+<div class="line"><a name="l00188"></a><span class="lineno"> 188</span>  </div>
+<div class="line"><a name="l00189"></a><span class="lineno"> 189</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> res_vec_copy_sum = 0;</div>
+<div class="line"><a name="l00190"></a><span class="lineno"> 190</span>  </div>
+<div class="line"><a name="l00191"></a><span class="lineno"> 191</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < k; i++) {</div>
+<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>  res_vec_copy_sum = res_vec_copy_sum</div>
+<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>  + residual_vec_copy[i];</div>
+<div class="line"><a name="l00194"></a><span class="lineno"> 194</span>  }</div>
+<div class="line"><a name="l00195"></a><span class="lineno"> 195</span>  </div>
+<div class="line"><a name="l00196"></a><span class="lineno"> 196</span>  <span class="keywordflow">if</span> (res_vec_copy_sum <= qres_optimal) {</div>
+<div class="line"><a name="l00197"></a><span class="lineno"> 197</span>  qres_optimal = res_vec_copy_sum;</div>
+<div class="line"><a name="l00198"></a><span class="lineno"> 198</span>  memcpy(anchors_optimal_combi, index_vector,</div>
+<div class="line"><a name="l00199"></a><span class="lineno"> 199</span>  k * <span class="keyword">sizeof</span>(uint8_t));</div>
+<div class="line"><a name="l00200"></a><span class="lineno"> 200</span>  <a class="code" href="vector_8h.html#ae9d3378f23ba835c727245b434b8a7f6">vector_copy</a>(3, pos_solution_x1 + 1, start_optimal_pos);</div>
+<div class="line"><a name="l00201"></a><span class="lineno"> 201</span>  }</div>
+<div class="line"><a name="l00202"></a><span class="lineno"> 202</span>  status_num = <a class="code" href="combinatorics_8c.html#ae500ce949afe79089e8146eb1fb5cbb0">combinatorics_get_next_without_rep</a>(m, k,</div>
+<div class="line"><a name="l00203"></a><span class="lineno"> 203</span>  combi_arr);</div>
+<div class="line"><a name="l00204"></a><span class="lineno"> 204</span>  } <span class="comment">//while</span></div>
+<div class="line"><a name="l00205"></a><span class="lineno"> 205</span> }</div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="avector_8h_html_a4cfc452fdff3e32a601ccff140cd9ae6"><div class="ttname"><a href="vector_8h.html#a4cfc452fdff3e32a601ccff140cd9ae6">vector_get_norm2</a></div><div class="ttdeci">vector_t vector_get_norm2(uint8_t length, vector_t arr[])</div><div class="ttdoc">Compute the 2-norm norm of a vector.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00042">vector.c:42</a></div></div>
+<div class="ttc" id="atrilateration_8h_html"><div class="ttname"><a href="trilateration_8h.html">trilateration.h</a></div><div class="ttdoc">Implement the trilateration algorithm.</div></div>
+<div class="ttc" id="amultipath__dist__detection__mitigation_8c_html_a5609107d45b6abfa6614fc79c56273c8"><div class="ttname"><a href="multipath__dist__detection__mitigation_8c.html#a5609107d45b6abfa6614fc79c56273c8">is_member</a></div><div class="ttdeci">bool is_member(matrix_t vector, uint8_t n, matrix_t multipath[n])</div><div class="ttdoc">Determine if a candidate is a multipath or not.</div><div class="ttdef"><b>Definition:</b> <a href="multipath__dist__detection__mitigation_8c_source.html#l00055">multipath_dist_detection_mitigation.c:55</a></div></div>
+<div class="ttc" id="ashell__sort_8h_html_a569649d96b2e8f453793ea166d3e96a6"><div class="ttname"><a href="shell__sort_8h.html#a569649d96b2e8f453793ea166d3e96a6">shell_sort</a></div><div class="ttdeci">void shell_sort(vector_t *arr, uint8_t length)</div><div class="ttdoc">Sort a data set of type utils_t by using the Shell sort algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="shell__sort_8c_source.html#l00049">shell_sort.c:49</a></div></div>
+<div class="ttc" id="avector_8h_html_afc68fab0b07c974faf5a457d20b01c58"><div class="ttname"><a href="vector_8h.html#afc68fab0b07c974faf5a457d20b01c58">vector_square</a></div><div class="ttdeci">void vector_square(uint8_t n, vector_t vec[n], vector_t square_vec[n])</div><div class="ttdoc">Compute the square of a vector.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00124">vector.c:124</a></div></div>
+<div class="ttc" id="adist__based__position_8h_html"><div class="ttname"><a href="dist__based__position_8h.html">dist_based_position.h</a></div><div class="ttdoc">Functions of distance-based localization systems.</div></div>
+<div class="ttc" id="anorm__dist__rnd__generator_8h_html_a58c36346c01fb7f1a336a610b177b903"><div class="ttname"><a href="norm__dist__rnd__generator_8h.html#a58c36346c01fb7f1a336a610b177b903">get_rand_num</a></div><div class="ttdeci">double get_rand_num(int seed)</div><div class="ttdoc">Generate uniform (0.0, 1.0) random numbers by using the Linear Congruential Generator (LGC) algorithm...</div><div class="ttdef"><b>Definition:</b> <a href="norm__dist__rnd__generator_8c_source.html#l00080">norm_dist_rnd_generator.c:80</a></div></div>
+<div class="ttc" id="amultipath__dist__detection__mitigation_8h_html"><div class="ttname"><a href="multipath__dist__detection__mitigation_8h.html">multipath_dist_detection_mitigation.h</a></div><div class="ttdoc">Implement the Multipath Distance Detection and Mitigation (MDDM) algorithm.</div></div>
+<div class="ttc" id="avector_8h_html_a45dfc0cdad1f1a542df4029b498766ba"><div class="ttname"><a href="vector_8h.html#a45dfc0cdad1f1a542df4029b498766ba">vector_get_index_vector</a></div><div class="ttdeci">void vector_get_index_vector(uint8_t k, uint8_t n, vector_t unsorted_vector[n], vector_t sorted_vector[n], uint8_t index_vector[n])</div><div class="ttdoc">Determine the index of the vector elements before sorting.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00214">vector.c:214</a></div></div>
+<div class="ttc" id="amatrix_8h_html"><div class="ttname"><a href="matrix_8h.html">matrix.h</a></div><div class="ttdoc">Matrix computations.</div></div>
+<div class="ttc" id="amultipath__dist__detection__mitigation_8c_html_a8cce1ff9263404ca1e58d67910f38d47"><div class="ttname"><a href="multipath__dist__detection__mitigation_8c.html#a8cce1ff9263404ca1e58d67910f38d47">recog_mitigate_multipath</a></div><div class="ttdeci">void recog_mitigate_multipath(uint8_t k, uint8_t m, matrix_t ref_matrix[m][3], matrix_t noised_r_vec[m], uint8_t anchors_optimal_combi[k], matrix_t start_optimal_pos[3])</div><div class="ttdoc">Implement the Multipath Distance Detection and Mitigation (MDDM) algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="multipath__dist__detection__mitigation_8c_source.html#l00133">multipath_dist_detection_mitigation.c:133</a></div></div>
+<div class="ttc" id="amultipath__dist__detection__mitigation_8c_html_a38019260396a33562d5a1912c691c26a"><div class="ttname"><a href="multipath__dist__detection__mitigation_8c.html#a38019260396a33562d5a1912c691c26a">get_exact_distance_to_anchor</a></div><div class="ttdeci">matrix_t get_exact_distance_to_anchor(matrix_t ref_point[], uint32_t exact_point[])</div><div class="ttdoc">Computes the exact distance between a mobile station and a reference station.</div><div class="ttdef"><b>Definition:</b> <a href="multipath__dist__detection__mitigation_8c_source.html#l00042">multipath_dist_detection_mitigation.c:42</a></div></div>
+<div class="ttc" id="amultipath__dist__detection__mitigation_8c_html_a2776d1c18727f8feb5f0a83a6963e957"><div class="ttname"><a href="multipath__dist__detection__mitigation_8c.html#a2776d1c18727f8feb5f0a83a6963e957">sim_UWB_dist</a></div><div class="ttdeci">void sim_UWB_dist(uint8_t m, matrix_t ref_matrix[m][3], uint32_t exact_point[], matrix_t sigma, uint8_t n, matrix_t multipath[n], int seed, matrix_t r_noised_vec[])</div><div class="ttdoc">Simulate an UWB-based localization system.</div><div class="ttdef"><b>Definition:</b> <a href="multipath__dist__detection__mitigation_8c_source.html#l00078">multipath_dist_detection_mitigation.c:78</a></div></div>
+<div class="ttc" id="acombinatorics_8h_html_a1249f9e7a382225c0889b8ef630d6509"><div class="ttname"><a href="combinatorics_8h.html#a1249f9e7a382225c0889b8ef630d6509">COMBI_ERROR</a></div><div class="ttdeci">#define COMBI_ERROR</div><div class="ttdoc">Case of an error.</div><div class="ttdef"><b>Definition:</b> <a href="combinatorics_8h_source.html#l00031">combinatorics.h:31</a></div></div>
+<div class="ttc" id="acombinatorics_8h_html"><div class="ttname"><a href="combinatorics_8h.html">combinatorics.h</a></div><div class="ttdoc">Calculate possible without repetition in ascending order.</div></div>
+<div class="ttc" id="avector_8h_html_ae9d3378f23ba835c727245b434b8a7f6"><div class="ttname"><a href="vector_8h.html#ae9d3378f23ba835c727245b434b8a7f6">vector_copy</a></div><div class="ttdeci">void vector_copy(uint8_t size, vector_t src_arr[], vector_t dest_arr[])</div><div class="ttdoc">Copy the elements of the source vector to the destination vector.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00037">vector.c:37</a></div></div>
+<div class="ttc" id="anorm__dist__rnd__generator_8h_html_a35eb81d6885b8d16d225b230f88a919a"><div class="ttname"><a href="norm__dist__rnd__generator_8h.html#a35eb81d6885b8d16d225b230f88a919a">get_norm_distr_rand_num</a></div><div class="ttdeci">double get_norm_distr_rand_num(double mean, double std_dev)</div><div class="ttdoc">Get a normally distributed random number by applying the Box–Muller method.</div><div class="ttdef"><b>Definition:</b> <a href="norm__dist__rnd__generator_8c_source.html#l00040">norm_dist_rnd_generator.c:40</a></div></div>
+<div class="ttc" id="atrilateration_8h_html_adf749802a4d86c2a97a6bac50d17bfea"><div class="ttname"><a href="trilateration_8h.html#adf749802a4d86c2a97a6bac50d17bfea">trilateration2</a></div><div class="ttdeci">void trilateration2(uint8_t anchor_num, matrix_t anchor_pos_matrix[anchor_num][3], matrix_t dist_arr[], matrix_t solution_x1[], matrix_t solution_x2[])</div><div class="ttdoc">Implement the trilateration algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="trilateration_8c_source.html#l00069">trilateration.c:69</a></div></div>
+<div class="ttc" id="acombinatorics_8h_html_af92c32bbf9a391a055cb472b6f43c498"><div class="ttname"><a href="combinatorics_8h.html#af92c32bbf9a391a055cb472b6f43c498">COMBI_SUCCESS</a></div><div class="ttdeci">#define COMBI_SUCCESS</div><div class="ttdoc">Case of successfully calculated combination set.</div><div class="ttdef"><b>Definition:</b> <a href="combinatorics_8h_source.html#l00041">combinatorics.h:41</a></div></div>
+<div class="ttc" id="amatrix_8h_html_af38ac6b76d645fea9abd6caeb4d9dd31"><div class="ttname"><a href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a></div><div class="ttdeci">#define matrix_t</div><div class="ttdoc">Define the data type of the matrix elements.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8h_source.html#l00038">matrix.h:38</a></div></div>
+<div class="ttc" id="amultipath__dist__detection__mitigation_8c_html_a944bb181ffe0b3abc69e345ae88fbfc1"><div class="ttname"><a href="multipath__dist__detection__mitigation_8c.html#a944bb181ffe0b3abc69e345ae88fbfc1">is_anchor</a></div><div class="ttdeci">bool is_anchor(uint8_t m, matrix_t ref_matr[m][3], uint32_t point[3])</div><div class="ttdoc">Determine if a point is an anchor or not.</div><div class="ttdef"><b>Definition:</b> <a href="multipath__dist__detection__mitigation_8c_source.html#l00065">multipath_dist_detection_mitigation.c:65</a></div></div>
+<div class="ttc" id="avector_8h_html"><div class="ttname"><a href="vector_8h.html">vector.h</a></div><div class="ttdoc">Vector computations.</div></div>
+<div class="ttc" id="amultipath__dist__detection__mitigation_8c_html_a540837de8e8a9d4e5dbaac1814b19b5e"><div class="ttname"><a href="multipath__dist__detection__mitigation_8c.html#a540837de8e8a9d4e5dbaac1814b19b5e">get_optimal_partial_r_noised_vec</a></div><div class="ttdeci">void get_optimal_partial_r_noised_vec(uint8_t k, matrix_t r_noised_vec[], uint8_t optimal_anchors_comb[k], matrix_t opt_sub_r_noised_vec[k])</div><div class="ttdoc">Compute noised distances corresponding to the optimal partial matrix.</div><div class="ttdef"><b>Definition:</b> <a href="multipath__dist__detection__mitigation_8c_source.html#l00123">multipath_dist_detection_mitigation.c:123</a></div></div>
+<div class="ttc" id="anorm__dist__rnd__generator_8h_html"><div class="ttname"><a href="norm__dist__rnd__generator_8h.html">norm_dist_rnd_generator.h</a></div><div class="ttdoc">Generating normally distributed random numbers.</div></div>
+<div class="ttc" id="ashell__sort_8h_html"><div class="ttname"><a href="shell__sort_8h.html">shell_sort.h</a></div><div class="ttdoc">Implement the Shell sort algorithm.</div></div>
+<div class="ttc" id="acombinatorics_8c_html_a1bcaeef00a7027e9b9b7694da2efd1b9"><div class="ttname"><a href="combinatorics_8c.html#a1bcaeef00a7027e9b9b7694da2efd1b9">combinatorics_init</a></div><div class="ttdeci">uint8_t combinatorics_init(uint8_t n, uint8_t k, uint8_t comb_arr[])</div><div class="ttdoc">Initialize the combinations generator.</div><div class="ttdef"><b>Definition:</b> <a href="combinatorics_8c_source.html#l00029">combinatorics.c:29</a></div></div>
+<div class="ttc" id="aDOP_8h_html"><div class="ttname"><a href="DOP_8h.html">DOP.h</a></div><div class="ttdoc">Compute the Position Dilution of Precision (PDOP).</div></div>
+<div class="ttc" id="acombinatorics_8c_html_ae500ce949afe79089e8146eb1fb5cbb0"><div class="ttname"><a href="combinatorics_8c.html#ae500ce949afe79089e8146eb1fb5cbb0">combinatorics_get_next_without_rep</a></div><div class="ttdeci">uint8_t combinatorics_get_next_without_rep(uint8_t n, uint8_t k, uint8_t comb_arr[])</div><div class="ttdoc">Generate the next combination.</div><div class="ttdef"><b>Definition:</b> <a href="combinatorics_8c_source.html#l00048">combinatorics.c:48</a></div></div>
+<div class="ttc" id="amultipath__dist__detection__mitigation_8c_html_a6530e8d8955c511d3452748fec987a39"><div class="ttname"><a href="multipath__dist__detection__mitigation_8c.html#a6530e8d8955c511d3452748fec987a39">get_optimal_partial_ref_matrix</a></div><div class="ttdeci">void get_optimal_partial_ref_matrix(uint8_t anchors_num, matrix_t ref_matrix[anchors_num][3], uint8_t k, uint8_t optimal_anchors_comb[k], matrix_t opt_partial_ref_matrix[k][3])</div><div class="ttdoc">Compute the optimal partial matrix including reference points.</div><div class="ttdef"><b>Definition:</b> <a href="multipath__dist__detection__mitigation_8c_source.html#l00108">multipath_dist_detection_mitigation.c:108</a></div></div>
+<div class="ttc" id="avector_8h_html_a3bbd999b10064c2ede2bd427aa040b63"><div class="ttname"><a href="vector_8h.html#a3bbd999b10064c2ede2bd427aa040b63">vector_sub</a></div><div class="ttdeci">void vector_sub(uint8_t size, vector_t a_vec[], vector_t b_vec[], vector_t a_minus_b[])</div><div class="ttdoc">Compute the subtraction of two vectors.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00094">vector.c:94</a></div></div>
+<!-- start footer part -->
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+ <li class="navelem"><a class="el" href="dir_ca7b3fe3a5c68321cdadecc73cd5d1a0.html">localization</a></li><li class="navelem"><a class="el" href="dir_6b02df0bd0782e84dd3cd412549b0acc.html">position_optimization</a></li><li class="navelem"><a class="el" href="multipath__dist__detection__mitigation_8c.html">multipath_dist_detection_mitigation.c</a></li>
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+<div class="header">
+ <div class="summary">
+<a href="#func-members">Functions</a> </div>
+ <div class="headertitle">
+<div class="title">multipath_dist_detection_mitigation.h File Reference<div class="ingroups"><a class="el" href="group__localization.html">LOCALIZATION</a> » <a class="el" href="group__position__optimization.html">POSITION_OPTIMIZATION</a></div></div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Implement the Multipath Distance Detection and Mitigation (MDDM) algorithm.
+<a href="#details">More...</a></p>
+<div class="textblock"><code>#include <inttypes.h></code><br />
+<code>#include "<a class="el" href="matrix_8h_source.html">matrix.h</a>"</code><br />
+</div>
+<p><a href="multipath__dist__detection__mitigation_8h_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a38019260396a33562d5a1912c691c26a"><td class="memItemLeft" align="right" valign="top"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="multipath__dist__detection__mitigation_8h.html#a38019260396a33562d5a1912c691c26a">get_exact_distance_to_anchor</a> (<a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point[], uint32_t exact_point[])</td></tr>
+<tr class="memdesc:a38019260396a33562d5a1912c691c26a"><td class="mdescLeft"> </td><td class="mdescRight">Computes the exact distance between a mobile station and a reference station. <a href="multipath__dist__detection__mitigation_8h.html#a38019260396a33562d5a1912c691c26a">More...</a><br /></td></tr>
+<tr class="separator:a38019260396a33562d5a1912c691c26a"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a5609107d45b6abfa6614fc79c56273c8"><td class="memItemLeft" align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="multipath__dist__detection__mitigation_8h.html#a5609107d45b6abfa6614fc79c56273c8">is_member</a> (<a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> vector, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> multipath[n])</td></tr>
+<tr class="memdesc:a5609107d45b6abfa6614fc79c56273c8"><td class="mdescLeft"> </td><td class="mdescRight">Determine if a candidate is a multipath or not. <a href="multipath__dist__detection__mitigation_8h.html#a5609107d45b6abfa6614fc79c56273c8">More...</a><br /></td></tr>
+<tr class="separator:a5609107d45b6abfa6614fc79c56273c8"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a944bb181ffe0b3abc69e345ae88fbfc1"><td class="memItemLeft" align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="multipath__dist__detection__mitigation_8h.html#a944bb181ffe0b3abc69e345ae88fbfc1">is_anchor</a> (uint8_t m, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_matr[m][3], uint32_t point[3])</td></tr>
+<tr class="memdesc:a944bb181ffe0b3abc69e345ae88fbfc1"><td class="mdescLeft"> </td><td class="mdescRight">Determine if a point is an anchor or not. <a href="multipath__dist__detection__mitigation_8h.html#a944bb181ffe0b3abc69e345ae88fbfc1">More...</a><br /></td></tr>
+<tr class="separator:a944bb181ffe0b3abc69e345ae88fbfc1"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a2776d1c18727f8feb5f0a83a6963e957"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="multipath__dist__detection__mitigation_8h.html#a2776d1c18727f8feb5f0a83a6963e957">sim_UWB_dist</a> (uint8_t m, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_matrix[m][3], uint32_t exact_point[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> sigma, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> multipath[n], int seed, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> r_noised_vec[])</td></tr>
+<tr class="memdesc:a2776d1c18727f8feb5f0a83a6963e957"><td class="mdescLeft"> </td><td class="mdescRight">Simulate an UWB-based localization system. <a href="multipath__dist__detection__mitigation_8h.html#a2776d1c18727f8feb5f0a83a6963e957">More...</a><br /></td></tr>
+<tr class="separator:a2776d1c18727f8feb5f0a83a6963e957"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a6530e8d8955c511d3452748fec987a39"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="multipath__dist__detection__mitigation_8h.html#a6530e8d8955c511d3452748fec987a39">get_optimal_partial_ref_matrix</a> (uint8_t anchors_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_matrix[anchors_num][3], uint8_t k, uint8_t optimal_anchors_comb[k], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> opt_partial_ref_matrix[k][3])</td></tr>
+<tr class="memdesc:a6530e8d8955c511d3452748fec987a39"><td class="mdescLeft"> </td><td class="mdescRight">Compute the optimal partial matrix including reference points. <a href="multipath__dist__detection__mitigation_8h.html#a6530e8d8955c511d3452748fec987a39">More...</a><br /></td></tr>
+<tr class="separator:a6530e8d8955c511d3452748fec987a39"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a540837de8e8a9d4e5dbaac1814b19b5e"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="multipath__dist__detection__mitigation_8h.html#a540837de8e8a9d4e5dbaac1814b19b5e">get_optimal_partial_r_noised_vec</a> (uint8_t k, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> r_noised_vec[], uint8_t optimal_anchors_comb[k], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> opt_sub_r_noised_vec[k])</td></tr>
+<tr class="memdesc:a540837de8e8a9d4e5dbaac1814b19b5e"><td class="mdescLeft"> </td><td class="mdescRight">Compute noised distances corresponding to the optimal partial matrix. <a href="multipath__dist__detection__mitigation_8h.html#a540837de8e8a9d4e5dbaac1814b19b5e">More...</a><br /></td></tr>
+<tr class="separator:a540837de8e8a9d4e5dbaac1814b19b5e"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a2840a12d90b5b26b59d50f449f754fbd"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="multipath__dist__detection__mitigation_8h.html#a2840a12d90b5b26b59d50f449f754fbd">recog_mitigate_multipath</a> (uint8_t k, uint8_t m, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_Matrix[m][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> r_noised_vec[m], uint8_t anchors_optimal[k], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> start_optimal[3])</td></tr>
+<tr class="memdesc:a2840a12d90b5b26b59d50f449f754fbd"><td class="mdescLeft"> </td><td class="mdescRight">Implement the Multipath Distance Detection and Mitigation (MDDM) algorithm. <a href="multipath__dist__detection__mitigation_8h.html#a2840a12d90b5b26b59d50f449f754fbd">More...</a><br /></td></tr>
+<tr class="separator:a2840a12d90b5b26b59d50f449f754fbd"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Implement the Multipath Distance Detection and Mitigation (MDDM) algorithm. </p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd>
+<dd>
+Abdelmoumen Norrdine <a href="#" onclick="location.href='mai'+'lto:'+'a.n'+'or'+'rdi'+'ne'+'@go'+'og'+'lem'+'ai'+'l.c'+'om'; return false;">a.nor<span style="display: none;">.nosp@m.</span>rdin<span style="display: none;">.nosp@m.</span>e@goo<span style="display: none;">.nosp@m.</span>glem<span style="display: none;">.nosp@m.</span>ail.c<span style="display: none;">.nosp@m.</span>om</a> </dd>
+<dd>
+Naouar Guerchali </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="multipath__dist__detection__mitigation_8h_source.html">multipath_dist_detection_mitigation.h</a>.</p>
+</div><h2 class="groupheader">Function Documentation</h2>
+<a id="a38019260396a33562d5a1912c691c26a"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a38019260396a33562d5a1912c691c26a">◆ </a></span>get_exact_distance_to_anchor()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> get_exact_distance_to_anchor </td>
+ <td>(</td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>ref_point</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint32_t </td>
+ <td class="paramname"><em>exact_point</em>[] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Computes the exact distance between a mobile station and a reference station. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">ref_point</td><td>three-dimensional coordinates of a reference station. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">exact_point</td><td>three-dimensional coordinates of the mobile device.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the exact distance between the mobile station and the reference station. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="multipath__dist__detection__mitigation_8c_source.html#l00042">42</a> of file <a class="el" href="multipath__dist__detection__mitigation_8c_source.html">multipath_dist_detection_mitigation.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="multipath__dist__detection__mitigation_8c_source.html#l00078">sim_UWB_dist()</a>.</p>
+
+</div>
+</div>
+<a id="a540837de8e8a9d4e5dbaac1814b19b5e"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a540837de8e8a9d4e5dbaac1814b19b5e">◆ </a></span>get_optimal_partial_r_noised_vec()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void get_optimal_partial_r_noised_vec </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>k</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>r_noised_vec</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>optimal_anchors_comb</em>[k], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>opt_sub_r_noised_vec</em>[k] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute noised distances corresponding to the optimal partial matrix. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">k</td><td>k anchors (possible sub-experiments). </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">r_noised_vec[]</td><td>include noised distances. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">optimal_anchors_comb[]</td><td>optimal k-anchor combination. </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">opt_sub_r_noised_vec[][]</td><td>noised distances corresponding to the optimal k-anchors. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="multipath__dist__detection__mitigation_8c_source.html#l00123">123</a> of file <a class="el" href="multipath__dist__detection__mitigation_8c_source.html">multipath_dist_detection_mitigation.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="multipath__algo__own__norm__distr__test_8c_source.html#l00038">multipath_algo_own_norm_distr_test()</a>, and <a class="el" href="multipath__dist__detection__mitigation_8c_source.html#l00133">recog_mitigate_multipath()</a>.</p>
+
+</div>
+</div>
+<a id="a6530e8d8955c511d3452748fec987a39"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a6530e8d8955c511d3452748fec987a39">◆ </a></span>get_optimal_partial_ref_matrix()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void get_optimal_partial_ref_matrix </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>anchors_num</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>ref_matrix</em>[anchors_num][3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>k</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>optimal_anchors_comb</em>[k], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>opt_partial_ref_matrix</em>[k][3] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute the optimal partial matrix including reference points. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">anchors_num</td><td>number of the reference points. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">ref_matrix[][]</td><td>three-dimensional coordinates of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">k</td><td>k anchors (possible sub-experiments). </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">optimal_anchors_comb[]</td><td>optimal anchor combination. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">opt_partial_ref_matrix[][]</td><td>optimal partial matrix of anchors. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="multipath__dist__detection__mitigation_8c_source.html#l00108">108</a> of file <a class="el" href="multipath__dist__detection__mitigation_8c_source.html">multipath_dist_detection_mitigation.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="multipath__algo__own__norm__distr__test_8c_source.html#l00038">multipath_algo_own_norm_distr_test()</a>, and <a class="el" href="multipath__dist__detection__mitigation_8c_source.html#l00133">recog_mitigate_multipath()</a>.</p>
+
+</div>
+</div>
+<a id="a944bb181ffe0b3abc69e345ae88fbfc1"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a944bb181ffe0b3abc69e345ae88fbfc1">◆ </a></span>is_anchor()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">bool is_anchor </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>ref_matr</em>[m][3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint32_t </td>
+ <td class="paramname"><em>point</em>[3] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Determine if a point is an anchor or not. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>number of the reference points. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">ref_matr[][]</td><td>three-dimensional coordinates of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">point[]</td><td>three-dimensional coordinates of a point.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>true, if a point is an anchor. </dd>
+<dd>
+false, if not. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="multipath__dist__detection__mitigation_8c_source.html#l00065">65</a> of file <a class="el" href="multipath__dist__detection__mitigation_8c_source.html">multipath_dist_detection_mitigation.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="multipath__algo__own__norm__distr__test_8c_source.html#l00038">multipath_algo_own_norm_distr_test()</a>.</p>
+
+</div>
+</div>
+<a id="a5609107d45b6abfa6614fc79c56273c8"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a5609107d45b6abfa6614fc79c56273c8">◆ </a></span>is_member()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">bool is_member </td>
+ <td>(</td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>vector</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>multipath</em>[n] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Determine if a candidate is a multipath or not. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">vector</td><td>a candidate. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>size of the multipath-vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">multipath[]</td><td>pointer to the multipath-vector.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>true, if a candidate is a multipath. </dd>
+<dd>
+false, if not. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="multipath__dist__detection__mitigation_8c_source.html#l00055">55</a> of file <a class="el" href="multipath__dist__detection__mitigation_8c_source.html">multipath_dist_detection_mitigation.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="multipath__dist__detection__mitigation_8c_source.html#l00078">sim_UWB_dist()</a>.</p>
+
+</div>
+</div>
+<a id="a2840a12d90b5b26b59d50f449f754fbd"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a2840a12d90b5b26b59d50f449f754fbd">◆ </a></span>recog_mitigate_multipath()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void recog_mitigate_multipath </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>k</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>ref_Matrix</em>[m][3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>r_noised_vec</em>[m], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>anchors_optimal</em>[k], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>start_optimal</em>[3] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Implement the Multipath Distance Detection and Mitigation (MDDM) algorithm. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">k</td><td>k anchors (possible sub-experiments). </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>number of anchors. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">ref_Matrix[][]</td><td>three-dimensional coordinates of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">r_noised_vec[]</td><td>include noised distances. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">anchors_optimal[]</td><td>optimal k-anchor combination. </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">start_optimal[]</td><td>optimal position. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="multipath__dist__detection__mitigation_8c_source.html#l00133">133</a> of file <a class="el" href="multipath__dist__detection__mitigation_8c_source.html">multipath_dist_detection_mitigation.c</a>.</p>
+
+<p class="reference">References <a class="el" href="combinatorics_8h_source.html#l00031">COMBI_ERROR</a>, <a class="el" href="combinatorics_8h_source.html#l00041">COMBI_SUCCESS</a>, <a class="el" href="combinatorics_8c_source.html#l00048">combinatorics_get_next_without_rep()</a>, <a class="el" href="combinatorics_8c_source.html#l00029">combinatorics_init()</a>, <a class="el" href="multipath__dist__detection__mitigation_8c_source.html#l00123">get_optimal_partial_r_noised_vec()</a>, <a class="el" href="multipath__dist__detection__mitigation_8c_source.html#l00108">get_optimal_partial_ref_matrix()</a>, <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>, <a class="el" href="shell__sort_8c_source.html#l00049">shell_sort()</a>, <a class="el" href="trilateration_8c_source.html#l00069">trilateration2()</a>, <a class="el" href="vector_8c_source.html#l00037">vector_copy()</a>, <a class="el" href="vector_8c_source.html#l00214">vector_get_index_vector()</a>, <a class="el" href="vector_8c_source.html#l00042">vector_get_norm2()</a>, <a class="el" href="vector_8c_source.html#l00124">vector_square()</a>, and <a class="el" href="vector_8c_source.html#l00094">vector_sub()</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="multipath__algo__own__norm__distr__test_8c_source.html#l00038">multipath_algo_own_norm_distr_test()</a>.</p>
+
+</div>
+</div>
+<a id="a2776d1c18727f8feb5f0a83a6963e957"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a2776d1c18727f8feb5f0a83a6963e957">◆ </a></span>sim_UWB_dist()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void sim_UWB_dist </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>ref_matrix</em>[m][3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint32_t </td>
+ <td class="paramname"><em>exact_point</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>sigma</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>multipath</em>[n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">int </td>
+ <td class="paramname"><em>seed</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>r_noised_vec</em>[] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Simulate an UWB-based localization system. </p>
+<p>The UWB system is simulated by noising the distances from a mobile to the reference station.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>number of the reference points. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">ref_matrix[][]</td><td>three-dimensional coordinates of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">exact_point[]</td><td>three-dimensional coordinates of a true position. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">sigma</td><td><img class="formulaInl" alt="$ \sigma_{M,W} $" src="form_60.png"/> parameter. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>number of the multipath-affected distances. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">multipath[]</td><td>multipath vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">seed</td><td>seed value. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">r_noised_vec[]</td><td>noised distances. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="multipath__dist__detection__mitigation_8c_source.html#l00078">78</a> of file <a class="el" href="multipath__dist__detection__mitigation_8c_source.html">multipath_dist_detection_mitigation.c</a>.</p>
+
+<p class="reference">References <a class="el" href="multipath__dist__detection__mitigation_8c_source.html#l00042">get_exact_distance_to_anchor()</a>, <a class="el" href="norm__dist__rnd__generator_8c_source.html#l00040">get_norm_distr_rand_num()</a>, <a class="el" href="norm__dist__rnd__generator_8c_source.html#l00080">get_rand_num()</a>, <a class="el" href="multipath__dist__detection__mitigation_8c_source.html#l00055">is_member()</a>, and <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="multipath__algo__own__norm__distr__test_8c_source.html#l00038">multipath_algo_own_norm_distr_test()</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="navelem"><a class="el" href="dir_ca7b3fe3a5c68321cdadecc73cd5d1a0.html">localization</a></li><li class="navelem"><a class="el" href="dir_6b02df0bd0782e84dd3cd412549b0acc.html">position_optimization</a></li><li class="navelem"><a class="el" href="dir_05fcd006305b35cd419f9fa0533f5c7b.html">include</a></li><li class="navelem"><a class="el" href="multipath__dist__detection__mitigation_8h.html">multipath_dist_detection_mitigation.h</a></li>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
+ </ul>
+</div>
+</body>
+</html>
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@@ -0,0 +1,10 @@
+var multipath__dist__detection__mitigation_8h =
+[
+ [ "get_exact_distance_to_anchor", "multipath__dist__detection__mitigation_8h.html#a38019260396a33562d5a1912c691c26a", null ],
+ [ "get_optimal_partial_r_noised_vec", "multipath__dist__detection__mitigation_8h.html#a540837de8e8a9d4e5dbaac1814b19b5e", null ],
+ [ "get_optimal_partial_ref_matrix", "multipath__dist__detection__mitigation_8h.html#a6530e8d8955c511d3452748fec987a39", null ],
+ [ "is_anchor", "multipath__dist__detection__mitigation_8h.html#a944bb181ffe0b3abc69e345ae88fbfc1", null ],
+ [ "is_member", "multipath__dist__detection__mitigation_8h.html#a5609107d45b6abfa6614fc79c56273c8", null ],
+ [ "recog_mitigate_multipath", "multipath__dist__detection__mitigation_8h.html#a2840a12d90b5b26b59d50f449f754fbd", null ],
+ [ "sim_UWB_dist", "multipath__dist__detection__mitigation_8h.html#a2776d1c18727f8feb5f0a83a6963e957", null ]
+];
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+<!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">
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+<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 1.8.16"/>
+<meta name="viewport" content="width=device-width, initial-scale=1"/>
+<title>RcdMathLib_doc: multipath_dist_detection_mitigation.h Source File</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
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+<script type="text/javascript">
+/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&dn=gpl-2.0.txt GPL-v2 */
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+/* @license-end */</script>
+<link href="search/search.css" rel="stylesheet" type="text/css"/>
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+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+ <td id="projectalign" style="padding-left: 0.5em;">
+ <div id="projectname">RcdMathLib_doc
+ </div>
+ <div id="projectbrief">Open Source Library for Linear and Non-linear Algebra</div>
+ </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.16 -->
+<script type="text/javascript">
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+/* @license-end */
+</script>
+<script type="text/javascript" src="menudata.js"></script>
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+/* @license-end */
+</script>
+<div id="doc-content">
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+ onmouseover="return searchBox.OnSearchSelectShow()"
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+ name="MSearchResults" id="MSearchResults">
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+</div>
+
+<div class="header">
+ <div class="headertitle">
+<div class="title">multipath_dist_detection_mitigation.h</div> </div>
+</div><!--header-->
+<div class="contents">
+<a href="multipath__dist__detection__mitigation_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#ifndef POSITIONING_ROBUST_OTF_H_</span></div>
+<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="preprocessor">#define POSITIONING_ROBUST_OTF_H_</span></div>
+<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>  </div>
+<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="preprocessor">#include <inttypes.h></span></div>
+<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>  </div>
+<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="preprocessor">#include "<a class="code" href="matrix_8h.html">matrix.h</a>"</span></div>
+<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  </div>
+<div class="line"><a name="l00041"></a><span class="lineno"> 41</span> <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> <a class="code" href="multipath__dist__detection__mitigation_8h.html#a38019260396a33562d5a1912c691c26a">get_exact_distance_to_anchor</a>(<a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point[],</div>
+<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  uint32_t exact_point[]);</div>
+<div class="line"><a name="l00054"></a><span class="lineno"> 54</span> <span class="keywordtype">bool</span> <a class="code" href="multipath__dist__detection__mitigation_8h.html#a5609107d45b6abfa6614fc79c56273c8">is_member</a>(<a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> vector, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> multipath[n]);</div>
+<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  </div>
+<div class="line"><a name="l00066"></a><span class="lineno"> 66</span> <span class="keywordtype">bool</span> <a class="code" href="multipath__dist__detection__mitigation_8h.html#a944bb181ffe0b3abc69e345ae88fbfc1">is_anchor</a>(uint8_t m, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_matr[m][3], uint32_t point[3]);</div>
+<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  </div>
+<div class="line"><a name="l00083"></a><span class="lineno"> 83</span> <span class="keywordtype">void</span> <a class="code" href="multipath__dist__detection__mitigation_8h.html#a2776d1c18727f8feb5f0a83a6963e957">sim_UWB_dist</a>(uint8_t m, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_matrix[m][3], uint32_t exact_point[],</div>
+<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> sigma, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> multipath[n], <span class="keywordtype">int</span> seed,</div>
+<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> r_noised_vec[]);</div>
+<div class="line"><a name="l00096"></a><span class="lineno"> 96</span> <span class="keywordtype">void</span> <a class="code" href="multipath__dist__detection__mitigation_8h.html#a6530e8d8955c511d3452748fec987a39">get_optimal_partial_ref_matrix</a>(uint8_t anchors_num,</div>
+<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_matrix[anchors_num][3],</div>
+<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  uint8_t k, uint8_t optimal_anchors_comb[k],</div>
+<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> opt_partial_ref_matrix[k][3]);</div>
+<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  </div>
+<div class="line"><a name="l00111"></a><span class="lineno"> 111</span> <span class="keywordtype">void</span> <a class="code" href="multipath__dist__detection__mitigation_8h.html#a540837de8e8a9d4e5dbaac1814b19b5e">get_optimal_partial_r_noised_vec</a>(uint8_t k, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> r_noised_vec[],</div>
+<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  uint8_t optimal_anchors_comb[k],</div>
+<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> opt_sub_r_noised_vec[k]);</div>
+<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  </div>
+<div class="line"><a name="l00126"></a><span class="lineno"> 126</span> <span class="keywordtype">void</span> <a class="code" href="multipath__dist__detection__mitigation_8h.html#a2840a12d90b5b26b59d50f449f754fbd">recog_mitigate_multipath</a>(uint8_t k, uint8_t m, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_Matrix[m][3],</div>
+<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> r_noised_vec[m],</div>
+<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  uint8_t anchors_optimal[k],</div>
+<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> start_optimal[3]);</div>
+<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  </div>
+<div class="line"><a name="l00131"></a><span class="lineno"> 131</span> <span class="preprocessor">#endif </span><span class="comment">/* POSITIONING_ROBUST_OTF_H_ */</span><span class="preprocessor"></span></div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="amultipath__dist__detection__mitigation_8h_html_a944bb181ffe0b3abc69e345ae88fbfc1"><div class="ttname"><a href="multipath__dist__detection__mitigation_8h.html#a944bb181ffe0b3abc69e345ae88fbfc1">is_anchor</a></div><div class="ttdeci">bool is_anchor(uint8_t m, matrix_t ref_matr[m][3], uint32_t point[3])</div><div class="ttdoc">Determine if a point is an anchor or not.</div><div class="ttdef"><b>Definition:</b> <a href="multipath__dist__detection__mitigation_8c_source.html#l00065">multipath_dist_detection_mitigation.c:65</a></div></div>
+<div class="ttc" id="amultipath__dist__detection__mitigation_8h_html_a540837de8e8a9d4e5dbaac1814b19b5e"><div class="ttname"><a href="multipath__dist__detection__mitigation_8h.html#a540837de8e8a9d4e5dbaac1814b19b5e">get_optimal_partial_r_noised_vec</a></div><div class="ttdeci">void get_optimal_partial_r_noised_vec(uint8_t k, matrix_t r_noised_vec[], uint8_t optimal_anchors_comb[k], matrix_t opt_sub_r_noised_vec[k])</div><div class="ttdoc">Compute noised distances corresponding to the optimal partial matrix.</div><div class="ttdef"><b>Definition:</b> <a href="multipath__dist__detection__mitigation_8c_source.html#l00123">multipath_dist_detection_mitigation.c:123</a></div></div>
+<div class="ttc" id="amultipath__dist__detection__mitigation_8h_html_a2840a12d90b5b26b59d50f449f754fbd"><div class="ttname"><a href="multipath__dist__detection__mitigation_8h.html#a2840a12d90b5b26b59d50f449f754fbd">recog_mitigate_multipath</a></div><div class="ttdeci">void recog_mitigate_multipath(uint8_t k, uint8_t m, matrix_t ref_Matrix[m][3], matrix_t r_noised_vec[m], uint8_t anchors_optimal[k], matrix_t start_optimal[3])</div><div class="ttdoc">Implement the Multipath Distance Detection and Mitigation (MDDM) algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="multipath__dist__detection__mitigation_8c_source.html#l00133">multipath_dist_detection_mitigation.c:133</a></div></div>
+<div class="ttc" id="amultipath__dist__detection__mitigation_8h_html_a38019260396a33562d5a1912c691c26a"><div class="ttname"><a href="multipath__dist__detection__mitigation_8h.html#a38019260396a33562d5a1912c691c26a">get_exact_distance_to_anchor</a></div><div class="ttdeci">matrix_t get_exact_distance_to_anchor(matrix_t ref_point[], uint32_t exact_point[])</div><div class="ttdoc">Computes the exact distance between a mobile station and a reference station.</div><div class="ttdef"><b>Definition:</b> <a href="multipath__dist__detection__mitigation_8c_source.html#l00042">multipath_dist_detection_mitigation.c:42</a></div></div>
+<div class="ttc" id="amatrix_8h_html"><div class="ttname"><a href="matrix_8h.html">matrix.h</a></div><div class="ttdoc">Matrix computations.</div></div>
+<div class="ttc" id="amultipath__dist__detection__mitigation_8h_html_a6530e8d8955c511d3452748fec987a39"><div class="ttname"><a href="multipath__dist__detection__mitigation_8h.html#a6530e8d8955c511d3452748fec987a39">get_optimal_partial_ref_matrix</a></div><div class="ttdeci">void get_optimal_partial_ref_matrix(uint8_t anchors_num, matrix_t ref_matrix[anchors_num][3], uint8_t k, uint8_t optimal_anchors_comb[k], matrix_t opt_partial_ref_matrix[k][3])</div><div class="ttdoc">Compute the optimal partial matrix including reference points.</div><div class="ttdef"><b>Definition:</b> <a href="multipath__dist__detection__mitigation_8c_source.html#l00108">multipath_dist_detection_mitigation.c:108</a></div></div>
+<div class="ttc" id="amultipath__dist__detection__mitigation_8h_html_a5609107d45b6abfa6614fc79c56273c8"><div class="ttname"><a href="multipath__dist__detection__mitigation_8h.html#a5609107d45b6abfa6614fc79c56273c8">is_member</a></div><div class="ttdeci">bool is_member(matrix_t vector, uint8_t n, matrix_t multipath[n])</div><div class="ttdoc">Determine if a candidate is a multipath or not.</div><div class="ttdef"><b>Definition:</b> <a href="multipath__dist__detection__mitigation_8c_source.html#l00055">multipath_dist_detection_mitigation.c:55</a></div></div>
+<div class="ttc" id="amatrix_8h_html_af38ac6b76d645fea9abd6caeb4d9dd31"><div class="ttname"><a href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a></div><div class="ttdeci">#define matrix_t</div><div class="ttdoc">Define the data type of the matrix elements.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8h_source.html#l00038">matrix.h:38</a></div></div>
+<div class="ttc" id="amultipath__dist__detection__mitigation_8h_html_a2776d1c18727f8feb5f0a83a6963e957"><div class="ttname"><a href="multipath__dist__detection__mitigation_8h.html#a2776d1c18727f8feb5f0a83a6963e957">sim_UWB_dist</a></div><div class="ttdeci">void sim_UWB_dist(uint8_t m, matrix_t ref_matrix[m][3], uint32_t exact_point[], matrix_t sigma, uint8_t n, matrix_t multipath[n], int seed, matrix_t r_noised_vec[])</div><div class="ttdoc">Simulate an UWB-based localization system.</div><div class="ttdef"><b>Definition:</b> <a href="multipath__dist__detection__mitigation_8c_source.html#l00078">multipath_dist_detection_mitigation.c:78</a></div></div>
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+/*
+ @licstart The following is the entire license notice for the
+ JavaScript code in this file.
+
+ Copyright (C) 1997-2019 by Dimitri van Heesch
+
+ This program is free software; you can redistribute it and/or modify
+ it under the terms of version 2 of the GNU General Public License as
+ published by the Free Software Foundation.
+
+ This program is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ GNU General Public License for more details.
+
+ You should have received a copy of the GNU General Public License along
+ with this program; if not, write to the Free Software Foundation, Inc.,
+ 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
+
+ @licend The above is the entire license notice
+ for the JavaScript code in this file
+ */
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+}
+
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+{
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+}
+
+function stripPath2(uri)
+{
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+ var s = uri.substring(i+1);
+ var m = uri.substring(0,i+1).match(/\/d\w\/d\w\w\/$/);
+ return m ? uri.substring(i-6) : s;
+}
+
+function hashValue()
+{
+ return $(location).attr('hash').substring(1).replace(/[^\w\-]/g,'');
+}
+
+function hashUrl()
+{
+ return '#'+hashValue();
+}
+
+function pathName()
+{
+ return $(location).attr('pathname').replace(/[^-A-Za-z0-9+&@#/%?=~_|!:,.;\(\)]/g, '');
+}
+
+function localStorageSupported()
+{
+ try {
+ return 'localStorage' in window && window['localStorage'] !== null && window.localStorage.getItem;
+ }
+ catch(e) {
+ return false;
+ }
+}
+
+function storeLink(link)
+{
+ if (!$("#nav-sync").hasClass('sync') && localStorageSupported()) {
+ window.localStorage.setItem('navpath',link);
+ }
+}
+
+function deleteLink()
+{
+ if (localStorageSupported()) {
+ window.localStorage.setItem('navpath','');
+ }
+}
+
+function cachedLink()
+{
+ if (localStorageSupported()) {
+ return window.localStorage.getItem('navpath');
+ } else {
+ return '';
+ }
+}
+
+function getScript(scriptName,func,show)
+{
+ var head = document.getElementsByTagName("head")[0];
+ var script = document.createElement('script');
+ script.id = scriptName;
+ script.type = 'text/javascript';
+ script.onload = func;
+ script.src = scriptName+'.js';
+ head.appendChild(script);
+}
+
+function createIndent(o,domNode,node,level)
+{
+ var level=-1;
+ var n = node;
+ while (n.parentNode) { level++; n=n.parentNode; }
+ if (node.childrenData) {
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+ imgNode.className = 'arrow';
+ imgNode.style.paddingLeft=(16*level).toString()+'px';
+ imgNode.innerHTML=arrowRight;
+ node.plus_img = imgNode;
+ node.expandToggle = document.createElement("a");
+ node.expandToggle.href = "javascript:void(0)";
+ node.expandToggle.onclick = function() {
+ if (node.expanded) {
+ $(node.getChildrenUL()).slideUp("fast");
+ node.plus_img.innerHTML=arrowRight;
+ node.expanded = false;
+ } else {
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+ domNode.appendChild(node.expandToggle);
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+ span.innerHTML = ' ';
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+ }
+}
+
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+
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+{
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+ var ancParent = $(anchor.parent());
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+ ancParent.hasClass('memtitle') ||
+ ancParent.hasClass('fieldname') ||
+ ancParent.hasClass('fieldtype') ||
+ ancParent.is(':header'))
+ {
+ pos = ancParent.position().top;
+ } else if (anchor.position()) {
+ pos = anchor.position().top;
+ }
+ if (pos) {
+ var dist = Math.abs(Math.min(
+ pos-docContent.offset().top,
+ docContent[0].scrollHeight-
+ docContent.height()-docContent.scrollTop()));
+ animationInProgress=true;
+ docContent.animate({
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+ animationInProgress=false;
+ });
+ }
+}
+
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+{
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+ node.depth = po.depth + 1;
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+ node.itemDiv.appendChild(node.labelSpan);
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+ node.label = document.createTextNode(text);
+ node.expanded = false;
+ a.appendChild(node.label);
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+ var url;
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+ link = url;
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+ }
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+ if (link.indexOf('#')!=-1) {
+ var aname = '#'+link.split('#')[1];
+ var srcPage = stripPath(pathName());
+ var targetPage = stripPath(link.split('#')[0]);
+ a.href = srcPage!=targetPage ? url : "javascript:void(0)";
+ a.onclick = function(){
+ storeLink(link);
+ if (!$(a).parent().parent().hasClass('selected'))
+ {
+ $('.item').removeClass('selected');
+ $('.item').removeAttr('id');
+ $(a).parent().parent().addClass('selected');
+ $(a).parent().parent().attr('id','selected');
+ }
+ var anchor = $(aname);
+ gotoAnchor(anchor,aname,true);
+ };
+ } else {
+ a.href = url;
+ a.onclick = function() { storeLink(link); }
+ }
+ } else {
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+ {
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+}
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+}
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+}
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diff --git a/doc/doxygen/html/navtreedata.js b/doc/doxygen/html/navtreedata.js
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index 0000000000000000000000000000000000000000..82838139edf3871a1865301e802f3cc7c410de37
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+the Free Software Foundation
+
+This program is distributed in the hope that it will be useful,
+but WITHOUT ANY WARRANTY; without even the implied warranty of
+MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+GNU General Public License for more details.
+
+You should have received a copy of the GNU General Public License along
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+
+<div class="header">
+ <div class="summary">
+<a href="#func-members">Functions</a> </div>
+ <div class="headertitle">
+<div class="title">newton_raphson.c File Reference</div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Implement the Newton–Raphson algorithm.
+<a href="#details">More...</a></p>
+<div class="textblock"><code>#include "<a class="el" href="vector_8h_source.html">vector.h</a>"</code><br />
+<code>#include "<a class="el" href="matrix_8h_source.html">matrix.h</a>"</code><br />
+<code>#include "<a class="el" href="moore__penrose__pseudo__inverse_8h_source.html">moore_penrose_pseudo_inverse.h</a>"</code><br />
+</div>
+<p><a href="newton__raphson_8c_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ac6837f695990867bd72cf23ee93961cc"><td class="memItemLeft" align="right" valign="top">uint8_t </td><td class="memItemRight" valign="bottom"><a class="el" href="newton__raphson_8c.html#ac6837f695990867bd72cf23ee93961cc">newton_raphson</a> (uint8_t f_length, uint8_t n, <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x0_arr[], double eps, uint8_t max_it_num, <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> est_x_arr[], void(*get_non_lin_sys)(<a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_arr[], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> f_vec[]), void(*get_jacobian)(<a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_arr[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J[][n]))</td></tr>
+<tr class="memdesc:ac6837f695990867bd72cf23ee93961cc"><td class="mdescLeft"> </td><td class="mdescRight">Implements the Newton–Raphson algorithm. <a href="newton__raphson_8c.html#ac6837f695990867bd72cf23ee93961cc">More...</a><br /></td></tr>
+<tr class="separator:ac6837f695990867bd72cf23ee93961cc"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Implement the Newton–Raphson algorithm. </p>
+<p>The Newton–Raphson algorithm enables to solve multi-variant nonlinear equation systems.</p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="newton__raphson_8c_source.html">newton_raphson.c</a>.</p>
+</div><h2 class="groupheader">Function Documentation</h2>
+<a id="ac6837f695990867bd72cf23ee93961cc"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#ac6837f695990867bd72cf23ee93961cc">◆ </a></span>newton_raphson()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">uint8_t newton_raphson </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>f_length</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>x0_arr</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">uint8_t </td>
+ <td class="paramname"><em>max_it_num</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>est_x_arr</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">void(*)(<a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_arr[], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> f_vec[]) </td>
+ <td class="paramname"><em>get_non_lin_sys</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">void(*)(<a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_arr[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J[][n]) </td>
+ <td class="paramname"><em>get_jacobian</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Implements the Newton–Raphson algorithm. </p>
+<p>The user should provide pointers to non-linear equation systems and Jacobian functions. </p><dl class="section note"><dt>Note</dt><dd>This function is generally implemented.</dd></dl>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">f_length</td><td>length of the error functions vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>length of the start vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">x0_arr[]</td><td>start vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">eps</td><td>accuracy bound. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">max_it_num</td><td>maximal iteration number of the Newton–Raphson algorithm. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">est_x_arr[]</td><td>estimated (solution) vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">(*get_non_lin_sys)</td><td>pointer to non-linear equation systems. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">(*get_jacobian)</td><td>pointer to the Jacobian matrix.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>required iteration number. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="newton__raphson_8c_source.html#l00028">28</a> of file <a class="el" href="newton__raphson_8c_source.html">newton_raphson.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8c_source.html#l00434">matrix_mul_vec()</a>, <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>, <a class="el" href="moore__penrose__pseudo__inverse_8c_source.html#l00038">moore_penrose_get_pinv()</a>, <a class="el" href="vector_8c_source.html#l00037">vector_copy()</a>, <a class="el" href="vector_8c_source.html#l00163">vector_get_euclidean_distance()</a>, <a class="el" href="vector_8c_source.html#l00094">vector_sub()</a>, and <a class="el" href="vector_8h_source.html#l00033">vector_t</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="fsolve_8c_source.html#l00029">fsolve()</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="navelem"><a class="el" href="dir_943f05c9b1835bace55f73b49add4eb5.html">non_linear_algebra</a></li><li class="navelem"><a class="el" href="dir_96fb3641df0eaf7ad29b2346d426a787.html">solve_non_linear_equations</a></li><li class="navelem"><a class="el" href="newton__raphson_8c.html">newton_raphson.c</a></li>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
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+ [ "newton_raphson", "newton__raphson_8c.html#ac6837f695990867bd72cf23ee93961cc", null ]
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+ <div class="headertitle">
+<div class="title">newton_raphson.c</div> </div>
+</div><!--header-->
+<div class="contents">
+<a href="newton__raphson_8c.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="preprocessor">#include "<a class="code" href="vector_8h.html">vector.h</a>"</span></div>
+<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="preprocessor">#include "<a class="code" href="matrix_8h.html">matrix.h</a>"</span></div>
+<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#include "<a class="code" href="moore__penrose__pseudo__inverse_8h.html">moore_penrose_pseudo_inverse.h</a>"</span></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">//n is the size of x0 that is equal to the column number of J</span></div>
+<div class="line"><a name="l00028"></a><span class="lineno"><a class="line" href="newton__raphson_8c.html#ac6837f695990867bd72cf23ee93961cc"> 28</a></span> uint8_t <a class="code" href="newton__raphson_8c.html#ac6837f695990867bd72cf23ee93961cc">newton_raphson</a>(uint8_t f_length, uint8_t n, <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x0_arr[],</div>
+<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>  <span class="keywordtype">double</span> eps, uint8_t max_it_num, <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> est_x_arr[],</div>
+<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>  <span class="keywordtype">void</span> (*get_non_lin_sys)(<a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_arr[],</div>
+<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> f_vec[]),</div>
+<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>  <span class="keywordtype">void</span> (*get_jacobian)(<a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_arr[], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J[][n]))</div>
+<div class="line"><a name="l00033"></a><span class="lineno"> 33</span> {</div>
+<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  uint8_t iter_num;</div>
+<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  <span class="keywordtype">double</span> step;</div>
+<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> prev_x_arr[n];</div>
+<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J[f_length][n];</div>
+<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> pinv_J[n][f_length];</div>
+<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> delta_x[n];</div>
+<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> f_vec[f_length];</div>
+<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  </div>
+<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  <a class="code" href="vector_8h.html#ae9d3378f23ba835c727245b434b8a7f6">vector_copy</a>(n, x0_arr, prev_x_arr);</div>
+<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  step = eps;</div>
+<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  iter_num = 0;</div>
+<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  </div>
+<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  <span class="keywordflow">while</span> ((step >= eps) && (iter_num < max_it_num)) {</div>
+<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  <span class="comment">// compute the Jacobian matrix for the prev_x_arr.</span></div>
+<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  get_jacobian(prev_x_arr, J);</div>
+<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  <span class="comment">// compute the inverse of J (J^-1)</span></div>
+<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  <a class="code" href="moore__penrose__pseudo__inverse_8h.html#a0ddd46446f074a0d38c04157686f5fce">moore_penrose_get_pinv</a>(f_length, n, J, pinv_J);</div>
+<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  <span class="comment">// compute the value of f(x)</span></div>
+<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  get_non_lin_sys(prev_x_arr, f_vec);</div>
+<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  <span class="comment">//delta_x = J1^-1*f(x)</span></div>
+<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  <a class="code" href="matrix_8h.html#ad610bcce232c69ca302550f57b1ad9fb">matrix_mul_vec</a>(n, f_length, pinv_J, f_vec, delta_x);</div>
+<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  <span class="comment">//improve x: x = x - delta_x</span></div>
+<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  <a class="code" href="vector_8h.html#a3bbd999b10064c2ede2bd427aa040b63">vector_sub</a>(n, prev_x_arr, delta_x, est_x_arr);</div>
+<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  <span class="comment">//next step</span></div>
+<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  step = <a class="code" href="vector_8h.html#abbb6bf046e47a8634c15c43a508cacb9">vector_get_euclidean_distance</a>(n, est_x_arr, prev_x_arr);</div>
+<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  <span class="comment">//update prev_x</span></div>
+<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  <a class="code" href="vector_8h.html#ae9d3378f23ba835c727245b434b8a7f6">vector_copy</a>(n, est_x_arr, prev_x_arr);</div>
+<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  iter_num++;</div>
+<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  }</div>
+<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  </div>
+<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  <span class="keywordflow">return</span> iter_num;</div>
+<div class="line"><a name="l00065"></a><span class="lineno"> 65</span> }</div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="amoore__penrose__pseudo__inverse_8h_html_a0ddd46446f074a0d38c04157686f5fce"><div class="ttname"><a href="moore__penrose__pseudo__inverse_8h.html#a0ddd46446f074a0d38c04157686f5fce">moore_penrose_get_pinv</a></div><div class="ttdeci">int8_t moore_penrose_get_pinv(uint8_t m, uint8_t n, matrix_t A[m][n], matrix_t pinv_A[n][m])</div><div class="ttdoc">Calculate the Moore–Penrose inverse of a rectangular matrix.</div><div class="ttdef"><b>Definition:</b> <a href="moore__penrose__pseudo__inverse_8c_source.html#l00038">moore_penrose_pseudo_inverse.c:38</a></div></div>
+<div class="ttc" id="amatrix_8h_html_ad610bcce232c69ca302550f57b1ad9fb"><div class="ttname"><a href="matrix_8h.html#ad610bcce232c69ca302550f57b1ad9fb">matrix_mul_vec</a></div><div class="ttdeci">void matrix_mul_vec(uint8_t m, uint8_t n, matrix_t matrix[m][n], matrix_t vec[n], matrix_t dst_arr[m])</div><div class="ttdoc">Compute the multiplication of a matrix with a column vector.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00434">matrix.c:434</a></div></div>
+<div class="ttc" id="avector_8h_html_abbb6bf046e47a8634c15c43a508cacb9"><div class="ttname"><a href="vector_8h.html#abbb6bf046e47a8634c15c43a508cacb9">vector_get_euclidean_distance</a></div><div class="ttdeci">vector_t vector_get_euclidean_distance(uint8_t length, vector_t vec1[], vector_t vec2[])</div><div class="ttdoc">Compute the Euclidean distance between two vectors.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00163">vector.c:163</a></div></div>
+<div class="ttc" id="avector_8h_html_acb41430bc5720dda7d1c45d91a0b0221"><div class="ttname"><a href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a></div><div class="ttdeci">#define vector_t</div><div class="ttdoc">Define the data type of the vector elements.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8h_source.html#l00033">vector.h:33</a></div></div>
+<div class="ttc" id="amatrix_8h_html"><div class="ttname"><a href="matrix_8h.html">matrix.h</a></div><div class="ttdoc">Matrix computations.</div></div>
+<div class="ttc" id="amoore__penrose__pseudo__inverse_8h_html"><div class="ttname"><a href="moore__penrose__pseudo__inverse_8h.html">moore_penrose_pseudo_inverse.h</a></div><div class="ttdoc">Moore–Penrose algorithm to compute the pseudo-inverse of a matrix.</div></div>
+<div class="ttc" id="avector_8h_html_ae9d3378f23ba835c727245b434b8a7f6"><div class="ttname"><a href="vector_8h.html#ae9d3378f23ba835c727245b434b8a7f6">vector_copy</a></div><div class="ttdeci">void vector_copy(uint8_t size, vector_t src_arr[], vector_t dest_arr[])</div><div class="ttdoc">Copy the elements of the source vector to the destination vector.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00037">vector.c:37</a></div></div>
+<div class="ttc" id="amatrix_8h_html_af38ac6b76d645fea9abd6caeb4d9dd31"><div class="ttname"><a href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a></div><div class="ttdeci">#define matrix_t</div><div class="ttdoc">Define the data type of the matrix elements.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8h_source.html#l00038">matrix.h:38</a></div></div>
+<div class="ttc" id="avector_8h_html"><div class="ttname"><a href="vector_8h.html">vector.h</a></div><div class="ttdoc">Vector computations.</div></div>
+<div class="ttc" id="anewton__raphson_8c_html_ac6837f695990867bd72cf23ee93961cc"><div class="ttname"><a href="newton__raphson_8c.html#ac6837f695990867bd72cf23ee93961cc">newton_raphson</a></div><div class="ttdeci">uint8_t newton_raphson(uint8_t f_length, uint8_t n, vector_t x0_arr[], double eps, uint8_t max_it_num, vector_t est_x_arr[], void(*get_non_lin_sys)(vector_t x_arr[], vector_t f_vec[]), void(*get_jacobian)(vector_t x_arr[], matrix_t J[][n]))</div><div class="ttdoc">Implements the Newton–Raphson algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="newton__raphson_8c_source.html#l00028">newton_raphson.c:28</a></div></div>
+<div class="ttc" id="avector_8h_html_a3bbd999b10064c2ede2bd427aa040b63"><div class="ttname"><a href="vector_8h.html#a3bbd999b10064c2ede2bd427aa040b63">vector_sub</a></div><div class="ttdeci">void vector_sub(uint8_t size, vector_t a_vec[], vector_t b_vec[], vector_t a_minus_b[])</div><div class="ttdoc">Compute the subtraction of two vectors.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00094">vector.c:94</a></div></div>
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+
+<div class="header">
+ <div class="summary">
+<a href="#func-members">Functions</a> </div>
+ <div class="headertitle">
+<div class="title">newton_raphson.h File Reference<div class="ingroups"><a class="el" href="group__non__linear__algebra.html">NON_LINEAR_ALGEBRA</a> » <a class="el" href="group__solve__non__linear__equations.html">SOLVE_NON_LINEAR_EQUATIONS</a></div></div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Implement the Newton–Raphson algorithm.
+<a href="#details">More...</a></p>
+<div class="textblock"><code>#include <inttypes.h></code><br />
+<code>#include "<a class="el" href="vector_8h_source.html">vector.h</a>"</code><br />
+<code>#include "<a class="el" href="matrix_8h_source.html">matrix.h</a>"</code><br />
+</div>
+<p><a href="newton__raphson_8h_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ac6837f695990867bd72cf23ee93961cc"><td class="memItemLeft" align="right" valign="top">uint8_t </td><td class="memItemRight" valign="bottom"><a class="el" href="newton__raphson_8h.html#ac6837f695990867bd72cf23ee93961cc">newton_raphson</a> (uint8_t f_length, uint8_t n, <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x0_arr[], double eps, uint8_t max_it_num, <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> est_x_arr[], void(*get_non_lin_sys)(<a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_arr[], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> f_vec[]), void(*get_jacobian)(<a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_arr[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J[][n]))</td></tr>
+<tr class="memdesc:ac6837f695990867bd72cf23ee93961cc"><td class="mdescLeft"> </td><td class="mdescRight">Implements the Newton–Raphson algorithm. <a href="newton__raphson_8h.html#ac6837f695990867bd72cf23ee93961cc">More...</a><br /></td></tr>
+<tr class="separator:ac6837f695990867bd72cf23ee93961cc"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Implement the Newton–Raphson algorithm. </p>
+<p>The Newton–Raphson algorithm enables to solve multi-variant nonlinear equation systems.</p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="newton__raphson_8h_source.html">newton_raphson.h</a>.</p>
+</div><h2 class="groupheader">Function Documentation</h2>
+<a id="ac6837f695990867bd72cf23ee93961cc"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#ac6837f695990867bd72cf23ee93961cc">◆ </a></span>newton_raphson()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">uint8_t newton_raphson </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>f_length</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>x0_arr</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">uint8_t </td>
+ <td class="paramname"><em>max_it_num</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>est_x_arr</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">void(*)(<a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_arr[], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> f_vec[]) </td>
+ <td class="paramname"><em>get_non_lin_sys</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">void(*)(<a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_arr[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J[][n]) </td>
+ <td class="paramname"><em>get_jacobian</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Implements the Newton–Raphson algorithm. </p>
+<p>The user should provide pointers to non-linear equation systems and Jacobian functions. </p><dl class="section note"><dt>Note</dt><dd>This function is generally implemented.</dd></dl>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">f_length</td><td>length of the error functions vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>length of the start vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">x0_arr[]</td><td>start vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">eps</td><td>accuracy bound. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">max_it_num</td><td>maximal iteration number of the Newton–Raphson algorithm. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">est_x_arr[]</td><td>estimated (solution) vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">(*get_non_lin_sys)</td><td>pointer to non-linear equation systems. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">(*get_jacobian)</td><td>pointer to the Jacobian matrix.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>required iteration number. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="newton__raphson_8c_source.html#l00028">28</a> of file <a class="el" href="newton__raphson_8c_source.html">newton_raphson.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8c_source.html#l00434">matrix_mul_vec()</a>, <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>, <a class="el" href="moore__penrose__pseudo__inverse_8c_source.html#l00038">moore_penrose_get_pinv()</a>, <a class="el" href="vector_8c_source.html#l00037">vector_copy()</a>, <a class="el" href="vector_8c_source.html#l00163">vector_get_euclidean_distance()</a>, <a class="el" href="vector_8c_source.html#l00094">vector_sub()</a>, and <a class="el" href="vector_8h_source.html#l00033">vector_t</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="fsolve_8c_source.html#l00029">fsolve()</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="navelem"><a class="el" href="dir_943f05c9b1835bace55f73b49add4eb5.html">non_linear_algebra</a></li><li class="navelem"><a class="el" href="dir_96fb3641df0eaf7ad29b2346d426a787.html">solve_non_linear_equations</a></li><li class="navelem"><a class="el" href="dir_11810571c148016bdf8359f21ff128b1.html">include</a></li><li class="navelem"><a class="el" href="newton__raphson_8h.html">newton_raphson.h</a></li>
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+ <div id="projectname">RcdMathLib_doc
+ </div>
+ <div id="projectbrief">Open Source Library for Linear and Non-linear Algebra</div>
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+/* @license-end */
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+<div id="doc-content">
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+<div id="MSearchSelectWindow"
+ onmouseover="return searchBox.OnSearchSelectShow()"
+ onmouseout="return searchBox.OnSearchSelectHide()"
+ onkeydown="return searchBox.OnSearchSelectKey(event)">
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+
+<div class="header">
+ <div class="headertitle">
+<div class="title">newton_raphson.h</div> </div>
+</div><!--header-->
+<div class="contents">
+<a href="newton__raphson_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="preprocessor">#ifndef NEWTON_RAPHSON_H_</span></div>
+<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="preprocessor">#define NEWTON_RAPHSON_H_</span></div>
+<div class="line"><a name="l00025"></a><span class="lineno"> 25</span>  </div>
+<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="preprocessor">#include <inttypes.h></span></div>
+<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>  </div>
+<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="preprocessor">#include "<a class="code" href="vector_8h.html">vector.h</a>"</span></div>
+<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="preprocessor">#include "<a class="code" href="matrix_8h.html">matrix.h</a>"</span></div>
+<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>  </div>
+<div class="line"><a name="l00048"></a><span class="lineno"> 48</span> uint8_t <a class="code" href="newton__raphson_8h.html#ac6837f695990867bd72cf23ee93961cc">newton_raphson</a>(uint8_t f_length, uint8_t n, <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x0_arr[],</div>
+<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  <span class="keywordtype">double</span> eps, uint8_t max_it_num, <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> est_x_arr[],</div>
+<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  <span class="keywordtype">void</span> (*get_non_lin_sys)(<a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_arr[], <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> f_vec[]),</div>
+<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  <span class="keywordtype">void</span> (*get_jacobian)(<a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_arr[], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J[][n]));</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="preprocessor">#endif </span><span class="comment">/* NEWTON_RAPHSON_H_ */</span><span class="preprocessor"></span></div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="avector_8h_html_acb41430bc5720dda7d1c45d91a0b0221"><div class="ttname"><a href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a></div><div class="ttdeci">#define vector_t</div><div class="ttdoc">Define the data type of the vector elements.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8h_source.html#l00033">vector.h:33</a></div></div>
+<div class="ttc" id="amatrix_8h_html"><div class="ttname"><a href="matrix_8h.html">matrix.h</a></div><div class="ttdoc">Matrix computations.</div></div>
+<div class="ttc" id="anewton__raphson_8h_html_ac6837f695990867bd72cf23ee93961cc"><div class="ttname"><a href="newton__raphson_8h.html#ac6837f695990867bd72cf23ee93961cc">newton_raphson</a></div><div class="ttdeci">uint8_t newton_raphson(uint8_t f_length, uint8_t n, vector_t x0_arr[], double eps, uint8_t max_it_num, vector_t est_x_arr[], void(*get_non_lin_sys)(vector_t x_arr[], vector_t f_vec[]), void(*get_jacobian)(vector_t x_arr[], matrix_t J[][n]))</div><div class="ttdoc">Implements the Newton–Raphson algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="newton__raphson_8c_source.html#l00028">newton_raphson.c:28</a></div></div>
+<div class="ttc" id="amatrix_8h_html_af38ac6b76d645fea9abd6caeb4d9dd31"><div class="ttname"><a href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a></div><div class="ttdeci">#define matrix_t</div><div class="ttdoc">Define the data type of the matrix elements.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8h_source.html#l00038">matrix.h:38</a></div></div>
+<div class="ttc" id="avector_8h_html"><div class="ttname"><a href="vector_8h.html">vector.h</a></div><div class="ttdoc">Vector computations.</div></div>
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+ <div id="projectname">RcdMathLib_doc
+ </div>
+ <div id="projectbrief">Open Source Library for Linear and Non-linear Algebra</div>
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+/* @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>
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+ name="MSearchResults" id="MSearchResults">
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+
+<div class="header">
+ <div class="headertitle">
+<div class="title">non_lin_eq_common.h</div> </div>
+</div><!--header-->
+<div class="contents">
+<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00010"></a><span class="lineno"> 10</span> <span class="preprocessor">#ifndef NON_LIN_EQ_COMMON_H_</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno"> 11</span> <span class="preprocessor">#define NON_LIN_EQ_COMMON_H_</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno"> 12</span>  </div>
+<div class="line"><a name="l00013"></a><span class="lineno"> 13</span> <span class="comment">//#include "vector.h"</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno"> 14</span> <span class="comment">//</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno"> 15</span> <span class="comment">//typedef vector_t (*vec_t_func)(uint8_t length, ...);</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno"> 16</span>  </div>
+<div class="line"><a name="l00017"></a><span class="lineno"> 17</span> <span class="preprocessor">#endif </span><span class="comment">/* NON_LIN_EQ_COMMON_H_ */</span><span class="preprocessor"></span></div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
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+ <ul>
+ <li class="navelem"><a class="el" href="dir_943f05c9b1835bace55f73b49add4eb5.html">non_linear_algebra</a></li><li class="navelem"><a class="el" href="dir_96fb3641df0eaf7ad29b2346d426a787.html">solve_non_linear_equations</a></li><li class="navelem"><a class="el" href="dir_11810571c148016bdf8359f21ff128b1.html">include</a></li><li class="navelem"><b>non_lin_eq_common.h</b></li>
+ <li class="footer">Generated by
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+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
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diff --git a/doc/doxygen/html/norm__dist__rnd__generator_8c.html b/doc/doxygen/html/norm__dist__rnd__generator_8c.html
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+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "https://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
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+ <tbody>
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+ <td id="projectalign" style="padding-left: 0.5em;">
+ <div id="projectname">RcdMathLib_doc
+ </div>
+ <div id="projectbrief">Open Source Library for Linear and Non-linear Algebra</div>
+ </td>
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+</table>
+</div>
+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.16 -->
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+ name="MSearchResults" id="MSearchResults">
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+
+<div class="header">
+ <div class="summary">
+<a href="#func-members">Functions</a> </div>
+ <div class="headertitle">
+<div class="title">norm_dist_rnd_generator.c File Reference</div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Generating normally distributed random numbers.
+<a href="#details">More...</a></p>
+<div class="textblock"><code>#include <stdlib.h></code><br />
+<code>#include <math.h></code><br />
+<code>#include "<a class="el" href="norm__dist__rnd__generator_8h_source.html">norm_dist_rnd_generator.h</a>"</code><br />
+</div>
+<p><a href="norm__dist__rnd__generator_8c_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a7c43c3270c6c14bb23f14d071f6132bf"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="norm__dist__rnd__generator_8c.html#a7c43c3270c6c14bb23f14d071f6132bf">get_norm_distr_rand_num</a> (double mean_val, double std_dev_val)</td></tr>
+<tr class="memdesc:a7c43c3270c6c14bb23f14d071f6132bf"><td class="mdescLeft"> </td><td class="mdescRight">Get a normally distributed random number by applying the Box–Muller method. <a href="norm__dist__rnd__generator_8c.html#a7c43c3270c6c14bb23f14d071f6132bf">More...</a><br /></td></tr>
+<tr class="separator:a7c43c3270c6c14bb23f14d071f6132bf"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a5767383d0f4f1fed2c194695a22f56cb"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="norm__dist__rnd__generator_8c.html#a5767383d0f4f1fed2c194695a22f56cb">get_rand_num</a> (int initial_seed_val)</td></tr>
+<tr class="memdesc:a5767383d0f4f1fed2c194695a22f56cb"><td class="mdescLeft"> </td><td class="mdescRight">Generate uniform (0.0, 1.0) random numbers by using the Linear Congruential Generator (LGC) algorithm. <a href="norm__dist__rnd__generator_8c.html#a5767383d0f4f1fed2c194695a22f56cb">More...</a><br /></td></tr>
+<tr class="separator:a5767383d0f4f1fed2c194695a22f56cb"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Generating normally distributed random numbers. </p>
+<p>The generation of normally distributed random numbers is implemented by using the Box–Muller method.</p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="norm__dist__rnd__generator_8c_source.html">norm_dist_rnd_generator.c</a>.</p>
+</div><h2 class="groupheader">Function Documentation</h2>
+<a id="a7c43c3270c6c14bb23f14d071f6132bf"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a7c43c3270c6c14bb23f14d071f6132bf">◆ </a></span>get_norm_distr_rand_num()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">double get_norm_distr_rand_num </td>
+ <td>(</td>
+ <td class="paramtype">double </td>
+ <td class="paramname"><em>mean_val</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">double </td>
+ <td class="paramname"><em>std_dev_val</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Get a normally distributed random number by applying the Box–Muller method. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">mean_val</td><td>mean value. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">std_dev_val</td><td>standard deviation.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>normally distributed random number. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="norm__dist__rnd__generator_8c_source.html#l00040">40</a> of file <a class="el" href="norm__dist__rnd__generator_8c_source.html">norm_dist_rnd_generator.c</a>.</p>
+
+<p class="reference">References <a class="el" href="norm__dist__rnd__generator_8c_source.html#l00080">get_rand_num()</a>, and <a class="el" href="norm__dist__rnd__generator_8h_source.html#l00033">PI</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="multipath__dist__detection__mitigation_8c_source.html#l00078">sim_UWB_dist()</a>.</p>
+
+</div>
+</div>
+<a id="a5767383d0f4f1fed2c194695a22f56cb"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a5767383d0f4f1fed2c194695a22f56cb">◆ </a></span>get_rand_num()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">double get_rand_num </td>
+ <td>(</td>
+ <td class="paramtype">int </td>
+ <td class="paramname"><em>initial_seed_val</em></td><td>)</td>
+ <td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Generate uniform (0.0, 1.0) random numbers by using the Linear Congruential Generator (LGC) algorithm. </p>
+<dl class="section note"><dt>Note</dt><dd>The LGC is implemented based on the following book: R. Jain, "The Art of Computer Systems Performance Analysis," John Wiley & Sons, 1991.</dd></dl>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">initial_seed_val</td><td>initial seed value.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>random number between 0.0 and 1.0. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="norm__dist__rnd__generator_8c_source.html#l00080">80</a> of file <a class="el" href="norm__dist__rnd__generator_8c_source.html">norm_dist_rnd_generator.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="norm__dist__rnd__generator_8c_source.html#l00040">get_norm_distr_rand_num()</a>, and <a class="el" href="multipath__dist__detection__mitigation_8c_source.html#l00078">sim_UWB_dist()</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="navelem"><a class="el" href="dir_8c4128baa09a573ad2b8b8c0061a04c9.html">linear_algebra</a></li><li class="navelem"><a class="el" href="dir_08749d3fb0d5743bfaf3c7bce248dc40.html">utilities</a></li><li class="navelem"><a class="el" href="norm__dist__rnd__generator_8c.html">norm_dist_rnd_generator.c</a></li>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
+ </ul>
+</div>
+</body>
+</html>
diff --git a/doc/doxygen/html/norm__dist__rnd__generator_8c.js b/doc/doxygen/html/norm__dist__rnd__generator_8c.js
new file mode 100644
index 0000000000000000000000000000000000000000..7ad89c5f3260e0b02a8f92faffbfb1914dc14547
--- /dev/null
+++ b/doc/doxygen/html/norm__dist__rnd__generator_8c.js
@@ -0,0 +1,5 @@
+var norm__dist__rnd__generator_8c =
+[
+ [ "get_norm_distr_rand_num", "norm__dist__rnd__generator_8c.html#a7c43c3270c6c14bb23f14d071f6132bf", null ],
+ [ "get_rand_num", "norm__dist__rnd__generator_8c.html#a5767383d0f4f1fed2c194695a22f56cb", null ]
+];
\ No newline at end of file
diff --git a/doc/doxygen/html/norm__dist__rnd__generator_8c_source.html b/doc/doxygen/html/norm__dist__rnd__generator_8c_source.html
new file mode 100644
index 0000000000000000000000000000000000000000..767166a62f6d9d0ec7aed66f1a53d54b06f0858e
--- /dev/null
+++ b/doc/doxygen/html/norm__dist__rnd__generator_8c_source.html
@@ -0,0 +1,181 @@
+<!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">
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+<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 1.8.16"/>
+<meta name="viewport" content="width=device-width, initial-scale=1"/>
+<title>RcdMathLib_doc: norm_dist_rnd_generator.c Source File</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
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+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+ <td id="projectalign" style="padding-left: 0.5em;">
+ <div id="projectname">RcdMathLib_doc
+ </div>
+ <div id="projectbrief">Open Source Library for Linear and Non-linear Algebra</div>
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+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.16 -->
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+/* @license-end */
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+<div id="doc-content">
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+ onmouseover="return searchBox.OnSearchSelectShow()"
+ onmouseout="return searchBox.OnSearchSelectHide()"
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+<div class="header">
+ <div class="headertitle">
+<div class="title">norm_dist_rnd_generator.c</div> </div>
+</div><!--header-->
+<div class="contents">
+<a href="norm__dist__rnd__generator_8c.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="preprocessor">#include <stdlib.h></span></div>
+<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#include <math.h></span></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="preprocessor">#include "<a class="code" href="norm__dist__rnd__generator_8h.html">norm_dist_rnd_generator.h</a>"</span></div>
+<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>  </div>
+<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>  </div>
+<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>  </div>
+<div class="line"><a name="l00040"></a><span class="lineno"><a class="line" href="norm__dist__rnd__generator_8c.html#a7c43c3270c6c14bb23f14d071f6132bf"> 40</a></span> <span class="keywordtype">double</span> <a class="code" href="norm__dist__rnd__generator_8c.html#a7c43c3270c6c14bb23f14d071f6132bf">get_norm_distr_rand_num</a>(<span class="keywordtype">double</span> mean_val, <span class="keywordtype">double</span> std_dev_val)</div>
+<div class="line"><a name="l00041"></a><span class="lineno"> 41</span> {</div>
+<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  <span class="keywordtype">double</span> u, r, theta;</div>
+<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  <span class="keywordtype">double</span> x;</div>
+<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  <span class="keywordtype">double</span> adj_norm_rv;</div>
+<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  </div>
+<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  <span class="comment">// Generate a random value of u</span></div>
+<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  u = 0.0;</div>
+<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  <span class="keywordflow">while</span> (u == 0.0) {</div>
+<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  u = <a class="code" href="norm__dist__rnd__generator_8c.html#a5767383d0f4f1fed2c194695a22f56cb">get_rand_num</a>(0);</div>
+<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  }</div>
+<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  </div>
+<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  r = sqrt(-2.0 * log(u));</div>
+<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  </div>
+<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  <span class="comment">// Generate a random value of theta</span></div>
+<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  theta = 0.0;</div>
+<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  <span class="keywordflow">while</span> (theta == 0.0) {</div>
+<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  theta = 2.0 * <a class="code" href="norm__dist__rnd__generator_8h.html#a598a3330b3c21701223ee0ca14316eca">PI</a> * <a class="code" href="norm__dist__rnd__generator_8c.html#a5767383d0f4f1fed2c194695a22f56cb">get_rand_num</a>(0);</div>
+<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  }</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>  x = r * cos(theta);</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>  adj_norm_rv = (x * std_dev_val) + mean_val;</div>
+<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  </div>
+<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  <span class="keywordflow">return</span> (adj_norm_rv);</div>
+<div class="line"><a name="l00065"></a><span class="lineno"> 65</span> }</div>
+<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  </div>
+<div class="line"><a name="l00080"></a><span class="lineno"><a class="line" href="norm__dist__rnd__generator_8c.html#a5767383d0f4f1fed2c194695a22f56cb"> 80</a></span> <span class="keywordtype">double</span> <a class="code" href="norm__dist__rnd__generator_8c.html#a5767383d0f4f1fed2c194695a22f56cb">get_rand_num</a>(<span class="keywordtype">int</span> initial_seed_val)</div>
+<div class="line"><a name="l00081"></a><span class="lineno"> 81</span> {</div>
+<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  <span class="keyword">const</span> <span class="keywordtype">long</span> a = 16807;</div>
+<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  <span class="keyword">const</span> <span class="keywordtype">long</span> m = 2147483647;</div>
+<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  <span class="keyword">const</span> <span class="keywordtype">long</span> q = 127773;</div>
+<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  <span class="keyword">const</span> <span class="keywordtype">long</span> r = 2836;</div>
+<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  <span class="keyword">static</span> <span class="keywordtype">long</span> x;</div>
+<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  <span class="keywordtype">long</span> x_div_q;</div>
+<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  <span class="keywordtype">long</span> x_mod_q;</div>
+<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  <span class="keywordtype">long</span> new_x;</div>
+<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  </div>
+<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  <span class="comment">// Setting of the seed value</span></div>
+<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  <span class="keywordflow">if</span> (initial_seed_val > 0) {</div>
+<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  x = initial_seed_val;</div>
+<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  <span class="keywordflow">return</span> (0.0);</div>
+<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  }</div>
+<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  </div>
+<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  x_div_q = x / q;</div>
+<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  x_mod_q = x % q;</div>
+<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  new_x = (a * x_mod_q) - (r * x_div_q);</div>
+<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  <span class="keywordflow">if</span> (new_x > 0) {</div>
+<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  x = new_x;</div>
+<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  }</div>
+<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  <span class="keywordflow">else</span> {</div>
+<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  x = new_x + m;</div>
+<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  }</div>
+<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  </div>
+<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  <span class="keywordflow">return</span> ((<span class="keywordtype">double</span>)x / m);</div>
+<div class="line"><a name="l00108"></a><span class="lineno"> 108</span> }</div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="anorm__dist__rnd__generator_8c_html_a7c43c3270c6c14bb23f14d071f6132bf"><div class="ttname"><a href="norm__dist__rnd__generator_8c.html#a7c43c3270c6c14bb23f14d071f6132bf">get_norm_distr_rand_num</a></div><div class="ttdeci">double get_norm_distr_rand_num(double mean_val, double std_dev_val)</div><div class="ttdoc">Get a normally distributed random number by applying the Box–Muller method.</div><div class="ttdef"><b>Definition:</b> <a href="norm__dist__rnd__generator_8c_source.html#l00040">norm_dist_rnd_generator.c:40</a></div></div>
+<div class="ttc" id="anorm__dist__rnd__generator_8c_html_a5767383d0f4f1fed2c194695a22f56cb"><div class="ttname"><a href="norm__dist__rnd__generator_8c.html#a5767383d0f4f1fed2c194695a22f56cb">get_rand_num</a></div><div class="ttdeci">double get_rand_num(int initial_seed_val)</div><div class="ttdoc">Generate uniform (0.0, 1.0) random numbers by using the Linear Congruential Generator (LGC) algorithm...</div><div class="ttdef"><b>Definition:</b> <a href="norm__dist__rnd__generator_8c_source.html#l00080">norm_dist_rnd_generator.c:80</a></div></div>
+<div class="ttc" id="anorm__dist__rnd__generator_8h_html_a598a3330b3c21701223ee0ca14316eca"><div class="ttname"><a href="norm__dist__rnd__generator_8h.html#a598a3330b3c21701223ee0ca14316eca">PI</a></div><div class="ttdeci">#define PI</div><div class="ttdef"><b>Definition:</b> <a href="norm__dist__rnd__generator_8h_source.html#l00033">norm_dist_rnd_generator.h:33</a></div></div>
+<div class="ttc" id="anorm__dist__rnd__generator_8h_html"><div class="ttname"><a href="norm__dist__rnd__generator_8h.html">norm_dist_rnd_generator.h</a></div><div class="ttdoc">Generating normally distributed random numbers.</div></div>
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
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+ <li class="navelem"><a class="el" href="dir_8c4128baa09a573ad2b8b8c0061a04c9.html">linear_algebra</a></li><li class="navelem"><a class="el" href="dir_08749d3fb0d5743bfaf3c7bce248dc40.html">utilities</a></li><li class="navelem"><a class="el" href="norm__dist__rnd__generator_8c.html">norm_dist_rnd_generator.c</a></li>
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+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
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diff --git a/doc/doxygen/html/norm__dist__rnd__generator_8h.html b/doc/doxygen/html/norm__dist__rnd__generator_8h.html
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+/* @license-end */
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+<iframe src="javascript:void(0)" frameborder="0"
+ name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="header">
+ <div class="summary">
+<a href="#define-members">Macros</a> |
+<a href="#func-members">Functions</a> </div>
+ <div class="headertitle">
+<div class="title">norm_dist_rnd_generator.h File Reference<div class="ingroups"><a class="el" href="group__linear__algebra.html">LINEAR_ALGEBRA</a> » <a class="el" href="group__utilities.html">UTILITIES</a></div></div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Generating normally distributed random numbers.
+<a href="#details">More...</a></p>
+
+<p><a href="norm__dist__rnd__generator_8h_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="define-members"></a>
+Macros</h2></td></tr>
+<tr class="memitem:a598a3330b3c21701223ee0ca14316eca"><td class="memItemLeft" align="right" valign="top">#define </td><td class="memItemRight" valign="bottom"><a class="el" href="norm__dist__rnd__generator_8h.html#a598a3330b3c21701223ee0ca14316eca">PI</a>   3.14159265</td></tr>
+<tr class="separator:a598a3330b3c21701223ee0ca14316eca"><td class="memSeparator" colspan="2"> </td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a35eb81d6885b8d16d225b230f88a919a"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="norm__dist__rnd__generator_8h.html#a35eb81d6885b8d16d225b230f88a919a">get_norm_distr_rand_num</a> (double mean, double std_dev)</td></tr>
+<tr class="memdesc:a35eb81d6885b8d16d225b230f88a919a"><td class="mdescLeft"> </td><td class="mdescRight">Get a normally distributed random number by applying the Box–Muller method. <a href="norm__dist__rnd__generator_8h.html#a35eb81d6885b8d16d225b230f88a919a">More...</a><br /></td></tr>
+<tr class="separator:a35eb81d6885b8d16d225b230f88a919a"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a58c36346c01fb7f1a336a610b177b903"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="norm__dist__rnd__generator_8h.html#a58c36346c01fb7f1a336a610b177b903">get_rand_num</a> (int seed)</td></tr>
+<tr class="memdesc:a58c36346c01fb7f1a336a610b177b903"><td class="mdescLeft"> </td><td class="mdescRight">Generate uniform (0.0, 1.0) random numbers by using the Linear Congruential Generator (LGC) algorithm. <a href="norm__dist__rnd__generator_8h.html#a58c36346c01fb7f1a336a610b177b903">More...</a><br /></td></tr>
+<tr class="separator:a58c36346c01fb7f1a336a610b177b903"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Generating normally distributed random numbers. </p>
+<p>The generation of normally distributed random numbers is implemented by using the Box–Muller method.</p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="norm__dist__rnd__generator_8h_source.html">norm_dist_rnd_generator.h</a>.</p>
+</div><h2 class="groupheader">Macro Definition Documentation</h2>
+<a id="a598a3330b3c21701223ee0ca14316eca"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a598a3330b3c21701223ee0ca14316eca">◆ </a></span>PI</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">#define PI   3.14159265</td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+<p>Pi, the ratio of a circle's circumference to its diameter. </p>
+
+<p class="definition">Definition at line <a class="el" href="norm__dist__rnd__generator_8h_source.html#l00033">33</a> of file <a class="el" href="norm__dist__rnd__generator_8h_source.html">norm_dist_rnd_generator.h</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Function Documentation</h2>
+<a id="a35eb81d6885b8d16d225b230f88a919a"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a35eb81d6885b8d16d225b230f88a919a">◆ </a></span>get_norm_distr_rand_num()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">double get_norm_distr_rand_num </td>
+ <td>(</td>
+ <td class="paramtype">double </td>
+ <td class="paramname"><em>mean_val</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">double </td>
+ <td class="paramname"><em>std_dev_val</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Get a normally distributed random number by applying the Box–Muller method. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">mean_val</td><td>mean value. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">std_dev_val</td><td>standard deviation.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>normally distributed random number. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="norm__dist__rnd__generator_8c_source.html#l00040">40</a> of file <a class="el" href="norm__dist__rnd__generator_8c_source.html">norm_dist_rnd_generator.c</a>.</p>
+
+<p class="reference">References <a class="el" href="norm__dist__rnd__generator_8c_source.html#l00080">get_rand_num()</a>, and <a class="el" href="norm__dist__rnd__generator_8h_source.html#l00033">PI</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="multipath__dist__detection__mitigation_8c_source.html#l00078">sim_UWB_dist()</a>.</p>
+
+</div>
+</div>
+<a id="a58c36346c01fb7f1a336a610b177b903"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a58c36346c01fb7f1a336a610b177b903">◆ </a></span>get_rand_num()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">double get_rand_num </td>
+ <td>(</td>
+ <td class="paramtype">int </td>
+ <td class="paramname"><em>initial_seed_val</em></td><td>)</td>
+ <td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Generate uniform (0.0, 1.0) random numbers by using the Linear Congruential Generator (LGC) algorithm. </p>
+<dl class="section note"><dt>Note</dt><dd>The LGC is implemented based on the following book: R. Jain, "The Art of Computer Systems Performance Analysis," John Wiley & Sons, 1991.</dd></dl>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">initial_seed_val</td><td>initial seed value.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>random number between 0.0 and 1.0. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="norm__dist__rnd__generator_8c_source.html#l00080">80</a> of file <a class="el" href="norm__dist__rnd__generator_8c_source.html">norm_dist_rnd_generator.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="norm__dist__rnd__generator_8c_source.html#l00040">get_norm_distr_rand_num()</a>, and <a class="el" href="multipath__dist__detection__mitigation_8c_source.html#l00078">sim_UWB_dist()</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="navelem"><a class="el" href="dir_8c4128baa09a573ad2b8b8c0061a04c9.html">linear_algebra</a></li><li class="navelem"><a class="el" href="dir_08749d3fb0d5743bfaf3c7bce248dc40.html">utilities</a></li><li class="navelem"><a class="el" href="dir_d5f52845b1ed776b4ff9f3c6f4225d4b.html">include</a></li><li class="navelem"><a class="el" href="norm__dist__rnd__generator_8h.html">norm_dist_rnd_generator.h</a></li>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
+ </ul>
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+</body>
+</html>
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new file mode 100644
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+var norm__dist__rnd__generator_8h =
+[
+ [ "PI", "norm__dist__rnd__generator_8h.html#a598a3330b3c21701223ee0ca14316eca", null ],
+ [ "get_norm_distr_rand_num", "norm__dist__rnd__generator_8h.html#a35eb81d6885b8d16d225b230f88a919a", null ],
+ [ "get_rand_num", "norm__dist__rnd__generator_8h.html#a58c36346c01fb7f1a336a610b177b903", null ]
+];
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+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+ <td id="projectalign" style="padding-left: 0.5em;">
+ <div id="projectname">RcdMathLib_doc
+ </div>
+ <div id="projectbrief">Open Source Library for Linear and Non-linear Algebra</div>
+ </td>
+ </tr>
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+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.16 -->
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+/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&dn=gpl-2.0.txt GPL-v2 */
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+/* @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>
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+
+<div class="header">
+ <div class="headertitle">
+<div class="title">norm_dist_rnd_generator.h</div> </div>
+</div><!--header-->
+<div class="contents">
+<a href="norm__dist__rnd__generator_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="comment">// COMBINATORICS_H_</span></div>
+<div class="line"><a name="l00025"></a><span class="lineno"> 25</span>  </div>
+<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="preprocessor">#ifndef NORM_DIST_RND_GENERATOR_H_</span></div>
+<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="preprocessor">#define NORM_DIST_RND_GENERATOR_H_</span></div>
+<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>  </div>
+<div class="line"><a name="l00033"></a><span class="lineno"><a class="line" href="norm__dist__rnd__generator_8h.html#a598a3330b3c21701223ee0ca14316eca"> 33</a></span> <span class="preprocessor">#define PI 3.14159265</span></div>
+<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  </div>
+<div class="line"><a name="l00035"></a><span class="lineno"> 35</span> <span class="keywordtype">double</span> <a class="code" href="norm__dist__rnd__generator_8h.html#a35eb81d6885b8d16d225b230f88a919a">get_norm_distr_rand_num</a>(<span class="keywordtype">double</span> mean, <span class="keywordtype">double</span> std_dev);</div>
+<div class="line"><a name="l00036"></a><span class="lineno"> 36</span> <span class="keywordtype">double</span> <a class="code" href="norm__dist__rnd__generator_8h.html#a58c36346c01fb7f1a336a610b177b903">get_rand_num</a>(<span class="keywordtype">int</span> seed);</div>
+<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  </div>
+<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  </div>
+<div class="line"><a name="l00039"></a><span class="lineno"> 39</span> <span class="preprocessor">#endif </span><span class="comment">/* NORM_DIST_RND_GENERATOR_H_ */</span><span class="preprocessor"></span></div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="anorm__dist__rnd__generator_8h_html_a58c36346c01fb7f1a336a610b177b903"><div class="ttname"><a href="norm__dist__rnd__generator_8h.html#a58c36346c01fb7f1a336a610b177b903">get_rand_num</a></div><div class="ttdeci">double get_rand_num(int seed)</div><div class="ttdoc">Generate uniform (0.0, 1.0) random numbers by using the Linear Congruential Generator (LGC) algorithm...</div><div class="ttdef"><b>Definition:</b> <a href="norm__dist__rnd__generator_8c_source.html#l00080">norm_dist_rnd_generator.c:80</a></div></div>
+<div class="ttc" id="anorm__dist__rnd__generator_8h_html_a35eb81d6885b8d16d225b230f88a919a"><div class="ttname"><a href="norm__dist__rnd__generator_8h.html#a35eb81d6885b8d16d225b230f88a919a">get_norm_distr_rand_num</a></div><div class="ttdeci">double get_norm_distr_rand_num(double mean, double std_dev)</div><div class="ttdoc">Get a normally distributed random number by applying the Box–Muller method.</div><div class="ttdef"><b>Definition:</b> <a href="norm__dist__rnd__generator_8c_source.html#l00040">norm_dist_rnd_generator.c:40</a></div></div>
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+<a href="#func-members">Functions</a> </div>
+ <div class="headertitle">
+<div class="title">optimization_test.c File Reference</div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Examples of optimization algorithms.
+<a href="#details">More...</a></p>
+<div class="textblock"><code>#include <stdio.h></code><br />
+<code>#include <math.h></code><br />
+<code>#include "<a class="el" href="matrix_8h_source.html">matrix.h</a>"</code><br />
+<code>#include "<a class="el" href="vector_8h_source.html">vector.h</a>"</code><br />
+<code>#include "<a class="el" href="levenberg__marquardt_8h_source.html">levenberg_marquardt.h</a>"</code><br />
+<code>#include "<a class="el" href="modified__gauss__newton_8h_source.html">modified_gauss_newton.h</a>"</code><br />
+</div>
+<p><a href="optimization__test_8c_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ac7361316d224b72baa4a681297d9f51c"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="optimization__test_8c.html#ac7361316d224b72baa4a681297d9f51c">optimization_get_J</a> (<a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x0_vec[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J[][3])</td></tr>
+<tr class="memdesc:ac7361316d224b72baa4a681297d9f51c"><td class="mdescLeft"> </td><td class="mdescRight">Calculate the Jacobian matrix of the function <a class="el" href="optimization__test_8c.html#a610651298b8018db96cf21ee31740d3b">optimization_get_f_error</a>. <a href="optimization__test_8c.html#ac7361316d224b72baa4a681297d9f51c">More...</a><br /></td></tr>
+<tr class="separator:ac7361316d224b72baa4a681297d9f51c"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a610651298b8018db96cf21ee31740d3b"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="optimization__test_8c.html#a610651298b8018db96cf21ee31740d3b">optimization_get_f_error</a> (<a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x0_vec[], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> measured_data_vec[], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> f_vec[])</td></tr>
+<tr class="memdesc:a610651298b8018db96cf21ee31740d3b"><td class="mdescLeft"> </td><td class="mdescRight">Calculate the error vector of the approximation. <a href="optimization__test_8c.html#a610651298b8018db96cf21ee31740d3b">More...</a><br /></td></tr>
+<tr class="separator:a610651298b8018db96cf21ee31740d3b"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a1062ae4598fabcf957ec0b855737db20"><td class="memItemLeft" align="right" valign="top"><a id="a1062ae4598fabcf957ec0b855737db20"></a>
+void </td><td class="memItemRight" valign="bottom"><a class="el" href="optimization__test_8c.html#a1062ae4598fabcf957ec0b855737db20">optimization_test</a> (void)</td></tr>
+<tr class="memdesc:a1062ae4598fabcf957ec0b855737db20"><td class="mdescLeft"> </td><td class="mdescRight">Examples of optimization algorithms using the LVM and GN algorithms. <br /></td></tr>
+<tr class="separator:a1062ae4598fabcf957ec0b855737db20"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:ac11e842f01767e97924c100df684476d"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="optimization__test_8c.html#ac11e842f01767e97924c100df684476d">optimization_get_exp_f</a> (<a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_vec[], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> data_vec[], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> f_vec[])</td></tr>
+<tr class="memdesc:ac11e842f01767e97924c100df684476d"><td class="mdescLeft"> </td><td class="mdescRight">Calculate the error vector using exponential data. <a href="optimization__test_8c.html#ac11e842f01767e97924c100df684476d">More...</a><br /></td></tr>
+<tr class="separator:ac11e842f01767e97924c100df684476d"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a98fdeac6ec9a38cb63f48e7c0f0085f0"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="optimization__test_8c.html#a98fdeac6ec9a38cb63f48e7c0f0085f0">optimization_get_exp_Jacobian</a> (<a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_vec[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J[][2])</td></tr>
+<tr class="memdesc:a98fdeac6ec9a38cb63f48e7c0f0085f0"><td class="mdescLeft"> </td><td class="mdescRight">Calculate the Jacobian matrix using exponential data. <a href="optimization__test_8c.html#a98fdeac6ec9a38cb63f48e7c0f0085f0">More...</a><br /></td></tr>
+<tr class="separator:a98fdeac6ec9a38cb63f48e7c0f0085f0"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a5f1f1ed377535a6d4c5758c38174fcb9"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="optimization__test_8c.html#a5f1f1ed377535a6d4c5758c38174fcb9">optimization_exponential_data_test</a> (void)</td></tr>
+<tr class="memdesc:a5f1f1ed377535a6d4c5758c38174fcb9"><td class="mdescLeft"> </td><td class="mdescRight">Examples of optimization algorithms using exponential data. <a href="optimization__test_8c.html#a5f1f1ed377535a6d4c5758c38174fcb9">More...</a><br /></td></tr>
+<tr class="separator:a5f1f1ed377535a6d4c5758c38174fcb9"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a1daefb42bf903899e7e1d5237ba62c0b"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="optimization__test_8c.html#a1daefb42bf903899e7e1d5237ba62c0b">optimization_get_sin_f</a> (<a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_vec[], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> data_vec[], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> f_vec[])</td></tr>
+<tr class="memdesc:a1daefb42bf903899e7e1d5237ba62c0b"><td class="mdescLeft"> </td><td class="mdescRight">Calculate the error vector using sinusoidal data. <a href="optimization__test_8c.html#a1daefb42bf903899e7e1d5237ba62c0b">More...</a><br /></td></tr>
+<tr class="separator:a1daefb42bf903899e7e1d5237ba62c0b"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:acb161b62c37921a9edd0cb7aeb76342a"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="optimization__test_8c.html#acb161b62c37921a9edd0cb7aeb76342a">optimization_get_sin_Jacobian</a> (<a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_vec[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J[][4])</td></tr>
+<tr class="memdesc:acb161b62c37921a9edd0cb7aeb76342a"><td class="mdescLeft"> </td><td class="mdescRight">Calculate the Jacobian matrix using sinusoidal data. <a href="optimization__test_8c.html#acb161b62c37921a9edd0cb7aeb76342a">More...</a><br /></td></tr>
+<tr class="separator:acb161b62c37921a9edd0cb7aeb76342a"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a5f89a9747d6a7bec1ad0a80ba31647b9"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="optimization__test_8c.html#a5f89a9747d6a7bec1ad0a80ba31647b9">optimization_sinusoidal_data_test</a> (void)</td></tr>
+<tr class="memdesc:a5f89a9747d6a7bec1ad0a80ba31647b9"><td class="mdescLeft"> </td><td class="mdescRight">Examples of optimization algorithms using sinusoidal data. <a href="optimization__test_8c.html#a5f89a9747d6a7bec1ad0a80ba31647b9">More...</a><br /></td></tr>
+<tr class="separator:a5f89a9747d6a7bec1ad0a80ba31647b9"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Examples of optimization algorithms. </p>
+<p>Optimization algorithms examples (see the <a class="el" href="modified__gauss__newton_8h.html">modified GN</a> and <a class="el" href="levenberg__marquardt_8h.html">LVM</a> optimization methods).</p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="optimization__test_8c_source.html">optimization_test.c</a>.</p>
+</div><h2 class="groupheader">Function Documentation</h2>
+<a id="a5f1f1ed377535a6d4c5758c38174fcb9"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a5f1f1ed377535a6d4c5758c38174fcb9">◆ </a></span>optimization_exponential_data_test()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void optimization_exponential_data_test </td>
+ <td>(</td>
+ <td class="paramtype">void </td>
+ <td class="paramname"></td><td>)</td>
+ <td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Examples of optimization algorithms using exponential data. </p>
+<p>The model function is: <img class="formulaInl" alt="$ g(\vec{x}, t) = x_1 \mathrm{e}^{x_2t}, $" src="form_4.png"/> where <img class="formulaInl" alt="$\vec{x} = [x_1, x_2]^T$" src="form_5.png"/> and <img class="formulaInl" alt="$ \vec{x_0} = [6,.3]$" src="form_6.png"/> is the initial guess. The data set is <img class="formulaInl" alt="$ d(t_i, y_i)$" src="form_7.png"/>, whereby <img class="formulaInl" alt="$ t_i $" src="form_8.png"/> is equal to <img class="formulaInl" alt="$ \lbrace 1, \hdots, 8 \rbrace$" src="form_9.png"/> and <img class="formulaInl" alt="$ y_i$" src="form_10.png"/> is equal to <img class="formulaInl" alt="$\lbrace 8.3, 11.0, 14.7, 19.7, 26.7, 35.2, 44.4, 55.9 \rbrace $" src="form_11.png"/>. </p>
+
+<p class="definition">Definition at line <a class="el" href="optimization__test_8c_source.html#l00264">264</a> of file <a class="el" href="optimization__test_8c_source.html">optimization_test.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>, <a class="el" href="modified__gauss__newton_8c_source.html#l00032">modified_gauss_newton()</a>, <a class="el" href="levenberg__marquardt_8c_source.html#l00143">opt_levenberg_marquardt()</a>, <a class="el" href="optimization__test_8c_source.html#l00215">optimization_get_exp_f()</a>, <a class="el" href="optimization__test_8c_source.html#l00251">optimization_get_exp_Jacobian()</a>, <a class="el" href="vector_8c_source.html#l00032">vector_clear()</a>, and <a class="el" href="vector_8h_source.html#l00033">vector_t</a>.</p>
+
+</div>
+</div>
+<a id="ac11e842f01767e97924c100df684476d"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#ac11e842f01767e97924c100df684476d">◆ </a></span>optimization_get_exp_f()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void optimization_get_exp_f </td>
+ <td>(</td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>x_vec</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>data_vec</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>f_vec</em>[] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Calculate the error vector using exponential data. </p>
+<p>The error function is: <img class="formulaInl" alt="$ \vec{f}(x_1, x_2) = \begin{bmatrix} x_1 \mathrm{e}^{x_2} - y_1, ~\hdots, x_1\mathrm{e}^{8x_2}-y_8 \end{bmatrix}^{T}, $" src="form_0.png"/></p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">x_vec[]</td><td>start vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">data_vec[]</td><td>data vector. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">f_vec[]</td><td>calculated error vector. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="optimization__test_8c_source.html#l00215">215</a> of file <a class="el" href="optimization__test_8c_source.html">optimization_test.c</a>.</p>
+
+<p class="reference">References <a class="el" href="vector_8h_source.html#l00033">vector_t</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="optimization__test_8c_source.html#l00264">optimization_exponential_data_test()</a>.</p>
+
+</div>
+</div>
+<a id="a98fdeac6ec9a38cb63f48e7c0f0085f0"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a98fdeac6ec9a38cb63f48e7c0f0085f0">◆ </a></span>optimization_get_exp_Jacobian()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void optimization_get_exp_Jacobian </td>
+ <td>(</td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>x_vec</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>J</em>[][2] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Calculate the Jacobian matrix using exponential data. </p>
+<p>The Jacobian matrix is: <img class="formulaInl" alt="$ {J_f} = \begin{bmatrix} \frac{\partial f_1}{\partial x1} & \frac{\partial f_1}{\partial x_2} \\ \frac{\partial f_2}{\partial x1} & \frac{\partial f_2}{\partial x_2} \\ \vdots & \vdots & \\ \frac{\partial f_n}{\partial x1} & \frac{\partial f_n}{\partial x_2} \\ \end{bmatrix} = \begin{bmatrix} \mathrm{e}^{x_2} & \mathrm{e}^{x_2} x_1\\ \mathrm{e}^{2 x_2} & 2\mathrm{e}^{2x_2} x_1 \\ \vdots & \vdots & \\ \mathrm{e}^{8 x_2} & 8\mathrm{e}^{8x_2} x_1 \\ \end{bmatrix}. $" src="form_1.png"/></p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">x_vec[]</td><td>start vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">J[]</td><td>Jacobian matrix. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="optimization__test_8c_source.html#l00251">251</a> of file <a class="el" href="optimization__test_8c_source.html">optimization_test.c</a>.</p>
+
+<p class="reference">References <a class="el" href="vector_8h_source.html#l00033">vector_t</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="optimization__test_8c_source.html#l00264">optimization_exponential_data_test()</a>.</p>
+
+</div>
+</div>
+<a id="a610651298b8018db96cf21ee31740d3b"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a610651298b8018db96cf21ee31740d3b">◆ </a></span>optimization_get_f_error()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void optimization_get_f_error </td>
+ <td>(</td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>x0_vec</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>measured_data_vec</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>f_vec</em>[] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Calculate the error vector of the approximation. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">x0_vec[]</td><td>start values. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">measured_data_vec[]</td><td>measured data vector. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">f_vec[]</td><td>calculated error vector. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="optimization__test_8c_source.html#l00070">70</a> of file <a class="el" href="optimization__test_8c_source.html">optimization_test.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="optimization__test_8c_source.html#l00101">optimization_test()</a>.</p>
+
+</div>
+</div>
+<a id="ac7361316d224b72baa4a681297d9f51c"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#ac7361316d224b72baa4a681297d9f51c">◆ </a></span>optimization_get_J()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void optimization_get_J </td>
+ <td>(</td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>x0_vec</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>J</em>[][3] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Calculate the Jacobian matrix of the function <a class="el" href="optimization__test_8c.html#a610651298b8018db96cf21ee31740d3b">optimization_get_f_error</a>. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">x0_vec[]</td><td>start values. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">J[][]</td><td>calculated Jacobian matrix. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="optimization__test_8c_source.html#l00039">39</a> of file <a class="el" href="optimization__test_8c_source.html">optimization_test.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="optimization__test_8c_source.html#l00101">optimization_test()</a>.</p>
+
+</div>
+</div>
+<a id="a1daefb42bf903899e7e1d5237ba62c0b"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a1daefb42bf903899e7e1d5237ba62c0b">◆ </a></span>optimization_get_sin_f()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void optimization_get_sin_f </td>
+ <td>(</td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>x_vec</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>data_vec</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>f_vec</em>[] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Calculate the error vector using sinusoidal data. </p>
+<p>The error function is: <img class="formulaInl" alt="$ \vec{f}(x_1, x_2, x_3, x_4)= \begin{bmatrix} x_1 \sin\left( x_2 +x_3\right) +x_4 - y_1 \\ \vdots \\ x_1 \sin\left( 12 x_2 +x_3\right) +x_4 - y_{12} \end{bmatrix}. $" src="form_2.png"/></p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">x_vec[]</td><td>start vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">data_vec[]</td><td>data vector. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">f_vec[]</td><td>calculated error vector. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="optimization__test_8c_source.html#l00325">325</a> of file <a class="el" href="optimization__test_8c_source.html">optimization_test.c</a>.</p>
+
+<p class="reference">References <a class="el" href="vector_8h_source.html#l00033">vector_t</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="optimization__test_8c_source.html#l00376">optimization_sinusoidal_data_test()</a>.</p>
+
+</div>
+</div>
+<a id="acb161b62c37921a9edd0cb7aeb76342a"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#acb161b62c37921a9edd0cb7aeb76342a">◆ </a></span>optimization_get_sin_Jacobian()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void optimization_get_sin_Jacobian </td>
+ <td>(</td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>x_vec</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>J</em>[][4] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Calculate the Jacobian matrix using sinusoidal data. </p>
+<p>The Jacobian matrix is <img class="formulaInl" alt="$ J_f = \left[\begin{matrix} \sin\left( x_2 +x_3\right) & x_1 \cos\left( x_2 +x_3\right) & x_1\cos\left( x_2 +x_3\right) \\ \sin\left( 2 x_2 +x_3\right) & 2 x_1 \cos\left( 2 x_2 +x_3\right) & x_1 \cos\left( 2 x_2 +x_3\right)\\ \vdots & \vdots \\ \sin\left( 12 x_2 +x_3\right) & 12 x_1 \cos\left( 12 x_2 +x_3\right) & x_1 \cos\left( 12 x_2 +x_3\right) \end{matrix}\right]. $" src="form_3.png"/></p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">x_vec[]</td><td>start vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">J[]</td><td>Jacobian matrix. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="optimization__test_8c_source.html#l00360">360</a> of file <a class="el" href="optimization__test_8c_source.html">optimization_test.c</a>.</p>
+
+<p class="reference">References <a class="el" href="vector_8h_source.html#l00033">vector_t</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="optimization__test_8c_source.html#l00376">optimization_sinusoidal_data_test()</a>.</p>
+
+</div>
+</div>
+<a id="a5f89a9747d6a7bec1ad0a80ba31647b9"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a5f89a9747d6a7bec1ad0a80ba31647b9">◆ </a></span>optimization_sinusoidal_data_test()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void optimization_sinusoidal_data_test </td>
+ <td>(</td>
+ <td class="paramtype">void </td>
+ <td class="paramname"></td><td>)</td>
+ <td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Examples of optimization algorithms using sinusoidal data. </p>
+<p>The model function is: <img class="formulaInl" alt="$ g(\vec{x}, t) = x_1 \sin\left( x_2t +x_3\right) + x_4, $" src="form_12.png"/> whereby <img class="formulaInl" alt="$\vec{x} = [x_1, x_2, x_3, x_4]^T$" src="form_13.png"/> and <img class="formulaInl" alt="$\vec{x_0} = [17, 0.5, 10.5, 77]$" src="form_14.png"/> is the initial guess. The set of data points is <img class="formulaInl" alt="$ d(t_i, y_i) $" src="form_15.png"/>, where <img class="formulaInl" alt="$t_i $" src="form_16.png"/> is equal to <img class="formulaInl" alt="$\lbrace 1, \hdots, 12 \rbrace$" src="form_17.png"/> and <img class="formulaInl" alt="$y_i$" src="form_18.png"/> is equal to <img class="formulaInl" alt="$\lbrace 61, 65, 72, 78, 85, 90, 92, 92, 88, 81, 72, 63 \rbrace$" src="form_19.png"/>. </p>
+
+<p class="definition">Definition at line <a class="el" href="optimization__test_8c_source.html#l00376">376</a> of file <a class="el" href="optimization__test_8c_source.html">optimization_test.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>, <a class="el" href="modified__gauss__newton_8c_source.html#l00032">modified_gauss_newton()</a>, <a class="el" href="levenberg__marquardt_8c_source.html#l00143">opt_levenberg_marquardt()</a>, <a class="el" href="optimization__test_8c_source.html#l00325">optimization_get_sin_f()</a>, <a class="el" href="optimization__test_8c_source.html#l00360">optimization_get_sin_Jacobian()</a>, <a class="el" href="vector_8c_source.html#l00032">vector_clear()</a>, and <a class="el" href="vector_8h_source.html#l00033">vector_t</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="navelem"><a class="el" href="dir_d28a4824dc47e487b107a5db32ef43c4.html">examples</a></li><li class="navelem"><a class="el" href="dir_e8f51c8b3be94f3d6e82400eb763d9de.html">non_linear_algebra</a></li><li class="navelem"><a class="el" href="dir_639c02752b2f8f0dbd6bec97ff3b969d.html">optimization</a></li><li class="navelem"><a class="el" href="optimization__test_8c.html">optimization_test.c</a></li>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
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+ [ "optimization_get_exp_f", "optimization__test_8c.html#ac11e842f01767e97924c100df684476d", null ],
+ [ "optimization_get_exp_Jacobian", "optimization__test_8c.html#a98fdeac6ec9a38cb63f48e7c0f0085f0", null ],
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+ [ "optimization_get_J", "optimization__test_8c.html#ac7361316d224b72baa4a681297d9f51c", null ],
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+ <div id="projectname">RcdMathLib_doc
+ </div>
+ <div id="projectbrief">Open Source Library for Linear and Non-linear Algebra</div>
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+<div class="title">optimization_test.c</div> </div>
+</div><!--header-->
+<div class="contents">
+<a href="optimization__test_8c.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="preprocessor">#include <stdio.h></span></div>
+<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#include <math.h></span></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="preprocessor">#include "<a class="code" href="matrix_8h.html">matrix.h</a>"</span></div>
+<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="preprocessor">#include "<a class="code" href="vector_8h.html">vector.h</a>"</span></div>
+<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="preprocessor">#include "<a class="code" href="levenberg__marquardt_8h.html">levenberg_marquardt.h</a>"</span></div>
+<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="preprocessor">#include "<a class="code" href="modified__gauss__newton_8h.html">modified_gauss_newton.h</a>"</span></div>
+<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  </div>
+<div class="line"><a name="l00039"></a><span class="lineno"><a class="line" href="optimization__test_8c.html#ac7361316d224b72baa4a681297d9f51c"> 39</a></span> <span class="keywordtype">void</span> <a class="code" href="optimization__test_8c.html#ac7361316d224b72baa4a681297d9f51c">optimization_get_J</a>(<a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x0_vec[], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J[][3])</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>  uint8_t i;</div>
+<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> denom;</div>
+<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  uint8_t row_num = 4;</div>
+<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  </div>
+<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_value_matrix[4][3] = { { 0, 0, 1.67 },</div>
+<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  { 4.5, 0, 0.75 },</div>
+<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  { 4.5, 4.45, 0.75 },</div>
+<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  { 0, 4.92, 0.86 } };</div>
+<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  </div>
+<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  <span class="keywordflow">for</span> (i = 0; i < row_num; i++) {</div>
+<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  denom = sqrt(pow(x0_vec[0] - ref_value_matrix[i][0], 2) +</div>
+<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  pow(x0_vec[1] - ref_value_matrix[i][1], 2) +</div>
+<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  pow(x0_vec[2] - ref_value_matrix[i][2], 2));</div>
+<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  <span class="keywordflow">if</span> (denom != 0) {</div>
+<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  J[i][0] = (x0_vec[0] - ref_value_matrix[i][0]) / denom;</div>
+<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  J[i][1] = (x0_vec[1] - ref_value_matrix[i][1]) / denom;</div>
+<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  J[i][2] = (x0_vec[2] - ref_value_matrix[i][2]) / denom;</div>
+<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  }</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="l00070"></a><span class="lineno"><a class="line" href="optimization__test_8c.html#a610651298b8018db96cf21ee31740d3b"> 70</a></span> <span class="keywordtype">void</span> <a class="code" href="optimization__test_8c.html#a610651298b8018db96cf21ee31740d3b">optimization_get_f_error</a>(<a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x0_vec[], <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> measured_data_vec[],</div>
+<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> f_vec[])</div>
+<div class="line"><a name="l00072"></a><span class="lineno"> 72</span> {</div>
+<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  uint8_t i;</div>
+<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  uint8_t row_num = 4;</div>
+<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_point_mat[4][3] = { { 0, 0, 1.67 },</div>
+<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  { 4.5, 0, 0.75 },</div>
+<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  { 4.5, 4.45, 0.75 },</div>
+<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  { 0, 4.92, 0.86 } };</div>
+<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  </div>
+<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  <span class="keywordflow">for</span> (i = 0; i < row_num; i++) {</div>
+<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  f_vec[i] =</div>
+<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  sqrt(</div>
+<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  (x0_vec[0] - ref_point_mat[i][0])</div>
+<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  * (x0_vec[0]</div>
+<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  - ref_point_mat[i][0])</div>
+<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  +</div>
+<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  (x0_vec[1]</div>
+<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  - ref_point_mat[i][1])</div>
+<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  * (x0_vec[1]</div>
+<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  - ref_point_mat[i][1])</div>
+<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  +</div>
+<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  (x0_vec[2]</div>
+<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  - ref_point_mat[i][2])</div>
+<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  * (x0_vec[2]</div>
+<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  - ref_point_mat[i][2])</div>
+<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  )</div>
+<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  - measured_data_vec[i];</div>
+<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  }</div>
+<div class="line"><a name="l00099"></a><span class="lineno"> 99</span> }</div>
+<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  </div>
+<div class="line"><a name="l00101"></a><span class="lineno"><a class="line" href="optimization__test_8c.html#a1062ae4598fabcf957ec0b855737db20"> 101</a></span> <span class="keywordtype">void</span> <a class="code" href="optimization__test_8c.html#a1062ae4598fabcf957ec0b855737db20">optimization_test</a>(<span class="keywordtype">void</span>)</div>
+<div class="line"><a name="l00102"></a><span class="lineno"> 102</span> {</div>
+<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  puts(</div>
+<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  <span class="stringliteral">"***************** Optimization test *****************"</span>);</div>
+<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  </div>
+<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> true_values_matrix[9][3] = {</div>
+<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  { 1, 1, 0 }, <span class="comment">// T1</span></div>
+<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  { 1, 2, 0 }, <span class="comment">// T2</span></div>
+<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  { 1, 3, 0 }, <span class="comment">// T3</span></div>
+<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  { 2, 1, 0 }, <span class="comment">// T4</span></div>
+<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  { 2, 2, 0 }, <span class="comment">// T5</span></div>
+<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  { 2, 3, 0 }, <span class="comment">// T6</span></div>
+<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  { 3, 1, 0 }, <span class="comment">// T7</span></div>
+<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  { 3, 2, 0 }, <span class="comment">// T8</span></div>
+<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  { 3, 3, 0 }, <span class="comment">// T9</span></div>
+<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  };</div>
+<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  </div>
+<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> x0_matrix[9][3] = {</div>
+<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  { 0.9645166, 0.9894337, -0.1127879 }, <span class="comment">// X0_1</span></div>
+<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  { 0.9706874, 1.9937843, -0.0767517 }, <span class="comment">// X0_2</span></div>
+<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  { 0.9759567, 2.9980380, -0.0421651 }, <span class="comment">// X0_3</span></div>
+<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  { 1.9666907, 0.9892634, -0.1184331 }, <span class="comment">// X0_4</span></div>
+<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  { 1.9734193, 1.9945307, -0.0776960 }, <span class="comment">// X0_5</span></div>
+<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  { 1.9791861, 2.9997600, -0.0385668 }, <span class="comment">// X0_6</span></div>
+<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  { 2.9676093, 0.9886335, -0.1290797 }, <span class="comment">// X0_7</span></div>
+<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  { 2.9749588, 1.9950495, -0.0824135 }, <span class="comment">// X0_8</span></div>
+<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  { 2.9814874, 3.0015139, -0.0370967 }, <span class="comment">// X0_9</span></div>
+<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  };</div>
+<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  </div>
+<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> measured_values_matrix[9][4] = {</div>
+<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  { 2.189355547, 3.732117187, 4.992518309, 4.126940038 }, <span class="comment">// M1</span></div>
+<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  { 2.791860082, 4.115904867, 4.358726079, 3.195059925 }, <span class="comment">// M2</span></div>
+<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  { 3.577157155, 4.685985423, 3.883094303, 2.320377599 }, <span class="comment">// M3</span></div>
+<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  { 2.791860082, 2.810684972, 4.347183679, 4.474971454 }, <span class="comment">// M4</span></div>
+<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  { 3.285646100, 3.303836609, 3.600904464, 3.633252051 }, <span class="comment">// M5</span></div>
+<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  { 3.974524884, 3.992093430, 3.006899725, 2.893757310 }, <span class="comment">// M6</span></div>
+<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  { 3.577157155, 1.968162419, 3.857113556, 5.001588788 }, <span class="comment">// M7</span></div>
+<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  { 3.974524884, 2.625676627, 2.990106568, 4.264874121 }, <span class="comment">// M8</span></div>
+<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  { 4.560484620, 3.452531771, 2.238079928, 3.655150652 }, <span class="comment">// M9</span></div>
+<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  };</div>
+<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  </div>
+<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  uint8_t vector_values_num = 9;</div>
+<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  uint8_t f_length = 4;</div>
+<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  uint8_t i;</div>
+<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  </div>
+<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  <span class="comment">//GN & LVM-parameters</span></div>
+<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> fmin = 1e-11;</div>
+<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> eps = 1e-3;</div>
+<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> beta0 = 0.2;</div>
+<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> beta1 = 0.8;</div>
+<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> tau = 1e-6;</div>
+<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>  uint8_t max_iter_num = 100;</div>
+<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>  uint8_t iter_num;</div>
+<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> est_values_vec[3];</div>
+<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  </div>
+<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>  printf(<span class="stringliteral">"\nseeked_values_matrix = "</span>);</div>
+<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  <a class="code" href="matrix_8h.html#a82f374a9b8b215f0ef53d35401eae524">matrix_flex_print</a>(vector_values_num, 3, true_values_matrix, 7, 3);</div>
+<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  </div>
+<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  puts(<span class="stringliteral">"############## PARAMETERS #################"</span>);</div>
+<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>  printf(<span class="stringliteral">"eps = %.0e\ntau = %.0e\nfmin = %.0e\n"</span>, eps, tau, fmin);</div>
+<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  </div>
+<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>  <span class="keywordflow">for</span> (i = 0; i < vector_values_num; i++) {</div>
+<div class="line"><a name="l00164"></a><span class="lineno"> 164</span> <span class="comment"> /************************************** Gauss-Newton **************************************/</span></div>
+<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>  </div>
+<div class="line"><a name="l00166"></a><span class="lineno"> 166</span>  printf(</div>
+<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>  <span class="stringliteral">"\n----------------------------------------- T%u ----------------------------------\n"</span>,</div>
+<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>  i + 1);</div>
+<div class="line"><a name="l00169"></a><span class="lineno"> 169</span>  printf(<span class="stringliteral">"true vector value = {%.4f, %.4f, %.4f}\n"</span>,</div>
+<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>  true_values_matrix[i][0],</div>
+<div class="line"><a name="l00171"></a><span class="lineno"> 171</span>  true_values_matrix[i][1],</div>
+<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>  true_values_matrix[i][2]);</div>
+<div class="line"><a name="l00173"></a><span class="lineno"> 173</span>  printf(<span class="stringliteral">"start vector value = "</span>);</div>
+<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>  <a class="code" href="vector_8h.html#ab2827264910e858f238868695a92db4b">vector_flex_print</a>(3, x0_matrix[i], 5, 7);</div>
+<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>  </div>
+<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>  iter_num = <a class="code" href="modified__gauss__newton_8h.html#a7376799043ad2c27fac02371624051bc">modified_gauss_newton</a>(f_length, 3, x0_matrix[i],</div>
+<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>  measured_values_matrix[i], eps, fmin,</div>
+<div class="line"><a name="l00179"></a><span class="lineno"> 179</span>  max_iter_num, est_values_vec,</div>
+<div class="line"><a name="l00180"></a><span class="lineno"> 180</span>  &<a class="code" href="optimization__test_8c.html#a610651298b8018db96cf21ee31740d3b">optimization_get_f_error</a>, &<a class="code" href="optimization__test_8c.html#ac7361316d224b72baa4a681297d9f51c">optimization_get_J</a>);</div>
+<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>  printf(<span class="stringliteral">"Gauss-Newton solution = "</span>);</div>
+<div class="line"><a name="l00182"></a><span class="lineno"> 182</span>  <a class="code" href="vector_8h.html#ab2827264910e858f238868695a92db4b">vector_flex_print</a>(3, est_values_vec, 5, 7);</div>
+<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>  printf(<span class="stringliteral">"iteration number = %u\n"</span>, iter_num);</div>
+<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>  </div>
+<div class="line"><a name="l00186"></a><span class="lineno"> 186</span>  <a class="code" href="vector_8h.html#a758d38ad9623aa8c385bce765a3b7d17">vector_clear</a>((uint8_t)3, est_values_vec);</div>
+<div class="line"><a name="l00187"></a><span class="lineno"> 187</span>  iter_num = <a class="code" href="levenberg__marquardt_8h.html#a2a72b2b6be15a9998b61a9c0097e3d5f">opt_levenberg_marquardt</a>(f_length, 3, x0_matrix[i],</div>
+<div class="line"><a name="l00188"></a><span class="lineno"> 188</span>  measured_values_matrix[i], eps, tau,</div>
+<div class="line"><a name="l00189"></a><span class="lineno"> 189</span>  beta0, beta1, max_iter_num,</div>
+<div class="line"><a name="l00190"></a><span class="lineno"> 190</span>  est_values_vec, &<a class="code" href="optimization__test_8c.html#a610651298b8018db96cf21ee31740d3b">optimization_get_f_error</a>,</div>
+<div class="line"><a name="l00191"></a><span class="lineno"> 191</span>  <a class="code" href="optimization__test_8c.html#ac7361316d224b72baa4a681297d9f51c">optimization_get_J</a>);</div>
+<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>  printf(<span class="stringliteral">"Levenberg-Marquardt solution = "</span>);</div>
+<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>  <a class="code" href="vector_8h.html#ab2827264910e858f238868695a92db4b">vector_flex_print</a>(3, est_values_vec, 5, 7);</div>
+<div class="line"><a name="l00194"></a><span class="lineno"> 194</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00195"></a><span class="lineno"> 195</span>  printf(<span class="stringliteral">"iteration number = %u"</span>, iter_num);</div>
+<div class="line"><a name="l00196"></a><span class="lineno"> 196</span>  }</div>
+<div class="line"><a name="l00197"></a><span class="lineno"> 197</span> }</div>
+<div class="line"><a name="l00198"></a><span class="lineno"> 198</span>  </div>
+<div class="line"><a name="l00199"></a><span class="lineno"> 199</span>  </div>
+<div class="line"><a name="l00215"></a><span class="lineno"><a class="line" href="optimization__test_8c.html#ac11e842f01767e97924c100df684476d"> 215</a></span> <span class="keywordtype">void</span> <a class="code" href="optimization__test_8c.html#ac11e842f01767e97924c100df684476d">optimization_get_exp_f</a>(<a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_vec[], <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> data_vec[],</div>
+<div class="line"><a name="l00216"></a><span class="lineno"> 216</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> f_vec[])</div>
+<div class="line"><a name="l00217"></a><span class="lineno"> 217</span> {</div>
+<div class="line"><a name="l00218"></a><span class="lineno"> 218</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x1, x2;</div>
+<div class="line"><a name="l00219"></a><span class="lineno"> 219</span>  uint8_t i;</div>
+<div class="line"><a name="l00220"></a><span class="lineno"> 220</span>  </div>
+<div class="line"><a name="l00221"></a><span class="lineno"> 221</span>  x1 = x_vec[0];</div>
+<div class="line"><a name="l00222"></a><span class="lineno"> 222</span>  x2 = x_vec[1];</div>
+<div class="line"><a name="l00223"></a><span class="lineno"> 223</span>  <span class="keywordflow">for</span> (i = 1; i < 9; i++) {</div>
+<div class="line"><a name="l00224"></a><span class="lineno"> 224</span>  f_vec[i - 1] = x1 * exp(i * x2) - data_vec[i - 1];</div>
+<div class="line"><a name="l00225"></a><span class="lineno"> 225</span>  }</div>
+<div class="line"><a name="l00226"></a><span class="lineno"> 226</span> }</div>
+<div class="line"><a name="l00227"></a><span class="lineno"> 227</span>  </div>
+<div class="line"><a name="l00251"></a><span class="lineno"><a class="line" href="optimization__test_8c.html#a98fdeac6ec9a38cb63f48e7c0f0085f0"> 251</a></span> <span class="keywordtype">void</span> <a class="code" href="optimization__test_8c.html#a98fdeac6ec9a38cb63f48e7c0f0085f0">optimization_get_exp_Jacobian</a>(<a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_vec[], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J[][2])</div>
+<div class="line"><a name="l00252"></a><span class="lineno"> 252</span> {</div>
+<div class="line"><a name="l00253"></a><span class="lineno"> 253</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x1, x2;</div>
+<div class="line"><a name="l00254"></a><span class="lineno"> 254</span>  uint8_t i;</div>
+<div class="line"><a name="l00255"></a><span class="lineno"> 255</span>  </div>
+<div class="line"><a name="l00256"></a><span class="lineno"> 256</span>  x1 = x_vec[0];</div>
+<div class="line"><a name="l00257"></a><span class="lineno"> 257</span>  x2 = x_vec[1];</div>
+<div class="line"><a name="l00258"></a><span class="lineno"> 258</span>  <span class="keywordflow">for</span> (i = 1; i < 9; i++) {</div>
+<div class="line"><a name="l00259"></a><span class="lineno"> 259</span>  J[i - 1][0] = exp(i * x2);</div>
+<div class="line"><a name="l00260"></a><span class="lineno"> 260</span>  J[i - 1][1] = i * x1 * exp(i * x2);</div>
+<div class="line"><a name="l00261"></a><span class="lineno"> 261</span>  }</div>
+<div class="line"><a name="l00262"></a><span class="lineno"> 262</span> }</div>
+<div class="line"><a name="l00263"></a><span class="lineno"> 263</span>  </div>
+<div class="line"><a name="l00264"></a><span class="lineno"><a class="line" href="optimization__test_8c.html#a5f1f1ed377535a6d4c5758c38174fcb9"> 264</a></span> <span class="keywordtype">void</span> <a class="code" href="optimization__test_8c.html#a5f1f1ed377535a6d4c5758c38174fcb9">optimization_exponential_data_test</a>(<span class="keywordtype">void</span>)</div>
+<div class="line"><a name="l00265"></a><span class="lineno"> 265</span> {</div>
+<div class="line"><a name="l00266"></a><span class="lineno"> 266</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> d_vec[] = { 8.3, 11.0, 14.7, 19.7, 26.7, 35.2, 44.4, 55.9 };</div>
+<div class="line"><a name="l00267"></a><span class="lineno"> 267</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> start_x_vec[] = { 6, .3 };</div>
+<div class="line"><a name="l00268"></a><span class="lineno"> 268</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> f_vec[8];</div>
+<div class="line"><a name="l00269"></a><span class="lineno"> 269</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J[8][2];</div>
+<div class="line"><a name="l00270"></a><span class="lineno"> 270</span>  </div>
+<div class="line"><a name="l00271"></a><span class="lineno"> 271</span>  <span class="comment">// Parameters of GNM & LVM</span></div>
+<div class="line"><a name="l00272"></a><span class="lineno"> 272</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> beta0 = 0.2;</div>
+<div class="line"><a name="l00273"></a><span class="lineno"> 273</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> beta1 = 0.8;</div>
+<div class="line"><a name="l00274"></a><span class="lineno"> 274</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> eps = 1e-3;</div>
+<div class="line"><a name="l00275"></a><span class="lineno"> 275</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> tau = 1e-6;</div>
+<div class="line"><a name="l00276"></a><span class="lineno"> 276</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> f_min = 1e-11;</div>
+<div class="line"><a name="l00277"></a><span class="lineno"> 277</span>  uint8_t max_it_num = 3;</div>
+<div class="line"><a name="l00278"></a><span class="lineno"> 278</span>  uint8_t iter_num = 0;</div>
+<div class="line"><a name="l00279"></a><span class="lineno"> 279</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> est_x_vec[2];</div>
+<div class="line"><a name="l00280"></a><span class="lineno"> 280</span>  </div>
+<div class="line"><a name="l00281"></a><span class="lineno"> 281</span>  <a class="code" href="optimization__test_8c.html#ac11e842f01767e97924c100df684476d">optimization_get_exp_f</a>(start_x_vec, d_vec, f_vec);</div>
+<div class="line"><a name="l00282"></a><span class="lineno"> 282</span>  <a class="code" href="optimization__test_8c.html#a98fdeac6ec9a38cb63f48e7c0f0085f0">optimization_get_exp_Jacobian</a>(start_x_vec, J);</div>
+<div class="line"><a name="l00283"></a><span class="lineno"> 283</span>  </div>
+<div class="line"><a name="l00284"></a><span class="lineno"> 284</span>  puts(</div>
+<div class="line"><a name="l00285"></a><span class="lineno"> 285</span>  <span class="stringliteral">"\n\n############### Test Gauss-Newton & LVM algorithms ###############"</span>);</div>
+<div class="line"><a name="l00286"></a><span class="lineno"> 286</span>  puts(<span class="stringliteral">"\nExponential Data:"</span>);</div>
+<div class="line"><a name="l00287"></a><span class="lineno"> 287</span>  iter_num = <a class="code" href="modified__gauss__newton_8h.html#a7376799043ad2c27fac02371624051bc">modified_gauss_newton</a>(8, 2, start_x_vec, d_vec, eps, f_min,</div>
+<div class="line"><a name="l00288"></a><span class="lineno"> 288</span>  max_it_num, est_x_vec,</div>
+<div class="line"><a name="l00289"></a><span class="lineno"> 289</span>  &<a class="code" href="optimization__test_8c.html#ac11e842f01767e97924c100df684476d">optimization_get_exp_f</a>,</div>
+<div class="line"><a name="l00290"></a><span class="lineno"> 290</span>  &<a class="code" href="optimization__test_8c.html#a98fdeac6ec9a38cb63f48e7c0f0085f0">optimization_get_exp_Jacobian</a>);</div>
+<div class="line"><a name="l00291"></a><span class="lineno"> 291</span>  printf(<span class="stringliteral">"start value = {%.6f, %.6f}\n"</span>, start_x_vec[0], start_x_vec[1]);</div>
+<div class="line"><a name="l00292"></a><span class="lineno"> 292</span>  printf(<span class="stringliteral">"Gauss-Newton solution = {%.6f, %.6f}\n"</span>, est_x_vec[0], est_x_vec[1]);</div>
+<div class="line"><a name="l00293"></a><span class="lineno"> 293</span>  printf(<span class="stringliteral">"iteration number = %d\n"</span>, iter_num);</div>
+<div class="line"><a name="l00294"></a><span class="lineno"> 294</span>  </div>
+<div class="line"><a name="l00295"></a><span class="lineno"> 295</span>  iter_num = 0;</div>
+<div class="line"><a name="l00296"></a><span class="lineno"> 296</span>  <a class="code" href="vector_8h.html#a758d38ad9623aa8c385bce765a3b7d17">vector_clear</a>(2, est_x_vec);</div>
+<div class="line"><a name="l00297"></a><span class="lineno"> 297</span>  </div>
+<div class="line"><a name="l00298"></a><span class="lineno"> 298</span>  iter_num = <a class="code" href="levenberg__marquardt_8h.html#a2a72b2b6be15a9998b61a9c0097e3d5f">opt_levenberg_marquardt</a>(8, 2, start_x_vec, d_vec, eps, tau,</div>
+<div class="line"><a name="l00299"></a><span class="lineno"> 299</span>  beta0, beta1, max_it_num,</div>
+<div class="line"><a name="l00300"></a><span class="lineno"> 300</span>  est_x_vec, &<a class="code" href="optimization__test_8c.html#ac11e842f01767e97924c100df684476d">optimization_get_exp_f</a>,</div>
+<div class="line"><a name="l00301"></a><span class="lineno"> 301</span>  &<a class="code" href="optimization__test_8c.html#a98fdeac6ec9a38cb63f48e7c0f0085f0">optimization_get_exp_Jacobian</a>);</div>
+<div class="line"><a name="l00302"></a><span class="lineno"> 302</span>  printf(<span class="stringliteral">"Levenberg-Marquardt solution = {%.6f, %.6f}\n"</span>, est_x_vec[0],</div>
+<div class="line"><a name="l00303"></a><span class="lineno"> 303</span>  est_x_vec[1]);</div>
+<div class="line"><a name="l00304"></a><span class="lineno"> 304</span>  printf(<span class="stringliteral">"iteration number = %d\n"</span>, iter_num);</div>
+<div class="line"><a name="l00305"></a><span class="lineno"> 305</span>  </div>
+<div class="line"><a name="l00306"></a><span class="lineno"> 306</span> }</div>
+<div class="line"><a name="l00307"></a><span class="lineno"> 307</span>  </div>
+<div class="line"><a name="l00325"></a><span class="lineno"><a class="line" href="optimization__test_8c.html#a1daefb42bf903899e7e1d5237ba62c0b"> 325</a></span> <span class="keywordtype">void</span> <a class="code" href="optimization__test_8c.html#a1daefb42bf903899e7e1d5237ba62c0b">optimization_get_sin_f</a>(<a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_vec[], <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> data_vec[],</div>
+<div class="line"><a name="l00326"></a><span class="lineno"> 326</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> f_vec[])</div>
+<div class="line"><a name="l00327"></a><span class="lineno"> 327</span> {</div>
+<div class="line"><a name="l00328"></a><span class="lineno"> 328</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x1, x2, x3, x4;</div>
+<div class="line"><a name="l00329"></a><span class="lineno"> 329</span>  uint8_t i;</div>
+<div class="line"><a name="l00330"></a><span class="lineno"> 330</span>  </div>
+<div class="line"><a name="l00331"></a><span class="lineno"> 331</span>  x1 = x_vec[0];</div>
+<div class="line"><a name="l00332"></a><span class="lineno"> 332</span>  x2 = x_vec[1];</div>
+<div class="line"><a name="l00333"></a><span class="lineno"> 333</span>  x3 = x_vec[2];</div>
+<div class="line"><a name="l00334"></a><span class="lineno"> 334</span>  x4 = x_vec[3];</div>
+<div class="line"><a name="l00335"></a><span class="lineno"> 335</span>  <span class="keywordflow">for</span> (i = 1; i < 13; i++) {</div>
+<div class="line"><a name="l00336"></a><span class="lineno"> 336</span>  f_vec[i - 1] = x1 * sin(x2 * i + x3) + x4 - data_vec[i - 1];</div>
+<div class="line"><a name="l00337"></a><span class="lineno"> 337</span>  }</div>
+<div class="line"><a name="l00338"></a><span class="lineno"> 338</span> }</div>
+<div class="line"><a name="l00339"></a><span class="lineno"> 339</span>  </div>
+<div class="line"><a name="l00360"></a><span class="lineno"><a class="line" href="optimization__test_8c.html#acb161b62c37921a9edd0cb7aeb76342a"> 360</a></span> <span class="keywordtype">void</span> <a class="code" href="optimization__test_8c.html#acb161b62c37921a9edd0cb7aeb76342a">optimization_get_sin_Jacobian</a>(<a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x_vec[], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J[][4])</div>
+<div class="line"><a name="l00361"></a><span class="lineno"> 361</span> {</div>
+<div class="line"><a name="l00362"></a><span class="lineno"> 362</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> x1, x2, x3;</div>
+<div class="line"><a name="l00363"></a><span class="lineno"> 363</span>  uint8_t i;</div>
+<div class="line"><a name="l00364"></a><span class="lineno"> 364</span>  </div>
+<div class="line"><a name="l00365"></a><span class="lineno"> 365</span>  x1 = x_vec[0];</div>
+<div class="line"><a name="l00366"></a><span class="lineno"> 366</span>  x2 = x_vec[1];</div>
+<div class="line"><a name="l00367"></a><span class="lineno"> 367</span>  x3 = x_vec[2];</div>
+<div class="line"><a name="l00368"></a><span class="lineno"> 368</span>  <span class="keywordflow">for</span> (i = 1; i < 13; i++) {</div>
+<div class="line"><a name="l00369"></a><span class="lineno"> 369</span>  J[i - 1][0] = sin(i * x2 + x3);</div>
+<div class="line"><a name="l00370"></a><span class="lineno"> 370</span>  J[i - 1][1] = i * x1 * cos(i * x2 + x3);</div>
+<div class="line"><a name="l00371"></a><span class="lineno"> 371</span>  J[i - 1][2] = x1 * cos(i * x2 + x3);</div>
+<div class="line"><a name="l00372"></a><span class="lineno"> 372</span>  J[i - 1][3] = 1;</div>
+<div class="line"><a name="l00373"></a><span class="lineno"> 373</span>  }</div>
+<div class="line"><a name="l00374"></a><span class="lineno"> 374</span> }</div>
+<div class="line"><a name="l00375"></a><span class="lineno"> 375</span>  </div>
+<div class="line"><a name="l00376"></a><span class="lineno"><a class="line" href="optimization__test_8c.html#a5f89a9747d6a7bec1ad0a80ba31647b9"> 376</a></span> <span class="keywordtype">void</span> <a class="code" href="optimization__test_8c.html#a5f89a9747d6a7bec1ad0a80ba31647b9">optimization_sinusoidal_data_test</a>(<span class="keywordtype">void</span>)</div>
+<div class="line"><a name="l00377"></a><span class="lineno"> 377</span> {</div>
+<div class="line"><a name="l00378"></a><span class="lineno"> 378</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> d_vec[] = { 61, 65, 72, 78, 85, 90, 92, 92, 88, 81, 72, 63 };</div>
+<div class="line"><a name="l00379"></a><span class="lineno"> 379</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> start_x_vec[] = { 17, 0.5, 10.5, 77 };</div>
+<div class="line"><a name="l00380"></a><span class="lineno"> 380</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> f_vec[12];</div>
+<div class="line"><a name="l00381"></a><span class="lineno"> 381</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> J[12][4];</div>
+<div class="line"><a name="l00382"></a><span class="lineno"> 382</span>  </div>
+<div class="line"><a name="l00383"></a><span class="lineno"> 383</span>  <span class="comment">// Parameters of GNM & LVM</span></div>
+<div class="line"><a name="l00384"></a><span class="lineno"> 384</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> beta0 = 0.2;</div>
+<div class="line"><a name="l00385"></a><span class="lineno"> 385</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> beta1 = 0.8;</div>
+<div class="line"><a name="l00386"></a><span class="lineno"> 386</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> eps = 1e-3;</div>
+<div class="line"><a name="l00387"></a><span class="lineno"> 387</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> tau = 1e-6;</div>
+<div class="line"><a name="l00388"></a><span class="lineno"> 388</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> f_min = 1e-11;</div>
+<div class="line"><a name="l00389"></a><span class="lineno"> 389</span>  uint8_t max_it_num = 2;</div>
+<div class="line"><a name="l00390"></a><span class="lineno"> 390</span>  uint8_t iter_num = 0;</div>
+<div class="line"><a name="l00391"></a><span class="lineno"> 391</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> est_x_vec[4];</div>
+<div class="line"><a name="l00392"></a><span class="lineno"> 392</span>  </div>
+<div class="line"><a name="l00393"></a><span class="lineno"> 393</span>  <a class="code" href="optimization__test_8c.html#a1daefb42bf903899e7e1d5237ba62c0b">optimization_get_sin_f</a>(start_x_vec, d_vec, f_vec);</div>
+<div class="line"><a name="l00394"></a><span class="lineno"> 394</span>  <a class="code" href="optimization__test_8c.html#acb161b62c37921a9edd0cb7aeb76342a">optimization_get_sin_Jacobian</a>(start_x_vec, J);</div>
+<div class="line"><a name="l00395"></a><span class="lineno"> 395</span>  </div>
+<div class="line"><a name="l00396"></a><span class="lineno"> 396</span> <span class="comment">// puts("############### Test Gauss-Newton & LVM algorithms ###############");</span></div>
+<div class="line"><a name="l00397"></a><span class="lineno"> 397</span>  puts(<span class="stringliteral">"\nSinusoidal Data:"</span>);</div>
+<div class="line"><a name="l00398"></a><span class="lineno"> 398</span>  iter_num = <a class="code" href="modified__gauss__newton_8h.html#a7376799043ad2c27fac02371624051bc">modified_gauss_newton</a>(12, 4, start_x_vec, d_vec, eps, f_min,</div>
+<div class="line"><a name="l00399"></a><span class="lineno"> 399</span>  max_it_num, est_x_vec,</div>
+<div class="line"><a name="l00400"></a><span class="lineno"> 400</span>  &<a class="code" href="optimization__test_8c.html#a1daefb42bf903899e7e1d5237ba62c0b">optimization_get_sin_f</a>,</div>
+<div class="line"><a name="l00401"></a><span class="lineno"> 401</span>  &<a class="code" href="optimization__test_8c.html#acb161b62c37921a9edd0cb7aeb76342a">optimization_get_sin_Jacobian</a>);</div>
+<div class="line"><a name="l00402"></a><span class="lineno"> 402</span>  printf(<span class="stringliteral">"start value = {%.6f, %.6f, %.6f, %.6f}\n"</span>, start_x_vec[0],</div>
+<div class="line"><a name="l00403"></a><span class="lineno"> 403</span>  start_x_vec[1],</div>
+<div class="line"><a name="l00404"></a><span class="lineno"> 404</span>  start_x_vec[2], start_x_vec[3]);</div>
+<div class="line"><a name="l00405"></a><span class="lineno"> 405</span>  printf(<span class="stringliteral">"Gauss-Newton solution = {%.6f, %.6f, %.6f, %.6f}\n"</span>, est_x_vec[0],</div>
+<div class="line"><a name="l00406"></a><span class="lineno"> 406</span>  est_x_vec[1],</div>
+<div class="line"><a name="l00407"></a><span class="lineno"> 407</span>  est_x_vec[2], est_x_vec[3]);</div>
+<div class="line"><a name="l00408"></a><span class="lineno"> 408</span>  printf(<span class="stringliteral">"iteration number = %d\n"</span>, iter_num);</div>
+<div class="line"><a name="l00409"></a><span class="lineno"> 409</span>  </div>
+<div class="line"><a name="l00410"></a><span class="lineno"> 410</span>  iter_num = 0;</div>
+<div class="line"><a name="l00411"></a><span class="lineno"> 411</span>  <a class="code" href="vector_8h.html#a758d38ad9623aa8c385bce765a3b7d17">vector_clear</a>(4, est_x_vec);</div>
+<div class="line"><a name="l00412"></a><span class="lineno"> 412</span>  </div>
+<div class="line"><a name="l00413"></a><span class="lineno"> 413</span>  iter_num = <a class="code" href="levenberg__marquardt_8h.html#a2a72b2b6be15a9998b61a9c0097e3d5f">opt_levenberg_marquardt</a>(12, 4, start_x_vec, d_vec, eps, tau,</div>
+<div class="line"><a name="l00414"></a><span class="lineno"> 414</span>  beta0, beta1, max_it_num,</div>
+<div class="line"><a name="l00415"></a><span class="lineno"> 415</span>  est_x_vec, &<a class="code" href="optimization__test_8c.html#a1daefb42bf903899e7e1d5237ba62c0b">optimization_get_sin_f</a>,</div>
+<div class="line"><a name="l00416"></a><span class="lineno"> 416</span>  &<a class="code" href="optimization__test_8c.html#acb161b62c37921a9edd0cb7aeb76342a">optimization_get_sin_Jacobian</a>);</div>
+<div class="line"><a name="l00417"></a><span class="lineno"> 417</span>  printf(<span class="stringliteral">"Levenberg-Marquardt solution = {%.6f, %.6f, %.6f, %.6f}\n"</span>, est_x_vec[0],</div>
+<div class="line"><a name="l00418"></a><span class="lineno"> 418</span>  est_x_vec[1],</div>
+<div class="line"><a name="l00419"></a><span class="lineno"> 419</span>  est_x_vec[2], est_x_vec[3]);</div>
+<div class="line"><a name="l00420"></a><span class="lineno"> 420</span>  printf(<span class="stringliteral">"iteration number = %d\n"</span>, iter_num);</div>
+<div class="line"><a name="l00421"></a><span class="lineno"> 421</span> }</div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="avector_8h_html_ab2827264910e858f238868695a92db4b"><div class="ttname"><a href="vector_8h.html#ab2827264910e858f238868695a92db4b">vector_flex_print</a></div><div class="ttdeci">void vector_flex_print(uint32_t length, vector_t arr[], uint8_t before_dot, uint8_t after_dot)</div><div class="ttdoc">Display the values of the vector's elements.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00284">vector.c:284</a></div></div>
+<div class="ttc" id="aoptimization__test_8c_html_a1062ae4598fabcf957ec0b855737db20"><div class="ttname"><a href="optimization__test_8c.html#a1062ae4598fabcf957ec0b855737db20">optimization_test</a></div><div class="ttdeci">void optimization_test(void)</div><div class="ttdoc">Examples of optimization algorithms using the LVM and GN algorithms.</div><div class="ttdef"><b>Definition:</b> <a href="optimization__test_8c_source.html#l00101">optimization_test.c:101</a></div></div>
+<div class="ttc" id="amodified__gauss__newton_8h_html_a7376799043ad2c27fac02371624051bc"><div class="ttname"><a href="modified__gauss__newton_8h.html#a7376799043ad2c27fac02371624051bc">modified_gauss_newton</a></div><div class="ttdeci">uint8_t modified_gauss_newton(uint8_t f_length, uint8_t n, vector_t x0_vec[n], vector_t data_vec[f_length], matrix_t eps, matrix_t fmin, uint8_t max_iter_num, vector_t est_x_vec[n], void(*get_f_error)(vector_t x0_vec[], vector_t data_vec[], vector_t f_vec[]), void(*get_jacobian)(vector_t x0_vec[], matrix_t J[][n]))</div><div class="ttdoc">Implements the modified Gauss–Newton algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="modified__gauss__newton_8c_source.html#l00032">modified_gauss_newton.c:32</a></div></div>
+<div class="ttc" id="avector_8h_html_acb41430bc5720dda7d1c45d91a0b0221"><div class="ttname"><a href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a></div><div class="ttdeci">#define vector_t</div><div class="ttdoc">Define the data type of the vector elements.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8h_source.html#l00033">vector.h:33</a></div></div>
+<div class="ttc" id="aoptimization__test_8c_html_ac11e842f01767e97924c100df684476d"><div class="ttname"><a href="optimization__test_8c.html#ac11e842f01767e97924c100df684476d">optimization_get_exp_f</a></div><div class="ttdeci">void optimization_get_exp_f(vector_t x_vec[], vector_t data_vec[], vector_t f_vec[])</div><div class="ttdoc">Calculate the error vector using exponential data.</div><div class="ttdef"><b>Definition:</b> <a href="optimization__test_8c_source.html#l00215">optimization_test.c:215</a></div></div>
+<div class="ttc" id="amatrix_8h_html"><div class="ttname"><a href="matrix_8h.html">matrix.h</a></div><div class="ttdoc">Matrix computations.</div></div>
+<div class="ttc" id="aoptimization__test_8c_html_acb161b62c37921a9edd0cb7aeb76342a"><div class="ttname"><a href="optimization__test_8c.html#acb161b62c37921a9edd0cb7aeb76342a">optimization_get_sin_Jacobian</a></div><div class="ttdeci">void optimization_get_sin_Jacobian(vector_t x_vec[], matrix_t J[][4])</div><div class="ttdoc">Calculate the Jacobian matrix using sinusoidal data.</div><div class="ttdef"><b>Definition:</b> <a href="optimization__test_8c_source.html#l00360">optimization_test.c:360</a></div></div>
+<div class="ttc" id="amatrix_8h_html_a82f374a9b8b215f0ef53d35401eae524"><div class="ttname"><a href="matrix_8h.html#a82f374a9b8b215f0ef53d35401eae524">matrix_flex_print</a></div><div class="ttdeci">void matrix_flex_print(uint8_t m, uint8_t n, matrix_t matrix[m][n], uint8_t before_dec, uint8_t after_dec)</div><div class="ttdoc">Display the values of the matrix elements.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00220">matrix.c:220</a></div></div>
+<div class="ttc" id="alevenberg__marquardt_8h_html"><div class="ttname"><a href="levenberg__marquardt_8h.html">levenberg_marquardt.h</a></div><div class="ttdoc">Implement the Levenberg–Marquardt (LVM) algorithm.</div></div>
+<div class="ttc" id="avector_8h_html_a758d38ad9623aa8c385bce765a3b7d17"><div class="ttname"><a href="vector_8h.html#a758d38ad9623aa8c385bce765a3b7d17">vector_clear</a></div><div class="ttdeci">void vector_clear(uint8_t size, vector_t arr[])</div><div class="ttdoc">Clear all the elements of the vector.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00032">vector.c:32</a></div></div>
+<div class="ttc" id="aoptimization__test_8c_html_a1daefb42bf903899e7e1d5237ba62c0b"><div class="ttname"><a href="optimization__test_8c.html#a1daefb42bf903899e7e1d5237ba62c0b">optimization_get_sin_f</a></div><div class="ttdeci">void optimization_get_sin_f(vector_t x_vec[], vector_t data_vec[], vector_t f_vec[])</div><div class="ttdoc">Calculate the error vector using sinusoidal data.</div><div class="ttdef"><b>Definition:</b> <a href="optimization__test_8c_source.html#l00325">optimization_test.c:325</a></div></div>
+<div class="ttc" id="aoptimization__test_8c_html_a98fdeac6ec9a38cb63f48e7c0f0085f0"><div class="ttname"><a href="optimization__test_8c.html#a98fdeac6ec9a38cb63f48e7c0f0085f0">optimization_get_exp_Jacobian</a></div><div class="ttdeci">void optimization_get_exp_Jacobian(vector_t x_vec[], matrix_t J[][2])</div><div class="ttdoc">Calculate the Jacobian matrix using exponential data.</div><div class="ttdef"><b>Definition:</b> <a href="optimization__test_8c_source.html#l00251">optimization_test.c:251</a></div></div>
+<div class="ttc" id="aoptimization__test_8c_html_a610651298b8018db96cf21ee31740d3b"><div class="ttname"><a href="optimization__test_8c.html#a610651298b8018db96cf21ee31740d3b">optimization_get_f_error</a></div><div class="ttdeci">void optimization_get_f_error(vector_t x0_vec[], vector_t measured_data_vec[], vector_t f_vec[])</div><div class="ttdoc">Calculate the error vector of the approximation.</div><div class="ttdef"><b>Definition:</b> <a href="optimization__test_8c_source.html#l00070">optimization_test.c:70</a></div></div>
+<div class="ttc" id="aoptimization__test_8c_html_ac7361316d224b72baa4a681297d9f51c"><div class="ttname"><a href="optimization__test_8c.html#ac7361316d224b72baa4a681297d9f51c">optimization_get_J</a></div><div class="ttdeci">void optimization_get_J(vector_t x0_vec[], matrix_t J[][3])</div><div class="ttdoc">Calculate the Jacobian matrix of the function optimization_get_f_error.</div><div class="ttdef"><b>Definition:</b> <a href="optimization__test_8c_source.html#l00039">optimization_test.c:39</a></div></div>
+<div class="ttc" id="alevenberg__marquardt_8h_html_a2a72b2b6be15a9998b61a9c0097e3d5f"><div class="ttname"><a href="levenberg__marquardt_8h.html#a2a72b2b6be15a9998b61a9c0097e3d5f">opt_levenberg_marquardt</a></div><div class="ttdeci">uint8_t opt_levenberg_marquardt(uint8_t f_length, uint8_t n, vector_t x0_vec[n], vector_t data_vec[f_length], matrix_t eps, matrix_t tau, matrix_t beta0, matrix_t beta1, uint8_t max_iter_num, vector_t est_x_vec[n], void(*get_f_error)(vector_t x0_vec[], vector_t data_vec[], vector_t f_vec[]), void(*get_jacobian)(vector_t x0_vec[], matrix_t J[][n]))</div><div class="ttdoc">Implements the Levenberg–Marquardt (LVM) algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="levenberg__marquardt_8c_source.html#l00143">levenberg_marquardt.c:143</a></div></div>
+<div class="ttc" id="amatrix_8h_html_af38ac6b76d645fea9abd6caeb4d9dd31"><div class="ttname"><a href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a></div><div class="ttdeci">#define matrix_t</div><div class="ttdoc">Define the data type of the matrix elements.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8h_source.html#l00038">matrix.h:38</a></div></div>
+<div class="ttc" id="amodified__gauss__newton_8h_html"><div class="ttname"><a href="modified__gauss__newton_8h.html">modified_gauss_newton.h</a></div><div class="ttdoc">Implement the Gauss–Newton algorithm.</div></div>
+<div class="ttc" id="avector_8h_html"><div class="ttname"><a href="vector_8h.html">vector.h</a></div><div class="ttdoc">Vector computations.</div></div>
+<div class="ttc" id="aoptimization__test_8c_html_a5f1f1ed377535a6d4c5758c38174fcb9"><div class="ttname"><a href="optimization__test_8c.html#a5f1f1ed377535a6d4c5758c38174fcb9">optimization_exponential_data_test</a></div><div class="ttdeci">void optimization_exponential_data_test(void)</div><div class="ttdoc">Examples of optimization algorithms using exponential data.</div><div class="ttdef"><b>Definition:</b> <a href="optimization__test_8c_source.html#l00264">optimization_test.c:264</a></div></div>
+<div class="ttc" id="aoptimization__test_8c_html_a5f89a9747d6a7bec1ad0a80ba31647b9"><div class="ttname"><a href="optimization__test_8c.html#a5f89a9747d6a7bec1ad0a80ba31647b9">optimization_sinusoidal_data_test</a></div><div class="ttdeci">void optimization_sinusoidal_data_test(void)</div><div class="ttdoc">Examples of optimization algorithms using sinusoidal data.</div><div class="ttdef"><b>Definition:</b> <a href="optimization__test_8c_source.html#l00376">optimization_test.c:376</a></div></div>
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+<a href="#func-members">Functions</a> </div>
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+<div class="title">optimization_test.h File Reference<div class="ingroups"><a class="el" href="group__examples.html">EXAMPLES</a></div></div> </div>
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+<div class="contents">
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+<p>Examples of optimization algorithms.
+<a href="#details">More...</a></p>
+
+<p><a href="optimization__test_8h_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a1062ae4598fabcf957ec0b855737db20"><td class="memItemLeft" align="right" valign="top"><a id="a1062ae4598fabcf957ec0b855737db20"></a>
+void </td><td class="memItemRight" valign="bottom"><a class="el" href="optimization__test_8h.html#a1062ae4598fabcf957ec0b855737db20">optimization_test</a> (void)</td></tr>
+<tr class="memdesc:a1062ae4598fabcf957ec0b855737db20"><td class="mdescLeft"> </td><td class="mdescRight">Examples of optimization algorithms using the LVM and GN algorithms. <br /></td></tr>
+<tr class="separator:a1062ae4598fabcf957ec0b855737db20"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a5f1f1ed377535a6d4c5758c38174fcb9"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="optimization__test_8h.html#a5f1f1ed377535a6d4c5758c38174fcb9">optimization_exponential_data_test</a> (void)</td></tr>
+<tr class="memdesc:a5f1f1ed377535a6d4c5758c38174fcb9"><td class="mdescLeft"> </td><td class="mdescRight">Examples of optimization algorithms using exponential data. <a href="optimization__test_8h.html#a5f1f1ed377535a6d4c5758c38174fcb9">More...</a><br /></td></tr>
+<tr class="separator:a5f1f1ed377535a6d4c5758c38174fcb9"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a5f89a9747d6a7bec1ad0a80ba31647b9"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="optimization__test_8h.html#a5f89a9747d6a7bec1ad0a80ba31647b9">optimization_sinusoidal_data_test</a> (void)</td></tr>
+<tr class="memdesc:a5f89a9747d6a7bec1ad0a80ba31647b9"><td class="mdescLeft"> </td><td class="mdescRight">Examples of optimization algorithms using sinusoidal data. <a href="optimization__test_8h.html#a5f89a9747d6a7bec1ad0a80ba31647b9">More...</a><br /></td></tr>
+<tr class="separator:a5f89a9747d6a7bec1ad0a80ba31647b9"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Examples of optimization algorithms. </p>
+<p>Optimization algorithms examples (see the <a class="el" href="modified__gauss__newton_8h.html">modified GN</a> and <a class="el" href="levenberg__marquardt_8h.html">LVM</a> optimization methods).</p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="optimization__test_8h_source.html">optimization_test.h</a>.</p>
+</div><h2 class="groupheader">Function Documentation</h2>
+<a id="a5f1f1ed377535a6d4c5758c38174fcb9"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a5f1f1ed377535a6d4c5758c38174fcb9">◆ </a></span>optimization_exponential_data_test()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void optimization_exponential_data_test </td>
+ <td>(</td>
+ <td class="paramtype">void </td>
+ <td class="paramname"></td><td>)</td>
+ <td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Examples of optimization algorithms using exponential data. </p>
+<p>The model function is: <img class="formulaInl" alt="$ g(\vec{x}, t) = x_1 \mathrm{e}^{x_2t}, $" src="form_4.png"/> where <img class="formulaInl" alt="$\vec{x} = [x_1, x_2]^T$" src="form_5.png"/> and <img class="formulaInl" alt="$ \vec{x_0} = [6,.3]$" src="form_6.png"/> is the initial guess. The data set is <img class="formulaInl" alt="$ d(t_i, y_i)$" src="form_7.png"/>, whereby <img class="formulaInl" alt="$ t_i $" src="form_8.png"/> is equal to <img class="formulaInl" alt="$ \lbrace 1, \hdots, 8 \rbrace$" src="form_9.png"/> and <img class="formulaInl" alt="$ y_i$" src="form_10.png"/> is equal to <img class="formulaInl" alt="$\lbrace 8.3, 11.0, 14.7, 19.7, 26.7, 35.2, 44.4, 55.9 \rbrace $" src="form_11.png"/>. </p>
+
+<p class="definition">Definition at line <a class="el" href="optimization__test_8c_source.html#l00264">264</a> of file <a class="el" href="optimization__test_8c_source.html">optimization_test.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>, <a class="el" href="modified__gauss__newton_8c_source.html#l00032">modified_gauss_newton()</a>, <a class="el" href="levenberg__marquardt_8c_source.html#l00143">opt_levenberg_marquardt()</a>, <a class="el" href="optimization__test_8c_source.html#l00215">optimization_get_exp_f()</a>, <a class="el" href="optimization__test_8c_source.html#l00251">optimization_get_exp_Jacobian()</a>, <a class="el" href="vector_8c_source.html#l00032">vector_clear()</a>, and <a class="el" href="vector_8h_source.html#l00033">vector_t</a>.</p>
+
+</div>
+</div>
+<a id="a5f89a9747d6a7bec1ad0a80ba31647b9"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a5f89a9747d6a7bec1ad0a80ba31647b9">◆ </a></span>optimization_sinusoidal_data_test()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void optimization_sinusoidal_data_test </td>
+ <td>(</td>
+ <td class="paramtype">void </td>
+ <td class="paramname"></td><td>)</td>
+ <td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Examples of optimization algorithms using sinusoidal data. </p>
+<p>The model function is: <img class="formulaInl" alt="$ g(\vec{x}, t) = x_1 \sin\left( x_2t +x_3\right) + x_4, $" src="form_12.png"/> whereby <img class="formulaInl" alt="$\vec{x} = [x_1, x_2, x_3, x_4]^T$" src="form_13.png"/> and <img class="formulaInl" alt="$\vec{x_0} = [17, 0.5, 10.5, 77]$" src="form_14.png"/> is the initial guess. The set of data points is <img class="formulaInl" alt="$ d(t_i, y_i) $" src="form_15.png"/>, where <img class="formulaInl" alt="$t_i $" src="form_16.png"/> is equal to <img class="formulaInl" alt="$\lbrace 1, \hdots, 12 \rbrace$" src="form_17.png"/> and <img class="formulaInl" alt="$y_i$" src="form_18.png"/> is equal to <img class="formulaInl" alt="$\lbrace 61, 65, 72, 78, 85, 90, 92, 92, 88, 81, 72, 63 \rbrace$" src="form_19.png"/>. </p>
+
+<p class="definition">Definition at line <a class="el" href="optimization__test_8c_source.html#l00376">376</a> of file <a class="el" href="optimization__test_8c_source.html">optimization_test.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>, <a class="el" href="modified__gauss__newton_8c_source.html#l00032">modified_gauss_newton()</a>, <a class="el" href="levenberg__marquardt_8c_source.html#l00143">opt_levenberg_marquardt()</a>, <a class="el" href="optimization__test_8c_source.html#l00325">optimization_get_sin_f()</a>, <a class="el" href="optimization__test_8c_source.html#l00360">optimization_get_sin_Jacobian()</a>, <a class="el" href="vector_8c_source.html#l00032">vector_clear()</a>, and <a class="el" href="vector_8h_source.html#l00033">vector_t</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="navelem"><a class="el" href="dir_d28a4824dc47e487b107a5db32ef43c4.html">examples</a></li><li class="navelem"><a class="el" href="dir_e8f51c8b3be94f3d6e82400eb763d9de.html">non_linear_algebra</a></li><li class="navelem"><a class="el" href="dir_639c02752b2f8f0dbd6bec97ff3b969d.html">optimization</a></li><li class="navelem"><a class="el" href="dir_623d500f3964709be0a6b3ba8db96a1c.html">include</a></li><li class="navelem"><a class="el" href="optimization__test_8h.html">optimization_test.h</a></li>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
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+ [ "optimization_sinusoidal_data_test", "optimization__test_8h.html#a5f89a9747d6a7bec1ad0a80ba31647b9", null ],
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+ <div id="projectname">RcdMathLib_doc
+ </div>
+ <div id="projectbrief">Open Source Library for Linear and Non-linear Algebra</div>
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+ onmouseover="return searchBox.OnSearchSelectShow()"
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+<div class="title">optimization_test.h</div> </div>
+</div><!--header-->
+<div class="contents">
+<a href="optimization__test_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#ifndef EXAMPLES_OPTIMIZATION_TEST_H_</span></div>
+<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="preprocessor">#define EXAMPLES_OPTIMIZATION_TEST_H_</span></div>
+<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>  </div>
+<div class="line"><a name="l00032"></a><span class="lineno"> 32</span> <span class="keywordtype">void</span> <a class="code" href="optimization__test_8h.html#a1062ae4598fabcf957ec0b855737db20">optimization_test</a>(<span class="keywordtype">void</span>);</div>
+<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>  </div>
+<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  </div>
+<div class="line"><a name="l00046"></a><span class="lineno"> 46</span> <span class="keywordtype">void</span> <a class="code" href="optimization__test_8h.html#a5f1f1ed377535a6d4c5758c38174fcb9">optimization_exponential_data_test</a>(<span class="keywordtype">void</span>);</div>
+<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  </div>
+<div class="line"><a name="l00059"></a><span class="lineno"> 59</span> <span class="keywordtype">void</span> <a class="code" href="optimization__test_8h.html#a5f89a9747d6a7bec1ad0a80ba31647b9">optimization_sinusoidal_data_test</a>(<span class="keywordtype">void</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> <span class="preprocessor">#endif </span><span class="comment">/* EXAMPLES_OPTIMIZATION_TEST_H_ */</span><span class="preprocessor"></span></div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="aoptimization__test_8h_html_a5f89a9747d6a7bec1ad0a80ba31647b9"><div class="ttname"><a href="optimization__test_8h.html#a5f89a9747d6a7bec1ad0a80ba31647b9">optimization_sinusoidal_data_test</a></div><div class="ttdeci">void optimization_sinusoidal_data_test(void)</div><div class="ttdoc">Examples of optimization algorithms using sinusoidal data.</div><div class="ttdef"><b>Definition:</b> <a href="optimization__test_8c_source.html#l00376">optimization_test.c:376</a></div></div>
+<div class="ttc" id="aoptimization__test_8h_html_a1062ae4598fabcf957ec0b855737db20"><div class="ttname"><a href="optimization__test_8h.html#a1062ae4598fabcf957ec0b855737db20">optimization_test</a></div><div class="ttdeci">void optimization_test(void)</div><div class="ttdoc">Examples of optimization algorithms using the LVM and GN algorithms.</div><div class="ttdef"><b>Definition:</b> <a href="optimization__test_8c_source.html#l00101">optimization_test.c:101</a></div></div>
+<div class="ttc" id="aoptimization__test_8h_html_a5f1f1ed377535a6d4c5758c38174fcb9"><div class="ttname"><a href="optimization__test_8h.html#a5f1f1ed377535a6d4c5758c38174fcb9">optimization_exponential_data_test</a></div><div class="ttdeci">void optimization_exponential_data_test(void)</div><div class="ttdoc">Examples of optimization algorithms using exponential data.</div><div class="ttdef"><b>Definition:</b> <a href="optimization__test_8c_source.html#l00264">optimization_test.c:264</a></div></div>
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+ <div class="summary">
+<a href="#func-members">Functions</a> </div>
+ <div class="headertitle">
+<div class="title">pos_algos_common_test.c File Reference</div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Examples of common algorithms of localization systems.
+<a href="#details">More...</a></p>
+<div class="textblock"><code>#include <stdio.h></code><br />
+<code>#include "<a class="el" href="DOP_8h_source.html">DOP.h</a>"</code><br />
+<code>#include "<a class="el" href="matrix_8h_source.html">matrix.h</a>"</code><br />
+<code>#include "<a class="el" href="trilateration_8h_source.html">trilateration.h</a>"</code><br />
+</div>
+<p><a href="pos__algos__common__test_8c_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ad7c3809ba4d66f929854a4127784be8c"><td class="memItemLeft" align="right" valign="top"><a id="ad7c3809ba4d66f929854a4127784be8c"></a>
+void </td><td class="memItemRight" valign="bottom"><a class="el" href="pos__algos__common__test_8c.html#ad7c3809ba4d66f929854a4127784be8c">pos_algos_common_test</a> (void)</td></tr>
+<tr class="memdesc:ad7c3809ba4d66f929854a4127784be8c"><td class="mdescLeft"> </td><td class="mdescRight">Example of common localization algorithms. <br /></td></tr>
+<tr class="separator:ad7c3809ba4d66f929854a4127784be8c"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Examples of common algorithms of localization systems. </p>
+<p>Common algorithms examples of positioning systems (see the <a class="el" href="group__pos__algos__common.html">positioning algorithms common</a> module).</p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="pos__algos__common__test_8c_source.html">pos_algos_common_test.c</a>.</p>
+</div></div><!-- contents -->
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+ <ul>
+ <li class="navelem"><a class="el" href="dir_d28a4824dc47e487b107a5db32ef43c4.html">examples</a></li><li class="navelem"><a class="el" href="dir_801c9944761e72e374dff631ac46ee01.html">localization</a></li><li class="navelem"><a class="el" href="dir_fd0747fb67b11559bfa7954b6401be5e.html">position_algos</a></li><li class="navelem"><a class="el" href="dir_eb8d9579dd996e15d1d43dfa981f1bc9.html">pos_algos_common</a></li><li class="navelem"><a class="el" href="pos__algos__common__test_8c.html">pos_algos_common_test.c</a></li>
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+];
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+ onmouseover="return searchBox.OnSearchSelectShow()"
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+<iframe src="javascript:void(0)" frameborder="0"
+ name="MSearchResults" id="MSearchResults">
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+<div class="header">
+ <div class="headertitle">
+<div class="title">pos_algos_common_test.c</div> </div>
+</div><!--header-->
+<div class="contents">
+<a href="pos__algos__common__test_8c.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="preprocessor">#include <stdio.h></span></div>
+<div class="line"><a name="l00025"></a><span class="lineno"> 25</span>  </div>
+<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="preprocessor">#include "<a class="code" href="DOP_8h.html">DOP.h</a>"</span></div>
+<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="preprocessor">#include "<a class="code" href="matrix_8h.html">matrix.h</a>"</span></div>
+<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="preprocessor">#include "<a class="code" href="trilateration_8h.html">trilateration.h</a>"</span></div>
+<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>  </div>
+<div class="line"><a name="l00030"></a><span class="lineno"><a class="line" href="pos__algos__common__test_8c.html#ad7c3809ba4d66f929854a4127784be8c"> 30</a></span> <span class="keywordtype">void</span> <a class="code" href="pos__algos__common__test_8c.html#ad7c3809ba4d66f929854a4127784be8c">pos_algos_common_test</a>(<span class="keywordtype">void</span>)</div>
+<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> {</div>
+<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_pos_matrix[4][3] = { { 0, 0, 1.67 }, <span class="comment">// P1</span></div>
+<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>  { 4.5, 0, 0.75 }, <span class="comment">// P2</span></div>
+<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  { 4.5, 4.45, 0.75 }, <span class="comment">// P3</span></div>
+<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  { 0, 4.92, 0.86 } <span class="comment">// P4</span></div>
+<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  };</div>
+<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  </div>
+<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  uint8_t m = 4;</div>
+<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>  <span class="keywordtype">double</span> A_matrix[m][4];</div>
+<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>  <span class="keywordtype">double</span> true_pos[] = { 1, 1, 0 };</div>
+<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  </div>
+<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  <span class="keywordtype">double</span> pdop_val = <a class="code" href="DOP_8c.html#a8b878ff6d73e8da6fbc3ae40f01b1ce4">get_PDOP</a>(m, ref_pos_matrix, true_pos);</div>
+<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  </div>
+<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  printf(<span class="stringliteral">"pdop_val = %.7f\n"</span>, pdop_val);</div>
+<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  </div>
+<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  <a class="code" href="trilateration_8h.html#a3c9dfccb08c7e4cdb5533cd6bc8b5832">trilateration_get_A_matrix</a>(m, ref_pos_matrix, A_matrix);</div>
+<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  printf(<span class="stringliteral">"A_matrix = "</span>);</div>
+<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  <a class="code" href="matrix_8h.html#a82f374a9b8b215f0ef53d35401eae524">matrix_flex_print</a>(m, 4, A_matrix, 3, 7);</div>
+<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00050"></a><span class="lineno"> 50</span> }</div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="atrilateration_8h_html"><div class="ttname"><a href="trilateration_8h.html">trilateration.h</a></div><div class="ttdoc">Implement the trilateration algorithm.</div></div>
+<div class="ttc" id="atrilateration_8h_html_a3c9dfccb08c7e4cdb5533cd6bc8b5832"><div class="ttname"><a href="trilateration_8h.html#a3c9dfccb08c7e4cdb5533cd6bc8b5832">trilateration_get_A_matrix</a></div><div class="ttdeci">void trilateration_get_A_matrix(uint8_t m, matrix_t anchor_pos_matrix[m][3], matrix_t A_matrix[m][4])</div><div class="ttdoc">Computes the matrix of the equation system: .</div><div class="ttdef"><b>Definition:</b> <a href="trilateration_8c_source.html#l00256">trilateration.c:256</a></div></div>
+<div class="ttc" id="aDOP_8c_html_a8b878ff6d73e8da6fbc3ae40f01b1ce4"><div class="ttname"><a href="DOP_8c.html#a8b878ff6d73e8da6fbc3ae40f01b1ce4">get_PDOP</a></div><div class="ttdeci">matrix_t get_PDOP(uint8_t m, matrix_t ref_Matrix[m][3], matrix_t true_pos[m])</div><div class="ttdoc">Compute the Position Dilution of Precision (PDOP).</div><div class="ttdef"><b>Definition:</b> <a href="DOP_8c_source.html#l00030">DOP.c:30</a></div></div>
+<div class="ttc" id="amatrix_8h_html"><div class="ttname"><a href="matrix_8h.html">matrix.h</a></div><div class="ttdoc">Matrix computations.</div></div>
+<div class="ttc" id="amatrix_8h_html_a82f374a9b8b215f0ef53d35401eae524"><div class="ttname"><a href="matrix_8h.html#a82f374a9b8b215f0ef53d35401eae524">matrix_flex_print</a></div><div class="ttdeci">void matrix_flex_print(uint8_t m, uint8_t n, matrix_t matrix[m][n], uint8_t before_dec, uint8_t after_dec)</div><div class="ttdoc">Display the values of the matrix elements.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00220">matrix.c:220</a></div></div>
+<div class="ttc" id="apos__algos__common__test_8c_html_ad7c3809ba4d66f929854a4127784be8c"><div class="ttname"><a href="pos__algos__common__test_8c.html#ad7c3809ba4d66f929854a4127784be8c">pos_algos_common_test</a></div><div class="ttdeci">void pos_algos_common_test(void)</div><div class="ttdoc">Example of common localization algorithms.</div><div class="ttdef"><b>Definition:</b> <a href="pos__algos__common__test_8c_source.html#l00030">pos_algos_common_test.c:30</a></div></div>
+<div class="ttc" id="amatrix_8h_html_af38ac6b76d645fea9abd6caeb4d9dd31"><div class="ttname"><a href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a></div><div class="ttdeci">#define matrix_t</div><div class="ttdoc">Define the data type of the matrix elements.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8h_source.html#l00038">matrix.h:38</a></div></div>
+<div class="ttc" id="aDOP_8h_html"><div class="ttname"><a href="DOP_8h.html">DOP.h</a></div><div class="ttdoc">Compute the Position Dilution of Precision (PDOP).</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_d28a4824dc47e487b107a5db32ef43c4.html">examples</a></li><li class="navelem"><a class="el" href="dir_801c9944761e72e374dff631ac46ee01.html">localization</a></li><li class="navelem"><a class="el" href="dir_fd0747fb67b11559bfa7954b6401be5e.html">position_algos</a></li><li class="navelem"><a class="el" href="dir_eb8d9579dd996e15d1d43dfa981f1bc9.html">pos_algos_common</a></li><li class="navelem"><a class="el" href="pos__algos__common__test_8c.html">pos_algos_common_test.c</a></li>
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+ onmouseover="return searchBox.OnSearchSelectShow()"
+ onmouseout="return searchBox.OnSearchSelectHide()"
+ onkeydown="return searchBox.OnSearchSelectKey(event)">
+</div>
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+<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">pos_algos_common_test.h File Reference<div class="ingroups"><a class="el" href="group__examples.html">EXAMPLES</a></div></div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Examples of common algorithms of localization systems.
+<a href="#details">More...</a></p>
+
+<p><a href="pos__algos__common__test_8h_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ad7c3809ba4d66f929854a4127784be8c"><td class="memItemLeft" align="right" valign="top"><a id="ad7c3809ba4d66f929854a4127784be8c"></a>
+void </td><td class="memItemRight" valign="bottom"><a class="el" href="pos__algos__common__test_8h.html#ad7c3809ba4d66f929854a4127784be8c">pos_algos_common_test</a> (void)</td></tr>
+<tr class="memdesc:ad7c3809ba4d66f929854a4127784be8c"><td class="mdescLeft"> </td><td class="mdescRight">Example of common localization algorithms. <br /></td></tr>
+<tr class="separator:ad7c3809ba4d66f929854a4127784be8c"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Examples of common algorithms of localization systems. </p>
+<p>Common algorithms examples of positioning systems (see the <a class="el" href="group__pos__algos__common.html">positioning algorithms common</a> module).</p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="pos__algos__common__test_8h_source.html">pos_algos_common_test.h</a>.</p>
+</div></div><!-- contents -->
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+ <ul>
+ <li class="navelem"><a class="el" href="dir_d28a4824dc47e487b107a5db32ef43c4.html">examples</a></li><li class="navelem"><a class="el" href="dir_801c9944761e72e374dff631ac46ee01.html">localization</a></li><li class="navelem"><a class="el" href="dir_fd0747fb67b11559bfa7954b6401be5e.html">position_algos</a></li><li class="navelem"><a class="el" href="dir_eb8d9579dd996e15d1d43dfa981f1bc9.html">pos_algos_common</a></li><li class="navelem"><a class="el" href="dir_d17d23561bfec00359efc467b3662047.html">include</a></li><li class="navelem"><a class="el" href="pos__algos__common__test_8h.html">pos_algos_common_test.h</a></li>
+ <li class="footer">Generated by
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diff --git a/doc/doxygen/html/pos__algos__common__test_8h.js b/doc/doxygen/html/pos__algos__common__test_8h.js
new file mode 100644
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+ <div id="projectname">RcdMathLib_doc
+ </div>
+ <div id="projectbrief">Open Source Library for Linear and Non-linear Algebra</div>
+ </td>
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+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.16 -->
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+/* @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="headertitle">
+<div class="title">pos_algos_common_test.h</div> </div>
+</div><!--header-->
+<div class="contents">
+<a href="pos__algos__common__test_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#ifndef POS_ALGOS_COMMON_TEST_H_</span></div>
+<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="preprocessor">#define POS_ALGOS_COMMON_TEST_H_</span></div>
+<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>  </div>
+<div class="line"><a name="l00032"></a><span class="lineno"> 32</span> <span class="keywordtype">void</span> <a class="code" href="pos__algos__common__test_8h.html#ad7c3809ba4d66f929854a4127784be8c">pos_algos_common_test</a>(<span class="keywordtype">void</span>);</div>
+<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>  </div>
+<div class="line"><a name="l00034"></a><span class="lineno"> 34</span> <span class="preprocessor">#endif </span><span class="comment">/* POS_ALGOS_COMMON_TEST_H_ */</span><span class="preprocessor"></span></div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="apos__algos__common__test_8h_html_ad7c3809ba4d66f929854a4127784be8c"><div class="ttname"><a href="pos__algos__common__test_8h.html#ad7c3809ba4d66f929854a4127784be8c">pos_algos_common_test</a></div><div class="ttdeci">void pos_algos_common_test(void)</div><div class="ttdoc">Example of common localization algorithms.</div><div class="ttdef"><b>Definition:</b> <a href="pos__algos__common__test_8c_source.html#l00030">pos_algos_common_test.c:30</a></div></div>
+<!-- start footer part -->
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diff --git a/doc/doxygen/html/position__optimization__test_8c.html b/doc/doxygen/html/position__optimization__test_8c.html
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+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "https://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
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+ <div id="projectname">RcdMathLib_doc
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+<a href="#func-members">Functions</a> </div>
+ <div class="headertitle">
+<div class="title">position_optimization_test.c File Reference</div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Examples of optimization algorithms for localization systems.
+<a href="#details">More...</a></p>
+<div class="textblock"><code>#include <stdio.h></code><br />
+<code>#include <stdint.h></code><br />
+<code>#include "<a class="el" href="loc__levenberg__marquardt_8h_source.html">loc_levenberg_marquardt.h</a>"</code><br />
+<code>#include "<a class="el" href="loc__gauss__newton_8h_source.html">loc_gauss_newton.h</a>"</code><br />
+<code>#include "<a class="el" href="dist__based__fi_8h_source.html">dist_based_fi.h</a>"</code><br />
+<code>#include "<a class="el" href="dist__based__position_8h_source.html">dist_based_position.h</a>"</code><br />
+<code>#include "<a class="el" href="dist__based__jacobian_8h_source.html">dist_based_jacobian.h</a>"</code><br />
+<code>#include "<a class="el" href="vector_8h_source.html">vector.h</a>"</code><br />
+</div>
+<p><a href="position__optimization__test_8c_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:adf2ebfc668717eeac312234ac2b24166"><td class="memItemLeft" align="right" valign="top"><a id="adf2ebfc668717eeac312234ac2b24166"></a>
+void </td><td class="memItemRight" valign="bottom"><a class="el" href="position__optimization__test_8c.html#adf2ebfc668717eeac312234ac2b24166">position_optimization_test</a> (void)</td></tr>
+<tr class="memdesc:adf2ebfc668717eeac312234ac2b24166"><td class="mdescLeft"> </td><td class="mdescRight">Examples of optimization algorithms of a localization system. <br /></td></tr>
+<tr class="separator:adf2ebfc668717eeac312234ac2b24166"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Examples of optimization algorithms for localization systems. </p>
+<p>Optimization algorithms examples for localization systems. (see the <a class="el" href="loc__gauss__newton_8h.html">modified GN</a> and <a class="el" href="loc__levenberg__marquardt_8h.html">LVM</a> optimization methods).</p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd>
+<dd>
+Naouar Guerchali </dd>
+<dd>
+Abdelmoumen Norrdine <a href="#" onclick="location.href='mai'+'lto:'+'a.n'+'or'+'rdi'+'ne'+'@go'+'og'+'lem'+'ai'+'l.c'+'om'; return false;">a.nor<span style="display: none;">.nosp@m.</span>rdin<span style="display: none;">.nosp@m.</span>e@goo<span style="display: none;">.nosp@m.</span>glem<span style="display: none;">.nosp@m.</span>ail.c<span style="display: none;">.nosp@m.</span>om</a> </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="position__optimization__test_8c_source.html">position_optimization_test.c</a>.</p>
+</div></div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
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+ <li class="navelem"><a class="el" href="dir_d28a4824dc47e487b107a5db32ef43c4.html">examples</a></li><li class="navelem"><a class="el" href="dir_801c9944761e72e374dff631ac46ee01.html">localization</a></li><li class="navelem"><a class="el" href="dir_37a5553f1548d2dee3f75063e28a3b6f.html">position_optimization</a></li><li class="navelem"><a class="el" href="position__optimization__test_8c.html">position_optimization_test.c</a></li>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
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+ onmouseover="return searchBox.OnSearchSelectShow()"
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+<div class="title">position_optimization_test.c</div> </div>
+</div><!--header-->
+<div class="contents">
+<a href="position__optimization__test_8c.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="preprocessor">#include <stdio.h></span></div>
+<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="preprocessor">#include <stdint.h></span></div>
+<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>  </div>
+<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="preprocessor">#include "<a class="code" href="loc__levenberg__marquardt_8h.html">loc_levenberg_marquardt.h</a>"</span></div>
+<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="preprocessor">#include "<a class="code" href="loc__gauss__newton_8h.html">loc_gauss_newton.h</a>"</span></div>
+<div class="line"><a name="l00032"></a><span class="lineno"> 32</span> <span class="preprocessor">#include "<a class="code" href="dist__based__fi_8h.html">dist_based_fi.h</a>"</span></div>
+<div class="line"><a name="l00033"></a><span class="lineno"> 33</span> <span class="preprocessor">#include "<a class="code" href="dist__based__position_8h.html">dist_based_position.h</a>"</span></div>
+<div class="line"><a name="l00034"></a><span class="lineno"> 34</span> <span class="preprocessor">#include "<a class="code" href="dist__based__jacobian_8h.html">dist_based_jacobian.h</a>"</span></div>
+<div class="line"><a name="l00035"></a><span class="lineno"> 35</span> <span class="preprocessor">#include "<a class="code" href="vector_8h.html">vector.h</a>"</span></div>
+<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  </div>
+<div class="line"><a name="l00037"></a><span class="lineno"><a class="line" href="position__optimization__test_8c.html#adf2ebfc668717eeac312234ac2b24166"> 37</a></span> <span class="keywordtype">void</span> <a class="code" href="position__optimization__test_8c.html#adf2ebfc668717eeac312234ac2b24166">position_optimization_test</a>(<span class="keywordtype">void</span>)</div>
+<div class="line"><a name="l00038"></a><span class="lineno"> 38</span> {</div>
+<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> ref_pos_matrix[4][3] = { { 0, 0, 1.67 }, <span class="comment">// P1</span></div>
+<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>  { 4.5, 0, 0.75 }, <span class="comment">// P2</span></div>
+<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  { 4.5, 4.45, 0.75 }, <span class="comment">// P3</span></div>
+<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  { 0, 4.92, 0.86 } <span class="comment">// P4</span></div>
+<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  };</div>
+<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  </div>
+<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  uint8_t ref_num = 4;</div>
+<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  <span class="keywordtype">double</span> true_pos[] = { 1.0000, 1.0000, 0.0000 };</div>
+<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  <span class="keywordtype">double</span> measured_dist_arr[] = { 2.1893555, 3.7321172, 4.9925183, 4.1269400 };</div>
+<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> start_pos[] = { 0.9645166, 0.9894337, -0.1127879 };</div>
+<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  <span class="keywordtype">double</span> est_pos[3];</div>
+<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  </div>
+<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  uint8_t iter_num;</div>
+<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> fmin = 1e-11;</div>
+<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> eps = 1e-3;</div>
+<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> beta0 = 0.2;</div>
+<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> beta1 = 0.8;</div>
+<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> tau = 1e-6;</div>
+<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  uint8_t max_iter_num = 100;</div>
+<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  </div>
+<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  iter_num = <a class="code" href="loc__gauss__newton_8h.html#aaba1f25cf23d5529e4fc3bca22f8784e">loc_gauss_newton</a>(ref_num, ref_pos_matrix, start_pos,</div>
+<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  measured_dist_arr, eps, fmin, max_iter_num, est_pos,</div>
+<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  &<a class="code" href="dist__based__fi_8c.html#a2a1d8806de5f7f5131be1fbd706c17fa">dist_based_f_i</a>, &<a class="code" href="dist__based__jacobian_8c.html#a59b1a3323c2896ff28f71135af0204a2">dist_based_jacobian_get_JTJ</a>,</div>
+<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  &<a class="code" href="dist__based__jacobian_8c.html#a769d35615d26a67b97bfd40b5d26a95c">dist_based_jacobian_get_JTf</a>);</div>
+<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  printf(<span class="stringliteral">"True position = "</span>);</div>
+<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  <a class="code" href="vector_8h.html#ab2827264910e858f238868695a92db4b">vector_flex_print</a>(3, true_pos, 3, 4);</div>
+<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  printf(<span class="stringliteral">"Optimized position with Gauss-Newton algorithm = "</span>);</div>
+<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  <a class="code" href="vector_8h.html#ab2827264910e858f238868695a92db4b">vector_flex_print</a>(3, est_pos, 5, 7);</div>
+<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  printf(<span class="stringliteral">"iteration number = %u\n"</span>, iter_num);</div>
+<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  </div>
+<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  <a class="code" href="vector_8h.html#a758d38ad9623aa8c385bce765a3b7d17">vector_clear</a>((uint8_t) 3, est_pos);</div>
+<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  </div>
+<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  iter_num = <a class="code" href="loc__levenberg__marquardt_8h.html#a09fdd720ff5c5658e160657153ee615f">loc_levenberg_marquardt</a>(ref_num, ref_pos_matrix, start_pos,</div>
+<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  measured_dist_arr, eps, tau, beta0, beta1, max_iter_num,</div>
+<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  est_pos,</div>
+<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  &<a class="code" href="dist__based__fi_8c.html#a2a1d8806de5f7f5131be1fbd706c17fa">dist_based_f_i</a>, &<a class="code" href="dist__based__jacobian_8c.html#a59b1a3323c2896ff28f71135af0204a2">dist_based_jacobian_get_JTJ</a>,</div>
+<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  &<a class="code" href="dist__based__jacobian_8c.html#a769d35615d26a67b97bfd40b5d26a95c">dist_based_jacobian_get_JTf</a>,</div>
+<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  &<a class="code" href="dist__based__jacobian_8c.html#a04231d3d216ce6814eb3e183f7a2e408">dist_based_jacobian_get_J_mul_s</a>);</div>
+<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  printf(<span class="stringliteral">"Optimized position with Levenberg-Marquardt algorithm = "</span>);</div>
+<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  <a class="code" href="vector_8h.html#ab2827264910e858f238868695a92db4b">vector_flex_print</a>(3, est_pos, 5, 7);</div>
+<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  printf(<span class="stringliteral">"iteration number = %u\n"</span>, iter_num);</div>
+<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  </div>
+<div class="line"><a name="l00084"></a><span class="lineno"> 84</span> }</div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="avector_8h_html_ab2827264910e858f238868695a92db4b"><div class="ttname"><a href="vector_8h.html#ab2827264910e858f238868695a92db4b">vector_flex_print</a></div><div class="ttdeci">void vector_flex_print(uint32_t length, vector_t arr[], uint8_t before_dot, uint8_t after_dot)</div><div class="ttdoc">Display the values of the vector's elements.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00284">vector.c:284</a></div></div>
+<div class="ttc" id="aloc__levenberg__marquardt_8h_html_a09fdd720ff5c5658e160657153ee615f"><div class="ttname"><a href="loc__levenberg__marquardt_8h.html#a09fdd720ff5c5658e160657153ee615f">loc_levenberg_marquardt</a></div><div class="ttdeci">uint8_t loc_levenberg_marquardt(uint8_t ref_points_num, matrix_t ref_points_matrix[ref_points_num][3], matrix_t start_pos[3], matrix_t measured_data_vec[ref_points_num], matrix_t eps, matrix_t tau, matrix_t beta0, matrix_t beta1, uint8_t max_iter_num, matrix_t est_pos[3], void(*f_i)(uint8_t ref_points_num, matrix_t ref_point_mat[ref_points_num][3], matrix_t point[3], matrix_t d_vec[], matrix_t f_vec[]), void(*jacobian_get_JTJ)(uint8_t ref_points_num, matrix_t ref_point_matrix[][3], matrix_t point[3], matrix_t data_vec[ref_points_num], matrix_t JTJ[3][3]), void(*jacobian_get_JTf)(uint8_t ref_points_num, matrix_t ref_point_matrix[][3], matrix_t point[3], matrix_t data_vec[ref_points_num], matrix_t JTf[3]), void(*jacobian_get_J_mul_s)(uint8_t ref_points_num, matrix_t ref_point_matrix[][3], matrix_t point[3], matrix_t s[3], matrix_t J_s[ref_points_num]))</div><div class="ttdoc">Implements the Levenberg–Marquardt (LVM) algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="loc__levenberg__marquardt_8c_source.html#l00126">loc_levenberg_marquardt.c:126</a></div></div>
+<div class="ttc" id="adist__based__jacobian_8h_html"><div class="ttname"><a href="dist__based__jacobian_8h.html">dist_based_jacobian.h</a></div><div class="ttdoc">Jacobian function of distance-based localization systems.</div></div>
+<div class="ttc" id="aloc__levenberg__marquardt_8h_html"><div class="ttname"><a href="loc__levenberg__marquardt_8h.html">loc_levenberg_marquardt.h</a></div><div class="ttdoc">Implement the Levenberg–Marquardt (LVM) algorithm for position optimization.</div></div>
+<div class="ttc" id="adist__based__position_8h_html"><div class="ttname"><a href="dist__based__position_8h.html">dist_based_position.h</a></div><div class="ttdoc">Functions of distance-based localization systems.</div></div>
+<div class="ttc" id="avector_8h_html_acb41430bc5720dda7d1c45d91a0b0221"><div class="ttname"><a href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a></div><div class="ttdeci">#define vector_t</div><div class="ttdoc">Define the data type of the vector elements.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8h_source.html#l00033">vector.h:33</a></div></div>
+<div class="ttc" id="adist__based__jacobian_8c_html_a04231d3d216ce6814eb3e183f7a2e408"><div class="ttname"><a href="dist__based__jacobian_8c.html#a04231d3d216ce6814eb3e183f7a2e408">dist_based_jacobian_get_J_mul_s</a></div><div class="ttdeci">void dist_based_jacobian_get_J_mul_s(uint8_t ref_points_num, matrix_t ref_point_matrix[ref_points_num][3], matrix_t point[3], matrix_t s[3], matrix_t J_s[ref_points_num])</div><div class="ttdoc">Computes of distance-based localization system.</div><div class="ttdef"><b>Definition:</b> <a href="dist__based__jacobian_8c_source.html#l00132">dist_based_jacobian.c:132</a></div></div>
+<div class="ttc" id="adist__based__fi_8c_html_a2a1d8806de5f7f5131be1fbd706c17fa"><div class="ttname"><a href="dist__based__fi_8c.html#a2a1d8806de5f7f5131be1fbd706c17fa">dist_based_f_i</a></div><div class="ttdeci">void dist_based_f_i(uint8_t ref_points_num, matrix_t ref_point_mat[ref_points_num][3], matrix_t point[3], matrix_t d_vec[], matrix_t f_vec[])</div><div class="ttdoc">Defines the error function of a distance-based localization system.</div><div class="ttdef"><b>Definition:</b> <a href="dist__based__fi_8c_source.html#l00047">dist_based_fi.c:47</a></div></div>
+<div class="ttc" id="adist__based__jacobian_8c_html_a59b1a3323c2896ff28f71135af0204a2"><div class="ttname"><a href="dist__based__jacobian_8c.html#a59b1a3323c2896ff28f71135af0204a2">dist_based_jacobian_get_JTJ</a></div><div class="ttdeci">void dist_based_jacobian_get_JTJ(uint8_t ref_points_num, matrix_t ref_point_matrix[ref_points_num][3], matrix_t point[3], matrix_t dist_vec[ref_points_num], matrix_t JTJ[3][3])</div><div class="ttdoc">Defines of distance-based localization system.</div><div class="ttdef"><b>Definition:</b> <a href="dist__based__jacobian_8c_source.html#l00056">dist_based_jacobian.c:56</a></div></div>
+<div class="ttc" id="avector_8h_html_a758d38ad9623aa8c385bce765a3b7d17"><div class="ttname"><a href="vector_8h.html#a758d38ad9623aa8c385bce765a3b7d17">vector_clear</a></div><div class="ttdeci">void vector_clear(uint8_t size, vector_t arr[])</div><div class="ttdoc">Clear all the elements of the vector.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00032">vector.c:32</a></div></div>
+<div class="ttc" id="aposition__optimization__test_8c_html_adf2ebfc668717eeac312234ac2b24166"><div class="ttname"><a href="position__optimization__test_8c.html#adf2ebfc668717eeac312234ac2b24166">position_optimization_test</a></div><div class="ttdeci">void position_optimization_test(void)</div><div class="ttdoc">Examples of optimization algorithms of a localization system.</div><div class="ttdef"><b>Definition:</b> <a href="position__optimization__test_8c_source.html#l00037">position_optimization_test.c:37</a></div></div>
+<div class="ttc" id="aloc__gauss__newton_8h_html"><div class="ttname"><a href="loc__gauss__newton_8h.html">loc_gauss_newton.h</a></div><div class="ttdoc">Implement the Gauss–Newton algorithm for position optimization.</div></div>
+<div class="ttc" id="aloc__gauss__newton_8h_html_aaba1f25cf23d5529e4fc3bca22f8784e"><div class="ttname"><a href="loc__gauss__newton_8h.html#aaba1f25cf23d5529e4fc3bca22f8784e">loc_gauss_newton</a></div><div class="ttdeci">uint8_t loc_gauss_newton(uint8_t ref_points_num, matrix_t ref_points_matrix[ref_points_num][3], vector_t start_pos[3], matrix_t measured_data_vec[ref_points_num], matrix_t eps, matrix_t fmin, uint8_t max_iter_num, vector_t est_pos[3], void(*f_i)(uint8_t ref_point_num, matrix_t ref_point_mat[ref_points_num][3], matrix_t point[3], matrix_t d_vec[], matrix_t f_vec[]), void(*jacobian_get_JTJ)(uint8_t ref_points_num, matrix_t ref_point_matrix[ref_points_num][3], matrix_t point[3], matrix_t data_vec[ref_points_num], matrix_t JTJ[3][3]), void(*jacobian_get_JTf)(uint8_t ref_points_num, matrix_t ref_point_matrix[ref_points_num][3], matrix_t point[3], matrix_t data_vec[ref_points_num], matrix_t JTf[3]))</div><div class="ttdoc">Implements the modified Gauss–Newton algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="loc__gauss__newton_8c_source.html#l00030">loc_gauss_newton.c:30</a></div></div>
+<div class="ttc" id="adist__based__fi_8h_html"><div class="ttname"><a href="dist__based__fi_8h.html">dist_based_fi.h</a></div><div class="ttdoc">Error function of distance-based localization systems.</div></div>
+<div class="ttc" id="amatrix_8h_html_af38ac6b76d645fea9abd6caeb4d9dd31"><div class="ttname"><a href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a></div><div class="ttdeci">#define matrix_t</div><div class="ttdoc">Define the data type of the matrix elements.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8h_source.html#l00038">matrix.h:38</a></div></div>
+<div class="ttc" id="avector_8h_html"><div class="ttname"><a href="vector_8h.html">vector.h</a></div><div class="ttdoc">Vector computations.</div></div>
+<div class="ttc" id="adist__based__jacobian_8c_html_a769d35615d26a67b97bfd40b5d26a95c"><div class="ttname"><a href="dist__based__jacobian_8c.html#a769d35615d26a67b97bfd40b5d26a95c">dist_based_jacobian_get_JTf</a></div><div class="ttdeci">void dist_based_jacobian_get_JTf(uint8_t ref_points_num, matrix_t ref_point_matrix[ref_points_num][3], matrix_t point[3], matrix_t dist_vec[ref_points_num], vector_t JTf[3])</div><div class="ttdoc">Defines of distance-based localization system.</div><div class="ttdef"><b>Definition:</b> <a href="dist__based__jacobian_8c_source.html#l00028">dist_based_jacobian.c:28</a></div></div>
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+<a href="#func-members">Functions</a> </div>
+ <div class="headertitle">
+<div class="title">position_optimization_test.h File Reference<div class="ingroups"><a class="el" href="group__examples.html">EXAMPLES</a></div></div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Examples of optimization algorithms for localization systems.
+<a href="#details">More...</a></p>
+
+<p><a href="position__optimization__test_8h_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:adf2ebfc668717eeac312234ac2b24166"><td class="memItemLeft" align="right" valign="top"><a id="adf2ebfc668717eeac312234ac2b24166"></a>
+void </td><td class="memItemRight" valign="bottom"><a class="el" href="position__optimization__test_8h.html#adf2ebfc668717eeac312234ac2b24166">position_optimization_test</a> (void)</td></tr>
+<tr class="memdesc:adf2ebfc668717eeac312234ac2b24166"><td class="mdescLeft"> </td><td class="mdescRight">Examples of optimization algorithms of a localization system. <br /></td></tr>
+<tr class="separator:adf2ebfc668717eeac312234ac2b24166"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Examples of optimization algorithms for localization systems. </p>
+<p>Optimization algorithms examples for localization systems. (see the <a class="el" href="loc__gauss__newton_8h.html">modified GN</a> and <a class="el" href="loc__levenberg__marquardt_8h.html">LVM</a> optimization methods).</p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd>
+<dd>
+Naouar Guerchali </dd>
+<dd>
+Abdelmoumen Norrdine <a href="#" onclick="location.href='mai'+'lto:'+'a.n'+'or'+'rdi'+'ne'+'@go'+'og'+'lem'+'ai'+'l.c'+'om'; return false;">a.nor<span style="display: none;">.nosp@m.</span>rdin<span style="display: none;">.nosp@m.</span>e@goo<span style="display: none;">.nosp@m.</span>glem<span style="display: none;">.nosp@m.</span>ail.c<span style="display: none;">.nosp@m.</span>om</a> </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="position__optimization__test_8h_source.html">position_optimization_test.h</a>.</p>
+</div></div><!-- contents -->
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+<div class="title">position_optimization_test.h</div> </div>
+</div><!--header-->
+<div class="contents">
+<a href="position__optimization__test_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="preprocessor">#ifndef POSITION_OPTIMIZATION_TEST_H_</span></div>
+<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="preprocessor">#define POSITION_OPTIMIZATION_TEST_H_</span></div>
+<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>  </div>
+<div class="line"><a name="l00035"></a><span class="lineno"> 35</span> <span class="keywordtype">void</span> <a class="code" href="position__optimization__test_8h.html#adf2ebfc668717eeac312234ac2b24166">position_optimization_test</a>(<span class="keywordtype">void</span>);</div>
+<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  </div>
+<div class="line"><a name="l00037"></a><span class="lineno"> 37</span> <span class="preprocessor">#endif </span><span class="comment">/* POSITION_OPTIMIZATION_TEST_H_ */</span><span class="preprocessor"></span></div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="aposition__optimization__test_8h_html_adf2ebfc668717eeac312234ac2b24166"><div class="ttname"><a href="position__optimization__test_8h.html#adf2ebfc668717eeac312234ac2b24166">position_optimization_test</a></div><div class="ttdeci">void position_optimization_test(void)</div><div class="ttdoc">Examples of optimization algorithms of a localization system.</div><div class="ttdef"><b>Definition:</b> <a href="position__optimization__test_8c_source.html#l00037">position_optimization_test.c:37</a></div></div>
+<!-- start footer part -->
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diff --git a/doc/doxygen/html/pseudo__inverse_8h.html b/doc/doxygen/html/pseudo__inverse_8h.html
new file mode 100644
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--- /dev/null
+++ b/doc/doxygen/html/pseudo__inverse_8h.html
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+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "https://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
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+ <td id="projectalign" style="padding-left: 0.5em;">
+ <div id="projectname">RcdMathLib_doc
+ </div>
+ <div id="projectbrief">Open Source Library for Linear and Non-linear Algebra</div>
+ </td>
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+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.16 -->
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+<script type="text/javascript">
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+$(document).ready(function(){initNavTree('pseudo__inverse_8h.html','');});
+/* @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="#enum-members">Enumerations</a> </div>
+ <div class="headertitle">
+<div class="title">pseudo_inverse.h File Reference<div class="ingroups"><a class="el" href="group__linear__algebra.html">LINEAR_ALGEBRA</a> » <a class="el" href="group__pseudo__inverse.html">PSEUDO_INVERSE</a></div></div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Compute the pseudo-inverse of a matrix.
+<a href="#details">More...</a></p>
+
+<p><a href="pseudo__inverse_8h_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="enum-members"></a>
+Enumerations</h2></td></tr>
+<tr class="memitem:aeead1612e2f846fe32e4c50e1ab3d7c3"><td class="memItemLeft" align="right" valign="top">enum  </td><td class="memItemRight" valign="bottom"><a class="el" href="pseudo__inverse_8h.html#aeead1612e2f846fe32e4c50e1ab3d7c3">ALGORITHM</a> { <a class="el" href="pseudo__inverse_8h.html#aeead1612e2f846fe32e4c50e1ab3d7c3ae835310f82eb01d07137e72133cd5b06">Moore_Penrose</a>,
+<a class="el" href="pseudo__inverse_8h.html#aeead1612e2f846fe32e4c50e1ab3d7c3a9db08339065f28367b9ae058d1127a04">Householder</a>,
+<a class="el" href="pseudo__inverse_8h.html#aeead1612e2f846fe32e4c50e1ab3d7c3aab4d4fdd6aa659e7306fa9abf3d0a991">Givens</a>,
+<a class="el" href="pseudo__inverse_8h.html#aeead1612e2f846fe32e4c50e1ab3d7c3ab15a7891aa5223439e4692a1048cb220">Gauss</a>
+ }</td></tr>
+<tr class="memdesc:aeead1612e2f846fe32e4c50e1ab3d7c3"><td class="mdescLeft"> </td><td class="mdescRight">Possible algorithms to compute the pseudo-inverse matrix. <a href="pseudo__inverse_8h.html#aeead1612e2f846fe32e4c50e1ab3d7c3">More...</a><br /></td></tr>
+<tr class="separator:aeead1612e2f846fe32e4c50e1ab3d7c3"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Compute the pseudo-inverse of a matrix. </p>
+<p>The pseudo-inverse matrix can be computed using the Singular Value Decomposition (SVD), Householder, or Givens algorithms.</p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="pseudo__inverse_8h_source.html">pseudo_inverse.h</a>.</p>
+</div><h2 class="groupheader">Enumeration Type Documentation</h2>
+<a id="aeead1612e2f846fe32e4c50e1ab3d7c3"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#aeead1612e2f846fe32e4c50e1ab3d7c3">◆ </a></span>ALGORITHM</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">enum <a class="el" href="pseudo__inverse_8h.html#aeead1612e2f846fe32e4c50e1ab3d7c3">ALGORITHM</a></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Possible algorithms to compute the pseudo-inverse matrix. </p>
+<table class="fieldtable">
+<tr><th colspan="2">Enumerator</th></tr><tr><td class="fieldname"><a id="aeead1612e2f846fe32e4c50e1ab3d7c3ae835310f82eb01d07137e72133cd5b06"></a>Moore_Penrose </td><td class="fielddoc"><p>Moore–Penrose algorithm. </p>
+</td></tr>
+<tr><td class="fieldname"><a id="aeead1612e2f846fe32e4c50e1ab3d7c3a9db08339065f28367b9ae058d1127a04"></a>Householder </td><td class="fielddoc"><p>Householder algorithm. </p>
+</td></tr>
+<tr><td class="fieldname"><a id="aeead1612e2f846fe32e4c50e1ab3d7c3aab4d4fdd6aa659e7306fa9abf3d0a991"></a>Givens </td><td class="fielddoc"><p>Givens algorithm. </p>
+</td></tr>
+<tr><td class="fieldname"><a id="aeead1612e2f846fe32e4c50e1ab3d7c3ab15a7891aa5223439e4692a1048cb220"></a>Gauss </td><td class="fielddoc"><p>Gaussian elimination with pivoting algorithm. </p>
+</td></tr>
+</table>
+
+<p class="definition">Definition at line <a class="el" href="pseudo__inverse_8h_source.html#l00030">30</a> of file <a class="el" href="pseudo__inverse_8h_source.html">pseudo_inverse.h</a>.</p>
+
+</div>
+</div>
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+</div><!-- doc-content -->
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+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="navelem"><a class="el" href="dir_8c4128baa09a573ad2b8b8c0061a04c9.html">linear_algebra</a></li><li class="navelem"><a class="el" href="dir_26c6b27917397f8a74a0fdde30fa8c1c.html">pseudo_inverse</a></li><li class="navelem"><a class="el" href="dir_67e8c5a6e5ecbf2be8ed6f96c0e04fcd.html">include</a></li><li class="navelem"><a class="el" href="pseudo__inverse_8h.html">pseudo_inverse.h</a></li>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
+ </ul>
+</div>
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+ [ "Householder", "pseudo__inverse_8h.html#aeead1612e2f846fe32e4c50e1ab3d7c3a9db08339065f28367b9ae058d1127a04", null ],
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+<html xmlns="http://www.w3.org/1999/xhtml">
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+<meta name="generator" content="Doxygen 1.8.16"/>
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+<title>RcdMathLib_doc: pseudo_inverse.h Source File</title>
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+ <tr style="height: 56px;">
+ <td id="projectalign" style="padding-left: 0.5em;">
+ <div id="projectname">RcdMathLib_doc
+ </div>
+ <div id="projectbrief">Open Source Library for Linear and Non-linear Algebra</div>
+ </td>
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+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.16 -->
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+/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&dn=gpl-2.0.txt GPL-v2 */
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+/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&dn=gpl-2.0.txt GPL-v2 */
+$(document).ready(function(){initNavTree('pseudo__inverse_8h_source.html','');});
+/* @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>
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+<!-- iframe showing the search results (closed by default) -->
+<div id="MSearchResultsWindow">
+<iframe src="javascript:void(0)" frameborder="0"
+ name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="header">
+ <div class="headertitle">
+<div class="title">pseudo_inverse.h</div> </div>
+</div><!--header-->
+<div class="contents">
+<a href="pseudo__inverse_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="preprocessor">#ifndef PSEUDO_INVERSE_H_</span></div>
+<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#define PSEUDO_INVERSE_H_</span></div>
+<div class="line"><a name="l00026"></a><span class="lineno"> 26</span>  </div>
+<div class="line"><a name="l00030"></a><span class="lineno"><a class="line" href="pseudo__inverse_8h.html#aeead1612e2f846fe32e4c50e1ab3d7c3"> 30</a></span> <span class="keyword">enum</span> <a class="code" href="pseudo__inverse_8h.html#aeead1612e2f846fe32e4c50e1ab3d7c3">ALGORITHM</a> {</div>
+<div class="line"><a name="l00031"></a><span class="lineno"><a class="line" href="pseudo__inverse_8h.html#aeead1612e2f846fe32e4c50e1ab3d7c3ae835310f82eb01d07137e72133cd5b06"> 31</a></span>  <a class="code" href="pseudo__inverse_8h.html#aeead1612e2f846fe32e4c50e1ab3d7c3ae835310f82eb01d07137e72133cd5b06">Moore_Penrose</a>, </div>
+<div class="line"><a name="l00032"></a><span class="lineno"><a class="line" href="pseudo__inverse_8h.html#aeead1612e2f846fe32e4c50e1ab3d7c3a9db08339065f28367b9ae058d1127a04"> 32</a></span>  <a class="code" href="pseudo__inverse_8h.html#aeead1612e2f846fe32e4c50e1ab3d7c3a9db08339065f28367b9ae058d1127a04">Householder</a>, </div>
+<div class="line"><a name="l00033"></a><span class="lineno"><a class="line" href="pseudo__inverse_8h.html#aeead1612e2f846fe32e4c50e1ab3d7c3aab4d4fdd6aa659e7306fa9abf3d0a991"> 33</a></span>  <a class="code" href="pseudo__inverse_8h.html#aeead1612e2f846fe32e4c50e1ab3d7c3aab4d4fdd6aa659e7306fa9abf3d0a991">Givens</a>, </div>
+<div class="line"><a name="l00034"></a><span class="lineno"><a class="line" href="pseudo__inverse_8h.html#aeead1612e2f846fe32e4c50e1ab3d7c3ab15a7891aa5223439e4692a1048cb220"> 34</a></span>  <a class="code" href="pseudo__inverse_8h.html#aeead1612e2f846fe32e4c50e1ab3d7c3ab15a7891aa5223439e4692a1048cb220">Gauss</a> </div>
+<div class="line"><a name="l00035"></a><span class="lineno"> 35</span> };</div>
+<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  </div>
+<div class="line"><a name="l00037"></a><span class="lineno"> 37</span> <span class="preprocessor">#endif </span><span class="comment">/* PSEUDO_INVERSE_H_ */</span><span class="preprocessor"></span></div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="apseudo__inverse_8h_html_aeead1612e2f846fe32e4c50e1ab3d7c3aab4d4fdd6aa659e7306fa9abf3d0a991"><div class="ttname"><a href="pseudo__inverse_8h.html#aeead1612e2f846fe32e4c50e1ab3d7c3aab4d4fdd6aa659e7306fa9abf3d0a991">Givens</a></div><div class="ttdoc">Givens algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="pseudo__inverse_8h_source.html#l00033">pseudo_inverse.h:33</a></div></div>
+<div class="ttc" id="apseudo__inverse_8h_html_aeead1612e2f846fe32e4c50e1ab3d7c3ae835310f82eb01d07137e72133cd5b06"><div class="ttname"><a href="pseudo__inverse_8h.html#aeead1612e2f846fe32e4c50e1ab3d7c3ae835310f82eb01d07137e72133cd5b06">Moore_Penrose</a></div><div class="ttdoc">Moore–Penrose algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="pseudo__inverse_8h_source.html#l00031">pseudo_inverse.h:31</a></div></div>
+<div class="ttc" id="apseudo__inverse_8h_html_aeead1612e2f846fe32e4c50e1ab3d7c3a9db08339065f28367b9ae058d1127a04"><div class="ttname"><a href="pseudo__inverse_8h.html#aeead1612e2f846fe32e4c50e1ab3d7c3a9db08339065f28367b9ae058d1127a04">Householder</a></div><div class="ttdoc">Householder algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="pseudo__inverse_8h_source.html#l00032">pseudo_inverse.h:32</a></div></div>
+<div class="ttc" id="apseudo__inverse_8h_html_aeead1612e2f846fe32e4c50e1ab3d7c3"><div class="ttname"><a href="pseudo__inverse_8h.html#aeead1612e2f846fe32e4c50e1ab3d7c3">ALGORITHM</a></div><div class="ttdeci">ALGORITHM</div><div class="ttdoc">Possible algorithms to compute the pseudo-inverse matrix.</div><div class="ttdef"><b>Definition:</b> <a href="pseudo__inverse_8h_source.html#l00030">pseudo_inverse.h:30</a></div></div>
+<div class="ttc" id="apseudo__inverse_8h_html_aeead1612e2f846fe32e4c50e1ab3d7c3ab15a7891aa5223439e4692a1048cb220"><div class="ttname"><a href="pseudo__inverse_8h.html#aeead1612e2f846fe32e4c50e1ab3d7c3ab15a7891aa5223439e4692a1048cb220">Gauss</a></div><div class="ttdoc">Gaussian elimination with pivoting algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="pseudo__inverse_8h_source.html#l00034">pseudo_inverse.h:34</a></div></div>
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+ <div id="projectname">RcdMathLib_doc
+ </div>
+ <div id="projectbrief">Open Source Library for Linear and Non-linear Algebra</div>
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+ <div class="summary">
+<a href="#func-members">Functions</a> </div>
+ <div class="headertitle">
+<div class="title">qr_common.c File Reference</div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Common definitions and implementations for the QR-decomposition. Provide necessary methods to construct Q- and R- matrices using.
+<a href="#details">More...</a></p>
+<div class="textblock"><code>#include <inttypes.h></code><br />
+<code>#include <stdio.h></code><br />
+<code>#include <string.h></code><br />
+<code>#include "<a class="el" href="matrix_8h_source.html">matrix.h</a>"</code><br />
+</div>
+<p><a href="qr__common_8c_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:adad26253c0e08a0d9fe2dfe0f6d64112"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="qr__common_8c.html#adad26253c0e08a0d9fe2dfe0f6d64112">qr_common_backward_subst</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> U[][n], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> b[m], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> x_sol[m])</td></tr>
+<tr class="memdesc:adad26253c0e08a0d9fe2dfe0f6d64112"><td class="mdescLeft"> </td><td class="mdescRight">Implements the backward substitution algorithm. <a href="qr__common_8c.html#adad26253c0e08a0d9fe2dfe0f6d64112">More...</a><br /></td></tr>
+<tr class="separator:adad26253c0e08a0d9fe2dfe0f6d64112"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a47e88b1e236d3637717ea144811cdc1b"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="qr__common_8c.html#a47e88b1e236d3637717ea144811cdc1b">qr_common_get_reduced_QR</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> Q[m][m], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> R[m][n], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> reduc_Q[m][n], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> reduc_R[n][n])</td></tr>
+<tr class="memdesc:a47e88b1e236d3637717ea144811cdc1b"><td class="mdescLeft"> </td><td class="mdescRight">Compute the reduced form of the QR-decomposition algorithm. <a href="qr__common_8c.html#a47e88b1e236d3637717ea144811cdc1b">More...</a><br /></td></tr>
+<tr class="separator:a47e88b1e236d3637717ea144811cdc1b"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Common definitions and implementations for the QR-decomposition. Provide necessary methods to construct Q- and R- matrices using. </p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="qr__common_8c_source.html">qr_common.c</a>.</p>
+</div><h2 class="groupheader">Function Documentation</h2>
+<a id="adad26253c0e08a0d9fe2dfe0f6d64112"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#adad26253c0e08a0d9fe2dfe0f6d64112">◆ </a></span>qr_common_backward_subst()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void qr_common_backward_subst </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>U</em>[][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>b</em>[m], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>x_sol</em>[m] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Implements the backward substitution algorithm. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">U[][]</td><td>pointer to the matrix U. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">b[]</td><td>pointer to the vector b. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">x_sol[]</td><td>pointer to the solution of the substitution algorithm. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="qr__common_8c_source.html#l00028">28</a> of file <a class="el" href="qr__common_8c_source.html">qr_common.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="solve_8c_source.html#l00102">solve_givens()</a>, <a class="el" href="solve_8c_source.html#l00077">solve_householder()</a>, and <a class="el" href="solve_8c_source.html#l00124">solve_lu_decomp()</a>.</p>
+
+</div>
+</div>
+<a id="a47e88b1e236d3637717ea144811cdc1b"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a47e88b1e236d3637717ea144811cdc1b">◆ </a></span>qr_common_get_reduced_QR()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void qr_common_get_reduced_QR </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>Q</em>[m][m], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>R</em>[m][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>red_Q</em>[m][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>red_R</em>[n][n] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute the reduced form of the QR-decomposition algorithm. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">Q[][]</td><td>pointer to the matrix Q. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">R[][]</td><td>pointer to the matrix R. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">red_Q[][]</td><td>pointer to the reduced matrix Q. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">red_R[][]</td><td>pointer to the reduced matrix R. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="qr__common_8c_source.html#l00059">59</a> of file <a class="el" href="qr__common_8c_source.html">qr_common.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8c_source.html#l00089">matrix_part_copy()</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
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+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
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+</body>
+</html>
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+++ b/doc/doxygen/html/qr__common_8c.js
@@ -0,0 +1,5 @@
+var qr__common_8c =
+[
+ [ "qr_common_backward_subst", "qr__common_8c.html#adad26253c0e08a0d9fe2dfe0f6d64112", null ],
+ [ "qr_common_get_reduced_QR", "qr__common_8c.html#a47e88b1e236d3637717ea144811cdc1b", null ]
+];
\ No newline at end of file
diff --git a/doc/doxygen/html/qr__common_8c_source.html b/doc/doxygen/html/qr__common_8c_source.html
new file mode 100644
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--- /dev/null
+++ b/doc/doxygen/html/qr__common_8c_source.html
@@ -0,0 +1,169 @@
+<!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">
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+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
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+<meta name="generator" content="Doxygen 1.8.16"/>
+<meta name="viewport" content="width=device-width, initial-scale=1"/>
+<title>RcdMathLib_doc: qr_common.c Source File</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="jquery.js"></script>
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+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+ <td id="projectalign" style="padding-left: 0.5em;">
+ <div id="projectname">RcdMathLib_doc
+ </div>
+ <div id="projectbrief">Open Source Library for Linear and Non-linear Algebra</div>
+ </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.16 -->
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+$(document).ready(function(){initNavTree('qr__common_8c_source.html','');});
+/* @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>
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+ name="MSearchResults" id="MSearchResults">
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+
+<div class="header">
+ <div class="headertitle">
+<div class="title">qr_common.c</div> </div>
+</div><!--header-->
+<div class="contents">
+<a href="qr__common_8c.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00022"></a><span class="lineno"> 22</span> <span class="preprocessor">#include <inttypes.h></span></div>
+<div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="preprocessor">#include <stdio.h></span></div>
+<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="preprocessor">#include <string.h></span></div>
+<div class="line"><a name="l00025"></a><span class="lineno"> 25</span>  </div>
+<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="preprocessor">#include "<a class="code" href="matrix_8h.html">matrix.h</a>"</span></div>
+<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>  </div>
+<div class="line"><a name="l00028"></a><span class="lineno"><a class="line" href="qr__common_8c.html#adad26253c0e08a0d9fe2dfe0f6d64112"> 28</a></span> <span class="keywordtype">void</span> <a class="code" href="qr__common_8c.html#adad26253c0e08a0d9fe2dfe0f6d64112">qr_common_backward_subst</a>(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> U[][n],</div>
+<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> b[m], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> x_sol[m])</div>
+<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> {</div>
+<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  int8_t i;</div>
+<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>  uint8_t j;</div>
+<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> sum;</div>
+<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  </div>
+<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  <span class="keywordflow">if</span> (m != n) {</div>
+<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  puts(<span class="stringliteral">"The matrix should be square !!!"</span>);</div>
+<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  <span class="keywordflow">return</span>;</div>
+<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  }</div>
+<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>  </div>
+<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>  <span class="comment">//clear x_sol</span></div>
+<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  memset(x_sol, 0, <span class="keyword">sizeof</span>(<a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a>) * m);</div>
+<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  </div>
+<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  <span class="keywordflow">if</span> (U[m - 1][m - 1] != 0) {</div>
+<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  x_sol[m - 1] = b[m - 1] / U[m - 1][m - 1];</div>
+<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  }</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">for</span> (i = m - 2; i >= 0; i--) {</div>
+<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  sum = 0.0;</div>
+<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  <span class="keywordflow">for</span> (j = i + 1; j < m; j++) {</div>
+<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  sum += U[i][j] * x_sol[j];</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="keywordflow">if</span> (U[i][i] != 0) {</div>
+<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  x_sol[i] = (b[i] - sum) / U[i][i];</div>
+<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  }</div>
+<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  }</div>
+<div class="line"><a name="l00057"></a><span class="lineno"> 57</span> }</div>
+<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  </div>
+<div class="line"><a name="l00059"></a><span class="lineno"><a class="line" href="qr__common_8c.html#a47e88b1e236d3637717ea144811cdc1b"> 59</a></span> <span class="keywordtype">void</span> <a class="code" href="qr__common_8c.html#a47e88b1e236d3637717ea144811cdc1b">qr_common_get_reduced_QR</a>(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> Q[m][m],</div>
+<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> R[m][n], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> reduc_Q[m][n],</div>
+<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> reduc_R[n][n])</div>
+<div class="line"><a name="l00062"></a><span class="lineno"> 62</span> {</div>
+<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  <span class="keywordflow">if</span> (m >= n) {</div>
+<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  <a class="code" href="matrix_8h.html#a56513a88eff05b0683320c532fadf945">matrix_part_copy</a>(m, m, Q, 0, m - 1, 0, n - 1, m, n, reduc_Q);</div>
+<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  <a class="code" href="matrix_8h.html#a56513a88eff05b0683320c532fadf945">matrix_part_copy</a>(m, n, R, 0, n - 1, 0, n - 1, n, n, reduc_R);</div>
+<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  }</div>
+<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  <span class="keywordflow">else</span> {</div>
+<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  puts(</div>
+<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  <span class="stringliteral">"The row number of A should be greater than the column number of A"</span>);</div>
+<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  }</div>
+<div class="line"><a name="l00071"></a><span class="lineno"> 71</span> }</div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="aqr__common_8c_html_adad26253c0e08a0d9fe2dfe0f6d64112"><div class="ttname"><a href="qr__common_8c.html#adad26253c0e08a0d9fe2dfe0f6d64112">qr_common_backward_subst</a></div><div class="ttdeci">void qr_common_backward_subst(uint8_t m, uint8_t n, matrix_t U[][n], matrix_t b[m], matrix_t x_sol[m])</div><div class="ttdoc">Implements the backward substitution algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="qr__common_8c_source.html#l00028">qr_common.c:28</a></div></div>
+<div class="ttc" id="aqr__common_8c_html_a47e88b1e236d3637717ea144811cdc1b"><div class="ttname"><a href="qr__common_8c.html#a47e88b1e236d3637717ea144811cdc1b">qr_common_get_reduced_QR</a></div><div class="ttdeci">void qr_common_get_reduced_QR(uint8_t m, uint8_t n, matrix_t Q[m][m], matrix_t R[m][n], matrix_t reduc_Q[m][n], matrix_t reduc_R[n][n])</div><div class="ttdoc">Compute the reduced form of the QR-decomposition algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="qr__common_8c_source.html#l00059">qr_common.c:59</a></div></div>
+<div class="ttc" id="amatrix_8h_html"><div class="ttname"><a href="matrix_8h.html">matrix.h</a></div><div class="ttdoc">Matrix computations.</div></div>
+<div class="ttc" id="amatrix_8h_html_af38ac6b76d645fea9abd6caeb4d9dd31"><div class="ttname"><a href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a></div><div class="ttdeci">#define matrix_t</div><div class="ttdoc">Define the data type of the matrix elements.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8h_source.html#l00038">matrix.h:38</a></div></div>
+<div class="ttc" id="amatrix_8h_html_a56513a88eff05b0683320c532fadf945"><div class="ttname"><a href="matrix_8h.html#a56513a88eff05b0683320c532fadf945">matrix_part_copy</a></div><div class="ttdeci">void matrix_part_copy(uint8_t m, uint8_t n, matrix_t src_matrix[m][n], uint8_t start_row_ind, uint8_t end_row_ind, uint8_t start_col_ind, uint8_t end_col_ind, uint8_t dest_row_num, uint8_t dest_col_num, matrix_t dest_matrix[][dest_col_num])</div><div class="ttdoc">Copy a part of a matrix to another matrix or sub-matrix.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00089">matrix.c:89</a></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_8c4128baa09a573ad2b8b8c0061a04c9.html">linear_algebra</a></li><li class="navelem"><a class="el" href="dir_997ac76a3d72a25dec85442c5f6c585d.html">matrix_decompositions</a></li><li class="navelem"><a class="el" href="qr__common_8c.html">qr_common.c</a></li>
+ <li class="footer">Generated by
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diff --git a/doc/doxygen/html/qr__common_8h.html b/doc/doxygen/html/qr__common_8h.html
new file mode 100644
index 0000000000000000000000000000000000000000..4daae217e15e726c6e77838145b6b887050a8d4c
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@@ -0,0 +1,272 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "https://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
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+ <td id="projectalign" style="padding-left: 0.5em;">
+ <div id="projectname">RcdMathLib_doc
+ </div>
+ <div id="projectbrief">Open Source Library for Linear and Non-linear Algebra</div>
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+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.16 -->
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+/* @license-end */
+</script>
+<div id="doc-content">
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+<div id="MSearchSelectWindow"
+ onmouseover="return searchBox.OnSearchSelectShow()"
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+ name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="header">
+ <div class="summary">
+<a href="#enum-members">Enumerations</a> |
+<a href="#func-members">Functions</a> </div>
+ <div class="headertitle">
+<div class="title">qr_common.h File Reference<div class="ingroups"><a class="el" href="group__linear__algebra.html">LINEAR_ALGEBRA</a> » <a class="el" href="group__matrix__decompositions.html">MATRIX_DECOMPOSITIONS</a></div></div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Common definitions and implementations for the QR-decomposition. Provide necessary methods to construct Q- and R- matrices using.
+<a href="#details">More...</a></p>
+<div class="textblock"><code>#include <inttypes.h></code><br />
+<code>#include "<a class="el" href="matrix_8h_source.html">matrix.h</a>"</code><br />
+</div>
+<p><a href="qr__common_8h_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="enum-members"></a>
+Enumerations</h2></td></tr>
+<tr class="memitem:ac62c54358ecc0c35cdef1c3fb37cc73b"><td class="memItemLeft" align="right" valign="top"><a id="ac62c54358ecc0c35cdef1c3fb37cc73b"></a>enum  </td><td class="memItemRight" valign="bottom"><a class="el" href="qr__common_8h.html#ac62c54358ecc0c35cdef1c3fb37cc73b">QR_ALGORITHM</a> { <b>QR_Householder</b>,
+<b>QR_Givens</b>
+ }</td></tr>
+<tr class="memdesc:ac62c54358ecc0c35cdef1c3fb37cc73b"><td class="mdescLeft"> </td><td class="mdescRight">Possible algorithms to compute the QR-decomposition of a matrix. <br /></td></tr>
+<tr class="separator:ac62c54358ecc0c35cdef1c3fb37cc73b"><td class="memSeparator" colspan="2"> </td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:adad26253c0e08a0d9fe2dfe0f6d64112"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="qr__common_8h.html#adad26253c0e08a0d9fe2dfe0f6d64112">qr_common_backward_subst</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> U[][n], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> b[m], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> x_sol[m])</td></tr>
+<tr class="memdesc:adad26253c0e08a0d9fe2dfe0f6d64112"><td class="mdescLeft"> </td><td class="mdescRight">Implements the backward substitution algorithm. <a href="qr__common_8h.html#adad26253c0e08a0d9fe2dfe0f6d64112">More...</a><br /></td></tr>
+<tr class="separator:adad26253c0e08a0d9fe2dfe0f6d64112"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a3144f99da14a69ec80bf9ded23714612"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="qr__common_8h.html#a3144f99da14a69ec80bf9ded23714612">qr_common_get_reduced_QR</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> Q[m][m], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> R[m][n], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> red_Q[m][n], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> red_R[n][n])</td></tr>
+<tr class="memdesc:a3144f99da14a69ec80bf9ded23714612"><td class="mdescLeft"> </td><td class="mdescRight">Compute the reduced form of the QR-decomposition algorithm. <a href="qr__common_8h.html#a3144f99da14a69ec80bf9ded23714612">More...</a><br /></td></tr>
+<tr class="separator:a3144f99da14a69ec80bf9ded23714612"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Common definitions and implementations for the QR-decomposition. Provide necessary methods to construct Q- and R- matrices using. </p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="qr__common_8h_source.html">qr_common.h</a>.</p>
+</div><h2 class="groupheader">Function Documentation</h2>
+<a id="adad26253c0e08a0d9fe2dfe0f6d64112"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#adad26253c0e08a0d9fe2dfe0f6d64112">◆ </a></span>qr_common_backward_subst()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void qr_common_backward_subst </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>U</em>[][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>b</em>[m], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>x_sol</em>[m] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Implements the backward substitution algorithm. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">U[][]</td><td>pointer to the matrix U. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">b[]</td><td>pointer to the vector b. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">x_sol[]</td><td>pointer to the solution of the substitution algorithm. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="qr__common_8c_source.html#l00028">28</a> of file <a class="el" href="qr__common_8c_source.html">qr_common.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="solve_8c_source.html#l00102">solve_givens()</a>, <a class="el" href="solve_8c_source.html#l00077">solve_householder()</a>, and <a class="el" href="solve_8c_source.html#l00124">solve_lu_decomp()</a>.</p>
+
+</div>
+</div>
+<a id="a3144f99da14a69ec80bf9ded23714612"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a3144f99da14a69ec80bf9ded23714612">◆ </a></span>qr_common_get_reduced_QR()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void qr_common_get_reduced_QR </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>Q</em>[m][m], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>R</em>[m][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>red_Q</em>[m][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>red_R</em>[n][n] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute the reduced form of the QR-decomposition algorithm. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">Q[][]</td><td>pointer to the matrix Q. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">R[][]</td><td>pointer to the matrix R. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">red_Q[][]</td><td>pointer to the reduced matrix Q. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">red_R[][]</td><td>pointer to the reduced matrix R. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="qr__common_8c_source.html#l00059">59</a> of file <a class="el" href="qr__common_8c_source.html">qr_common.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8c_source.html#l00089">matrix_part_copy()</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="navelem"><a class="el" href="dir_8c4128baa09a573ad2b8b8c0061a04c9.html">linear_algebra</a></li><li class="navelem"><a class="el" href="dir_997ac76a3d72a25dec85442c5f6c585d.html">matrix_decompositions</a></li><li class="navelem"><a class="el" href="dir_f9311e7dae5ba7dbc6ad9f75e6d9537e.html">include</a></li><li class="navelem"><a class="el" href="qr__common_8h.html">qr_common.h</a></li>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
+ </ul>
+</div>
+</body>
+</html>
diff --git a/doc/doxygen/html/qr__common_8h.js b/doc/doxygen/html/qr__common_8h.js
new file mode 100644
index 0000000000000000000000000000000000000000..926d2876807c6604587f388c528df1fd8468ecff
--- /dev/null
+++ b/doc/doxygen/html/qr__common_8h.js
@@ -0,0 +1,9 @@
+var qr__common_8h =
+[
+ [ "QR_ALGORITHM", "qr__common_8h.html#ac62c54358ecc0c35cdef1c3fb37cc73b", [
+ [ "QR_Householder", "qr__common_8h.html#ac62c54358ecc0c35cdef1c3fb37cc73bad33bdadaec01995a7dee94f202c598e3", null ],
+ [ "QR_Givens", "qr__common_8h.html#ac62c54358ecc0c35cdef1c3fb37cc73bac5a89d2d2ca110939bfab32732fc0f1a", null ]
+ ] ],
+ [ "qr_common_backward_subst", "qr__common_8h.html#adad26253c0e08a0d9fe2dfe0f6d64112", null ],
+ [ "qr_common_get_reduced_QR", "qr__common_8h.html#a3144f99da14a69ec80bf9ded23714612", null ]
+];
\ No newline at end of file
diff --git a/doc/doxygen/html/qr__common_8h_source.html b/doc/doxygen/html/qr__common_8h_source.html
new file mode 100644
index 0000000000000000000000000000000000000000..05887ffc7060af62b1e62d4c44b347b5f212040e
--- /dev/null
+++ b/doc/doxygen/html/qr__common_8h_source.html
@@ -0,0 +1,135 @@
+<!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">
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+<meta name="generator" content="Doxygen 1.8.16"/>
+<meta name="viewport" content="width=device-width, initial-scale=1"/>
+<title>RcdMathLib_doc: qr_common.h Source File</title>
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+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
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+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+ <td id="projectalign" style="padding-left: 0.5em;">
+ <div id="projectname">RcdMathLib_doc
+ </div>
+ <div id="projectbrief">Open Source Library for Linear and Non-linear Algebra</div>
+ </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.16 -->
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+/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&dn=gpl-2.0.txt GPL-v2 */
+$(document).ready(function(){initNavTree('qr__common_8h_source.html','');});
+/* @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"
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+<div class="header">
+ <div class="headertitle">
+<div class="title">qr_common.h</div> </div>
+</div><!--header-->
+<div class="contents">
+<a href="qr__common_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="preprocessor">#ifndef QR_COMMON_H_</span></div>
+<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="preprocessor">#define QR_COMMON_H_</span></div>
+<div class="line"><a name="l00025"></a><span class="lineno"> 25</span>  </div>
+<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="preprocessor">#include <inttypes.h></span></div>
+<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="preprocessor">#include "<a class="code" href="matrix_8h.html">matrix.h</a>"</span></div>
+<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>  </div>
+<div class="line"><a name="l00032"></a><span class="lineno"><a class="line" href="qr__common_8h.html#ac62c54358ecc0c35cdef1c3fb37cc73b"> 32</a></span> <span class="keyword">enum</span> <a class="code" href="qr__common_8h.html#ac62c54358ecc0c35cdef1c3fb37cc73b">QR_ALGORITHM</a> {</div>
+<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>  QR_Householder, QR_Givens</div>
+<div class="line"><a name="l00034"></a><span class="lineno"> 34</span> };</div>
+<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  </div>
+<div class="line"><a name="l00046"></a><span class="lineno"> 46</span> <span class="keywordtype">void</span> <a class="code" href="qr__common_8h.html#adad26253c0e08a0d9fe2dfe0f6d64112">qr_common_backward_subst</a>(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> U[][n],</div>
+<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> b[m], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> x_sol[m]);</div>
+<div class="line"><a name="l00059"></a><span class="lineno"> 59</span> <span class="keywordtype">void</span> <a class="code" href="qr__common_8h.html#a3144f99da14a69ec80bf9ded23714612">qr_common_get_reduced_QR</a>(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> Q[m][m],</div>
+<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> R[m][n], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> red_Q[m][n], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> red_R[n][n]);</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="preprocessor">#endif </span><span class="comment">/* QR_COMMON_H_ */</span><span class="preprocessor"></span></div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="aqr__common_8h_html_ac62c54358ecc0c35cdef1c3fb37cc73b"><div class="ttname"><a href="qr__common_8h.html#ac62c54358ecc0c35cdef1c3fb37cc73b">QR_ALGORITHM</a></div><div class="ttdeci">QR_ALGORITHM</div><div class="ttdoc">Possible algorithms to compute the QR-decomposition of a matrix.</div><div class="ttdef"><b>Definition:</b> <a href="qr__common_8h_source.html#l00032">qr_common.h:32</a></div></div>
+<div class="ttc" id="aqr__common_8h_html_a3144f99da14a69ec80bf9ded23714612"><div class="ttname"><a href="qr__common_8h.html#a3144f99da14a69ec80bf9ded23714612">qr_common_get_reduced_QR</a></div><div class="ttdeci">void qr_common_get_reduced_QR(uint8_t m, uint8_t n, matrix_t Q[m][m], matrix_t R[m][n], matrix_t red_Q[m][n], matrix_t red_R[n][n])</div><div class="ttdoc">Compute the reduced form of the QR-decomposition algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="qr__common_8c_source.html#l00059">qr_common.c:59</a></div></div>
+<div class="ttc" id="aqr__common_8h_html_adad26253c0e08a0d9fe2dfe0f6d64112"><div class="ttname"><a href="qr__common_8h.html#adad26253c0e08a0d9fe2dfe0f6d64112">qr_common_backward_subst</a></div><div class="ttdeci">void qr_common_backward_subst(uint8_t m, uint8_t n, matrix_t U[][n], matrix_t b[m], matrix_t x_sol[m])</div><div class="ttdoc">Implements the backward substitution algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="qr__common_8c_source.html#l00028">qr_common.c:28</a></div></div>
+<div class="ttc" id="amatrix_8h_html"><div class="ttname"><a href="matrix_8h.html">matrix.h</a></div><div class="ttdoc">Matrix computations.</div></div>
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+<a href="#func-members">Functions</a> </div>
+ <div class="headertitle">
+<div class="title">qr_givens.c File Reference</div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Givens algorithm for the QR-decomposition. Provide necessary methods to construct Q- and R- matrices using Givens rotations. A = QR, where Q is an (m <img class="formulaInl" alt="$\times $" src="form_36.png"/> n)-matrix with orthonormal columns and R is an (n <img class="formulaInl" alt="$\times$" src="form_35.png"/> n) upper triangular matrix.
+<a href="#details">More...</a></p>
+<div class="textblock"><code>#include <stdio.h></code><br />
+<code>#include <math.h></code><br />
+<code>#include <float.h></code><br />
+<code>#include "<a class="el" href="matrix_8h_source.html">matrix.h</a>"</code><br />
+<code>#include "<a class="el" href="qr__givens_8h_source.html">qr_givens.h</a>"</code><br />
+</div>
+<p><a href="qr__givens_8c_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a07adca97c58afc057a5cff738f6473cc"><td class="memItemLeft" align="right" valign="top">int8_t </td><td class="memItemRight" valign="bottom"><a class="el" href="qr__givens_8c.html#a07adca97c58afc057a5cff738f6473cc">qr_givens_decomp</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[][n], uint8_t q_col_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> Q[][q_col_num], bool reduced)</td></tr>
+<tr class="memdesc:a07adca97c58afc057a5cff738f6473cc"><td class="mdescLeft"> </td><td class="mdescRight">Computes the QR decomposition of the matrix A by using the Givens algorithm. <a href="qr__givens_8c.html#a07adca97c58afc057a5cff738f6473cc">More...</a><br /></td></tr>
+<tr class="separator:a07adca97c58afc057a5cff738f6473cc"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a53f748fbc6f8a129deb6a048d423d644"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="qr__givens_8c.html#a53f748fbc6f8a129deb6a048d423d644">qr_givens_get_params</a> (<a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> xjj, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> xij, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> c_s_t_r_vec[])</td></tr>
+<tr class="memdesc:a53f748fbc6f8a129deb6a048d423d644"><td class="mdescLeft"> </td><td class="mdescRight">Compute the Givens parameters. <a href="qr__givens_8c.html#a53f748fbc6f8a129deb6a048d423d644">More...</a><br /></td></tr>
+<tr class="separator:a53f748fbc6f8a129deb6a048d423d644"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Givens algorithm for the QR-decomposition. Provide necessary methods to construct Q- and R- matrices using Givens rotations. A = QR, where Q is an (m <img class="formulaInl" alt="$\times $" src="form_36.png"/> n)-matrix with orthonormal columns and R is an (n <img class="formulaInl" alt="$\times$" src="form_35.png"/> n) upper triangular matrix. </p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="qr__givens_8c_source.html">qr_givens.c</a>.</p>
+</div><h2 class="groupheader">Function Documentation</h2>
+<a id="a07adca97c58afc057a5cff738f6473cc"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a07adca97c58afc057a5cff738f6473cc">◆ </a></span>qr_givens_decomp()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">int8_t qr_givens_decomp </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>A</em>[][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>q_col_num</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>Q</em>[][q_col_num], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">bool </td>
+ <td class="paramname"><em>reduced</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Computes the QR decomposition of the matrix A by using the Givens algorithm. </p>
+<p>Gets a QR decomposition of an m-by-n matrix A such that A = Q*R. The compact as well as the full decomposition of the matrix can be computed.</p>
+<dl class="section note"><dt>Note</dt><dd>R is stored in the matrix A.</dd></dl>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">A[][]</td><td>pointer to the matrices A and R. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">q_col_num</td><td>column number of the matrix Q. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">Q[][]</td><td>pointer to the Q matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">reduced</td><td>computes the compact form of the QR decomposition if true, otherwise the full version.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>1, if computing the QR decomposition is successful. </dd>
+<dd>
+-1, if computing the QR decomposition is not successful. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="qr__givens_8c_source.html#l00033">33</a> of file <a class="el" href="qr__givens_8c_source.html">qr_givens.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8c_source.html#l00046">matrix_clear()</a>, <a class="el" href="matrix_8c_source.html#l00841">matrix_get_upp_triang()</a>, <a class="el" href="matrix_8c_source.html#l00089">matrix_part_copy()</a>, <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>, and <a class="el" href="qr__givens_8c_source.html#l00110">qr_givens_get_params()</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="givens__test_8c_source.html#l00028">givens_test()</a>, and <a class="el" href="solve_8c_source.html#l00102">solve_givens()</a>.</p>
+
+</div>
+</div>
+<a id="a53f748fbc6f8a129deb6a048d423d644"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a53f748fbc6f8a129deb6a048d423d644">◆ </a></span>qr_givens_get_params()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void qr_givens_get_params </td>
+ <td>(</td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>xjj</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>xij</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>c_s_t_r_vec</em>[] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute the Givens parameters. </p>
+<p>The computation of the parameters c, s, t, and r can have problems with overflow or underflow, therefore this algorithm employs a normalization procedure. The Givens parameters c, s, t and r are saved in a vector.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">xjj</td><td>value at the diagonal j of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">xij</td><td>value at the index j of a column vector i. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">c_s_t_r_vec[]</td><td>pointer to the vector holding the c, s, t and r parameters. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="qr__givens_8c_source.html#l00110">110</a> of file <a class="el" href="qr__givens_8c_source.html">qr_givens.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="givens__test_8c_source.html#l00028">givens_test()</a>, and <a class="el" href="qr__givens_8c_source.html#l00033">qr_givens_decomp()</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="navelem"><a class="el" href="dir_8c4128baa09a573ad2b8b8c0061a04c9.html">linear_algebra</a></li><li class="navelem"><a class="el" href="dir_997ac76a3d72a25dec85442c5f6c585d.html">matrix_decompositions</a></li><li class="navelem"><a class="el" href="qr__givens_8c.html">qr_givens.c</a></li>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
+ </ul>
+</div>
+</body>
+</html>
diff --git a/doc/doxygen/html/qr__givens_8c.js b/doc/doxygen/html/qr__givens_8c.js
new file mode 100644
index 0000000000000000000000000000000000000000..c50cf0e506f6fa15ed55c42a1bfcd129d0ab8b61
--- /dev/null
+++ b/doc/doxygen/html/qr__givens_8c.js
@@ -0,0 +1,5 @@
+var qr__givens_8c =
+[
+ [ "qr_givens_decomp", "qr__givens_8c.html#a07adca97c58afc057a5cff738f6473cc", null ],
+ [ "qr_givens_get_params", "qr__givens_8c.html#a53f748fbc6f8a129deb6a048d423d644", null ]
+];
\ No newline at end of file
diff --git a/doc/doxygen/html/qr__givens_8c_source.html b/doc/doxygen/html/qr__givens_8c_source.html
new file mode 100644
index 0000000000000000000000000000000000000000..8b36cfe8a7f60e825031e0c572bb596ae6c3382e
--- /dev/null
+++ b/doc/doxygen/html/qr__givens_8c_source.html
@@ -0,0 +1,225 @@
+<!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">
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+<meta name="generator" content="Doxygen 1.8.16"/>
+<meta name="viewport" content="width=device-width, initial-scale=1"/>
+<title>RcdMathLib_doc: qr_givens.c Source File</title>
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+<div class="title">qr_givens.c</div> </div>
+</div><!--header-->
+<div class="contents">
+<a href="qr__givens_8c.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#include <stdio.h></span></div>
+<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="preprocessor">#include <math.h></span></div>
+<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="preprocessor">#include <float.h></span></div>
+<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>  </div>
+<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="preprocessor">#include "<a class="code" href="matrix_8h.html">matrix.h</a>"</span></div>
+<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="preprocessor">#include "<a class="code" href="qr__givens_8h.html">qr_givens.h</a>"</span></div>
+<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  </div>
+<div class="line"><a name="l00032"></a><span class="lineno"> 32</span> <span class="comment">/*R will be stored in A */</span></div>
+<div class="line"><a name="l00033"></a><span class="lineno"><a class="line" href="qr__givens_8c.html#a07adca97c58afc057a5cff738f6473cc"> 33</a></span> int8_t <a class="code" href="qr__givens_8c.html#a07adca97c58afc057a5cff738f6473cc">qr_givens_decomp</a>(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[][n],</div>
+<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  uint8_t q_col_num,</div>
+<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> Q[][q_col_num], <span class="keywordtype">bool</span> reduced)</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="keywordflow">if</span> (m < n) {</div>
+<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  puts(<span class="stringliteral">"A has more columns than rows"</span>);</div>
+<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>  <span class="keywordflow">return</span> -1;</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>  </div>
+<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  <span class="keywordflow">for</span> (uint8_t j = 0; j < n; j++) {</div>
+<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  <span class="keywordflow">for</span> (uint8_t i = j + 1; i < m; i++) {</div>
+<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> c_s_t_r_vec[4];</div>
+<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  <a class="code" href="qr__givens_8c.html#a53f748fbc6f8a129deb6a048d423d644">qr_givens_get_params</a>(A[j][j], A[i][j], c_s_t_r_vec);</div>
+<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  A[i][j] = c_s_t_r_vec[2]; <span class="comment">//A[i][j] = t</span></div>
+<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  A[j][j] = c_s_t_r_vec[3]; <span class="comment">//A[j][j] = r</span></div>
+<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  <span class="keywordflow">if</span> (j < n) {</div>
+<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  <span class="keywordflow">for</span> (uint8_t k = j + 1; k < n; k++) {</div>
+<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> c, s;</div>
+<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  c = c_s_t_r_vec[0];</div>
+<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  s = c_s_t_r_vec[1];</div>
+<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> tmp = A[j][k];</div>
+<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  A[j][k] = c * A[j][k] + s * A[i][k];</div>
+<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  A[i][k] = -s * tmp + c * A[i][k];</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>  }</div>
+<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  </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>  uint8_t max_m;</div>
+<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  <span class="keywordflow">if</span> (reduced) {</div>
+<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  max_m = n;</div>
+<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  }</div>
+<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  <span class="keywordflow">else</span> {</div>
+<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  max_m = m;</div>
+<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  }</div>
+<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  </div>
+<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  <span class="keywordflow">if</span> (!reduced) {</div>
+<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  <a class="code" href="matrix_8h.html#a0e06b2cfb86340e88be7b1219bef0ce3">matrix_clear</a>(m, max_m, Q);</div>
+<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  }</div>
+<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  </div>
+<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  <a class="code" href="matrix_8h.html#a56513a88eff05b0683320c532fadf945">matrix_part_copy</a>(m, n, A, 0, m - 1, 0, n - 1, m, max_m, Q);</div>
+<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  </div>
+<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  <span class="comment">// Build R</span></div>
+<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  <a class="code" href="matrix_8h.html#abbaf8f39b2b7bb4bd2987f99674c1213">matrix_get_upp_triang</a>(m, n, A, A);</div>
+<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  </div>
+<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  <span class="comment">// Build Q</span></div>
+<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  <span class="keywordflow">for</span> (int16_t j = max_m - 1; j >= 0; j--) {</div>
+<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  <span class="comment">// Zero out column j from row 0 up to row j</span></div>
+<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  <span class="keywordflow">for</span> (uint8_t k = 0; k <= j; k++) {</div>
+<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  Q[k][j] = 0;</div>
+<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  }</div>
+<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  Q[j][j] = 1;</div>
+<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  </div>
+<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  <span class="keywordflow">for</span> (int16_t i = m - 1; i >= j + 1; i--) {</div>
+<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> t = Q[i][j];</div>
+<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  Q[i][j] = 0;</div>
+<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> c = 1 / sqrt(1 + t * t);</div>
+<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> s;</div>
+<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  <span class="keywordflow">if</span> (c != 0) {</div>
+<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  s = c * t;</div>
+<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  }</div>
+<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  <span class="keywordflow">else</span> {</div>
+<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  s = 1;</div>
+<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  }</div>
+<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  </div>
+<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  <span class="keywordflow">for</span> (uint8_t k = j; k < max_m; k++) {</div>
+<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> tmp = Q[j][k];</div>
+<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  Q[j][k] = c * Q[j][k] - s * Q[i][k];</div>
+<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  Q[i][k] = s * tmp + c * Q[i][k];</div>
+<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  }</div>
+<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  } <span class="comment">//for</span></div>
+<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  }</div>
+<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  </div>
+<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  <span class="keywordflow">return</span> 1;</div>
+<div class="line"><a name="l00108"></a><span class="lineno"> 108</span> }</div>
+<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  </div>
+<div class="line"><a name="l00110"></a><span class="lineno"><a class="line" href="qr__givens_8c.html#a53f748fbc6f8a129deb6a048d423d644"> 110</a></span> <span class="keywordtype">void</span> <a class="code" href="qr__givens_8c.html#a53f748fbc6f8a129deb6a048d423d644">qr_givens_get_params</a>(<a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> xjj, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> xij, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> c_s_t_r_vec[])</div>
+<div class="line"><a name="l00111"></a><span class="lineno"> 111</span> {</div>
+<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  <span class="keywordflow">if</span> (xjj != 0) {</div>
+<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> u;</div>
+<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  </div>
+<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  c_s_t_r_vec[2] = xij / xjj; <span class="comment">//t = xij/xjj</span></div>
+<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  u = sqrt(1 + c_s_t_r_vec[2] * c_s_t_r_vec[2]); <span class="comment">//u = sqrt(1 + t*t)</span></div>
+<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  c_s_t_r_vec[0] = 1 / u; <span class="comment">//c = 1/u</span></div>
+<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  c_s_t_r_vec[1] = c_s_t_r_vec[0] * c_s_t_r_vec[2]; <span class="comment">//s = c*t</span></div>
+<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  c_s_t_r_vec[3] = u * xjj; <span class="comment">//r = u*xjj</span></div>
+<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  }</div>
+<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  <span class="keywordflow">else</span> {</div>
+<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  c_s_t_r_vec[0] = 0; <span class="comment">//c = 0</span></div>
+<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  c_s_t_r_vec[1] = 1; <span class="comment">//s = 1</span></div>
+<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  c_s_t_r_vec[2] = FLT_MAX; <span class="comment">//t = infinity</span></div>
+<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  c_s_t_r_vec[3] = xij; <span class="comment">//r = xij</span></div>
+<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  }</div>
+<div class="line"><a name="l00127"></a><span class="lineno"> 127</span> }</div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="amatrix_8h_html_a0e06b2cfb86340e88be7b1219bef0ce3"><div class="ttname"><a href="matrix_8h.html#a0e06b2cfb86340e88be7b1219bef0ce3">matrix_clear</a></div><div class="ttdeci">void matrix_clear(uint8_t m, uint8_t n, matrix_t matrix[m][n])</div><div class="ttdoc">Clear all the elements of the vector.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00046">matrix.c:46</a></div></div>
+<div class="ttc" id="aqr__givens_8c_html_a53f748fbc6f8a129deb6a048d423d644"><div class="ttname"><a href="qr__givens_8c.html#a53f748fbc6f8a129deb6a048d423d644">qr_givens_get_params</a></div><div class="ttdeci">void qr_givens_get_params(matrix_t xjj, matrix_t xij, matrix_t c_s_t_r_vec[])</div><div class="ttdoc">Compute the Givens parameters.</div><div class="ttdef"><b>Definition:</b> <a href="qr__givens_8c_source.html#l00110">qr_givens.c:110</a></div></div>
+<div class="ttc" id="amatrix_8h_html_abbaf8f39b2b7bb4bd2987f99674c1213"><div class="ttname"><a href="matrix_8h.html#abbaf8f39b2b7bb4bd2987f99674c1213">matrix_get_upp_triang</a></div><div class="ttdeci">void matrix_get_upp_triang(uint8_t m, uint8_t n, matrix_t A[][n], matrix_t tr_up_A[][n])</div><div class="ttdoc">Gets the upper triangular part of a matrix.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00841">matrix.c:841</a></div></div>
+<div class="ttc" id="amatrix_8h_html"><div class="ttname"><a href="matrix_8h.html">matrix.h</a></div><div class="ttdoc">Matrix computations.</div></div>
+<div class="ttc" id="aqr__givens_8c_html_a07adca97c58afc057a5cff738f6473cc"><div class="ttname"><a href="qr__givens_8c.html#a07adca97c58afc057a5cff738f6473cc">qr_givens_decomp</a></div><div class="ttdeci">int8_t qr_givens_decomp(uint8_t m, uint8_t n, matrix_t A[][n], uint8_t q_col_num, matrix_t Q[][q_col_num], bool reduced)</div><div class="ttdoc">Computes the QR decomposition of the matrix A by using the Givens algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="qr__givens_8c_source.html#l00033">qr_givens.c:33</a></div></div>
+<div class="ttc" id="amatrix_8h_html_af38ac6b76d645fea9abd6caeb4d9dd31"><div class="ttname"><a href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a></div><div class="ttdeci">#define matrix_t</div><div class="ttdoc">Define the data type of the matrix elements.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8h_source.html#l00038">matrix.h:38</a></div></div>
+<div class="ttc" id="amatrix_8h_html_a56513a88eff05b0683320c532fadf945"><div class="ttname"><a href="matrix_8h.html#a56513a88eff05b0683320c532fadf945">matrix_part_copy</a></div><div class="ttdeci">void matrix_part_copy(uint8_t m, uint8_t n, matrix_t src_matrix[m][n], uint8_t start_row_ind, uint8_t end_row_ind, uint8_t start_col_ind, uint8_t end_col_ind, uint8_t dest_row_num, uint8_t dest_col_num, matrix_t dest_matrix[][dest_col_num])</div><div class="ttdoc">Copy a part of a matrix to another matrix or sub-matrix.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00089">matrix.c:89</a></div></div>
+<div class="ttc" id="aqr__givens_8h_html"><div class="ttname"><a href="qr__givens_8h.html">qr_givens.h</a></div><div class="ttdoc">Givens algorithm for the QR-decomposition. Provide necessary methods to construct Q- and R- matrices ...</div></div>
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+<a href="#func-members">Functions</a> </div>
+ <div class="headertitle">
+<div class="title">qr_givens.h File Reference<div class="ingroups"><a class="el" href="group__linear__algebra.html">LINEAR_ALGEBRA</a> » <a class="el" href="group__matrix__decompositions.html">MATRIX_DECOMPOSITIONS</a></div></div> </div>
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+
+<p>Givens algorithm for the QR-decomposition. Provide necessary methods to construct Q- and R- matrices using Givens rotations. A = QR, where Q is an (m <img class="formulaInl" alt="$\times$" src="form_35.png"/> n)-matrix with orthonormal columns and R is an (n <img class="formulaInl" alt="$\times$" src="form_35.png"/> n) upper triangular matrix.
+<a href="#details">More...</a></p>
+<div class="textblock"><code>#include <inttypes.h></code><br />
+<code>#include "<a class="el" href="matrix_8h_source.html">matrix.h</a>"</code><br />
+</div>
+<p><a href="qr__givens_8h_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a07adca97c58afc057a5cff738f6473cc"><td class="memItemLeft" align="right" valign="top">int8_t </td><td class="memItemRight" valign="bottom"><a class="el" href="qr__givens_8h.html#a07adca97c58afc057a5cff738f6473cc">qr_givens_decomp</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[][n], uint8_t q_col_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> Q[][q_col_num], bool reduced)</td></tr>
+<tr class="memdesc:a07adca97c58afc057a5cff738f6473cc"><td class="mdescLeft"> </td><td class="mdescRight">Computes the QR decomposition of the matrix A by using the Givens algorithm. <a href="qr__givens_8h.html#a07adca97c58afc057a5cff738f6473cc">More...</a><br /></td></tr>
+<tr class="separator:a07adca97c58afc057a5cff738f6473cc"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a53f748fbc6f8a129deb6a048d423d644"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="qr__givens_8h.html#a53f748fbc6f8a129deb6a048d423d644">qr_givens_get_params</a> (<a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> xjj, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> xij, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> c_s_t_r_vec[])</td></tr>
+<tr class="memdesc:a53f748fbc6f8a129deb6a048d423d644"><td class="mdescLeft"> </td><td class="mdescRight">Compute the Givens parameters. <a href="qr__givens_8h.html#a53f748fbc6f8a129deb6a048d423d644">More...</a><br /></td></tr>
+<tr class="separator:a53f748fbc6f8a129deb6a048d423d644"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Givens algorithm for the QR-decomposition. Provide necessary methods to construct Q- and R- matrices using Givens rotations. A = QR, where Q is an (m <img class="formulaInl" alt="$\times$" src="form_35.png"/> n)-matrix with orthonormal columns and R is an (n <img class="formulaInl" alt="$\times$" src="form_35.png"/> n) upper triangular matrix. </p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="qr__givens_8h_source.html">qr_givens.h</a>.</p>
+</div><h2 class="groupheader">Function Documentation</h2>
+<a id="a07adca97c58afc057a5cff738f6473cc"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a07adca97c58afc057a5cff738f6473cc">◆ </a></span>qr_givens_decomp()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">int8_t qr_givens_decomp </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>A</em>[][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>q_col_num</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>Q</em>[][q_col_num], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">bool </td>
+ <td class="paramname"><em>reduced</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Computes the QR decomposition of the matrix A by using the Givens algorithm. </p>
+<p>Gets a QR decomposition of an m-by-n matrix A such that A = Q*R. The compact as well as the full decomposition of the matrix can be computed.</p>
+<dl class="section note"><dt>Note</dt><dd>R is stored in the matrix A.</dd></dl>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix. </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">A[][]</td><td>pointer to the matrices A and R. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">q_col_num</td><td>column number of the matrix Q. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">Q[][]</td><td>pointer to the Q matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">reduced</td><td>computes the compact form of the QR decomposition if true, otherwise the full version.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>1, if computing the QR decomposition is successful. </dd>
+<dd>
+-1, if computing the QR decomposition is not successful. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="qr__givens_8c_source.html#l00033">33</a> of file <a class="el" href="qr__givens_8c_source.html">qr_givens.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8c_source.html#l00046">matrix_clear()</a>, <a class="el" href="matrix_8c_source.html#l00841">matrix_get_upp_triang()</a>, <a class="el" href="matrix_8c_source.html#l00089">matrix_part_copy()</a>, <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>, and <a class="el" href="qr__givens_8c_source.html#l00110">qr_givens_get_params()</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="givens__test_8c_source.html#l00028">givens_test()</a>, and <a class="el" href="solve_8c_source.html#l00102">solve_givens()</a>.</p>
+
+</div>
+</div>
+<a id="a53f748fbc6f8a129deb6a048d423d644"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a53f748fbc6f8a129deb6a048d423d644">◆ </a></span>qr_givens_get_params()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void qr_givens_get_params </td>
+ <td>(</td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>xjj</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>xij</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>c_s_t_r_vec</em>[] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute the Givens parameters. </p>
+<p>The computation of the parameters c, s, t, and r can have problems with overflow or underflow, therefore this algorithm employs a normalization procedure. The Givens parameters c, s, t and r are saved in a vector.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">xjj</td><td>value at the diagonal j of the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">xij</td><td>value at the index j of a column vector i. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">c_s_t_r_vec[]</td><td>pointer to the vector holding the c, s, t and r parameters. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="qr__givens_8c_source.html#l00110">110</a> of file <a class="el" href="qr__givens_8c_source.html">qr_givens.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="givens__test_8c_source.html#l00028">givens_test()</a>, and <a class="el" href="qr__givens_8c_source.html#l00033">qr_givens_decomp()</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="navelem"><a class="el" href="dir_8c4128baa09a573ad2b8b8c0061a04c9.html">linear_algebra</a></li><li class="navelem"><a class="el" href="dir_997ac76a3d72a25dec85442c5f6c585d.html">matrix_decompositions</a></li><li class="navelem"><a class="el" href="dir_f9311e7dae5ba7dbc6ad9f75e6d9537e.html">include</a></li><li class="navelem"><a class="el" href="qr__givens_8h.html">qr_givens.h</a></li>
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+</html>
diff --git a/doc/doxygen/html/qr__givens_8h.js b/doc/doxygen/html/qr__givens_8h.js
new file mode 100644
index 0000000000000000000000000000000000000000..97106f504754e9564af524eb9adb173afcee4871
--- /dev/null
+++ b/doc/doxygen/html/qr__givens_8h.js
@@ -0,0 +1,5 @@
+var qr__givens_8h =
+[
+ [ "qr_givens_decomp", "qr__givens_8h.html#a07adca97c58afc057a5cff738f6473cc", null ],
+ [ "qr_givens_get_params", "qr__givens_8h.html#a53f748fbc6f8a129deb6a048d423d644", null ]
+];
\ No newline at end of file
diff --git a/doc/doxygen/html/qr__givens_8h_source.html b/doc/doxygen/html/qr__givens_8h_source.html
new file mode 100644
index 0000000000000000000000000000000000000000..096c6a86fc009332fce440b2f4fc4cb20bd82d72
--- /dev/null
+++ b/doc/doxygen/html/qr__givens_8h_source.html
@@ -0,0 +1,132 @@
+<!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">
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+ </div>
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+<div class="title">qr_givens.h</div> </div>
+</div><!--header-->
+<div class="contents">
+<a href="qr__givens_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="preprocessor">#ifndef QR_GIVENS_H_</span></div>
+<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="preprocessor">#define QR_GIVENS_H_</span></div>
+<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>  </div>
+<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="preprocessor">#include <inttypes.h></span></div>
+<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>  </div>
+<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="preprocessor">#include "<a class="code" href="matrix_8h.html">matrix.h</a>"</span></div>
+<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>  </div>
+<div class="line"><a name="l00053"></a><span class="lineno"> 53</span> int8_t <a class="code" href="qr__givens_8h.html#a07adca97c58afc057a5cff738f6473cc">qr_givens_decomp</a>(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[][n],</div>
+<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  uint8_t q_col_num, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> Q[][q_col_num],</div>
+<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  <span class="keywordtype">bool</span> reduced);</div>
+<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  </div>
+<div class="line"><a name="l00069"></a><span class="lineno"> 69</span> <span class="keywordtype">void</span> <a class="code" href="qr__givens_8h.html#a53f748fbc6f8a129deb6a048d423d644">qr_givens_get_params</a>(<a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> xjj, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> xij, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> c_s_t_r_vec[]);</div>
+<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  </div>
+<div class="line"><a name="l00071"></a><span class="lineno"> 71</span> <span class="preprocessor">#endif </span><span class="comment">/* QR_GIVENS_H_ */</span><span class="preprocessor"></span></div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="amatrix_8h_html"><div class="ttname"><a href="matrix_8h.html">matrix.h</a></div><div class="ttdoc">Matrix computations.</div></div>
+<div class="ttc" id="aqr__givens_8h_html_a07adca97c58afc057a5cff738f6473cc"><div class="ttname"><a href="qr__givens_8h.html#a07adca97c58afc057a5cff738f6473cc">qr_givens_decomp</a></div><div class="ttdeci">int8_t qr_givens_decomp(uint8_t m, uint8_t n, matrix_t A[][n], uint8_t q_col_num, matrix_t Q[][q_col_num], bool reduced)</div><div class="ttdoc">Computes the QR decomposition of the matrix A by using the Givens algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="qr__givens_8c_source.html#l00033">qr_givens.c:33</a></div></div>
+<div class="ttc" id="amatrix_8h_html_af38ac6b76d645fea9abd6caeb4d9dd31"><div class="ttname"><a href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a></div><div class="ttdeci">#define matrix_t</div><div class="ttdoc">Define the data type of the matrix elements.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8h_source.html#l00038">matrix.h:38</a></div></div>
+<div class="ttc" id="aqr__givens_8h_html_a53f748fbc6f8a129deb6a048d423d644"><div class="ttname"><a href="qr__givens_8h.html#a53f748fbc6f8a129deb6a048d423d644">qr_givens_get_params</a></div><div class="ttdeci">void qr_givens_get_params(matrix_t xjj, matrix_t xij, matrix_t c_s_t_r_vec[])</div><div class="ttdoc">Compute the Givens parameters.</div><div class="ttdef"><b>Definition:</b> <a href="qr__givens_8c_source.html#l00110">qr_givens.c:110</a></div></div>
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+<div class="header">
+ <div class="summary">
+<a href="#func-members">Functions</a> </div>
+ <div class="headertitle">
+<div class="title">qr_householder.c File Reference</div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Householder algorithm for the QR-decomposition.
+<a href="#details">More...</a></p>
+<div class="textblock"><code>#include <stdio.h></code><br />
+<code>#include <stdbool.h></code><br />
+<code>#include <math.h></code><br />
+<code>#include "<a class="el" href="matrix_8h_source.html">matrix.h</a>"</code><br />
+<code>#include "<a class="el" href="utils_8h_source.html">utils.h</a>"</code><br />
+</div>
+<p><a href="qr__householder_8c_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a926e8bce91b658f64837d5c93b0bc74f"><td class="memItemLeft" align="right" valign="top">int8_t </td><td class="memItemRight" valign="bottom"><a class="el" href="qr__householder_8c.html#a926e8bce91b658f64837d5c93b0bc74f">qr_householder_decomp</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[][n], uint8_t q_col_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> Q[][q_col_num], bool reduced)</td></tr>
+<tr class="memdesc:a926e8bce91b658f64837d5c93b0bc74f"><td class="mdescLeft"> </td><td class="mdescRight">Computes the QR decomposition of the matrix A by using the Householder algorithm. <a href="qr__householder_8c.html#a926e8bce91b658f64837d5c93b0bc74f">More...</a><br /></td></tr>
+<tr class="separator:a926e8bce91b658f64837d5c93b0bc74f"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Householder algorithm for the QR-decomposition. </p>
+<p>Provide necessary methods to construct Q- and R- matrices using Householder reflections. A = QR, where Q is an (m <img class="formulaInl" alt="$\times$" src="form_35.png"/> n)-matrix with orthonormal columns and R is an (n <img class="formulaInl" alt="$\times$" src="form_35.png"/> n) upper triangular matrix.</p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="qr__householder_8c_source.html">qr_householder.c</a>.</p>
+</div><h2 class="groupheader">Function Documentation</h2>
+<a id="a926e8bce91b658f64837d5c93b0bc74f"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a926e8bce91b658f64837d5c93b0bc74f">◆ </a></span>qr_householder_decomp()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">int8_t qr_householder_decomp </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>A</em>[][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>q_col_num</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>Q</em>[][q_col_num], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">bool </td>
+ <td class="paramname"><em>reduced</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Computes the QR decomposition of the matrix A by using the Householder algorithm. </p>
+<dl class="section note"><dt>Note</dt><dd>R is stored in the matrix A.</dd></dl>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the matrix to decompose in QR. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix to decompose in QR. </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">A[][]</td><td>pointer to the matrices A and R. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">q_col_num</td><td>column number of the matrix Q. </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">Q[][]</td><td>pointer to the matrix Q. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">reduced</td><td>computes the compact form of the QR decomposition if true, otherwise the full version.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>1, if computing the QR decomposition is successful. </dd>
+<dd>
+-1, if computing the QR decomposition is not successful. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="qr__householder_8c_source.html#l00033">33</a> of file <a class="el" href="qr__householder_8c_source.html">qr_householder.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>, and <a class="el" href="utils_8c_source.html#l00168">utils_get_save_square_root()</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="householder__test_8c_source.html#l00031">householder_test()</a>, and <a class="el" href="solve_8c_source.html#l00077">solve_householder()</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="navelem"><a class="el" href="dir_8c4128baa09a573ad2b8b8c0061a04c9.html">linear_algebra</a></li><li class="navelem"><a class="el" href="dir_997ac76a3d72a25dec85442c5f6c585d.html">matrix_decompositions</a></li><li class="navelem"><a class="el" href="qr__householder_8c.html">qr_householder.c</a></li>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
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diff --git a/doc/doxygen/html/qr__householder_8c.js b/doc/doxygen/html/qr__householder_8c.js
new file mode 100644
index 0000000000000000000000000000000000000000..60a5be88e9dd25c8723ac56c7eaced8d432a5b46
--- /dev/null
+++ b/doc/doxygen/html/qr__householder_8c.js
@@ -0,0 +1,4 @@
+var qr__householder_8c =
+[
+ [ "qr_householder_decomp", "qr__householder_8c.html#a926e8bce91b658f64837d5c93b0bc74f", null ]
+];
\ No newline at end of file
diff --git a/doc/doxygen/html/qr__householder_8c_source.html b/doc/doxygen/html/qr__householder_8c_source.html
new file mode 100644
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--- /dev/null
+++ b/doc/doxygen/html/qr__householder_8c_source.html
@@ -0,0 +1,220 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "https://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
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+<div class="title">qr_householder.c</div> </div>
+</div><!--header-->
+<div class="contents">
+<a href="qr__householder_8c.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#include <stdio.h></span></div>
+<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="preprocessor">#include <stdbool.h></span></div>
+<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="preprocessor">#include <math.h></span></div>
+<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>  </div>
+<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="preprocessor">#include "<a class="code" href="matrix_8h.html">matrix.h</a>"</span></div>
+<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="preprocessor">#include "<a class="code" href="utils_8h.html">utils.h</a>"</span></div>
+<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  </div>
+<div class="line"><a name="l00032"></a><span class="lineno"> 32</span> <span class="comment">/*R will be stored in A */</span></div>
+<div class="line"><a name="l00033"></a><span class="lineno"><a class="line" href="qr__householder_8c.html#a926e8bce91b658f64837d5c93b0bc74f"> 33</a></span> int8_t <a class="code" href="qr__householder_8c.html#a926e8bce91b658f64837d5c93b0bc74f">qr_householder_decomp</a>(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[][n],</div>
+<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  uint8_t q_col_num,</div>
+<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> Q[][q_col_num], <span class="keywordtype">bool</span> reduced)</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="keywordflow">if</span> (m < n) {</div>
+<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  puts(<span class="stringliteral">"A has more columns than rows"</span>);</div>
+<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>  <span class="keywordflow">return</span> -1;</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>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> diag_R_vec[n];</div>
+<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  </div>
+<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  <span class="keywordflow">for</span> (uint8_t k = 0; k < n; k++) {</div>
+<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  <span class="comment">//compute the two-norm of the k-th column of the matrix A</span></div>
+<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  <span class="keywordtype">double</span> norm_2 = 0.0;</div>
+<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  <span class="keywordflow">for</span> (uint8_t i = k; i < m; i++) {</div>
+<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  norm_2 = <a class="code" href="utils_8h.html#a8cda5a6c15e99e2b76abfb04316301d8">utils_get_save_square_root</a>(norm_2, A[i][k]);</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>  }</div>
+<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  </div>
+<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  <span class="keywordflow">if</span> (norm_2 != 0.0) {</div>
+<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  <span class="comment">// Form k-th Householder vector.</span></div>
+<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  <span class="keywordflow">if</span> (A[k][k] < 0) {</div>
+<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  norm_2 = -norm_2;</div>
+<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  }</div>
+<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = k; i < m; i++) {</div>
+<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  A[i][k] /= norm_2;</div>
+<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  }</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>  A[k][k] += 1.0;</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="comment">// Apply the Householder transformation to the rest columns of the matrix.</span></div>
+<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  <span class="keywordflow">for</span> (uint8_t j = k + 1; j < n; j++) {</div>
+<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  <span class="keywordtype">double</span> sigma = 0.0;</div>
+<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  <span class="keywordflow">for</span> (uint8_t i = k; i < m; i++) {</div>
+<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  sigma += A[i][k] * A[i][j];</div>
+<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  }</div>
+<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  sigma = -sigma / A[k][k];</div>
+<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  <span class="keywordflow">for</span> (uint8_t i = k; i < m; i++) {</div>
+<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  A[i][j] += sigma * A[i][k];</div>
+<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  }</div>
+<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  }</div>
+<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  </div>
+<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  } <span class="comment">// if</span></div>
+<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  </div>
+<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  diag_R_vec[k] = -norm_2;</div>
+<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  </div>
+<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  } <span class="comment">//for</span></div>
+<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  </div>
+<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  <span class="comment">// Build Q</span></div>
+<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  uint8_t max_n, max_m;</div>
+<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  <span class="keywordflow">if</span> (!reduced) {</div>
+<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  max_n = m;</div>
+<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  max_m = m;</div>
+<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  }</div>
+<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  <span class="keywordflow">else</span> {</div>
+<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  max_n = n;</div>
+<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  max_m = n;</div>
+<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  }</div>
+<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  </div>
+<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> k = max_n - 1; k >= 0; k--) {</div>
+<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < m; i++) {</div>
+<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  Q[i][k] = 0.0;</div>
+<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  } <span class="comment">// clear matrix Q</span></div>
+<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  Q[k][k] = 1.0;</div>
+<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = k; j < max_n; j++) {</div>
+<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  <span class="keywordflow">if</span> (k < n) {</div>
+<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  <span class="keywordflow">if</span> (A[k][k] != 0) {</div>
+<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  <span class="keywordtype">double</span> s = 0.0;</div>
+<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = k; i < m; i++) {</div>
+<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  s += A[i][k] * Q[i][j];</div>
+<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  }</div>
+<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  s = -s / A[k][k];</div>
+<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = k; i < m; i++) {</div>
+<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  Q[i][j] += s * A[i][k];</div>
+<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  }</div>
+<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  } <span class="comment">//if</span></div>
+<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  } <span class="comment">//if</span></div>
+<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  }</div>
+<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  }</div>
+<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  </div>
+<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  <span class="comment">// Build R</span></div>
+<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < max_m; i++) {</div>
+<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j < n; j++) {</div>
+<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  <span class="keywordflow">if</span> (i == j) {</div>
+<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  A[i][j] = diag_R_vec[i];</div>
+<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  }</div>
+<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  <span class="keywordflow">else</span> <span class="keywordflow">if</span> (i > j) {</div>
+<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  A[i][j] = 0;</div>
+<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  }</div>
+<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  }</div>
+<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  }</div>
+<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  </div>
+<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  <span class="keywordflow">return</span> 1;</div>
+<div class="line"><a name="l00125"></a><span class="lineno"> 125</span> }</div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="amatrix_8h_html"><div class="ttname"><a href="matrix_8h.html">matrix.h</a></div><div class="ttdoc">Matrix computations.</div></div>
+<div class="ttc" id="autils_8h_html"><div class="ttname"><a href="utils_8h.html">utils.h</a></div><div class="ttdoc">Utilities for linear algebra.</div></div>
+<div class="ttc" id="aqr__householder_8c_html_a926e8bce91b658f64837d5c93b0bc74f"><div class="ttname"><a href="qr__householder_8c.html#a926e8bce91b658f64837d5c93b0bc74f">qr_householder_decomp</a></div><div class="ttdeci">int8_t qr_householder_decomp(uint8_t m, uint8_t n, matrix_t A[][n], uint8_t q_col_num, matrix_t Q[][q_col_num], bool reduced)</div><div class="ttdoc">Computes the QR decomposition of the matrix A by using the Householder algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="qr__householder_8c_source.html#l00033">qr_householder.c:33</a></div></div>
+<div class="ttc" id="amatrix_8h_html_af38ac6b76d645fea9abd6caeb4d9dd31"><div class="ttname"><a href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a></div><div class="ttdeci">#define matrix_t</div><div class="ttdoc">Define the data type of the matrix elements.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8h_source.html#l00038">matrix.h:38</a></div></div>
+<div class="ttc" id="autils_8h_html_a8cda5a6c15e99e2b76abfb04316301d8"><div class="ttname"><a href="utils_8h.html#a8cda5a6c15e99e2b76abfb04316301d8">utils_get_save_square_root</a></div><div class="ttdeci">double utils_get_save_square_root(double x, double y)</div><div class="ttdoc">Compute the square root without under/overflow.</div><div class="ttdef"><b>Definition:</b> <a href="utils_8c_source.html#l00168">utils.c:168</a></div></div>
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+<div class="title">qr_householder.h File Reference<div class="ingroups"><a class="el" href="group__linear__algebra.html">LINEAR_ALGEBRA</a> » <a class="el" href="group__matrix__decompositions.html">MATRIX_DECOMPOSITIONS</a></div></div> </div>
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+
+<p>Householder algorithm for the QR-decomposition.
+<a href="#details">More...</a></p>
+<div class="textblock"><code>#include <inttypes.h></code><br />
+<code>#include "<a class="el" href="matrix_8h_source.html">matrix.h</a>"</code><br />
+</div>
+<p><a href="qr__householder_8h_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a926e8bce91b658f64837d5c93b0bc74f"><td class="memItemLeft" align="right" valign="top">int8_t </td><td class="memItemRight" valign="bottom"><a class="el" href="qr__householder_8h.html#a926e8bce91b658f64837d5c93b0bc74f">qr_householder_decomp</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[][n], uint8_t q_col_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> Q[][q_col_num], bool reduced)</td></tr>
+<tr class="memdesc:a926e8bce91b658f64837d5c93b0bc74f"><td class="mdescLeft"> </td><td class="mdescRight">Computes the QR decomposition of the matrix A by using the Householder algorithm. <a href="qr__householder_8h.html#a926e8bce91b658f64837d5c93b0bc74f">More...</a><br /></td></tr>
+<tr class="separator:a926e8bce91b658f64837d5c93b0bc74f"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Householder algorithm for the QR-decomposition. </p>
+<p>Provide necessary methods to construct Q- and R- matrices using Householder reflections. A = QR, where Q is an (m <img class="formulaInl" alt="$\times$" src="form_35.png"/> n)-matrix with orthonormal columns and R is an (n <img class="formulaInl" alt="$\times$" src="form_35.png"/> n) upper triangular matrix.</p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="qr__householder_8h_source.html">qr_householder.h</a>.</p>
+</div><h2 class="groupheader">Function Documentation</h2>
+<a id="a926e8bce91b658f64837d5c93b0bc74f"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a926e8bce91b658f64837d5c93b0bc74f">◆ </a></span>qr_householder_decomp()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">int8_t qr_householder_decomp </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>A</em>[][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>q_col_num</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>Q</em>[][q_col_num], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">bool </td>
+ <td class="paramname"><em>reduced</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Computes the QR decomposition of the matrix A by using the Householder algorithm. </p>
+<dl class="section note"><dt>Note</dt><dd>R is stored in the matrix A.</dd></dl>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the matrix to decompose in QR. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix to decompose in QR. </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">A[][]</td><td>pointer to the matrices A and R. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">q_col_num</td><td>column number of the matrix Q. </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">Q[][]</td><td>pointer to the matrix Q. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">reduced</td><td>computes the compact form of the QR decomposition if true, otherwise the full version.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>1, if computing the QR decomposition is successful. </dd>
+<dd>
+-1, if computing the QR decomposition is not successful. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="qr__householder_8c_source.html#l00033">33</a> of file <a class="el" href="qr__householder_8c_source.html">qr_householder.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>, and <a class="el" href="utils_8c_source.html#l00168">utils_get_save_square_root()</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="householder__test_8c_source.html#l00031">householder_test()</a>, and <a class="el" href="solve_8c_source.html#l00077">solve_householder()</a>.</p>
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+[
+ [ "qr_householder_decomp", "qr__householder_8h.html#a926e8bce91b658f64837d5c93b0bc74f", null ]
+];
\ No newline at end of file
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+ onmouseover="return searchBox.OnSearchSelectShow()"
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+<div class="title">qr_householder.h</div> </div>
+</div><!--header-->
+<div class="contents">
+<a href="qr__householder_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#ifndef QR_HOUSEHOLDER_H_</span></div>
+<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="preprocessor">#define QR_HOUSEHOLDER_H_</span></div>
+<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>  </div>
+<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="preprocessor">#include <inttypes.h></span></div>
+<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>  </div>
+<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="preprocessor">#include "<a class="code" href="matrix_8h.html">matrix.h</a>"</span></div>
+<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  </div>
+<div class="line"><a name="l00049"></a><span class="lineno"> 49</span> int8_t <a class="code" href="qr__householder_8h.html#a926e8bce91b658f64837d5c93b0bc74f">qr_householder_decomp</a>(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[][n],</div>
+<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  uint8_t q_col_num, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> Q[][q_col_num],</div>
+<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  <span class="keywordtype">bool</span> reduced);</div>
+<div class="line"><a name="l00052"></a><span class="lineno"> 52</span> <span class="preprocessor">#endif </span><span class="comment">/* QR_HOUSEHOLDER_H_ */</span><span class="preprocessor"></span></div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="aqr__householder_8h_html_a926e8bce91b658f64837d5c93b0bc74f"><div class="ttname"><a href="qr__householder_8h.html#a926e8bce91b658f64837d5c93b0bc74f">qr_householder_decomp</a></div><div class="ttdeci">int8_t qr_householder_decomp(uint8_t m, uint8_t n, matrix_t A[][n], uint8_t q_col_num, matrix_t Q[][q_col_num], bool reduced)</div><div class="ttdoc">Computes the QR decomposition of the matrix A by using the Householder algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="qr__householder_8c_source.html#l00033">qr_householder.c:33</a></div></div>
+<div class="ttc" id="amatrix_8h_html"><div class="ttname"><a href="matrix_8h.html">matrix.h</a></div><div class="ttdoc">Matrix computations.</div></div>
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+ <div class="summary">
+<a href="#func-members">Functions</a> </div>
+ <div class="headertitle">
+<div class="title">qr_pinv_test.c File Reference</div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Examples of the QR-based pseudo-inverse algorithm.
+<a href="#details">More...</a></p>
+<div class="textblock"><code>#include <<a class="el" href="qr__pseudo__inverse_8h_source.html">qr_pseudo_inverse.h</a>></code><br />
+<code>#include <stdio.h></code><br />
+<code>#include "<a class="el" href="matrix_8h_source.html">matrix.h</a>"</code><br />
+<code>#include "<a class="el" href="qr__common_8h_source.html">qr_common.h</a>"</code><br />
+</div>
+<p><a href="qr__pinv__test_8c_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a292d2351f35310e579dd0741ab4857db"><td class="memItemLeft" align="right" valign="top"><a id="a292d2351f35310e579dd0741ab4857db"></a>
+void </td><td class="memItemRight" valign="bottom"><a class="el" href="qr__pinv__test_8c.html#a292d2351f35310e579dd0741ab4857db">qr_pinv_test</a> (void)</td></tr>
+<tr class="memdesc:a292d2351f35310e579dd0741ab4857db"><td class="mdescLeft"> </td><td class="mdescRight">Examples of the QR-based pseudo-inverse algorithm. <br /></td></tr>
+<tr class="separator:a292d2351f35310e579dd0741ab4857db"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Examples of the QR-based pseudo-inverse algorithm. </p>
+<p>QR-based pseudo-inverse algorithm examples (see the <a class="el" href="qr__pseudo__inverse_8h.html">QR Pseudo-Inverse</a> approach).</p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="qr__pinv__test_8c_source.html">qr_pinv_test.c</a>.</p>
+</div></div><!-- contents -->
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+var qr__pinv__test_8c =
+[
+ [ "qr_pinv_test", "qr__pinv__test_8c.html#a292d2351f35310e579dd0741ab4857db", null ]
+];
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+<div class="title">qr_pinv_test.c</div> </div>
+</div><!--header-->
+<div class="contents">
+<a href="qr__pinv__test_8c.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="preprocessor">#include <<a class="code" href="qr__pseudo__inverse_8h.html">qr_pseudo_inverse.h</a>></span></div>
+<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#include <stdio.h></span></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="preprocessor">#include "<a class="code" href="matrix_8h.html">matrix.h</a>"</span></div>
+<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="preprocessor">#include "<a class="code" href="qr__common_8h.html">qr_common.h</a>"</span></div>
+<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>  </div>
+<div class="line"><a name="l00030"></a><span class="lineno"><a class="line" href="qr__pinv__test_8c.html#a292d2351f35310e579dd0741ab4857db"> 30</a></span> <span class="keywordtype">void</span> <a class="code" href="qr__pinv__test_8c.html#a292d2351f35310e579dd0741ab4857db">qr_pinv_test</a>(<span class="keywordtype">void</span>)</div>
+<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> {</div>
+<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>  puts(<span class="stringliteral">"\n\n++++++++++++++++++++++++++++++ QR Pseudo-Inverse ++++++++++++++++++++++++++++++\n"</span>);</div>
+<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>  puts(<span class="stringliteral">"************ Householder: MATRIX A ************"</span>);</div>
+<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[10][5] = {</div>
+<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  { 0.8147, 0.1576, 0.6557, 0.7060, 0.4387 },</div>
+<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  { 0.9058, 0.9706, 0.0357, 0.0318, 0.3816 },</div>
+<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  { 0.1270, 0.9572, 0.8491, 0.2769, 0.7655 },</div>
+<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  { 0.9134, 0.4854, 0.9340, 0.0462, 0.7952 },</div>
+<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>  { 0.6324, 0.8003, 0.6787, 0.0971, 0.1869 },</div>
+<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>  { 0.0975, 0.1419, 0.7577, 0.8235, 0.4898 },</div>
+<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  { 0.2785, 0.4218, 0.7431, 0.6948, 0.4456 },</div>
+<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  { 0.5469, 0.9157, 0.3922, 0.3171, 0.6463 },</div>
+<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  { 0.9575, 0.7922, 0.6555, 0.9502, 0.7094 },</div>
+<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  { 0.9649, 0.9595, 0.1712, 0.0344, 0.7547 }</div>
+<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  };</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>  uint8_t m, n;</div>
+<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  m = 10;</div>
+<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  n = 5;</div>
+<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> pinv_A[n][m];</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>  <a class="code" href="qr__pseudo__inverse_8h.html#a9fb1ebdfe21c5a66cd322f00bf886d8d">qr_get_pinv</a>(m, n, A, pinv_A, QR_Householder);</div>
+<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  </div>
+<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  printf(<span class="stringliteral">"pinv_A = "</span>);</div>
+<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  <a class="code" href="matrix_8h.html#a82f374a9b8b215f0ef53d35401eae524">matrix_flex_print</a>(n, m, pinv_A, 8, 4);</div>
+<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  </div>
+<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  puts(<span class="stringliteral">"************ Householder: MATRIX B ************"</span>);</div>
+<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> B[7][7] =</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>  { 0.8147, 0.5469, 0.8003, 0.0357, 0.6555, 0.8235, 0.7655 },</div>
+<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  { 0.9058, 0.9575, 0.1419, 0.8491, 0.1712, 0.6948, 0.7952 },</div>
+<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  { 0.1270, 0.9649, 0.4218, 0.9340, 0.7060, 0.3171, 0.1869 },</div>
+<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  { 0.9134, 0.1576, 0.9157, 0.6787, 0.0318, 0.9502, 0.4898 },</div>
+<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  { 0.6324, 0.9706, 0.7922, 0.7577, 0.2769, 0.0344, 0.4456 },</div>
+<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  { 0.0975, 0.9572, 0.9595, 0.7431, 0.0462, 0.4387, 0.6463 },</div>
+<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  { 0.2785, 0.4854, 0.6557, 0.3922, 0.0971, 0.3816, 0.7094 }</div>
+<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  };</div>
+<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  </div>
+<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  m = 7;</div>
+<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  n = 7;</div>
+<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> pinv_B[m][n];</div>
+<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  </div>
+<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  <a class="code" href="qr__pseudo__inverse_8h.html#a9fb1ebdfe21c5a66cd322f00bf886d8d">qr_get_pinv</a>(m, n, B, pinv_B, QR_Householder);</div>
+<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  </div>
+<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  printf(<span class="stringliteral">"pinv_B = "</span>);</div>
+<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  <a class="code" href="matrix_8h.html#a82f374a9b8b215f0ef53d35401eae524">matrix_flex_print</a>(n, m, pinv_B, 8, 4);</div>
+<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  </div>
+<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  puts(<span class="stringliteral">"************ Givens: MATRIX A ************"</span>);</div>
+<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  </div>
+<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  m = 10;</div>
+<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  n = 5;</div>
+<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  </div>
+<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  <a class="code" href="qr__pseudo__inverse_8h.html#a9fb1ebdfe21c5a66cd322f00bf886d8d">qr_get_pinv</a>(m, n, A, pinv_A, QR_Givens);</div>
+<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  </div>
+<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  printf(<span class="stringliteral">"pinv_A = "</span>);</div>
+<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  <a class="code" href="matrix_8h.html#a82f374a9b8b215f0ef53d35401eae524">matrix_flex_print</a>(n, m, pinv_A, 8, 4);</div>
+<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  </div>
+<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  puts(<span class="stringliteral">"************ Givens: MATRIX B ************"</span>);</div>
+<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  </div>
+<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  m = 7;</div>
+<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  n = 7;</div>
+<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  </div>
+<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  <a class="code" href="qr__pseudo__inverse_8h.html#a9fb1ebdfe21c5a66cd322f00bf886d8d">qr_get_pinv</a>(m, n, B, pinv_B, QR_Givens);</div>
+<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  </div>
+<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  printf(<span class="stringliteral">"pinv_B = "</span>);</div>
+<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  <a class="code" href="matrix_8h.html#a82f374a9b8b215f0ef53d35401eae524">matrix_flex_print</a>(n, m, pinv_B, 8, 4);</div>
+<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  </div>
+<div class="line"><a name="l00102"></a><span class="lineno"> 102</span> }</div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="aqr__pseudo__inverse_8h_html"><div class="ttname"><a href="qr__pseudo__inverse_8h.html">qr_pseudo_inverse.h</a></div><div class="ttdoc">QR decomposition algorithms to compute the pseudo-inverse of a matrix.</div></div>
+<div class="ttc" id="amatrix_8h_html"><div class="ttname"><a href="matrix_8h.html">matrix.h</a></div><div class="ttdoc">Matrix computations.</div></div>
+<div class="ttc" id="amatrix_8h_html_a82f374a9b8b215f0ef53d35401eae524"><div class="ttname"><a href="matrix_8h.html#a82f374a9b8b215f0ef53d35401eae524">matrix_flex_print</a></div><div class="ttdeci">void matrix_flex_print(uint8_t m, uint8_t n, matrix_t matrix[m][n], uint8_t before_dec, uint8_t after_dec)</div><div class="ttdoc">Display the values of the matrix elements.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00220">matrix.c:220</a></div></div>
+<div class="ttc" id="aqr__pseudo__inverse_8h_html_a9fb1ebdfe21c5a66cd322f00bf886d8d"><div class="ttname"><a href="qr__pseudo__inverse_8h.html#a9fb1ebdfe21c5a66cd322f00bf886d8d">qr_get_pinv</a></div><div class="ttdeci">int8_t qr_get_pinv(uint8_t m, uint8_t n, matrix_t A[m][n], matrix_t pinv_A[n][m], enum QR_ALGORITHM algo)</div><div class="ttdoc">Calculate the pseudo inverse of a rectangular matrix using the QR decomposition.</div><div class="ttdef"><b>Definition:</b> <a href="qr__pseudo__inverse_8c_source.html#l00032">qr_pseudo_inverse.c:32</a></div></div>
+<div class="ttc" id="aqr__common_8h_html"><div class="ttname"><a href="qr__common_8h.html">qr_common.h</a></div><div class="ttdoc">Common definitions and implementations for the QR-decomposition. Provide necessary methods to constru...</div></div>
+<div class="ttc" id="amatrix_8h_html_af38ac6b76d645fea9abd6caeb4d9dd31"><div class="ttname"><a href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a></div><div class="ttdeci">#define matrix_t</div><div class="ttdoc">Define the data type of the matrix elements.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8h_source.html#l00038">matrix.h:38</a></div></div>
+<div class="ttc" id="aqr__pinv__test_8c_html_a292d2351f35310e579dd0741ab4857db"><div class="ttname"><a href="qr__pinv__test_8c.html#a292d2351f35310e579dd0741ab4857db">qr_pinv_test</a></div><div class="ttdeci">void qr_pinv_test(void)</div><div class="ttdoc">Examples of the QR-based pseudo-inverse algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="qr__pinv__test_8c_source.html#l00030">qr_pinv_test.c:30</a></div></div>
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+ onmouseover="return searchBox.OnSearchSelectShow()"
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+ 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">qr_pinv_test.h File Reference<div class="ingroups"><a class="el" href="group__examples.html">EXAMPLES</a></div></div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Examples of the QR-based pseudo-inverse algorithm.
+<a href="#details">More...</a></p>
+
+<p><a href="qr__pinv__test_8h_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a292d2351f35310e579dd0741ab4857db"><td class="memItemLeft" align="right" valign="top"><a id="a292d2351f35310e579dd0741ab4857db"></a>
+void </td><td class="memItemRight" valign="bottom"><a class="el" href="qr__pinv__test_8h.html#a292d2351f35310e579dd0741ab4857db">qr_pinv_test</a> (void)</td></tr>
+<tr class="memdesc:a292d2351f35310e579dd0741ab4857db"><td class="mdescLeft"> </td><td class="mdescRight">Examples of the QR-based pseudo-inverse algorithm. <br /></td></tr>
+<tr class="separator:a292d2351f35310e579dd0741ab4857db"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Examples of the QR-based pseudo-inverse algorithm. </p>
+<p>QR-based pseudo-inverse algorithm examples (see the <a class="el" href="qr__pseudo__inverse_8h.html">QR Pseudo-Inverse</a> approach).</p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="qr__pinv__test_8h_source.html">qr_pinv_test.h</a>.</p>
+</div></div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="navelem"><a class="el" href="dir_d28a4824dc47e487b107a5db32ef43c4.html">examples</a></li><li class="navelem"><a class="el" href="dir_bb878afedbb83074fe4b7f6b65e06747.html">linear_algebra</a></li><li class="navelem"><a class="el" href="dir_1513adee4b8f281871e1ff2ded4af7fe.html">pseudo_inverse</a></li><li class="navelem"><a class="el" href="dir_d1e348b883576f9e259f3b5246ea82c0.html">include</a></li><li class="navelem"><a class="el" href="qr__pinv__test_8h.html">qr_pinv_test.h</a></li>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
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diff --git a/doc/doxygen/html/qr__pinv__test_8h.js b/doc/doxygen/html/qr__pinv__test_8h.js
new file mode 100644
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+var qr__pinv__test_8h =
+[
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+];
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+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "https://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
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+/* @license-end */
+</script>
+<div id="doc-content">
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+ onmouseover="return searchBox.OnSearchSelectShow()"
+ onmouseout="return searchBox.OnSearchSelectHide()"
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+<div class="title">qr_pinv_test.h</div> </div>
+</div><!--header-->
+<div class="contents">
+<a href="qr__pinv__test_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#ifndef QR_PINV_TEST_H_</span></div>
+<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="preprocessor">#define QR_PINV_TEST_H_</span></div>
+<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>  </div>
+<div class="line"><a name="l00032"></a><span class="lineno"> 32</span> <span class="keywordtype">void</span> <a class="code" href="qr__pinv__test_8h.html#a292d2351f35310e579dd0741ab4857db">qr_pinv_test</a>(<span class="keywordtype">void</span>);</div>
+<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>  </div>
+<div class="line"><a name="l00034"></a><span class="lineno"> 34</span> <span class="preprocessor">#endif </span><span class="comment">/* TESTS_QR_PINV_TEST_H_ */</span><span class="preprocessor"></span></div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="aqr__pinv__test_8h_html_a292d2351f35310e579dd0741ab4857db"><div class="ttname"><a href="qr__pinv__test_8h.html#a292d2351f35310e579dd0741ab4857db">qr_pinv_test</a></div><div class="ttdeci">void qr_pinv_test(void)</div><div class="ttdoc">Examples of the QR-based pseudo-inverse algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="qr__pinv__test_8c_source.html#l00030">qr_pinv_test.c:30</a></div></div>
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diff --git a/doc/doxygen/html/qr__pseudo__inverse_8c.html b/doc/doxygen/html/qr__pseudo__inverse_8c.html
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+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "https://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
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+/* @license-end */
+</script>
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+<div class="header">
+ <div class="summary">
+<a href="#func-members">Functions</a> </div>
+ <div class="headertitle">
+<div class="title">qr_pseudo_inverse.c File Reference</div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>QR decomposition algorithms to compute the pseudo-inverse of a matrix.
+<a href="#details">More...</a></p>
+<div class="textblock"><code>#include <stdio.h></code><br />
+<code>#include "<a class="el" href="matrix_8h_source.html">matrix.h</a>"</code><br />
+<code>#include "<a class="el" href="qr__common_8h_source.html">qr_common.h</a>"</code><br />
+<code>#include "<a class="el" href="qr__givens_8h_source.html">qr_givens.h</a>"</code><br />
+<code>#include "<a class="el" href="qr__householder_8h_source.html">qr_householder.h</a>"</code><br />
+<code>#include "<a class="el" href="pseudo__inverse_8h_source.html">pseudo_inverse.h</a>"</code><br />
+</div>
+<p><a href="qr__pseudo__inverse_8c_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a9fb1ebdfe21c5a66cd322f00bf886d8d"><td class="memItemLeft" align="right" valign="top">int8_t </td><td class="memItemRight" valign="bottom"><a class="el" href="qr__pseudo__inverse_8c.html#a9fb1ebdfe21c5a66cd322f00bf886d8d">qr_get_pinv</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[m][n], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> pinv_A[n][m], enum <a class="el" href="qr__common_8h.html#ac62c54358ecc0c35cdef1c3fb37cc73b">QR_ALGORITHM</a> algo)</td></tr>
+<tr class="memdesc:a9fb1ebdfe21c5a66cd322f00bf886d8d"><td class="mdescLeft"> </td><td class="mdescRight">Calculate the pseudo inverse of a rectangular matrix using the QR decomposition. <a href="qr__pseudo__inverse_8c.html#a9fb1ebdfe21c5a66cd322f00bf886d8d">More...</a><br /></td></tr>
+<tr class="separator:a9fb1ebdfe21c5a66cd322f00bf886d8d"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>QR decomposition algorithms to compute the pseudo-inverse of a matrix. </p>
+<p>The computation of the pseudo-inverse is implemented using the Householder or the Givens algorithms.</p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="qr__pseudo__inverse_8c_source.html">qr_pseudo_inverse.c</a>.</p>
+</div><h2 class="groupheader">Function Documentation</h2>
+<a id="a9fb1ebdfe21c5a66cd322f00bf886d8d"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a9fb1ebdfe21c5a66cd322f00bf886d8d">◆ </a></span>qr_get_pinv()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">int8_t qr_get_pinv </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>A</em>[m][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>pinv_A</em>[n][m], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">enum <a class="el" href="qr__common_8h.html#ac62c54358ecc0c35cdef1c3fb37cc73b">QR_ALGORITHM</a> </td>
+ <td class="paramname"><em>algo</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Calculate the pseudo inverse of a rectangular matrix using the QR decomposition. </p>
+<p>The computation of the pseudo inverse is based on the Householder or Givens algorithm.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the matrix to inverse. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix to inverse. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">A[][]</td><td>pointer to the matrix A. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">pinv_A[][]</td><td>pointer to the pseudo-inverse matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">algo</td><td>choice between the Householder or Givens algorithms.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>1, if computing the pseudo-inverse matrix is successful. </dd>
+<dd>
+-1, if computing the pseudo-inverse matrix is not successful. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="qr__pseudo__inverse_8c_source.html#l00032">32</a> of file <a class="el" href="qr__pseudo__inverse_8c_source.html">qr_pseudo_inverse.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="qr__pinv__test_8c_source.html#l00030">qr_pinv_test()</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="navelem"><a class="el" href="dir_8c4128baa09a573ad2b8b8c0061a04c9.html">linear_algebra</a></li><li class="navelem"><a class="el" href="dir_26c6b27917397f8a74a0fdde30fa8c1c.html">pseudo_inverse</a></li><li class="navelem"><a class="el" href="qr__pseudo__inverse_8c.html">qr_pseudo_inverse.c</a></li>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
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+</html>
diff --git a/doc/doxygen/html/qr__pseudo__inverse_8c.js b/doc/doxygen/html/qr__pseudo__inverse_8c.js
new file mode 100644
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+++ b/doc/doxygen/html/qr__pseudo__inverse_8c.js
@@ -0,0 +1,4 @@
+var qr__pseudo__inverse_8c =
+[
+ [ "qr_get_pinv", "qr__pseudo__inverse_8c.html#a9fb1ebdfe21c5a66cd322f00bf886d8d", null ]
+];
\ No newline at end of file
diff --git a/doc/doxygen/html/qr__pseudo__inverse_8c_source.html b/doc/doxygen/html/qr__pseudo__inverse_8c_source.html
new file mode 100644
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+/* @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)">
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+<div class="title">qr_pseudo_inverse.c</div> </div>
+</div><!--header-->
+<div class="contents">
+<a href="qr__pseudo__inverse_8c.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="preprocessor">#include <stdio.h></span></div>
+<div class="line"><a name="l00025"></a><span class="lineno"> 25</span>  </div>
+<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="preprocessor">#include "<a class="code" href="matrix_8h.html">matrix.h</a>"</span></div>
+<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="preprocessor">#include "<a class="code" href="qr__common_8h.html">qr_common.h</a>"</span></div>
+<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="preprocessor">#include "<a class="code" href="qr__givens_8h.html">qr_givens.h</a>"</span></div>
+<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="preprocessor">#include "<a class="code" href="qr__householder_8h.html">qr_householder.h</a>"</span></div>
+<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="preprocessor">#include "<a class="code" href="pseudo__inverse_8h.html">pseudo_inverse.h</a>"</span></div>
+<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  </div>
+<div class="line"><a name="l00032"></a><span class="lineno"><a class="line" href="qr__pseudo__inverse_8c.html#a9fb1ebdfe21c5a66cd322f00bf886d8d"> 32</a></span> int8_t <a class="code" href="qr__pseudo__inverse_8c.html#a9fb1ebdfe21c5a66cd322f00bf886d8d">qr_get_pinv</a>(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[m][n],</div>
+<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> pinv_A[n][m], <span class="keyword">enum</span> <a class="code" href="qr__common_8h.html#ac62c54358ecc0c35cdef1c3fb37cc73b">QR_ALGORITHM</a> algo)</div>
+<div class="line"><a name="l00034"></a><span class="lineno"> 34</span> {</div>
+<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  int8_t status;</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="keywordflow">switch</span> (algo) {</div>
+<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  <span class="keywordflow">case</span> QR_Householder:</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>  puts(<span class="stringliteral">"Householder !!!!"</span>);</div>
+<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> Q[m][m];</div>
+<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> R[m][n];</div>
+<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  <a class="code" href="matrix_8h.html#ae8d8daa117e9f96a5e29fe6c76c4998c">matrix_copy</a>(m, n, A, R);</div>
+<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  status = <a class="code" href="qr__householder_8h.html#a926e8bce91b658f64837d5c93b0bc74f">qr_householder_decomp</a>(m, n, R, m, Q, <span class="keyword">false</span>);</div>
+<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> inv_R[n][m];</div>
+<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  <a class="code" href="matrix_8h.html#ab166871472924745f70e2bb6e17498c8">matrix_get_inv_upp_triang</a>(m, n, R, inv_R);</div>
+<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  </div>
+<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  <span class="comment">// A+ = R^-1*Q'</span></div>
+<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  <a class="code" href="matrix_8h.html#a48b36217faeda15438f4e07c54d0ef9e">matrix_in_place_transpose</a>(m, Q);</div>
+<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  <a class="code" href="matrix_8h.html#a550aa0d5a3212e35ad0af134895fd20a">matrix_mul</a>(n, m, inv_R, m, m, Q, pinv_A);</div>
+<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  </div>
+<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  <span class="keywordflow">break</span>;</div>
+<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  }</div>
+<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  </div>
+<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  <span class="keywordflow">case</span> QR_Givens:</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>  puts(<span class="stringliteral">"Givens !!!"</span>);</div>
+<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  </div>
+<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> Q[m][m];</div>
+<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> R[m][n];</div>
+<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  <a class="code" href="matrix_8h.html#ae8d8daa117e9f96a5e29fe6c76c4998c">matrix_copy</a>(m, n, A, R);</div>
+<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  status = <a class="code" href="qr__givens_8h.html#a07adca97c58afc057a5cff738f6473cc">qr_givens_decomp</a>(m, n, R, m, Q, <span class="keyword">false</span>);</div>
+<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> inv_R[n][m];</div>
+<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  <a class="code" href="matrix_8h.html#ab166871472924745f70e2bb6e17498c8">matrix_get_inv_upp_triang</a>(m, n, R, inv_R);</div>
+<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  </div>
+<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  <span class="comment">// A+ = R^-1*Q'</span></div>
+<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  <a class="code" href="matrix_8h.html#a48b36217faeda15438f4e07c54d0ef9e">matrix_in_place_transpose</a>(m, Q);</div>
+<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  <a class="code" href="matrix_8h.html#a550aa0d5a3212e35ad0af134895fd20a">matrix_mul</a>(n, m, inv_R, m, m, Q, pinv_A);</div>
+<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  </div>
+<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  <span class="keywordflow">break</span>;</div>
+<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  }</div>
+<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  </div>
+<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  <span class="keywordflow">default</span>:</div>
+<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  {</div>
+<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> Q[m][m];</div>
+<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> R[m][n];</div>
+<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  <a class="code" href="matrix_8h.html#ae8d8daa117e9f96a5e29fe6c76c4998c">matrix_copy</a>(m, n, A, R);</div>
+<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  status = <a class="code" href="qr__householder_8h.html#a926e8bce91b658f64837d5c93b0bc74f">qr_householder_decomp</a>(m, n, R, m, Q, <span class="keyword">false</span>);</div>
+<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> inv_R[n][m];</div>
+<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  <a class="code" href="matrix_8h.html#ab166871472924745f70e2bb6e17498c8">matrix_get_inv_upp_triang</a>(m, n, R, inv_R);</div>
+<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  </div>
+<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  <span class="comment">// A+ = R^-1*Q'</span></div>
+<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  <a class="code" href="matrix_8h.html#a48b36217faeda15438f4e07c54d0ef9e">matrix_in_place_transpose</a>(m, Q);</div>
+<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  <a class="code" href="matrix_8h.html#a550aa0d5a3212e35ad0af134895fd20a">matrix_mul</a>(n, m, inv_R, m, m, Q, pinv_A);</div>
+<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  </div>
+<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  }</div>
+<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  }</div>
+<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  </div>
+<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  <span class="keywordflow">return</span> status;</div>
+<div class="line"><a name="l00090"></a><span class="lineno"> 90</span> }</div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="aqr__householder_8h_html_a926e8bce91b658f64837d5c93b0bc74f"><div class="ttname"><a href="qr__householder_8h.html#a926e8bce91b658f64837d5c93b0bc74f">qr_householder_decomp</a></div><div class="ttdeci">int8_t qr_householder_decomp(uint8_t m, uint8_t n, matrix_t A[][n], uint8_t q_col_num, matrix_t Q[][q_col_num], bool reduced)</div><div class="ttdoc">Computes the QR decomposition of the matrix A by using the Householder algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="qr__householder_8c_source.html#l00033">qr_householder.c:33</a></div></div>
+<div class="ttc" id="apseudo__inverse_8h_html"><div class="ttname"><a href="pseudo__inverse_8h.html">pseudo_inverse.h</a></div><div class="ttdoc">Compute the pseudo-inverse of a matrix.</div></div>
+<div class="ttc" id="aqr__householder_8h_html"><div class="ttname"><a href="qr__householder_8h.html">qr_householder.h</a></div><div class="ttdoc">Householder algorithm for the QR-decomposition.</div></div>
+<div class="ttc" id="aqr__common_8h_html_ac62c54358ecc0c35cdef1c3fb37cc73b"><div class="ttname"><a href="qr__common_8h.html#ac62c54358ecc0c35cdef1c3fb37cc73b">QR_ALGORITHM</a></div><div class="ttdeci">QR_ALGORITHM</div><div class="ttdoc">Possible algorithms to compute the QR-decomposition of a matrix.</div><div class="ttdef"><b>Definition:</b> <a href="qr__common_8h_source.html#l00032">qr_common.h:32</a></div></div>
+<div class="ttc" id="amatrix_8h_html"><div class="ttname"><a href="matrix_8h.html">matrix.h</a></div><div class="ttdoc">Matrix computations.</div></div>
+<div class="ttc" id="aqr__pseudo__inverse_8c_html_a9fb1ebdfe21c5a66cd322f00bf886d8d"><div class="ttname"><a href="qr__pseudo__inverse_8c.html#a9fb1ebdfe21c5a66cd322f00bf886d8d">qr_get_pinv</a></div><div class="ttdeci">int8_t qr_get_pinv(uint8_t m, uint8_t n, matrix_t A[m][n], matrix_t pinv_A[n][m], enum QR_ALGORITHM algo)</div><div class="ttdoc">Calculate the pseudo inverse of a rectangular matrix using the QR decomposition.</div><div class="ttdef"><b>Definition:</b> <a href="qr__pseudo__inverse_8c_source.html#l00032">qr_pseudo_inverse.c:32</a></div></div>
+<div class="ttc" id="aqr__common_8h_html"><div class="ttname"><a href="qr__common_8h.html">qr_common.h</a></div><div class="ttdoc">Common definitions and implementations for the QR-decomposition. Provide necessary methods to constru...</div></div>
+<div class="ttc" id="amatrix_8h_html_ae8d8daa117e9f96a5e29fe6c76c4998c"><div class="ttname"><a href="matrix_8h.html#ae8d8daa117e9f96a5e29fe6c76c4998c">matrix_copy</a></div><div class="ttdeci">void matrix_copy(uint8_t m, uint8_t n, matrix_t src_matrix[m][n], matrix_t dest_matrix[m][n])</div><div class="ttdoc">Copy the elements of a matrix to another matrix.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00083">matrix.c:83</a></div></div>
+<div class="ttc" id="aqr__givens_8h_html_a07adca97c58afc057a5cff738f6473cc"><div class="ttname"><a href="qr__givens_8h.html#a07adca97c58afc057a5cff738f6473cc">qr_givens_decomp</a></div><div class="ttdeci">int8_t qr_givens_decomp(uint8_t m, uint8_t n, matrix_t A[][n], uint8_t q_col_num, matrix_t Q[][q_col_num], bool reduced)</div><div class="ttdoc">Computes the QR decomposition of the matrix A by using the Givens algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="qr__givens_8c_source.html#l00033">qr_givens.c:33</a></div></div>
+<div class="ttc" id="amatrix_8h_html_ab166871472924745f70e2bb6e17498c8"><div class="ttname"><a href="matrix_8h.html#ab166871472924745f70e2bb6e17498c8">matrix_get_inv_upp_triang</a></div><div class="ttdeci">void matrix_get_inv_upp_triang(uint8_t m, uint8_t n, matrix_t U[][n], matrix_t inv_U[][m])</div><div class="ttdoc">Computes the inverse an upper triangular matrix.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00795">matrix.c:795</a></div></div>
+<div class="ttc" id="amatrix_8h_html_af38ac6b76d645fea9abd6caeb4d9dd31"><div class="ttname"><a href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a></div><div class="ttdeci">#define matrix_t</div><div class="ttdoc">Define the data type of the matrix elements.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8h_source.html#l00038">matrix.h:38</a></div></div>
+<div class="ttc" id="amatrix_8h_html_a48b36217faeda15438f4e07c54d0ef9e"><div class="ttname"><a href="matrix_8h.html#a48b36217faeda15438f4e07c54d0ef9e">matrix_in_place_transpose</a></div><div class="ttdeci">void matrix_in_place_transpose(uint8_t m, matrix_t matrix[][m])</div><div class="ttdoc">Computes the in-place transpose of a matrix.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00069">matrix.c:69</a></div></div>
+<div class="ttc" id="aqr__givens_8h_html"><div class="ttname"><a href="qr__givens_8h.html">qr_givens.h</a></div><div class="ttdoc">Givens algorithm for the QR-decomposition. Provide necessary methods to construct Q- and R- matrices ...</div></div>
+<div class="ttc" id="amatrix_8h_html_a550aa0d5a3212e35ad0af134895fd20a"><div class="ttname"><a href="matrix_8h.html#a550aa0d5a3212e35ad0af134895fd20a">matrix_mul</a></div><div class="ttdeci">void matrix_mul(uint8_t a_line_num, uint8_t a_col_num, matrix_t a_matrix[a_line_num][a_col_num], uint8_t b_line_num, uint8_t b_col_num, matrix_t b_matrix[b_line_num][b_col_num], matrix_t dest_matrix[a_line_num][b_col_num])</div><div class="ttdoc">Compute the multiplication of two matrices.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00363">matrix.c:363</a></div></div>
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+
+<div class="header">
+ <div class="summary">
+<a href="#func-members">Functions</a> </div>
+ <div class="headertitle">
+<div class="title">qr_pseudo_inverse.h File Reference<div class="ingroups"><a class="el" href="group__linear__algebra.html">LINEAR_ALGEBRA</a> » <a class="el" href="group__pseudo__inverse.html">PSEUDO_INVERSE</a></div></div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>QR decomposition algorithms to compute the pseudo-inverse of a matrix.
+<a href="#details">More...</a></p>
+<div class="textblock"><code>#include <inttypes.h></code><br />
+<code>#include "<a class="el" href="matrix_8h_source.html">matrix.h</a>"</code><br />
+<code>#include "<a class="el" href="qr__common_8h_source.html">qr_common.h</a>"</code><br />
+</div>
+<p><a href="qr__pseudo__inverse_8h_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a9fb1ebdfe21c5a66cd322f00bf886d8d"><td class="memItemLeft" align="right" valign="top">int8_t </td><td class="memItemRight" valign="bottom"><a class="el" href="qr__pseudo__inverse_8h.html#a9fb1ebdfe21c5a66cd322f00bf886d8d">qr_get_pinv</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[m][n], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> pinv_A[n][m], enum <a class="el" href="qr__common_8h.html#ac62c54358ecc0c35cdef1c3fb37cc73b">QR_ALGORITHM</a> algo)</td></tr>
+<tr class="memdesc:a9fb1ebdfe21c5a66cd322f00bf886d8d"><td class="mdescLeft"> </td><td class="mdescRight">Calculate the pseudo inverse of a rectangular matrix using the QR decomposition. <a href="qr__pseudo__inverse_8h.html#a9fb1ebdfe21c5a66cd322f00bf886d8d">More...</a><br /></td></tr>
+<tr class="separator:a9fb1ebdfe21c5a66cd322f00bf886d8d"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>QR decomposition algorithms to compute the pseudo-inverse of a matrix. </p>
+<p>The computation of the pseudo-inverse is implemented using the Householder or the Givens algorithms.</p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="qr__pseudo__inverse_8h_source.html">qr_pseudo_inverse.h</a>.</p>
+</div><h2 class="groupheader">Function Documentation</h2>
+<a id="a9fb1ebdfe21c5a66cd322f00bf886d8d"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a9fb1ebdfe21c5a66cd322f00bf886d8d">◆ </a></span>qr_get_pinv()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">int8_t qr_get_pinv </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>A</em>[m][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>pinv_A</em>[n][m], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">enum <a class="el" href="qr__common_8h.html#ac62c54358ecc0c35cdef1c3fb37cc73b">QR_ALGORITHM</a> </td>
+ <td class="paramname"><em>algo</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Calculate the pseudo inverse of a rectangular matrix using the QR decomposition. </p>
+<p>The computation of the pseudo inverse is based on the Householder or Givens algorithm.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the matrix to inverse. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix to inverse. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">A[][]</td><td>pointer to the matrix A. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">pinv_A[][]</td><td>pointer to the pseudo-inverse matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">algo</td><td>choice between the Householder or Givens algorithms.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>1, if computing the pseudo-inverse matrix is successful. </dd>
+<dd>
+-1, if computing the pseudo-inverse matrix is not successful. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="qr__pseudo__inverse_8c_source.html#l00032">32</a> of file <a class="el" href="qr__pseudo__inverse_8c_source.html">qr_pseudo_inverse.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="qr__pinv__test_8c_source.html#l00030">qr_pinv_test()</a>.</p>
+
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+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
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diff --git a/doc/doxygen/html/qr__pseudo__inverse_8h.js b/doc/doxygen/html/qr__pseudo__inverse_8h.js
new file mode 100644
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--- /dev/null
+++ b/doc/doxygen/html/qr__pseudo__inverse_8h.js
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+var qr__pseudo__inverse_8h =
+[
+ [ "qr_get_pinv", "qr__pseudo__inverse_8h.html#a9fb1ebdfe21c5a66cd322f00bf886d8d", null ]
+];
\ No newline at end of file
diff --git a/doc/doxygen/html/qr__pseudo__inverse_8h_source.html b/doc/doxygen/html/qr__pseudo__inverse_8h_source.html
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+ <div id="projectbrief">Open Source Library for Linear and Non-linear Algebra</div>
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+/* @license-end */
+</script>
+<div id="doc-content">
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
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+<div class="title">qr_pseudo_inverse.h</div> </div>
+</div><!--header-->
+<div class="contents">
+<a href="qr__pseudo__inverse_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#ifndef QR_GET_PINV_H_</span></div>
+<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="preprocessor">#define QR_GET_PINV_H_</span></div>
+<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>  </div>
+<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="preprocessor">#include <inttypes.h></span></div>
+<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>  </div>
+<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="preprocessor">#include "<a class="code" href="matrix_8h.html">matrix.h</a>"</span></div>
+<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="preprocessor">#include "<a class="code" href="qr__common_8h.html">qr_common.h</a>"</span></div>
+<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>  </div>
+<div class="line"><a name="l00048"></a><span class="lineno"> 48</span> int8_t <a class="code" href="qr__pseudo__inverse_8h.html#a9fb1ebdfe21c5a66cd322f00bf886d8d">qr_get_pinv</a>(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[m][n],</div>
+<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> pinv_A[n][m], <span class="keyword">enum</span> <a class="code" href="qr__common_8h.html#ac62c54358ecc0c35cdef1c3fb37cc73b">QR_ALGORITHM</a> algo);</div>
+<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  </div>
+<div class="line"><a name="l00051"></a><span class="lineno"> 51</span> <span class="preprocessor">#endif </span><span class="comment">/* QR_GET_PINV_H_ */</span><span class="preprocessor"></span></div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="aqr__common_8h_html_ac62c54358ecc0c35cdef1c3fb37cc73b"><div class="ttname"><a href="qr__common_8h.html#ac62c54358ecc0c35cdef1c3fb37cc73b">QR_ALGORITHM</a></div><div class="ttdeci">QR_ALGORITHM</div><div class="ttdoc">Possible algorithms to compute the QR-decomposition of a matrix.</div><div class="ttdef"><b>Definition:</b> <a href="qr__common_8h_source.html#l00032">qr_common.h:32</a></div></div>
+<div class="ttc" id="amatrix_8h_html"><div class="ttname"><a href="matrix_8h.html">matrix.h</a></div><div class="ttdoc">Matrix computations.</div></div>
+<div class="ttc" id="aqr__pseudo__inverse_8h_html_a9fb1ebdfe21c5a66cd322f00bf886d8d"><div class="ttname"><a href="qr__pseudo__inverse_8h.html#a9fb1ebdfe21c5a66cd322f00bf886d8d">qr_get_pinv</a></div><div class="ttdeci">int8_t qr_get_pinv(uint8_t m, uint8_t n, matrix_t A[m][n], matrix_t pinv_A[n][m], enum QR_ALGORITHM algo)</div><div class="ttdoc">Calculate the pseudo inverse of a rectangular matrix using the QR decomposition.</div><div class="ttdef"><b>Definition:</b> <a href="qr__pseudo__inverse_8c_source.html#l00032">qr_pseudo_inverse.c:32</a></div></div>
+<div class="ttc" id="aqr__common_8h_html"><div class="ttname"><a href="qr__common_8h.html">qr_common.h</a></div><div class="ttdoc">Common definitions and implementations for the QR-decomposition. Provide necessary methods to constru...</div></div>
+<div class="ttc" id="amatrix_8h_html_af38ac6b76d645fea9abd6caeb4d9dd31"><div class="ttname"><a href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a></div><div class="ttdeci">#define matrix_t</div><div class="ttdoc">Define the data type of the matrix elements.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8h_source.html#l00038">matrix.h:38</a></div></div>
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+ it under the terms of the GNU General Public License as published by
+ the Free Software Foundation; either version 2 of the License, or
+ (at your option) any later version.
+
+ This program is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ GNU General Public License for more details.
+
+ You should have received a copy of the GNU General Public License along
+ with this program; if not, write to the Free Software Foundation, Inc.,
+ 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
+
+ @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;
+}
+
+/* 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, inFrame, label)
+{
+ if (!name || !resultsPath) { alert("Missing parameters to SearchBox."); }
+
+ // ---------- 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.insideFrame = inFrame;
+ this.searchLabel = label;
+
+ // ----------- 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();
+
+ if (this.insideFrame)
+ {
+ var left = getXPos(searchField);
+ var top = getYPos(searchField);
+ left += searchField.offsetWidth + 6;
+ top += searchField.offsetHeight;
+
+ // show search selection popup
+ searchSelectWindow.style.display='block';
+ left -= searchSelectWindow.offsetWidth;
+ searchSelectWindow.style.left = left + 'px';
+ searchSelectWindow.style.top = top + 'px';
+ }
+ else
+ {
+ 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 if (window.frames.MSearchResults.searchResults)
+ {
+ var elem = window.frames.MSearchResults.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 resultsPage;
+ var resultsPageWithSearch;
+ var hasResultsPage;
+
+ var idx = indexSectionsWithContent[this.searchIndex].indexOf(idxChar);
+ if (idx!=-1)
+ {
+ var hexCode=idx.toString(16);
+ resultsPage = this.resultsPath + '/' + indexSectionNames[this.searchIndex] + '_' + hexCode + '.html';
+ resultsPageWithSearch = resultsPage+'?'+escape(searchValue);
+ hasResultsPage = true;
+ }
+ else // nothing available for this search term
+ {
+ resultsPage = this.resultsPath + '/nomatches.html';
+ resultsPageWithSearch = resultsPage;
+ hasResultsPage = false;
+ }
+
+ window.frames.MSearchResults.location = resultsPageWithSearch;
+ var domPopupSearchResultsWindow = this.DOMPopupSearchResultsWindow();
+
+ if (domPopupSearchResultsWindow.style.display!='block')
+ {
+ var domSearchBox = this.DOMSearchBox();
+ this.DOMSearchClose().style.display = 'inline';
+ if (this.insideFrame)
+ {
+ var domPopupSearchResults = this.DOMPopupSearchResults();
+ domPopupSearchResultsWindow.style.position = 'relative';
+ domPopupSearchResultsWindow.style.display = 'block';
+ var width = document.body.clientWidth - 8; // the -8 is for IE :-(
+ domPopupSearchResultsWindow.style.width = width + 'px';
+ domPopupSearchResults.style.width = width + 'px';
+ }
+ else
+ {
+ var domPopupSearchResults = this.DOMPopupSearchResults();
+ var left = getXPos(domSearchBox) + 150; // domSearchBox.offsetWidth;
+ var top = getYPos(domSearchBox) + 20; // domSearchBox.offsetHeight + 1;
+ domPopupSearchResultsWindow.style.display = 'block';
+ left -= domPopupSearchResults.offsetWidth;
+ domPopupSearchResultsWindow.style.top = top + 'px';
+ domPopupSearchResultsWindow.style.left = left + 'px';
+ }
+ }
+
+ this.lastSearchValue = searchValue;
+ this.lastResultsPage = resultsPage;
+ }
+
+ // -------- 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';
+
+ var searchField = this.DOMSearchField();
+
+ if (searchField.value == this.searchLabel) // clear "Search" term upon entry
+ {
+ searchField.value = '';
+ this.searchActive = true;
+ }
+ }
+ else if (!isActive) // directly remove the panel
+ {
+ this.DOMSearchBox().className = 'MSearchBoxInactive';
+ this.DOMSearchField().value = this.searchLabel;
+ this.searchActive = false;
+ this.lastSearchValue = ''
+ this.lastResultsPage = '';
+ }
+ }
+}
+
+// -----------------------------------------------------------------------
+
+// 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 == 'DIV' && element.className == 'SRChildren')
+ {
+ return element;
+ }
+
+ if (element.nodeName == '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
+ {
+ parent.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
+ {
+ parent.searchBox.CloseResultsWindow();
+ parent.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
+ {
+ parent.searchBox.CloseResultsWindow();
+ parent.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()
+{
+ var results = document.getElementById("SRResults");
+ 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',searchData[e][1][1][0]);
+ if (searchData[e][1][1][1])
+ {
+ srLink.setAttribute('target','_parent');
+ }
+ 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',searchData[e][1][c+1][0]);
+ if (searchData[e][1][c+1][1])
+ {
+ srChild.setAttribute('target','_parent');
+ }
+ 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 */
diff --git a/doc/doxygen/html/search/search_l.png b/doc/doxygen/html/search/search_l.png
new file mode 100644
index 0000000000000000000000000000000000000000..fd5f7daa41a4c79b4ae9bea5aa7bdfb94e14084b
Binary files /dev/null and b/doc/doxygen/html/search/search_l.png differ
diff --git a/doc/doxygen/html/search/search_m.png b/doc/doxygen/html/search/search_m.png
new file mode 100644
index 0000000000000000000000000000000000000000..b429a16ba641960da1e52e5da85dc80fd82635c8
Binary files /dev/null and b/doc/doxygen/html/search/search_m.png differ
diff --git a/doc/doxygen/html/search/search_r.png b/doc/doxygen/html/search/search_r.png
new file mode 100644
index 0000000000000000000000000000000000000000..1af5d21ee13e070d7600f1c4657fde843b953a69
Binary files /dev/null and b/doc/doxygen/html/search/search_r.png differ
diff --git a/doc/doxygen/html/search/searchdata.js b/doc/doxygen/html/search/searchdata.js
new file mode 100644
index 0000000000000000000000000000000000000000..4e9857cf5e0bb028bfffa405244427cff4011feb
--- /dev/null
+++ b/doc/doxygen/html/search/searchdata.js
@@ -0,0 +1,42 @@
+var indexSectionsWithContent =
+{
+ 0: "abcdefghiklmnopqrstuv",
+ 1: "m",
+ 2: "cdfghlmnopqstuv",
+ 3: "cdfghilmnopqrstuv",
+ 4: "cr",
+ 5: "anq",
+ 6: "dghmn",
+ 7: "acikmnprsv",
+ 8: "bdelmnopsu",
+ 9: "cgr"
+};
+
+var indexSectionNames =
+{
+ 0: "all",
+ 1: "classes",
+ 2: "files",
+ 3: "functions",
+ 4: "variables",
+ 5: "enums",
+ 6: "enumvalues",
+ 7: "defines",
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+
+<div class="header">
+ <div class="summary">
+<a href="#func-members">Functions</a> </div>
+ <div class="headertitle">
+<div class="title">shell_sort.c File Reference</div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Implement the Shell sort algorithm.
+<a href="#details">More...</a></p>
+<div class="textblock"><code>#include <stdio.h></code><br />
+<code>#include "<a class="el" href="utils_8h_source.html">utils.h</a>"</code><br />
+<code>#include "<a class="el" href="vector_8h_source.html">vector.h</a>"</code><br />
+</div>
+<p><a href="shell__sort_8c_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a92bc0e3a993e78dfab795f5ccc3e227e"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="shell__sort_8c.html#a92bc0e3a993e78dfab795f5ccc3e227e">int_shell_sort</a> (int *array, int length)</td></tr>
+<tr class="memdesc:a92bc0e3a993e78dfab795f5ccc3e227e"><td class="mdescLeft"> </td><td class="mdescRight">Sort a data set of integers by using the Shell sort algorithm. <a href="shell__sort_8c.html#a92bc0e3a993e78dfab795f5ccc3e227e">More...</a><br /></td></tr>
+<tr class="separator:a92bc0e3a993e78dfab795f5ccc3e227e"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a569649d96b2e8f453793ea166d3e96a6"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="shell__sort_8c.html#a569649d96b2e8f453793ea166d3e96a6">shell_sort</a> (<a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> *arr, uint8_t length)</td></tr>
+<tr class="memdesc:a569649d96b2e8f453793ea166d3e96a6"><td class="mdescLeft"> </td><td class="mdescRight">Sort a data set of type utils_t by using the Shell sort algorithm. <a href="shell__sort_8c.html#a569649d96b2e8f453793ea166d3e96a6">More...</a><br /></td></tr>
+<tr class="separator:a569649d96b2e8f453793ea166d3e96a6"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Implement the Shell sort algorithm. </p>
+<p>The Shell sort algorithm is more convenient for devices with limited storage capacity.</p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="shell__sort_8c_source.html">shell_sort.c</a>.</p>
+</div><h2 class="groupheader">Function Documentation</h2>
+<a id="a92bc0e3a993e78dfab795f5ccc3e227e"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a92bc0e3a993e78dfab795f5ccc3e227e">◆ </a></span>int_shell_sort()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void int_shell_sort </td>
+ <td>(</td>
+ <td class="paramtype">int * </td>
+ <td class="paramname"><em>array</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">int </td>
+ <td class="paramname"><em>length</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Sort a data set of integers by using the Shell sort algorithm. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">array[]</td><td>pointer to the data set. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">length</td><td>size of the data set. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="shell__sort_8c_source.html#l00028">28</a> of file <a class="el" href="shell__sort_8c_source.html">shell_sort.c</a>.</p>
+
+</div>
+</div>
+<a id="a569649d96b2e8f453793ea166d3e96a6"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a569649d96b2e8f453793ea166d3e96a6">◆ </a></span>shell_sort()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void shell_sort </td>
+ <td>(</td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> * </td>
+ <td class="paramname"><em>arr</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>length</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Sort a data set of type utils_t by using the Shell sort algorithm. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">arr[]</td><td>pointer to the data set. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">length</td><td>size of the data set. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="shell__sort_8c_source.html#l00049">49</a> of file <a class="el" href="shell__sort_8c_source.html">shell_sort.c</a>.</p>
+
+<p class="reference">References <a class="el" href="vector_8h_source.html#l00033">vector_t</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="multipath__dist__detection__mitigation_8c_source.html#l00133">recog_mitigate_multipath()</a>, and <a class="el" href="utils_8c_source.html#l00152">utils_get_median()</a>.</p>
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+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
+ </ul>
+</div>
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+<meta name="viewport" content="width=device-width, initial-scale=1"/>
+<title>RcdMathLib_doc: shell_sort.c Source File</title>
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+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
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+ <div id="projectname">RcdMathLib_doc
+ </div>
+ <div id="projectbrief">Open Source Library for Linear and Non-linear Algebra</div>
+ </td>
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+</table>
+</div>
+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.16 -->
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+/* @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)">
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+<iframe src="javascript:void(0)" frameborder="0"
+ name="MSearchResults" id="MSearchResults">
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+</div>
+
+<div class="header">
+ <div class="headertitle">
+<div class="title">shell_sort.c</div> </div>
+</div><!--header-->
+<div class="contents">
+<a href="shell__sort_8c.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="preprocessor">#include <stdio.h></span></div>
+<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="preprocessor">#include "<a class="code" href="utils_8h.html">utils.h</a>"</span></div>
+<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#include "<a class="code" href="vector_8h.html">vector.h</a>"</span></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">/* Shell Sort Program */</span></div>
+<div class="line"><a name="l00028"></a><span class="lineno"><a class="line" href="shell__sort_8c.html#a92bc0e3a993e78dfab795f5ccc3e227e"> 28</a></span> <span class="keywordtype">void</span> <a class="code" href="shell__sort_8c.html#a92bc0e3a993e78dfab795f5ccc3e227e">int_shell_sort</a>(<span class="keywordtype">int</span> *array, <span class="keywordtype">int</span> length)</div>
+<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> {</div>
+<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>  <span class="keywordtype">int</span> n = length;</div>
+<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  <span class="keywordtype">int</span> i, j, gap, temp;</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="keywordflow">for</span> (gap = n / 2; gap > 0; gap /= 2) {</div>
+<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  <span class="keywordflow">for</span> (i = gap; i < n; i++) {</div>
+<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  temp = array[i];</div>
+<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  <span class="keywordflow">for</span> (j = i; j >= gap; j -= gap) {</div>
+<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  <span class="keywordflow">if</span> (temp < array[j - gap]) {</div>
+<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  array[j] = array[j - gap];</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>  <span class="keywordflow">else</span> {</div>
+<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  <span class="keywordflow">break</span>;</div>
+<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  }</div>
+<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  }</div>
+<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  array[j] = temp;</div>
+<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  }</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> }</div>
+<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  </div>
+<div class="line"><a name="l00049"></a><span class="lineno"><a class="line" href="shell__sort_8c.html#a569649d96b2e8f453793ea166d3e96a6"> 49</a></span> <span class="keywordtype">void</span> <a class="code" href="shell__sort_8c.html#a569649d96b2e8f453793ea166d3e96a6">shell_sort</a>(<a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> *arr, uint8_t length)</div>
+<div class="line"><a name="l00050"></a><span class="lineno"> 50</span> {</div>
+<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  int32_t j, k;</div>
+<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> temp;</div>
+<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  </div>
+<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  <span class="keywordflow">for</span> (int32_t i = length / 2; i > 0; i = i / 2) {</div>
+<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  <span class="keywordflow">for</span> (j = i; j < length; j++) {</div>
+<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  temp = arr[j];</div>
+<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  <span class="keywordflow">for</span> (k = j - 1; k >= 0 && arr[k] > temp; k--) {</div>
+<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  arr[k + 1] = arr[k];</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>  arr[k + 1] = temp;</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>  }</div>
+<div class="line"><a name="l00063"></a><span class="lineno"> 63</span> }</div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="avector_8h_html_acb41430bc5720dda7d1c45d91a0b0221"><div class="ttname"><a href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a></div><div class="ttdeci">#define vector_t</div><div class="ttdoc">Define the data type of the vector elements.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8h_source.html#l00033">vector.h:33</a></div></div>
+<div class="ttc" id="ashell__sort_8c_html_a569649d96b2e8f453793ea166d3e96a6"><div class="ttname"><a href="shell__sort_8c.html#a569649d96b2e8f453793ea166d3e96a6">shell_sort</a></div><div class="ttdeci">void shell_sort(vector_t *arr, uint8_t length)</div><div class="ttdoc">Sort a data set of type utils_t by using the Shell sort algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="shell__sort_8c_source.html#l00049">shell_sort.c:49</a></div></div>
+<div class="ttc" id="autils_8h_html"><div class="ttname"><a href="utils_8h.html">utils.h</a></div><div class="ttdoc">Utilities for linear algebra.</div></div>
+<div class="ttc" id="ashell__sort_8c_html_a92bc0e3a993e78dfab795f5ccc3e227e"><div class="ttname"><a href="shell__sort_8c.html#a92bc0e3a993e78dfab795f5ccc3e227e">int_shell_sort</a></div><div class="ttdeci">void int_shell_sort(int *array, int length)</div><div class="ttdoc">Sort a data set of integers by using the Shell sort algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="shell__sort_8c_source.html#l00028">shell_sort.c:28</a></div></div>
+<div class="ttc" id="avector_8h_html"><div class="ttname"><a href="vector_8h.html">vector.h</a></div><div class="ttdoc">Vector computations.</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_8c4128baa09a573ad2b8b8c0061a04c9.html">linear_algebra</a></li><li class="navelem"><a class="el" href="dir_08749d3fb0d5743bfaf3c7bce248dc40.html">utilities</a></li><li class="navelem"><a class="el" href="shell__sort_8c.html">shell_sort.c</a></li>
+ <li class="footer">Generated by
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+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
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diff --git a/doc/doxygen/html/shell__sort_8h.html b/doc/doxygen/html/shell__sort_8h.html
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+<title>RcdMathLib_doc: shell_sort.h File Reference</title>
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+ <tr style="height: 56px;">
+ <td id="projectalign" style="padding-left: 0.5em;">
+ <div id="projectname">RcdMathLib_doc
+ </div>
+ <div id="projectbrief">Open Source Library for Linear and Non-linear Algebra</div>
+ </td>
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+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.16 -->
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+/* @license-end */
+</script>
+<div id="doc-content">
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+ onmouseover="return searchBox.OnSearchSelectShow()"
+ onmouseout="return searchBox.OnSearchSelectHide()"
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+<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">shell_sort.h File Reference<div class="ingroups"><a class="el" href="group__linear__algebra.html">LINEAR_ALGEBRA</a> » <a class="el" href="group__utilities.html">UTILITIES</a></div></div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Implement the Shell sort algorithm.
+<a href="#details">More...</a></p>
+<div class="textblock"><code>#include <stdint.h></code><br />
+<code>#include "<a class="el" href="vector_8h_source.html">vector.h</a>"</code><br />
+</div>
+<p><a href="shell__sort_8h_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a92bc0e3a993e78dfab795f5ccc3e227e"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="shell__sort_8h.html#a92bc0e3a993e78dfab795f5ccc3e227e">int_shell_sort</a> (int *array, int length)</td></tr>
+<tr class="memdesc:a92bc0e3a993e78dfab795f5ccc3e227e"><td class="mdescLeft"> </td><td class="mdescRight">Sort a data set of integers by using the Shell sort algorithm. <a href="shell__sort_8h.html#a92bc0e3a993e78dfab795f5ccc3e227e">More...</a><br /></td></tr>
+<tr class="separator:a92bc0e3a993e78dfab795f5ccc3e227e"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a569649d96b2e8f453793ea166d3e96a6"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="shell__sort_8h.html#a569649d96b2e8f453793ea166d3e96a6">shell_sort</a> (<a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> *arr, uint8_t length)</td></tr>
+<tr class="memdesc:a569649d96b2e8f453793ea166d3e96a6"><td class="mdescLeft"> </td><td class="mdescRight">Sort a data set of type utils_t by using the Shell sort algorithm. <a href="shell__sort_8h.html#a569649d96b2e8f453793ea166d3e96a6">More...</a><br /></td></tr>
+<tr class="separator:a569649d96b2e8f453793ea166d3e96a6"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Implement the Shell sort algorithm. </p>
+<p>The Shell sort algorithm is more convenient for devices with limited storage capacity.</p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="shell__sort_8h_source.html">shell_sort.h</a>.</p>
+</div><h2 class="groupheader">Function Documentation</h2>
+<a id="a92bc0e3a993e78dfab795f5ccc3e227e"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a92bc0e3a993e78dfab795f5ccc3e227e">◆ </a></span>int_shell_sort()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void int_shell_sort </td>
+ <td>(</td>
+ <td class="paramtype">int * </td>
+ <td class="paramname"><em>array</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">int </td>
+ <td class="paramname"><em>length</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Sort a data set of integers by using the Shell sort algorithm. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">array[]</td><td>pointer to the data set. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">length</td><td>size of the data set. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="shell__sort_8c_source.html#l00028">28</a> of file <a class="el" href="shell__sort_8c_source.html">shell_sort.c</a>.</p>
+
+</div>
+</div>
+<a id="a569649d96b2e8f453793ea166d3e96a6"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a569649d96b2e8f453793ea166d3e96a6">◆ </a></span>shell_sort()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void shell_sort </td>
+ <td>(</td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> * </td>
+ <td class="paramname"><em>arr</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>length</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Sort a data set of type utils_t by using the Shell sort algorithm. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">arr[]</td><td>pointer to the data set. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">length</td><td>size of the data set. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="shell__sort_8c_source.html#l00049">49</a> of file <a class="el" href="shell__sort_8c_source.html">shell_sort.c</a>.</p>
+
+<p class="reference">References <a class="el" href="vector_8h_source.html#l00033">vector_t</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="multipath__dist__detection__mitigation_8c_source.html#l00133">recog_mitigate_multipath()</a>, and <a class="el" href="utils_8c_source.html#l00152">utils_get_median()</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="navelem"><a class="el" href="dir_8c4128baa09a573ad2b8b8c0061a04c9.html">linear_algebra</a></li><li class="navelem"><a class="el" href="dir_08749d3fb0d5743bfaf3c7bce248dc40.html">utilities</a></li><li class="navelem"><a class="el" href="dir_d5f52845b1ed776b4ff9f3c6f4225d4b.html">include</a></li><li class="navelem"><a class="el" href="shell__sort_8h.html">shell_sort.h</a></li>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
+ </ul>
+</div>
+</body>
+</html>
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+var shell__sort_8h =
+[
+ [ "int_shell_sort", "shell__sort_8h.html#a92bc0e3a993e78dfab795f5ccc3e227e", null ],
+ [ "shell_sort", "shell__sort_8h.html#a569649d96b2e8f453793ea166d3e96a6", null ]
+];
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diff --git a/doc/doxygen/html/shell__sort_8h_source.html b/doc/doxygen/html/shell__sort_8h_source.html
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+<!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 1.8.16"/>
+<meta name="viewport" content="width=device-width, initial-scale=1"/>
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+<div class="title">shell_sort.h</div> </div>
+</div><!--header-->
+<div class="contents">
+<a href="shell__sort_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="preprocessor">#ifndef SHELL_SORT_H_</span></div>
+<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#define SHELL_SORT_H_</span></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="preprocessor">#include <stdint.h></span></div>
+<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="preprocessor">#include "<a class="code" href="vector_8h.html">vector.h</a>"</span></div>
+<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>  </div>
+<div class="line"><a name="l00037"></a><span class="lineno"> 37</span> <span class="keywordtype">void</span> <a class="code" href="shell__sort_8h.html#a92bc0e3a993e78dfab795f5ccc3e227e">int_shell_sort</a>(<span class="keywordtype">int</span> *array, <span class="keywordtype">int</span> length);</div>
+<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  </div>
+<div class="line"><a name="l00046"></a><span class="lineno"> 46</span> <span class="keywordtype">void</span> <a class="code" href="shell__sort_8h.html#a569649d96b2e8f453793ea166d3e96a6">shell_sort</a>(<a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> *arr, uint8_t length);</div>
+<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  </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> <span class="preprocessor">#endif </span><span class="comment">/* SHELL_SORT_H_ */</span><span class="preprocessor"></span></div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="ashell__sort_8h_html_a569649d96b2e8f453793ea166d3e96a6"><div class="ttname"><a href="shell__sort_8h.html#a569649d96b2e8f453793ea166d3e96a6">shell_sort</a></div><div class="ttdeci">void shell_sort(vector_t *arr, uint8_t length)</div><div class="ttdoc">Sort a data set of type utils_t by using the Shell sort algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="shell__sort_8c_source.html#l00049">shell_sort.c:49</a></div></div>
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+<div class="ttc" id="ashell__sort_8h_html_a92bc0e3a993e78dfab795f5ccc3e227e"><div class="ttname"><a href="shell__sort_8h.html#a92bc0e3a993e78dfab795f5ccc3e227e">int_shell_sort</a></div><div class="ttdeci">void int_shell_sort(int *array, int length)</div><div class="ttdoc">Sort a data set of integers by using the Shell sort algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="shell__sort_8c_source.html#l00028">shell_sort.c:28</a></div></div>
+<div class="ttc" id="avector_8h_html"><div class="ttname"><a href="vector_8h.html">vector.h</a></div><div class="ttdoc">Vector computations.</div></div>
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+<a href="#func-members">Functions</a> </div>
+ <div class="headertitle">
+<div class="title">solve.c File Reference</div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Enables to solve systems of linear equations Ax = b for x.
+<a href="#details">More...</a></p>
+<div class="textblock"><code>#include <stdio.h></code><br />
+<code>#include "<a class="el" href="solve_8h_source.html">solve.h</a>"</code><br />
+<code>#include "<a class="el" href="matrix_8h_source.html">matrix.h</a>"</code><br />
+<code>#include "<a class="el" href="qr__givens_8h_source.html">qr_givens.h</a>"</code><br />
+<code>#include "<a class="el" href="qr__common_8h_source.html">qr_common.h</a>"</code><br />
+<code>#include "<a class="el" href="lu__decomp_8h_source.html">lu_decomp.h</a>"</code><br />
+<code>#include "<a class="el" href="qr__householder_8h_source.html">qr_householder.h</a>"</code><br />
+<code>#include "<a class="el" href="moore__penrose__pseudo__inverse_8h_source.html">moore_penrose_pseudo_inverse.h</a>"</code><br />
+</div>
+<p><a href="solve_8c_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a829e66492dc3073c0f7a190cda9b7db1"><td class="memItemLeft" align="right" valign="top">int8_t </td><td class="memItemRight" valign="bottom"><a class="el" href="solve_8c.html#a829e66492dc3073c0f7a190cda9b7db1">solve</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[][n], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> b[m], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> x_sol[n], enum <a class="el" href="pseudo__inverse_8h.html#aeead1612e2f846fe32e4c50e1ab3d7c3">ALGORITHM</a> algo)</td></tr>
+<tr class="memdesc:a829e66492dc3073c0f7a190cda9b7db1"><td class="mdescLeft"> </td><td class="mdescRight">Solve an (m <img class="formulaInl" alt="$\times$" src="form_35.png"/> n) linear system Ax = b by using the Moore–Penrose, Householder, or the Givens algorithm. <a href="solve_8c.html#a829e66492dc3073c0f7a190cda9b7db1">More...</a><br /></td></tr>
+<tr class="separator:a829e66492dc3073c0f7a190cda9b7db1"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:ab6336aff7fbff116a6118b39a0d1e2cd"><td class="memItemLeft" align="right" valign="top">int8_t </td><td class="memItemRight" valign="bottom"><a class="el" href="solve_8c.html#ab6336aff7fbff116a6118b39a0d1e2cd">solve_householder</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[][n], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> b[m], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> x_sol[n])</td></tr>
+<tr class="memdesc:ab6336aff7fbff116a6118b39a0d1e2cd"><td class="mdescLeft"> </td><td class="mdescRight">Solve an (m <img class="formulaInl" alt="$\times$" src="form_35.png"/> n) linear system Ax = b, using the Householder algorithm. <a href="solve_8c.html#ab6336aff7fbff116a6118b39a0d1e2cd">More...</a><br /></td></tr>
+<tr class="separator:ab6336aff7fbff116a6118b39a0d1e2cd"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:ac728f92ed0a0cba0e8776222acfe1d88"><td class="memItemLeft" align="right" valign="top">int8_t </td><td class="memItemRight" valign="bottom"><a class="el" href="solve_8c.html#ac728f92ed0a0cba0e8776222acfe1d88">solve_givens</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[][n], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> b[m], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> x_sol[n])</td></tr>
+<tr class="memdesc:ac728f92ed0a0cba0e8776222acfe1d88"><td class="mdescLeft"> </td><td class="mdescRight">Solve an (m <img class="formulaInl" alt="$\times$" src="form_35.png"/> n) linear system Ax = b, using the Givens algorithm. <a href="solve_8c.html#ac728f92ed0a0cba0e8776222acfe1d88">More...</a><br /></td></tr>
+<tr class="separator:ac728f92ed0a0cba0e8776222acfe1d88"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a96faf0d4f04f27a12e4ced0bffd0f634"><td class="memItemLeft" align="right" valign="top">int8_t </td><td class="memItemRight" valign="bottom"><a class="el" href="solve_8c.html#a96faf0d4f04f27a12e4ced0bffd0f634">solve_lu_decomp</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[][n], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> b[m], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> x_sol[n])</td></tr>
+<tr class="memdesc:a96faf0d4f04f27a12e4ced0bffd0f634"><td class="mdescLeft"> </td><td class="mdescRight">Solve an (m <img class="formulaInl" alt="$\times$" src="form_35.png"/> n) linear system Ax = b, using the Gaussian Elimination with pivoting algorithm. <a href="solve_8c.html#a96faf0d4f04f27a12e4ced0bffd0f634">More...</a><br /></td></tr>
+<tr class="separator:a96faf0d4f04f27a12e4ced0bffd0f634"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Enables to solve systems of linear equations Ax = b for x. </p>
+<p>The user can select various algorithm such as the Moore–Penrose inverse, the Givens or the Householder algorithm for the QR-decomposition to solve the systems of linear equations.</p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="solve_8c_source.html">solve.c</a>.</p>
+</div><h2 class="groupheader">Function Documentation</h2>
+<a id="a829e66492dc3073c0f7a190cda9b7db1"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a829e66492dc3073c0f7a190cda9b7db1">◆ </a></span>solve()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">int8_t solve </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>A</em>[][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>b</em>[m], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>x_sol</em>[n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">enum <a class="el" href="pseudo__inverse_8h.html#aeead1612e2f846fe32e4c50e1ab3d7c3">ALGORITHM</a> </td>
+ <td class="paramname"><em>algo</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Solve an (m <img class="formulaInl" alt="$\times$" src="form_35.png"/> n) linear system Ax = b by using the Moore–Penrose, Householder, or the Givens algorithm. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the matrix A. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix A. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">A[][]</td><td>pointer to the matrix A. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">b[]</td><td>pointer to the vector b. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">x_sol[]</td><td>pointer to the solution vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">algo</td><td>specifies the algorithm to use (e.g. the Householder method).</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>1, if solving the linear equation system is successful. </dd>
+<dd>
+-1, if solving the linear equation system is not successful. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="solve_8c_source.html#l00035">35</a> of file <a class="el" href="solve_8c_source.html">solve.c</a>.</p>
+
+<p class="reference">References <a class="el" href="pseudo__inverse_8h_source.html#l00034">Gauss</a>, <a class="el" href="pseudo__inverse_8h_source.html#l00033">Givens</a>, <a class="el" href="pseudo__inverse_8h_source.html#l00032">Householder</a>, <a class="el" href="matrix_8c_source.html#l00434">matrix_mul_vec()</a>, <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>, <a class="el" href="pseudo__inverse_8h_source.html#l00031">Moore_Penrose</a>, <a class="el" href="moore__penrose__pseudo__inverse_8c_source.html#l00038">moore_penrose_get_pinv()</a>, <a class="el" href="solve_8c_source.html#l00102">solve_givens()</a>, <a class="el" href="solve_8c_source.html#l00077">solve_householder()</a>, and <a class="el" href="solve_8c_source.html#l00124">solve_lu_decomp()</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="solve__test_8c_source.html#l00216">solve_big_matrix_test()</a>, and <a class="el" href="solve__test_8c_source.html#l00029">solve_test()</a>.</p>
+
+</div>
+</div>
+<a id="ac728f92ed0a0cba0e8776222acfe1d88"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#ac728f92ed0a0cba0e8776222acfe1d88">◆ </a></span>solve_givens()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">int8_t solve_givens </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>A</em>[][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>b</em>[m], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>x_sol</em>[n] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Solve an (m <img class="formulaInl" alt="$\times$" src="form_35.png"/> n) linear system Ax = b, using the Givens algorithm. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the matrix A. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix A. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">A[][]</td><td>pointer to the matrix A. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">b[]</td><td>pointer to the vector b. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">x_sol[]</td><td>pointer to the solution vector.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>1, if solving the linear equation system is successful. </dd>
+<dd>
+-1, if solving the linear equation system is not successful. </dd>
+<dd>
+-1, if the linear system is not solvable. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="solve_8c_source.html#l00102">102</a> of file <a class="el" href="solve_8c_source.html">solve.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>, <a class="el" href="matrix_8c_source.html#l00511">matrix_trans_mul_vec()</a>, <a class="el" href="qr__common_8c_source.html#l00028">qr_common_backward_subst()</a>, and <a class="el" href="qr__givens_8c_source.html#l00033">qr_givens_decomp()</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="solve_8c_source.html#l00035">solve()</a>.</p>
+
+</div>
+</div>
+<a id="ab6336aff7fbff116a6118b39a0d1e2cd"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#ab6336aff7fbff116a6118b39a0d1e2cd">◆ </a></span>solve_householder()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">int8_t solve_householder </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>A</em>[][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>b</em>[m], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>x_sol</em>[n] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Solve an (m <img class="formulaInl" alt="$\times$" src="form_35.png"/> n) linear system Ax = b, using the Householder algorithm. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the matrix A. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix A. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">A[][]</td><td>pointer to the matrix A. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">b[]</td><td>pointer to the vector b. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">x_sol[]</td><td>pointer to the solution vector.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>1, if solving the linear equation system is successful. </dd>
+<dd>
+-1, if solving the linear equation system is not successful. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="solve_8c_source.html#l00077">77</a> of file <a class="el" href="solve_8c_source.html">solve.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>, <a class="el" href="matrix_8c_source.html#l00511">matrix_trans_mul_vec()</a>, <a class="el" href="qr__common_8c_source.html#l00028">qr_common_backward_subst()</a>, and <a class="el" href="qr__householder_8c_source.html#l00033">qr_householder_decomp()</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="loc__levenberg__marquardt_8c_source.html#l00126">loc_levenberg_marquardt()</a>, <a class="el" href="loc__levenberg__marquardt_8c_source.html#l00034">loc_levenberg_marquardt_correction()</a>, <a class="el" href="levenberg__marquardt_8c_source.html#l00143">opt_levenberg_marquardt()</a>, <a class="el" href="levenberg__marquardt_8c_source.html#l00053">opt_levenberg_marquardt_correction()</a>, and <a class="el" href="solve_8c_source.html#l00035">solve()</a>.</p>
+
+</div>
+</div>
+<a id="a96faf0d4f04f27a12e4ced0bffd0f634"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a96faf0d4f04f27a12e4ced0bffd0f634">◆ </a></span>solve_lu_decomp()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">int8_t solve_lu_decomp </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>A</em>[][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>b</em>[m], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>x_sol</em>[n] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Solve an (m <img class="formulaInl" alt="$\times$" src="form_35.png"/> n) linear system Ax = b, using the Gaussian Elimination with pivoting algorithm. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the matrix A. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix A. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">A[][]</td><td>pointer to the matrix A. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">b[]</td><td>pointer to the vector b. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">x_sol[]</td><td>pointer to the solution vector.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>1, if solving the linear equation system is successful. </dd>
+<dd>
+-1, if solving the linear equation system is not successful. </dd>
+<dd>
+-2, if the linear system is not solvable. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="solve_8c_source.html#l00124">124</a> of file <a class="el" href="solve_8c_source.html">solve.c</a>.</p>
+
+<p class="reference">References <a class="el" href="lu__decomp_8c_source.html#l00031">lu_decomp()</a>, <a class="el" href="matrix_8c_source.html#l00817">matrix_get_inv_low_triang()</a>, <a class="el" href="matrix_8c_source.html#l00363">matrix_mul()</a>, <a class="el" href="matrix_8c_source.html#l00434">matrix_mul_vec()</a>, <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>, and <a class="el" href="qr__common_8c_source.html#l00028">qr_common_backward_subst()</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="solve_8c_source.html#l00035">solve()</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="navelem"><a class="el" href="dir_8c4128baa09a573ad2b8b8c0061a04c9.html">linear_algebra</a></li><li class="navelem"><a class="el" href="dir_f6d35df7bd2aa2399e29232b65f55b23.html">solve_linear_equations</a></li><li class="navelem"><a class="el" href="solve_8c.html">solve.c</a></li>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
+ </ul>
+</div>
+</body>
+</html>
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new file mode 100644
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@@ -0,0 +1,7 @@
+var solve_8c =
+[
+ [ "solve", "solve_8c.html#a829e66492dc3073c0f7a190cda9b7db1", null ],
+ [ "solve_givens", "solve_8c.html#ac728f92ed0a0cba0e8776222acfe1d88", null ],
+ [ "solve_householder", "solve_8c.html#ab6336aff7fbff116a6118b39a0d1e2cd", null ],
+ [ "solve_lu_decomp", "solve_8c.html#a96faf0d4f04f27a12e4ced0bffd0f634", null ]
+];
\ No newline at end of file
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new file mode 100644
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+ </div>
+ <div id="projectbrief">Open Source Library for Linear and Non-linear Algebra</div>
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+ <div class="headertitle">
+<div class="title">solve.c</div> </div>
+</div><!--header-->
+<div class="contents">
+<a href="solve_8c.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#include <stdio.h></span></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="preprocessor">#include "<a class="code" href="solve_8h.html">solve.h</a>"</span></div>
+<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="preprocessor">#include "<a class="code" href="matrix_8h.html">matrix.h</a>"</span></div>
+<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="preprocessor">#include "<a class="code" href="qr__givens_8h.html">qr_givens.h</a>"</span></div>
+<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="preprocessor">#include "<a class="code" href="qr__common_8h.html">qr_common.h</a>"</span></div>
+<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="preprocessor">#include "<a class="code" href="lu__decomp_8h.html">lu_decomp.h</a>"</span></div>
+<div class="line"><a name="l00032"></a><span class="lineno"> 32</span> <span class="preprocessor">#include "<a class="code" href="qr__householder_8h.html">qr_householder.h</a>"</span></div>
+<div class="line"><a name="l00033"></a><span class="lineno"> 33</span> <span class="preprocessor">#include "<a class="code" href="moore__penrose__pseudo__inverse_8h.html">moore_penrose_pseudo_inverse.h</a>"</span></div>
+<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  </div>
+<div class="line"><a name="l00035"></a><span class="lineno"><a class="line" href="solve_8c.html#a829e66492dc3073c0f7a190cda9b7db1"> 35</a></span> int8_t <a class="code" href="solve_8c.html#a829e66492dc3073c0f7a190cda9b7db1">solve</a>(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[][n], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> b[m],</div>
+<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> x_sol[n], <span class="keyword">enum</span> <a class="code" href="pseudo__inverse_8h.html#aeead1612e2f846fe32e4c50e1ab3d7c3">ALGORITHM</a> algo)</div>
+<div class="line"><a name="l00037"></a><span class="lineno"> 37</span> {</div>
+<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  int8_t status;</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>  <span class="keywordflow">switch</span> (algo) {</div>
+<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  <span class="keywordflow">case</span> <a class="code" href="pseudo__inverse_8h.html#aeead1612e2f846fe32e4c50e1ab3d7c3ae835310f82eb01d07137e72133cd5b06">Moore_Penrose</a>:</div>
+<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  {</div>
+<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  <span class="comment">//puts("Moore Penrose !!!!");</span></div>
+<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> pinv_A[n][m];</div>
+<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  status = <a class="code" href="moore__penrose__pseudo__inverse_8h.html#a0ddd46446f074a0d38c04157686f5fce">moore_penrose_get_pinv</a>(m, n, A, pinv_A);</div>
+<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  <a class="code" href="matrix_8h.html#ad610bcce232c69ca302550f57b1ad9fb">matrix_mul_vec</a>(n, m, pinv_A, b, x_sol);</div>
+<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  <span class="keywordflow">break</span>;</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>  <span class="keywordflow">case</span> <a class="code" href="pseudo__inverse_8h.html#aeead1612e2f846fe32e4c50e1ab3d7c3a9db08339065f28367b9ae058d1127a04">Householder</a>:</div>
+<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  <span class="comment">//puts("Householder !!!!");</span></div>
+<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  status = <a class="code" href="solve_8c.html#ab6336aff7fbff116a6118b39a0d1e2cd">solve_householder</a>(m, n, A, b, x_sol);</div>
+<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  <span class="keywordflow">break</span>;</div>
+<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  </div>
+<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  <span class="keywordflow">case</span> <a class="code" href="pseudo__inverse_8h.html#aeead1612e2f846fe32e4c50e1ab3d7c3aab4d4fdd6aa659e7306fa9abf3d0a991">Givens</a>:</div>
+<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  <span class="comment">//puts("Givens !!!");</span></div>
+<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  status = <a class="code" href="solve_8c.html#ac728f92ed0a0cba0e8776222acfe1d88">solve_givens</a>(m, n, A, b, x_sol);</div>
+<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  <span class="keywordflow">break</span>;</div>
+<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  </div>
+<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  <span class="keywordflow">case</span> <a class="code" href="pseudo__inverse_8h.html#aeead1612e2f846fe32e4c50e1ab3d7c3ab15a7891aa5223439e4692a1048cb220">Gauss</a>:</div>
+<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  <span class="comment">//puts("Gauss !!!");</span></div>
+<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  status = <a class="code" href="solve_8c.html#a96faf0d4f04f27a12e4ced0bffd0f634">solve_lu_decomp</a>(m, n, A, b, x_sol);</div>
+<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  <span class="keywordflow">break</span>;</div>
+<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  </div>
+<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  <span class="keywordflow">default</span>:</div>
+<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  {</div>
+<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  <span class="comment">//puts("Default: Moore Penrose");</span></div>
+<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> pinv_A[n][m];</div>
+<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  status = <a class="code" href="moore__penrose__pseudo__inverse_8h.html#a0ddd46446f074a0d38c04157686f5fce">moore_penrose_get_pinv</a>(m, n, A, pinv_A);</div>
+<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  <a class="code" href="matrix_8h.html#ad610bcce232c69ca302550f57b1ad9fb">matrix_mul_vec</a>(n, m, pinv_A, b, x_sol);</div>
+<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  }</div>
+<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  </div>
+<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  }</div>
+<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  </div>
+<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  <span class="keywordflow">return</span> status;</div>
+<div class="line"><a name="l00075"></a><span class="lineno"> 75</span> }</div>
+<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  </div>
+<div class="line"><a name="l00077"></a><span class="lineno"><a class="line" href="solve_8c.html#ab6336aff7fbff116a6118b39a0d1e2cd"> 77</a></span> int8_t <a class="code" href="solve_8c.html#ab6336aff7fbff116a6118b39a0d1e2cd">solve_householder</a>(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[][n],</div>
+<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> b[m],</div>
+<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> x_sol[n])</div>
+<div class="line"><a name="l00080"></a><span class="lineno"> 80</span> {</div>
+<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  </div>
+<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> Q[m][n];</div>
+<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> qt_b[n];</div>
+<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  </div>
+<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  <span class="keywordflow">if</span> (m >= n) {</div>
+<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  int8_t status;</div>
+<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  status = <a class="code" href="qr__householder_8h.html#a926e8bce91b658f64837d5c93b0bc74f">qr_householder_decomp</a>(m, n, A, n, Q, <span class="keyword">true</span>);</div>
+<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  </div>
+<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  <span class="comment">/* qt_b = Q'*b --> Rx = Q'b (R is stored in A) */</span></div>
+<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  <a class="code" href="matrix_8h.html#a53b0a1829b2085414fb66a9e9bd6c7b7">matrix_trans_mul_vec</a>(m, n, Q, m, b, qt_b);</div>
+<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  <a class="code" href="qr__common_8h.html#adad26253c0e08a0d9fe2dfe0f6d64112">qr_common_backward_subst</a>(n, n, A, qt_b, x_sol);</div>
+<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  </div>
+<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  <span class="keywordflow">return</span> status;</div>
+<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  }</div>
+<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  <span class="keywordflow">else</span> {</div>
+<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  puts(<span class="stringliteral">"[solve_householder]: The equation is not solvable !!!"</span>);</div>
+<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  </div>
+<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  <span class="keywordflow">return</span> -2;</div>
+<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  }</div>
+<div class="line"><a name="l00100"></a><span class="lineno"> 100</span> }</div>
+<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  </div>
+<div class="line"><a name="l00102"></a><span class="lineno"><a class="line" href="solve_8c.html#ac728f92ed0a0cba0e8776222acfe1d88"> 102</a></span> int8_t <a class="code" href="solve_8c.html#ac728f92ed0a0cba0e8776222acfe1d88">solve_givens</a>(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[][n], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> b[m],</div>
+<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> x_sol[n])</div>
+<div class="line"><a name="l00104"></a><span class="lineno"> 104</span> {</div>
+<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> Q[m][n];</div>
+<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> qt_b[n];</div>
+<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  </div>
+<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  <span class="keywordflow">if</span> (m >= n) {</div>
+<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  int8_t status;</div>
+<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  status = <a class="code" href="qr__givens_8h.html#a07adca97c58afc057a5cff738f6473cc">qr_givens_decomp</a>(m, n, A, n, Q, <span class="keyword">true</span>);</div>
+<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  </div>
+<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  <span class="comment">/* qt_b = Q'*b --> Rx = Q'b (R is stored in A) */</span></div>
+<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  <a class="code" href="matrix_8h.html#a53b0a1829b2085414fb66a9e9bd6c7b7">matrix_trans_mul_vec</a>(m, n, Q, m, b, qt_b);</div>
+<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  <a class="code" href="qr__common_8h.html#adad26253c0e08a0d9fe2dfe0f6d64112">qr_common_backward_subst</a>(n, n, A, qt_b, x_sol);</div>
+<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  </div>
+<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  <span class="keywordflow">return</span> status;</div>
+<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  }</div>
+<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  <span class="keywordflow">else</span> {</div>
+<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  puts(<span class="stringliteral">"[solve_givens]: The equation is not solvable !!!"</span>);</div>
+<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  <span class="keywordflow">return</span> -2;</div>
+<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  }</div>
+<div class="line"><a name="l00122"></a><span class="lineno"> 122</span> }</div>
+<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  </div>
+<div class="line"><a name="l00124"></a><span class="lineno"><a class="line" href="solve_8c.html#a96faf0d4f04f27a12e4ced0bffd0f634"> 124</a></span> int8_t <a class="code" href="solve_8c.html#a96faf0d4f04f27a12e4ced0bffd0f634">solve_lu_decomp</a>(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[][n], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> b[m],</div>
+<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> x_sol[n])</div>
+<div class="line"><a name="l00126"></a><span class="lineno"> 126</span> {</div>
+<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  </div>
+<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  <span class="keywordflow">if</span> (m == n) {</div>
+<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  <span class="comment">//puts("solve_lu_decomp !!!");</span></div>
+<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> L[m][m];</div>
+<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> P[m][m];</div>
+<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  <a class="code" href="lu__decomp_8h.html#a8649e9f4b85f17bf35a22b18e7f239d7">lu_decomp</a>(m, A, L, P);</div>
+<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  </div>
+<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  <span class="comment">/* lu_b = inv(L)*P*b */</span></div>
+<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> inv_L[m][m];</div>
+<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  <a class="code" href="matrix_8h.html#ae8e87640fa1a2d259ee4dc98c955cb48">matrix_get_inv_low_triang</a>(m, m, L, inv_L);</div>
+<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> tmp[m][m];</div>
+<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  <a class="code" href="matrix_8h.html#a550aa0d5a3212e35ad0af134895fd20a">matrix_mul</a>(m, m, inv_L, m, m, P, tmp);</div>
+<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> lu_b[m];</div>
+<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  <a class="code" href="matrix_8h.html#ad610bcce232c69ca302550f57b1ad9fb">matrix_mul_vec</a>(m, m, tmp, b, lu_b);</div>
+<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  </div>
+<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  <span class="comment">/* U*x = inv(L)*P*b = lu_b*/</span></div>
+<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  <a class="code" href="qr__common_8h.html#adad26253c0e08a0d9fe2dfe0f6d64112">qr_common_backward_subst</a>(n, n, A, lu_b, x_sol);</div>
+<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  <span class="keywordflow">return</span> 1;</div>
+<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  }</div>
+<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  </div>
+<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>  <span class="keywordflow">else</span> {</div>
+<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>  puts(</div>
+<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  <span class="stringliteral">"[solve_lu_decomp]: Only quadratic linear equation systems are supported !!!"</span>);</div>
+<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>  <span class="keywordflow">return</span> -1;</div>
+<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>  }</div>
+<div class="line"><a name="l00152"></a><span class="lineno"> 152</span> }</div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="amoore__penrose__pseudo__inverse_8h_html_a0ddd46446f074a0d38c04157686f5fce"><div class="ttname"><a href="moore__penrose__pseudo__inverse_8h.html#a0ddd46446f074a0d38c04157686f5fce">moore_penrose_get_pinv</a></div><div class="ttdeci">int8_t moore_penrose_get_pinv(uint8_t m, uint8_t n, matrix_t A[m][n], matrix_t pinv_A[n][m])</div><div class="ttdoc">Calculate the Moore–Penrose inverse of a rectangular matrix.</div><div class="ttdef"><b>Definition:</b> <a href="moore__penrose__pseudo__inverse_8c_source.html#l00038">moore_penrose_pseudo_inverse.c:38</a></div></div>
+<div class="ttc" id="amatrix_8h_html_ad610bcce232c69ca302550f57b1ad9fb"><div class="ttname"><a href="matrix_8h.html#ad610bcce232c69ca302550f57b1ad9fb">matrix_mul_vec</a></div><div class="ttdeci">void matrix_mul_vec(uint8_t m, uint8_t n, matrix_t matrix[m][n], matrix_t vec[n], matrix_t dst_arr[m])</div><div class="ttdoc">Compute the multiplication of a matrix with a column vector.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00434">matrix.c:434</a></div></div>
+<div class="ttc" id="apseudo__inverse_8h_html_aeead1612e2f846fe32e4c50e1ab3d7c3aab4d4fdd6aa659e7306fa9abf3d0a991"><div class="ttname"><a href="pseudo__inverse_8h.html#aeead1612e2f846fe32e4c50e1ab3d7c3aab4d4fdd6aa659e7306fa9abf3d0a991">Givens</a></div><div class="ttdoc">Givens algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="pseudo__inverse_8h_source.html#l00033">pseudo_inverse.h:33</a></div></div>
+<div class="ttc" id="aqr__householder_8h_html_a926e8bce91b658f64837d5c93b0bc74f"><div class="ttname"><a href="qr__householder_8h.html#a926e8bce91b658f64837d5c93b0bc74f">qr_householder_decomp</a></div><div class="ttdeci">int8_t qr_householder_decomp(uint8_t m, uint8_t n, matrix_t A[][n], uint8_t q_col_num, matrix_t Q[][q_col_num], bool reduced)</div><div class="ttdoc">Computes the QR decomposition of the matrix A by using the Householder algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="qr__householder_8c_source.html#l00033">qr_householder.c:33</a></div></div>
+<div class="ttc" id="aqr__householder_8h_html"><div class="ttname"><a href="qr__householder_8h.html">qr_householder.h</a></div><div class="ttdoc">Householder algorithm for the QR-decomposition.</div></div>
+<div class="ttc" id="apseudo__inverse_8h_html_aeead1612e2f846fe32e4c50e1ab3d7c3ae835310f82eb01d07137e72133cd5b06"><div class="ttname"><a href="pseudo__inverse_8h.html#aeead1612e2f846fe32e4c50e1ab3d7c3ae835310f82eb01d07137e72133cd5b06">Moore_Penrose</a></div><div class="ttdoc">Moore–Penrose algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="pseudo__inverse_8h_source.html#l00031">pseudo_inverse.h:31</a></div></div>
+<div class="ttc" id="alu__decomp_8h_html"><div class="ttname"><a href="lu__decomp_8h.html">lu_decomp.h</a></div><div class="ttdoc">Computes the LU decomposition of the matrix.</div></div>
+<div class="ttc" id="aqr__common_8h_html_adad26253c0e08a0d9fe2dfe0f6d64112"><div class="ttname"><a href="qr__common_8h.html#adad26253c0e08a0d9fe2dfe0f6d64112">qr_common_backward_subst</a></div><div class="ttdeci">void qr_common_backward_subst(uint8_t m, uint8_t n, matrix_t U[][n], matrix_t b[m], matrix_t x_sol[m])</div><div class="ttdoc">Implements the backward substitution algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="qr__common_8c_source.html#l00028">qr_common.c:28</a></div></div>
+<div class="ttc" id="asolve_8c_html_a829e66492dc3073c0f7a190cda9b7db1"><div class="ttname"><a href="solve_8c.html#a829e66492dc3073c0f7a190cda9b7db1">solve</a></div><div class="ttdeci">int8_t solve(uint8_t m, uint8_t n, matrix_t A[][n], matrix_t b[m], matrix_t x_sol[n], enum ALGORITHM algo)</div><div class="ttdoc">Solve an (m n) linear system Ax = b by using the Moore–Penrose, Householder, or the Givens algorithm...</div><div class="ttdef"><b>Definition:</b> <a href="solve_8c_source.html#l00035">solve.c:35</a></div></div>
+<div class="ttc" id="amatrix_8h_html_a53b0a1829b2085414fb66a9e9bd6c7b7"><div class="ttname"><a href="matrix_8h.html#a53b0a1829b2085414fb66a9e9bd6c7b7">matrix_trans_mul_vec</a></div><div class="ttdeci">void matrix_trans_mul_vec(uint8_t m, uint8_t n, matrix_t A[m][n], uint8_t b_size, matrix_t b_vec[m], matrix_t c_vec[n])</div><div class="ttdoc">Compute the multiplication of transposed matrix with column vector.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00511">matrix.c:511</a></div></div>
+<div class="ttc" id="asolve_8h_html"><div class="ttname"><a href="solve_8h.html">solve.h</a></div><div class="ttdoc">Enables to solve systems of linear equations Ax = b for x.</div></div>
+<div class="ttc" id="amatrix_8h_html"><div class="ttname"><a href="matrix_8h.html">matrix.h</a></div><div class="ttdoc">Matrix computations.</div></div>
+<div class="ttc" id="amoore__penrose__pseudo__inverse_8h_html"><div class="ttname"><a href="moore__penrose__pseudo__inverse_8h.html">moore_penrose_pseudo_inverse.h</a></div><div class="ttdoc">Moore–Penrose algorithm to compute the pseudo-inverse of a matrix.</div></div>
+<div class="ttc" id="apseudo__inverse_8h_html_aeead1612e2f846fe32e4c50e1ab3d7c3a9db08339065f28367b9ae058d1127a04"><div class="ttname"><a href="pseudo__inverse_8h.html#aeead1612e2f846fe32e4c50e1ab3d7c3a9db08339065f28367b9ae058d1127a04">Householder</a></div><div class="ttdoc">Householder algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="pseudo__inverse_8h_source.html#l00032">pseudo_inverse.h:32</a></div></div>
+<div class="ttc" id="asolve_8c_html_a96faf0d4f04f27a12e4ced0bffd0f634"><div class="ttname"><a href="solve_8c.html#a96faf0d4f04f27a12e4ced0bffd0f634">solve_lu_decomp</a></div><div class="ttdeci">int8_t solve_lu_decomp(uint8_t m, uint8_t n, matrix_t A[][n], matrix_t b[m], matrix_t x_sol[n])</div><div class="ttdoc">Solve an (m n) linear system Ax = b, using the Gaussian Elimination with pivoting algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="solve_8c_source.html#l00124">solve.c:124</a></div></div>
+<div class="ttc" id="amatrix_8h_html_ae8e87640fa1a2d259ee4dc98c955cb48"><div class="ttname"><a href="matrix_8h.html#ae8e87640fa1a2d259ee4dc98c955cb48">matrix_get_inv_low_triang</a></div><div class="ttdeci">void matrix_get_inv_low_triang(uint8_t m, uint8_t n, matrix_t L[][n], matrix_t inv_L[][m])</div><div class="ttdoc">Computes the inverse a lower triangular matrix.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00817">matrix.c:817</a></div></div>
+<div class="ttc" id="alu__decomp_8h_html_a8649e9f4b85f17bf35a22b18e7f239d7"><div class="ttname"><a href="lu__decomp_8h.html#a8649e9f4b85f17bf35a22b18e7f239d7">lu_decomp</a></div><div class="ttdeci">uint8_t lu_decomp(uint8_t n, matrix_t A[][n], matrix_t L[][n], matrix_t P[][n])</div><div class="ttdoc">Computes the LU decomposition of the matrix.</div><div class="ttdef"><b>Definition:</b> <a href="lu__decomp_8c_source.html#l00031">lu_decomp.c:31</a></div></div>
+<div class="ttc" id="apseudo__inverse_8h_html_aeead1612e2f846fe32e4c50e1ab3d7c3"><div class="ttname"><a href="pseudo__inverse_8h.html#aeead1612e2f846fe32e4c50e1ab3d7c3">ALGORITHM</a></div><div class="ttdeci">ALGORITHM</div><div class="ttdoc">Possible algorithms to compute the pseudo-inverse matrix.</div><div class="ttdef"><b>Definition:</b> <a href="pseudo__inverse_8h_source.html#l00030">pseudo_inverse.h:30</a></div></div>
+<div class="ttc" id="aqr__common_8h_html"><div class="ttname"><a href="qr__common_8h.html">qr_common.h</a></div><div class="ttdoc">Common definitions and implementations for the QR-decomposition. Provide necessary methods to constru...</div></div>
+<div class="ttc" id="apseudo__inverse_8h_html_aeead1612e2f846fe32e4c50e1ab3d7c3ab15a7891aa5223439e4692a1048cb220"><div class="ttname"><a href="pseudo__inverse_8h.html#aeead1612e2f846fe32e4c50e1ab3d7c3ab15a7891aa5223439e4692a1048cb220">Gauss</a></div><div class="ttdoc">Gaussian elimination with pivoting algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="pseudo__inverse_8h_source.html#l00034">pseudo_inverse.h:34</a></div></div>
+<div class="ttc" id="asolve_8c_html_ac728f92ed0a0cba0e8776222acfe1d88"><div class="ttname"><a href="solve_8c.html#ac728f92ed0a0cba0e8776222acfe1d88">solve_givens</a></div><div class="ttdeci">int8_t solve_givens(uint8_t m, uint8_t n, matrix_t A[][n], matrix_t b[m], matrix_t x_sol[n])</div><div class="ttdoc">Solve an (m n) linear system Ax = b, using the Givens algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="solve_8c_source.html#l00102">solve.c:102</a></div></div>
+<div class="ttc" id="aqr__givens_8h_html_a07adca97c58afc057a5cff738f6473cc"><div class="ttname"><a href="qr__givens_8h.html#a07adca97c58afc057a5cff738f6473cc">qr_givens_decomp</a></div><div class="ttdeci">int8_t qr_givens_decomp(uint8_t m, uint8_t n, matrix_t A[][n], uint8_t q_col_num, matrix_t Q[][q_col_num], bool reduced)</div><div class="ttdoc">Computes the QR decomposition of the matrix A by using the Givens algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="qr__givens_8c_source.html#l00033">qr_givens.c:33</a></div></div>
+<div class="ttc" id="amatrix_8h_html_af38ac6b76d645fea9abd6caeb4d9dd31"><div class="ttname"><a href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a></div><div class="ttdeci">#define matrix_t</div><div class="ttdoc">Define the data type of the matrix elements.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8h_source.html#l00038">matrix.h:38</a></div></div>
+<div class="ttc" id="asolve_8c_html_ab6336aff7fbff116a6118b39a0d1e2cd"><div class="ttname"><a href="solve_8c.html#ab6336aff7fbff116a6118b39a0d1e2cd">solve_householder</a></div><div class="ttdeci">int8_t solve_householder(uint8_t m, uint8_t n, matrix_t A[][n], matrix_t b[m], matrix_t x_sol[n])</div><div class="ttdoc">Solve an (m n) linear system Ax = b, using the Householder algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="solve_8c_source.html#l00077">solve.c:77</a></div></div>
+<div class="ttc" id="aqr__givens_8h_html"><div class="ttname"><a href="qr__givens_8h.html">qr_givens.h</a></div><div class="ttdoc">Givens algorithm for the QR-decomposition. Provide necessary methods to construct Q- and R- matrices ...</div></div>
+<div class="ttc" id="amatrix_8h_html_a550aa0d5a3212e35ad0af134895fd20a"><div class="ttname"><a href="matrix_8h.html#a550aa0d5a3212e35ad0af134895fd20a">matrix_mul</a></div><div class="ttdeci">void matrix_mul(uint8_t a_line_num, uint8_t a_col_num, matrix_t a_matrix[a_line_num][a_col_num], uint8_t b_line_num, uint8_t b_col_num, matrix_t b_matrix[b_line_num][b_col_num], matrix_t dest_matrix[a_line_num][b_col_num])</div><div class="ttdoc">Compute the multiplication of two matrices.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00363">matrix.c:363</a></div></div>
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+<a href="#func-members">Functions</a> </div>
+ <div class="headertitle">
+<div class="title">solve.h File Reference<div class="ingroups"><a class="el" href="group__linear__algebra.html">LINEAR_ALGEBRA</a> » <a class="el" href="group__solve__linear__equations.html">SOLVE_LINEAR_EQUATIONS</a></div></div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Enables to solve systems of linear equations Ax = b for x.
+<a href="#details">More...</a></p>
+<div class="textblock"><code>#include "<a class="el" href="matrix_8h_source.html">matrix.h</a>"</code><br />
+<code>#include "<a class="el" href="pseudo__inverse_8h_source.html">pseudo_inverse.h</a>"</code><br />
+</div>
+<p><a href="solve_8h_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a829e66492dc3073c0f7a190cda9b7db1"><td class="memItemLeft" align="right" valign="top">int8_t </td><td class="memItemRight" valign="bottom"><a class="el" href="solve_8h.html#a829e66492dc3073c0f7a190cda9b7db1">solve</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[][n], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> b[m], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> x_sol[n], enum <a class="el" href="pseudo__inverse_8h.html#aeead1612e2f846fe32e4c50e1ab3d7c3">ALGORITHM</a> algo)</td></tr>
+<tr class="memdesc:a829e66492dc3073c0f7a190cda9b7db1"><td class="mdescLeft"> </td><td class="mdescRight">Solve an (m <img class="formulaInl" alt="$\times$" src="form_35.png"/> n) linear system Ax = b by using the Moore–Penrose, Householder, or the Givens algorithm. <a href="solve_8h.html#a829e66492dc3073c0f7a190cda9b7db1">More...</a><br /></td></tr>
+<tr class="separator:a829e66492dc3073c0f7a190cda9b7db1"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:ab6336aff7fbff116a6118b39a0d1e2cd"><td class="memItemLeft" align="right" valign="top">int8_t </td><td class="memItemRight" valign="bottom"><a class="el" href="solve_8h.html#ab6336aff7fbff116a6118b39a0d1e2cd">solve_householder</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[][n], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> b[m], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> x_sol[n])</td></tr>
+<tr class="memdesc:ab6336aff7fbff116a6118b39a0d1e2cd"><td class="mdescLeft"> </td><td class="mdescRight">Solve an (m <img class="formulaInl" alt="$\times$" src="form_35.png"/> n) linear system Ax = b, using the Householder algorithm. <a href="solve_8h.html#ab6336aff7fbff116a6118b39a0d1e2cd">More...</a><br /></td></tr>
+<tr class="separator:ab6336aff7fbff116a6118b39a0d1e2cd"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:ac728f92ed0a0cba0e8776222acfe1d88"><td class="memItemLeft" align="right" valign="top">int8_t </td><td class="memItemRight" valign="bottom"><a class="el" href="solve_8h.html#ac728f92ed0a0cba0e8776222acfe1d88">solve_givens</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[][n], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> b[m], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> x_sol[n])</td></tr>
+<tr class="memdesc:ac728f92ed0a0cba0e8776222acfe1d88"><td class="mdescLeft"> </td><td class="mdescRight">Solve an (m <img class="formulaInl" alt="$\times$" src="form_35.png"/> n) linear system Ax = b, using the Givens algorithm. <a href="solve_8h.html#ac728f92ed0a0cba0e8776222acfe1d88">More...</a><br /></td></tr>
+<tr class="separator:ac728f92ed0a0cba0e8776222acfe1d88"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a96faf0d4f04f27a12e4ced0bffd0f634"><td class="memItemLeft" align="right" valign="top">int8_t </td><td class="memItemRight" valign="bottom"><a class="el" href="solve_8h.html#a96faf0d4f04f27a12e4ced0bffd0f634">solve_lu_decomp</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[][n], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> b[m], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> x_sol[n])</td></tr>
+<tr class="memdesc:a96faf0d4f04f27a12e4ced0bffd0f634"><td class="mdescLeft"> </td><td class="mdescRight">Solve an (m <img class="formulaInl" alt="$\times$" src="form_35.png"/> n) linear system Ax = b, using the Gaussian Elimination with pivoting algorithm. <a href="solve_8h.html#a96faf0d4f04f27a12e4ced0bffd0f634">More...</a><br /></td></tr>
+<tr class="separator:a96faf0d4f04f27a12e4ced0bffd0f634"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Enables to solve systems of linear equations Ax = b for x. </p>
+<p>The user can select various algorithm such as the Moore–Penrose inverse, the Givens or the Householder algorithm for the QR-decomposition. The user can also choose the Gaussian Elimination with pivoting algorithm to solve the systems of linear equations.</p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="solve_8h_source.html">solve.h</a>.</p>
+</div><h2 class="groupheader">Function Documentation</h2>
+<a id="a829e66492dc3073c0f7a190cda9b7db1"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a829e66492dc3073c0f7a190cda9b7db1">◆ </a></span>solve()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">int8_t solve </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>A</em>[][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>b</em>[m], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>x_sol</em>[n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">enum <a class="el" href="pseudo__inverse_8h.html#aeead1612e2f846fe32e4c50e1ab3d7c3">ALGORITHM</a> </td>
+ <td class="paramname"><em>algo</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Solve an (m <img class="formulaInl" alt="$\times$" src="form_35.png"/> n) linear system Ax = b by using the Moore–Penrose, Householder, or the Givens algorithm. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the matrix A. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix A. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">A[][]</td><td>pointer to the matrix A. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">b[]</td><td>pointer to the vector b. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">x_sol[]</td><td>pointer to the solution vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">algo</td><td>specifies the algorithm to use (e.g. the Householder method).</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>1, if solving the linear equation system is successful. </dd>
+<dd>
+-1, if solving the linear equation system is not successful. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="solve_8c_source.html#l00035">35</a> of file <a class="el" href="solve_8c_source.html">solve.c</a>.</p>
+
+<p class="reference">References <a class="el" href="pseudo__inverse_8h_source.html#l00034">Gauss</a>, <a class="el" href="pseudo__inverse_8h_source.html#l00033">Givens</a>, <a class="el" href="pseudo__inverse_8h_source.html#l00032">Householder</a>, <a class="el" href="matrix_8c_source.html#l00434">matrix_mul_vec()</a>, <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>, <a class="el" href="pseudo__inverse_8h_source.html#l00031">Moore_Penrose</a>, <a class="el" href="moore__penrose__pseudo__inverse_8c_source.html#l00038">moore_penrose_get_pinv()</a>, <a class="el" href="solve_8c_source.html#l00102">solve_givens()</a>, <a class="el" href="solve_8c_source.html#l00077">solve_householder()</a>, and <a class="el" href="solve_8c_source.html#l00124">solve_lu_decomp()</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="solve__test_8c_source.html#l00216">solve_big_matrix_test()</a>, and <a class="el" href="solve__test_8c_source.html#l00029">solve_test()</a>.</p>
+
+</div>
+</div>
+<a id="ac728f92ed0a0cba0e8776222acfe1d88"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#ac728f92ed0a0cba0e8776222acfe1d88">◆ </a></span>solve_givens()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">int8_t solve_givens </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>A</em>[][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>b</em>[m], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>x_sol</em>[n] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Solve an (m <img class="formulaInl" alt="$\times$" src="form_35.png"/> n) linear system Ax = b, using the Givens algorithm. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the matrix A. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix A. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">A[][]</td><td>pointer to the matrix A. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">b[]</td><td>pointer to the vector b. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">x_sol[]</td><td>pointer to the solution vector.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>1, if solving the linear equation system is successful. </dd>
+<dd>
+-1, if solving the linear equation system is not successful. </dd>
+<dd>
+-1, if the linear system is not solvable. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="solve_8c_source.html#l00102">102</a> of file <a class="el" href="solve_8c_source.html">solve.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>, <a class="el" href="matrix_8c_source.html#l00511">matrix_trans_mul_vec()</a>, <a class="el" href="qr__common_8c_source.html#l00028">qr_common_backward_subst()</a>, and <a class="el" href="qr__givens_8c_source.html#l00033">qr_givens_decomp()</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="solve_8c_source.html#l00035">solve()</a>.</p>
+
+</div>
+</div>
+<a id="ab6336aff7fbff116a6118b39a0d1e2cd"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#ab6336aff7fbff116a6118b39a0d1e2cd">◆ </a></span>solve_householder()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">int8_t solve_householder </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>A</em>[][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>b</em>[m], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>x_sol</em>[n] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Solve an (m <img class="formulaInl" alt="$\times$" src="form_35.png"/> n) linear system Ax = b, using the Householder algorithm. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the matrix A. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix A. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">A[][]</td><td>pointer to the matrix A. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">b[]</td><td>pointer to the vector b. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">x_sol[]</td><td>pointer to the solution vector.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>1, if solving the linear equation system is successful. </dd>
+<dd>
+-1, if solving the linear equation system is not successful. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="solve_8c_source.html#l00077">77</a> of file <a class="el" href="solve_8c_source.html">solve.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>, <a class="el" href="matrix_8c_source.html#l00511">matrix_trans_mul_vec()</a>, <a class="el" href="qr__common_8c_source.html#l00028">qr_common_backward_subst()</a>, and <a class="el" href="qr__householder_8c_source.html#l00033">qr_householder_decomp()</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="loc__levenberg__marquardt_8c_source.html#l00126">loc_levenberg_marquardt()</a>, <a class="el" href="loc__levenberg__marquardt_8c_source.html#l00034">loc_levenberg_marquardt_correction()</a>, <a class="el" href="levenberg__marquardt_8c_source.html#l00143">opt_levenberg_marquardt()</a>, <a class="el" href="levenberg__marquardt_8c_source.html#l00053">opt_levenberg_marquardt_correction()</a>, and <a class="el" href="solve_8c_source.html#l00035">solve()</a>.</p>
+
+</div>
+</div>
+<a id="a96faf0d4f04f27a12e4ced0bffd0f634"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a96faf0d4f04f27a12e4ced0bffd0f634">◆ </a></span>solve_lu_decomp()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">int8_t solve_lu_decomp </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>A</em>[][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>b</em>[m], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>x_sol</em>[n] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Solve an (m <img class="formulaInl" alt="$\times$" src="form_35.png"/> n) linear system Ax = b, using the Gaussian Elimination with pivoting algorithm. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the matrix A. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix A. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">A[][]</td><td>pointer to the matrix A. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">b[]</td><td>pointer to the vector b. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">x_sol[]</td><td>pointer to the solution vector.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>1, if solving the linear equation system is successful. </dd>
+<dd>
+-1, if solving the linear equation system is not successful. </dd>
+<dd>
+-2, if the linear system is not solvable. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="solve_8c_source.html#l00124">124</a> of file <a class="el" href="solve_8c_source.html">solve.c</a>.</p>
+
+<p class="reference">References <a class="el" href="lu__decomp_8c_source.html#l00031">lu_decomp()</a>, <a class="el" href="matrix_8c_source.html#l00817">matrix_get_inv_low_triang()</a>, <a class="el" href="matrix_8c_source.html#l00363">matrix_mul()</a>, <a class="el" href="matrix_8c_source.html#l00434">matrix_mul_vec()</a>, <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>, and <a class="el" href="qr__common_8c_source.html#l00028">qr_common_backward_subst()</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="solve_8c_source.html#l00035">solve()</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="navelem"><a class="el" href="dir_8c4128baa09a573ad2b8b8c0061a04c9.html">linear_algebra</a></li><li class="navelem"><a class="el" href="dir_f6d35df7bd2aa2399e29232b65f55b23.html">solve_linear_equations</a></li><li class="navelem"><a class="el" href="dir_7e2fea8632e67e4b5ff2ab6ffb8e1870.html">include</a></li><li class="navelem"><a class="el" href="solve_8h.html">solve.h</a></li>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
+ </ul>
+</div>
+</body>
+</html>
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+var solve_8h =
+[
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+ [ "solve_givens", "solve_8h.html#ac728f92ed0a0cba0e8776222acfe1d88", null ],
+ [ "solve_householder", "solve_8h.html#ab6336aff7fbff116a6118b39a0d1e2cd", null ],
+ [ "solve_lu_decomp", "solve_8h.html#a96faf0d4f04f27a12e4ced0bffd0f634", null ]
+];
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+<title>RcdMathLib_doc: solve.h Source File</title>
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+ <div id="projectname">RcdMathLib_doc
+ </div>
+ <div id="projectbrief">Open Source Library for Linear and Non-linear Algebra</div>
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+<div class="title">solve.h</div> </div>
+</div><!--header-->
+<div class="contents">
+<a href="solve_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="preprocessor">#ifndef SOLVE_H_</span></div>
+<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="preprocessor">#define SOLVE_H_</span></div>
+<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>  </div>
+<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="preprocessor">#include "<a class="code" href="matrix_8h.html">matrix.h</a>"</span></div>
+<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="preprocessor">#include "<a class="code" href="pseudo__inverse_8h.html">pseudo_inverse.h</a>"</span></div>
+<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  </div>
+<div class="line"><a name="l00047"></a><span class="lineno"> 47</span> int8_t <a class="code" href="solve_8h.html#a829e66492dc3073c0f7a190cda9b7db1">solve</a>(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[][n], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> b[m],</div>
+<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> x_sol[n], <span class="keyword">enum</span> <a class="code" href="pseudo__inverse_8h.html#aeead1612e2f846fe32e4c50e1ab3d7c3">ALGORITHM</a> algo);</div>
+<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  </div>
+<div class="line"><a name="l00064"></a><span class="lineno"> 64</span> int8_t <a class="code" href="solve_8h.html#ab6336aff7fbff116a6118b39a0d1e2cd">solve_householder</a>(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[][n],</div>
+<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> b[m],</div>
+<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> x_sol[n]);</div>
+<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  </div>
+<div class="line"><a name="l00082"></a><span class="lineno"> 82</span> int8_t <a class="code" href="solve_8h.html#ac728f92ed0a0cba0e8776222acfe1d88">solve_givens</a>(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[][n], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> b[m],</div>
+<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> x_sol[n]);</div>
+<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  </div>
+<div class="line"><a name="l00100"></a><span class="lineno"> 100</span> int8_t <a class="code" href="solve_8h.html#a96faf0d4f04f27a12e4ced0bffd0f634">solve_lu_decomp</a>(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[][n], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> b[m],</div>
+<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> x_sol[n]);</div>
+<div class="line"><a name="l00102"></a><span class="lineno"> 102</span> <span class="preprocessor">#endif </span><span class="comment">/* SOLVE_H_ */</span><span class="preprocessor"></span></div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="asolve_8h_html_ac728f92ed0a0cba0e8776222acfe1d88"><div class="ttname"><a href="solve_8h.html#ac728f92ed0a0cba0e8776222acfe1d88">solve_givens</a></div><div class="ttdeci">int8_t solve_givens(uint8_t m, uint8_t n, matrix_t A[][n], matrix_t b[m], matrix_t x_sol[n])</div><div class="ttdoc">Solve an (m n) linear system Ax = b, using the Givens algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="solve_8c_source.html#l00102">solve.c:102</a></div></div>
+<div class="ttc" id="asolve_8h_html_a96faf0d4f04f27a12e4ced0bffd0f634"><div class="ttname"><a href="solve_8h.html#a96faf0d4f04f27a12e4ced0bffd0f634">solve_lu_decomp</a></div><div class="ttdeci">int8_t solve_lu_decomp(uint8_t m, uint8_t n, matrix_t A[][n], matrix_t b[m], matrix_t x_sol[n])</div><div class="ttdoc">Solve an (m n) linear system Ax = b, using the Gaussian Elimination with pivoting algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="solve_8c_source.html#l00124">solve.c:124</a></div></div>
+<div class="ttc" id="apseudo__inverse_8h_html"><div class="ttname"><a href="pseudo__inverse_8h.html">pseudo_inverse.h</a></div><div class="ttdoc">Compute the pseudo-inverse of a matrix.</div></div>
+<div class="ttc" id="asolve_8h_html_ab6336aff7fbff116a6118b39a0d1e2cd"><div class="ttname"><a href="solve_8h.html#ab6336aff7fbff116a6118b39a0d1e2cd">solve_householder</a></div><div class="ttdeci">int8_t solve_householder(uint8_t m, uint8_t n, matrix_t A[][n], matrix_t b[m], matrix_t x_sol[n])</div><div class="ttdoc">Solve an (m n) linear system Ax = b, using the Householder algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="solve_8c_source.html#l00077">solve.c:77</a></div></div>
+<div class="ttc" id="amatrix_8h_html"><div class="ttname"><a href="matrix_8h.html">matrix.h</a></div><div class="ttdoc">Matrix computations.</div></div>
+<div class="ttc" id="apseudo__inverse_8h_html_aeead1612e2f846fe32e4c50e1ab3d7c3"><div class="ttname"><a href="pseudo__inverse_8h.html#aeead1612e2f846fe32e4c50e1ab3d7c3">ALGORITHM</a></div><div class="ttdeci">ALGORITHM</div><div class="ttdoc">Possible algorithms to compute the pseudo-inverse matrix.</div><div class="ttdef"><b>Definition:</b> <a href="pseudo__inverse_8h_source.html#l00030">pseudo_inverse.h:30</a></div></div>
+<div class="ttc" id="asolve_8h_html_a829e66492dc3073c0f7a190cda9b7db1"><div class="ttname"><a href="solve_8h.html#a829e66492dc3073c0f7a190cda9b7db1">solve</a></div><div class="ttdeci">int8_t solve(uint8_t m, uint8_t n, matrix_t A[][n], matrix_t b[m], matrix_t x_sol[n], enum ALGORITHM algo)</div><div class="ttdoc">Solve an (m n) linear system Ax = b by using the Moore–Penrose, Householder, or the Givens algorithm...</div><div class="ttdef"><b>Definition:</b> <a href="solve_8c_source.html#l00035">solve.c:35</a></div></div>
+<div class="ttc" id="amatrix_8h_html_af38ac6b76d645fea9abd6caeb4d9dd31"><div class="ttname"><a href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a></div><div class="ttdeci">#define matrix_t</div><div class="ttdoc">Define the data type of the matrix elements.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8h_source.html#l00038">matrix.h:38</a></div></div>
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+ name="MSearchResults" id="MSearchResults">
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+
+<div class="header">
+ <div class="summary">
+<a href="#func-members">Functions</a> </div>
+ <div class="headertitle">
+<div class="title">solve_test.c File Reference</div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Examples of solving linear equation systems.
+<a href="#details">More...</a></p>
+<div class="textblock"><code>#include <stdio.h></code><br />
+<code>#include "<a class="el" href="solve_8h_source.html">solve.h</a>"</code><br />
+<code>#include "<a class="el" href="matrix_8h_source.html">matrix.h</a>"</code><br />
+<code>#include "<a class="el" href="vector_8h_source.html">vector.h</a>"</code><br />
+</div>
+<p><a href="solve__test_8c_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a468b4492daa139d24a18624526001220"><td class="memItemLeft" align="right" valign="top"><a id="a468b4492daa139d24a18624526001220"></a>
+void </td><td class="memItemRight" valign="bottom"><a class="el" href="solve__test_8c.html#a468b4492daa139d24a18624526001220">solve_test</a> (void)</td></tr>
+<tr class="memdesc:a468b4492daa139d24a18624526001220"><td class="mdescLeft"> </td><td class="mdescRight">Examples of solving linear equation systems. <br /></td></tr>
+<tr class="separator:a468b4492daa139d24a18624526001220"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:acb6c59801ca040ac66f436b8f332a371"><td class="memItemLeft" align="right" valign="top"><a id="acb6c59801ca040ac66f436b8f332a371"></a>
+void </td><td class="memItemRight" valign="bottom"><a class="el" href="solve__test_8c.html#acb6c59801ca040ac66f436b8f332a371">solve_big_matrix_test</a> (void)</td></tr>
+<tr class="memdesc:acb6c59801ca040ac66f436b8f332a371"><td class="mdescLeft"> </td><td class="mdescRight">Example of solving an (10,5) linear equation system. <br /></td></tr>
+<tr class="separator:acb6c59801ca040ac66f436b8f332a371"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Examples of solving linear equation systems. </p>
+<p>Solving linear equation systems examples (see <a class="el" href="solve_8h.html">solve</a> functions).</p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="solve__test_8c_source.html">solve_test.c</a>.</p>
+</div></div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="navelem"><a class="el" href="dir_d28a4824dc47e487b107a5db32ef43c4.html">examples</a></li><li class="navelem"><a class="el" href="dir_bb878afedbb83074fe4b7f6b65e06747.html">linear_algebra</a></li><li class="navelem"><a class="el" href="dir_c00c1b9b31ec8172d0e33f1bbb777699.html">solve_linear_equations</a></li><li class="navelem"><a class="el" href="solve__test_8c.html">solve_test.c</a></li>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
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+var solve__test_8c =
+[
+ [ "solve_big_matrix_test", "solve__test_8c.html#acb6c59801ca040ac66f436b8f332a371", null ],
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+ <div class="headertitle">
+<div class="title">solve_test.c</div> </div>
+</div><!--header-->
+<div class="contents">
+<a href="solve__test_8c.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="preprocessor">#include <stdio.h></span></div>
+<div class="line"><a name="l00024"></a><span class="lineno"> 24</span>  </div>
+<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#include "<a class="code" href="solve_8h.html">solve.h</a>"</span></div>
+<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="preprocessor">#include "<a class="code" href="matrix_8h.html">matrix.h</a>"</span></div>
+<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="preprocessor">#include "<a class="code" href="vector_8h.html">vector.h</a>"</span></div>
+<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>  </div>
+<div class="line"><a name="l00029"></a><span class="lineno"><a class="line" href="solve__test_8c.html#a468b4492daa139d24a18624526001220"> 29</a></span> <span class="keywordtype">void</span> <a class="code" href="solve__test_8c.html#a468b4492daa139d24a18624526001220">solve_test</a>(<span class="keywordtype">void</span>)</div>
+<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> {</div>
+<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  int8_t error_no;</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>  puts(<span class="stringliteral">"############ Solve Linear Algebra Module ############"</span>);</div>
+<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  </div>
+<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  puts(<span class="stringliteral">"******* Determined system *******"</span>);</div>
+<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  uint8_t m = 3;</div>
+<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  uint8_t n = m;</div>
+<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  <span class="keyword">enum</span> <a class="code" href="pseudo__inverse_8h.html#aeead1612e2f846fe32e4c50e1ab3d7c3">ALGORITHM</a> algo = <a class="code" href="pseudo__inverse_8h.html#aeead1612e2f846fe32e4c50e1ab3d7c3ae835310f82eb01d07137e72133cd5b06">Moore_Penrose</a>;</div>
+<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A1[3][3] = { { 2, 1, 1 },</div>
+<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>  { -1, 1, -1 },</div>
+<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  { 1, 2, 3 } };</div>
+<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> copy_A1[m][n];</div>
+<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> b1[3] = { 2, 3, -10 };</div>
+<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> x[3];</div>
+<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  </div>
+<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  printf(<span class="stringliteral">"A1 = "</span>);</div>
+<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  <a class="code" href="matrix_8h.html#a82f374a9b8b215f0ef53d35401eae524">matrix_flex_print</a>(m, n, A1, 3, 1);</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>  puts(<span class="stringliteral">"Moore Penrose: "</span>);</div>
+<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  <a class="code" href="matrix_8h.html#ae8d8daa117e9f96a5e29fe6c76c4998c">matrix_copy</a>(m, n, A1, copy_A1);</div>
+<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  error_no = <a class="code" href="solve_8h.html#a829e66492dc3073c0f7a190cda9b7db1">solve</a>(m, n, copy_A1, b1, x, algo);</div>
+<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  </div>
+<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  <span class="keywordflow">if</span> (error_no > 0) {</div>
+<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  printf(<span class="stringliteral">"x1 = "</span>);</div>
+<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  <a class="code" href="vector_8h.html#ab2827264910e858f238868695a92db4b">vector_flex_print</a>(n, x, 3, 1);</div>
+<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  }</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>  puts(<span class="stringliteral">"Householder: "</span>);</div>
+<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  algo = <a class="code" href="pseudo__inverse_8h.html#aeead1612e2f846fe32e4c50e1ab3d7c3a9db08339065f28367b9ae058d1127a04">Householder</a>;</div>
+<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  <a class="code" href="matrix_8h.html#ae8d8daa117e9f96a5e29fe6c76c4998c">matrix_copy</a>(m, n, A1, copy_A1);</div>
+<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  error_no = <a class="code" href="solve_8h.html#a829e66492dc3073c0f7a190cda9b7db1">solve</a>(m, n, copy_A1, b1, x, algo);</div>
+<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  </div>
+<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  <span class="keywordflow">if</span> (error_no > 0) {</div>
+<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  printf(<span class="stringliteral">"x1 = "</span>);</div>
+<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  <a class="code" href="vector_8h.html#ab2827264910e858f238868695a92db4b">vector_flex_print</a>(n, x, 3, 1);</div>
+<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  }</div>
+<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  </div>
+<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  puts(<span class="stringliteral">"Givens: "</span>);</div>
+<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  algo = <a class="code" href="pseudo__inverse_8h.html#aeead1612e2f846fe32e4c50e1ab3d7c3aab4d4fdd6aa659e7306fa9abf3d0a991">Givens</a>;</div>
+<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  <a class="code" href="matrix_8h.html#ae8d8daa117e9f96a5e29fe6c76c4998c">matrix_copy</a>(m, n, A1, copy_A1);</div>
+<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  error_no = <a class="code" href="solve_8h.html#a829e66492dc3073c0f7a190cda9b7db1">solve</a>(m, n, copy_A1, b1, x, algo);</div>
+<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  </div>
+<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  <span class="keywordflow">if</span> (error_no > 0) {</div>
+<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  printf(<span class="stringliteral">"x1 = "</span>);</div>
+<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  <a class="code" href="vector_8h.html#ab2827264910e858f238868695a92db4b">vector_flex_print</a>(n, x, 3, 1);</div>
+<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  }</div>
+<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  </div>
+<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  puts(<span class="stringliteral">"Gauss: "</span>);</div>
+<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  algo = <a class="code" href="pseudo__inverse_8h.html#aeead1612e2f846fe32e4c50e1ab3d7c3ab15a7891aa5223439e4692a1048cb220">Gauss</a>;</div>
+<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  <a class="code" href="matrix_8h.html#ae8d8daa117e9f96a5e29fe6c76c4998c">matrix_copy</a>(m, n, A1, copy_A1);</div>
+<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  error_no = <a class="code" href="solve_8h.html#a829e66492dc3073c0f7a190cda9b7db1">solve</a>(m, n, copy_A1, b1, x, algo);</div>
+<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  </div>
+<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  <span class="keywordflow">if</span> (error_no > 0) {</div>
+<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  printf(<span class="stringliteral">"x1 = "</span>);</div>
+<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  <a class="code" href="vector_8h.html#ab2827264910e858f238868695a92db4b">vector_flex_print</a>(n, x, 3, 1);</div>
+<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  }</div>
+<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  </div>
+<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  puts(<span class="stringliteral">"******* Overdetermined system *******"</span>);</div>
+<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  m = 4;</div>
+<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  n = 3;</div>
+<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A2[4][3] = { { 25, 5, 1 },</div>
+<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  { 64, 8, 1 },</div>
+<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  { 100, 10, 1 },</div>
+<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  { 144, 12, 1 }, };</div>
+<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> copy_A2[m][n];</div>
+<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> b2[4] = { 106.8, 177.2, 232.6, 279.2 };</div>
+<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  printf(<span class="stringliteral">"A2 = "</span>);</div>
+<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  <a class="code" href="matrix_8h.html#a82f374a9b8b215f0ef53d35401eae524">matrix_flex_print</a>(m, n, A2, 3, 1);</div>
+<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  </div>
+<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  puts(<span class="stringliteral">"Moore Penrose: "</span>);</div>
+<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  algo = <a class="code" href="pseudo__inverse_8h.html#aeead1612e2f846fe32e4c50e1ab3d7c3ae835310f82eb01d07137e72133cd5b06">Moore_Penrose</a>;</div>
+<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  <a class="code" href="matrix_8h.html#ae8d8daa117e9f96a5e29fe6c76c4998c">matrix_copy</a>(m, n, A2, copy_A2);</div>
+<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  error_no = <a class="code" href="solve_8h.html#a829e66492dc3073c0f7a190cda9b7db1">solve</a>(m, n, copy_A2, b2, x, algo);</div>
+<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  </div>
+<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  <span class="keywordflow">if</span> (error_no > 0) {</div>
+<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  printf(<span class="stringliteral">"x2 = "</span>);</div>
+<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  <a class="code" href="vector_8h.html#ab2827264910e858f238868695a92db4b">vector_flex_print</a>(n, x, 3, 4);</div>
+<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  }</div>
+<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  </div>
+<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  puts(<span class="stringliteral">"Householder: "</span>);</div>
+<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  algo = <a class="code" href="pseudo__inverse_8h.html#aeead1612e2f846fe32e4c50e1ab3d7c3a9db08339065f28367b9ae058d1127a04">Householder</a>;</div>
+<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  <a class="code" href="matrix_8h.html#ae8d8daa117e9f96a5e29fe6c76c4998c">matrix_copy</a>(m, n, A2, copy_A2);</div>
+<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  error_no = <a class="code" href="solve_8h.html#a829e66492dc3073c0f7a190cda9b7db1">solve</a>(m, n, copy_A2, b2, x, algo);</div>
+<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  </div>
+<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  <span class="keywordflow">if</span> (error_no > 0) {</div>
+<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  printf(<span class="stringliteral">"x2 = "</span>);</div>
+<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  <a class="code" href="vector_8h.html#ab2827264910e858f238868695a92db4b">vector_flex_print</a>(n, x, 3, 4);</div>
+<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  }</div>
+<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  </div>
+<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  puts(<span class="stringliteral">"Givens: "</span>);</div>
+<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  algo = <a class="code" href="pseudo__inverse_8h.html#aeead1612e2f846fe32e4c50e1ab3d7c3aab4d4fdd6aa659e7306fa9abf3d0a991">Givens</a>;</div>
+<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  <a class="code" href="matrix_8h.html#ae8d8daa117e9f96a5e29fe6c76c4998c">matrix_copy</a>(m, n, A2, copy_A2);</div>
+<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  error_no = <a class="code" href="solve_8h.html#a829e66492dc3073c0f7a190cda9b7db1">solve</a>(m, n, copy_A2, b2, x, algo);</div>
+<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  </div>
+<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  <span class="keywordflow">if</span> (error_no > 0) {</div>
+<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  printf(<span class="stringliteral">"x2 = "</span>);</div>
+<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  <a class="code" href="vector_8h.html#ab2827264910e858f238868695a92db4b">vector_flex_print</a>(n, x, 3, 4);</div>
+<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  }</div>
+<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  </div>
+<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  puts(<span class="stringliteral">"******* Underdetermined system *******"</span>);</div>
+<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  m = 3;</div>
+<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  n = 4;</div>
+<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A3[3][4] = { { 2, -4, 2, -14 },</div>
+<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  { -1, 2, -2, 11 },</div>
+<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  { -1, 2, -1, 7 } };</div>
+<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> copy_A3[m][n];</div>
+<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> b3[3] = { 10, -6, -5 };</div>
+<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  printf(<span class="stringliteral">"A3 = "</span>);</div>
+<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>  <a class="code" href="matrix_8h.html#a82f374a9b8b215f0ef53d35401eae524">matrix_flex_print</a>(m, n, A3, 3, 1);</div>
+<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>  </div>
+<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>  puts(<span class="stringliteral">"Moore Penrose: "</span>);</div>
+<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>  algo = <a class="code" href="pseudo__inverse_8h.html#aeead1612e2f846fe32e4c50e1ab3d7c3ae835310f82eb01d07137e72133cd5b06">Moore_Penrose</a>;</div>
+<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>  <a class="code" href="matrix_8h.html#ae8d8daa117e9f96a5e29fe6c76c4998c">matrix_copy</a>(m, n, A3, copy_A3);</div>
+<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  error_no = <a class="code" href="solve_8h.html#a829e66492dc3073c0f7a190cda9b7db1">solve</a>(m, n, A3, b3, x, algo);</div>
+<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>  </div>
+<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  <span class="keywordflow">if</span> (error_no > 0) {</div>
+<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  printf(<span class="stringliteral">"x3 = "</span>);</div>
+<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  <a class="code" href="vector_8h.html#ab2827264910e858f238868695a92db4b">vector_flex_print</a>(n, x, 3, 4);</div>
+<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>  }</div>
+<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  </div>
+<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>  puts(<span class="stringliteral">"Householder: "</span>);</div>
+<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>  algo = <a class="code" href="pseudo__inverse_8h.html#aeead1612e2f846fe32e4c50e1ab3d7c3a9db08339065f28367b9ae058d1127a04">Householder</a>;</div>
+<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>  <a class="code" href="matrix_8h.html#ae8d8daa117e9f96a5e29fe6c76c4998c">matrix_copy</a>(m, n, A3, copy_A3);</div>
+<div class="line"><a name="l00166"></a><span class="lineno"> 166</span>  error_no = <a class="code" href="solve_8h.html#a829e66492dc3073c0f7a190cda9b7db1">solve</a>(m, n, copy_A3, b3, x, algo);</div>
+<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>  </div>
+<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>  <span class="keywordflow">if</span> (error_no > 0) {</div>
+<div class="line"><a name="l00169"></a><span class="lineno"> 169</span>  printf(<span class="stringliteral">"x3 = "</span>);</div>
+<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>  <a class="code" href="vector_8h.html#ab2827264910e858f238868695a92db4b">vector_flex_print</a>(n, x, 3, 4);</div>
+<div class="line"><a name="l00171"></a><span class="lineno"> 171</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>  }</div>
+<div class="line"><a name="l00173"></a><span class="lineno"> 173</span>  </div>
+<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>  puts(<span class="stringliteral">"Givens: "</span>);</div>
+<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>  algo = <a class="code" href="pseudo__inverse_8h.html#aeead1612e2f846fe32e4c50e1ab3d7c3aab4d4fdd6aa659e7306fa9abf3d0a991">Givens</a>;</div>
+<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>  <a class="code" href="matrix_8h.html#ae8d8daa117e9f96a5e29fe6c76c4998c">matrix_copy</a>(m, n, A3, copy_A3);</div>
+<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>  error_no = <a class="code" href="solve_8h.html#a829e66492dc3073c0f7a190cda9b7db1">solve</a>(m, n, copy_A3, b3, x, algo);</div>
+<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>  </div>
+<div class="line"><a name="l00179"></a><span class="lineno"> 179</span>  <span class="keywordflow">if</span> (error_no > 0) {</div>
+<div class="line"><a name="l00180"></a><span class="lineno"> 180</span>  printf(<span class="stringliteral">"x3 = "</span>);</div>
+<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>  <a class="code" href="vector_8h.html#ab2827264910e858f238868695a92db4b">vector_flex_print</a>(n, x, 3, 4);</div>
+<div class="line"><a name="l00182"></a><span class="lineno"> 182</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>  }</div>
+<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>  </div>
+<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>  puts(<span class="stringliteral">"*** Test: Solve with LU decomposition ***"</span>);</div>
+<div class="line"><a name="l00186"></a><span class="lineno"> 186</span>  algo = <a class="code" href="pseudo__inverse_8h.html#aeead1612e2f846fe32e4c50e1ab3d7c3ab15a7891aa5223439e4692a1048cb220">Gauss</a>;</div>
+<div class="line"><a name="l00187"></a><span class="lineno"> 187</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A4[5][5] = {</div>
+<div class="line"><a name="l00188"></a><span class="lineno"> 188</span>  { 0.1712, 0.0971, 0.0344, 0.1869, 0.7547 },</div>
+<div class="line"><a name="l00189"></a><span class="lineno"> 189</span>  { 0.7060, 0.8235, 0.4387, 0.4898, 0.2760 },</div>
+<div class="line"><a name="l00190"></a><span class="lineno"> 190</span>  { 0.0318, 0.6948, 0.3816, 0.4456, 0.6797 },</div>
+<div class="line"><a name="l00191"></a><span class="lineno"> 191</span>  { 0.2769, 0.3171, 0.7655, 0.6463, 0.6551 },</div>
+<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>  { 0.0462, 0.9502, 0.7952, 0.7094, 0.1626 }</div>
+<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>  };</div>
+<div class="line"><a name="l00194"></a><span class="lineno"> 194</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> x4[5];</div>
+<div class="line"><a name="l00195"></a><span class="lineno"> 195</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> b4[5] = { 0.1190, 0.4984, 0.9597, 0.3404, 0.5853 };</div>
+<div class="line"><a name="l00196"></a><span class="lineno"> 196</span>  </div>
+<div class="line"><a name="l00197"></a><span class="lineno"> 197</span>  m = 5;</div>
+<div class="line"><a name="l00198"></a><span class="lineno"> 198</span>  n = 5;</div>
+<div class="line"><a name="l00199"></a><span class="lineno"> 199</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> copy_A4[m][m];</div>
+<div class="line"><a name="l00200"></a><span class="lineno"> 200</span>  <a class="code" href="matrix_8h.html#ae8d8daa117e9f96a5e29fe6c76c4998c">matrix_copy</a>(m, n, A4, copy_A4);</div>
+<div class="line"><a name="l00201"></a><span class="lineno"> 201</span>  error_no = <a class="code" href="solve_8h.html#a829e66492dc3073c0f7a190cda9b7db1">solve</a>(m, n, copy_A4, b4, x4, algo);</div>
+<div class="line"><a name="l00202"></a><span class="lineno"> 202</span>  </div>
+<div class="line"><a name="l00203"></a><span class="lineno"> 203</span>  <span class="keywordflow">if</span> (error_no > 0) {</div>
+<div class="line"><a name="l00204"></a><span class="lineno"> 204</span>  printf(<span class="stringliteral">"x4 = "</span>);</div>
+<div class="line"><a name="l00205"></a><span class="lineno"> 205</span>  <a class="code" href="vector_8h.html#ab2827264910e858f238868695a92db4b">vector_flex_print</a>(n, x4, 3, 4);</div>
+<div class="line"><a name="l00206"></a><span class="lineno"> 206</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00207"></a><span class="lineno"> 207</span>  }</div>
+<div class="line"><a name="l00208"></a><span class="lineno"> 208</span>  </div>
+<div class="line"><a name="l00209"></a><span class="lineno"> 209</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> dot_b4[5];</div>
+<div class="line"><a name="l00210"></a><span class="lineno"> 210</span>  <a class="code" href="matrix_8h.html#ad610bcce232c69ca302550f57b1ad9fb">matrix_mul_vec</a>(m, m, A4, x4, dot_b4);</div>
+<div class="line"><a name="l00211"></a><span class="lineno"> 211</span>  printf(<span class="stringliteral">"dot_b4 = "</span>);</div>
+<div class="line"><a name="l00212"></a><span class="lineno"> 212</span>  <a class="code" href="vector_8h.html#ab2827264910e858f238868695a92db4b">vector_flex_print</a>(n, dot_b4, 3, 4);</div>
+<div class="line"><a name="l00213"></a><span class="lineno"> 213</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00214"></a><span class="lineno"> 214</span> }</div>
+<div class="line"><a name="l00215"></a><span class="lineno"> 215</span>  </div>
+<div class="line"><a name="l00216"></a><span class="lineno"><a class="line" href="solve__test_8c.html#acb6c59801ca040ac66f436b8f332a371"> 216</a></span> <span class="keywordtype">void</span> <a class="code" href="solve__test_8c.html#acb6c59801ca040ac66f436b8f332a371">solve_big_matrix_test</a>(<span class="keywordtype">void</span>)</div>
+<div class="line"><a name="l00217"></a><span class="lineno"> 217</span> {</div>
+<div class="line"><a name="l00218"></a><span class="lineno"> 218</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[10][5] = { { 0.8147, 0.1576, 0.6557, 0.7060, 0.4387 },</div>
+<div class="line"><a name="l00219"></a><span class="lineno"> 219</span>  { 0.9058, 0.9706, 0.0357, 0.0318, 0.3816 },</div>
+<div class="line"><a name="l00220"></a><span class="lineno"> 220</span>  { 0.1270, 0.9572, 0.8491, 0.2769, 0.7655 },</div>
+<div class="line"><a name="l00221"></a><span class="lineno"> 221</span>  { 0.9134, 0.4854, 0.9340, 0.0462, 0.7952 },</div>
+<div class="line"><a name="l00222"></a><span class="lineno"> 222</span>  { 0.6324, 0.8003, 0.6787, 0.0971, 0.1869 },</div>
+<div class="line"><a name="l00223"></a><span class="lineno"> 223</span>  { 0.0975, 0.1419, 0.7577, 0.8235, 0.4898 },</div>
+<div class="line"><a name="l00224"></a><span class="lineno"> 224</span>  { 0.2785, 0.4218, 0.7431, 0.6948, 0.4456 },</div>
+<div class="line"><a name="l00225"></a><span class="lineno"> 225</span>  { 0.5469, 0.9157, 0.3922, 0.3171, 0.6463 },</div>
+<div class="line"><a name="l00226"></a><span class="lineno"> 226</span>  { 0.9575, 0.7922, 0.6555, 0.9502, 0.7094 },</div>
+<div class="line"><a name="l00227"></a><span class="lineno"> 227</span>  { 0.9649, 0.9595, 0.1712, 0.0344, 0.7547 } };</div>
+<div class="line"><a name="l00228"></a><span class="lineno"> 228</span>  uint8_t m = 10, n = 5;</div>
+<div class="line"><a name="l00229"></a><span class="lineno"> 229</span>  int8_t error_no;</div>
+<div class="line"><a name="l00230"></a><span class="lineno"> 230</span>  <span class="keyword">enum</span> <a class="code" href="pseudo__inverse_8h.html#aeead1612e2f846fe32e4c50e1ab3d7c3">ALGORITHM</a> algo;</div>
+<div class="line"><a name="l00231"></a><span class="lineno"> 231</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> copy_A[m][n];</div>
+<div class="line"><a name="l00232"></a><span class="lineno"> 232</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> b[10] = { 1.2902, 0.8819, 0.9721, 1.2347, 0.9185, 0.9844, 1.0627,</div>
+<div class="line"><a name="l00233"></a><span class="lineno"> 233</span>  1.0280, 1.7283, 1.0618 };</div>
+<div class="line"><a name="l00234"></a><span class="lineno"> 234</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> x[n];</div>
+<div class="line"><a name="l00235"></a><span class="lineno"> 235</span>  </div>
+<div class="line"><a name="l00236"></a><span class="lineno"> 236</span>  printf(<span class="stringliteral">"A = "</span>);</div>
+<div class="line"><a name="l00237"></a><span class="lineno"> 237</span>  <a class="code" href="matrix_8h.html#a82f374a9b8b215f0ef53d35401eae524">matrix_flex_print</a>(m, n, A, 3, 4);</div>
+<div class="line"><a name="l00238"></a><span class="lineno"> 238</span>  </div>
+<div class="line"><a name="l00239"></a><span class="lineno"> 239</span>  puts(<span class="stringliteral">"Moore Penrose: "</span>);</div>
+<div class="line"><a name="l00240"></a><span class="lineno"> 240</span>  algo = <a class="code" href="pseudo__inverse_8h.html#aeead1612e2f846fe32e4c50e1ab3d7c3ae835310f82eb01d07137e72133cd5b06">Moore_Penrose</a>;</div>
+<div class="line"><a name="l00241"></a><span class="lineno"> 241</span>  <a class="code" href="matrix_8h.html#ae8d8daa117e9f96a5e29fe6c76c4998c">matrix_copy</a>(m, n, A, copy_A);</div>
+<div class="line"><a name="l00242"></a><span class="lineno"> 242</span>  error_no = <a class="code" href="solve_8h.html#a829e66492dc3073c0f7a190cda9b7db1">solve</a>(m, n, copy_A, b, x, algo);</div>
+<div class="line"><a name="l00243"></a><span class="lineno"> 243</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00244"></a><span class="lineno"> 244</span>  </div>
+<div class="line"><a name="l00245"></a><span class="lineno"> 245</span>  <span class="keywordflow">if</span> (error_no > 0) {</div>
+<div class="line"><a name="l00246"></a><span class="lineno"> 246</span>  printf(<span class="stringliteral">"x = "</span>);</div>
+<div class="line"><a name="l00247"></a><span class="lineno"> 247</span>  <a class="code" href="vector_8h.html#ab2827264910e858f238868695a92db4b">vector_flex_print</a>(n, x, 3, 4);</div>
+<div class="line"><a name="l00248"></a><span class="lineno"> 248</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00249"></a><span class="lineno"> 249</span>  }</div>
+<div class="line"><a name="l00250"></a><span class="lineno"> 250</span>  </div>
+<div class="line"><a name="l00251"></a><span class="lineno"> 251</span>  puts(<span class="stringliteral">"Householder: "</span>);</div>
+<div class="line"><a name="l00252"></a><span class="lineno"> 252</span>  algo = <a class="code" href="pseudo__inverse_8h.html#aeead1612e2f846fe32e4c50e1ab3d7c3a9db08339065f28367b9ae058d1127a04">Householder</a>;</div>
+<div class="line"><a name="l00253"></a><span class="lineno"> 253</span>  <a class="code" href="matrix_8h.html#ae8d8daa117e9f96a5e29fe6c76c4998c">matrix_copy</a>(m, n, A, copy_A);</div>
+<div class="line"><a name="l00254"></a><span class="lineno"> 254</span>  error_no = <a class="code" href="solve_8h.html#a829e66492dc3073c0f7a190cda9b7db1">solve</a>(m, n, copy_A, b, x, algo);</div>
+<div class="line"><a name="l00255"></a><span class="lineno"> 255</span>  </div>
+<div class="line"><a name="l00256"></a><span class="lineno"> 256</span>  <span class="keywordflow">if</span> (error_no > 0) {</div>
+<div class="line"><a name="l00257"></a><span class="lineno"> 257</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00258"></a><span class="lineno"> 258</span>  printf(<span class="stringliteral">"x = "</span>);</div>
+<div class="line"><a name="l00259"></a><span class="lineno"> 259</span>  <a class="code" href="vector_8h.html#ab2827264910e858f238868695a92db4b">vector_flex_print</a>(n, x, 3, 4);</div>
+<div class="line"><a name="l00260"></a><span class="lineno"> 260</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00261"></a><span class="lineno"> 261</span>  }</div>
+<div class="line"><a name="l00262"></a><span class="lineno"> 262</span>  </div>
+<div class="line"><a name="l00263"></a><span class="lineno"> 263</span>  puts(<span class="stringliteral">"Givens: "</span>);</div>
+<div class="line"><a name="l00264"></a><span class="lineno"> 264</span>  algo = <a class="code" href="pseudo__inverse_8h.html#aeead1612e2f846fe32e4c50e1ab3d7c3aab4d4fdd6aa659e7306fa9abf3d0a991">Givens</a>;</div>
+<div class="line"><a name="l00265"></a><span class="lineno"> 265</span>  <a class="code" href="matrix_8h.html#ae8d8daa117e9f96a5e29fe6c76c4998c">matrix_copy</a>(m, n, A, copy_A);</div>
+<div class="line"><a name="l00266"></a><span class="lineno"> 266</span>  error_no = <a class="code" href="solve_8h.html#a829e66492dc3073c0f7a190cda9b7db1">solve</a>(m, n, copy_A, b, x, algo);</div>
+<div class="line"><a name="l00267"></a><span class="lineno"> 267</span>  </div>
+<div class="line"><a name="l00268"></a><span class="lineno"> 268</span>  <span class="keywordflow">if</span> (error_no > 0) {</div>
+<div class="line"><a name="l00269"></a><span class="lineno"> 269</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00270"></a><span class="lineno"> 270</span>  printf(<span class="stringliteral">"x = "</span>);</div>
+<div class="line"><a name="l00271"></a><span class="lineno"> 271</span>  <a class="code" href="vector_8h.html#ab2827264910e858f238868695a92db4b">vector_flex_print</a>(n, x, 3, 4);</div>
+<div class="line"><a name="l00272"></a><span class="lineno"> 272</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00273"></a><span class="lineno"> 273</span>  }</div>
+<div class="line"><a name="l00274"></a><span class="lineno"> 274</span> }</div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="amatrix_8h_html_ad610bcce232c69ca302550f57b1ad9fb"><div class="ttname"><a href="matrix_8h.html#ad610bcce232c69ca302550f57b1ad9fb">matrix_mul_vec</a></div><div class="ttdeci">void matrix_mul_vec(uint8_t m, uint8_t n, matrix_t matrix[m][n], matrix_t vec[n], matrix_t dst_arr[m])</div><div class="ttdoc">Compute the multiplication of a matrix with a column vector.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00434">matrix.c:434</a></div></div>
+<div class="ttc" id="apseudo__inverse_8h_html_aeead1612e2f846fe32e4c50e1ab3d7c3aab4d4fdd6aa659e7306fa9abf3d0a991"><div class="ttname"><a href="pseudo__inverse_8h.html#aeead1612e2f846fe32e4c50e1ab3d7c3aab4d4fdd6aa659e7306fa9abf3d0a991">Givens</a></div><div class="ttdoc">Givens algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="pseudo__inverse_8h_source.html#l00033">pseudo_inverse.h:33</a></div></div>
+<div class="ttc" id="asolve__test_8c_html_acb6c59801ca040ac66f436b8f332a371"><div class="ttname"><a href="solve__test_8c.html#acb6c59801ca040ac66f436b8f332a371">solve_big_matrix_test</a></div><div class="ttdeci">void solve_big_matrix_test(void)</div><div class="ttdoc">Example of solving an (10,5) linear equation system.</div><div class="ttdef"><b>Definition:</b> <a href="solve__test_8c_source.html#l00216">solve_test.c:216</a></div></div>
+<div class="ttc" id="avector_8h_html_ab2827264910e858f238868695a92db4b"><div class="ttname"><a href="vector_8h.html#ab2827264910e858f238868695a92db4b">vector_flex_print</a></div><div class="ttdeci">void vector_flex_print(uint32_t length, vector_t arr[], uint8_t before_dot, uint8_t after_dot)</div><div class="ttdoc">Display the values of the vector's elements.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00284">vector.c:284</a></div></div>
+<div class="ttc" id="apseudo__inverse_8h_html_aeead1612e2f846fe32e4c50e1ab3d7c3ae835310f82eb01d07137e72133cd5b06"><div class="ttname"><a href="pseudo__inverse_8h.html#aeead1612e2f846fe32e4c50e1ab3d7c3ae835310f82eb01d07137e72133cd5b06">Moore_Penrose</a></div><div class="ttdoc">Moore–Penrose algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="pseudo__inverse_8h_source.html#l00031">pseudo_inverse.h:31</a></div></div>
+<div class="ttc" id="asolve_8h_html"><div class="ttname"><a href="solve_8h.html">solve.h</a></div><div class="ttdoc">Enables to solve systems of linear equations Ax = b for x.</div></div>
+<div class="ttc" id="amatrix_8h_html"><div class="ttname"><a href="matrix_8h.html">matrix.h</a></div><div class="ttdoc">Matrix computations.</div></div>
+<div class="ttc" id="amatrix_8h_html_a82f374a9b8b215f0ef53d35401eae524"><div class="ttname"><a href="matrix_8h.html#a82f374a9b8b215f0ef53d35401eae524">matrix_flex_print</a></div><div class="ttdeci">void matrix_flex_print(uint8_t m, uint8_t n, matrix_t matrix[m][n], uint8_t before_dec, uint8_t after_dec)</div><div class="ttdoc">Display the values of the matrix elements.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00220">matrix.c:220</a></div></div>
+<div class="ttc" id="apseudo__inverse_8h_html_aeead1612e2f846fe32e4c50e1ab3d7c3a9db08339065f28367b9ae058d1127a04"><div class="ttname"><a href="pseudo__inverse_8h.html#aeead1612e2f846fe32e4c50e1ab3d7c3a9db08339065f28367b9ae058d1127a04">Householder</a></div><div class="ttdoc">Householder algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="pseudo__inverse_8h_source.html#l00032">pseudo_inverse.h:32</a></div></div>
+<div class="ttc" id="apseudo__inverse_8h_html_aeead1612e2f846fe32e4c50e1ab3d7c3"><div class="ttname"><a href="pseudo__inverse_8h.html#aeead1612e2f846fe32e4c50e1ab3d7c3">ALGORITHM</a></div><div class="ttdeci">ALGORITHM</div><div class="ttdoc">Possible algorithms to compute the pseudo-inverse matrix.</div><div class="ttdef"><b>Definition:</b> <a href="pseudo__inverse_8h_source.html#l00030">pseudo_inverse.h:30</a></div></div>
+<div class="ttc" id="asolve_8h_html_a829e66492dc3073c0f7a190cda9b7db1"><div class="ttname"><a href="solve_8h.html#a829e66492dc3073c0f7a190cda9b7db1">solve</a></div><div class="ttdeci">int8_t solve(uint8_t m, uint8_t n, matrix_t A[][n], matrix_t b[m], matrix_t x_sol[n], enum ALGORITHM algo)</div><div class="ttdoc">Solve an (m n) linear system Ax = b by using the Moore–Penrose, Householder, or the Givens algorithm...</div><div class="ttdef"><b>Definition:</b> <a href="solve_8c_source.html#l00035">solve.c:35</a></div></div>
+<div class="ttc" id="apseudo__inverse_8h_html_aeead1612e2f846fe32e4c50e1ab3d7c3ab15a7891aa5223439e4692a1048cb220"><div class="ttname"><a href="pseudo__inverse_8h.html#aeead1612e2f846fe32e4c50e1ab3d7c3ab15a7891aa5223439e4692a1048cb220">Gauss</a></div><div class="ttdoc">Gaussian elimination with pivoting algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="pseudo__inverse_8h_source.html#l00034">pseudo_inverse.h:34</a></div></div>
+<div class="ttc" id="amatrix_8h_html_ae8d8daa117e9f96a5e29fe6c76c4998c"><div class="ttname"><a href="matrix_8h.html#ae8d8daa117e9f96a5e29fe6c76c4998c">matrix_copy</a></div><div class="ttdeci">void matrix_copy(uint8_t m, uint8_t n, matrix_t src_matrix[m][n], matrix_t dest_matrix[m][n])</div><div class="ttdoc">Copy the elements of a matrix to another matrix.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00083">matrix.c:83</a></div></div>
+<div class="ttc" id="asolve__test_8c_html_a468b4492daa139d24a18624526001220"><div class="ttname"><a href="solve__test_8c.html#a468b4492daa139d24a18624526001220">solve_test</a></div><div class="ttdeci">void solve_test(void)</div><div class="ttdoc">Examples of solving linear equation systems.</div><div class="ttdef"><b>Definition:</b> <a href="solve__test_8c_source.html#l00029">solve_test.c:29</a></div></div>
+<div class="ttc" id="amatrix_8h_html_af38ac6b76d645fea9abd6caeb4d9dd31"><div class="ttname"><a href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a></div><div class="ttdeci">#define matrix_t</div><div class="ttdoc">Define the data type of the matrix elements.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8h_source.html#l00038">matrix.h:38</a></div></div>
+<div class="ttc" id="avector_8h_html"><div class="ttname"><a href="vector_8h.html">vector.h</a></div><div class="ttdoc">Vector computations.</div></div>
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+ <li class="navelem"><a class="el" href="dir_d28a4824dc47e487b107a5db32ef43c4.html">examples</a></li><li class="navelem"><a class="el" href="dir_bb878afedbb83074fe4b7f6b65e06747.html">linear_algebra</a></li><li class="navelem"><a class="el" href="dir_c00c1b9b31ec8172d0e33f1bbb777699.html">solve_linear_equations</a></li><li class="navelem"><a class="el" href="solve__test_8c.html">solve_test.c</a></li>
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+ <div id="projectname">RcdMathLib_doc
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+</script>
+<div id="doc-content">
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+ onmouseover="return searchBox.OnSearchSelectShow()"
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+<div class="header">
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+<a href="#func-members">Functions</a> </div>
+ <div class="headertitle">
+<div class="title">solve_test.h File Reference<div class="ingroups"><a class="el" href="group__examples.html">EXAMPLES</a></div></div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Examples of solving linear equation systems.
+<a href="#details">More...</a></p>
+
+<p><a href="solve__test_8h_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a468b4492daa139d24a18624526001220"><td class="memItemLeft" align="right" valign="top"><a id="a468b4492daa139d24a18624526001220"></a>
+void </td><td class="memItemRight" valign="bottom"><a class="el" href="solve__test_8h.html#a468b4492daa139d24a18624526001220">solve_test</a> (void)</td></tr>
+<tr class="memdesc:a468b4492daa139d24a18624526001220"><td class="mdescLeft"> </td><td class="mdescRight">Examples of solving linear equation systems. <br /></td></tr>
+<tr class="separator:a468b4492daa139d24a18624526001220"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:acb6c59801ca040ac66f436b8f332a371"><td class="memItemLeft" align="right" valign="top"><a id="acb6c59801ca040ac66f436b8f332a371"></a>
+void </td><td class="memItemRight" valign="bottom"><a class="el" href="solve__test_8h.html#acb6c59801ca040ac66f436b8f332a371">solve_big_matrix_test</a> (void)</td></tr>
+<tr class="memdesc:acb6c59801ca040ac66f436b8f332a371"><td class="mdescLeft"> </td><td class="mdescRight">Example of solving an (10,5) linear equation system. <br /></td></tr>
+<tr class="separator:acb6c59801ca040ac66f436b8f332a371"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Examples of solving linear equation systems. </p>
+<p>Solving linear equation systems examples (see <a class="el" href="solve_8h.html">solve</a> functions).</p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="solve__test_8h_source.html">solve_test.h</a>.</p>
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+<div class="title">solve_test.h</div> </div>
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+<div class="contents">
+<a href="solve__test_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="preprocessor">#ifndef SOLVE_TEST_H_</span></div>
+<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#define SOLVE_TEST_H_</span></div>
+<div class="line"><a name="l00026"></a><span class="lineno"> 26</span>  </div>
+<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="keywordtype">void</span> <a class="code" href="solve__test_8h.html#a468b4492daa139d24a18624526001220">solve_test</a>(<span class="keywordtype">void</span>);</div>
+<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>  </div>
+<div class="line"><a name="l00037"></a><span class="lineno"> 37</span> <span class="keywordtype">void</span> <a class="code" href="solve__test_8h.html#acb6c59801ca040ac66f436b8f332a371">solve_big_matrix_test</a>(<span class="keywordtype">void</span>);</div>
+<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  </div>
+<div class="line"><a name="l00039"></a><span class="lineno"> 39</span> <span class="preprocessor">#endif </span><span class="comment">/* SOLVE_TEST_H_ */</span><span class="preprocessor"></span></div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="asolve__test_8h_html_acb6c59801ca040ac66f436b8f332a371"><div class="ttname"><a href="solve__test_8h.html#acb6c59801ca040ac66f436b8f332a371">solve_big_matrix_test</a></div><div class="ttdeci">void solve_big_matrix_test(void)</div><div class="ttdoc">Example of solving an (10,5) linear equation system.</div><div class="ttdef"><b>Definition:</b> <a href="solve__test_8c_source.html#l00216">solve_test.c:216</a></div></div>
+<div class="ttc" id="asolve__test_8h_html_a468b4492daa139d24a18624526001220"><div class="ttname"><a href="solve__test_8h.html#a468b4492daa139d24a18624526001220">solve_test</a></div><div class="ttdeci">void solve_test(void)</div><div class="ttdoc">Examples of solving linear equation systems.</div><div class="ttdef"><b>Definition:</b> <a href="solve__test_8c_source.html#l00029">solve_test.c:29</a></div></div>
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+<a href="#pub-attribs">Data Fields</a> </div>
+ <div class="headertitle">
+<div class="title">matrix_dim_t Struct Reference</div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>A structure to define the row and column number of a matrix.
+ <a href="structmatrix__dim__t.html#details">More...</a></p>
+
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+<tr class="memitem:aac6b6ff205184047714d5c22019bdbab"><td class="memItemLeft" align="right" valign="top"><a id="aac6b6ff205184047714d5c22019bdbab"></a>
+uint8_t </td><td class="memItemRight" valign="bottom"><a class="el" href="structmatrix__dim__t.html#aac6b6ff205184047714d5c22019bdbab">col_num</a></td></tr>
+<tr class="memdesc:aac6b6ff205184047714d5c22019bdbab"><td class="mdescLeft"> </td><td class="mdescRight">the column number <br /></td></tr>
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+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>A structure to define the row and column number of a matrix. </p>
+
+<p class="definition">Definition at line <a class="el" href="matrix_8h_source.html#l00060">60</a> of file <a class="el" href="matrix_8h_source.html">matrix.h</a>.</p>
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+<a href="#func-members">Functions</a> </div>
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+<div class="title">svd.c File Reference</div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Algorithm for the Singular Value Decomposition (SVD). Provide necessary methods to compute the compact SVD of a matrix. A = U*S*V, where U is a (m x l) orthogonal matrix, S is a (l x l) diagonal matrix, V is a (l x n) orthogonal matrix, and l = min(m,n). The SVD is computed by using the Golub–Kahan–Reinsch algorithm that works in two phases: bidiagonalization and a reduction to the diagonal form phase.
+<a href="#details">More...</a></p>
+<div class="textblock"><code>#include <stdbool.h></code><br />
+<code>#include <inttypes.h></code><br />
+<code>#include <math.h></code><br />
+<code>#include <string.h></code><br />
+<code>#include <stdio.h></code><br />
+<code>#include "<a class="el" href="svd_8h_source.html">svd.h</a>"</code><br />
+<code>#include "<a class="el" href="matrix_8h_source.html">matrix.h</a>"</code><br />
+<code>#include "<a class="el" href="vector_8h_source.html">vector.h</a>"</code><br />
+</div>
+<p><a href="svd_8c_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a8194826f85cc3105c4d8d4f342ca8df8"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="svd_8c.html#a8194826f85cc3105c4d8d4f342ca8df8">svd_get_U_dim</a> (uint8_t m, uint8_t n, <a class="el" href="structmatrix__dim__t.html">matrix_dim_t</a> *u_dim)</td></tr>
+<tr class="memdesc:a8194826f85cc3105c4d8d4f342ca8df8"><td class="mdescLeft"> </td><td class="mdescRight">Calculate the dimension of the matrix U. <a href="svd_8c.html#a8194826f85cc3105c4d8d4f342ca8df8">More...</a><br /></td></tr>
+<tr class="separator:a8194826f85cc3105c4d8d4f342ca8df8"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:aeb7ac3eac076a0f52c729849599808a6"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="svd_8c.html#aeb7ac3eac076a0f52c729849599808a6">svd_get_S_dim</a> (uint8_t m, uint8_t n, <a class="el" href="structmatrix__dim__t.html">matrix_dim_t</a> *s_dim)</td></tr>
+<tr class="memdesc:aeb7ac3eac076a0f52c729849599808a6"><td class="mdescLeft"> </td><td class="mdescRight">Calculate the dimension of the matrix S. <a href="svd_8c.html#aeb7ac3eac076a0f52c729849599808a6">More...</a><br /></td></tr>
+<tr class="separator:aeb7ac3eac076a0f52c729849599808a6"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:aa65fbd187ce13d0da98cecb40cfa3b07"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="svd_8c.html#aa65fbd187ce13d0da98cecb40cfa3b07">svd_get_V_dim</a> (uint8_t m, uint8_t n, <a class="el" href="structmatrix__dim__t.html">matrix_dim_t</a> *v_dim)</td></tr>
+<tr class="memdesc:aa65fbd187ce13d0da98cecb40cfa3b07"><td class="mdescLeft"> </td><td class="mdescRight">Calculate the dimension of the matrix V. <a href="svd_8c.html#aa65fbd187ce13d0da98cecb40cfa3b07">More...</a><br /></td></tr>
+<tr class="separator:aa65fbd187ce13d0da98cecb40cfa3b07"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a91b85e542b1fc44d3500ba52aecb8e0e"><td class="memItemLeft" align="right" valign="top">uint8_t </td><td class="memItemRight" valign="bottom"><a class="el" href="svd_8c.html#a91b85e542b1fc44d3500ba52aecb8e0e">svd_get_single_values_num</a> (uint8_t m, uint8_t n)</td></tr>
+<tr class="memdesc:a91b85e542b1fc44d3500ba52aecb8e0e"><td class="mdescLeft"> </td><td class="mdescRight">Calculate the number of the singular values. <a href="svd_8c.html#a91b85e542b1fc44d3500ba52aecb8e0e">More...</a><br /></td></tr>
+<tr class="separator:a91b85e542b1fc44d3500ba52aecb8e0e"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:acdccfce5b7732e6334ca5a521c57e63e"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="svd_8c.html#acdccfce5b7732e6334ca5a521c57e63e">svd</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[m][n], uint8_t u_m, uint8_t u_n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> U[u_m][u_n], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> S[u_n][n], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> V[n][n], uint8_t sing_vec_length, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> singl_values_vec[])</td></tr>
+<tr class="memdesc:acdccfce5b7732e6334ca5a521c57e63e"><td class="mdescLeft"> </td><td class="mdescRight">Compute the Singular-Value Decomposition (SVD) of a matrix. <a href="svd_8c.html#acdccfce5b7732e6334ca5a521c57e63e">More...</a><br /></td></tr>
+<tr class="separator:acdccfce5b7732e6334ca5a521c57e63e"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:ae92d53fe415ccfd63a21bb36936294cb"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="svd_8c.html#ae92d53fe415ccfd63a21bb36936294cb">svd_get_reciproc_singular_values</a> (uint8_t m, uint8_t n, uint8_t length, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> singl_values_arr[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> recip_singl_values_arr[])</td></tr>
+<tr class="memdesc:ae92d53fe415ccfd63a21bb36936294cb"><td class="mdescLeft"> </td><td class="mdescRight">Compute the reciprocal singular values. <a href="svd_8c.html#ae92d53fe415ccfd63a21bb36936294cb">More...</a><br /></td></tr>
+<tr class="separator:ae92d53fe415ccfd63a21bb36936294cb"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a55b4a07eb7dbd09f7fa1d15debd44595"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="svd_8c.html#a55b4a07eb7dbd09f7fa1d15debd44595">svd_compute_print_U_S_V_s</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix_arr[m][n], uint8_t i)</td></tr>
+<tr class="memdesc:a55b4a07eb7dbd09f7fa1d15debd44595"><td class="mdescLeft"> </td><td class="mdescRight">Compute and print the SVD of a matrix. <a href="svd_8c.html#a55b4a07eb7dbd09f7fa1d15debd44595">More...</a><br /></td></tr>
+<tr class="separator:a55b4a07eb7dbd09f7fa1d15debd44595"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Algorithm for the Singular Value Decomposition (SVD). Provide necessary methods to compute the compact SVD of a matrix. A = U*S*V, where U is a (m x l) orthogonal matrix, S is a (l x l) diagonal matrix, V is a (l x n) orthogonal matrix, and l = min(m,n). The SVD is computed by using the Golub–Kahan–Reinsch algorithm that works in two phases: bidiagonalization and a reduction to the diagonal form phase. </p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="svd_8c_source.html">svd.c</a>.</p>
+</div><h2 class="groupheader">Function Documentation</h2>
+<a id="acdccfce5b7732e6334ca5a521c57e63e"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#acdccfce5b7732e6334ca5a521c57e63e">◆ </a></span>svd()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void svd </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>A</em>[m][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>u_m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>u_n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>U</em>[u_m][u_n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>S</em>[u_n][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>V</em>[n][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>sing_vec_length</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>singl_values_vec</em>[] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute the Singular-Value Decomposition (SVD) of a matrix. </p>
+<p>Matrix A is transformed to A = U*S*V, where U and V are unitary matrices, and S is a diagonal matrix.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the matrix A. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix A. </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">A[][]</td><td>pointer to the matrix A. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">u_m</td><td>row number of the matrix U. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">u_n</td><td>column number of the matrix U. </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">U[][]</td><td>pointer to the matrix U. </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">S[][]</td><td>pointer to the matrix S. </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">V[][]</td><td>pointer to the matrix V. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">sing_vec_length</td><td>length of the singular vector. </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">singl_values_vec[]</td><td>pointer to the vector saving the singular values. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="svd_8c_source.html#l00119">119</a> of file <a class="el" href="svd_8c_source.html">svd.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="matrix_8c_source.html#l00752">matrix_get_two_norm()</a>, <a class="el" href="svd_8c_source.html#l00766">svd_compute_print_U_S_V_s()</a>, and <a class="el" href="trilateration_8c_source.html#l00149">trilateration_get_rank_and_homogeneous_solution()</a>.</p>
+
+</div>
+</div>
+<a id="a55b4a07eb7dbd09f7fa1d15debd44595"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a55b4a07eb7dbd09f7fa1d15debd44595">◆ </a></span>svd_compute_print_U_S_V_s()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void svd_compute_print_U_S_V_s </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>matrix_arr</em>[m][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>i</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute and print the SVD of a matrix. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the matrix to transform in SVD. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix to transform in SVD. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">matrix_arr[][]</td><td>pointer to the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">i</td><td>label. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="svd_8c_source.html#l00766">766</a> of file <a class="el" href="svd_8c_source.html">svd.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00062">matrix_dim_t::col_num</a>, <a class="el" href="matrix_8c_source.html#l00141">matrix_print()</a>, <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>, <a class="el" href="matrix_8h_source.html#l00061">matrix_dim_t::row_num</a>, <a class="el" href="svd_8c_source.html#l00119">svd()</a>, <a class="el" href="svd_8c_source.html#l00114">svd_get_single_values_num()</a>, and <a class="el" href="svd_8c_source.html#l00096">svd_get_U_dim()</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="svd__test_8c_source.html#l00032">svd_test()</a>.</p>
+
+</div>
+</div>
+<a id="ae92d53fe415ccfd63a21bb36936294cb"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#ae92d53fe415ccfd63a21bb36936294cb">◆ </a></span>svd_get_reciproc_singular_values()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void svd_get_reciproc_singular_values </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>length</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>singl_values_arr</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>recip_singl_values_arr</em>[] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute the reciprocal singular values. </p>
+<p>This method is based on the singular values.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the matrix to transform in SVD. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix to transform in SVD. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">length</td><td>length of the array of single values. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">singl_values_arr</td><td>pointer to the array of single values. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">recip_singl_values_arr</td><td>pointer to the array of the reciprocal singular values. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="svd_8c_source.html#l00747">747</a> of file <a class="el" href="svd_8c_source.html">svd.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>.</p>
+
+</div>
+</div>
+<a id="aeb7ac3eac076a0f52c729849599808a6"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#aeb7ac3eac076a0f52c729849599808a6">◆ </a></span>svd_get_S_dim()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void svd_get_S_dim </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="structmatrix__dim__t.html">matrix_dim_t</a> * </td>
+ <td class="paramname"><em>s_dim</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Calculate the dimension of the matrix S. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the matrix to decompose. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix to decompose. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">s_dim</td><td>pointer to the dimension struct. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="svd_8c_source.html#l00102">102</a> of file <a class="el" href="svd_8c_source.html">svd.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00061">matrix_dim_t::row_num</a>.</p>
+
+</div>
+</div>
+<a id="a91b85e542b1fc44d3500ba52aecb8e0e"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a91b85e542b1fc44d3500ba52aecb8e0e">◆ </a></span>svd_get_single_values_num()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">uint8_t svd_get_single_values_num </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Calculate the number of the singular values. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the matrix to decompose. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix to decompose.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the number of the singular values. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="svd_8c_source.html#l00114">114</a> of file <a class="el" href="svd_8c_source.html">svd.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="matrix_8c_source.html#l00752">matrix_get_two_norm()</a>, <a class="el" href="moore__penrose__pseudo__inverse_8c_source.html#l00038">moore_penrose_get_pinv()</a>, <a class="el" href="svd_8c_source.html#l00766">svd_compute_print_U_S_V_s()</a>, and <a class="el" href="trilateration_8c_source.html#l00149">trilateration_get_rank_and_homogeneous_solution()</a>.</p>
+
+</div>
+</div>
+<a id="a8194826f85cc3105c4d8d4f342ca8df8"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a8194826f85cc3105c4d8d4f342ca8df8">◆ </a></span>svd_get_U_dim()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void svd_get_U_dim </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="structmatrix__dim__t.html">matrix_dim_t</a> * </td>
+ <td class="paramname"><em>u_dim</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Calculate the dimension of the matrix U. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the matrix to decompose. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix to decompose. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">u_dim</td><td>pointer to the dimension struct. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="svd_8c_source.html#l00096">96</a> of file <a class="el" href="svd_8c_source.html">svd.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00062">matrix_dim_t::col_num</a>, and <a class="el" href="matrix_8h_source.html#l00061">matrix_dim_t::row_num</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="matrix_8c_source.html#l00752">matrix_get_two_norm()</a>, <a class="el" href="moore__penrose__pseudo__inverse_8c_source.html#l00038">moore_penrose_get_pinv()</a>, <a class="el" href="svd_8c_source.html#l00766">svd_compute_print_U_S_V_s()</a>, and <a class="el" href="trilateration_8c_source.html#l00149">trilateration_get_rank_and_homogeneous_solution()</a>.</p>
+
+</div>
+</div>
+<a id="aa65fbd187ce13d0da98cecb40cfa3b07"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#aa65fbd187ce13d0da98cecb40cfa3b07">◆ </a></span>svd_get_V_dim()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void svd_get_V_dim </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="structmatrix__dim__t.html">matrix_dim_t</a> * </td>
+ <td class="paramname"><em>v_dim</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Calculate the dimension of the matrix V. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the matrix to decompose. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix to decompose. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">v_dim</td><td>pointer to the dimension struct. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="svd_8c_source.html#l00108">108</a> of file <a class="el" href="svd_8c_source.html">svd.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00062">matrix_dim_t::col_num</a>, and <a class="el" href="matrix_8h_source.html#l00061">matrix_dim_t::row_num</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="navelem"><a class="el" href="dir_8c4128baa09a573ad2b8b8c0061a04c9.html">linear_algebra</a></li><li class="navelem"><a class="el" href="dir_997ac76a3d72a25dec85442c5f6c585d.html">matrix_decompositions</a></li><li class="navelem"><a class="el" href="svd_8c.html">svd.c</a></li>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
+ </ul>
+</div>
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+ [ "svd_compute_print_U_S_V_s", "svd_8c.html#a55b4a07eb7dbd09f7fa1d15debd44595", null ],
+ [ "svd_get_reciproc_singular_values", "svd_8c.html#ae92d53fe415ccfd63a21bb36936294cb", null ],
+ [ "svd_get_S_dim", "svd_8c.html#aeb7ac3eac076a0f52c729849599808a6", null ],
+ [ "svd_get_single_values_num", "svd_8c.html#a91b85e542b1fc44d3500ba52aecb8e0e", null ],
+ [ "svd_get_U_dim", "svd_8c.html#a8194826f85cc3105c4d8d4f342ca8df8", null ],
+ [ "svd_get_V_dim", "svd_8c.html#aa65fbd187ce13d0da98cecb40cfa3b07", null ]
+];
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+<!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">
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+<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 1.8.16"/>
+<meta name="viewport" content="width=device-width, initial-scale=1"/>
+<title>RcdMathLib_doc: svd.c Source File</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<link href="navtree.css" rel="stylesheet" type="text/css"/>
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+/* @license-end */</script>
+<link href="search/search.css" rel="stylesheet" type="text/css"/>
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+<table cellspacing="0" cellpadding="0">
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+ <tr style="height: 56px;">
+ <td id="projectalign" style="padding-left: 0.5em;">
+ <div id="projectname">RcdMathLib_doc
+ </div>
+ <div id="projectbrief">Open Source Library for Linear and Non-linear Algebra</div>
+ </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.16 -->
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+<div id="doc-content">
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
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+<div class="header">
+ <div class="headertitle">
+<div class="title">svd.c</div> </div>
+</div><!--header-->
+<div class="contents">
+<a href="svd_8c.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="preprocessor">#include <stdbool.h></span></div>
+<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="preprocessor">#include <inttypes.h></span></div>
+<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="preprocessor">#include <math.h></span></div>
+<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="preprocessor">#include <string.h></span></div>
+<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="preprocessor">#include <stdio.h></span></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="preprocessor">#include "<a class="code" href="svd_8h.html">svd.h</a>"</span></div>
+<div class="line"><a name="l00034"></a><span class="lineno"> 34</span> <span class="preprocessor">#include "<a class="code" href="matrix_8h.html">matrix.h</a>"</span></div>
+<div class="line"><a name="l00035"></a><span class="lineno"> 35</span> <span class="preprocessor">#include "<a class="code" href="vector_8h.html">vector.h</a>"</span></div>
+<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  </div>
+<div class="line"><a name="l00037"></a><span class="lineno"> 37</span> <span class="keyword">static</span> <span class="keywordtype">void</span> svd_bidiagonal_trans_and_store_diag_elem(uint8_t m, uint8_t n,</div>
+<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[m][n],</div>
+<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>  uint8_t u_m, uint8_t u_n,</div>
+<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> U0[u_m][u_n],</div>
+<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> V0[n][n],</div>
+<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> sup_diag_elem_vec[],</div>
+<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> diag_elem_vec[]</div>
+<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  );</div>
+<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  </div>
+<div class="line"><a name="l00046"></a><span class="lineno"> 46</span> <span class="keyword">static</span> <span class="keywordtype">void</span> svd_setup_bi_diagonal_matrix(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[m][n],</div>
+<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  uint8_t u_n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> U1[m][u_n],</div>
+<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> V1[n][n],</div>
+<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> sup_diag_elem_vec[],</div>
+<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> diag_elem_vec[]</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="keyword">static</span> <span class="keywordtype">void</span> svd_compute_singular_values_U_V(uint8_t m, uint8_t n, uint8_t u_n,</div>
+<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> U[m][u_n],</div>
+<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> V[n][n],</div>
+<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> sup_diag_elem_vec[],</div>
+<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> diag_elem_vec[]);</div>
+<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  </div>
+<div class="line"><a name="l00059"></a><span class="lineno"> 59</span> <span class="keyword">static</span> <span class="keywordtype">void</span> svd_generate_S(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> S[n][n],</div>
+<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  uint8_t sing_vec_length, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> singl_values_vec[]);</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="keyword">static</span> int32_t min(int32_t a, int32_t b)</div>
+<div class="line"><a name="l00063"></a><span class="lineno"> 63</span> {</div>
+<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  <span class="keywordflow">if</span> (a < b) {</div>
+<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  <span class="keywordflow">return</span> a;</div>
+<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  }</div>
+<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  <span class="keywordflow">else</span> {</div>
+<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  <span class="keywordflow">return</span> b;</div>
+<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  }</div>
+<div class="line"><a name="l00070"></a><span class="lineno"> 70</span> }</div>
+<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  </div>
+<div class="line"><a name="l00072"></a><span class="lineno"> 72</span> <span class="keyword">static</span> int32_t max(int32_t a, int32_t b)</div>
+<div class="line"><a name="l00073"></a><span class="lineno"> 73</span> {</div>
+<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  <span class="keywordflow">if</span> (a > b) {</div>
+<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  <span class="keywordflow">return</span> a;</div>
+<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  }</div>
+<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  <span class="keywordflow">else</span> {</div>
+<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  <span class="keywordflow">return</span> b;</div>
+<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  }</div>
+<div class="line"><a name="l00080"></a><span class="lineno"> 80</span> }</div>
+<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  </div>
+<div class="line"><a name="l00082"></a><span class="lineno"> 82</span> <span class="keyword">static</span> <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> get_abs_max(<a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> arr[], uint8_t length)</div>
+<div class="line"><a name="l00083"></a><span class="lineno"> 83</span> {</div>
+<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  uint8_t i;</div>
+<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> max = fabs(arr[0]);</div>
+<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  </div>
+<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  <span class="keywordflow">for</span> (i = 1; i < length; i++) {</div>
+<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  <span class="keywordflow">if</span> (fabs(arr[i]) > max) {</div>
+<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  max = fabs(arr[i]);</div>
+<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  }</div>
+<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  }</div>
+<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  </div>
+<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  <span class="keywordflow">return</span> max;</div>
+<div class="line"><a name="l00094"></a><span class="lineno"> 94</span> }</div>
+<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  </div>
+<div class="line"><a name="l00096"></a><span class="lineno"><a class="line" href="svd_8c.html#a8194826f85cc3105c4d8d4f342ca8df8"> 96</a></span> <span class="keywordtype">void</span> <a class="code" href="svd_8c.html#a8194826f85cc3105c4d8d4f342ca8df8">svd_get_U_dim</a>(uint8_t m, uint8_t n, <a class="code" href="structmatrix__dim__t.html">matrix_dim_t</a> *u_dim)</div>
+<div class="line"><a name="l00097"></a><span class="lineno"> 97</span> {</div>
+<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  u_dim-><a class="code" href="structmatrix__dim__t.html#a853244a0562d43bfdcdcb704ed707721">row_num</a> = m;</div>
+<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  u_dim-><a class="code" href="structmatrix__dim__t.html#aac6b6ff205184047714d5c22019bdbab">col_num</a> = min(m, n);</div>
+<div class="line"><a name="l00100"></a><span class="lineno"> 100</span> }</div>
+<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  </div>
+<div class="line"><a name="l00102"></a><span class="lineno"><a class="line" href="svd_8c.html#aeb7ac3eac076a0f52c729849599808a6"> 102</a></span> <span class="keywordtype">void</span> <a class="code" href="svd_8c.html#aeb7ac3eac076a0f52c729849599808a6">svd_get_S_dim</a>(uint8_t m, uint8_t n, <a class="code" href="structmatrix__dim__t.html">matrix_dim_t</a> *s_dim)</div>
+<div class="line"><a name="l00103"></a><span class="lineno"> 103</span> {</div>
+<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  s_dim-><a class="code" href="structmatrix__dim__t.html#a853244a0562d43bfdcdcb704ed707721">row_num</a> = min(m, n);</div>
+<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  s_dim-><a class="code" href="structmatrix__dim__t.html#aac6b6ff205184047714d5c22019bdbab">col_num</a> = n;</div>
+<div class="line"><a name="l00106"></a><span class="lineno"> 106</span> }</div>
+<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  </div>
+<div class="line"><a name="l00108"></a><span class="lineno"><a class="line" href="svd_8c.html#aa65fbd187ce13d0da98cecb40cfa3b07"> 108</a></span> <span class="keywordtype">void</span> <a class="code" href="svd_8c.html#aa65fbd187ce13d0da98cecb40cfa3b07">svd_get_V_dim</a>(uint8_t m, uint8_t n, <a class="code" href="structmatrix__dim__t.html">matrix_dim_t</a> *v_dim)</div>
+<div class="line"><a name="l00109"></a><span class="lineno"> 109</span> {</div>
+<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  v_dim-><a class="code" href="structmatrix__dim__t.html#a853244a0562d43bfdcdcb704ed707721">row_num</a> = m;</div>
+<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  v_dim-><a class="code" href="structmatrix__dim__t.html#aac6b6ff205184047714d5c22019bdbab">col_num</a> = n;</div>
+<div class="line"><a name="l00112"></a><span class="lineno"> 112</span> }</div>
+<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  </div>
+<div class="line"><a name="l00114"></a><span class="lineno"><a class="line" href="svd_8c.html#a91b85e542b1fc44d3500ba52aecb8e0e"> 114</a></span> uint8_t <a class="code" href="svd_8c.html#a91b85e542b1fc44d3500ba52aecb8e0e">svd_get_single_values_num</a>(uint8_t m, uint8_t n)</div>
+<div class="line"><a name="l00115"></a><span class="lineno"> 115</span> {</div>
+<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  <span class="keywordflow">return</span> min(m + 1, n);</div>
+<div class="line"><a name="l00117"></a><span class="lineno"> 117</span> }</div>
+<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  </div>
+<div class="line"><a name="l00119"></a><span class="lineno"><a class="line" href="svd_8c.html#acdccfce5b7732e6334ca5a521c57e63e"> 119</a></span> <span class="keywordtype">void</span> <a class="code" href="svd_8c.html#acdccfce5b7732e6334ca5a521c57e63e">svd</a>(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[m][n],</div>
+<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  uint8_t u_m, uint8_t u_n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> U[u_m][u_n],</div>
+<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> S[u_n][n], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> V[n][n],</div>
+<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  uint8_t sing_vec_length, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> singl_values_vec[])</div>
+<div class="line"><a name="l00123"></a><span class="lineno"> 123</span> {</div>
+<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  </div>
+<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  int8_t u_n_min = min(m, n);</div>
+<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> sup_diag_elem_vec[n];</div>
+<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  </div>
+<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  <a class="code" href="matrix_8h.html#a0e06b2cfb86340e88be7b1219bef0ce3">matrix_clear</a>(m, u_n_min, U);</div>
+<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  <a class="code" href="matrix_8h.html#a0e06b2cfb86340e88be7b1219bef0ce3">matrix_clear</a>(n, n, S);</div>
+<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  <a class="code" href="matrix_8h.html#a0e06b2cfb86340e88be7b1219bef0ce3">matrix_clear</a>(n, n, V);</div>
+<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  memset(singl_values_vec, 0, <span class="keyword">sizeof</span>(<a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a>) * sing_vec_length);</div>
+<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  </div>
+<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  svd_bidiagonal_trans_and_store_diag_elem(m, n, A, u_m, u_n, U, V,</div>
+<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  sup_diag_elem_vec, singl_values_vec);</div>
+<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  </div>
+<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  svd_setup_bi_diagonal_matrix(m, n, A, u_n, U, V, sup_diag_elem_vec,</div>
+<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  singl_values_vec);</div>
+<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  </div>
+<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  svd_compute_singular_values_U_V(m, n, u_n, U, V, sup_diag_elem_vec,</div>
+<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  singl_values_vec);</div>
+<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  </div>
+<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  svd_generate_S(u_n, n, S, sing_vec_length, singl_values_vec);</div>
+<div class="line"><a name="l00143"></a><span class="lineno"> 143</span> }</div>
+<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  </div>
+<div class="line"><a name="l00166"></a><span class="lineno"> 166</span> <span class="keyword">static</span> <span class="keywordtype">void</span> svd_bidiagonal_trans_and_store_diag_elem(uint8_t m, uint8_t n,</div>
+<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[m][n],</div>
+<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>  uint8_t u_m, uint8_t u_n,</div>
+<div class="line"><a name="l00169"></a><span class="lineno"> 169</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> U0[u_m][u_n],</div>
+<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> V0[n][n],</div>
+<div class="line"><a name="l00171"></a><span class="lineno"> 171</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> sup_diag_elem_vec[],</div>
+<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> diag_elem_vec[])</div>
+<div class="line"><a name="l00173"></a><span class="lineno"> 173</span> {</div>
+<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>  <span class="keywordtype">int</span> col_trans_num = min(m - 1, n);</div>
+<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>  <span class="keywordtype">int</span> row_trans_num = max(0, min(n - 2, m));</div>
+<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>  <span class="keywordtype">int</span> upper_lim = max(col_trans_num, row_trans_num);</div>
+<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>  </div>
+<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> index = 0; index < upper_lim; index++) {</div>
+<div class="line"><a name="l00179"></a><span class="lineno"> 179</span>  <span class="keywordflow">if</span> (index < col_trans_num) {</div>
+<div class="line"><a name="l00180"></a><span class="lineno"> 180</span>  diag_elem_vec[index] = 0;</div>
+<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> row_num = index; row_num < m; row_num++) {</div>
+<div class="line"><a name="l00182"></a><span class="lineno"> 182</span>  diag_elem_vec[index] = hypot(</div>
+<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>  diag_elem_vec[index],</div>
+<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>  A[row_num][index]);</div>
+<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>  }</div>
+<div class="line"><a name="l00186"></a><span class="lineno"> 186</span>  <span class="keywordflow">if</span> (diag_elem_vec[index] != 0.0) {</div>
+<div class="line"><a name="l00187"></a><span class="lineno"> 187</span>  <span class="keywordflow">if</span> (A[index][index] < 0.0) {</div>
+<div class="line"><a name="l00188"></a><span class="lineno"> 188</span>  diag_elem_vec[index] =</div>
+<div class="line"><a name="l00189"></a><span class="lineno"> 189</span>  -diag_elem_vec[index];</div>
+<div class="line"><a name="l00190"></a><span class="lineno"> 190</span>  }</div>
+<div class="line"><a name="l00191"></a><span class="lineno"> 191</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> row_num = index; row_num < m;</div>
+<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>  row_num++) {</div>
+<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>  A[row_num][index] /=</div>
+<div class="line"><a name="l00194"></a><span class="lineno"> 194</span>  diag_elem_vec[index];</div>
+<div class="line"><a name="l00195"></a><span class="lineno"> 195</span>  }</div>
+<div class="line"><a name="l00196"></a><span class="lineno"> 196</span>  A[index][index] += 1.0;</div>
+<div class="line"><a name="l00197"></a><span class="lineno"> 197</span>  }</div>
+<div class="line"><a name="l00198"></a><span class="lineno"> 198</span>  diag_elem_vec[index] = -diag_elem_vec[index];</div>
+<div class="line"><a name="l00199"></a><span class="lineno"> 199</span>  }</div>
+<div class="line"><a name="l00200"></a><span class="lineno"> 200</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> col_num = index + 1; col_num < n; col_num++) {</div>
+<div class="line"><a name="l00201"></a><span class="lineno"> 201</span>  <span class="keywordflow">if</span> ((index < col_trans_num)</div>
+<div class="line"><a name="l00202"></a><span class="lineno"> 202</span>  & (diag_elem_vec[index] != 0.0)) {</div>
+<div class="line"><a name="l00203"></a><span class="lineno"> 203</span>  </div>
+<div class="line"><a name="l00204"></a><span class="lineno"> 204</span>  <span class="comment">/* Transformation */</span></div>
+<div class="line"><a name="l00205"></a><span class="lineno"> 205</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> transf_val = 0;</div>
+<div class="line"><a name="l00206"></a><span class="lineno"> 206</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = index; i < m; i++) {</div>
+<div class="line"><a name="l00207"></a><span class="lineno"> 207</span>  transf_val += A[i][index]</div>
+<div class="line"><a name="l00208"></a><span class="lineno"> 208</span>  * A[i][col_num];</div>
+<div class="line"><a name="l00209"></a><span class="lineno"> 209</span>  }</div>
+<div class="line"><a name="l00210"></a><span class="lineno"> 210</span>  transf_val = -transf_val / A[index][index];</div>
+<div class="line"><a name="l00211"></a><span class="lineno"> 211</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = index; i < m; i++) {</div>
+<div class="line"><a name="l00212"></a><span class="lineno"> 212</span>  A[i][col_num] += transf_val</div>
+<div class="line"><a name="l00213"></a><span class="lineno"> 213</span>  * A[i][index];</div>
+<div class="line"><a name="l00214"></a><span class="lineno"> 214</span>  }</div>
+<div class="line"><a name="l00215"></a><span class="lineno"> 215</span>  }</div>
+<div class="line"><a name="l00216"></a><span class="lineno"> 216</span>  sup_diag_elem_vec[col_num] = A[index][col_num];</div>
+<div class="line"><a name="l00217"></a><span class="lineno"> 217</span>  }</div>
+<div class="line"><a name="l00218"></a><span class="lineno"> 218</span>  <span class="keywordflow">if</span> (index < col_trans_num) {</div>
+<div class="line"><a name="l00219"></a><span class="lineno"> 219</span>  </div>
+<div class="line"><a name="l00220"></a><span class="lineno"> 220</span>  <span class="comment">/* Place a part of the bi-diagonal transformation in U0 */</span></div>
+<div class="line"><a name="l00221"></a><span class="lineno"> 221</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> row_num = index; row_num < m; row_num++) {</div>
+<div class="line"><a name="l00222"></a><span class="lineno"> 222</span>  U0[row_num][index] = A[row_num][index];</div>
+<div class="line"><a name="l00223"></a><span class="lineno"> 223</span>  }</div>
+<div class="line"><a name="l00224"></a><span class="lineno"> 224</span>  }</div>
+<div class="line"><a name="l00225"></a><span class="lineno"> 225</span>  <span class="keywordflow">if</span> (index < row_trans_num) {</div>
+<div class="line"><a name="l00226"></a><span class="lineno"> 226</span>  sup_diag_elem_vec[index] = 0;</div>
+<div class="line"><a name="l00227"></a><span class="lineno"> 227</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = index + 1; i < n; i++) {</div>
+<div class="line"><a name="l00228"></a><span class="lineno"> 228</span>  sup_diag_elem_vec[index] = hypot(</div>
+<div class="line"><a name="l00229"></a><span class="lineno"> 229</span>  sup_diag_elem_vec[index],</div>
+<div class="line"><a name="l00230"></a><span class="lineno"> 230</span>  sup_diag_elem_vec[i]);</div>
+<div class="line"><a name="l00231"></a><span class="lineno"> 231</span>  }</div>
+<div class="line"><a name="l00232"></a><span class="lineno"> 232</span>  <span class="keywordflow">if</span> (sup_diag_elem_vec[index] != 0.0) {</div>
+<div class="line"><a name="l00233"></a><span class="lineno"> 233</span>  <span class="keywordflow">if</span> (sup_diag_elem_vec[index + 1] < 0.0) {</div>
+<div class="line"><a name="l00234"></a><span class="lineno"> 234</span>  sup_diag_elem_vec[index] =</div>
+<div class="line"><a name="l00235"></a><span class="lineno"> 235</span>  -sup_diag_elem_vec[index];</div>
+<div class="line"><a name="l00236"></a><span class="lineno"> 236</span>  }</div>
+<div class="line"><a name="l00237"></a><span class="lineno"> 237</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = index + 1; i < n; i++) {</div>
+<div class="line"><a name="l00238"></a><span class="lineno"> 238</span>  sup_diag_elem_vec[i] /=</div>
+<div class="line"><a name="l00239"></a><span class="lineno"> 239</span>  sup_diag_elem_vec[index];</div>
+<div class="line"><a name="l00240"></a><span class="lineno"> 240</span>  }</div>
+<div class="line"><a name="l00241"></a><span class="lineno"> 241</span>  sup_diag_elem_vec[index + 1] += 1.0;</div>
+<div class="line"><a name="l00242"></a><span class="lineno"> 242</span>  }</div>
+<div class="line"><a name="l00243"></a><span class="lineno"> 243</span>  sup_diag_elem_vec[index] = -sup_diag_elem_vec[index];</div>
+<div class="line"><a name="l00244"></a><span class="lineno"> 244</span>  <span class="keywordflow">if</span> ((index + 1 < m)</div>
+<div class="line"><a name="l00245"></a><span class="lineno"> 245</span>  & (sup_diag_elem_vec[index] != 0.0)) {</div>
+<div class="line"><a name="l00246"></a><span class="lineno"> 246</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> transf_vec[m];</div>
+<div class="line"><a name="l00247"></a><span class="lineno"> 247</span>  </div>
+<div class="line"><a name="l00248"></a><span class="lineno"> 248</span>  <span class="comment">/* Compute the transformation vector */</span></div>
+<div class="line"><a name="l00249"></a><span class="lineno"> 249</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = index + 1; i < m; i++) {</div>
+<div class="line"><a name="l00250"></a><span class="lineno"> 250</span>  transf_vec[i] = 0.0;</div>
+<div class="line"><a name="l00251"></a><span class="lineno"> 251</span>  }</div>
+<div class="line"><a name="l00252"></a><span class="lineno"> 252</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = index + 1; j < n; j++) {</div>
+<div class="line"><a name="l00253"></a><span class="lineno"> 253</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = index + 1; i < m; i++) {</div>
+<div class="line"><a name="l00254"></a><span class="lineno"> 254</span>  transf_vec[i] +=</div>
+<div class="line"><a name="l00255"></a><span class="lineno"> 255</span>  sup_diag_elem_vec[j]</div>
+<div class="line"><a name="l00256"></a><span class="lineno"> 256</span>  * A[i][j];</div>
+<div class="line"><a name="l00257"></a><span class="lineno"> 257</span>  }</div>
+<div class="line"><a name="l00258"></a><span class="lineno"> 258</span>  }</div>
+<div class="line"><a name="l00259"></a><span class="lineno"> 259</span>  </div>
+<div class="line"><a name="l00260"></a><span class="lineno"> 260</span>  <span class="comment">/* Reduce the matrix */</span></div>
+<div class="line"><a name="l00261"></a><span class="lineno"> 261</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> col_num = index + 1; col_num < n;</div>
+<div class="line"><a name="l00262"></a><span class="lineno"> 262</span>  col_num++) {</div>
+<div class="line"><a name="l00263"></a><span class="lineno"> 263</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> t =</div>
+<div class="line"><a name="l00264"></a><span class="lineno"> 264</span>  -sup_diag_elem_vec[col_num]</div>
+<div class="line"><a name="l00265"></a><span class="lineno"> 265</span>  / sup_diag_elem_vec[index</div>
+<div class="line"><a name="l00266"></a><span class="lineno"> 266</span>  + 1];</div>
+<div class="line"><a name="l00267"></a><span class="lineno"> 267</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> row_num = index + 1;</div>
+<div class="line"><a name="l00268"></a><span class="lineno"> 268</span>  row_num < m;</div>
+<div class="line"><a name="l00269"></a><span class="lineno"> 269</span>  row_num++) {</div>
+<div class="line"><a name="l00270"></a><span class="lineno"> 270</span>  A[row_num][col_num] +=</div>
+<div class="line"><a name="l00271"></a><span class="lineno"> 271</span>  t</div>
+<div class="line"><a name="l00272"></a><span class="lineno"> 272</span>  * transf_vec[row_num];</div>
+<div class="line"><a name="l00273"></a><span class="lineno"> 273</span>  }</div>
+<div class="line"><a name="l00274"></a><span class="lineno"> 274</span>  }</div>
+<div class="line"><a name="l00275"></a><span class="lineno"> 275</span>  }</div>
+<div class="line"><a name="l00276"></a><span class="lineno"> 276</span>  </div>
+<div class="line"><a name="l00277"></a><span class="lineno"> 277</span>  <span class="comment">/* Place a part of the bi-diagonal transformation in V0 */</span></div>
+<div class="line"><a name="l00278"></a><span class="lineno"> 278</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> row_num = index + 1; row_num < n; row_num++) {</div>
+<div class="line"><a name="l00279"></a><span class="lineno"> 279</span>  V0[row_num][index] = sup_diag_elem_vec[row_num];</div>
+<div class="line"><a name="l00280"></a><span class="lineno"> 280</span>  }</div>
+<div class="line"><a name="l00281"></a><span class="lineno"> 281</span>  }</div>
+<div class="line"><a name="l00282"></a><span class="lineno"> 282</span>  }</div>
+<div class="line"><a name="l00283"></a><span class="lineno"> 283</span> }</div>
+<div class="line"><a name="l00284"></a><span class="lineno"> 284</span>  </div>
+<div class="line"><a name="l00304"></a><span class="lineno"> 304</span> <span class="keyword">static</span> <span class="keywordtype">void</span> svd_setup_bi_diagonal_matrix(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[m][n],</div>
+<div class="line"><a name="l00305"></a><span class="lineno"> 305</span>  uint8_t u_n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> U1[m][u_n],</div>
+<div class="line"><a name="l00306"></a><span class="lineno"> 306</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> V1[n][n],</div>
+<div class="line"><a name="l00307"></a><span class="lineno"> 307</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> sup_diag_elem_vec[],</div>
+<div class="line"><a name="l00308"></a><span class="lineno"> 308</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> diag_elem_vec[])</div>
+<div class="line"><a name="l00309"></a><span class="lineno"> 309</span> {</div>
+<div class="line"><a name="l00310"></a><span class="lineno"> 310</span>  </div>
+<div class="line"><a name="l00311"></a><span class="lineno"> 311</span>  <span class="keywordtype">int</span> col_trans_num = min(m - 1, n);</div>
+<div class="line"><a name="l00312"></a><span class="lineno"> 312</span>  <span class="keywordtype">int</span> row_trans_num = max(0, min(n - 2, m));</div>
+<div class="line"><a name="l00313"></a><span class="lineno"> 313</span>  int8_t upp_col_num = min(m, n);</div>
+<div class="line"><a name="l00314"></a><span class="lineno"> 314</span>  <span class="keywordtype">int</span> p_index = min(n, m + 1);</div>
+<div class="line"><a name="l00315"></a><span class="lineno"> 315</span>  </div>
+<div class="line"><a name="l00316"></a><span class="lineno"> 316</span>  <span class="keywordflow">if</span> (col_trans_num < n) {</div>
+<div class="line"><a name="l00317"></a><span class="lineno"> 317</span>  diag_elem_vec[col_trans_num] = A[col_trans_num][col_trans_num];</div>
+<div class="line"><a name="l00318"></a><span class="lineno"> 318</span>  }</div>
+<div class="line"><a name="l00319"></a><span class="lineno"> 319</span>  <span class="keywordflow">if</span> (m < p_index) {</div>
+<div class="line"><a name="l00320"></a><span class="lineno"> 320</span>  diag_elem_vec[p_index - 1] = 0.0;</div>
+<div class="line"><a name="l00321"></a><span class="lineno"> 321</span>  }</div>
+<div class="line"><a name="l00322"></a><span class="lineno"> 322</span>  <span class="keywordflow">if</span> (row_trans_num + 1 < p_index) {</div>
+<div class="line"><a name="l00323"></a><span class="lineno"> 323</span>  sup_diag_elem_vec[row_trans_num] =</div>
+<div class="line"><a name="l00324"></a><span class="lineno"> 324</span>  A[row_trans_num][p_index - 1];</div>
+<div class="line"><a name="l00325"></a><span class="lineno"> 325</span>  }</div>
+<div class="line"><a name="l00326"></a><span class="lineno"> 326</span>  sup_diag_elem_vec[p_index - 1] = 0.0;</div>
+<div class="line"><a name="l00327"></a><span class="lineno"> 327</span>  </div>
+<div class="line"><a name="l00328"></a><span class="lineno"> 328</span>  <span class="comment">/* Generate the matrix U1 */</span></div>
+<div class="line"><a name="l00329"></a><span class="lineno"> 329</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = col_trans_num; j < upp_col_num; j++) {</div>
+<div class="line"><a name="l00330"></a><span class="lineno"> 330</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < m; i++) {</div>
+<div class="line"><a name="l00331"></a><span class="lineno"> 331</span>  U1[i][j] = 0.0;</div>
+<div class="line"><a name="l00332"></a><span class="lineno"> 332</span>  }</div>
+<div class="line"><a name="l00333"></a><span class="lineno"> 333</span>  U1[j][j] = 1.0;</div>
+<div class="line"><a name="l00334"></a><span class="lineno"> 334</span>  }</div>
+<div class="line"><a name="l00335"></a><span class="lineno"> 335</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> k = col_trans_num - 1; k >= 0; k--) {</div>
+<div class="line"><a name="l00336"></a><span class="lineno"> 336</span>  <span class="keywordflow">if</span> (diag_elem_vec[k] != 0.0) {</div>
+<div class="line"><a name="l00337"></a><span class="lineno"> 337</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = k + 1; j < upp_col_num; j++) {</div>
+<div class="line"><a name="l00338"></a><span class="lineno"> 338</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> factor_t = 0;</div>
+<div class="line"><a name="l00339"></a><span class="lineno"> 339</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = k; i < m; i++) {</div>
+<div class="line"><a name="l00340"></a><span class="lineno"> 340</span>  factor_t += U1[i][k] * U1[i][j];</div>
+<div class="line"><a name="l00341"></a><span class="lineno"> 341</span>  }</div>
+<div class="line"><a name="l00342"></a><span class="lineno"> 342</span>  factor_t = -factor_t / U1[k][k];</div>
+<div class="line"><a name="l00343"></a><span class="lineno"> 343</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = k; i < m; i++) {</div>
+<div class="line"><a name="l00344"></a><span class="lineno"> 344</span>  U1[i][j] += factor_t * U1[i][k];</div>
+<div class="line"><a name="l00345"></a><span class="lineno"> 345</span>  }</div>
+<div class="line"><a name="l00346"></a><span class="lineno"> 346</span>  }</div>
+<div class="line"><a name="l00347"></a><span class="lineno"> 347</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = k; i < m; i++) {</div>
+<div class="line"><a name="l00348"></a><span class="lineno"> 348</span>  U1[i][k] = -U1[i][k];</div>
+<div class="line"><a name="l00349"></a><span class="lineno"> 349</span>  }</div>
+<div class="line"><a name="l00350"></a><span class="lineno"> 350</span>  U1[k][k] += 1.0;</div>
+<div class="line"><a name="l00351"></a><span class="lineno"> 351</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < k - 1; i++) {</div>
+<div class="line"><a name="l00352"></a><span class="lineno"> 352</span>  U1[i][k] = 0.0;</div>
+<div class="line"><a name="l00353"></a><span class="lineno"> 353</span>  }</div>
+<div class="line"><a name="l00354"></a><span class="lineno"> 354</span>  }</div>
+<div class="line"><a name="l00355"></a><span class="lineno"> 355</span>  <span class="keywordflow">else</span> {</div>
+<div class="line"><a name="l00356"></a><span class="lineno"> 356</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < m; i++) {</div>
+<div class="line"><a name="l00357"></a><span class="lineno"> 357</span>  U1[i][k] = 0.0;</div>
+<div class="line"><a name="l00358"></a><span class="lineno"> 358</span>  }</div>
+<div class="line"><a name="l00359"></a><span class="lineno"> 359</span>  U1[k][k] = 1.0;</div>
+<div class="line"><a name="l00360"></a><span class="lineno"> 360</span>  }</div>
+<div class="line"><a name="l00361"></a><span class="lineno"> 361</span>  }</div>
+<div class="line"><a name="l00362"></a><span class="lineno"> 362</span>  </div>
+<div class="line"><a name="l00363"></a><span class="lineno"> 363</span>  <span class="comment">/* Generate the matrix V1 */</span></div>
+<div class="line"><a name="l00364"></a><span class="lineno"> 364</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> k = n - 1; k >= 0; k--) {</div>
+<div class="line"><a name="l00365"></a><span class="lineno"> 365</span>  <span class="keywordflow">if</span> ((k < row_trans_num) & (sup_diag_elem_vec[k] != 0.0)) {</div>
+<div class="line"><a name="l00366"></a><span class="lineno"> 366</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = k + 1; j < n; j++) {</div>
+<div class="line"><a name="l00367"></a><span class="lineno"> 367</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> t = 0;</div>
+<div class="line"><a name="l00368"></a><span class="lineno"> 368</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = k + 1; i < n; i++) {</div>
+<div class="line"><a name="l00369"></a><span class="lineno"> 369</span>  t += V1[i][k] * V1[i][j];</div>
+<div class="line"><a name="l00370"></a><span class="lineno"> 370</span>  }</div>
+<div class="line"><a name="l00371"></a><span class="lineno"> 371</span>  t = -t / V1[k + 1][k];</div>
+<div class="line"><a name="l00372"></a><span class="lineno"> 372</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = k + 1; i < n; i++) {</div>
+<div class="line"><a name="l00373"></a><span class="lineno"> 373</span>  V1[i][j] += t * V1[i][k];</div>
+<div class="line"><a name="l00374"></a><span class="lineno"> 374</span>  }</div>
+<div class="line"><a name="l00375"></a><span class="lineno"> 375</span>  }</div>
+<div class="line"><a name="l00376"></a><span class="lineno"> 376</span>  }</div>
+<div class="line"><a name="l00377"></a><span class="lineno"> 377</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < n; i++) {</div>
+<div class="line"><a name="l00378"></a><span class="lineno"> 378</span>  V1[i][k] = 0.0;</div>
+<div class="line"><a name="l00379"></a><span class="lineno"> 379</span>  }</div>
+<div class="line"><a name="l00380"></a><span class="lineno"> 380</span>  V1[k][k] = 1.0;</div>
+<div class="line"><a name="l00381"></a><span class="lineno"> 381</span>  }</div>
+<div class="line"><a name="l00382"></a><span class="lineno"> 382</span> }</div>
+<div class="line"><a name="l00383"></a><span class="lineno"> 383</span>  </div>
+<div class="line"><a name="l00406"></a><span class="lineno"> 406</span> <span class="keyword">static</span> <span class="keywordtype">void</span> svd_compute_singular_values_U_V(uint8_t m, uint8_t n, uint8_t u_n,</div>
+<div class="line"><a name="l00407"></a><span class="lineno"> 407</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> U[m][u_n],</div>
+<div class="line"><a name="l00408"></a><span class="lineno"> 408</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> V[n][n],</div>
+<div class="line"><a name="l00409"></a><span class="lineno"> 409</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> sup_diag_elem_vec[],</div>
+<div class="line"><a name="l00410"></a><span class="lineno"> 410</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> diag_elem_vec[])</div>
+<div class="line"><a name="l00411"></a><span class="lineno"> 411</span> {</div>
+<div class="line"><a name="l00412"></a><span class="lineno"> 412</span>  <span class="keywordtype">int</span> p_index = min(n, m + 1);</div>
+<div class="line"><a name="l00413"></a><span class="lineno"> 413</span>  <span class="keywordtype">int</span> max_k = p_index - 1;</div>
+<div class="line"><a name="l00414"></a><span class="lineno"> 414</span>  <span class="keywordtype">int</span> iter_num = 0;</div>
+<div class="line"><a name="l00415"></a><span class="lineno"> 415</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> eps = pow(2.0, -52.0);</div>
+<div class="line"><a name="l00416"></a><span class="lineno"> 416</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> tol = pow(2.0, -966.0);</div>
+<div class="line"><a name="l00417"></a><span class="lineno"> 417</span>  </div>
+<div class="line"><a name="l00418"></a><span class="lineno"> 418</span>  <span class="keywordflow">while</span> (p_index > 0) {</div>
+<div class="line"><a name="l00419"></a><span class="lineno"> 419</span>  <span class="keywordtype">int</span> k_index, case_num;</div>
+<div class="line"><a name="l00420"></a><span class="lineno"> 420</span>  </div>
+<div class="line"><a name="l00421"></a><span class="lineno"> 421</span>  <span class="keywordflow">for</span> (k_index = p_index - 2; k_index >= -1; k_index--) {</div>
+<div class="line"><a name="l00422"></a><span class="lineno"> 422</span>  <span class="keywordflow">if</span> (k_index == -1) {</div>
+<div class="line"><a name="l00423"></a><span class="lineno"> 423</span>  <span class="keywordflow">break</span>;</div>
+<div class="line"><a name="l00424"></a><span class="lineno"> 424</span>  }</div>
+<div class="line"><a name="l00425"></a><span class="lineno"> 425</span>  <span class="keywordflow">if</span> (fabs(sup_diag_elem_vec[k_index])</div>
+<div class="line"><a name="l00426"></a><span class="lineno"> 426</span>  <=</div>
+<div class="line"><a name="l00427"></a><span class="lineno"> 427</span>  tol</div>
+<div class="line"><a name="l00428"></a><span class="lineno"> 428</span>  + eps</div>
+<div class="line"><a name="l00429"></a><span class="lineno"> 429</span>  * (fabs(</div>
+<div class="line"><a name="l00430"></a><span class="lineno"> 430</span>  diag_elem_vec[k_index])</div>
+<div class="line"><a name="l00431"></a><span class="lineno"> 431</span>  + fabs(</div>
+<div class="line"><a name="l00432"></a><span class="lineno"> 432</span>  diag_elem_vec[k_index</div>
+<div class="line"><a name="l00433"></a><span class="lineno"> 433</span>  + 1]))) {</div>
+<div class="line"><a name="l00434"></a><span class="lineno"> 434</span>  sup_diag_elem_vec[k_index] = 0.0;</div>
+<div class="line"><a name="l00435"></a><span class="lineno"> 435</span>  <span class="keywordflow">break</span>;</div>
+<div class="line"><a name="l00436"></a><span class="lineno"> 436</span>  }</div>
+<div class="line"><a name="l00437"></a><span class="lineno"> 437</span>  }</div>
+<div class="line"><a name="l00438"></a><span class="lineno"> 438</span>  <span class="keywordflow">if</span> (k_index == p_index - 2) {</div>
+<div class="line"><a name="l00439"></a><span class="lineno"> 439</span>  case_num = <a class="code" href="svd_8h.html#acdb2d1d5cfdead81a1c247037b06823a">SVD_ORDER_ABSOLUTE_SING_VALUES</a>; <span class="comment">//4</span></div>
+<div class="line"><a name="l00440"></a><span class="lineno"> 440</span>  }</div>
+<div class="line"><a name="l00441"></a><span class="lineno"> 441</span>  <span class="keywordflow">else</span> {</div>
+<div class="line"><a name="l00442"></a><span class="lineno"> 442</span>  <span class="keywordtype">int</span> ks_index;</div>
+<div class="line"><a name="l00443"></a><span class="lineno"> 443</span>  <span class="keywordflow">for</span> (ks_index = p_index - 1; ks_index >= k_index;</div>
+<div class="line"><a name="l00444"></a><span class="lineno"> 444</span>  ks_index--) {</div>
+<div class="line"><a name="l00445"></a><span class="lineno"> 445</span>  <span class="keywordflow">if</span> (ks_index == k_index) {</div>
+<div class="line"><a name="l00446"></a><span class="lineno"> 446</span>  <span class="keywordflow">break</span>;</div>
+<div class="line"><a name="l00447"></a><span class="lineno"> 447</span>  }</div>
+<div class="line"><a name="l00448"></a><span class="lineno"> 448</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> t =</div>
+<div class="line"><a name="l00449"></a><span class="lineno"> 449</span>  (ks_index != p_index ?</div>
+<div class="line"><a name="l00450"></a><span class="lineno"> 450</span>  fabs(</div>
+<div class="line"><a name="l00451"></a><span class="lineno"> 451</span>  sup_diag_elem_vec[ks_index]) :</div>
+<div class="line"><a name="l00452"></a><span class="lineno"> 452</span>  0.)</div>
+<div class="line"><a name="l00453"></a><span class="lineno"> 453</span>  +</div>
+<div class="line"><a name="l00454"></a><span class="lineno"> 454</span>  (ks_index</div>
+<div class="line"><a name="l00455"></a><span class="lineno"> 455</span>  != k_index</div>
+<div class="line"><a name="l00456"></a><span class="lineno"> 456</span>  + 1 ?</div>
+<div class="line"><a name="l00457"></a><span class="lineno"> 457</span>  fabs(</div>
+<div class="line"><a name="l00458"></a><span class="lineno"> 458</span>  sup_diag_elem_vec[ks_index</div>
+<div class="line"><a name="l00459"></a><span class="lineno"> 459</span>  - 1]) :</div>
+<div class="line"><a name="l00460"></a><span class="lineno"> 460</span>  0.);</div>
+<div class="line"><a name="l00461"></a><span class="lineno"> 461</span>  <span class="keywordflow">if</span> (fabs(diag_elem_vec[ks_index])</div>
+<div class="line"><a name="l00462"></a><span class="lineno"> 462</span>  <= tol + eps * t) {</div>
+<div class="line"><a name="l00463"></a><span class="lineno"> 463</span>  diag_elem_vec[ks_index] = 0.0;</div>
+<div class="line"><a name="l00464"></a><span class="lineno"> 464</span>  <span class="keywordflow">break</span>;</div>
+<div class="line"><a name="l00465"></a><span class="lineno"> 465</span>  }</div>
+<div class="line"><a name="l00466"></a><span class="lineno"> 466</span>  }</div>
+<div class="line"><a name="l00467"></a><span class="lineno"> 467</span>  <span class="keywordflow">if</span> (ks_index == k_index) {</div>
+<div class="line"><a name="l00468"></a><span class="lineno"> 468</span>  case_num = <a class="code" href="svd_8h.html#af9e7db6685a0631312bfb93cc58dd756">SVD_QR_STEP</a>; <span class="comment">//3</span></div>
+<div class="line"><a name="l00469"></a><span class="lineno"> 469</span>  }</div>
+<div class="line"><a name="l00470"></a><span class="lineno"> 470</span>  <span class="keywordflow">else</span> <span class="keywordflow">if</span> (ks_index == p_index - 1) {</div>
+<div class="line"><a name="l00471"></a><span class="lineno"> 471</span>  case_num = <a class="code" href="svd_8h.html#aa2f21266e1086a3971dfd02ee4b48ce5">SVD_COMPUTE_NEGLIGIBLE_VALUES</a>; <span class="comment">//1</span></div>
+<div class="line"><a name="l00472"></a><span class="lineno"> 472</span>  }</div>
+<div class="line"><a name="l00473"></a><span class="lineno"> 473</span>  <span class="keywordflow">else</span> {</div>
+<div class="line"><a name="l00474"></a><span class="lineno"> 474</span>  case_num = <a class="code" href="svd_8h.html#a70d46444b7291fdb50510447bb1ab9a4">SVD_SPLIT_AT_NEGLIGIBLE_VALUES</a>; <span class="comment">//2</span></div>
+<div class="line"><a name="l00475"></a><span class="lineno"> 475</span>  k_index = ks_index;</div>
+<div class="line"><a name="l00476"></a><span class="lineno"> 476</span>  }</div>
+<div class="line"><a name="l00477"></a><span class="lineno"> 477</span>  }</div>
+<div class="line"><a name="l00478"></a><span class="lineno"> 478</span>  k_index++;</div>
+<div class="line"><a name="l00479"></a><span class="lineno"> 479</span>  </div>
+<div class="line"><a name="l00480"></a><span class="lineno"> 480</span>  <span class="keywordflow">switch</span> (case_num) {</div>
+<div class="line"><a name="l00481"></a><span class="lineno"> 481</span>  </div>
+<div class="line"><a name="l00482"></a><span class="lineno"> 482</span>  <span class="comment">/* Compute negligible values */</span></div>
+<div class="line"><a name="l00483"></a><span class="lineno"> 483</span>  <span class="keywordflow">case</span> <a class="code" href="svd_8h.html#aa2f21266e1086a3971dfd02ee4b48ce5">SVD_COMPUTE_NEGLIGIBLE_VALUES</a>: {</div>
+<div class="line"><a name="l00484"></a><span class="lineno"> 484</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> f_val = sup_diag_elem_vec[p_index - 2];</div>
+<div class="line"><a name="l00485"></a><span class="lineno"> 485</span>  sup_diag_elem_vec[p_index - 2] = 0.0;</div>
+<div class="line"><a name="l00486"></a><span class="lineno"> 486</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = p_index - 2; j >= k_index; j--) {</div>
+<div class="line"><a name="l00487"></a><span class="lineno"> 487</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> t_val = hypot(diag_elem_vec[j], f_val);</div>
+<div class="line"><a name="l00488"></a><span class="lineno"> 488</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> split_cs_fac = diag_elem_vec[j]</div>
+<div class="line"><a name="l00489"></a><span class="lineno"> 489</span>  / t_val;</div>
+<div class="line"><a name="l00490"></a><span class="lineno"> 490</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> split_sn_fac = f_val / t_val;</div>
+<div class="line"><a name="l00491"></a><span class="lineno"> 491</span>  diag_elem_vec[j] = t_val;</div>
+<div class="line"><a name="l00492"></a><span class="lineno"> 492</span>  <span class="keywordflow">if</span> (j != k_index) {</div>
+<div class="line"><a name="l00493"></a><span class="lineno"> 493</span>  f_val = -split_sn_fac</div>
+<div class="line"><a name="l00494"></a><span class="lineno"> 494</span>  * sup_diag_elem_vec[j</div>
+<div class="line"><a name="l00495"></a><span class="lineno"> 495</span>  - 1];</div>
+<div class="line"><a name="l00496"></a><span class="lineno"> 496</span>  sup_diag_elem_vec[j - 1] = split_cs_fac</div>
+<div class="line"><a name="l00497"></a><span class="lineno"> 497</span>  * sup_diag_elem_vec[j</div>
+<div class="line"><a name="l00498"></a><span class="lineno"> 498</span>  - 1];</div>
+<div class="line"><a name="l00499"></a><span class="lineno"> 499</span>  }</div>
+<div class="line"><a name="l00500"></a><span class="lineno"> 500</span>  <span class="comment">/* Compute the V matrix */</span></div>
+<div class="line"><a name="l00501"></a><span class="lineno"> 501</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < n; i++) {</div>
+<div class="line"><a name="l00502"></a><span class="lineno"> 502</span>  t_val =</div>
+<div class="line"><a name="l00503"></a><span class="lineno"> 503</span>  split_cs_fac * V[i][j]</div>
+<div class="line"><a name="l00504"></a><span class="lineno"> 504</span>  + split_sn_fac</div>
+<div class="line"><a name="l00505"></a><span class="lineno"> 505</span>  * V[i][p_index</div>
+<div class="line"><a name="l00506"></a><span class="lineno"> 506</span>  - 1];</div>
+<div class="line"><a name="l00507"></a><span class="lineno"> 507</span>  V[i][p_index - 1] =</div>
+<div class="line"><a name="l00508"></a><span class="lineno"> 508</span>  -split_sn_fac * V[i][j]</div>
+<div class="line"><a name="l00509"></a><span class="lineno"> 509</span>  + split_cs_fac</div>
+<div class="line"><a name="l00510"></a><span class="lineno"> 510</span>  * V[i][p_index</div>
+<div class="line"><a name="l00511"></a><span class="lineno"> 511</span>  - 1];</div>
+<div class="line"><a name="l00512"></a><span class="lineno"> 512</span>  V[i][j] = t_val;</div>
+<div class="line"><a name="l00513"></a><span class="lineno"> 513</span>  }</div>
+<div class="line"><a name="l00514"></a><span class="lineno"> 514</span>  }</div>
+<div class="line"><a name="l00515"></a><span class="lineno"> 515</span>  }</div>
+<div class="line"><a name="l00516"></a><span class="lineno"> 516</span>  <span class="keywordflow">break</span>;</div>
+<div class="line"><a name="l00517"></a><span class="lineno"> 517</span>  </div>
+<div class="line"><a name="l00518"></a><span class="lineno"> 518</span>  <span class="comment">/* Split at negligible values sup_diag_elem_vec(k) */</span></div>
+<div class="line"><a name="l00519"></a><span class="lineno"> 519</span>  <span class="keywordflow">case</span> <a class="code" href="svd_8h.html#a70d46444b7291fdb50510447bb1ab9a4">SVD_SPLIT_AT_NEGLIGIBLE_VALUES</a>: {</div>
+<div class="line"><a name="l00520"></a><span class="lineno"> 520</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> f_val = sup_diag_elem_vec[k_index - 1];</div>
+<div class="line"><a name="l00521"></a><span class="lineno"> 521</span>  sup_diag_elem_vec[k_index - 1] = 0.0;</div>
+<div class="line"><a name="l00522"></a><span class="lineno"> 522</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = k_index; j < p_index; j++) {</div>
+<div class="line"><a name="l00523"></a><span class="lineno"> 523</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> t_val = hypot(diag_elem_vec[j], f_val);</div>
+<div class="line"><a name="l00524"></a><span class="lineno"> 524</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> split_cs_fac = diag_elem_vec[j]</div>
+<div class="line"><a name="l00525"></a><span class="lineno"> 525</span>  / t_val;</div>
+<div class="line"><a name="l00526"></a><span class="lineno"> 526</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> split_sn_fac = f_val / t_val;</div>
+<div class="line"><a name="l00527"></a><span class="lineno"> 527</span>  diag_elem_vec[j] = t_val;</div>
+<div class="line"><a name="l00528"></a><span class="lineno"> 528</span>  f_val = -split_sn_fac * sup_diag_elem_vec[j];</div>
+<div class="line"><a name="l00529"></a><span class="lineno"> 529</span>  sup_diag_elem_vec[j] = split_cs_fac</div>
+<div class="line"><a name="l00530"></a><span class="lineno"> 530</span>  * sup_diag_elem_vec[j];</div>
+<div class="line"><a name="l00531"></a><span class="lineno"> 531</span>  </div>
+<div class="line"><a name="l00532"></a><span class="lineno"> 532</span>  <span class="comment">/* Compute the U matrix */</span></div>
+<div class="line"><a name="l00533"></a><span class="lineno"> 533</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < m; i++) {</div>
+<div class="line"><a name="l00534"></a><span class="lineno"> 534</span>  t_val =</div>
+<div class="line"><a name="l00535"></a><span class="lineno"> 535</span>  split_cs_fac * U[i][j]</div>
+<div class="line"><a name="l00536"></a><span class="lineno"> 536</span>  + split_sn_fac</div>
+<div class="line"><a name="l00537"></a><span class="lineno"> 537</span>  * U[i][k_index</div>
+<div class="line"><a name="l00538"></a><span class="lineno"> 538</span>  - 1];</div>
+<div class="line"><a name="l00539"></a><span class="lineno"> 539</span>  U[i][k_index - 1] =</div>
+<div class="line"><a name="l00540"></a><span class="lineno"> 540</span>  -split_sn_fac * U[i][j]</div>
+<div class="line"><a name="l00541"></a><span class="lineno"> 541</span>  + split_cs_fac</div>
+<div class="line"><a name="l00542"></a><span class="lineno"> 542</span>  * U[i][k_index</div>
+<div class="line"><a name="l00543"></a><span class="lineno"> 543</span>  - 1];</div>
+<div class="line"><a name="l00544"></a><span class="lineno"> 544</span>  U[i][j] = t_val;</div>
+<div class="line"><a name="l00545"></a><span class="lineno"> 545</span>  }</div>
+<div class="line"><a name="l00546"></a><span class="lineno"> 546</span>  }</div>
+<div class="line"><a name="l00547"></a><span class="lineno"> 547</span>  }</div>
+<div class="line"><a name="l00548"></a><span class="lineno"> 548</span>  <span class="keywordflow">break</span>;</div>
+<div class="line"><a name="l00549"></a><span class="lineno"> 549</span>  </div>
+<div class="line"><a name="l00550"></a><span class="lineno"> 550</span>  <span class="comment">/* The QR Step */</span></div>
+<div class="line"><a name="l00551"></a><span class="lineno"> 551</span>  <span class="keywordflow">case</span> <a class="code" href="svd_8h.html#af9e7db6685a0631312bfb93cc58dd756">SVD_QR_STEP</a>: {</div>
+<div class="line"><a name="l00552"></a><span class="lineno"> 552</span>  </div>
+<div class="line"><a name="l00553"></a><span class="lineno"> 553</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> buff[5] = { diag_elem_vec[p_index - 1],</div>
+<div class="line"><a name="l00554"></a><span class="lineno"> 554</span>  diag_elem_vec[p_index - 2],</div>
+<div class="line"><a name="l00555"></a><span class="lineno"> 555</span>  sup_diag_elem_vec[p_index - 2],</div>
+<div class="line"><a name="l00556"></a><span class="lineno"> 556</span>  diag_elem_vec[k_index],</div>
+<div class="line"><a name="l00557"></a><span class="lineno"> 557</span>  sup_diag_elem_vec[k_index] };</div>
+<div class="line"><a name="l00558"></a><span class="lineno"> 558</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> scale = get_abs_max(buff, 5);</div>
+<div class="line"><a name="l00559"></a><span class="lineno"> 559</span>  </div>
+<div class="line"><a name="l00560"></a><span class="lineno"> 560</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> p_diag_elem = diag_elem_vec[p_index - 1]</div>
+<div class="line"><a name="l00561"></a><span class="lineno"> 561</span>  / scale;</div>
+<div class="line"><a name="l00562"></a><span class="lineno"> 562</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> p_minus_diag_elem = diag_elem_vec[p_index - 2]</div>
+<div class="line"><a name="l00563"></a><span class="lineno"> 563</span>  / scale;</div>
+<div class="line"><a name="l00564"></a><span class="lineno"> 564</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> p_minus_sup_diag_elem =</div>
+<div class="line"><a name="l00565"></a><span class="lineno"> 565</span>  sup_diag_elem_vec[p_index - 2] / scale;</div>
+<div class="line"><a name="l00566"></a><span class="lineno"> 566</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> k_diag_elem = diag_elem_vec[k_index] / scale;</div>
+<div class="line"><a name="l00567"></a><span class="lineno"> 567</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> k_sup_diag_elem = sup_diag_elem_vec[k_index]</div>
+<div class="line"><a name="l00568"></a><span class="lineno"> 568</span>  / scale;</div>
+<div class="line"><a name="l00569"></a><span class="lineno"> 569</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> d_val = ((p_minus_diag_elem + p_diag_elem)</div>
+<div class="line"><a name="l00570"></a><span class="lineno"> 570</span>  * (p_minus_diag_elem - p_diag_elem)</div>
+<div class="line"><a name="l00571"></a><span class="lineno"> 571</span>  + p_minus_sup_diag_elem</div>
+<div class="line"><a name="l00572"></a><span class="lineno"> 572</span>  * p_minus_sup_diag_elem)</div>
+<div class="line"><a name="l00573"></a><span class="lineno"> 573</span>  / 2.0;</div>
+<div class="line"><a name="l00574"></a><span class="lineno"> 574</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> e_val = (p_diag_elem * p_minus_sup_diag_elem)</div>
+<div class="line"><a name="l00575"></a><span class="lineno"> 575</span>  * (p_diag_elem * p_minus_sup_diag_elem);</div>
+<div class="line"><a name="l00576"></a><span class="lineno"> 576</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> wilkinson_shift = 0.0;</div>
+<div class="line"><a name="l00577"></a><span class="lineno"> 577</span>  <span class="keywordflow">if</span> ((d_val != 0.0) | (e_val != 0.0)) {</div>
+<div class="line"><a name="l00578"></a><span class="lineno"> 578</span>  wilkinson_shift = sqrt(d_val * d_val + e_val);</div>
+<div class="line"><a name="l00579"></a><span class="lineno"> 579</span>  <span class="keywordflow">if</span> (d_val < 0.0) {</div>
+<div class="line"><a name="l00580"></a><span class="lineno"> 580</span>  wilkinson_shift = -wilkinson_shift;</div>
+<div class="line"><a name="l00581"></a><span class="lineno"> 581</span>  }</div>
+<div class="line"><a name="l00582"></a><span class="lineno"> 582</span>  wilkinson_shift = e_val</div>
+<div class="line"><a name="l00583"></a><span class="lineno"> 583</span>  / (d_val + wilkinson_shift);</div>
+<div class="line"><a name="l00584"></a><span class="lineno"> 584</span>  }</div>
+<div class="line"><a name="l00585"></a><span class="lineno"> 585</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> f_val = (k_diag_elem + p_diag_elem)</div>
+<div class="line"><a name="l00586"></a><span class="lineno"> 586</span>  * (k_diag_elem - p_diag_elem)</div>
+<div class="line"><a name="l00587"></a><span class="lineno"> 587</span>  + wilkinson_shift;</div>
+<div class="line"><a name="l00588"></a><span class="lineno"> 588</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> g_val = k_diag_elem * k_sup_diag_elem;</div>
+<div class="line"><a name="l00589"></a><span class="lineno"> 589</span>  </div>
+<div class="line"><a name="l00590"></a><span class="lineno"> 590</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = k_index; j < p_index - 1; j++) {</div>
+<div class="line"><a name="l00591"></a><span class="lineno"> 591</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> t = hypot(f_val, g_val);</div>
+<div class="line"><a name="l00592"></a><span class="lineno"> 592</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> split_cs_fac = f_val / t;</div>
+<div class="line"><a name="l00593"></a><span class="lineno"> 593</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> split_sn_fac = g_val / t;</div>
+<div class="line"><a name="l00594"></a><span class="lineno"> 594</span>  <span class="keywordflow">if</span> (j != k_index) {</div>
+<div class="line"><a name="l00595"></a><span class="lineno"> 595</span>  sup_diag_elem_vec[j - 1] = t;</div>
+<div class="line"><a name="l00596"></a><span class="lineno"> 596</span>  }</div>
+<div class="line"><a name="l00597"></a><span class="lineno"> 597</span>  f_val =</div>
+<div class="line"><a name="l00598"></a><span class="lineno"> 598</span>  split_cs_fac * diag_elem_vec[j]</div>
+<div class="line"><a name="l00599"></a><span class="lineno"> 599</span>  + split_sn_fac</div>
+<div class="line"><a name="l00600"></a><span class="lineno"> 600</span>  * sup_diag_elem_vec[j];</div>
+<div class="line"><a name="l00601"></a><span class="lineno"> 601</span>  sup_diag_elem_vec[j] =</div>
+<div class="line"><a name="l00602"></a><span class="lineno"> 602</span>  split_cs_fac</div>
+<div class="line"><a name="l00603"></a><span class="lineno"> 603</span>  * sup_diag_elem_vec[j]</div>
+<div class="line"><a name="l00604"></a><span class="lineno"> 604</span>  - split_sn_fac</div>
+<div class="line"><a name="l00605"></a><span class="lineno"> 605</span>  * diag_elem_vec[j];</div>
+<div class="line"><a name="l00606"></a><span class="lineno"> 606</span>  g_val = split_sn_fac * diag_elem_vec[j + 1];</div>
+<div class="line"><a name="l00607"></a><span class="lineno"> 607</span>  diag_elem_vec[j + 1] = split_cs_fac</div>
+<div class="line"><a name="l00608"></a><span class="lineno"> 608</span>  * diag_elem_vec[j + 1];</div>
+<div class="line"><a name="l00609"></a><span class="lineno"> 609</span>  </div>
+<div class="line"><a name="l00610"></a><span class="lineno"> 610</span>  <span class="comment">/* Compute the V matrix */</span></div>
+<div class="line"><a name="l00611"></a><span class="lineno"> 611</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < n; i++) {</div>
+<div class="line"><a name="l00612"></a><span class="lineno"> 612</span>  t =</div>
+<div class="line"><a name="l00613"></a><span class="lineno"> 613</span>  split_cs_fac * V[i][j]</div>
+<div class="line"><a name="l00614"></a><span class="lineno"> 614</span>  + split_sn_fac</div>
+<div class="line"><a name="l00615"></a><span class="lineno"> 615</span>  * V[i][j</div>
+<div class="line"><a name="l00616"></a><span class="lineno"> 616</span>  + 1];</div>
+<div class="line"><a name="l00617"></a><span class="lineno"> 617</span>  V[i][j + 1] =</div>
+<div class="line"><a name="l00618"></a><span class="lineno"> 618</span>  -split_sn_fac * V[i][j]</div>
+<div class="line"><a name="l00619"></a><span class="lineno"> 619</span>  + split_cs_fac</div>
+<div class="line"><a name="l00620"></a><span class="lineno"> 620</span>  * V[i][j</div>
+<div class="line"><a name="l00621"></a><span class="lineno"> 621</span>  + 1];</div>
+<div class="line"><a name="l00622"></a><span class="lineno"> 622</span>  V[i][j] = t;</div>
+<div class="line"><a name="l00623"></a><span class="lineno"> 623</span>  }</div>
+<div class="line"><a name="l00624"></a><span class="lineno"> 624</span>  </div>
+<div class="line"><a name="l00625"></a><span class="lineno"> 625</span>  t = hypot(f_val, g_val);</div>
+<div class="line"><a name="l00626"></a><span class="lineno"> 626</span>  split_cs_fac = f_val / t;</div>
+<div class="line"><a name="l00627"></a><span class="lineno"> 627</span>  split_sn_fac = g_val / t;</div>
+<div class="line"><a name="l00628"></a><span class="lineno"> 628</span>  diag_elem_vec[j] = t;</div>
+<div class="line"><a name="l00629"></a><span class="lineno"> 629</span>  f_val =</div>
+<div class="line"><a name="l00630"></a><span class="lineno"> 630</span>  split_cs_fac</div>
+<div class="line"><a name="l00631"></a><span class="lineno"> 631</span>  * sup_diag_elem_vec[j]</div>
+<div class="line"><a name="l00632"></a><span class="lineno"> 632</span>  + split_sn_fac</div>
+<div class="line"><a name="l00633"></a><span class="lineno"> 633</span>  * diag_elem_vec[j</div>
+<div class="line"><a name="l00634"></a><span class="lineno"> 634</span>  + 1];</div>
+<div class="line"><a name="l00635"></a><span class="lineno"> 635</span>  diag_elem_vec[j + 1] =</div>
+<div class="line"><a name="l00636"></a><span class="lineno"> 636</span>  -split_sn_fac</div>
+<div class="line"><a name="l00637"></a><span class="lineno"> 637</span>  * sup_diag_elem_vec[j]</div>
+<div class="line"><a name="l00638"></a><span class="lineno"> 638</span>  + split_cs_fac</div>
+<div class="line"><a name="l00639"></a><span class="lineno"> 639</span>  * diag_elem_vec[j</div>
+<div class="line"><a name="l00640"></a><span class="lineno"> 640</span>  + 1];</div>
+<div class="line"><a name="l00641"></a><span class="lineno"> 641</span>  g_val = split_sn_fac * sup_diag_elem_vec[j + 1];</div>
+<div class="line"><a name="l00642"></a><span class="lineno"> 642</span>  sup_diag_elem_vec[j + 1] = split_cs_fac</div>
+<div class="line"><a name="l00643"></a><span class="lineno"> 643</span>  * sup_diag_elem_vec[j + 1];</div>
+<div class="line"><a name="l00644"></a><span class="lineno"> 644</span>  <span class="keywordflow">if</span> (j < m - 1) {</div>
+<div class="line"><a name="l00645"></a><span class="lineno"> 645</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < m; i++) {</div>
+<div class="line"><a name="l00646"></a><span class="lineno"> 646</span>  t =</div>
+<div class="line"><a name="l00647"></a><span class="lineno"> 647</span>  split_cs_fac</div>
+<div class="line"><a name="l00648"></a><span class="lineno"> 648</span>  * U[i][j]</div>
+<div class="line"><a name="l00649"></a><span class="lineno"> 649</span>  + split_sn_fac</div>
+<div class="line"><a name="l00650"></a><span class="lineno"> 650</span>  * U[i][j</div>
+<div class="line"><a name="l00651"></a><span class="lineno"> 651</span>  + 1];</div>
+<div class="line"><a name="l00652"></a><span class="lineno"> 652</span>  U[i][j + 1] =</div>
+<div class="line"><a name="l00653"></a><span class="lineno"> 653</span>  -split_sn_fac</div>
+<div class="line"><a name="l00654"></a><span class="lineno"> 654</span>  * U[i][j]</div>
+<div class="line"><a name="l00655"></a><span class="lineno"> 655</span>  + split_cs_fac</div>
+<div class="line"><a name="l00656"></a><span class="lineno"> 656</span>  * U[i][j</div>
+<div class="line"><a name="l00657"></a><span class="lineno"> 657</span>  + 1];</div>
+<div class="line"><a name="l00658"></a><span class="lineno"> 658</span>  U[i][j] = t;</div>
+<div class="line"><a name="l00659"></a><span class="lineno"> 659</span>  }</div>
+<div class="line"><a name="l00660"></a><span class="lineno"> 660</span>  }</div>
+<div class="line"><a name="l00661"></a><span class="lineno"> 661</span>  }</div>
+<div class="line"><a name="l00662"></a><span class="lineno"> 662</span>  sup_diag_elem_vec[p_index - 2] = f_val;</div>
+<div class="line"><a name="l00663"></a><span class="lineno"> 663</span>  iter_num++;</div>
+<div class="line"><a name="l00664"></a><span class="lineno"> 664</span>  }</div>
+<div class="line"><a name="l00665"></a><span class="lineno"> 665</span>  <span class="keywordflow">break</span>;</div>
+<div class="line"><a name="l00666"></a><span class="lineno"> 666</span>  </div>
+<div class="line"><a name="l00667"></a><span class="lineno"> 667</span>  <span class="comment">/* Order the absolute singular values */</span></div>
+<div class="line"><a name="l00668"></a><span class="lineno"> 668</span>  <span class="keywordflow">case</span> <a class="code" href="svd_8h.html#acdb2d1d5cfdead81a1c247037b06823a">SVD_ORDER_ABSOLUTE_SING_VALUES</a>: {</div>
+<div class="line"><a name="l00669"></a><span class="lineno"> 669</span>  </div>
+<div class="line"><a name="l00670"></a><span class="lineno"> 670</span>  <span class="keywordflow">if</span> (diag_elem_vec[k_index] <= 0.0) {</div>
+<div class="line"><a name="l00671"></a><span class="lineno"> 671</span>  diag_elem_vec[k_index] =</div>
+<div class="line"><a name="l00672"></a><span class="lineno"> 672</span>  (diag_elem_vec[k_index] < 0.0 ?</div>
+<div class="line"><a name="l00673"></a><span class="lineno"> 673</span>  -diag_elem_vec[k_index] :</div>
+<div class="line"><a name="l00674"></a><span class="lineno"> 674</span>  0.0);</div>
+<div class="line"><a name="l00675"></a><span class="lineno"> 675</span>  </div>
+<div class="line"><a name="l00676"></a><span class="lineno"> 676</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < n; i++) {</div>
+<div class="line"><a name="l00677"></a><span class="lineno"> 677</span>  V[i][k_index] = -V[i][k_index];</div>
+<div class="line"><a name="l00678"></a><span class="lineno"> 678</span>  }</div>
+<div class="line"><a name="l00679"></a><span class="lineno"> 679</span>  }</div>
+<div class="line"><a name="l00680"></a><span class="lineno"> 680</span>  </div>
+<div class="line"><a name="l00681"></a><span class="lineno"> 681</span>  <span class="keywordflow">while</span> (k_index < max_k) {</div>
+<div class="line"><a name="l00682"></a><span class="lineno"> 682</span>  <span class="keywordflow">if</span> (diag_elem_vec[k_index]</div>
+<div class="line"><a name="l00683"></a><span class="lineno"> 683</span>  >= diag_elem_vec[k_index + 1]) {</div>
+<div class="line"><a name="l00684"></a><span class="lineno"> 684</span>  <span class="keywordflow">break</span>;</div>
+<div class="line"><a name="l00685"></a><span class="lineno"> 685</span>  }</div>
+<div class="line"><a name="l00686"></a><span class="lineno"> 686</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> k_diag_elem = diag_elem_vec[k_index];</div>
+<div class="line"><a name="l00687"></a><span class="lineno"> 687</span>  diag_elem_vec[k_index] = diag_elem_vec[k_index</div>
+<div class="line"><a name="l00688"></a><span class="lineno"> 688</span>  + 1];</div>
+<div class="line"><a name="l00689"></a><span class="lineno"> 689</span>  diag_elem_vec[k_index + 1] = k_diag_elem;</div>
+<div class="line"><a name="l00690"></a><span class="lineno"> 690</span>  <span class="keywordflow">if</span> (k_index < n - 1) {</div>
+<div class="line"><a name="l00691"></a><span class="lineno"> 691</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < n; i++) {</div>
+<div class="line"><a name="l00692"></a><span class="lineno"> 692</span>  k_diag_elem = V[i][k_index + 1];</div>
+<div class="line"><a name="l00693"></a><span class="lineno"> 693</span>  V[i][k_index + 1] =</div>
+<div class="line"><a name="l00694"></a><span class="lineno"> 694</span>  V[i][k_index];</div>
+<div class="line"><a name="l00695"></a><span class="lineno"> 695</span>  V[i][k_index] = k_diag_elem;</div>
+<div class="line"><a name="l00696"></a><span class="lineno"> 696</span>  }</div>
+<div class="line"><a name="l00697"></a><span class="lineno"> 697</span>  }</div>
+<div class="line"><a name="l00698"></a><span class="lineno"> 698</span>  <span class="keywordflow">if</span> (k_index < m - 1) {</div>
+<div class="line"><a name="l00699"></a><span class="lineno"> 699</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < m; i++) {</div>
+<div class="line"><a name="l00700"></a><span class="lineno"> 700</span>  k_diag_elem = U[i][k_index + 1];</div>
+<div class="line"><a name="l00701"></a><span class="lineno"> 701</span>  U[i][k_index + 1] =</div>
+<div class="line"><a name="l00702"></a><span class="lineno"> 702</span>  U[i][k_index];</div>
+<div class="line"><a name="l00703"></a><span class="lineno"> 703</span>  U[i][k_index] = k_diag_elem;</div>
+<div class="line"><a name="l00704"></a><span class="lineno"> 704</span>  }</div>
+<div class="line"><a name="l00705"></a><span class="lineno"> 705</span>  }</div>
+<div class="line"><a name="l00706"></a><span class="lineno"> 706</span>  k_index++;</div>
+<div class="line"><a name="l00707"></a><span class="lineno"> 707</span>  }</div>
+<div class="line"><a name="l00708"></a><span class="lineno"> 708</span>  iter_num = 0;</div>
+<div class="line"><a name="l00709"></a><span class="lineno"> 709</span>  p_index--;</div>
+<div class="line"><a name="l00710"></a><span class="lineno"> 710</span>  }</div>
+<div class="line"><a name="l00711"></a><span class="lineno"> 711</span>  <span class="keywordflow">break</span>;</div>
+<div class="line"><a name="l00712"></a><span class="lineno"> 712</span>  }</div>
+<div class="line"><a name="l00713"></a><span class="lineno"> 713</span>  }</div>
+<div class="line"><a name="l00714"></a><span class="lineno"> 714</span> }</div>
+<div class="line"><a name="l00715"></a><span class="lineno"> 715</span>  </div>
+<div class="line"><a name="l00732"></a><span class="lineno"> 732</span> <span class="keyword">static</span> <span class="keywordtype">void</span> svd_generate_S(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> S[n][n],</div>
+<div class="line"><a name="l00733"></a><span class="lineno"> 733</span>  uint8_t sing_vec_length, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> singl_values_vec[])</div>
+<div class="line"><a name="l00734"></a><span class="lineno"> 734</span> {</div>
+<div class="line"><a name="l00735"></a><span class="lineno"> 735</span>  uint8_t i;</div>
+<div class="line"><a name="l00736"></a><span class="lineno"> 736</span>  </div>
+<div class="line"><a name="l00737"></a><span class="lineno"> 737</span>  <span class="keywordflow">for</span> (i = 0; i < m; i++) {</div>
+<div class="line"><a name="l00738"></a><span class="lineno"> 738</span>  <span class="keywordflow">for</span> (uint8_t j = 0; j < n; j++) {</div>
+<div class="line"><a name="l00739"></a><span class="lineno"> 739</span>  S[i][j] = 0.0;</div>
+<div class="line"><a name="l00740"></a><span class="lineno"> 740</span>  }</div>
+<div class="line"><a name="l00741"></a><span class="lineno"> 741</span>  <span class="keywordflow">if</span> (i < sing_vec_length) {</div>
+<div class="line"><a name="l00742"></a><span class="lineno"> 742</span>  S[i][i] = singl_values_vec[i];</div>
+<div class="line"><a name="l00743"></a><span class="lineno"> 743</span>  }</div>
+<div class="line"><a name="l00744"></a><span class="lineno"> 744</span>  }</div>
+<div class="line"><a name="l00745"></a><span class="lineno"> 745</span> }</div>
+<div class="line"><a name="l00746"></a><span class="lineno"> 746</span>  </div>
+<div class="line"><a name="l00747"></a><span class="lineno"><a class="line" href="svd_8c.html#ae92d53fe415ccfd63a21bb36936294cb"> 747</a></span> <span class="keywordtype">void</span> <a class="code" href="svd_8c.html#ae92d53fe415ccfd63a21bb36936294cb">svd_get_reciproc_singular_values</a>(uint8_t m, uint8_t n, uint8_t length,</div>
+<div class="line"><a name="l00748"></a><span class="lineno"> 748</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> singl_values_arr[],</div>
+<div class="line"><a name="l00749"></a><span class="lineno"> 749</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> recip_singl_values_arr[]</div>
+<div class="line"><a name="l00750"></a><span class="lineno"> 750</span>  )</div>
+<div class="line"><a name="l00751"></a><span class="lineno"> 751</span> {</div>
+<div class="line"><a name="l00752"></a><span class="lineno"> 752</span>  uint8_t i;</div>
+<div class="line"><a name="l00753"></a><span class="lineno"> 753</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> eps = pow(2.0, -52.0);</div>
+<div class="line"><a name="l00754"></a><span class="lineno"> 754</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> tol = max(m, n) * singl_values_arr[0] * eps;</div>
+<div class="line"><a name="l00755"></a><span class="lineno"> 755</span>  </div>
+<div class="line"><a name="l00756"></a><span class="lineno"> 756</span>  <span class="keywordflow">for</span> (i = 0; i < length; i++) {</div>
+<div class="line"><a name="l00757"></a><span class="lineno"> 757</span>  <span class="keywordflow">if</span> (fabs(singl_values_arr[i]) >= tol) {</div>
+<div class="line"><a name="l00758"></a><span class="lineno"> 758</span>  recip_singl_values_arr[i] = 1.0 / singl_values_arr[i];</div>
+<div class="line"><a name="l00759"></a><span class="lineno"> 759</span>  }</div>
+<div class="line"><a name="l00760"></a><span class="lineno"> 760</span>  <span class="keywordflow">else</span> {</div>
+<div class="line"><a name="l00761"></a><span class="lineno"> 761</span>  recip_singl_values_arr[i] = 0;</div>
+<div class="line"><a name="l00762"></a><span class="lineno"> 762</span>  }</div>
+<div class="line"><a name="l00763"></a><span class="lineno"> 763</span>  }</div>
+<div class="line"><a name="l00764"></a><span class="lineno"> 764</span> }</div>
+<div class="line"><a name="l00765"></a><span class="lineno"> 765</span>  </div>
+<div class="line"><a name="l00766"></a><span class="lineno"><a class="line" href="svd_8c.html#a55b4a07eb7dbd09f7fa1d15debd44595"> 766</a></span> <span class="keywordtype">void</span> <a class="code" href="svd_8c.html#a55b4a07eb7dbd09f7fa1d15debd44595">svd_compute_print_U_S_V_s</a>(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix_arr[m][n],</div>
+<div class="line"><a name="l00767"></a><span class="lineno"> 767</span>  uint8_t i)</div>
+<div class="line"><a name="l00768"></a><span class="lineno"> 768</span> {</div>
+<div class="line"><a name="l00769"></a><span class="lineno"> 769</span>  printf(</div>
+<div class="line"><a name="l00770"></a><span class="lineno"> 770</span>  <span class="stringliteral">"########################## Test %d ##########################\n"</span>,</div>
+<div class="line"><a name="l00771"></a><span class="lineno"> 771</span>  i);</div>
+<div class="line"><a name="l00772"></a><span class="lineno"> 772</span>  <a class="code" href="structmatrix__dim__t.html">matrix_dim_t</a> u_dim;</div>
+<div class="line"><a name="l00773"></a><span class="lineno"> 773</span>  <a class="code" href="svd_8c.html#a8194826f85cc3105c4d8d4f342ca8df8">svd_get_U_dim</a>(m, n, &u_dim);</div>
+<div class="line"><a name="l00774"></a><span class="lineno"> 774</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> U[u_dim.<a class="code" href="structmatrix__dim__t.html#a853244a0562d43bfdcdcb704ed707721">row_num</a>][u_dim.<a class="code" href="structmatrix__dim__t.html#aac6b6ff205184047714d5c22019bdbab">col_num</a>];</div>
+<div class="line"><a name="l00775"></a><span class="lineno"> 775</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> S[u_dim.<a class="code" href="structmatrix__dim__t.html#aac6b6ff205184047714d5c22019bdbab">col_num</a>][n];</div>
+<div class="line"><a name="l00776"></a><span class="lineno"> 776</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> V[n][n];</div>
+<div class="line"><a name="l00777"></a><span class="lineno"> 777</span>  uint8_t s_length = <a class="code" href="svd_8c.html#a91b85e542b1fc44d3500ba52aecb8e0e">svd_get_single_values_num</a>(m, n);</div>
+<div class="line"><a name="l00778"></a><span class="lineno"> 778</span>  </div>
+<div class="line"><a name="l00779"></a><span class="lineno"> 779</span>  printf(<span class="stringliteral">"matrix%d =\n"</span>, i);</div>
+<div class="line"><a name="l00780"></a><span class="lineno"> 780</span>  <a class="code" href="matrix_8h.html#a32ab12965ec43c2acf65cf9dd510353a">matrix_print</a>(m, n, matrix_arr);</div>
+<div class="line"><a name="l00781"></a><span class="lineno"> 781</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00782"></a><span class="lineno"> 782</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> s[s_length];</div>
+<div class="line"><a name="l00783"></a><span class="lineno"> 783</span>  <a class="code" href="svd_8c.html#acdccfce5b7732e6334ca5a521c57e63e">svd</a>(m, n, matrix_arr, u_dim.<a class="code" href="structmatrix__dim__t.html#a853244a0562d43bfdcdcb704ed707721">row_num</a>, u_dim.<a class="code" href="structmatrix__dim__t.html#aac6b6ff205184047714d5c22019bdbab">col_num</a>, U, S, V, s_length,</div>
+<div class="line"><a name="l00784"></a><span class="lineno"> 784</span>  s);</div>
+<div class="line"><a name="l00785"></a><span class="lineno"> 785</span>  </div>
+<div class="line"><a name="l00786"></a><span class="lineno"> 786</span>  printf(<span class="stringliteral">"U%d =\n"</span>, i);</div>
+<div class="line"><a name="l00787"></a><span class="lineno"> 787</span>  <a class="code" href="matrix_8h.html#a32ab12965ec43c2acf65cf9dd510353a">matrix_print</a>(u_dim.<a class="code" href="structmatrix__dim__t.html#a853244a0562d43bfdcdcb704ed707721">row_num</a>, u_dim.<a class="code" href="structmatrix__dim__t.html#aac6b6ff205184047714d5c22019bdbab">col_num</a>, U);</div>
+<div class="line"><a name="l00788"></a><span class="lineno"> 788</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00789"></a><span class="lineno"> 789</span>  </div>
+<div class="line"><a name="l00790"></a><span class="lineno"> 790</span>  printf(<span class="stringliteral">"S%d =\n"</span>, i);</div>
+<div class="line"><a name="l00791"></a><span class="lineno"> 791</span>  <a class="code" href="matrix_8h.html#a32ab12965ec43c2acf65cf9dd510353a">matrix_print</a>(u_dim.<a class="code" href="structmatrix__dim__t.html#aac6b6ff205184047714d5c22019bdbab">col_num</a>, n, S);</div>
+<div class="line"><a name="l00792"></a><span class="lineno"> 792</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00793"></a><span class="lineno"> 793</span>  </div>
+<div class="line"><a name="l00794"></a><span class="lineno"> 794</span>  printf(<span class="stringliteral">"V%d =\n"</span>, i);</div>
+<div class="line"><a name="l00795"></a><span class="lineno"> 795</span>  <a class="code" href="matrix_8h.html#a32ab12965ec43c2acf65cf9dd510353a">matrix_print</a>(n, n, V);</div>
+<div class="line"><a name="l00796"></a><span class="lineno"> 796</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00797"></a><span class="lineno"> 797</span>  </div>
+<div class="line"><a name="l00798"></a><span class="lineno"> 798</span>  printf(<span class="stringliteral">"s%d = "</span>, i);</div>
+<div class="line"><a name="l00799"></a><span class="lineno"> 799</span>  printf(<span class="stringliteral">"{"</span>);</div>
+<div class="line"><a name="l00800"></a><span class="lineno"> 800</span>  <span class="keywordflow">for</span> (uint8_t i = 0; i < s_length; i++) {</div>
+<div class="line"><a name="l00801"></a><span class="lineno"> 801</span>  printf(<span class="stringliteral">"%5.4f "</span>, s[i]);</div>
+<div class="line"><a name="l00802"></a><span class="lineno"> 802</span>  <span class="keywordflow">if</span> (i < s_length - 1) {</div>
+<div class="line"><a name="l00803"></a><span class="lineno"> 803</span>  printf(<span class="stringliteral">", "</span>);</div>
+<div class="line"><a name="l00804"></a><span class="lineno"> 804</span>  }</div>
+<div class="line"><a name="l00805"></a><span class="lineno"> 805</span>  }</div>
+<div class="line"><a name="l00806"></a><span class="lineno"> 806</span>  printf(<span class="stringliteral">"}"</span>);</div>
+<div class="line"><a name="l00807"></a><span class="lineno"> 807</span>  </div>
+<div class="line"><a name="l00808"></a><span class="lineno"> 808</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00809"></a><span class="lineno"> 809</span> }</div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="asvd_8c_html_a55b4a07eb7dbd09f7fa1d15debd44595"><div class="ttname"><a href="svd_8c.html#a55b4a07eb7dbd09f7fa1d15debd44595">svd_compute_print_U_S_V_s</a></div><div class="ttdeci">void svd_compute_print_U_S_V_s(uint8_t m, uint8_t n, matrix_t matrix_arr[m][n], uint8_t i)</div><div class="ttdoc">Compute and print the SVD of a matrix.</div><div class="ttdef"><b>Definition:</b> <a href="svd_8c_source.html#l00766">svd.c:766</a></div></div>
+<div class="ttc" id="asvd_8c_html_ae92d53fe415ccfd63a21bb36936294cb"><div class="ttname"><a href="svd_8c.html#ae92d53fe415ccfd63a21bb36936294cb">svd_get_reciproc_singular_values</a></div><div class="ttdeci">void svd_get_reciproc_singular_values(uint8_t m, uint8_t n, uint8_t length, matrix_t singl_values_arr[], matrix_t recip_singl_values_arr[])</div><div class="ttdoc">Compute the reciprocal singular values.</div><div class="ttdef"><b>Definition:</b> <a href="svd_8c_source.html#l00747">svd.c:747</a></div></div>
+<div class="ttc" id="amatrix_8h_html_a0e06b2cfb86340e88be7b1219bef0ce3"><div class="ttname"><a href="matrix_8h.html#a0e06b2cfb86340e88be7b1219bef0ce3">matrix_clear</a></div><div class="ttdeci">void matrix_clear(uint8_t m, uint8_t n, matrix_t matrix[m][n])</div><div class="ttdoc">Clear all the elements of the vector.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00046">matrix.c:46</a></div></div>
+<div class="ttc" id="astructmatrix__dim__t_html_a853244a0562d43bfdcdcb704ed707721"><div class="ttname"><a href="structmatrix__dim__t.html#a853244a0562d43bfdcdcb704ed707721">matrix_dim_t::row_num</a></div><div class="ttdeci">uint8_t row_num</div><div class="ttdoc">the row number</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8h_source.html#l00061">matrix.h:61</a></div></div>
+<div class="ttc" id="asvd_8h_html_a70d46444b7291fdb50510447bb1ab9a4"><div class="ttname"><a href="svd_8h.html#a70d46444b7291fdb50510447bb1ab9a4">SVD_SPLIT_AT_NEGLIGIBLE_VALUES</a></div><div class="ttdeci">#define SVD_SPLIT_AT_NEGLIGIBLE_VALUES</div><div class="ttdoc">The case of splitting at negligible values.</div><div class="ttdef"><b>Definition:</b> <a href="svd_8h_source.html#l00043">svd.h:43</a></div></div>
+<div class="ttc" id="asvd_8h_html_af9e7db6685a0631312bfb93cc58dd756"><div class="ttname"><a href="svd_8h.html#af9e7db6685a0631312bfb93cc58dd756">SVD_QR_STEP</a></div><div class="ttdeci">#define SVD_QR_STEP</div><div class="ttdoc">The case of the QR-step.</div><div class="ttdef"><b>Definition:</b> <a href="svd_8h_source.html#l00048">svd.h:48</a></div></div>
+<div class="ttc" id="asvd_8h_html_aa2f21266e1086a3971dfd02ee4b48ce5"><div class="ttname"><a href="svd_8h.html#aa2f21266e1086a3971dfd02ee4b48ce5">SVD_COMPUTE_NEGLIGIBLE_VALUES</a></div><div class="ttdeci">#define SVD_COMPUTE_NEGLIGIBLE_VALUES</div><div class="ttdoc">The case of computing negligible values.</div><div class="ttdef"><b>Definition:</b> <a href="svd_8h_source.html#l00038">svd.h:38</a></div></div>
+<div class="ttc" id="amatrix_8h_html"><div class="ttname"><a href="matrix_8h.html">matrix.h</a></div><div class="ttdoc">Matrix computations.</div></div>
+<div class="ttc" id="astructmatrix__dim__t_html"><div class="ttname"><a href="structmatrix__dim__t.html">matrix_dim_t</a></div><div class="ttdoc">A structure to define the row and column number of a matrix.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8h_source.html#l00060">matrix.h:60</a></div></div>
+<div class="ttc" id="asvd_8c_html_aa65fbd187ce13d0da98cecb40cfa3b07"><div class="ttname"><a href="svd_8c.html#aa65fbd187ce13d0da98cecb40cfa3b07">svd_get_V_dim</a></div><div class="ttdeci">void svd_get_V_dim(uint8_t m, uint8_t n, matrix_dim_t *v_dim)</div><div class="ttdoc">Calculate the dimension of the matrix V.</div><div class="ttdef"><b>Definition:</b> <a href="svd_8c_source.html#l00108">svd.c:108</a></div></div>
+<div class="ttc" id="asvd_8h_html"><div class="ttname"><a href="svd_8h.html">svd.h</a></div><div class="ttdoc">Algorithm for the Singular Value Decomposition (SVD).</div></div>
+<div class="ttc" id="asvd_8c_html_acdccfce5b7732e6334ca5a521c57e63e"><div class="ttname"><a href="svd_8c.html#acdccfce5b7732e6334ca5a521c57e63e">svd</a></div><div class="ttdeci">void svd(uint8_t m, uint8_t n, matrix_t A[m][n], uint8_t u_m, uint8_t u_n, matrix_t U[u_m][u_n], matrix_t S[u_n][n], matrix_t V[n][n], uint8_t sing_vec_length, matrix_t singl_values_vec[])</div><div class="ttdoc">Compute the Singular-Value Decomposition (SVD) of a matrix.</div><div class="ttdef"><b>Definition:</b> <a href="svd_8c_source.html#l00119">svd.c:119</a></div></div>
+<div class="ttc" id="amatrix_8h_html_af38ac6b76d645fea9abd6caeb4d9dd31"><div class="ttname"><a href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a></div><div class="ttdeci">#define matrix_t</div><div class="ttdoc">Define the data type of the matrix elements.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8h_source.html#l00038">matrix.h:38</a></div></div>
+<div class="ttc" id="asvd_8c_html_a91b85e542b1fc44d3500ba52aecb8e0e"><div class="ttname"><a href="svd_8c.html#a91b85e542b1fc44d3500ba52aecb8e0e">svd_get_single_values_num</a></div><div class="ttdeci">uint8_t svd_get_single_values_num(uint8_t m, uint8_t n)</div><div class="ttdoc">Calculate the number of the singular values.</div><div class="ttdef"><b>Definition:</b> <a href="svd_8c_source.html#l00114">svd.c:114</a></div></div>
+<div class="ttc" id="avector_8h_html"><div class="ttname"><a href="vector_8h.html">vector.h</a></div><div class="ttdoc">Vector computations.</div></div>
+<div class="ttc" id="asvd_8c_html_aeb7ac3eac076a0f52c729849599808a6"><div class="ttname"><a href="svd_8c.html#aeb7ac3eac076a0f52c729849599808a6">svd_get_S_dim</a></div><div class="ttdeci">void svd_get_S_dim(uint8_t m, uint8_t n, matrix_dim_t *s_dim)</div><div class="ttdoc">Calculate the dimension of the matrix S.</div><div class="ttdef"><b>Definition:</b> <a href="svd_8c_source.html#l00102">svd.c:102</a></div></div>
+<div class="ttc" id="asvd_8c_html_a8194826f85cc3105c4d8d4f342ca8df8"><div class="ttname"><a href="svd_8c.html#a8194826f85cc3105c4d8d4f342ca8df8">svd_get_U_dim</a></div><div class="ttdeci">void svd_get_U_dim(uint8_t m, uint8_t n, matrix_dim_t *u_dim)</div><div class="ttdoc">Calculate the dimension of the matrix U.</div><div class="ttdef"><b>Definition:</b> <a href="svd_8c_source.html#l00096">svd.c:96</a></div></div>
+<div class="ttc" id="amatrix_8h_html_a32ab12965ec43c2acf65cf9dd510353a"><div class="ttname"><a href="matrix_8h.html#a32ab12965ec43c2acf65cf9dd510353a">matrix_print</a></div><div class="ttdeci">void matrix_print(uint8_t m, uint8_t n, matrix_t matrix[m][n])</div><div class="ttdoc">Display the values of the matrix elements.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00141">matrix.c:141</a></div></div>
+<div class="ttc" id="asvd_8h_html_acdb2d1d5cfdead81a1c247037b06823a"><div class="ttname"><a href="svd_8h.html#acdb2d1d5cfdead81a1c247037b06823a">SVD_ORDER_ABSOLUTE_SING_VALUES</a></div><div class="ttdeci">#define SVD_ORDER_ABSOLUTE_SING_VALUES</div><div class="ttdoc">The case of the order of absolute singular values.</div><div class="ttdef"><b>Definition:</b> <a href="svd_8h_source.html#l00053">svd.h:53</a></div></div>
+<div class="ttc" id="astructmatrix__dim__t_html_aac6b6ff205184047714d5c22019bdbab"><div class="ttname"><a href="structmatrix__dim__t.html#aac6b6ff205184047714d5c22019bdbab">matrix_dim_t::col_num</a></div><div class="ttdeci">uint8_t col_num</div><div class="ttdoc">the column number</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8h_source.html#l00062">matrix.h:62</a></div></div>
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+ <div class="summary">
+<a href="#define-members">Macros</a> |
+<a href="#func-members">Functions</a> </div>
+ <div class="headertitle">
+<div class="title">svd.h File Reference<div class="ingroups"><a class="el" href="group__linear__algebra.html">LINEAR_ALGEBRA</a> » <a class="el" href="group__matrix__decompositions.html">MATRIX_DECOMPOSITIONS</a></div></div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Algorithm for the Singular Value Decomposition (SVD).
+<a href="#details">More...</a></p>
+<div class="textblock"><code>#include "<a class="el" href="matrix_8h_source.html">matrix.h</a>"</code><br />
+</div>
+<p><a href="svd_8h_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="define-members"></a>
+Macros</h2></td></tr>
+<tr class="memitem:aa2f21266e1086a3971dfd02ee4b48ce5"><td class="memItemLeft" align="right" valign="top"><a id="aa2f21266e1086a3971dfd02ee4b48ce5"></a>
+#define </td><td class="memItemRight" valign="bottom"><a class="el" href="svd_8h.html#aa2f21266e1086a3971dfd02ee4b48ce5">SVD_COMPUTE_NEGLIGIBLE_VALUES</a>   1</td></tr>
+<tr class="memdesc:aa2f21266e1086a3971dfd02ee4b48ce5"><td class="mdescLeft"> </td><td class="mdescRight">The case of computing negligible values. <br /></td></tr>
+<tr class="separator:aa2f21266e1086a3971dfd02ee4b48ce5"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a70d46444b7291fdb50510447bb1ab9a4"><td class="memItemLeft" align="right" valign="top"><a id="a70d46444b7291fdb50510447bb1ab9a4"></a>
+#define </td><td class="memItemRight" valign="bottom"><a class="el" href="svd_8h.html#a70d46444b7291fdb50510447bb1ab9a4">SVD_SPLIT_AT_NEGLIGIBLE_VALUES</a>   2</td></tr>
+<tr class="memdesc:a70d46444b7291fdb50510447bb1ab9a4"><td class="mdescLeft"> </td><td class="mdescRight">The case of splitting at negligible values. <br /></td></tr>
+<tr class="separator:a70d46444b7291fdb50510447bb1ab9a4"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:af9e7db6685a0631312bfb93cc58dd756"><td class="memItemLeft" align="right" valign="top"><a id="af9e7db6685a0631312bfb93cc58dd756"></a>
+#define </td><td class="memItemRight" valign="bottom"><a class="el" href="svd_8h.html#af9e7db6685a0631312bfb93cc58dd756">SVD_QR_STEP</a>   3</td></tr>
+<tr class="memdesc:af9e7db6685a0631312bfb93cc58dd756"><td class="mdescLeft"> </td><td class="mdescRight">The case of the QR-step. <br /></td></tr>
+<tr class="separator:af9e7db6685a0631312bfb93cc58dd756"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:acdb2d1d5cfdead81a1c247037b06823a"><td class="memItemLeft" align="right" valign="top"><a id="acdb2d1d5cfdead81a1c247037b06823a"></a>
+#define </td><td class="memItemRight" valign="bottom"><a class="el" href="svd_8h.html#acdb2d1d5cfdead81a1c247037b06823a">SVD_ORDER_ABSOLUTE_SING_VALUES</a>   4</td></tr>
+<tr class="memdesc:acdb2d1d5cfdead81a1c247037b06823a"><td class="mdescLeft"> </td><td class="mdescRight">The case of the order of absolute singular values. <br /></td></tr>
+<tr class="separator:acdb2d1d5cfdead81a1c247037b06823a"><td class="memSeparator" colspan="2"> </td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:acdccfce5b7732e6334ca5a521c57e63e"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="svd_8h.html#acdccfce5b7732e6334ca5a521c57e63e">svd</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[m][n], uint8_t u_m, uint8_t u_n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> U[u_m][u_n], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> S[u_n][n], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> V[n][n], uint8_t sing_vec_length, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> singl_values_vec[])</td></tr>
+<tr class="memdesc:acdccfce5b7732e6334ca5a521c57e63e"><td class="mdescLeft"> </td><td class="mdescRight">Compute the Singular-Value Decomposition (SVD) of a matrix. <a href="svd_8h.html#acdccfce5b7732e6334ca5a521c57e63e">More...</a><br /></td></tr>
+<tr class="separator:acdccfce5b7732e6334ca5a521c57e63e"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a8194826f85cc3105c4d8d4f342ca8df8"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="svd_8h.html#a8194826f85cc3105c4d8d4f342ca8df8">svd_get_U_dim</a> (uint8_t m, uint8_t n, <a class="el" href="structmatrix__dim__t.html">matrix_dim_t</a> *u_dim)</td></tr>
+<tr class="memdesc:a8194826f85cc3105c4d8d4f342ca8df8"><td class="mdescLeft"> </td><td class="mdescRight">Calculate the dimension of the matrix U. <a href="svd_8h.html#a8194826f85cc3105c4d8d4f342ca8df8">More...</a><br /></td></tr>
+<tr class="separator:a8194826f85cc3105c4d8d4f342ca8df8"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:aeb7ac3eac076a0f52c729849599808a6"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="svd_8h.html#aeb7ac3eac076a0f52c729849599808a6">svd_get_S_dim</a> (uint8_t m, uint8_t n, <a class="el" href="structmatrix__dim__t.html">matrix_dim_t</a> *s_dim)</td></tr>
+<tr class="memdesc:aeb7ac3eac076a0f52c729849599808a6"><td class="mdescLeft"> </td><td class="mdescRight">Calculate the dimension of the matrix S. <a href="svd_8h.html#aeb7ac3eac076a0f52c729849599808a6">More...</a><br /></td></tr>
+<tr class="separator:aeb7ac3eac076a0f52c729849599808a6"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:aa65fbd187ce13d0da98cecb40cfa3b07"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="svd_8h.html#aa65fbd187ce13d0da98cecb40cfa3b07">svd_get_V_dim</a> (uint8_t m, uint8_t n, <a class="el" href="structmatrix__dim__t.html">matrix_dim_t</a> *v_dim)</td></tr>
+<tr class="memdesc:aa65fbd187ce13d0da98cecb40cfa3b07"><td class="mdescLeft"> </td><td class="mdescRight">Calculate the dimension of the matrix V. <a href="svd_8h.html#aa65fbd187ce13d0da98cecb40cfa3b07">More...</a><br /></td></tr>
+<tr class="separator:aa65fbd187ce13d0da98cecb40cfa3b07"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a91b85e542b1fc44d3500ba52aecb8e0e"><td class="memItemLeft" align="right" valign="top">uint8_t </td><td class="memItemRight" valign="bottom"><a class="el" href="svd_8h.html#a91b85e542b1fc44d3500ba52aecb8e0e">svd_get_single_values_num</a> (uint8_t m, uint8_t n)</td></tr>
+<tr class="memdesc:a91b85e542b1fc44d3500ba52aecb8e0e"><td class="mdescLeft"> </td><td class="mdescRight">Calculate the number of the singular values. <a href="svd_8h.html#a91b85e542b1fc44d3500ba52aecb8e0e">More...</a><br /></td></tr>
+<tr class="separator:a91b85e542b1fc44d3500ba52aecb8e0e"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:ae92d53fe415ccfd63a21bb36936294cb"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="svd_8h.html#ae92d53fe415ccfd63a21bb36936294cb">svd_get_reciproc_singular_values</a> (uint8_t m, uint8_t n, uint8_t length, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> singl_values_arr[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> recip_singl_values_arr[])</td></tr>
+<tr class="memdesc:ae92d53fe415ccfd63a21bb36936294cb"><td class="mdescLeft"> </td><td class="mdescRight">Compute the reciprocal singular values. <a href="svd_8h.html#ae92d53fe415ccfd63a21bb36936294cb">More...</a><br /></td></tr>
+<tr class="separator:ae92d53fe415ccfd63a21bb36936294cb"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a55b4a07eb7dbd09f7fa1d15debd44595"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="svd_8h.html#a55b4a07eb7dbd09f7fa1d15debd44595">svd_compute_print_U_S_V_s</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix_arr[m][n], uint8_t i)</td></tr>
+<tr class="memdesc:a55b4a07eb7dbd09f7fa1d15debd44595"><td class="mdescLeft"> </td><td class="mdescRight">Compute and print the SVD of a matrix. <a href="svd_8h.html#a55b4a07eb7dbd09f7fa1d15debd44595">More...</a><br /></td></tr>
+<tr class="separator:a55b4a07eb7dbd09f7fa1d15debd44595"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Algorithm for the Singular Value Decomposition (SVD). </p>
+<p>Provide necessary methods to compute the compact SVD of a matrix. A = U*S*V, where U is a (m x l) orthogonal matrix, S is a (l x l) diagonal matrix, V is a (l x n) orthogonal matrix, and l = min(m,n). The SVD is computed by using the Golub–Kahan–Reinsch algorithm that works in two phases: bidiagonalization and a reduction to the diagonal form phase.</p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="svd_8h_source.html">svd.h</a>.</p>
+</div><h2 class="groupheader">Function Documentation</h2>
+<a id="acdccfce5b7732e6334ca5a521c57e63e"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#acdccfce5b7732e6334ca5a521c57e63e">◆ </a></span>svd()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void svd </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>A</em>[m][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>u_m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>u_n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>U</em>[u_m][u_n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>S</em>[u_n][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>V</em>[n][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>sing_vec_length</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>singl_values_vec</em>[] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute the Singular-Value Decomposition (SVD) of a matrix. </p>
+<p>Matrix A is transformed to A = U*S*V, where U and V are unitary matrices, and S is a diagonal matrix.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the matrix A. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix A. </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">A[][]</td><td>pointer to the matrix A. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">u_m</td><td>row number of the matrix U. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">u_n</td><td>column number of the matrix U. </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">U[][]</td><td>pointer to the matrix U. </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">S[][]</td><td>pointer to the matrix S. </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">V[][]</td><td>pointer to the matrix V. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">sing_vec_length</td><td>length of the singular vector. </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">singl_values_vec[]</td><td>pointer to the vector saving the singular values. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="svd_8c_source.html#l00119">119</a> of file <a class="el" href="svd_8c_source.html">svd.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="matrix_8c_source.html#l00752">matrix_get_two_norm()</a>, <a class="el" href="svd_8c_source.html#l00766">svd_compute_print_U_S_V_s()</a>, and <a class="el" href="trilateration_8c_source.html#l00149">trilateration_get_rank_and_homogeneous_solution()</a>.</p>
+
+</div>
+</div>
+<a id="a55b4a07eb7dbd09f7fa1d15debd44595"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a55b4a07eb7dbd09f7fa1d15debd44595">◆ </a></span>svd_compute_print_U_S_V_s()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void svd_compute_print_U_S_V_s </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>matrix_arr</em>[m][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>i</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute and print the SVD of a matrix. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the matrix to transform in SVD. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix to transform in SVD. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">matrix_arr[][]</td><td>pointer to the matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">i</td><td>label. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="svd_8c_source.html#l00766">766</a> of file <a class="el" href="svd_8c_source.html">svd.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00062">matrix_dim_t::col_num</a>, <a class="el" href="matrix_8c_source.html#l00141">matrix_print()</a>, <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>, <a class="el" href="matrix_8h_source.html#l00061">matrix_dim_t::row_num</a>, <a class="el" href="svd_8c_source.html#l00119">svd()</a>, <a class="el" href="svd_8c_source.html#l00114">svd_get_single_values_num()</a>, and <a class="el" href="svd_8c_source.html#l00096">svd_get_U_dim()</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="svd__test_8c_source.html#l00032">svd_test()</a>.</p>
+
+</div>
+</div>
+<a id="ae92d53fe415ccfd63a21bb36936294cb"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#ae92d53fe415ccfd63a21bb36936294cb">◆ </a></span>svd_get_reciproc_singular_values()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void svd_get_reciproc_singular_values </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>length</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>singl_values_arr</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>recip_singl_values_arr</em>[] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute the reciprocal singular values. </p>
+<p>This method is based on the singular values.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the matrix to transform in SVD. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix to transform in SVD. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">length</td><td>length of the array of single values. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">singl_values_arr</td><td>pointer to the array of single values. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">recip_singl_values_arr</td><td>pointer to the array of the reciprocal singular values. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="svd_8c_source.html#l00747">747</a> of file <a class="el" href="svd_8c_source.html">svd.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>.</p>
+
+</div>
+</div>
+<a id="aeb7ac3eac076a0f52c729849599808a6"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#aeb7ac3eac076a0f52c729849599808a6">◆ </a></span>svd_get_S_dim()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void svd_get_S_dim </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="structmatrix__dim__t.html">matrix_dim_t</a> * </td>
+ <td class="paramname"><em>s_dim</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Calculate the dimension of the matrix S. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the matrix to decompose. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix to decompose. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">s_dim</td><td>pointer to the dimension struct. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="svd_8c_source.html#l00102">102</a> of file <a class="el" href="svd_8c_source.html">svd.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00061">matrix_dim_t::row_num</a>.</p>
+
+</div>
+</div>
+<a id="a91b85e542b1fc44d3500ba52aecb8e0e"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a91b85e542b1fc44d3500ba52aecb8e0e">◆ </a></span>svd_get_single_values_num()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">uint8_t svd_get_single_values_num </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Calculate the number of the singular values. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the matrix to decompose. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix to decompose.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the number of the singular values. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="svd_8c_source.html#l00114">114</a> of file <a class="el" href="svd_8c_source.html">svd.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="matrix_8c_source.html#l00752">matrix_get_two_norm()</a>, <a class="el" href="moore__penrose__pseudo__inverse_8c_source.html#l00038">moore_penrose_get_pinv()</a>, <a class="el" href="svd_8c_source.html#l00766">svd_compute_print_U_S_V_s()</a>, and <a class="el" href="trilateration_8c_source.html#l00149">trilateration_get_rank_and_homogeneous_solution()</a>.</p>
+
+</div>
+</div>
+<a id="a8194826f85cc3105c4d8d4f342ca8df8"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a8194826f85cc3105c4d8d4f342ca8df8">◆ </a></span>svd_get_U_dim()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void svd_get_U_dim </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="structmatrix__dim__t.html">matrix_dim_t</a> * </td>
+ <td class="paramname"><em>u_dim</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Calculate the dimension of the matrix U. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the matrix to decompose. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix to decompose. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">u_dim</td><td>pointer to the dimension struct. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="svd_8c_source.html#l00096">96</a> of file <a class="el" href="svd_8c_source.html">svd.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00062">matrix_dim_t::col_num</a>, and <a class="el" href="matrix_8h_source.html#l00061">matrix_dim_t::row_num</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="matrix_8c_source.html#l00752">matrix_get_two_norm()</a>, <a class="el" href="moore__penrose__pseudo__inverse_8c_source.html#l00038">moore_penrose_get_pinv()</a>, <a class="el" href="svd_8c_source.html#l00766">svd_compute_print_U_S_V_s()</a>, and <a class="el" href="trilateration_8c_source.html#l00149">trilateration_get_rank_and_homogeneous_solution()</a>.</p>
+
+</div>
+</div>
+<a id="aa65fbd187ce13d0da98cecb40cfa3b07"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#aa65fbd187ce13d0da98cecb40cfa3b07">◆ </a></span>svd_get_V_dim()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void svd_get_V_dim </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="structmatrix__dim__t.html">matrix_dim_t</a> * </td>
+ <td class="paramname"><em>v_dim</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Calculate the dimension of the matrix V. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>row number of the matrix to decompose. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the matrix to decompose. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">v_dim</td><td>pointer to the dimension struct. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="svd_8c_source.html#l00108">108</a> of file <a class="el" href="svd_8c_source.html">svd.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00062">matrix_dim_t::col_num</a>, and <a class="el" href="matrix_8h_source.html#l00061">matrix_dim_t::row_num</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="navelem"><a class="el" href="dir_8c4128baa09a573ad2b8b8c0061a04c9.html">linear_algebra</a></li><li class="navelem"><a class="el" href="dir_997ac76a3d72a25dec85442c5f6c585d.html">matrix_decompositions</a></li><li class="navelem"><a class="el" href="dir_f9311e7dae5ba7dbc6ad9f75e6d9537e.html">include</a></li><li class="navelem"><a class="el" href="svd_8h.html">svd.h</a></li>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
+ </ul>
+</div>
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+var svd_8h =
+[
+ [ "SVD_COMPUTE_NEGLIGIBLE_VALUES", "svd_8h.html#aa2f21266e1086a3971dfd02ee4b48ce5", null ],
+ [ "SVD_ORDER_ABSOLUTE_SING_VALUES", "svd_8h.html#acdb2d1d5cfdead81a1c247037b06823a", null ],
+ [ "SVD_QR_STEP", "svd_8h.html#af9e7db6685a0631312bfb93cc58dd756", null ],
+ [ "SVD_SPLIT_AT_NEGLIGIBLE_VALUES", "svd_8h.html#a70d46444b7291fdb50510447bb1ab9a4", null ],
+ [ "svd", "svd_8h.html#acdccfce5b7732e6334ca5a521c57e63e", null ],
+ [ "svd_compute_print_U_S_V_s", "svd_8h.html#a55b4a07eb7dbd09f7fa1d15debd44595", null ],
+ [ "svd_get_reciproc_singular_values", "svd_8h.html#ae92d53fe415ccfd63a21bb36936294cb", null ],
+ [ "svd_get_S_dim", "svd_8h.html#aeb7ac3eac076a0f52c729849599808a6", null ],
+ [ "svd_get_single_values_num", "svd_8h.html#a91b85e542b1fc44d3500ba52aecb8e0e", null ],
+ [ "svd_get_U_dim", "svd_8h.html#a8194826f85cc3105c4d8d4f342ca8df8", null ],
+ [ "svd_get_V_dim", "svd_8h.html#aa65fbd187ce13d0da98cecb40cfa3b07", null ]
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+<html xmlns="http://www.w3.org/1999/xhtml">
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+<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 1.8.16"/>
+<meta name="viewport" content="width=device-width, initial-scale=1"/>
+<title>RcdMathLib_doc: svd.h Source File</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<link href="navtree.css" rel="stylesheet" type="text/css"/>
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+<script type="text/javascript" src="navtreedata.js"></script>
+<script type="text/javascript" src="navtree.js"></script>
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+/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&dn=gpl-2.0.txt GPL-v2 */
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+<link href="search/search.css" rel="stylesheet" type="text/css"/>
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+<script type="text/javascript" src="search/search.js"></script>
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+</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">RcdMathLib_doc
+ </div>
+ <div id="projectbrief">Open Source Library for Linear and Non-linear Algebra</div>
+ </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.16 -->
+<script type="text/javascript">
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+<!-- iframe showing the search results (closed by default) -->
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+ name="MSearchResults" id="MSearchResults">
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+
+<div class="header">
+ <div class="headertitle">
+<div class="title">svd.h</div> </div>
+</div><!--header-->
+<div class="contents">
+<a href="svd_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="preprocessor">#ifndef SVD_H_</span></div>
+<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="preprocessor">#define SVD_H_</span></div>
+<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>  </div>
+<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="preprocessor">#include "<a class="code" href="matrix_8h.html">matrix.h</a>"</span></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">/* Define the cases of the Golub-Reinsch Algorithm */</span></div>
+<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  </div>
+<div class="line"><a name="l00038"></a><span class="lineno"><a class="line" href="svd_8h.html#aa2f21266e1086a3971dfd02ee4b48ce5"> 38</a></span> <span class="preprocessor">#define SVD_COMPUTE_NEGLIGIBLE_VALUES 1</span></div>
+<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>  </div>
+<div class="line"><a name="l00043"></a><span class="lineno"><a class="line" href="svd_8h.html#a70d46444b7291fdb50510447bb1ab9a4"> 43</a></span> <span class="preprocessor">#define SVD_SPLIT_AT_NEGLIGIBLE_VALUES 2</span></div>
+<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  </div>
+<div class="line"><a name="l00048"></a><span class="lineno"><a class="line" href="svd_8h.html#af9e7db6685a0631312bfb93cc58dd756"> 48</a></span> <span class="preprocessor">#define SVD_QR_STEP 3</span></div>
+<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  </div>
+<div class="line"><a name="l00053"></a><span class="lineno"><a class="line" href="svd_8h.html#acdb2d1d5cfdead81a1c247037b06823a"> 53</a></span> <span class="preprocessor">#define SVD_ORDER_ABSOLUTE_SING_VALUES 4</span></div>
+<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  </div>
+<div class="line"><a name="l00074"></a><span class="lineno"> 74</span> <span class="keywordtype">void</span> <a class="code" href="svd_8h.html#acdccfce5b7732e6334ca5a521c57e63e">svd</a>(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[m][n],</div>
+<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  uint8_t u_m, uint8_t u_n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> U[u_m][u_n],</div>
+<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> S[u_n][n], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> V[n][n],</div>
+<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  uint8_t sing_vec_length, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> singl_values_vec[]);</div>
+<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  </div>
+<div class="line"><a name="l00087"></a><span class="lineno"> 87</span> <span class="keywordtype">void</span> <a class="code" href="svd_8h.html#a8194826f85cc3105c4d8d4f342ca8df8">svd_get_U_dim</a>(uint8_t m, uint8_t n, <a class="code" href="structmatrix__dim__t.html">matrix_dim_t</a> *u_dim);</div>
+<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  </div>
+<div class="line"><a name="l00097"></a><span class="lineno"> 97</span> <span class="keywordtype">void</span> <a class="code" href="svd_8h.html#aeb7ac3eac076a0f52c729849599808a6">svd_get_S_dim</a>(uint8_t m, uint8_t n, <a class="code" href="structmatrix__dim__t.html">matrix_dim_t</a> *s_dim);</div>
+<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  </div>
+<div class="line"><a name="l00107"></a><span class="lineno"> 107</span> <span class="keywordtype">void</span> <a class="code" href="svd_8h.html#aa65fbd187ce13d0da98cecb40cfa3b07">svd_get_V_dim</a>(uint8_t m, uint8_t n, <a class="code" href="structmatrix__dim__t.html">matrix_dim_t</a> *v_dim);</div>
+<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  </div>
+<div class="line"><a name="l00118"></a><span class="lineno"> 118</span> uint8_t <a class="code" href="svd_8h.html#a91b85e542b1fc44d3500ba52aecb8e0e">svd_get_single_values_num</a>(uint8_t m, uint8_t n);</div>
+<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  </div>
+<div class="line"><a name="l00133"></a><span class="lineno"> 133</span> <span class="keywordtype">void</span> <a class="code" href="svd_8h.html#ae92d53fe415ccfd63a21bb36936294cb">svd_get_reciproc_singular_values</a>(uint8_t m, uint8_t n, uint8_t length,</div>
+<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> singl_values_arr[],</div>
+<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> recip_singl_values_arr[]</div>
+<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  );</div>
+<div class="line"><a name="l00147"></a><span class="lineno"> 147</span> <span class="keywordtype">void</span> <a class="code" href="svd_8h.html#a55b4a07eb7dbd09f7fa1d15debd44595">svd_compute_print_U_S_V_s</a>(uint8_t m, uint8_t n, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix_arr[m][n],</div>
+<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>  uint8_t i);</div>
+<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  </div>
+<div class="line"><a name="l00150"></a><span class="lineno"> 150</span> <span class="preprocessor">#endif </span><span class="comment">/* SVD_H_ */</span><span class="preprocessor"></span></div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="asvd_8h_html_aa65fbd187ce13d0da98cecb40cfa3b07"><div class="ttname"><a href="svd_8h.html#aa65fbd187ce13d0da98cecb40cfa3b07">svd_get_V_dim</a></div><div class="ttdeci">void svd_get_V_dim(uint8_t m, uint8_t n, matrix_dim_t *v_dim)</div><div class="ttdoc">Calculate the dimension of the matrix V.</div><div class="ttdef"><b>Definition:</b> <a href="svd_8c_source.html#l00108">svd.c:108</a></div></div>
+<div class="ttc" id="asvd_8h_html_acdccfce5b7732e6334ca5a521c57e63e"><div class="ttname"><a href="svd_8h.html#acdccfce5b7732e6334ca5a521c57e63e">svd</a></div><div class="ttdeci">void svd(uint8_t m, uint8_t n, matrix_t A[m][n], uint8_t u_m, uint8_t u_n, matrix_t U[u_m][u_n], matrix_t S[u_n][n], matrix_t V[n][n], uint8_t sing_vec_length, matrix_t singl_values_vec[])</div><div class="ttdoc">Compute the Singular-Value Decomposition (SVD) of a matrix.</div><div class="ttdef"><b>Definition:</b> <a href="svd_8c_source.html#l00119">svd.c:119</a></div></div>
+<div class="ttc" id="asvd_8h_html_aeb7ac3eac076a0f52c729849599808a6"><div class="ttname"><a href="svd_8h.html#aeb7ac3eac076a0f52c729849599808a6">svd_get_S_dim</a></div><div class="ttdeci">void svd_get_S_dim(uint8_t m, uint8_t n, matrix_dim_t *s_dim)</div><div class="ttdoc">Calculate the dimension of the matrix S.</div><div class="ttdef"><b>Definition:</b> <a href="svd_8c_source.html#l00102">svd.c:102</a></div></div>
+<div class="ttc" id="amatrix_8h_html"><div class="ttname"><a href="matrix_8h.html">matrix.h</a></div><div class="ttdoc">Matrix computations.</div></div>
+<div class="ttc" id="asvd_8h_html_a55b4a07eb7dbd09f7fa1d15debd44595"><div class="ttname"><a href="svd_8h.html#a55b4a07eb7dbd09f7fa1d15debd44595">svd_compute_print_U_S_V_s</a></div><div class="ttdeci">void svd_compute_print_U_S_V_s(uint8_t m, uint8_t n, matrix_t matrix_arr[m][n], uint8_t i)</div><div class="ttdoc">Compute and print the SVD of a matrix.</div><div class="ttdef"><b>Definition:</b> <a href="svd_8c_source.html#l00766">svd.c:766</a></div></div>
+<div class="ttc" id="astructmatrix__dim__t_html"><div class="ttname"><a href="structmatrix__dim__t.html">matrix_dim_t</a></div><div class="ttdoc">A structure to define the row and column number of a matrix.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8h_source.html#l00060">matrix.h:60</a></div></div>
+<div class="ttc" id="asvd_8h_html_a91b85e542b1fc44d3500ba52aecb8e0e"><div class="ttname"><a href="svd_8h.html#a91b85e542b1fc44d3500ba52aecb8e0e">svd_get_single_values_num</a></div><div class="ttdeci">uint8_t svd_get_single_values_num(uint8_t m, uint8_t n)</div><div class="ttdoc">Calculate the number of the singular values.</div><div class="ttdef"><b>Definition:</b> <a href="svd_8c_source.html#l00114">svd.c:114</a></div></div>
+<div class="ttc" id="asvd_8h_html_ae92d53fe415ccfd63a21bb36936294cb"><div class="ttname"><a href="svd_8h.html#ae92d53fe415ccfd63a21bb36936294cb">svd_get_reciproc_singular_values</a></div><div class="ttdeci">void svd_get_reciproc_singular_values(uint8_t m, uint8_t n, uint8_t length, matrix_t singl_values_arr[], matrix_t recip_singl_values_arr[])</div><div class="ttdoc">Compute the reciprocal singular values.</div><div class="ttdef"><b>Definition:</b> <a href="svd_8c_source.html#l00747">svd.c:747</a></div></div>
+<div class="ttc" id="amatrix_8h_html_af38ac6b76d645fea9abd6caeb4d9dd31"><div class="ttname"><a href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a></div><div class="ttdeci">#define matrix_t</div><div class="ttdoc">Define the data type of the matrix elements.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8h_source.html#l00038">matrix.h:38</a></div></div>
+<div class="ttc" id="asvd_8h_html_a8194826f85cc3105c4d8d4f342ca8df8"><div class="ttname"><a href="svd_8h.html#a8194826f85cc3105c4d8d4f342ca8df8">svd_get_U_dim</a></div><div class="ttdeci">void svd_get_U_dim(uint8_t m, uint8_t n, matrix_dim_t *u_dim)</div><div class="ttdoc">Calculate the dimension of the matrix U.</div><div class="ttdef"><b>Definition:</b> <a href="svd_8c_source.html#l00096">svd.c:96</a></div></div>
+<!-- start footer part -->
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+ </div>
+ <div id="projectbrief">Open Source Library for Linear and Non-linear Algebra</div>
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+
+<div class="header">
+ <div class="summary">
+<a href="#func-members">Functions</a> </div>
+ <div class="headertitle">
+<div class="title">svd_test.c File Reference</div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Examples of the SVD algorithm.
+<a href="#details">More...</a></p>
+<div class="textblock"><code>#include <stdio.h></code><br />
+<code>#include <inttypes.h></code><br />
+<code>#include "<a class="el" href="svd_8h_source.html">svd.h</a>"</code><br />
+<code>#include "<a class="el" href="matrix_8h_source.html">matrix.h</a>"</code><br />
+<code>#include "<a class="el" href="vector_8h_source.html">vector.h</a>"</code><br />
+</div>
+<p><a href="svd__test_8c_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a5b3fa4be9f289d4078fdd009719a4077"><td class="memItemLeft" align="right" valign="top"><a id="a5b3fa4be9f289d4078fdd009719a4077"></a>
+void </td><td class="memItemRight" valign="bottom"><a class="el" href="svd__test_8c.html#a5b3fa4be9f289d4078fdd009719a4077">svd_test</a> (void)</td></tr>
+<tr class="memdesc:a5b3fa4be9f289d4078fdd009719a4077"><td class="mdescLeft"> </td><td class="mdescRight">Examples of the Givens algorithm. <br /></td></tr>
+<tr class="separator:a5b3fa4be9f289d4078fdd009719a4077"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Examples of the SVD algorithm. </p>
+<p>SVD algorithm examples (see the <a class="el" href="svd_8h.html">Singular Value Decomposition (SVD)</a> approach).</p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="svd__test_8c_source.html">svd_test.c</a>.</p>
+</div></div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
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+ <ul>
+ <li class="navelem"><a class="el" href="dir_d28a4824dc47e487b107a5db32ef43c4.html">examples</a></li><li class="navelem"><a class="el" href="dir_bb878afedbb83074fe4b7f6b65e06747.html">linear_algebra</a></li><li class="navelem"><a class="el" href="dir_7288dc322cfbdfeb7861adfdccb1ddcd.html">matrix_decompositions</a></li><li class="navelem"><a class="el" href="svd__test_8c.html">svd_test.c</a></li>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
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+ <div id="projectname">RcdMathLib_doc
+ </div>
+ <div id="projectbrief">Open Source Library for Linear and Non-linear Algebra</div>
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+ onmouseover="return searchBox.OnSearchSelectShow()"
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+<div class="header">
+ <div class="headertitle">
+<div class="title">svd_test.c</div> </div>
+</div><!--header-->
+<div class="contents">
+<a href="svd__test_8c.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="preprocessor">#include <stdio.h></span></div>
+<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#include <inttypes.h></span></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="preprocessor">#include "<a class="code" href="svd_8h.html">svd.h</a>"</span></div>
+<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="preprocessor">#include "<a class="code" href="matrix_8h.html">matrix.h</a>"</span></div>
+<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="preprocessor">#include "<a class="code" href="vector_8h.html">vector.h</a>"</span></div>
+<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>  </div>
+<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  </div>
+<div class="line"><a name="l00032"></a><span class="lineno"><a class="line" href="svd__test_8c.html#a5b3fa4be9f289d4078fdd009719a4077"> 32</a></span> <span class="keywordtype">void</span> <a class="code" href="svd__test_8c.html#a5b3fa4be9f289d4078fdd009719a4077">svd_test</a>(<span class="keywordtype">void</span>)</div>
+<div class="line"><a name="l00033"></a><span class="lineno"> 33</span> {</div>
+<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  uint8_t m, n;</div>
+<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  uint8_t i = 0;</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">//m<n</span></div>
+<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix1_arr[3][4] = { { 1.0000, -3.6000, -1.2000, -2.8400 },</div>
+<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>  { 1.0000, -7.2400, -7.1800, -2.2400 },</div>
+<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>  { 1.0000, -12.0600, -1.3400, -3.6600 } };</div>
+<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  </div>
+<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  m = 3;</div>
+<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  n = 4;</div>
+<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix2_arr[3][4] = {</div>
+<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  { 1, -22, 30, -20 },</div>
+<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  { 1, -26, -42, -10 },</div>
+<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  { 1, 18, -30, -14 }</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="svd_8h.html#a55b4a07eb7dbd09f7fa1d15debd44595">svd_compute_print_U_S_V_s</a>(m, n, matrix1_arr, ++i);</div>
+<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  <a class="code" href="svd_8h.html#a55b4a07eb7dbd09f7fa1d15debd44595">svd_compute_print_U_S_V_s</a>(m, n, matrix2_arr, ++i);</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>  printf(</div>
+<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  <span class="stringliteral">"######## Test %d: Singular Value Decomposition m < n : (2,3) ########\n"</span>,</div>
+<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  ++i);</div>
+<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix3_arr[2][3] = {</div>
+<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  { 3, 1, 1 },</div>
+<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  { -1, 3, 1 }</div>
+<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  };</div>
+<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  m = 2;</div>
+<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  n = 3;</div>
+<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  <a class="code" href="svd_8h.html#a55b4a07eb7dbd09f7fa1d15debd44595">svd_compute_print_U_S_V_s</a>(m, n, matrix3_arr, i);</div>
+<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  </div>
+<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  printf(</div>
+<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  <span class="stringliteral">"######## Test %d: Singular Value Decomposition m > n : (3,2) ########\n"</span>,</div>
+<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  ++i);</div>
+<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix4_arr[3][2] = {</div>
+<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  { 1, 2 },</div>
+<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  { 2, 2 },</div>
+<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  { 2, 1 }</div>
+<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  };</div>
+<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  m = 3;</div>
+<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  n = 2;</div>
+<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  <a class="code" href="svd_8h.html#a55b4a07eb7dbd09f7fa1d15debd44595">svd_compute_print_U_S_V_s</a>(m, n, matrix4_arr, i);</div>
+<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  </div>
+<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  printf(</div>
+<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  <span class="stringliteral">"######## Test %d: Singular Value Decomposition m = n : (4,4) ########\n"</span>,</div>
+<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  ++i);</div>
+<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  </div>
+<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix5_arr[4][4] = {</div>
+<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  { 6, 0, 0, 6 },</div>
+<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  { 2, 5, 0, 4 },</div>
+<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  { 0, 6, 2, 3 },</div>
+<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  { 0, 1, 5, 5 }</div>
+<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  };</div>
+<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  m = 4;</div>
+<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  n = 4;</div>
+<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  <a class="code" href="svd_8h.html#a55b4a07eb7dbd09f7fa1d15debd44595">svd_compute_print_U_S_V_s</a>(m, n, matrix5_arr, i);</div>
+<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  </div>
+<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  printf(</div>
+<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  <span class="stringliteral">"######## Test %d: Singular Value Decomposition m < n : (4,7) ########\n"</span>,</div>
+<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  ++i);</div>
+<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix6_arr[4][7] = {</div>
+<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  { 2, 5, 4, 6, 3, 2, 1 },</div>
+<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  { 1, 2, 4, 6, 0, 0, 6 },</div>
+<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  { 2, 1, 1, 5, 4, 6, 3 },</div>
+<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  { 3, 3, 1, 0, 4, 5, 0 }</div>
+<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  };</div>
+<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  m = 4;</div>
+<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  n = 7;</div>
+<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  <a class="code" href="svd_8h.html#a55b4a07eb7dbd09f7fa1d15debd44595">svd_compute_print_U_S_V_s</a>(m, n, matrix6_arr, i);</div>
+<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  </div>
+<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  printf(</div>
+<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  <span class="stringliteral">"######## Test %d: Singular Value Decomposition m = n : (3,3) ########\n"</span>,</div>
+<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  ++i);</div>
+<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix7_arr[3][3] = {</div>
+<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  { 1., 2., 3 },</div>
+<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  { 4., 5., 6. },</div>
+<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  { 7., 8., 10. }</div>
+<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  };</div>
+<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  m = 3;</div>
+<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  n = 3;</div>
+<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  <a class="code" href="svd_8h.html#a55b4a07eb7dbd09f7fa1d15debd44595">svd_compute_print_U_S_V_s</a>(m, n, matrix7_arr, i);</div>
+<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  </div>
+<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  printf(</div>
+<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  <span class="stringliteral">"######## Test %d: Singular Value Decomposition m < n : (5,7) ########\n"</span>,</div>
+<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  ++i);</div>
+<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix8_arr[5][7] = {</div>
+<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  { 6, 2, 7, 3, 6, 0, 1 },</div>
+<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  { 7, 1, 6, 3, 6, 4, 0 },</div>
+<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  { 3, 5, 1, 1, 0, 2, 3 },</div>
+<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  { 5, 5, 7, 3, 1, 3, 0 },</div>
+<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  { 6, 5, 4, 1, 2, 7, 1 }</div>
+<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  };</div>
+<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  m = 5;</div>
+<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  n = 7;</div>
+<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  <a class="code" href="svd_8h.html#a55b4a07eb7dbd09f7fa1d15debd44595">svd_compute_print_U_S_V_s</a>(m, n, matrix8_arr, i);</div>
+<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  </div>
+<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  <span class="comment">//m>n</span></div>
+<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  printf(</div>
+<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  <span class="stringliteral">"######## Test %d: Singular Value Decomposition m > n : (7,5) ########\n"</span>,</div>
+<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  ++i);</div>
+<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix9_arr[7][5] = {</div>
+<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  { 6.395, 2.897, 7.333, 3.777, 6.543 },</div>
+<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  { 7.635, 1.235, 6.301, 3.356, 6.777 },</div>
+<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  { 3.595, 5.901, 1.408, 1.697, 0.539 },</div>
+<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  { 5.501, 5.562, 7.271, 3.907, 1.651 },</div>
+<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  { 6.198, 5.069, 4.238, 1.388, 2.855 },</div>
+<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  { 0.000, 1.999, 4.103, 0.561, 2.908 },</div>
+<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  { 3.834, 3.172, 0.009, 7.069, 1.075 }</div>
+<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  };</div>
+<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  </div>
+<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  m = 7;</div>
+<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  n = 5;</div>
+<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  <a class="code" href="svd_8h.html#a55b4a07eb7dbd09f7fa1d15debd44595">svd_compute_print_U_S_V_s</a>(m, n, matrix9_arr, i);</div>
+<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  </div>
+<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  printf(</div>
+<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>  <span class="stringliteral">"######## Test %d: Singular Value Decomposition m > n : (5,7) ########\n"</span>,</div>
+<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>  ++i);</div>
+<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> matrix10_arr[5][7] = {</div>
+<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>  { 6.395, 2.897, 7.333, 3.777, 6.543, 0.000, 1.999 },</div>
+<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>  { 7.635, 1.235, 6.301, 3.356, 6.777, 4.103, 0.561 },</div>
+<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>  { 3.595, 5.901, 1.408, 1.697, 0.539, 2.908, 3.834 },</div>
+<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>  { 5.501, 5.562, 7.271, 3.907, 1.651, 3.172, 0.009 },</div>
+<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>  { 6.198, 5.069, 4.238, 1.388, 2.855, 7.069, 1.075 }</div>
+<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  };</div>
+<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>  m = 5;</div>
+<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  n = 7;</div>
+<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  <a class="code" href="svd_8h.html#a55b4a07eb7dbd09f7fa1d15debd44595">svd_compute_print_U_S_V_s</a>(m, n, matrix10_arr, i);</div>
+<div class="line"><a name="l00159"></a><span class="lineno"> 159</span> }</div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="amatrix_8h_html"><div class="ttname"><a href="matrix_8h.html">matrix.h</a></div><div class="ttdoc">Matrix computations.</div></div>
+<div class="ttc" id="asvd_8h_html_a55b4a07eb7dbd09f7fa1d15debd44595"><div class="ttname"><a href="svd_8h.html#a55b4a07eb7dbd09f7fa1d15debd44595">svd_compute_print_U_S_V_s</a></div><div class="ttdeci">void svd_compute_print_U_S_V_s(uint8_t m, uint8_t n, matrix_t matrix_arr[m][n], uint8_t i)</div><div class="ttdoc">Compute and print the SVD of a matrix.</div><div class="ttdef"><b>Definition:</b> <a href="svd_8c_source.html#l00766">svd.c:766</a></div></div>
+<div class="ttc" id="asvd_8h_html"><div class="ttname"><a href="svd_8h.html">svd.h</a></div><div class="ttdoc">Algorithm for the Singular Value Decomposition (SVD).</div></div>
+<div class="ttc" id="amatrix_8h_html_af38ac6b76d645fea9abd6caeb4d9dd31"><div class="ttname"><a href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a></div><div class="ttdeci">#define matrix_t</div><div class="ttdoc">Define the data type of the matrix elements.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8h_source.html#l00038">matrix.h:38</a></div></div>
+<div class="ttc" id="avector_8h_html"><div class="ttname"><a href="vector_8h.html">vector.h</a></div><div class="ttdoc">Vector computations.</div></div>
+<div class="ttc" id="asvd__test_8c_html_a5b3fa4be9f289d4078fdd009719a4077"><div class="ttname"><a href="svd__test_8c.html#a5b3fa4be9f289d4078fdd009719a4077">svd_test</a></div><div class="ttdeci">void svd_test(void)</div><div class="ttdoc">Examples of the Givens algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="svd__test_8c_source.html#l00032">svd_test.c:32</a></div></div>
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+ name="MSearchResults" id="MSearchResults">
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+</div>
+
+<div class="header">
+ <div class="summary">
+<a href="#func-members">Functions</a> </div>
+ <div class="headertitle">
+<div class="title">svd_test.h File Reference<div class="ingroups"><a class="el" href="group__examples.html">EXAMPLES</a></div></div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Examples of the SVD algorithm.
+<a href="#details">More...</a></p>
+
+<p><a href="svd__test_8h_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a5b3fa4be9f289d4078fdd009719a4077"><td class="memItemLeft" align="right" valign="top"><a id="a5b3fa4be9f289d4078fdd009719a4077"></a>
+void </td><td class="memItemRight" valign="bottom"><a class="el" href="svd__test_8h.html#a5b3fa4be9f289d4078fdd009719a4077">svd_test</a> (void)</td></tr>
+<tr class="memdesc:a5b3fa4be9f289d4078fdd009719a4077"><td class="mdescLeft"> </td><td class="mdescRight">Examples of the Givens algorithm. <br /></td></tr>
+<tr class="separator:a5b3fa4be9f289d4078fdd009719a4077"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Examples of the SVD algorithm. </p>
+<p>SVD algorithm examples (see the <a class="el" href="svd_8h.html">Singular Value Decomposition (SVD)</a> approach).</p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd></dl>
+
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+ <a href="http://www.doxygen.org/index.html">
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+ </div>
+ <div id="projectbrief">Open Source Library for Linear and Non-linear Algebra</div>
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+ <div class="headertitle">
+<div class="title">svd_test.h</div> </div>
+</div><!--header-->
+<div class="contents">
+<a href="svd__test_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#ifndef SVD_TEST_H_</span></div>
+<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="preprocessor">#define SVD_TEST_H_</span></div>
+<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>  </div>
+<div class="line"><a name="l00032"></a><span class="lineno"> 32</span> <span class="keywordtype">void</span> <a class="code" href="svd__test_8h.html#a5b3fa4be9f289d4078fdd009719a4077">svd_test</a>(<span class="keywordtype">void</span>);</div>
+<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>  </div>
+<div class="line"><a name="l00034"></a><span class="lineno"> 34</span> <span class="preprocessor">#endif </span><span class="comment">/* SVD_TEST_H_ */</span><span class="preprocessor"></span></div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="asvd__test_8h_html_a5b3fa4be9f289d4078fdd009719a4077"><div class="ttname"><a href="svd__test_8h.html#a5b3fa4be9f289d4078fdd009719a4077">svd_test</a></div><div class="ttdeci">void svd_test(void)</div><div class="ttdoc">Examples of the Givens algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="svd__test_8c_source.html#l00032">svd_test.c:32</a></div></div>
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+ <div class="summary">
+<a href="#func-members">Functions</a> </div>
+ <div class="headertitle">
+<div class="title">trilateration.c File Reference</div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Implement the trilateration algorithm.
+<a href="#details">More...</a></p>
+<div class="textblock"><code>#include <math.h></code><br />
+<code>#include <stdio.h></code><br />
+<code>#include <string.h></code><br />
+<code>#include "<a class="el" href="moore__penrose__pseudo__inverse_8h_source.html">moore_penrose_pseudo_inverse.h</a>"</code><br />
+<code>#include "<a class="el" href="matrix_8h_source.html">matrix.h</a>"</code><br />
+<code>#include "<a class="el" href="svd_8h_source.html">svd.h</a>"</code><br />
+<code>#include "<a class="el" href="trilateration_8h_source.html">trilateration.h</a>"</code><br />
+</div>
+<p><a href="trilateration_8c_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a95fc45efcb10019be21704539eeedefb"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="trilateration_8c.html#a95fc45efcb10019be21704539eeedefb">trilateration1</a> (uint8_t anchor_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> anchor_pos_matrix[anchor_num][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> pseudo_inv_matrix[4][anchor_num], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> homog_sol_arr[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> dist_arr[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> solution_x1[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> solution_x2[])</td></tr>
+<tr class="memdesc:a95fc45efcb10019be21704539eeedefb"><td class="mdescLeft"> </td><td class="mdescRight">Implement the trilateration algorithm using the pre-processed pseudo-inverse matrix. <a href="trilateration_8c.html#a95fc45efcb10019be21704539eeedefb">More...</a><br /></td></tr>
+<tr class="separator:a95fc45efcb10019be21704539eeedefb"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:adf749802a4d86c2a97a6bac50d17bfea"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="trilateration_8c.html#adf749802a4d86c2a97a6bac50d17bfea">trilateration2</a> (uint8_t anchor_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> anchor_pos_matrix[anchor_num][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> dist_arr[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> solution_x1[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> solution_x2[])</td></tr>
+<tr class="memdesc:adf749802a4d86c2a97a6bac50d17bfea"><td class="mdescLeft"> </td><td class="mdescRight">Implement the trilateration algorithm. <a href="trilateration_8c.html#adf749802a4d86c2a97a6bac50d17bfea">More...</a><br /></td></tr>
+<tr class="separator:adf749802a4d86c2a97a6bac50d17bfea"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:aadf622c7ec43dce57988a9aef1533758"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="trilateration_8c.html#aadf622c7ec43dce57988a9aef1533758">trilateration_preprocessed_get_particular_solution</a> (<a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> pseudo_inv_matrix[4][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> b_arr[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> particular_solu_arr[])</td></tr>
+<tr class="memdesc:aadf622c7ec43dce57988a9aef1533758"><td class="mdescLeft"> </td><td class="mdescRight">Compute the particular solution, which is the general solution of <img class="formulaInl" alt="$ A \vec{x_0} = \vec{b_0}$" src="form_49.png"/>. <a href="trilateration_8c.html#aadf622c7ec43dce57988a9aef1533758">More...</a><br /></td></tr>
+<tr class="separator:aadf622c7ec43dce57988a9aef1533758"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:ab5f06e68df75b4708d722c268932578c"><td class="memItemLeft" align="right" valign="top">uint8_t </td><td class="memItemRight" valign="bottom"><a class="el" href="trilateration_8c.html#ab5f06e68df75b4708d722c268932578c">trilateration_get_rank_and_homogeneous_solution</a> (uint8_t anchor_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> anchor_pos_matrix[anchor_num][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> Xh[])</td></tr>
+<tr class="memdesc:ab5f06e68df75b4708d722c268932578c"><td class="mdescLeft"> </td><td class="mdescRight">Compute the rank and the solution of the homogeneous system <img class="formulaInl" alt="$ A \vec{x_0} = 0 $" src="form_51.png"/>. <a href="trilateration_8c.html#ab5f06e68df75b4708d722c268932578c">More...</a><br /></td></tr>
+<tr class="separator:ab5f06e68df75b4708d722c268932578c"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a76695d4831cf7c08b468fe56f117b358"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="trilateration_8c.html#a76695d4831cf7c08b468fe56f117b358">trilateration_get_particular_solution</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> anchor_pos_mat[m][n], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> dist_arr[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> Xp[])</td></tr>
+<tr class="memdesc:a76695d4831cf7c08b468fe56f117b358"><td class="mdescLeft"> </td><td class="mdescRight">Compute the particular solution, which is the general solution of <img class="formulaInl" alt="$ A \vec{x_0} = \vec{b_0} $" src="form_50.png"/>. <a href="trilateration_8c.html#a76695d4831cf7c08b468fe56f117b358">More...</a><br /></td></tr>
+<tr class="separator:a76695d4831cf7c08b468fe56f117b358"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a45883b7c5af43c478bb488b536faa56e"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="trilateration_8c.html#a45883b7c5af43c478bb488b536faa56e">trilateration_get_quadratic_equation_solution</a> (<a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> Xp[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> Xh[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> solution_x1[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> solution_x2[])</td></tr>
+<tr class="memdesc:a45883b7c5af43c478bb488b536faa56e"><td class="mdescLeft"> </td><td class="mdescRight">Solve a quadratic equation. <a href="trilateration_8c.html#a45883b7c5af43c478bb488b536faa56e">More...</a><br /></td></tr>
+<tr class="separator:a45883b7c5af43c478bb488b536faa56e"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a3c9dfccb08c7e4cdb5533cd6bc8b5832"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="trilateration_8c.html#a3c9dfccb08c7e4cdb5533cd6bc8b5832">trilateration_get_A_matrix</a> (uint8_t m, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> anchor_pos_matrix[m][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A_matrix[m][4])</td></tr>
+<tr class="memdesc:a3c9dfccb08c7e4cdb5533cd6bc8b5832"><td class="mdescLeft"> </td><td class="mdescRight">Computes the matrix <img class="formulaInl" alt="$ A $" src="form_45.png"/> of the equation system: <img class="formulaInl" alt="$ A \vec{x} = \vec{b}$" src="form_46.png"/>. <a href="trilateration_8c.html#a3c9dfccb08c7e4cdb5533cd6bc8b5832">More...</a><br /></td></tr>
+<tr class="separator:a3c9dfccb08c7e4cdb5533cd6bc8b5832"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:abe0c5c3a77d41a6a94aceb8069ec2082"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="trilateration_8c.html#abe0c5c3a77d41a6a94aceb8069ec2082">trilateration_get_b_vector</a> (uint8_t anchor_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> dist_arr[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> anchor_pos_matrix[anchor_num][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> b_vec[])</td></tr>
+<tr class="memdesc:abe0c5c3a77d41a6a94aceb8069ec2082"><td class="mdescLeft"> </td><td class="mdescRight">Computes the vector <img class="formulaInl" alt="$ \vec{b} $" src="form_47.png"/> of the equation system: <img class="formulaInl" alt="$ A \vec{x} = \vec{b}$" src="form_46.png"/>. <a href="trilateration_8c.html#abe0c5c3a77d41a6a94aceb8069ec2082">More...</a><br /></td></tr>
+<tr class="separator:abe0c5c3a77d41a6a94aceb8069ec2082"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a4270371ead754327c478d19d57bfafba"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="trilateration_8c.html#a4270371ead754327c478d19d57bfafba">trilateration_solve_linear_equation</a> (uint8_t line_num, uint8_t col_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> pseudo_inv_matrix[line_num][col_num], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> b_vec[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> sol_vec[])</td></tr>
+<tr class="memdesc:a4270371ead754327c478d19d57bfafba"><td class="mdescLeft"> </td><td class="mdescRight">Solve a linear equation. <a href="trilateration_8c.html#a4270371ead754327c478d19d57bfafba">More...</a><br /></td></tr>
+<tr class="separator:a4270371ead754327c478d19d57bfafba"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Implement the trilateration algorithm. </p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd>
+<dd>
+Abdelmoumen Norrdine <a href="#" onclick="location.href='mai'+'lto:'+'a.n'+'or'+'rdi'+'ne'+'@go'+'og'+'lem'+'ai'+'l.c'+'om'; return false;">a.nor<span style="display: none;">.nosp@m.</span>rdin<span style="display: none;">.nosp@m.</span>e@goo<span style="display: none;">.nosp@m.</span>glem<span style="display: none;">.nosp@m.</span>ail.c<span style="display: none;">.nosp@m.</span>om</a> </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="trilateration_8c_source.html">trilateration.c</a>.</p>
+</div><h2 class="groupheader">Function Documentation</h2>
+<a id="a95fc45efcb10019be21704539eeedefb"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a95fc45efcb10019be21704539eeedefb">◆ </a></span>trilateration1()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void trilateration1 </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>anchor_num</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>anchor_pos_matrix</em>[anchor_num][3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>pseudo_inv_matrix</em>[4][anchor_num], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>homog_sol_arr</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>dist_arr</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>solution_x1</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>solution_x2</em>[] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Implement the trilateration algorithm using the pre-processed pseudo-inverse matrix. </p>
+<dl class="section note"><dt>Note</dt><dd>This function should be initialized with the pre-processed pseudo-inverse matrix of the equation system: <img class="formulaInl" alt="$ A \vec{x} = 0 $" src="form_42.png"/>. Caution!: The <code>solution_x1</code> and the <code>solution_x2</code> vectors have a length of 3 or 4 in the case of two-dimensional or three-dimensional space. The first element <img class="formulaInl" alt="$(x_0)$" src="form_43.png"/> of the <code>solution_x1</code>[] and the <code>solution_x2</code>[] vectors is a measure of the solvability of the multilateration problem. For example, in the three-dimensional space: <img class="formulaInl" alt="$ d = x_0 - \left( x_1^{2} + x_2^{2} + x_3^{2} \right)$" src="form_44.png"/>.</dd></dl>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">anchor_num</td><td>number of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">anchor_pos_matrix[][]</td><td>three-dimensional coordinates of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">pseudo_inv_matrix[][]</td><td>pointer to the pre-processed pseudo-inverse matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">homog_sol_arr[]</td><td>the homogeneous solution. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">dist_arr[]</td><td>distances to the reference stations. </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">solution_x1[]</td><td>includes the first solution. It has the length of 3 or 4 in the case of two-dimensional or three-dimensional space. </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">solution_x2[]</td><td>includes the second solution. It has length of 3 or 4 in the case of two-dimensional or three-dimensional space. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="trilateration_8c_source.html#l00032">32</a> of file <a class="el" href="trilateration_8c_source.html">trilateration.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>, <a class="el" href="trilateration_8c_source.html#l00275">trilateration_get_b_vector()</a>, <a class="el" href="trilateration_8c_source.html#l00193">trilateration_get_quadratic_equation_solution()</a>, <a class="el" href="trilateration_8c_source.html#l00121">trilateration_preprocessed_get_particular_solution()</a>, and <a class="el" href="trilateration_8c_source.html#l00291">trilateration_solve_linear_equation()</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="magnetic__based__position_8c_source.html#l00188">magnetic_based_preprocessing_get_position()</a>.</p>
+
+</div>
+</div>
+<a id="adf749802a4d86c2a97a6bac50d17bfea"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#adf749802a4d86c2a97a6bac50d17bfea">◆ </a></span>trilateration2()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void trilateration2 </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>anchor_num</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>anchor_pos_matrix</em>[anchor_num][3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>dist_arr</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>solution_x1</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>solution_x2</em>[] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Implement the trilateration algorithm. </p>
+<dl class="section note"><dt>Note</dt><dd>The pre-processed pseudo-inverse matrix of the equation system: <img class="formulaInl" alt="$ A \vec{x} = 0 $" src="form_42.png"/> is computed on the mobile station. Caution!: The <code>solution_x1</code> and the <code>solution_x2</code> vectors have a length of 3 or 4 in the case of two-dimensional or three-dimensional space. The first element <img class="formulaInl" alt="$(x_0)$" src="form_43.png"/> of the <code>solution_x1</code>[] and the <code>solution_x2</code>[] vectors is a measure of the solvability of the multilateration problem. For example, in the three-dimensional space: <img class="formulaInl" alt="$ d = x_0 - \left( x_1^{2} + x_2^{2} + x_3^{2} \right)$" src="form_44.png"/>.</dd></dl>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">anchor_num</td><td>number of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">anchor_pos_matrix[][]</td><td>three-dimensional coordinates of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">dist_arr[]</td><td>distances to the reference stations. </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">solution_x1[]</td><td>includes the first solution. It has the length of 3 or 4 in the case of two-dimensional or three-dimensional space. </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">solution_x2[]</td><td>includes the second solution. It has the length of 3 or 4 in the case of two-dimensional or three-dimensional space. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="trilateration_8c_source.html#l00069">69</a> of file <a class="el" href="trilateration_8c_source.html">trilateration.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>, <a class="el" href="moore__penrose__pseudo__inverse_8c_source.html#l00038">moore_penrose_get_pinv()</a>, <a class="el" href="trilateration_8c_source.html#l00256">trilateration_get_A_matrix()</a>, <a class="el" href="trilateration_8c_source.html#l00275">trilateration_get_b_vector()</a>, <a class="el" href="trilateration_8c_source.html#l00179">trilateration_get_particular_solution()</a>, <a class="el" href="trilateration_8c_source.html#l00193">trilateration_get_quadratic_equation_solution()</a>, <a class="el" href="trilateration_8c_source.html#l00149">trilateration_get_rank_and_homogeneous_solution()</a>, and <a class="el" href="trilateration_8c_source.html#l00291">trilateration_solve_linear_equation()</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="distance__based__test_8c_source.html#l00032">distance_based_test()</a>, <a class="el" href="magnetic__based__test_8c_source.html#l00034">magnetic_based_test()</a>, and <a class="el" href="multipath__dist__detection__mitigation_8c_source.html#l00133">recog_mitigate_multipath()</a>.</p>
+
+</div>
+</div>
+<a id="a3c9dfccb08c7e4cdb5533cd6bc8b5832"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a3c9dfccb08c7e4cdb5533cd6bc8b5832">◆ </a></span>trilateration_get_A_matrix()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void trilateration_get_A_matrix </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>anchor_pos_matrix</em>[m][3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>A_matrix</em>[m][4] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Computes the matrix <img class="formulaInl" alt="$ A $" src="form_45.png"/> of the equation system: <img class="formulaInl" alt="$ A \vec{x} = \vec{b}$" src="form_46.png"/>. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>number of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">anchor_pos_matrix[][]</td><td>three-dimensional coordinates of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">A_matrix[][]</td><td>pointer to the matrix <img class="formulaInl" alt="$ A $" src="form_45.png"/>. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="trilateration_8c_source.html#l00256">256</a> of file <a class="el" href="trilateration_8c_source.html">trilateration.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="pos__algos__common__test_8c_source.html#l00030">pos_algos_common_test()</a>, <a class="el" href="trilateration_8c_source.html#l00069">trilateration2()</a>, <a class="el" href="trilateration_8c_source.html#l00179">trilateration_get_particular_solution()</a>, and <a class="el" href="trilateration_8c_source.html#l00149">trilateration_get_rank_and_homogeneous_solution()</a>.</p>
+
+</div>
+</div>
+<a id="abe0c5c3a77d41a6a94aceb8069ec2082"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#abe0c5c3a77d41a6a94aceb8069ec2082">◆ </a></span>trilateration_get_b_vector()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void trilateration_get_b_vector </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>anchor_num</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>dist_arr</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>anchor_pos_matrix</em>[anchor_num][3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>b_vec</em>[] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Computes the vector <img class="formulaInl" alt="$ \vec{b} $" src="form_47.png"/> of the equation system: <img class="formulaInl" alt="$ A \vec{x} = \vec{b}$" src="form_46.png"/>. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">anchor_num</td><td>number of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">dist_arr[]</td><td>distances to the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">anchor_pos_matrix[][]</td><td>three-dimensional coordinates of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">b_vec[]</td><td>pointer to the vector <img class="formulaInl" alt="$ vec{b} $" src="form_48.png"/>. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="trilateration_8c_source.html#l00275">275</a> of file <a class="el" href="trilateration_8c_source.html">trilateration.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="trilateration_8c_source.html#l00032">trilateration1()</a>, <a class="el" href="trilateration_8c_source.html#l00069">trilateration2()</a>, and <a class="el" href="trilateration_8c_source.html#l00179">trilateration_get_particular_solution()</a>.</p>
+
+</div>
+</div>
+<a id="a76695d4831cf7c08b468fe56f117b358"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a76695d4831cf7c08b468fe56f117b358">◆ </a></span>trilateration_get_particular_solution()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void trilateration_get_particular_solution </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>anchor_pos_mat</em>[m][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>dist_arr</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>Xp</em>[] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute the particular solution, which is the general solution of <img class="formulaInl" alt="$ A \vec{x_0} = \vec{b_0} $" src="form_50.png"/>. </p>
+<dl class="section note"><dt>Note</dt><dd>The particular solution is calculated in the case of three reference stations. The particular solution is computed on the mobile station.</dd></dl>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>number of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the reference stations matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">anchor_pos_mat[][]</td><td>three-dimensional coordinates of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">dist_arr[]</td><td>distances to the reference stations. </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">Xp[]</td><td>includes the particular solution. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="trilateration_8c_source.html#l00179">179</a> of file <a class="el" href="trilateration_8c_source.html">trilateration.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8c_source.html#l00434">matrix_mul_vec()</a>, <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>, <a class="el" href="moore__penrose__pseudo__inverse_8c_source.html#l00038">moore_penrose_get_pinv()</a>, <a class="el" href="trilateration_8c_source.html#l00256">trilateration_get_A_matrix()</a>, and <a class="el" href="trilateration_8c_source.html#l00275">trilateration_get_b_vector()</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="trilateration_8c_source.html#l00069">trilateration2()</a>.</p>
+
+</div>
+</div>
+<a id="a45883b7c5af43c478bb488b536faa56e"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a45883b7c5af43c478bb488b536faa56e">◆ </a></span>trilateration_get_quadratic_equation_solution()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void trilateration_get_quadratic_equation_solution </td>
+ <td>(</td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>particular_solu_arr</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>homogeneous_solution_arr</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>solution_x1</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>solution_x2</em>[] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Solve a quadratic equation. </p>
+<p>The quotients of the quadratic equation are derived from the particular and homogeneous solution.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">particular_solu_arr[]</td><td>pointer to the particular solution. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">homogeneous_solution_arr[]</td><td>pointer to the homogeneous solution. </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">solution_x1[]</td><td>presents the first solution. </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">solution_x2[]</td><td>presents the second solution. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="trilateration_8c_source.html#l00193">193</a> of file <a class="el" href="trilateration_8c_source.html">trilateration.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="trilateration_8c_source.html#l00032">trilateration1()</a>, and <a class="el" href="trilateration_8c_source.html#l00069">trilateration2()</a>.</p>
+
+</div>
+</div>
+<a id="ab5f06e68df75b4708d722c268932578c"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#ab5f06e68df75b4708d722c268932578c">◆ </a></span>trilateration_get_rank_and_homogeneous_solution()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">uint8_t trilateration_get_rank_and_homogeneous_solution </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>anchor_num</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>anchor_pos_matrix</em>[anchor_num][3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>Xh</em>[] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute the rank and the solution of the homogeneous system <img class="formulaInl" alt="$ A \vec{x_0} = 0 $" src="form_51.png"/>. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">anchor_num</td><td>number of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">anchor_pos_matrix[][]</td><td>three-dimensional coordinates of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">Xh[]</td><td>includes the homogeneous solution.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the rank of the matrix <img class="formulaInl" alt="$ A $" src="form_45.png"/>. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="trilateration_8c_source.html#l00149">149</a> of file <a class="el" href="trilateration_8c_source.html">trilateration.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00062">matrix_dim_t::col_num</a>, <a class="el" href="matrix_8c_source.html#l00312">matrix_get_rank()</a>, <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>, <a class="el" href="matrix_8h_source.html#l00061">matrix_dim_t::row_num</a>, <a class="el" href="svd_8c_source.html#l00119">svd()</a>, <a class="el" href="svd_8c_source.html#l00114">svd_get_single_values_num()</a>, <a class="el" href="svd_8c_source.html#l00096">svd_get_U_dim()</a>, and <a class="el" href="trilateration_8c_source.html#l00256">trilateration_get_A_matrix()</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="trilateration_8c_source.html#l00069">trilateration2()</a>.</p>
+
+</div>
+</div>
+<a id="aadf622c7ec43dce57988a9aef1533758"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#aadf622c7ec43dce57988a9aef1533758">◆ </a></span>trilateration_preprocessed_get_particular_solution()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void trilateration_preprocessed_get_particular_solution </td>
+ <td>(</td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>pseudo_inv_matrix</em>[4][3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>b_arr</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>particular_solu_arr</em>[] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute the particular solution, which is the general solution of <img class="formulaInl" alt="$ A \vec{x_0} = \vec{b_0}$" src="form_49.png"/>. </p>
+<dl class="section note"><dt>Note</dt><dd>The particular solution is calculated in the case of three reference stations. The particular solution is computed using the pre-processed pseudo-inverse matrix.</dd></dl>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">pseudo_inv_matrix[][]</td><td>pointer to the pre-processed pseudo-inverse matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">b_arr[]</td><td>pointer the vector <img class="formulaInl" alt="$ vec{b} $" src="form_48.png"/>. </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">particular_solu_arr[]</td><td>includes the particular solution. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="trilateration_8c_source.html#l00121">121</a> of file <a class="el" href="trilateration_8c_source.html">trilateration.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="trilateration_8c_source.html#l00032">trilateration1()</a>.</p>
+
+</div>
+</div>
+<a id="a4270371ead754327c478d19d57bfafba"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a4270371ead754327c478d19d57bfafba">◆ </a></span>trilateration_solve_linear_equation()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void trilateration_solve_linear_equation </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>line_num</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>col_num</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>pseudo_inv_matrix</em>[line_num][col_num], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>b_vec</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>sol_vec</em>[] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Solve a linear equation. </p>
+<p>The linear equation is solved by using the pre-processed pseudo-inverse matrix and the vector <img class="formulaInl" alt="$ \vec{b} $" src="form_47.png"/></p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">line_num</td><td>row number of the pseudo-inverse matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">col_num</td><td>column number of the pseudo-inverse matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">pseudo_inv_matrix[][]</td><td>pointer to the pre-processed pseudo-inverse matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">b_vec[]</td><td>pointer to the vector <img class="formulaInl" alt="$ \vec{b} $" src="form_47.png"/>. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">sol_vec[]</td><td>solution vector. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="trilateration_8c_source.html#l00291">291</a> of file <a class="el" href="trilateration_8c_source.html">trilateration.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="trilateration_8c_source.html#l00032">trilateration1()</a>, and <a class="el" href="trilateration_8c_source.html#l00069">trilateration2()</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="navelem"><a class="el" href="dir_ca7b3fe3a5c68321cdadecc73cd5d1a0.html">localization</a></li><li class="navelem"><a class="el" href="dir_fdc176930829c278cabf5fddd85dbef8.html">position_algos</a></li><li class="navelem"><a class="el" href="dir_8b81d7492c96188faba0bade87ee2c10.html">pos_algos_common</a></li><li class="navelem"><a class="el" href="trilateration_8c.html">trilateration.c</a></li>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
+ </ul>
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+var trilateration_8c =
+[
+ [ "trilateration1", "trilateration_8c.html#a95fc45efcb10019be21704539eeedefb", null ],
+ [ "trilateration2", "trilateration_8c.html#adf749802a4d86c2a97a6bac50d17bfea", null ],
+ [ "trilateration_get_A_matrix", "trilateration_8c.html#a3c9dfccb08c7e4cdb5533cd6bc8b5832", null ],
+ [ "trilateration_get_b_vector", "trilateration_8c.html#abe0c5c3a77d41a6a94aceb8069ec2082", null ],
+ [ "trilateration_get_particular_solution", "trilateration_8c.html#a76695d4831cf7c08b468fe56f117b358", null ],
+ [ "trilateration_get_quadratic_equation_solution", "trilateration_8c.html#a45883b7c5af43c478bb488b536faa56e", null ],
+ [ "trilateration_get_rank_and_homogeneous_solution", "trilateration_8c.html#ab5f06e68df75b4708d722c268932578c", null ],
+ [ "trilateration_preprocessed_get_particular_solution", "trilateration_8c.html#aadf622c7ec43dce57988a9aef1533758", null ],
+ [ "trilateration_solve_linear_equation", "trilateration_8c.html#a4270371ead754327c478d19d57bfafba", null ]
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+ <div id="projectname">RcdMathLib_doc
+ </div>
+ <div id="projectbrief">Open Source Library for Linear and Non-linear Algebra</div>
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+ <div class="headertitle">
+<div class="title">trilateration.c</div> </div>
+</div><!--header-->
+<div class="contents">
+<a href="trilateration_8c.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="preprocessor">#include <math.h></span></div>
+<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="preprocessor">#include <stdio.h></span></div>
+<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#include <string.h></span></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="preprocessor">#include "<a class="code" href="moore__penrose__pseudo__inverse_8h.html">moore_penrose_pseudo_inverse.h</a>"</span></div>
+<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="preprocessor">#include "<a class="code" href="matrix_8h.html">matrix.h</a>"</span></div>
+<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="preprocessor">#include "<a class="code" href="svd_8h.html">svd.h</a>"</span></div>
+<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="preprocessor">#include "<a class="code" href="trilateration_8h.html">trilateration.h</a>"</span></div>
+<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  </div>
+<div class="line"><a name="l00032"></a><span class="lineno"><a class="line" href="trilateration_8c.html#a95fc45efcb10019be21704539eeedefb"> 32</a></span> <span class="keywordtype">void</span> <a class="code" href="trilateration_8c.html#a95fc45efcb10019be21704539eeedefb">trilateration1</a>(uint8_t anchor_num,</div>
+<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> anchor_pos_matrix[anchor_num][3],</div>
+<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> pseudo_inv_matrix[4][anchor_num],</div>
+<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> homog_sol_arr[],</div>
+<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> dist_arr[],</div>
+<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> solution_x1[],</div>
+<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> solution_x2[]</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>  </div>
+<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> b_arr[anchor_num];</div>
+<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> particular_solution_arr[4];</div>
+<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  </div>
+<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  <span class="keywordflow">if</span> (anchor_num == 3) {</div>
+<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  <a class="code" href="trilateration_8c.html#abe0c5c3a77d41a6a94aceb8069ec2082">trilateration_get_b_vector</a>(anchor_num, dist_arr,</div>
+<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  anchor_pos_matrix, b_arr);</div>
+<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  <a class="code" href="trilateration_8c.html#aadf622c7ec43dce57988a9aef1533758">trilateration_preprocessed_get_particular_solution</a>(</div>
+<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  pseudo_inv_matrix, b_arr,</div>
+<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  particular_solution_arr);</div>
+<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  <a class="code" href="trilateration_8c.html#a45883b7c5af43c478bb488b536faa56e">trilateration_get_quadratic_equation_solution</a>(</div>
+<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  particular_solution_arr,</div>
+<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  homog_sol_arr, solution_x1, solution_x2);</div>
+<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  </div>
+<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  }</div>
+<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  </div>
+<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  <span class="keywordflow">else</span> <span class="keywordflow">if</span> (anchor_num > 3) {</div>
+<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  <a class="code" href="trilateration_8c.html#abe0c5c3a77d41a6a94aceb8069ec2082">trilateration_get_b_vector</a>(anchor_num, dist_arr,</div>
+<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  anchor_pos_matrix, b_arr);</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>  <span class="comment">//compute the solution</span></div>
+<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  <a class="code" href="trilateration_8c.html#a4270371ead754327c478d19d57bfafba">trilateration_solve_linear_equation</a>(anchor_num, anchor_num,</div>
+<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  pseudo_inv_matrix, b_arr,</div>
+<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  solution_x1);</div>
+<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  }</div>
+<div class="line"><a name="l00066"></a><span class="lineno"> 66</span> }</div>
+<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  </div>
+<div class="line"><a name="l00068"></a><span class="lineno"> 68</span> <span class="comment">//On MCU Processing</span></div>
+<div class="line"><a name="l00069"></a><span class="lineno"><a class="line" href="trilateration_8c.html#adf749802a4d86c2a97a6bac50d17bfea"> 69</a></span> <span class="keywordtype">void</span> <a class="code" href="trilateration_8c.html#adf749802a4d86c2a97a6bac50d17bfea">trilateration2</a>(uint8_t anchor_num,</div>
+<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> anchor_pos_matrix[anchor_num][3],</div>
+<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> dist_arr[],</div>
+<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> solution_x1[],</div>
+<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> solution_x2[])</div>
+<div class="line"><a name="l00074"></a><span class="lineno"> 74</span> {</div>
+<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  </div>
+<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> b_arr[anchor_num];</div>
+<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A_matrix[anchor_num][4];</div>
+<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> pseudo_inv_matrix[4][anchor_num];</div>
+<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  uint8_t rank = 0;</div>
+<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  </div>
+<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  <span class="keywordflow">if</span> (anchor_num == 3) {</div>
+<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  <span class="comment">//2nd compute the particular solution</span></div>
+<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> Xp[4];</div>
+<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  <a class="code" href="trilateration_8c.html#a76695d4831cf7c08b468fe56f117b358">trilateration_get_particular_solution</a>(anchor_num, anchor_num,</div>
+<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  anchor_pos_matrix, dist_arr, Xp);</div>
+<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  </div>
+<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  <span class="comment">//3th compute the homogeneous solution</span></div>
+<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> Xh[4];</div>
+<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  rank = <a class="code" href="trilateration_8c.html#ab5f06e68df75b4708d722c268932578c">trilateration_get_rank_and_homogeneous_solution</a>(</div>
+<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  anchor_num, anchor_pos_matrix, Xh);</div>
+<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  </div>
+<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  <span class="comment">//solve the quadratic equation</span></div>
+<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  <span class="keywordflow">if</span> (rank == 3) {</div>
+<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  <a class="code" href="trilateration_8c.html#a45883b7c5af43c478bb488b536faa56e">trilateration_get_quadratic_equation_solution</a>(Xp, Xh,</div>
+<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  solution_x1,</div>
+<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  solution_x2);</div>
+<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  }</div>
+<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  <span class="keywordflow">else</span> {</div>
+<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  puts(<span class="stringliteral">"rank!=3, the equation system is not solvable."</span>);</div>
+<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  }</div>
+<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  </div>
+<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  }</div>
+<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  </div>
+<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  <span class="keywordflow">else</span> <span class="keywordflow">if</span> (anchor_num > 3) {</div>
+<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  <span class="comment">//compute A-matrix and b_vector</span></div>
+<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  <a class="code" href="trilateration_8c.html#a3c9dfccb08c7e4cdb5533cd6bc8b5832">trilateration_get_A_matrix</a>(anchor_num, anchor_pos_matrix,</div>
+<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  A_matrix);</div>
+<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  <a class="code" href="trilateration_8c.html#abe0c5c3a77d41a6a94aceb8069ec2082">trilateration_get_b_vector</a>(anchor_num, dist_arr,</div>
+<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  anchor_pos_matrix, b_arr);</div>
+<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  </div>
+<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  <span class="comment">//compute the pseudo inverse</span></div>
+<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  <a class="code" href="moore__penrose__pseudo__inverse_8h.html#a0ddd46446f074a0d38c04157686f5fce">moore_penrose_get_pinv</a>(anchor_num, 4, A_matrix,</div>
+<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  pseudo_inv_matrix);</div>
+<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  <span class="comment">//compute the solution</span></div>
+<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  <a class="code" href="trilateration_8c.html#a4270371ead754327c478d19d57bfafba">trilateration_solve_linear_equation</a>(4, anchor_num,</div>
+<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  pseudo_inv_matrix, b_arr,</div>
+<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  solution_x1);</div>
+<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  }</div>
+<div class="line"><a name="l00119"></a><span class="lineno"> 119</span> }</div>
+<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  </div>
+<div class="line"><a name="l00121"></a><span class="lineno"><a class="line" href="trilateration_8c.html#aadf622c7ec43dce57988a9aef1533758"> 121</a></span> <span class="keywordtype">void</span> <a class="code" href="trilateration_8c.html#aadf622c7ec43dce57988a9aef1533758">trilateration_preprocessed_get_particular_solution</a>(</div>
+<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> pseudo_inv_matrix[4][3],</div>
+<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> b_arr[],</div>
+<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> particular_solu_arr[])</div>
+<div class="line"><a name="l00125"></a><span class="lineno"> 125</span> {</div>
+<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  <span class="keywordtype">int</span> i = 0;</div>
+<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  <span class="keywordtype">int</span> j = 0;</div>
+<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  </div>
+<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  memset(particular_solu_arr, 0.0, 4 * <span class="keyword">sizeof</span>(<a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a>));</div>
+<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  </div>
+<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  <span class="keywordflow">for</span> (; i < 4; i++) {</div>
+<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  <span class="keywordflow">for</span> (; j < 3; j++) {</div>
+<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  particular_solu_arr[i] += pseudo_inv_matrix[i][j]</div>
+<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  * b_arr[j];</div>
+<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  <span class="comment">//DEBUGF("pseudo_inv_matrix[%d][%d] = %f\n b_arr[%d] = %f\n", i, j, (double) pseudo_inv_matrix[i][j], j, (double) b_arr[j]);</span></div>
+<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  <span class="comment">//printf("pseudo_inv_matrix[%d][%d] = %f\n b_arr[%d] = %f\n", i, j, (double) pseudo_inv_matrix[i][j], j, (double) b_arr[j]);</span></div>
+<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  }</div>
+<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  j = 0;</div>
+<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  }</div>
+<div class="line"><a name="l00140"></a><span class="lineno"> 140</span> <span class="preprocessor">#ifdef DEBUG_ENABLED</span></div>
+<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  i = 0;</div>
+<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  <span class="keywordflow">for</span> (; i < 4; i++) {</div>
+<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  DEBUGF(<span class="stringliteral">"particular_solution_arr[%d] = %f\n"</span>, i,</div>
+<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  (<span class="keywordtype">double</span>)particular_solu_arr[i]);</div>
+<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  }</div>
+<div class="line"><a name="l00146"></a><span class="lineno"> 146</span> <span class="preprocessor">#endif</span></div>
+<div class="line"><a name="l00147"></a><span class="lineno"> 147</span> }</div>
+<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>  </div>
+<div class="line"><a name="l00149"></a><span class="lineno"><a class="line" href="trilateration_8c.html#ab5f06e68df75b4708d722c268932578c"> 149</a></span> uint8_t <a class="code" href="trilateration_8c.html#ab5f06e68df75b4708d722c268932578c">trilateration_get_rank_and_homogeneous_solution</a>(uint8_t anchor_num,</div>
+<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> anchor_pos_matrix[anchor_num][3],</div>
+<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> Xh[])</div>
+<div class="line"><a name="l00152"></a><span class="lineno"> 152</span> {</div>
+<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>  uint8_t rank = 0;</div>
+<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[anchor_num][4];</div>
+<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  uint8_t m = anchor_num;</div>
+<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>  uint8_t n = 4;</div>
+<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  uint8_t s_length = <a class="code" href="svd_8h.html#a91b85e542b1fc44d3500ba52aecb8e0e">svd_get_single_values_num</a>(m, n);</div>
+<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> s[s_length];</div>
+<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  <a class="code" href="structmatrix__dim__t.html">matrix_dim_t</a> u_dim;</div>
+<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  </div>
+<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>  <a class="code" href="svd_8h.html#a8194826f85cc3105c4d8d4f342ca8df8">svd_get_U_dim</a>(m, n, &u_dim);</div>
+<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> U[u_dim.<a class="code" href="structmatrix__dim__t.html#a853244a0562d43bfdcdcb704ed707721">row_num</a>][u_dim.<a class="code" href="structmatrix__dim__t.html#aac6b6ff205184047714d5c22019bdbab">col_num</a>];</div>
+<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> S[u_dim.<a class="code" href="structmatrix__dim__t.html#aac6b6ff205184047714d5c22019bdbab">col_num</a>][n];</div>
+<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> V[n][n];</div>
+<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>  </div>
+<div class="line"><a name="l00166"></a><span class="lineno"> 166</span>  <a class="code" href="trilateration_8c.html#a3c9dfccb08c7e4cdb5533cd6bc8b5832">trilateration_get_A_matrix</a>(anchor_num, anchor_pos_matrix, A);</div>
+<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>  <a class="code" href="svd_8h.html#acdccfce5b7732e6334ca5a521c57e63e">svd</a>(m, n, A, u_dim.<a class="code" href="structmatrix__dim__t.html#a853244a0562d43bfdcdcb704ed707721">row_num</a>, u_dim.<a class="code" href="structmatrix__dim__t.html#aac6b6ff205184047714d5c22019bdbab">col_num</a>, U, S, V, s_length, s);</div>
+<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>  </div>
+<div class="line"><a name="l00169"></a><span class="lineno"> 169</span>  <span class="comment">//the forth column of the V matix</span></div>
+<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < n; i++) {</div>
+<div class="line"><a name="l00171"></a><span class="lineno"> 171</span>  Xh[i] = V[i][3];</div>
+<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>  }</div>
+<div class="line"><a name="l00173"></a><span class="lineno"> 173</span>  </div>
+<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>  rank = <a class="code" href="matrix_8h.html#a53879e7c4cfbc96725aef9f8234be7dd">matrix_get_rank</a>(m, n, s, s_length);</div>
+<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>  </div>
+<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>  <span class="keywordflow">return</span> rank;</div>
+<div class="line"><a name="l00177"></a><span class="lineno"> 177</span> }</div>
+<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>  </div>
+<div class="line"><a name="l00179"></a><span class="lineno"><a class="line" href="trilateration_8c.html#a76695d4831cf7c08b468fe56f117b358"> 179</a></span> <span class="keywordtype">void</span> <a class="code" href="trilateration_8c.html#a76695d4831cf7c08b468fe56f117b358">trilateration_get_particular_solution</a>(uint8_t m, uint8_t n,</div>
+<div class="line"><a name="l00180"></a><span class="lineno"> 180</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> anchor_pos_mat[m][n],</div>
+<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> dist_arr[], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> Xp[])</div>
+<div class="line"><a name="l00182"></a><span class="lineno"> 182</span> {</div>
+<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A[m][4];</div>
+<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> pinvA[4][m];</div>
+<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> b[m];</div>
+<div class="line"><a name="l00186"></a><span class="lineno"> 186</span>  </div>
+<div class="line"><a name="l00187"></a><span class="lineno"> 187</span>  <a class="code" href="trilateration_8c.html#abe0c5c3a77d41a6a94aceb8069ec2082">trilateration_get_b_vector</a>(m, dist_arr, anchor_pos_mat, b);</div>
+<div class="line"><a name="l00188"></a><span class="lineno"> 188</span>  <a class="code" href="trilateration_8c.html#a3c9dfccb08c7e4cdb5533cd6bc8b5832">trilateration_get_A_matrix</a>(m, anchor_pos_mat, A);</div>
+<div class="line"><a name="l00189"></a><span class="lineno"> 189</span>  <a class="code" href="moore__penrose__pseudo__inverse_8h.html#a0ddd46446f074a0d38c04157686f5fce">moore_penrose_get_pinv</a>(m, 4, A, pinvA);</div>
+<div class="line"><a name="l00190"></a><span class="lineno"> 190</span>  <a class="code" href="matrix_8h.html#ad610bcce232c69ca302550f57b1ad9fb">matrix_mul_vec</a>(4, m, pinvA, b, Xp);</div>
+<div class="line"><a name="l00191"></a><span class="lineno"> 191</span> }</div>
+<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>  </div>
+<div class="line"><a name="l00193"></a><span class="lineno"><a class="line" href="trilateration_8c.html#a45883b7c5af43c478bb488b536faa56e"> 193</a></span> <span class="keywordtype">void</span> <a class="code" href="trilateration_8c.html#a45883b7c5af43c478bb488b536faa56e">trilateration_get_quadratic_equation_solution</a>(<a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> Xp[],</div>
+<div class="line"><a name="l00194"></a><span class="lineno"> 194</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> Xh[],</div>
+<div class="line"><a name="l00195"></a><span class="lineno"> 195</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> solution_x1[],</div>
+<div class="line"><a name="l00196"></a><span class="lineno"> 196</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> solution_x2[])</div>
+<div class="line"><a name="l00197"></a><span class="lineno"> 197</span> {</div>
+<div class="line"><a name="l00198"></a><span class="lineno"> 198</span>  </div>
+<div class="line"><a name="l00199"></a><span class="lineno"> 199</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> a = 0, b = 0, c = 0, t1 = 0, t2 = 0, delta = 0;</div>
+<div class="line"><a name="l00200"></a><span class="lineno"> 200</span>  <span class="keywordtype">int</span> i = 0;</div>
+<div class="line"><a name="l00201"></a><span class="lineno"> 201</span>  </div>
+<div class="line"><a name="l00202"></a><span class="lineno"> 202</span>  <span class="comment">//compute polynomial coefficients: a*t^2 + b*t^+ c</span></div>
+<div class="line"><a name="l00203"></a><span class="lineno"> 203</span>  a = pow(Xh[1], 2)</div>
+<div class="line"><a name="l00204"></a><span class="lineno"> 204</span>  + pow(Xh[2], 2)</div>
+<div class="line"><a name="l00205"></a><span class="lineno"> 205</span>  + pow(Xh[3], 2);</div>
+<div class="line"><a name="l00206"></a><span class="lineno"> 206</span>  b = 2</div>
+<div class="line"><a name="l00207"></a><span class="lineno"> 207</span>  * (Xh[1] * Xp[1]</div>
+<div class="line"><a name="l00208"></a><span class="lineno"> 208</span>  + Xh[2] * Xp[2]</div>
+<div class="line"><a name="l00209"></a><span class="lineno"> 209</span>  + Xh[3] * Xp[3])</div>
+<div class="line"><a name="l00210"></a><span class="lineno"> 210</span>  - Xh[0];</div>
+<div class="line"><a name="l00211"></a><span class="lineno"> 211</span>  c = pow(Xp[1], 2) + pow(Xp[2], 2)</div>
+<div class="line"><a name="l00212"></a><span class="lineno"> 212</span>  + pow(Xp[3], 2) - Xp[0];</div>
+<div class="line"><a name="l00213"></a><span class="lineno"> 213</span>  </div>
+<div class="line"><a name="l00214"></a><span class="lineno"> 214</span>  <span class="comment">//compute the quadratic equation a*t^2 + b*t+ c</span></div>
+<div class="line"><a name="l00215"></a><span class="lineno"> 215</span>  delta = b * b - 4 * a * c;</div>
+<div class="line"><a name="l00216"></a><span class="lineno"> 216</span>  <span class="keywordflow">if</span> ((delta > 0) && (a != 0)) {</div>
+<div class="line"><a name="l00217"></a><span class="lineno"> 217</span>  <span class="keywordflow">if</span> (solution_x1 != NULL) {</div>
+<div class="line"><a name="l00218"></a><span class="lineno"> 218</span>  t1 = (-b + sqrt(delta)) / (2 * a);</div>
+<div class="line"><a name="l00219"></a><span class="lineno"> 219</span>  }</div>
+<div class="line"><a name="l00220"></a><span class="lineno"> 220</span>  <span class="keywordflow">if</span> (solution_x2 != NULL) {</div>
+<div class="line"><a name="l00221"></a><span class="lineno"> 221</span>  t2 = (-b - sqrt(delta)) / (2 * a);</div>
+<div class="line"><a name="l00222"></a><span class="lineno"> 222</span>  }</div>
+<div class="line"><a name="l00223"></a><span class="lineno"> 223</span>  }</div>
+<div class="line"><a name="l00224"></a><span class="lineno"> 224</span>  <span class="keywordflow">else</span> <span class="keywordflow">if</span> ((delta == 0) && (a != 0)) {</div>
+<div class="line"><a name="l00225"></a><span class="lineno"> 225</span>  <span class="keywordflow">if</span> (solution_x1 != NULL) {</div>
+<div class="line"><a name="l00226"></a><span class="lineno"> 226</span>  t1 = -b / (2 * a);</div>
+<div class="line"><a name="l00227"></a><span class="lineno"> 227</span>  }</div>
+<div class="line"><a name="l00228"></a><span class="lineno"> 228</span>  <span class="keywordflow">if</span> (solution_x2 != NULL) {</div>
+<div class="line"><a name="l00229"></a><span class="lineno"> 229</span>  t2 = t1;</div>
+<div class="line"><a name="l00230"></a><span class="lineno"> 230</span>  }</div>
+<div class="line"><a name="l00231"></a><span class="lineno"> 231</span>  </div>
+<div class="line"><a name="l00232"></a><span class="lineno"> 232</span>  }</div>
+<div class="line"><a name="l00233"></a><span class="lineno"> 233</span>  <span class="keywordflow">else</span> <span class="keywordflow">if</span> (delta < 0) { <span class="comment">// take only a real part</span></div>
+<div class="line"><a name="l00234"></a><span class="lineno"> 234</span>  <span class="keywordflow">if</span> (solution_x1 != NULL) {</div>
+<div class="line"><a name="l00235"></a><span class="lineno"> 235</span>  t1 = -b / (2 * a);</div>
+<div class="line"><a name="l00236"></a><span class="lineno"> 236</span>  }</div>
+<div class="line"><a name="l00237"></a><span class="lineno"> 237</span>  <span class="keywordflow">if</span> (solution_x2 != NULL) {</div>
+<div class="line"><a name="l00238"></a><span class="lineno"> 238</span>  t2 = -b / (2 * a);</div>
+<div class="line"><a name="l00239"></a><span class="lineno"> 239</span>  }</div>
+<div class="line"><a name="l00240"></a><span class="lineno"> 240</span>  }</div>
+<div class="line"><a name="l00241"></a><span class="lineno"> 241</span>  </div>
+<div class="line"><a name="l00242"></a><span class="lineno"> 242</span>  <span class="keywordflow">for</span> (; i < 4; i++) {</div>
+<div class="line"><a name="l00243"></a><span class="lineno"> 243</span>  <span class="keywordflow">if</span> (solution_x1 != NULL) {</div>
+<div class="line"><a name="l00244"></a><span class="lineno"> 244</span>  solution_x1[i] = Xp[i]</div>
+<div class="line"><a name="l00245"></a><span class="lineno"> 245</span>  + t1 * Xh[i];</div>
+<div class="line"><a name="l00246"></a><span class="lineno"> 246</span>  }</div>
+<div class="line"><a name="l00247"></a><span class="lineno"> 247</span>  <span class="keywordflow">if</span> (solution_x2 != NULL) {</div>
+<div class="line"><a name="l00248"></a><span class="lineno"> 248</span>  solution_x2[i] = Xp[i]</div>
+<div class="line"><a name="l00249"></a><span class="lineno"> 249</span>  + t2 * Xh[i];</div>
+<div class="line"><a name="l00250"></a><span class="lineno"> 250</span>  }</div>
+<div class="line"><a name="l00251"></a><span class="lineno"> 251</span>  }</div>
+<div class="line"><a name="l00252"></a><span class="lineno"> 252</span>  </div>
+<div class="line"><a name="l00253"></a><span class="lineno"> 253</span>  <span class="comment">//DEBUGF("a=%f, b=%f, c=%f, t1=%f, t2=%f\n", (double)a, (double)b, (double)c, (double)t1, (double)t2);</span></div>
+<div class="line"><a name="l00254"></a><span class="lineno"> 254</span> }</div>
+<div class="line"><a name="l00255"></a><span class="lineno"> 255</span>  </div>
+<div class="line"><a name="l00256"></a><span class="lineno"><a class="line" href="trilateration_8c.html#a3c9dfccb08c7e4cdb5533cd6bc8b5832"> 256</a></span> <span class="keywordtype">void</span> <a class="code" href="trilateration_8c.html#a3c9dfccb08c7e4cdb5533cd6bc8b5832">trilateration_get_A_matrix</a>(uint8_t m, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> anchor_pos_matrix[m][3],</div>
+<div class="line"><a name="l00257"></a><span class="lineno"> 257</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A_matrix[m][4])</div>
+<div class="line"><a name="l00258"></a><span class="lineno"> 258</span> {</div>
+<div class="line"><a name="l00259"></a><span class="lineno"> 259</span>  <span class="keywordtype">int</span> i, j;</div>
+<div class="line"><a name="l00260"></a><span class="lineno"> 260</span>  </div>
+<div class="line"><a name="l00261"></a><span class="lineno"> 261</span>  <span class="comment">//the first column is equal 1</span></div>
+<div class="line"><a name="l00262"></a><span class="lineno"> 262</span>  <span class="keywordflow">for</span> (i = 0; i < m; i++) {</div>
+<div class="line"><a name="l00263"></a><span class="lineno"> 263</span>  A_matrix[i][0] = 1;</div>
+<div class="line"><a name="l00264"></a><span class="lineno"> 264</span>  }</div>
+<div class="line"><a name="l00265"></a><span class="lineno"> 265</span>  </div>
+<div class="line"><a name="l00266"></a><span class="lineno"> 266</span>  <span class="comment">//the second, third and firth columns are equal: -2x, -2y, -2z respectively</span></div>
+<div class="line"><a name="l00267"></a><span class="lineno"> 267</span>  <span class="keywordflow">for</span> (i = 0; i < m; i++) {</div>
+<div class="line"><a name="l00268"></a><span class="lineno"> 268</span>  <span class="keywordflow">for</span> (j = 1; j < 4; j++) {</div>
+<div class="line"><a name="l00269"></a><span class="lineno"> 269</span>  A_matrix[i][j] = -2 * anchor_pos_matrix[i][j - 1];</div>
+<div class="line"><a name="l00270"></a><span class="lineno"> 270</span>  </div>
+<div class="line"><a name="l00271"></a><span class="lineno"> 271</span>  }</div>
+<div class="line"><a name="l00272"></a><span class="lineno"> 272</span>  }</div>
+<div class="line"><a name="l00273"></a><span class="lineno"> 273</span> }</div>
+<div class="line"><a name="l00274"></a><span class="lineno"> 274</span>  </div>
+<div class="line"><a name="l00275"></a><span class="lineno"><a class="line" href="trilateration_8c.html#abe0c5c3a77d41a6a94aceb8069ec2082"> 275</a></span> <span class="keywordtype">void</span> <a class="code" href="trilateration_8c.html#abe0c5c3a77d41a6a94aceb8069ec2082">trilateration_get_b_vector</a>(uint8_t anchor_num, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> dist_arr[],</div>
+<div class="line"><a name="l00276"></a><span class="lineno"> 276</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> anchor_pos_matrix[anchor_num][3],</div>
+<div class="line"><a name="l00277"></a><span class="lineno"> 277</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> b_vec[])</div>
+<div class="line"><a name="l00278"></a><span class="lineno"> 278</span> {</div>
+<div class="line"><a name="l00279"></a><span class="lineno"> 279</span>  </div>
+<div class="line"><a name="l00280"></a><span class="lineno"> 280</span>  uint8_t i, j;</div>
+<div class="line"><a name="l00281"></a><span class="lineno"> 281</span>  </div>
+<div class="line"><a name="l00282"></a><span class="lineno"> 282</span>  <span class="keywordflow">for</span> (i = 0; i < anchor_num; i++) {</div>
+<div class="line"><a name="l00283"></a><span class="lineno"> 283</span>  b_vec[i] = dist_arr[i] * dist_arr[i];</div>
+<div class="line"><a name="l00284"></a><span class="lineno"> 284</span>  <span class="keywordflow">for</span> (j = 0; j < 3; j++) {</div>
+<div class="line"><a name="l00285"></a><span class="lineno"> 285</span>  b_vec[i] -= anchor_pos_matrix[i][j]</div>
+<div class="line"><a name="l00286"></a><span class="lineno"> 286</span>  * anchor_pos_matrix[i][j];</div>
+<div class="line"><a name="l00287"></a><span class="lineno"> 287</span>  }</div>
+<div class="line"><a name="l00288"></a><span class="lineno"> 288</span>  }</div>
+<div class="line"><a name="l00289"></a><span class="lineno"> 289</span> }</div>
+<div class="line"><a name="l00290"></a><span class="lineno"> 290</span>  </div>
+<div class="line"><a name="l00291"></a><span class="lineno"><a class="line" href="trilateration_8c.html#a4270371ead754327c478d19d57bfafba"> 291</a></span> <span class="keywordtype">void</span> <a class="code" href="trilateration_8c.html#a4270371ead754327c478d19d57bfafba">trilateration_solve_linear_equation</a>(uint8_t line_num, uint8_t col_num,</div>
+<div class="line"><a name="l00292"></a><span class="lineno"> 292</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> pseudo_inv_matrix[line_num][col_num],</div>
+<div class="line"><a name="l00293"></a><span class="lineno"> 293</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> b_vec[], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> sol_vec[])</div>
+<div class="line"><a name="l00294"></a><span class="lineno"> 294</span> {</div>
+<div class="line"><a name="l00295"></a><span class="lineno"> 295</span>  <span class="keywordtype">int</span> i, j;</div>
+<div class="line"><a name="l00296"></a><span class="lineno"> 296</span>  </div>
+<div class="line"><a name="l00297"></a><span class="lineno"> 297</span>  memset(sol_vec, 0, col_num * <span class="keyword">sizeof</span>(<a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a>));</div>
+<div class="line"><a name="l00298"></a><span class="lineno"> 298</span>  </div>
+<div class="line"><a name="l00299"></a><span class="lineno"> 299</span>  <span class="keywordflow">for</span> (i = 0; i < line_num; i++) {</div>
+<div class="line"><a name="l00300"></a><span class="lineno"> 300</span>  <span class="keywordflow">for</span> (j = 0; j < col_num; j++) {</div>
+<div class="line"><a name="l00301"></a><span class="lineno"> 301</span>  sol_vec[i] += pseudo_inv_matrix[i][j] * b_vec[j];</div>
+<div class="line"><a name="l00302"></a><span class="lineno"> 302</span>  }</div>
+<div class="line"><a name="l00303"></a><span class="lineno"> 303</span>  }</div>
+<div class="line"><a name="l00304"></a><span class="lineno"> 304</span> }</div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="amoore__penrose__pseudo__inverse_8h_html_a0ddd46446f074a0d38c04157686f5fce"><div class="ttname"><a href="moore__penrose__pseudo__inverse_8h.html#a0ddd46446f074a0d38c04157686f5fce">moore_penrose_get_pinv</a></div><div class="ttdeci">int8_t moore_penrose_get_pinv(uint8_t m, uint8_t n, matrix_t A[m][n], matrix_t pinv_A[n][m])</div><div class="ttdoc">Calculate the Moore–Penrose inverse of a rectangular matrix.</div><div class="ttdef"><b>Definition:</b> <a href="moore__penrose__pseudo__inverse_8c_source.html#l00038">moore_penrose_pseudo_inverse.c:38</a></div></div>
+<div class="ttc" id="atrilateration_8c_html_a45883b7c5af43c478bb488b536faa56e"><div class="ttname"><a href="trilateration_8c.html#a45883b7c5af43c478bb488b536faa56e">trilateration_get_quadratic_equation_solution</a></div><div class="ttdeci">void trilateration_get_quadratic_equation_solution(matrix_t Xp[], matrix_t Xh[], matrix_t solution_x1[], matrix_t solution_x2[])</div><div class="ttdoc">Solve a quadratic equation.</div><div class="ttdef"><b>Definition:</b> <a href="trilateration_8c_source.html#l00193">trilateration.c:193</a></div></div>
+<div class="ttc" id="atrilateration_8c_html_abe0c5c3a77d41a6a94aceb8069ec2082"><div class="ttname"><a href="trilateration_8c.html#abe0c5c3a77d41a6a94aceb8069ec2082">trilateration_get_b_vector</a></div><div class="ttdeci">void trilateration_get_b_vector(uint8_t anchor_num, matrix_t dist_arr[], matrix_t anchor_pos_matrix[anchor_num][3], matrix_t b_vec[])</div><div class="ttdoc">Computes the vector of the equation system: .</div><div class="ttdef"><b>Definition:</b> <a href="trilateration_8c_source.html#l00275">trilateration.c:275</a></div></div>
+<div class="ttc" id="amatrix_8h_html_ad610bcce232c69ca302550f57b1ad9fb"><div class="ttname"><a href="matrix_8h.html#ad610bcce232c69ca302550f57b1ad9fb">matrix_mul_vec</a></div><div class="ttdeci">void matrix_mul_vec(uint8_t m, uint8_t n, matrix_t matrix[m][n], matrix_t vec[n], matrix_t dst_arr[m])</div><div class="ttdoc">Compute the multiplication of a matrix with a column vector.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00434">matrix.c:434</a></div></div>
+<div class="ttc" id="atrilateration_8c_html_a95fc45efcb10019be21704539eeedefb"><div class="ttname"><a href="trilateration_8c.html#a95fc45efcb10019be21704539eeedefb">trilateration1</a></div><div class="ttdeci">void trilateration1(uint8_t anchor_num, matrix_t anchor_pos_matrix[anchor_num][3], matrix_t pseudo_inv_matrix[4][anchor_num], matrix_t homog_sol_arr[], matrix_t dist_arr[], matrix_t solution_x1[], matrix_t solution_x2[])</div><div class="ttdoc">Implement the trilateration algorithm using the pre-processed pseudo-inverse matrix.</div><div class="ttdef"><b>Definition:</b> <a href="trilateration_8c_source.html#l00032">trilateration.c:32</a></div></div>
+<div class="ttc" id="atrilateration_8h_html"><div class="ttname"><a href="trilateration_8h.html">trilateration.h</a></div><div class="ttdoc">Implement the trilateration algorithm.</div></div>
+<div class="ttc" id="astructmatrix__dim__t_html_a853244a0562d43bfdcdcb704ed707721"><div class="ttname"><a href="structmatrix__dim__t.html#a853244a0562d43bfdcdcb704ed707721">matrix_dim_t::row_num</a></div><div class="ttdeci">uint8_t row_num</div><div class="ttdoc">the row number</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8h_source.html#l00061">matrix.h:61</a></div></div>
+<div class="ttc" id="asvd_8h_html_acdccfce5b7732e6334ca5a521c57e63e"><div class="ttname"><a href="svd_8h.html#acdccfce5b7732e6334ca5a521c57e63e">svd</a></div><div class="ttdeci">void svd(uint8_t m, uint8_t n, matrix_t A[m][n], uint8_t u_m, uint8_t u_n, matrix_t U[u_m][u_n], matrix_t S[u_n][n], matrix_t V[n][n], uint8_t sing_vec_length, matrix_t singl_values_vec[])</div><div class="ttdoc">Compute the Singular-Value Decomposition (SVD) of a matrix.</div><div class="ttdef"><b>Definition:</b> <a href="svd_8c_source.html#l00119">svd.c:119</a></div></div>
+<div class="ttc" id="amatrix_8h_html_a53879e7c4cfbc96725aef9f8234be7dd"><div class="ttname"><a href="matrix_8h.html#a53879e7c4cfbc96725aef9f8234be7dd">matrix_get_rank</a></div><div class="ttdeci">uint8_t matrix_get_rank(uint8_t m, uint8_t n, matrix_t singl_values_arr[], uint8_t length)</div><div class="ttdoc">Compute the rank of a matrix.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8c_source.html#l00312">matrix.c:312</a></div></div>
+<div class="ttc" id="amatrix_8h_html"><div class="ttname"><a href="matrix_8h.html">matrix.h</a></div><div class="ttdoc">Matrix computations.</div></div>
+<div class="ttc" id="amoore__penrose__pseudo__inverse_8h_html"><div class="ttname"><a href="moore__penrose__pseudo__inverse_8h.html">moore_penrose_pseudo_inverse.h</a></div><div class="ttdoc">Moore–Penrose algorithm to compute the pseudo-inverse of a matrix.</div></div>
+<div class="ttc" id="atrilateration_8c_html_ab5f06e68df75b4708d722c268932578c"><div class="ttname"><a href="trilateration_8c.html#ab5f06e68df75b4708d722c268932578c">trilateration_get_rank_and_homogeneous_solution</a></div><div class="ttdeci">uint8_t trilateration_get_rank_and_homogeneous_solution(uint8_t anchor_num, matrix_t anchor_pos_matrix[anchor_num][3], matrix_t Xh[])</div><div class="ttdoc">Compute the rank and the solution of the homogeneous system .</div><div class="ttdef"><b>Definition:</b> <a href="trilateration_8c_source.html#l00149">trilateration.c:149</a></div></div>
+<div class="ttc" id="atrilateration_8c_html_a4270371ead754327c478d19d57bfafba"><div class="ttname"><a href="trilateration_8c.html#a4270371ead754327c478d19d57bfafba">trilateration_solve_linear_equation</a></div><div class="ttdeci">void trilateration_solve_linear_equation(uint8_t line_num, uint8_t col_num, matrix_t pseudo_inv_matrix[line_num][col_num], matrix_t b_vec[], matrix_t sol_vec[])</div><div class="ttdoc">Solve a linear equation.</div><div class="ttdef"><b>Definition:</b> <a href="trilateration_8c_source.html#l00291">trilateration.c:291</a></div></div>
+<div class="ttc" id="astructmatrix__dim__t_html"><div class="ttname"><a href="structmatrix__dim__t.html">matrix_dim_t</a></div><div class="ttdoc">A structure to define the row and column number of a matrix.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8h_source.html#l00060">matrix.h:60</a></div></div>
+<div class="ttc" id="asvd_8h_html"><div class="ttname"><a href="svd_8h.html">svd.h</a></div><div class="ttdoc">Algorithm for the Singular Value Decomposition (SVD).</div></div>
+<div class="ttc" id="asvd_8h_html_a91b85e542b1fc44d3500ba52aecb8e0e"><div class="ttname"><a href="svd_8h.html#a91b85e542b1fc44d3500ba52aecb8e0e">svd_get_single_values_num</a></div><div class="ttdeci">uint8_t svd_get_single_values_num(uint8_t m, uint8_t n)</div><div class="ttdoc">Calculate the number of the singular values.</div><div class="ttdef"><b>Definition:</b> <a href="svd_8c_source.html#l00114">svd.c:114</a></div></div>
+<div class="ttc" id="atrilateration_8c_html_aadf622c7ec43dce57988a9aef1533758"><div class="ttname"><a href="trilateration_8c.html#aadf622c7ec43dce57988a9aef1533758">trilateration_preprocessed_get_particular_solution</a></div><div class="ttdeci">void trilateration_preprocessed_get_particular_solution(matrix_t pseudo_inv_matrix[4][3], matrix_t b_arr[], matrix_t particular_solu_arr[])</div><div class="ttdoc">Compute the particular solution, which is the general solution of .</div><div class="ttdef"><b>Definition:</b> <a href="trilateration_8c_source.html#l00121">trilateration.c:121</a></div></div>
+<div class="ttc" id="atrilateration_8c_html_a3c9dfccb08c7e4cdb5533cd6bc8b5832"><div class="ttname"><a href="trilateration_8c.html#a3c9dfccb08c7e4cdb5533cd6bc8b5832">trilateration_get_A_matrix</a></div><div class="ttdeci">void trilateration_get_A_matrix(uint8_t m, matrix_t anchor_pos_matrix[m][3], matrix_t A_matrix[m][4])</div><div class="ttdoc">Computes the matrix of the equation system: .</div><div class="ttdef"><b>Definition:</b> <a href="trilateration_8c_source.html#l00256">trilateration.c:256</a></div></div>
+<div class="ttc" id="amatrix_8h_html_af38ac6b76d645fea9abd6caeb4d9dd31"><div class="ttname"><a href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a></div><div class="ttdeci">#define matrix_t</div><div class="ttdoc">Define the data type of the matrix elements.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8h_source.html#l00038">matrix.h:38</a></div></div>
+<div class="ttc" id="atrilateration_8c_html_a76695d4831cf7c08b468fe56f117b358"><div class="ttname"><a href="trilateration_8c.html#a76695d4831cf7c08b468fe56f117b358">trilateration_get_particular_solution</a></div><div class="ttdeci">void trilateration_get_particular_solution(uint8_t m, uint8_t n, matrix_t anchor_pos_mat[m][n], matrix_t dist_arr[], matrix_t Xp[])</div><div class="ttdoc">Compute the particular solution, which is the general solution of .</div><div class="ttdef"><b>Definition:</b> <a href="trilateration_8c_source.html#l00179">trilateration.c:179</a></div></div>
+<div class="ttc" id="atrilateration_8c_html_adf749802a4d86c2a97a6bac50d17bfea"><div class="ttname"><a href="trilateration_8c.html#adf749802a4d86c2a97a6bac50d17bfea">trilateration2</a></div><div class="ttdeci">void trilateration2(uint8_t anchor_num, matrix_t anchor_pos_matrix[anchor_num][3], matrix_t dist_arr[], matrix_t solution_x1[], matrix_t solution_x2[])</div><div class="ttdoc">Implement the trilateration algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="trilateration_8c_source.html#l00069">trilateration.c:69</a></div></div>
+<div class="ttc" id="asvd_8h_html_a8194826f85cc3105c4d8d4f342ca8df8"><div class="ttname"><a href="svd_8h.html#a8194826f85cc3105c4d8d4f342ca8df8">svd_get_U_dim</a></div><div class="ttdeci">void svd_get_U_dim(uint8_t m, uint8_t n, matrix_dim_t *u_dim)</div><div class="ttdoc">Calculate the dimension of the matrix U.</div><div class="ttdef"><b>Definition:</b> <a href="svd_8c_source.html#l00096">svd.c:96</a></div></div>
+<div class="ttc" id="astructmatrix__dim__t_html_aac6b6ff205184047714d5c22019bdbab"><div class="ttname"><a href="structmatrix__dim__t.html#aac6b6ff205184047714d5c22019bdbab">matrix_dim_t::col_num</a></div><div class="ttdeci">uint8_t col_num</div><div class="ttdoc">the column number</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8h_source.html#l00062">matrix.h:62</a></div></div>
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+<a href="#func-members">Functions</a> </div>
+ <div class="headertitle">
+<div class="title">trilateration.h File Reference<div class="ingroups"><a class="el" href="group__localization.html">LOCALIZATION</a> » <a class="el" href="group__position__algos.html">POSITION_ALGOS</a> » <a class="el" href="group__pos__algos__common.html">POS_ALGOS_COMMON</a></div></div> </div>
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+
+<p>Implement the trilateration algorithm.
+<a href="#details">More...</a></p>
+<div class="textblock"><code>#include <inttypes.h></code><br />
+<code>#include "<a class="el" href="matrix_8h_source.html">matrix.h</a>"</code><br />
+</div>
+<p><a href="trilateration_8h_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a95fc45efcb10019be21704539eeedefb"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="trilateration_8h.html#a95fc45efcb10019be21704539eeedefb">trilateration1</a> (uint8_t anchor_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> anchor_pos_matrix[anchor_num][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> pseudo_inv_matrix[4][anchor_num], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> homog_sol_arr[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> dist_arr[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> solution_x1[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> solution_x2[])</td></tr>
+<tr class="memdesc:a95fc45efcb10019be21704539eeedefb"><td class="mdescLeft"> </td><td class="mdescRight">Implement the trilateration algorithm using the pre-processed pseudo-inverse matrix. <a href="trilateration_8h.html#a95fc45efcb10019be21704539eeedefb">More...</a><br /></td></tr>
+<tr class="separator:a95fc45efcb10019be21704539eeedefb"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:adf749802a4d86c2a97a6bac50d17bfea"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="trilateration_8h.html#adf749802a4d86c2a97a6bac50d17bfea">trilateration2</a> (uint8_t anchor_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> anchor_pos_matrix[anchor_num][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> dist_arr[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> solution_x1[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> solution_x2[])</td></tr>
+<tr class="memdesc:adf749802a4d86c2a97a6bac50d17bfea"><td class="mdescLeft"> </td><td class="mdescRight">Implement the trilateration algorithm. <a href="trilateration_8h.html#adf749802a4d86c2a97a6bac50d17bfea">More...</a><br /></td></tr>
+<tr class="separator:adf749802a4d86c2a97a6bac50d17bfea"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a3c9dfccb08c7e4cdb5533cd6bc8b5832"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="trilateration_8h.html#a3c9dfccb08c7e4cdb5533cd6bc8b5832">trilateration_get_A_matrix</a> (uint8_t m, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> anchor_pos_matrix[m][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A_matrix[m][4])</td></tr>
+<tr class="memdesc:a3c9dfccb08c7e4cdb5533cd6bc8b5832"><td class="mdescLeft"> </td><td class="mdescRight">Computes the matrix <img class="formulaInl" alt="$ A $" src="form_45.png"/> of the equation system: <img class="formulaInl" alt="$ A \vec{x} = \vec{b}$" src="form_46.png"/>. <a href="trilateration_8h.html#a3c9dfccb08c7e4cdb5533cd6bc8b5832">More...</a><br /></td></tr>
+<tr class="separator:a3c9dfccb08c7e4cdb5533cd6bc8b5832"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:abe0c5c3a77d41a6a94aceb8069ec2082"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="trilateration_8h.html#abe0c5c3a77d41a6a94aceb8069ec2082">trilateration_get_b_vector</a> (uint8_t anchor_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> dist_arr[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> anchor_pos_matrix[anchor_num][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> b_vec[])</td></tr>
+<tr class="memdesc:abe0c5c3a77d41a6a94aceb8069ec2082"><td class="mdescLeft"> </td><td class="mdescRight">Computes the vector <img class="formulaInl" alt="$ \vec{b} $" src="form_47.png"/> of the equation system: <img class="formulaInl" alt="$ A \vec{x} = \vec{b}$" src="form_46.png"/>. <a href="trilateration_8h.html#abe0c5c3a77d41a6a94aceb8069ec2082">More...</a><br /></td></tr>
+<tr class="separator:abe0c5c3a77d41a6a94aceb8069ec2082"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:aadf622c7ec43dce57988a9aef1533758"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="trilateration_8h.html#aadf622c7ec43dce57988a9aef1533758">trilateration_preprocessed_get_particular_solution</a> (<a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> pseudo_inv_matrix[4][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> b_arr[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> particular_solu_arr[])</td></tr>
+<tr class="memdesc:aadf622c7ec43dce57988a9aef1533758"><td class="mdescLeft"> </td><td class="mdescRight">Compute the particular solution, which is the general solution of <img class="formulaInl" alt="$ A \vec{x_0} = \vec{b_0}$" src="form_49.png"/>. <a href="trilateration_8h.html#aadf622c7ec43dce57988a9aef1533758">More...</a><br /></td></tr>
+<tr class="separator:aadf622c7ec43dce57988a9aef1533758"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a76695d4831cf7c08b468fe56f117b358"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="trilateration_8h.html#a76695d4831cf7c08b468fe56f117b358">trilateration_get_particular_solution</a> (uint8_t m, uint8_t n, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> anchor_pos_mat[m][n], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> dist_arr[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> Xp[])</td></tr>
+<tr class="memdesc:a76695d4831cf7c08b468fe56f117b358"><td class="mdescLeft"> </td><td class="mdescRight">Compute the particular solution, which is the general solution of <img class="formulaInl" alt="$ A \vec{x_0} = \vec{b_0} $" src="form_50.png"/>. <a href="trilateration_8h.html#a76695d4831cf7c08b468fe56f117b358">More...</a><br /></td></tr>
+<tr class="separator:a76695d4831cf7c08b468fe56f117b358"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:ab5f06e68df75b4708d722c268932578c"><td class="memItemLeft" align="right" valign="top">uint8_t </td><td class="memItemRight" valign="bottom"><a class="el" href="trilateration_8h.html#ab5f06e68df75b4708d722c268932578c">trilateration_get_rank_and_homogeneous_solution</a> (uint8_t anchor_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> anchor_pos_matrix[anchor_num][3], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> Xh[])</td></tr>
+<tr class="memdesc:ab5f06e68df75b4708d722c268932578c"><td class="mdescLeft"> </td><td class="mdescRight">Compute the rank and the solution of the homogeneous system <img class="formulaInl" alt="$ A \vec{x_0} = 0 $" src="form_51.png"/>. <a href="trilateration_8h.html#ab5f06e68df75b4708d722c268932578c">More...</a><br /></td></tr>
+<tr class="separator:ab5f06e68df75b4708d722c268932578c"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a821d668be2cee0fa1881c05ab99e05fe"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="trilateration_8h.html#a821d668be2cee0fa1881c05ab99e05fe">trilateration_get_quadratic_equation_solution</a> (<a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> particular_solu_arr[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> homogeneous_solution_arr[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> solution_x1[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> solution_x2[])</td></tr>
+<tr class="memdesc:a821d668be2cee0fa1881c05ab99e05fe"><td class="mdescLeft"> </td><td class="mdescRight">Solve a quadratic equation. <a href="trilateration_8h.html#a821d668be2cee0fa1881c05ab99e05fe">More...</a><br /></td></tr>
+<tr class="separator:a821d668be2cee0fa1881c05ab99e05fe"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a4270371ead754327c478d19d57bfafba"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="trilateration_8h.html#a4270371ead754327c478d19d57bfafba">trilateration_solve_linear_equation</a> (uint8_t line_num, uint8_t col_num, <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> pseudo_inv_matrix[line_num][col_num], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> b_vec[], <a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> sol_vec[])</td></tr>
+<tr class="memdesc:a4270371ead754327c478d19d57bfafba"><td class="mdescLeft"> </td><td class="mdescRight">Solve a linear equation. <a href="trilateration_8h.html#a4270371ead754327c478d19d57bfafba">More...</a><br /></td></tr>
+<tr class="separator:a4270371ead754327c478d19d57bfafba"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Implement the trilateration algorithm. </p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd>
+<dd>
+Abdelmoumen Norrdine <a href="#" onclick="location.href='mai'+'lto:'+'a.n'+'or'+'rdi'+'ne'+'@go'+'og'+'lem'+'ai'+'l.c'+'om'; return false;">a.nor<span style="display: none;">.nosp@m.</span>rdin<span style="display: none;">.nosp@m.</span>e@goo<span style="display: none;">.nosp@m.</span>glem<span style="display: none;">.nosp@m.</span>ail.c<span style="display: none;">.nosp@m.</span>om</a> </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="trilateration_8h_source.html">trilateration.h</a>.</p>
+</div><h2 class="groupheader">Function Documentation</h2>
+<a id="a95fc45efcb10019be21704539eeedefb"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a95fc45efcb10019be21704539eeedefb">◆ </a></span>trilateration1()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void trilateration1 </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>anchor_num</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>anchor_pos_matrix</em>[anchor_num][3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>pseudo_inv_matrix</em>[4][anchor_num], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>homog_sol_arr</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>dist_arr</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>solution_x1</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>solution_x2</em>[] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Implement the trilateration algorithm using the pre-processed pseudo-inverse matrix. </p>
+<dl class="section note"><dt>Note</dt><dd>This function should be initialized with the pre-processed pseudo-inverse matrix of the equation system: <img class="formulaInl" alt="$ A \vec{x} = 0 $" src="form_42.png"/>. Caution!: The <code>solution_x1</code> and the <code>solution_x2</code> vectors have a length of 3 or 4 in the case of two-dimensional or three-dimensional space. The first element <img class="formulaInl" alt="$(x_0)$" src="form_43.png"/> of the <code>solution_x1</code>[] and the <code>solution_x2</code>[] vectors is a measure of the solvability of the multilateration problem. For example, in the three-dimensional space: <img class="formulaInl" alt="$ d = x_0 - \left( x_1^{2} + x_2^{2} + x_3^{2} \right)$" src="form_44.png"/>.</dd></dl>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">anchor_num</td><td>number of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">anchor_pos_matrix[][]</td><td>three-dimensional coordinates of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">pseudo_inv_matrix[][]</td><td>pointer to the pre-processed pseudo-inverse matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">homog_sol_arr[]</td><td>the homogeneous solution. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">dist_arr[]</td><td>distances to the reference stations. </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">solution_x1[]</td><td>includes the first solution. It has the length of 3 or 4 in the case of two-dimensional or three-dimensional space. </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">solution_x2[]</td><td>includes the second solution. It has length of 3 or 4 in the case of two-dimensional or three-dimensional space. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="trilateration_8c_source.html#l00032">32</a> of file <a class="el" href="trilateration_8c_source.html">trilateration.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>, <a class="el" href="trilateration_8c_source.html#l00275">trilateration_get_b_vector()</a>, <a class="el" href="trilateration_8c_source.html#l00193">trilateration_get_quadratic_equation_solution()</a>, <a class="el" href="trilateration_8c_source.html#l00121">trilateration_preprocessed_get_particular_solution()</a>, and <a class="el" href="trilateration_8c_source.html#l00291">trilateration_solve_linear_equation()</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="magnetic__based__position_8c_source.html#l00188">magnetic_based_preprocessing_get_position()</a>.</p>
+
+</div>
+</div>
+<a id="adf749802a4d86c2a97a6bac50d17bfea"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#adf749802a4d86c2a97a6bac50d17bfea">◆ </a></span>trilateration2()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void trilateration2 </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>anchor_num</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>anchor_pos_matrix</em>[anchor_num][3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>dist_arr</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>solution_x1</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>solution_x2</em>[] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Implement the trilateration algorithm. </p>
+<dl class="section note"><dt>Note</dt><dd>The pre-processed pseudo-inverse matrix of the equation system: <img class="formulaInl" alt="$ A \vec{x} = 0 $" src="form_42.png"/> is computed on the mobile station. Caution!: The <code>solution_x1</code> and the <code>solution_x2</code> vectors have a length of 3 or 4 in the case of two-dimensional or three-dimensional space. The first element <img class="formulaInl" alt="$(x_0)$" src="form_43.png"/> of the <code>solution_x1</code>[] and the <code>solution_x2</code>[] vectors is a measure of the solvability of the multilateration problem. For example, in the three-dimensional space: <img class="formulaInl" alt="$ d = x_0 - \left( x_1^{2} + x_2^{2} + x_3^{2} \right)$" src="form_44.png"/>.</dd></dl>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">anchor_num</td><td>number of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">anchor_pos_matrix[][]</td><td>three-dimensional coordinates of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">dist_arr[]</td><td>distances to the reference stations. </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">solution_x1[]</td><td>includes the first solution. It has the length of 3 or 4 in the case of two-dimensional or three-dimensional space. </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">solution_x2[]</td><td>includes the second solution. It has the length of 3 or 4 in the case of two-dimensional or three-dimensional space. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="trilateration_8c_source.html#l00069">69</a> of file <a class="el" href="trilateration_8c_source.html">trilateration.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>, <a class="el" href="moore__penrose__pseudo__inverse_8c_source.html#l00038">moore_penrose_get_pinv()</a>, <a class="el" href="trilateration_8c_source.html#l00256">trilateration_get_A_matrix()</a>, <a class="el" href="trilateration_8c_source.html#l00275">trilateration_get_b_vector()</a>, <a class="el" href="trilateration_8c_source.html#l00179">trilateration_get_particular_solution()</a>, <a class="el" href="trilateration_8c_source.html#l00193">trilateration_get_quadratic_equation_solution()</a>, <a class="el" href="trilateration_8c_source.html#l00149">trilateration_get_rank_and_homogeneous_solution()</a>, and <a class="el" href="trilateration_8c_source.html#l00291">trilateration_solve_linear_equation()</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="distance__based__test_8c_source.html#l00032">distance_based_test()</a>, <a class="el" href="magnetic__based__test_8c_source.html#l00034">magnetic_based_test()</a>, and <a class="el" href="multipath__dist__detection__mitigation_8c_source.html#l00133">recog_mitigate_multipath()</a>.</p>
+
+</div>
+</div>
+<a id="a3c9dfccb08c7e4cdb5533cd6bc8b5832"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a3c9dfccb08c7e4cdb5533cd6bc8b5832">◆ </a></span>trilateration_get_A_matrix()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void trilateration_get_A_matrix </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>anchor_pos_matrix</em>[m][3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>A_matrix</em>[m][4] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Computes the matrix <img class="formulaInl" alt="$ A $" src="form_45.png"/> of the equation system: <img class="formulaInl" alt="$ A \vec{x} = \vec{b}$" src="form_46.png"/>. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>number of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">anchor_pos_matrix[][]</td><td>three-dimensional coordinates of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">A_matrix[][]</td><td>pointer to the matrix <img class="formulaInl" alt="$ A $" src="form_45.png"/>. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="trilateration_8c_source.html#l00256">256</a> of file <a class="el" href="trilateration_8c_source.html">trilateration.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="pos__algos__common__test_8c_source.html#l00030">pos_algos_common_test()</a>, <a class="el" href="trilateration_8c_source.html#l00069">trilateration2()</a>, <a class="el" href="trilateration_8c_source.html#l00179">trilateration_get_particular_solution()</a>, and <a class="el" href="trilateration_8c_source.html#l00149">trilateration_get_rank_and_homogeneous_solution()</a>.</p>
+
+</div>
+</div>
+<a id="abe0c5c3a77d41a6a94aceb8069ec2082"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#abe0c5c3a77d41a6a94aceb8069ec2082">◆ </a></span>trilateration_get_b_vector()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void trilateration_get_b_vector </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>anchor_num</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>dist_arr</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>anchor_pos_matrix</em>[anchor_num][3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>b_vec</em>[] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Computes the vector <img class="formulaInl" alt="$ \vec{b} $" src="form_47.png"/> of the equation system: <img class="formulaInl" alt="$ A \vec{x} = \vec{b}$" src="form_46.png"/>. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">anchor_num</td><td>number of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">dist_arr[]</td><td>distances to the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">anchor_pos_matrix[][]</td><td>three-dimensional coordinates of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">b_vec[]</td><td>pointer to the vector <img class="formulaInl" alt="$ vec{b} $" src="form_48.png"/>. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="trilateration_8c_source.html#l00275">275</a> of file <a class="el" href="trilateration_8c_source.html">trilateration.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="trilateration_8c_source.html#l00032">trilateration1()</a>, <a class="el" href="trilateration_8c_source.html#l00069">trilateration2()</a>, and <a class="el" href="trilateration_8c_source.html#l00179">trilateration_get_particular_solution()</a>.</p>
+
+</div>
+</div>
+<a id="a76695d4831cf7c08b468fe56f117b358"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a76695d4831cf7c08b468fe56f117b358">◆ </a></span>trilateration_get_particular_solution()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void trilateration_get_particular_solution </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>m</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>anchor_pos_mat</em>[m][n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>dist_arr</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>Xp</em>[] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute the particular solution, which is the general solution of <img class="formulaInl" alt="$ A \vec{x_0} = \vec{b_0} $" src="form_50.png"/>. </p>
+<dl class="section note"><dt>Note</dt><dd>The particular solution is calculated in the case of three reference stations. The particular solution is computed on the mobile station.</dd></dl>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>number of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>column number of the reference stations matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">anchor_pos_mat[][]</td><td>three-dimensional coordinates of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">dist_arr[]</td><td>distances to the reference stations. </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">Xp[]</td><td>includes the particular solution. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="trilateration_8c_source.html#l00179">179</a> of file <a class="el" href="trilateration_8c_source.html">trilateration.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8c_source.html#l00434">matrix_mul_vec()</a>, <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>, <a class="el" href="moore__penrose__pseudo__inverse_8c_source.html#l00038">moore_penrose_get_pinv()</a>, <a class="el" href="trilateration_8c_source.html#l00256">trilateration_get_A_matrix()</a>, and <a class="el" href="trilateration_8c_source.html#l00275">trilateration_get_b_vector()</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="trilateration_8c_source.html#l00069">trilateration2()</a>.</p>
+
+</div>
+</div>
+<a id="a821d668be2cee0fa1881c05ab99e05fe"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a821d668be2cee0fa1881c05ab99e05fe">◆ </a></span>trilateration_get_quadratic_equation_solution()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void trilateration_get_quadratic_equation_solution </td>
+ <td>(</td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>particular_solu_arr</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>homogeneous_solution_arr</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>solution_x1</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>solution_x2</em>[] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Solve a quadratic equation. </p>
+<p>The quotients of the quadratic equation are derived from the particular and homogeneous solution.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">particular_solu_arr[]</td><td>pointer to the particular solution. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">homogeneous_solution_arr[]</td><td>pointer to the homogeneous solution. </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">solution_x1[]</td><td>presents the first solution. </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">solution_x2[]</td><td>presents the second solution. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="trilateration_8c_source.html#l00193">193</a> of file <a class="el" href="trilateration_8c_source.html">trilateration.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="trilateration_8c_source.html#l00032">trilateration1()</a>, and <a class="el" href="trilateration_8c_source.html#l00069">trilateration2()</a>.</p>
+
+</div>
+</div>
+<a id="ab5f06e68df75b4708d722c268932578c"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#ab5f06e68df75b4708d722c268932578c">◆ </a></span>trilateration_get_rank_and_homogeneous_solution()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">uint8_t trilateration_get_rank_and_homogeneous_solution </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>anchor_num</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>anchor_pos_matrix</em>[anchor_num][3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>Xh</em>[] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute the rank and the solution of the homogeneous system <img class="formulaInl" alt="$ A \vec{x_0} = 0 $" src="form_51.png"/>. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">anchor_num</td><td>number of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">anchor_pos_matrix[][]</td><td>three-dimensional coordinates of the reference stations. </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">Xh[]</td><td>includes the homogeneous solution.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the rank of the matrix <img class="formulaInl" alt="$ A $" src="form_45.png"/>. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="trilateration_8c_source.html#l00149">149</a> of file <a class="el" href="trilateration_8c_source.html">trilateration.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00062">matrix_dim_t::col_num</a>, <a class="el" href="matrix_8c_source.html#l00312">matrix_get_rank()</a>, <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>, <a class="el" href="matrix_8h_source.html#l00061">matrix_dim_t::row_num</a>, <a class="el" href="svd_8c_source.html#l00119">svd()</a>, <a class="el" href="svd_8c_source.html#l00114">svd_get_single_values_num()</a>, <a class="el" href="svd_8c_source.html#l00096">svd_get_U_dim()</a>, and <a class="el" href="trilateration_8c_source.html#l00256">trilateration_get_A_matrix()</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="trilateration_8c_source.html#l00069">trilateration2()</a>.</p>
+
+</div>
+</div>
+<a id="aadf622c7ec43dce57988a9aef1533758"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#aadf622c7ec43dce57988a9aef1533758">◆ </a></span>trilateration_preprocessed_get_particular_solution()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void trilateration_preprocessed_get_particular_solution </td>
+ <td>(</td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>pseudo_inv_matrix</em>[4][3], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>b_arr</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>particular_solu_arr</em>[] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute the particular solution, which is the general solution of <img class="formulaInl" alt="$ A \vec{x_0} = \vec{b_0}$" src="form_49.png"/>. </p>
+<dl class="section note"><dt>Note</dt><dd>The particular solution is calculated in the case of three reference stations. The particular solution is computed using the pre-processed pseudo-inverse matrix.</dd></dl>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">pseudo_inv_matrix[][]</td><td>pointer to the pre-processed pseudo-inverse matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">b_arr[]</td><td>pointer the vector <img class="formulaInl" alt="$ vec{b} $" src="form_48.png"/>. </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">particular_solu_arr[]</td><td>includes the particular solution. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="trilateration_8c_source.html#l00121">121</a> of file <a class="el" href="trilateration_8c_source.html">trilateration.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="trilateration_8c_source.html#l00032">trilateration1()</a>.</p>
+
+</div>
+</div>
+<a id="a4270371ead754327c478d19d57bfafba"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a4270371ead754327c478d19d57bfafba">◆ </a></span>trilateration_solve_linear_equation()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void trilateration_solve_linear_equation </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>line_num</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>col_num</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>pseudo_inv_matrix</em>[line_num][col_num], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>b_vec</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> </td>
+ <td class="paramname"><em>sol_vec</em>[] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Solve a linear equation. </p>
+<p>The linear equation is solved by using the pre-processed pseudo-inverse matrix and the vector <img class="formulaInl" alt="$ \vec{b} $" src="form_47.png"/></p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">line_num</td><td>row number of the pseudo-inverse matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">col_num</td><td>column number of the pseudo-inverse matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">pseudo_inv_matrix[][]</td><td>pointer to the pre-processed pseudo-inverse matrix. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">b_vec[]</td><td>pointer to the vector <img class="formulaInl" alt="$ \vec{b} $" src="form_47.png"/>. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">sol_vec[]</td><td>solution vector. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="trilateration_8c_source.html#l00291">291</a> of file <a class="el" href="trilateration_8c_source.html">trilateration.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00038">matrix_t</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="trilateration_8c_source.html#l00032">trilateration1()</a>, and <a class="el" href="trilateration_8c_source.html#l00069">trilateration2()</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="navelem"><a class="el" href="dir_ca7b3fe3a5c68321cdadecc73cd5d1a0.html">localization</a></li><li class="navelem"><a class="el" href="dir_fdc176930829c278cabf5fddd85dbef8.html">position_algos</a></li><li class="navelem"><a class="el" href="dir_8b81d7492c96188faba0bade87ee2c10.html">pos_algos_common</a></li><li class="navelem"><a class="el" href="dir_321173b8d48684d54b5d9118730b6e4e.html">include</a></li><li class="navelem"><a class="el" href="trilateration_8h.html">trilateration.h</a></li>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
+ </ul>
+</div>
+</body>
+</html>
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+ [ "trilateration2", "trilateration_8h.html#adf749802a4d86c2a97a6bac50d17bfea", null ],
+ [ "trilateration_get_A_matrix", "trilateration_8h.html#a3c9dfccb08c7e4cdb5533cd6bc8b5832", null ],
+ [ "trilateration_get_b_vector", "trilateration_8h.html#abe0c5c3a77d41a6a94aceb8069ec2082", null ],
+ [ "trilateration_get_particular_solution", "trilateration_8h.html#a76695d4831cf7c08b468fe56f117b358", null ],
+ [ "trilateration_get_quadratic_equation_solution", "trilateration_8h.html#a821d668be2cee0fa1881c05ab99e05fe", null ],
+ [ "trilateration_get_rank_and_homogeneous_solution", "trilateration_8h.html#ab5f06e68df75b4708d722c268932578c", null ],
+ [ "trilateration_preprocessed_get_particular_solution", "trilateration_8h.html#aadf622c7ec43dce57988a9aef1533758", null ],
+ [ "trilateration_solve_linear_equation", "trilateration_8h.html#a4270371ead754327c478d19d57bfafba", null ]
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+<div class="title">trilateration.h</div> </div>
+</div><!--header-->
+<div class="contents">
+<a href="trilateration_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="preprocessor">#ifndef TRILATERATION_H_</span></div>
+<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#define TRILATERATION_H_</span></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="preprocessor">#include <inttypes.h></span></div>
+<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>  </div>
+<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="preprocessor">#include "<a class="code" href="matrix_8h.html">matrix.h</a>"</span></div>
+<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>  </div>
+<div class="line"><a name="l00053"></a><span class="lineno"> 53</span> <span class="keywordtype">void</span> <a class="code" href="trilateration_8h.html#a95fc45efcb10019be21704539eeedefb">trilateration1</a>(uint8_t anchor_num,</div>
+<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> anchor_pos_matrix[anchor_num][3],</div>
+<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> pseudo_inv_matrix[4][anchor_num],</div>
+<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> homog_sol_arr[],</div>
+<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> dist_arr[],</div>
+<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> solution_x1[],</div>
+<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> solution_x2[]</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="l00081"></a><span class="lineno"> 81</span> <span class="keywordtype">void</span> <a class="code" href="trilateration_8h.html#adf749802a4d86c2a97a6bac50d17bfea">trilateration2</a>(uint8_t anchor_num,</div>
+<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> anchor_pos_matrix[anchor_num][3],</div>
+<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> dist_arr[],</div>
+<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> solution_x1[],</div>
+<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> solution_x2[]);</div>
+<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  </div>
+<div class="line"><a name="l00096"></a><span class="lineno"> 96</span> <span class="keywordtype">void</span> <a class="code" href="trilateration_8h.html#a3c9dfccb08c7e4cdb5533cd6bc8b5832">trilateration_get_A_matrix</a>(uint8_t m, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> anchor_pos_matrix[m][3],</div>
+<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> A_matrix[m][4]);</div>
+<div class="line"><a name="l00108"></a><span class="lineno"> 108</span> <span class="keywordtype">void</span> <a class="code" href="trilateration_8h.html#abe0c5c3a77d41a6a94aceb8069ec2082">trilateration_get_b_vector</a>(uint8_t anchor_num, <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> dist_arr[],</div>
+<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> anchor_pos_matrix[anchor_num][3],</div>
+<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> b_vec[]);</div>
+<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  </div>
+<div class="line"><a name="l00123"></a><span class="lineno"> 123</span> <span class="keywordtype">void</span> <a class="code" href="trilateration_8h.html#aadf622c7ec43dce57988a9aef1533758">trilateration_preprocessed_get_particular_solution</a>(</div>
+<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> pseudo_inv_matrix[4][3],</div>
+<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> b_arr[],</div>
+<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> particular_solu_arr[]);</div>
+<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  </div>
+<div class="line"><a name="l00140"></a><span class="lineno"> 140</span> <span class="keywordtype">void</span> <a class="code" href="trilateration_8h.html#a76695d4831cf7c08b468fe56f117b358">trilateration_get_particular_solution</a>(uint8_t m, uint8_t n,</div>
+<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> anchor_pos_mat[m][n],</div>
+<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> dist_arr[], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> Xp[]);</div>
+<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  </div>
+<div class="line"><a name="l00154"></a><span class="lineno"> 154</span> uint8_t <a class="code" href="trilateration_8h.html#ab5f06e68df75b4708d722c268932578c">trilateration_get_rank_and_homogeneous_solution</a>(uint8_t anchor_num,</div>
+<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> anchor_pos_matrix[anchor_num][3],</div>
+<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> Xh[]);</div>
+<div class="line"><a name="l00168"></a><span class="lineno"> 168</span> <span class="keywordtype">void</span> <a class="code" href="trilateration_8h.html#a821d668be2cee0fa1881c05ab99e05fe">trilateration_get_quadratic_equation_solution</a>(</div>
+<div class="line"><a name="l00169"></a><span class="lineno"> 169</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> particular_solu_arr[],</div>
+<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> homogeneous_solution_arr[],</div>
+<div class="line"><a name="l00171"></a><span class="lineno"> 171</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> solution_x1[],</div>
+<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> solution_x2[]);</div>
+<div class="line"><a name="l00173"></a><span class="lineno"> 173</span>  </div>
+<div class="line"><a name="l00186"></a><span class="lineno"> 186</span> <span class="keywordtype">void</span> <a class="code" href="trilateration_8h.html#a4270371ead754327c478d19d57bfafba">trilateration_solve_linear_equation</a>(uint8_t line_num, uint8_t col_num,</div>
+<div class="line"><a name="l00187"></a><span class="lineno"> 187</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> pseudo_inv_matrix[line_num][col_num],</div>
+<div class="line"><a name="l00188"></a><span class="lineno"> 188</span>  <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> b_vec[], <a class="code" href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a> sol_vec[]);</div>
+<div class="line"><a name="l00189"></a><span class="lineno"> 189</span>  </div>
+<div class="line"><a name="l00190"></a><span class="lineno"> 190</span> <span class="preprocessor">#endif </span><span class="comment">/* TRILATERATION_H_ */</span><span class="preprocessor"></span></div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="atrilateration_8h_html_a3c9dfccb08c7e4cdb5533cd6bc8b5832"><div class="ttname"><a href="trilateration_8h.html#a3c9dfccb08c7e4cdb5533cd6bc8b5832">trilateration_get_A_matrix</a></div><div class="ttdeci">void trilateration_get_A_matrix(uint8_t m, matrix_t anchor_pos_matrix[m][3], matrix_t A_matrix[m][4])</div><div class="ttdoc">Computes the matrix of the equation system: .</div><div class="ttdef"><b>Definition:</b> <a href="trilateration_8c_source.html#l00256">trilateration.c:256</a></div></div>
+<div class="ttc" id="atrilateration_8h_html_abe0c5c3a77d41a6a94aceb8069ec2082"><div class="ttname"><a href="trilateration_8h.html#abe0c5c3a77d41a6a94aceb8069ec2082">trilateration_get_b_vector</a></div><div class="ttdeci">void trilateration_get_b_vector(uint8_t anchor_num, matrix_t dist_arr[], matrix_t anchor_pos_matrix[anchor_num][3], matrix_t b_vec[])</div><div class="ttdoc">Computes the vector of the equation system: .</div><div class="ttdef"><b>Definition:</b> <a href="trilateration_8c_source.html#l00275">trilateration.c:275</a></div></div>
+<div class="ttc" id="atrilateration_8h_html_a821d668be2cee0fa1881c05ab99e05fe"><div class="ttname"><a href="trilateration_8h.html#a821d668be2cee0fa1881c05ab99e05fe">trilateration_get_quadratic_equation_solution</a></div><div class="ttdeci">void trilateration_get_quadratic_equation_solution(matrix_t particular_solu_arr[], matrix_t homogeneous_solution_arr[], matrix_t solution_x1[], matrix_t solution_x2[])</div><div class="ttdoc">Solve a quadratic equation.</div><div class="ttdef"><b>Definition:</b> <a href="trilateration_8c_source.html#l00193">trilateration.c:193</a></div></div>
+<div class="ttc" id="amatrix_8h_html"><div class="ttname"><a href="matrix_8h.html">matrix.h</a></div><div class="ttdoc">Matrix computations.</div></div>
+<div class="ttc" id="atrilateration_8h_html_aadf622c7ec43dce57988a9aef1533758"><div class="ttname"><a href="trilateration_8h.html#aadf622c7ec43dce57988a9aef1533758">trilateration_preprocessed_get_particular_solution</a></div><div class="ttdeci">void trilateration_preprocessed_get_particular_solution(matrix_t pseudo_inv_matrix[4][3], matrix_t b_arr[], matrix_t particular_solu_arr[])</div><div class="ttdoc">Compute the particular solution, which is the general solution of .</div><div class="ttdef"><b>Definition:</b> <a href="trilateration_8c_source.html#l00121">trilateration.c:121</a></div></div>
+<div class="ttc" id="atrilateration_8h_html_a4270371ead754327c478d19d57bfafba"><div class="ttname"><a href="trilateration_8h.html#a4270371ead754327c478d19d57bfafba">trilateration_solve_linear_equation</a></div><div class="ttdeci">void trilateration_solve_linear_equation(uint8_t line_num, uint8_t col_num, matrix_t pseudo_inv_matrix[line_num][col_num], matrix_t b_vec[], matrix_t sol_vec[])</div><div class="ttdoc">Solve a linear equation.</div><div class="ttdef"><b>Definition:</b> <a href="trilateration_8c_source.html#l00291">trilateration.c:291</a></div></div>
+<div class="ttc" id="atrilateration_8h_html_ab5f06e68df75b4708d722c268932578c"><div class="ttname"><a href="trilateration_8h.html#ab5f06e68df75b4708d722c268932578c">trilateration_get_rank_and_homogeneous_solution</a></div><div class="ttdeci">uint8_t trilateration_get_rank_and_homogeneous_solution(uint8_t anchor_num, matrix_t anchor_pos_matrix[anchor_num][3], matrix_t Xh[])</div><div class="ttdoc">Compute the rank and the solution of the homogeneous system .</div><div class="ttdef"><b>Definition:</b> <a href="trilateration_8c_source.html#l00149">trilateration.c:149</a></div></div>
+<div class="ttc" id="atrilateration_8h_html_adf749802a4d86c2a97a6bac50d17bfea"><div class="ttname"><a href="trilateration_8h.html#adf749802a4d86c2a97a6bac50d17bfea">trilateration2</a></div><div class="ttdeci">void trilateration2(uint8_t anchor_num, matrix_t anchor_pos_matrix[anchor_num][3], matrix_t dist_arr[], matrix_t solution_x1[], matrix_t solution_x2[])</div><div class="ttdoc">Implement the trilateration algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="trilateration_8c_source.html#l00069">trilateration.c:69</a></div></div>
+<div class="ttc" id="atrilateration_8h_html_a76695d4831cf7c08b468fe56f117b358"><div class="ttname"><a href="trilateration_8h.html#a76695d4831cf7c08b468fe56f117b358">trilateration_get_particular_solution</a></div><div class="ttdeci">void trilateration_get_particular_solution(uint8_t m, uint8_t n, matrix_t anchor_pos_mat[m][n], matrix_t dist_arr[], matrix_t Xp[])</div><div class="ttdoc">Compute the particular solution, which is the general solution of .</div><div class="ttdef"><b>Definition:</b> <a href="trilateration_8c_source.html#l00179">trilateration.c:179</a></div></div>
+<div class="ttc" id="amatrix_8h_html_af38ac6b76d645fea9abd6caeb4d9dd31"><div class="ttname"><a href="matrix_8h.html#af38ac6b76d645fea9abd6caeb4d9dd31">matrix_t</a></div><div class="ttdeci">#define matrix_t</div><div class="ttdoc">Define the data type of the matrix elements.</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8h_source.html#l00038">matrix.h:38</a></div></div>
+<div class="ttc" id="atrilateration_8h_html_a95fc45efcb10019be21704539eeedefb"><div class="ttname"><a href="trilateration_8h.html#a95fc45efcb10019be21704539eeedefb">trilateration1</a></div><div class="ttdeci">void trilateration1(uint8_t anchor_num, matrix_t anchor_pos_matrix[anchor_num][3], matrix_t pseudo_inv_matrix[4][anchor_num], matrix_t homog_sol_arr[], matrix_t dist_arr[], matrix_t solution_x1[], matrix_t solution_x2[])</div><div class="ttdoc">Implement the trilateration algorithm using the pre-processed pseudo-inverse matrix.</div><div class="ttdef"><b>Definition:</b> <a href="trilateration_8c_source.html#l00032">trilateration.c:32</a></div></div>
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+ <div id="projectname">RcdMathLib_doc
+ </div>
+ <div id="projectbrief">Open Source Library for Linear and Non-linear Algebra</div>
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+
+<div class="header">
+ <div class="summary">
+<a href="#func-members">Functions</a> </div>
+ <div class="headertitle">
+<div class="title">utils.c File Reference</div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Utilities for linear algebra. Utility-functions are needed by the linear algebra-module as well as other modules such as the position algorithm-module.
+<a href="#details">More...</a></p>
+<div class="textblock"><code>#include <math.h></code><br />
+<code>#include <stdarg.h></code><br />
+<code>#include <stdio.h></code><br />
+<code>#include "<a class="el" href="utils_8h_source.html">utils.h</a>"</code><br />
+<code>#include "<a class="el" href="shell__sort_8h_source.html">shell_sort.h</a>"</code><br />
+</div>
+<p><a href="utils_8c_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a689d2d3db40d341609423404abc5a23a"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="utils_8c.html#a689d2d3db40d341609423404abc5a23a">utils_to_radian</a> (double deg_angle)</td></tr>
+<tr class="memdesc:a689d2d3db40d341609423404abc5a23a"><td class="mdescLeft"> </td><td class="mdescRight">Convert the angle from degrees to radians. <a href="utils_8c.html#a689d2d3db40d341609423404abc5a23a">More...</a><br /></td></tr>
+<tr class="separator:a689d2d3db40d341609423404abc5a23a"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:aad6440ba12fa7e2e1fae5ba6dc99cabf"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="utils_8c.html#aad6440ba12fa7e2e1fae5ba6dc99cabf">utils_sind</a> (double deg_angle)</td></tr>
+<tr class="memdesc:aad6440ba12fa7e2e1fae5ba6dc99cabf"><td class="mdescLeft"> </td><td class="mdescRight">Compute the sine of a variable in degrees. <a href="utils_8c.html#aad6440ba12fa7e2e1fae5ba6dc99cabf">More...</a><br /></td></tr>
+<tr class="separator:aad6440ba12fa7e2e1fae5ba6dc99cabf"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:ad21f654c48115ba2419ca98644a44ae9"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="utils_8c.html#ad21f654c48115ba2419ca98644a44ae9">utils_swap</a> (uint8_t *a, uint8_t *b)</td></tr>
+<tr class="memdesc:ad21f654c48115ba2419ca98644a44ae9"><td class="mdescLeft"> </td><td class="mdescRight">Interchange the values of two variables of type uint8_t. <a href="utils_8c.html#ad21f654c48115ba2419ca98644a44ae9">More...</a><br /></td></tr>
+<tr class="separator:ad21f654c48115ba2419ca98644a44ae9"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a0ae8ea233ea6c519cd0434f8c5bde5e5"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="utils_8c.html#a0ae8ea233ea6c519cd0434f8c5bde5e5">utils_max</a> (double a, double b)</td></tr>
+<tr class="memdesc:a0ae8ea233ea6c519cd0434f8c5bde5e5"><td class="mdescLeft"> </td><td class="mdescRight">Returns the greater of two real numbers. <a href="utils_8c.html#a0ae8ea233ea6c519cd0434f8c5bde5e5">More...</a><br /></td></tr>
+<tr class="separator:a0ae8ea233ea6c519cd0434f8c5bde5e5"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:ab734a543e5543adb2bd98e1bf279a23d"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="utils_8c.html#ab734a543e5543adb2bd98e1bf279a23d">utils_min</a> (double a, double b)</td></tr>
+<tr class="memdesc:ab734a543e5543adb2bd98e1bf279a23d"><td class="mdescLeft"> </td><td class="mdescRight">Returns the smaller of two real numbers. <a href="utils_8c.html#ab734a543e5543adb2bd98e1bf279a23d">More...</a><br /></td></tr>
+<tr class="separator:ab734a543e5543adb2bd98e1bf279a23d"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a8163bb6a1c9742b9607fd87c6b3df5c5"><td class="memItemLeft" align="right" valign="top">uint8_t </td><td class="memItemRight" valign="bottom"><a class="el" href="utils_8c.html#a8163bb6a1c9742b9607fd87c6b3df5c5">utils_u8_max</a> (uint8_t a, uint8_t b)</td></tr>
+<tr class="memdesc:a8163bb6a1c9742b9607fd87c6b3df5c5"><td class="mdescLeft"> </td><td class="mdescRight">Returns the greater of two numbers from type uint8_t. <a href="utils_8c.html#a8163bb6a1c9742b9607fd87c6b3df5c5">More...</a><br /></td></tr>
+<tr class="separator:a8163bb6a1c9742b9607fd87c6b3df5c5"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a81dabd4841ab656130497f0600979850"><td class="memItemLeft" align="right" valign="top">uint8_t </td><td class="memItemRight" valign="bottom"><a class="el" href="utils_8c.html#a81dabd4841ab656130497f0600979850">utils_u8_min</a> (uint8_t a, uint8_t b)</td></tr>
+<tr class="memdesc:a81dabd4841ab656130497f0600979850"><td class="mdescLeft"> </td><td class="mdescRight">Returns the smaller of two numbers from type uint8_t. <a href="utils_8c.html#a81dabd4841ab656130497f0600979850">More...</a><br /></td></tr>
+<tr class="separator:a81dabd4841ab656130497f0600979850"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a335d8d6c4b945638261228cd116cccd6"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="utils_8c.html#a335d8d6c4b945638261228cd116cccd6">utils_printf</a> (char *format_str,...)</td></tr>
+<tr class="memdesc:a335d8d6c4b945638261228cd116cccd6"><td class="mdescLeft"> </td><td class="mdescRight">Print by using variable format string as well as argument lists. <a href="utils_8c.html#a335d8d6c4b945638261228cd116cccd6">More...</a><br /></td></tr>
+<tr class="separator:a335d8d6c4b945638261228cd116cccd6"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:acda1e3a1b76af6e0e57b507472986ad6"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="utils_8c.html#acda1e3a1b76af6e0e57b507472986ad6">utils_mean</a> (uint8_t arr_size, <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> in_arr[])</td></tr>
+<tr class="memdesc:acda1e3a1b76af6e0e57b507472986ad6"><td class="mdescLeft"> </td><td class="mdescRight">Compute the mean value of a data set. <a href="utils_8c.html#acda1e3a1b76af6e0e57b507472986ad6">More...</a><br /></td></tr>
+<tr class="separator:acda1e3a1b76af6e0e57b507472986ad6"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a535a04a4bff82c88599e4648dfa7cfe1"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="utils_8c.html#a535a04a4bff82c88599e4648dfa7cfe1">utils_moving_average</a> (uint8_t arr_size, <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> in_arr[], uint8_t window_size, <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> out_arr[])</td></tr>
+<tr class="memdesc:a535a04a4bff82c88599e4648dfa7cfe1"><td class="mdescLeft"> </td><td class="mdescRight">Compute the moving average of a data set. <a href="utils_8c.html#a535a04a4bff82c88599e4648dfa7cfe1">More...</a><br /></td></tr>
+<tr class="separator:a535a04a4bff82c88599e4648dfa7cfe1"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a971d455baef2d25c61e94c4bc4ac13ee"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="utils_8c.html#a971d455baef2d25c61e94c4bc4ac13ee">utils_get_median</a> (<a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> arr[], uint8_t length)</td></tr>
+<tr class="memdesc:a971d455baef2d25c61e94c4bc4ac13ee"><td class="mdescLeft"> </td><td class="mdescRight">Compute the median of a finite array of numbers. <a href="utils_8c.html#a971d455baef2d25c61e94c4bc4ac13ee">More...</a><br /></td></tr>
+<tr class="separator:a971d455baef2d25c61e94c4bc4ac13ee"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a8cda5a6c15e99e2b76abfb04316301d8"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="utils_8c.html#a8cda5a6c15e99e2b76abfb04316301d8">utils_get_save_square_root</a> (double x, double y)</td></tr>
+<tr class="memdesc:a8cda5a6c15e99e2b76abfb04316301d8"><td class="mdescLeft"> </td><td class="mdescRight">sqrt(a^2 + b^2) without under/overflow. <a href="utils_8c.html#a8cda5a6c15e99e2b76abfb04316301d8">More...</a><br /></td></tr>
+<tr class="separator:a8cda5a6c15e99e2b76abfb04316301d8"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Utilities for linear algebra. Utility-functions are needed by the linear algebra-module as well as other modules such as the position algorithm-module. </p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="utils_8c_source.html">utils.c</a>.</p>
+</div><h2 class="groupheader">Function Documentation</h2>
+<a id="a971d455baef2d25c61e94c4bc4ac13ee"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a971d455baef2d25c61e94c4bc4ac13ee">◆ </a></span>utils_get_median()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">double utils_get_median </td>
+ <td>(</td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>arr</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>length</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute the median of a finite array of numbers. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">arr[]</td><td>pointer to the data set. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">length</td><td>size of the data set.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the median value of the data set. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="utils_8c_source.html#l00152">152</a> of file <a class="el" href="utils_8c_source.html">utils.c</a>.</p>
+
+<p class="reference">References <a class="el" href="shell__sort_8c_source.html#l00049">shell_sort()</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="utils__test_8c_source.html#l00028">utils_test()</a>.</p>
+
+</div>
+</div>
+<a id="a8cda5a6c15e99e2b76abfb04316301d8"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a8cda5a6c15e99e2b76abfb04316301d8">◆ </a></span>utils_get_save_square_root()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">double utils_get_save_square_root </td>
+ <td>(</td>
+ <td class="paramtype">double </td>
+ <td class="paramname"><em>x</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">double </td>
+ <td class="paramname"><em>y</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>sqrt(a^2 + b^2) without under/overflow. </p>
+<p>Compute the square root without under/overflow. </p>
+
+<p class="definition">Definition at line <a class="el" href="utils_8c_source.html#l00168">168</a> of file <a class="el" href="utils_8c_source.html">utils.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="qr__householder_8c_source.html#l00033">qr_householder_decomp()</a>.</p>
+
+</div>
+</div>
+<a id="a0ae8ea233ea6c519cd0434f8c5bde5e5"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a0ae8ea233ea6c519cd0434f8c5bde5e5">◆ </a></span>utils_max()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">double utils_max </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>b</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Returns the greater of two real numbers. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">a</td><td>the first value to compare. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">b</td><td>the second value to compare.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the greater of a and b. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="utils_8c_source.html#l00055">55</a> of file <a class="el" href="utils_8c_source.html">utils.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="loc__gauss__newton_8c_source.html#l00030">loc_gauss_newton()</a>, <a class="el" href="modified__gauss__newton_8c_source.html#l00032">modified_gauss_newton()</a>, and <a class="el" href="utils__test_8c_source.html#l00028">utils_test()</a>.</p>
+
+</div>
+</div>
+<a id="acda1e3a1b76af6e0e57b507472986ad6"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#acda1e3a1b76af6e0e57b507472986ad6">◆ </a></span>utils_mean()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">double utils_mean </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>arr_size</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>in_arr</em>[] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute the mean value of a data set. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">arr_size</td><td>size of the data set. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">in_arr[]</td><td>pointer to the data set.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the mean value of the data set. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="utils_8c_source.html#l00105">105</a> of file <a class="el" href="utils_8c_source.html">utils.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="utils__test_8c_source.html#l00028">utils_test()</a>.</p>
+
+</div>
+</div>
+<a id="ab734a543e5543adb2bd98e1bf279a23d"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#ab734a543e5543adb2bd98e1bf279a23d">◆ </a></span>utils_min()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">double utils_min </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>b</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Returns the smaller of two real numbers. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">a</td><td>the first value to compare. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">b</td><td>the second value to compare.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the smaller of a and b. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="utils_8c_source.html#l00065">65</a> of file <a class="el" href="utils_8c_source.html">utils.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="utils__test_8c_source.html#l00028">utils_test()</a>.</p>
+
+</div>
+</div>
+<a id="a535a04a4bff82c88599e4648dfa7cfe1"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a535a04a4bff82c88599e4648dfa7cfe1">◆ </a></span>utils_moving_average()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void utils_moving_average </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>arr_size</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>in_arr</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>window_size</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>out_arr</em>[] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute the moving average of a data set. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">arr_size</td><td>size of the data set. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">in_arr[]</td><td>pointer to the data set. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">window_size</td><td>window size. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">out_arr</td><td>pointer to the values of the moving average. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="utils_8c_source.html#l00121">121</a> of file <a class="el" href="utils_8c_source.html">utils.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="utils__test_8c_source.html#l00028">utils_test()</a>.</p>
+
+</div>
+</div>
+<a id="a335d8d6c4b945638261228cd116cccd6"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a335d8d6c4b945638261228cd116cccd6">◆ </a></span>utils_printf()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void utils_printf </td>
+ <td>(</td>
+ <td class="paramtype">char * </td>
+ <td class="paramname"><em>format_str</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"> </td>
+ <td class="paramname"><em>...</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Print by using variable format string as well as argument lists. </p>
+<p>This function enables to print data by using a variable format string as well as argument list. Furthermore, it avoids the error: "format not a string literal", if printf is used.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">*format_str</td><td>format string. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">...</td><td>argument list. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="utils_8c_source.html#l00096">96</a> of file <a class="el" href="utils_8c_source.html">utils.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="matrix_8c_source.html#l00247">matrix_flex_part_print()</a>, <a class="el" href="matrix_8c_source.html#l00220">matrix_flex_print()</a>, and <a class="el" href="vector_8c_source.html#l00284">vector_flex_print()</a>.</p>
+
+</div>
+</div>
+<a id="aad6440ba12fa7e2e1fae5ba6dc99cabf"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#aad6440ba12fa7e2e1fae5ba6dc99cabf">◆ </a></span>utils_sind()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">double utils_sind </td>
+ <td>(</td>
+ <td class="paramtype">double </td>
+ <td class="paramname"><em>deg_angle</em></td><td>)</td>
+ <td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute the sine of a variable in degrees. </p>
+<p>Calculate the sine of the variable deg_angle, which is expressed in degrees.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">deg_angle</td><td>angle in degrees.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>sine value. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="utils_8c_source.html#l00039">39</a> of file <a class="el" href="utils_8c_source.html">utils.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00054">M_PI</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="utils__test_8c_source.html#l00028">utils_test()</a>.</p>
+
+</div>
+</div>
+<a id="ad21f654c48115ba2419ca98644a44ae9"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#ad21f654c48115ba2419ca98644a44ae9">◆ </a></span>utils_swap()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void utils_swap </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t * </td>
+ <td class="paramname"><em>a</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t * </td>
+ <td class="paramname"><em>b</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Interchange the values of two variables of type uint8_t. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">*a</td><td>pointer to first variable. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">*b</td><td>pointer to second variable. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="utils_8c_source.html#l00046">46</a> of file <a class="el" href="utils_8c_source.html">utils.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="utils__test_8c_source.html#l00028">utils_test()</a>.</p>
+
+</div>
+</div>
+<a id="a689d2d3db40d341609423404abc5a23a"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a689d2d3db40d341609423404abc5a23a">◆ </a></span>utils_to_radian()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">double utils_to_radian </td>
+ <td>(</td>
+ <td class="paramtype">double </td>
+ <td class="paramname"><em>deg_angle</em></td><td>)</td>
+ <td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Convert the angle from degrees to radians. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">deg_angle</td><td>angle in degrees.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>angle in radians. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="utils_8c_source.html#l00031">31</a> of file <a class="el" href="utils_8c_source.html">utils.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00054">M_PI</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="magnetic__based__test_8c_source.html#l00034">magnetic_based_test()</a>, and <a class="el" href="utils__test_8c_source.html#l00028">utils_test()</a>.</p>
+
+</div>
+</div>
+<a id="a8163bb6a1c9742b9607fd87c6b3df5c5"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a8163bb6a1c9742b9607fd87c6b3df5c5">◆ </a></span>utils_u8_max()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">uint8_t utils_u8_max </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>a</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>b</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Returns the greater of two numbers from type uint8_t. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">a</td><td>the first value to compare. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">b</td><td>the second value to compare.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the greater of a and b. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="utils_8c_source.html#l00075">75</a> of file <a class="el" href="utils_8c_source.html">utils.c</a>.</p>
+
+</div>
+</div>
+<a id="a81dabd4841ab656130497f0600979850"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a81dabd4841ab656130497f0600979850">◆ </a></span>utils_u8_min()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">uint8_t utils_u8_min </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>a</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>b</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Returns the smaller of two numbers from type uint8_t. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">a</td><td>the first value to compare. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">b</td><td>the second value to compare.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the smaller of a and b. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="utils_8c_source.html#l00085">85</a> of file <a class="el" href="utils_8c_source.html">utils.c</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="navelem"><a class="el" href="dir_8c4128baa09a573ad2b8b8c0061a04c9.html">linear_algebra</a></li><li class="navelem"><a class="el" href="dir_08749d3fb0d5743bfaf3c7bce248dc40.html">utilities</a></li><li class="navelem"><a class="el" href="utils_8c.html">utils.c</a></li>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
+ </ul>
+</div>
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+ [ "utils_get_save_square_root", "utils_8c.html#a8cda5a6c15e99e2b76abfb04316301d8", null ],
+ [ "utils_max", "utils_8c.html#a0ae8ea233ea6c519cd0434f8c5bde5e5", null ],
+ [ "utils_mean", "utils_8c.html#acda1e3a1b76af6e0e57b507472986ad6", null ],
+ [ "utils_min", "utils_8c.html#ab734a543e5543adb2bd98e1bf279a23d", null ],
+ [ "utils_moving_average", "utils_8c.html#a535a04a4bff82c88599e4648dfa7cfe1", null ],
+ [ "utils_printf", "utils_8c.html#a335d8d6c4b945638261228cd116cccd6", null ],
+ [ "utils_sind", "utils_8c.html#aad6440ba12fa7e2e1fae5ba6dc99cabf", null ],
+ [ "utils_swap", "utils_8c.html#ad21f654c48115ba2419ca98644a44ae9", null ],
+ [ "utils_to_radian", "utils_8c.html#a689d2d3db40d341609423404abc5a23a", null ],
+ [ "utils_u8_max", "utils_8c.html#a8163bb6a1c9742b9607fd87c6b3df5c5", null ],
+ [ "utils_u8_min", "utils_8c.html#a81dabd4841ab656130497f0600979850", null ]
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+<html xmlns="http://www.w3.org/1999/xhtml">
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+<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 1.8.16"/>
+<meta name="viewport" content="width=device-width, initial-scale=1"/>
+<title>RcdMathLib_doc: utils.c Source File</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
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+<script type="text/javascript" src="dynsections.js"></script>
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+<script type="text/javascript" src="navtreedata.js"></script>
+<script type="text/javascript" src="navtree.js"></script>
+<script type="text/javascript">
+/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&dn=gpl-2.0.txt GPL-v2 */
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+<link href="search/search.css" rel="stylesheet" type="text/css"/>
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+ <tbody>
+ <tr style="height: 56px;">
+ <td id="projectalign" style="padding-left: 0.5em;">
+ <div id="projectname">RcdMathLib_doc
+ </div>
+ <div id="projectbrief">Open Source Library for Linear and Non-linear Algebra</div>
+ </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.16 -->
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+<!-- window showing the filter options -->
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+ name="MSearchResults" id="MSearchResults">
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+
+<div class="header">
+ <div class="headertitle">
+<div class="title">utils.c</div> </div>
+</div><!--header-->
+<div class="contents">
+<a href="utils_8c.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="preprocessor">#include <math.h></span></div>
+<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="preprocessor">#include <stdarg.h></span></div>
+<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#include <stdio.h></span></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="preprocessor">#include "<a class="code" href="utils_8h.html">utils.h</a>"</span></div>
+<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="preprocessor">#include "<a class="code" href="shell__sort_8h.html">shell_sort.h</a>"</span></div>
+<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>  </div>
+<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="comment">// from degree to radian</span></div>
+<div class="line"><a name="l00031"></a><span class="lineno"><a class="line" href="utils_8c.html#a689d2d3db40d341609423404abc5a23a"> 31</a></span> <span class="keywordtype">double</span> <a class="code" href="utils_8c.html#a689d2d3db40d341609423404abc5a23a">utils_to_radian</a>(<span class="keywordtype">double</span> deg_angle)</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="keywordtype">double</span> radians_angle = deg_angle * <a class="code" href="matrix_8h.html#ae71449b1cc6e6250b91f539153a7a0d3">M_PI</a> / 180.0;</div>
+<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  </div>
+<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  <span class="keywordflow">return</span> radians_angle;</div>
+<div class="line"><a name="l00036"></a><span class="lineno"> 36</span> }</div>
+<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  </div>
+<div class="line"><a name="l00038"></a><span class="lineno"> 38</span> <span class="comment">//Sine of argument in degrees</span></div>
+<div class="line"><a name="l00039"></a><span class="lineno"><a class="line" href="utils_8c.html#aad6440ba12fa7e2e1fae5ba6dc99cabf"> 39</a></span> <span class="keywordtype">double</span> <a class="code" href="utils_8c.html#aad6440ba12fa7e2e1fae5ba6dc99cabf">utils_sind</a>(<span class="keywordtype">double</span> deg_angle)</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="keywordtype">double</span> radians_angle = deg_angle * <a class="code" href="matrix_8h.html#ae71449b1cc6e6250b91f539153a7a0d3">M_PI</a> / 180.0;</div>
+<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  </div>
+<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  <span class="keywordflow">return</span> sin(radians_angle);</div>
+<div class="line"><a name="l00044"></a><span class="lineno"> 44</span> }</div>
+<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  </div>
+<div class="line"><a name="l00046"></a><span class="lineno"><a class="line" href="utils_8c.html#ad21f654c48115ba2419ca98644a44ae9"> 46</a></span> <span class="keywordtype">void</span> <a class="code" href="utils_8c.html#ad21f654c48115ba2419ca98644a44ae9">utils_swap</a>(uint8_t *a, uint8_t *b)</div>
+<div class="line"><a name="l00047"></a><span class="lineno"> 47</span> {</div>
+<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  uint8_t tmp;</div>
+<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  </div>
+<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  tmp = *a;</div>
+<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  *a = *b;</div>
+<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  *b = tmp;</div>
+<div class="line"><a name="l00053"></a><span class="lineno"> 53</span> }</div>
+<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  </div>
+<div class="line"><a name="l00055"></a><span class="lineno"><a class="line" href="utils_8c.html#a0ae8ea233ea6c519cd0434f8c5bde5e5"> 55</a></span> <span class="keywordtype">double</span> <a class="code" href="utils_8c.html#a0ae8ea233ea6c519cd0434f8c5bde5e5">utils_max</a>(<span class="keywordtype">double</span> a, <span class="keywordtype">double</span> b)</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="keywordflow">if</span> (a < b) {</div>
+<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  <span class="keywordflow">return</span> b;</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>  <span class="keywordflow">else</span> {</div>
+<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  <span class="keywordflow">return</span> a;</div>
+<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  }</div>
+<div class="line"><a name="l00063"></a><span class="lineno"> 63</span> }</div>
+<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  </div>
+<div class="line"><a name="l00065"></a><span class="lineno"><a class="line" href="utils_8c.html#ab734a543e5543adb2bd98e1bf279a23d"> 65</a></span> <span class="keywordtype">double</span> <a class="code" href="utils_8c.html#ab734a543e5543adb2bd98e1bf279a23d">utils_min</a>(<span class="keywordtype">double</span> a, <span class="keywordtype">double</span> b)</div>
+<div class="line"><a name="l00066"></a><span class="lineno"> 66</span> {</div>
+<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  <span class="keywordflow">if</span> (a < b) {</div>
+<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  <span class="keywordflow">return</span> a;</div>
+<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  }</div>
+<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  <span class="keywordflow">else</span> {</div>
+<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  <span class="keywordflow">return</span> b;</div>
+<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  }</div>
+<div class="line"><a name="l00073"></a><span class="lineno"> 73</span> }</div>
+<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  </div>
+<div class="line"><a name="l00075"></a><span class="lineno"><a class="line" href="utils_8c.html#a8163bb6a1c9742b9607fd87c6b3df5c5"> 75</a></span> uint8_t <a class="code" href="utils_8c.html#a8163bb6a1c9742b9607fd87c6b3df5c5">utils_u8_max</a>(uint8_t a, uint8_t b)</div>
+<div class="line"><a name="l00076"></a><span class="lineno"> 76</span> {</div>
+<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  <span class="keywordflow">if</span> (a < b) {</div>
+<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  <span class="keywordflow">return</span> b;</div>
+<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  }</div>
+<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  <span class="keywordflow">else</span> {</div>
+<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  <span class="keywordflow">return</span> a;</div>
+<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  }</div>
+<div class="line"><a name="l00083"></a><span class="lineno"> 83</span> }</div>
+<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  </div>
+<div class="line"><a name="l00085"></a><span class="lineno"><a class="line" href="utils_8c.html#a81dabd4841ab656130497f0600979850"> 85</a></span> uint8_t <a class="code" href="utils_8c.html#a81dabd4841ab656130497f0600979850">utils_u8_min</a>(uint8_t a, uint8_t b)</div>
+<div class="line"><a name="l00086"></a><span class="lineno"> 86</span> {</div>
+<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  <span class="keywordflow">if</span> (a < b) {</div>
+<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  <span class="keywordflow">return</span> a;</div>
+<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  }</div>
+<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  <span class="keywordflow">else</span> {</div>
+<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  <span class="keywordflow">return</span> b;</div>
+<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  }</div>
+<div class="line"><a name="l00093"></a><span class="lineno"> 93</span> }</div>
+<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  </div>
+<div class="line"><a name="l00095"></a><span class="lineno"> 95</span> <span class="comment">// Enables to use variable format strings as well as argument lists</span></div>
+<div class="line"><a name="l00096"></a><span class="lineno"><a class="line" href="utils_8c.html#a335d8d6c4b945638261228cd116cccd6"> 96</a></span> <span class="keywordtype">void</span> <a class="code" href="utils_8c.html#a335d8d6c4b945638261228cd116cccd6">utils_printf</a>(<span class="keywordtype">char</span> *format_str, ...)</div>
+<div class="line"><a name="l00097"></a><span class="lineno"> 97</span> {</div>
+<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  va_list args;</div>
+<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  </div>
+<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  va_start(args, format_str);</div>
+<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  vprintf(format_str, args);</div>
+<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  va_end(args);</div>
+<div class="line"><a name="l00103"></a><span class="lineno"> 103</span> }</div>
+<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  </div>
+<div class="line"><a name="l00105"></a><span class="lineno"><a class="line" href="utils_8c.html#acda1e3a1b76af6e0e57b507472986ad6"> 105</a></span> <span class="keywordtype">double</span> <a class="code" href="utils_8c.html#acda1e3a1b76af6e0e57b507472986ad6">utils_mean</a>(uint8_t arr_size, <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> in_arr[])</div>
+<div class="line"><a name="l00106"></a><span class="lineno"> 106</span> {</div>
+<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  <span class="keywordtype">double</span> mean = 0.0;</div>
+<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  </div>
+<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  <span class="keywordflow">if</span> (arr_size <= 0) {</div>
+<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  puts(<span class="stringliteral">"Not valid input array size !!!"</span>);</div>
+<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  <span class="keywordflow">return</span> mean;</div>
+<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  }</div>
+<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  </div>
+<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  <span class="keywordflow">for</span> (uint8_t i = 0; i < arr_size; i++) {</div>
+<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  mean += in_arr[i];</div>
+<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  }</div>
+<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  </div>
+<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  <span class="keywordflow">return</span> mean / arr_size;</div>
+<div class="line"><a name="l00119"></a><span class="lineno"> 119</span> }</div>
+<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  </div>
+<div class="line"><a name="l00121"></a><span class="lineno"><a class="line" href="utils_8c.html#a535a04a4bff82c88599e4648dfa7cfe1"> 121</a></span> <span class="keywordtype">void</span> <a class="code" href="utils_8c.html#a535a04a4bff82c88599e4648dfa7cfe1">utils_moving_average</a>(uint8_t arr_size, <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> in_arr[],</div>
+<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  uint8_t window_size,</div>
+<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> out_arr[])</div>
+<div class="line"><a name="l00124"></a><span class="lineno"> 124</span> {</div>
+<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  <span class="keywordtype">double</span> sum = 0.0;</div>
+<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  <span class="keywordtype">double</span> trail_value = 0;</div>
+<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  uint8_t pos = 0;</div>
+<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  </div>
+<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  <span class="keywordflow">if</span> (arr_size <= 0) {</div>
+<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  puts(<span class="stringliteral">"Not valid input array size !!!"</span>);</div>
+<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  <span class="keywordflow">return</span>;</div>
+<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  }</div>
+<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  </div>
+<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  <span class="keywordflow">if</span> (window_size <= 0) {</div>
+<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  puts(<span class="stringliteral">"Not valid window size !!!"</span>);</div>
+<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  <span class="keywordflow">return</span>;</div>
+<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  }</div>
+<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  </div>
+<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  <span class="keywordflow">for</span> (uint8_t i = 0; i < arr_size; i++) {</div>
+<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  sum = sum - trail_value + in_arr[i];</div>
+<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  out_arr[i] = sum / window_size;</div>
+<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  </div>
+<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  pos++;</div>
+<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  <span class="keywordflow">if</span> (pos >= window_size) {</div>
+<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  </div>
+<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  trail_value = in_arr[pos - window_size];</div>
+<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>  </div>
+<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>  }</div>
+<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  }</div>
+<div class="line"><a name="l00150"></a><span class="lineno"> 150</span> }</div>
+<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>  </div>
+<div class="line"><a name="l00152"></a><span class="lineno"><a class="line" href="utils_8c.html#a971d455baef2d25c61e94c4bc4ac13ee"> 152</a></span> <span class="keywordtype">double</span> <a class="code" href="utils_8c.html#a971d455baef2d25c61e94c4bc4ac13ee">utils_get_median</a>(<a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> arr[], uint8_t length)</div>
+<div class="line"><a name="l00153"></a><span class="lineno"> 153</span> {</div>
+<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>  <span class="keywordtype">int</span> middle = length / 2;</div>
+<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  </div>
+<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>  <a class="code" href="shell__sort_8h.html#a569649d96b2e8f453793ea166d3e96a6">shell_sort</a>(arr, length);</div>
+<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  </div>
+<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  <span class="keywordflow">if</span> (length % 2 == 1) {</div>
+<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  <span class="keywordflow">return</span> arr[middle];</div>
+<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  }</div>
+<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>  <span class="keywordflow">else</span> {</div>
+<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  <span class="keywordflow">return</span> (arr[middle - 1] + arr[middle]) / 2.0;</div>
+<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>  }</div>
+<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>  </div>
+<div class="line"><a name="l00165"></a><span class="lineno"> 165</span> }</div>
+<div class="line"><a name="l00166"></a><span class="lineno"> 166</span>  </div>
+<div class="line"><a name="l00168"></a><span class="lineno"><a class="line" href="utils_8c.html#a8cda5a6c15e99e2b76abfb04316301d8"> 168</a></span> <span class="keywordtype">double</span> <a class="code" href="utils_8c.html#a8cda5a6c15e99e2b76abfb04316301d8">utils_get_save_square_root</a>(<span class="keywordtype">double</span> x, <span class="keywordtype">double</span> y)</div>
+<div class="line"><a name="l00169"></a><span class="lineno"> 169</span> {</div>
+<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>  <span class="keywordtype">double</span> sqr_root;</div>
+<div class="line"><a name="l00171"></a><span class="lineno"> 171</span>  </div>
+<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>  <span class="keywordflow">if</span> (fabs(x) > fabs(y)) {</div>
+<div class="line"><a name="l00173"></a><span class="lineno"> 173</span>  sqr_root = y / x;</div>
+<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>  sqr_root = fabs(x) * sqrt(1 + sqr_root * sqr_root);</div>
+<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>  }</div>
+<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>  <span class="keywordflow">else</span> <span class="keywordflow">if</span> (y != 0) {</div>
+<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>  sqr_root = x / y;</div>
+<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>  sqr_root = fabs(y) * sqrt(1 + sqr_root * sqr_root);</div>
+<div class="line"><a name="l00179"></a><span class="lineno"> 179</span>  }</div>
+<div class="line"><a name="l00180"></a><span class="lineno"> 180</span>  <span class="keywordflow">else</span> {</div>
+<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>  sqr_root = 0.0;</div>
+<div class="line"><a name="l00182"></a><span class="lineno"> 182</span>  }</div>
+<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>  </div>
+<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>  <span class="keywordflow">return</span> sqr_root;</div>
+<div class="line"><a name="l00185"></a><span class="lineno"> 185</span> }</div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="ashell__sort_8h_html_a569649d96b2e8f453793ea166d3e96a6"><div class="ttname"><a href="shell__sort_8h.html#a569649d96b2e8f453793ea166d3e96a6">shell_sort</a></div><div class="ttdeci">void shell_sort(vector_t *arr, uint8_t length)</div><div class="ttdoc">Sort a data set of type utils_t by using the Shell sort algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="shell__sort_8c_source.html#l00049">shell_sort.c:49</a></div></div>
+<div class="ttc" id="autils_8c_html_a8163bb6a1c9742b9607fd87c6b3df5c5"><div class="ttname"><a href="utils_8c.html#a8163bb6a1c9742b9607fd87c6b3df5c5">utils_u8_max</a></div><div class="ttdeci">uint8_t utils_u8_max(uint8_t a, uint8_t b)</div><div class="ttdoc">Returns the greater of two numbers from type uint8_t.</div><div class="ttdef"><b>Definition:</b> <a href="utils_8c_source.html#l00075">utils.c:75</a></div></div>
+<div class="ttc" id="avector_8h_html_acb41430bc5720dda7d1c45d91a0b0221"><div class="ttname"><a href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a></div><div class="ttdeci">#define vector_t</div><div class="ttdoc">Define the data type of the vector elements.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8h_source.html#l00033">vector.h:33</a></div></div>
+<div class="ttc" id="autils_8c_html_ad21f654c48115ba2419ca98644a44ae9"><div class="ttname"><a href="utils_8c.html#ad21f654c48115ba2419ca98644a44ae9">utils_swap</a></div><div class="ttdeci">void utils_swap(uint8_t *a, uint8_t *b)</div><div class="ttdoc">Interchange the values of two variables of type uint8_t.</div><div class="ttdef"><b>Definition:</b> <a href="utils_8c_source.html#l00046">utils.c:46</a></div></div>
+<div class="ttc" id="autils_8c_html_aad6440ba12fa7e2e1fae5ba6dc99cabf"><div class="ttname"><a href="utils_8c.html#aad6440ba12fa7e2e1fae5ba6dc99cabf">utils_sind</a></div><div class="ttdeci">double utils_sind(double deg_angle)</div><div class="ttdoc">Compute the sine of a variable in degrees.</div><div class="ttdef"><b>Definition:</b> <a href="utils_8c_source.html#l00039">utils.c:39</a></div></div>
+<div class="ttc" id="autils_8c_html_a689d2d3db40d341609423404abc5a23a"><div class="ttname"><a href="utils_8c.html#a689d2d3db40d341609423404abc5a23a">utils_to_radian</a></div><div class="ttdeci">double utils_to_radian(double deg_angle)</div><div class="ttdoc">Convert the angle from degrees to radians.</div><div class="ttdef"><b>Definition:</b> <a href="utils_8c_source.html#l00031">utils.c:31</a></div></div>
+<div class="ttc" id="autils_8c_html_a971d455baef2d25c61e94c4bc4ac13ee"><div class="ttname"><a href="utils_8c.html#a971d455baef2d25c61e94c4bc4ac13ee">utils_get_median</a></div><div class="ttdeci">double utils_get_median(vector_t arr[], uint8_t length)</div><div class="ttdoc">Compute the median of a finite array of numbers.</div><div class="ttdef"><b>Definition:</b> <a href="utils_8c_source.html#l00152">utils.c:152</a></div></div>
+<div class="ttc" id="autils_8h_html"><div class="ttname"><a href="utils_8h.html">utils.h</a></div><div class="ttdoc">Utilities for linear algebra.</div></div>
+<div class="ttc" id="autils_8c_html_a81dabd4841ab656130497f0600979850"><div class="ttname"><a href="utils_8c.html#a81dabd4841ab656130497f0600979850">utils_u8_min</a></div><div class="ttdeci">uint8_t utils_u8_min(uint8_t a, uint8_t b)</div><div class="ttdoc">Returns the smaller of two numbers from type uint8_t.</div><div class="ttdef"><b>Definition:</b> <a href="utils_8c_source.html#l00085">utils.c:85</a></div></div>
+<div class="ttc" id="amatrix_8h_html_ae71449b1cc6e6250b91f539153a7a0d3"><div class="ttname"><a href="matrix_8h.html#ae71449b1cc6e6250b91f539153a7a0d3">M_PI</a></div><div class="ttdeci">#define M_PI</div><div class="ttdef"><b>Definition:</b> <a href="matrix_8h_source.html#l00054">matrix.h:54</a></div></div>
+<div class="ttc" id="autils_8c_html_a535a04a4bff82c88599e4648dfa7cfe1"><div class="ttname"><a href="utils_8c.html#a535a04a4bff82c88599e4648dfa7cfe1">utils_moving_average</a></div><div class="ttdeci">void utils_moving_average(uint8_t arr_size, vector_t in_arr[], uint8_t window_size, vector_t out_arr[])</div><div class="ttdoc">Compute the moving average of a data set.</div><div class="ttdef"><b>Definition:</b> <a href="utils_8c_source.html#l00121">utils.c:121</a></div></div>
+<div class="ttc" id="autils_8c_html_ab734a543e5543adb2bd98e1bf279a23d"><div class="ttname"><a href="utils_8c.html#ab734a543e5543adb2bd98e1bf279a23d">utils_min</a></div><div class="ttdeci">double utils_min(double a, double b)</div><div class="ttdoc">Returns the smaller of two real numbers.</div><div class="ttdef"><b>Definition:</b> <a href="utils_8c_source.html#l00065">utils.c:65</a></div></div>
+<div class="ttc" id="autils_8c_html_a8cda5a6c15e99e2b76abfb04316301d8"><div class="ttname"><a href="utils_8c.html#a8cda5a6c15e99e2b76abfb04316301d8">utils_get_save_square_root</a></div><div class="ttdeci">double utils_get_save_square_root(double x, double y)</div><div class="ttdoc">sqrt(a^2 + b^2) without under/overflow.</div><div class="ttdef"><b>Definition:</b> <a href="utils_8c_source.html#l00168">utils.c:168</a></div></div>
+<div class="ttc" id="ashell__sort_8h_html"><div class="ttname"><a href="shell__sort_8h.html">shell_sort.h</a></div><div class="ttdoc">Implement the Shell sort algorithm.</div></div>
+<div class="ttc" id="autils_8c_html_acda1e3a1b76af6e0e57b507472986ad6"><div class="ttname"><a href="utils_8c.html#acda1e3a1b76af6e0e57b507472986ad6">utils_mean</a></div><div class="ttdeci">double utils_mean(uint8_t arr_size, vector_t in_arr[])</div><div class="ttdoc">Compute the mean value of a data set.</div><div class="ttdef"><b>Definition:</b> <a href="utils_8c_source.html#l00105">utils.c:105</a></div></div>
+<div class="ttc" id="autils_8c_html_a0ae8ea233ea6c519cd0434f8c5bde5e5"><div class="ttname"><a href="utils_8c.html#a0ae8ea233ea6c519cd0434f8c5bde5e5">utils_max</a></div><div class="ttdeci">double utils_max(double a, double b)</div><div class="ttdoc">Returns the greater of two real numbers.</div><div class="ttdef"><b>Definition:</b> <a href="utils_8c_source.html#l00055">utils.c:55</a></div></div>
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+<a href="#define-members">Macros</a> |
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+<div class="title">utils.h File Reference<div class="ingroups"><a class="el" href="group__linear__algebra.html">LINEAR_ALGEBRA</a> » <a class="el" href="group__utilities.html">UTILITIES</a></div></div> </div>
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+<div class="contents">
+
+<p>Utilities for linear algebra.
+<a href="#details">More...</a></p>
+<div class="textblock"><code>#include <inttypes.h></code><br />
+<code>#include "<a class="el" href="vector_8h_source.html">vector.h</a>"</code><br />
+</div>
+<p><a href="utils_8h_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="define-members"></a>
+Macros</h2></td></tr>
+<tr class="memitem:ae71449b1cc6e6250b91f539153a7a0d3"><td class="memItemLeft" align="right" valign="top"><a id="ae71449b1cc6e6250b91f539153a7a0d3"></a>
+#define </td><td class="memItemRight" valign="bottom"><a class="el" href="utils_8h.html#ae71449b1cc6e6250b91f539153a7a0d3">M_PI</a>   3.14159265358979323846</td></tr>
+<tr class="memdesc:ae71449b1cc6e6250b91f539153a7a0d3"><td class="mdescLeft"> </td><td class="mdescRight">Define the pi-constant. <br /></td></tr>
+<tr class="separator:ae71449b1cc6e6250b91f539153a7a0d3"><td class="memSeparator" colspan="2"> </td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a689d2d3db40d341609423404abc5a23a"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="utils_8h.html#a689d2d3db40d341609423404abc5a23a">utils_to_radian</a> (double deg_angle)</td></tr>
+<tr class="memdesc:a689d2d3db40d341609423404abc5a23a"><td class="mdescLeft"> </td><td class="mdescRight">Convert the angle from degrees to radians. <a href="utils_8h.html#a689d2d3db40d341609423404abc5a23a">More...</a><br /></td></tr>
+<tr class="separator:a689d2d3db40d341609423404abc5a23a"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:aad6440ba12fa7e2e1fae5ba6dc99cabf"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="utils_8h.html#aad6440ba12fa7e2e1fae5ba6dc99cabf">utils_sind</a> (double deg_angle)</td></tr>
+<tr class="memdesc:aad6440ba12fa7e2e1fae5ba6dc99cabf"><td class="mdescLeft"> </td><td class="mdescRight">Compute the sine of a variable in degrees. <a href="utils_8h.html#aad6440ba12fa7e2e1fae5ba6dc99cabf">More...</a><br /></td></tr>
+<tr class="separator:aad6440ba12fa7e2e1fae5ba6dc99cabf"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:ad21f654c48115ba2419ca98644a44ae9"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="utils_8h.html#ad21f654c48115ba2419ca98644a44ae9">utils_swap</a> (uint8_t *a, uint8_t *b)</td></tr>
+<tr class="memdesc:ad21f654c48115ba2419ca98644a44ae9"><td class="mdescLeft"> </td><td class="mdescRight">Interchange the values of two variables of type uint8_t. <a href="utils_8h.html#ad21f654c48115ba2419ca98644a44ae9">More...</a><br /></td></tr>
+<tr class="separator:ad21f654c48115ba2419ca98644a44ae9"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a0ae8ea233ea6c519cd0434f8c5bde5e5"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="utils_8h.html#a0ae8ea233ea6c519cd0434f8c5bde5e5">utils_max</a> (double a, double b)</td></tr>
+<tr class="memdesc:a0ae8ea233ea6c519cd0434f8c5bde5e5"><td class="mdescLeft"> </td><td class="mdescRight">Returns the greater of two real numbers. <a href="utils_8h.html#a0ae8ea233ea6c519cd0434f8c5bde5e5">More...</a><br /></td></tr>
+<tr class="separator:a0ae8ea233ea6c519cd0434f8c5bde5e5"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:ab734a543e5543adb2bd98e1bf279a23d"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="utils_8h.html#ab734a543e5543adb2bd98e1bf279a23d">utils_min</a> (double a, double b)</td></tr>
+<tr class="memdesc:ab734a543e5543adb2bd98e1bf279a23d"><td class="mdescLeft"> </td><td class="mdescRight">Returns the smaller of two real numbers. <a href="utils_8h.html#ab734a543e5543adb2bd98e1bf279a23d">More...</a><br /></td></tr>
+<tr class="separator:ab734a543e5543adb2bd98e1bf279a23d"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a8163bb6a1c9742b9607fd87c6b3df5c5"><td class="memItemLeft" align="right" valign="top">uint8_t </td><td class="memItemRight" valign="bottom"><a class="el" href="utils_8h.html#a8163bb6a1c9742b9607fd87c6b3df5c5">utils_u8_max</a> (uint8_t a, uint8_t b)</td></tr>
+<tr class="memdesc:a8163bb6a1c9742b9607fd87c6b3df5c5"><td class="mdescLeft"> </td><td class="mdescRight">Returns the greater of two numbers from type uint8_t. <a href="utils_8h.html#a8163bb6a1c9742b9607fd87c6b3df5c5">More...</a><br /></td></tr>
+<tr class="separator:a8163bb6a1c9742b9607fd87c6b3df5c5"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a81dabd4841ab656130497f0600979850"><td class="memItemLeft" align="right" valign="top">uint8_t </td><td class="memItemRight" valign="bottom"><a class="el" href="utils_8h.html#a81dabd4841ab656130497f0600979850">utils_u8_min</a> (uint8_t a, uint8_t b)</td></tr>
+<tr class="memdesc:a81dabd4841ab656130497f0600979850"><td class="mdescLeft"> </td><td class="mdescRight">Returns the smaller of two numbers from type uint8_t. <a href="utils_8h.html#a81dabd4841ab656130497f0600979850">More...</a><br /></td></tr>
+<tr class="separator:a81dabd4841ab656130497f0600979850"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a335d8d6c4b945638261228cd116cccd6"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="utils_8h.html#a335d8d6c4b945638261228cd116cccd6">utils_printf</a> (char *format_str,...)</td></tr>
+<tr class="memdesc:a335d8d6c4b945638261228cd116cccd6"><td class="mdescLeft"> </td><td class="mdescRight">Print by using variable format string as well as argument lists. <a href="utils_8h.html#a335d8d6c4b945638261228cd116cccd6">More...</a><br /></td></tr>
+<tr class="separator:a335d8d6c4b945638261228cd116cccd6"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:acda1e3a1b76af6e0e57b507472986ad6"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="utils_8h.html#acda1e3a1b76af6e0e57b507472986ad6">utils_mean</a> (uint8_t arr_size, <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> in_arr[])</td></tr>
+<tr class="memdesc:acda1e3a1b76af6e0e57b507472986ad6"><td class="mdescLeft"> </td><td class="mdescRight">Compute the mean value of a data set. <a href="utils_8h.html#acda1e3a1b76af6e0e57b507472986ad6">More...</a><br /></td></tr>
+<tr class="separator:acda1e3a1b76af6e0e57b507472986ad6"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a535a04a4bff82c88599e4648dfa7cfe1"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="utils_8h.html#a535a04a4bff82c88599e4648dfa7cfe1">utils_moving_average</a> (uint8_t arr_size, <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> in_arr[], uint8_t window_size, <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> out_arr[])</td></tr>
+<tr class="memdesc:a535a04a4bff82c88599e4648dfa7cfe1"><td class="mdescLeft"> </td><td class="mdescRight">Compute the moving average of a data set. <a href="utils_8h.html#a535a04a4bff82c88599e4648dfa7cfe1">More...</a><br /></td></tr>
+<tr class="separator:a535a04a4bff82c88599e4648dfa7cfe1"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a971d455baef2d25c61e94c4bc4ac13ee"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="utils_8h.html#a971d455baef2d25c61e94c4bc4ac13ee">utils_get_median</a> (<a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> arr[], uint8_t length)</td></tr>
+<tr class="memdesc:a971d455baef2d25c61e94c4bc4ac13ee"><td class="mdescLeft"> </td><td class="mdescRight">Compute the median of a finite array of numbers. <a href="utils_8h.html#a971d455baef2d25c61e94c4bc4ac13ee">More...</a><br /></td></tr>
+<tr class="separator:a971d455baef2d25c61e94c4bc4ac13ee"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a8cda5a6c15e99e2b76abfb04316301d8"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="utils_8h.html#a8cda5a6c15e99e2b76abfb04316301d8">utils_get_save_square_root</a> (double x, double y)</td></tr>
+<tr class="memdesc:a8cda5a6c15e99e2b76abfb04316301d8"><td class="mdescLeft"> </td><td class="mdescRight">Compute the square root without under/overflow. <a href="utils_8h.html#a8cda5a6c15e99e2b76abfb04316301d8">More...</a><br /></td></tr>
+<tr class="separator:a8cda5a6c15e99e2b76abfb04316301d8"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Utilities for linear algebra. </p>
+<p>Utility-functions are needed by linear algebra-module as well as other modules such as the position algorithm-module.</p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="utils_8h_source.html">utils.h</a>.</p>
+</div><h2 class="groupheader">Function Documentation</h2>
+<a id="a971d455baef2d25c61e94c4bc4ac13ee"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a971d455baef2d25c61e94c4bc4ac13ee">◆ </a></span>utils_get_median()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">double utils_get_median </td>
+ <td>(</td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>arr</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>length</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute the median of a finite array of numbers. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">arr[]</td><td>pointer to the data set. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">length</td><td>size of the data set.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the median value of the data set. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="utils_8c_source.html#l00152">152</a> of file <a class="el" href="utils_8c_source.html">utils.c</a>.</p>
+
+<p class="reference">References <a class="el" href="shell__sort_8c_source.html#l00049">shell_sort()</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="utils__test_8c_source.html#l00028">utils_test()</a>.</p>
+
+</div>
+</div>
+<a id="a8cda5a6c15e99e2b76abfb04316301d8"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a8cda5a6c15e99e2b76abfb04316301d8">◆ </a></span>utils_get_save_square_root()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">double utils_get_save_square_root </td>
+ <td>(</td>
+ <td class="paramtype">double </td>
+ <td class="paramname"><em>x</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">double </td>
+ <td class="paramname"><em>y</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute the square root without under/overflow. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">x</td><td>first value. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">y</td><td>second value.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>save square root.</dd></dl>
+<p>Compute the square root without under/overflow. </p>
+
+<p class="definition">Definition at line <a class="el" href="utils_8c_source.html#l00168">168</a> of file <a class="el" href="utils_8c_source.html">utils.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="qr__householder_8c_source.html#l00033">qr_householder_decomp()</a>.</p>
+
+</div>
+</div>
+<a id="a0ae8ea233ea6c519cd0434f8c5bde5e5"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a0ae8ea233ea6c519cd0434f8c5bde5e5">◆ </a></span>utils_max()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">double utils_max </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>b</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Returns the greater of two real numbers. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">a</td><td>the first value to compare. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">b</td><td>the second value to compare.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the greater of a and b. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="utils_8c_source.html#l00055">55</a> of file <a class="el" href="utils_8c_source.html">utils.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="loc__gauss__newton_8c_source.html#l00030">loc_gauss_newton()</a>, <a class="el" href="modified__gauss__newton_8c_source.html#l00032">modified_gauss_newton()</a>, and <a class="el" href="utils__test_8c_source.html#l00028">utils_test()</a>.</p>
+
+</div>
+</div>
+<a id="acda1e3a1b76af6e0e57b507472986ad6"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#acda1e3a1b76af6e0e57b507472986ad6">◆ </a></span>utils_mean()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">double utils_mean </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>arr_size</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>in_arr</em>[] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute the mean value of a data set. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">arr_size</td><td>size of the data set. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">in_arr[]</td><td>pointer to the data set.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the mean value of the data set. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="utils_8c_source.html#l00105">105</a> of file <a class="el" href="utils_8c_source.html">utils.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="utils__test_8c_source.html#l00028">utils_test()</a>.</p>
+
+</div>
+</div>
+<a id="ab734a543e5543adb2bd98e1bf279a23d"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#ab734a543e5543adb2bd98e1bf279a23d">◆ </a></span>utils_min()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">double utils_min </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>b</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Returns the smaller of two real numbers. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">a</td><td>the first value to compare. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">b</td><td>the second value to compare.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the smaller of a and b. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="utils_8c_source.html#l00065">65</a> of file <a class="el" href="utils_8c_source.html">utils.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="utils__test_8c_source.html#l00028">utils_test()</a>.</p>
+
+</div>
+</div>
+<a id="a535a04a4bff82c88599e4648dfa7cfe1"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a535a04a4bff82c88599e4648dfa7cfe1">◆ </a></span>utils_moving_average()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void utils_moving_average </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>arr_size</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>in_arr</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>window_size</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>out_arr</em>[] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute the moving average of a data set. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">arr_size</td><td>size of the data set. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">in_arr[]</td><td>pointer to the data set. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">window_size</td><td>window size. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">out_arr</td><td>pointer to the values of the moving average. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="utils_8c_source.html#l00121">121</a> of file <a class="el" href="utils_8c_source.html">utils.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="utils__test_8c_source.html#l00028">utils_test()</a>.</p>
+
+</div>
+</div>
+<a id="a335d8d6c4b945638261228cd116cccd6"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a335d8d6c4b945638261228cd116cccd6">◆ </a></span>utils_printf()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void utils_printf </td>
+ <td>(</td>
+ <td class="paramtype">char * </td>
+ <td class="paramname"><em>format_str</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"> </td>
+ <td class="paramname"><em>...</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Print by using variable format string as well as argument lists. </p>
+<p>This function enables to print data by using a variable format string as well as argument list. Furthermore, it avoids the error: "format not a string literal", if printf is used.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">*format_str</td><td>format string. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">...</td><td>argument list. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="utils_8c_source.html#l00096">96</a> of file <a class="el" href="utils_8c_source.html">utils.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="matrix_8c_source.html#l00247">matrix_flex_part_print()</a>, <a class="el" href="matrix_8c_source.html#l00220">matrix_flex_print()</a>, and <a class="el" href="vector_8c_source.html#l00284">vector_flex_print()</a>.</p>
+
+</div>
+</div>
+<a id="aad6440ba12fa7e2e1fae5ba6dc99cabf"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#aad6440ba12fa7e2e1fae5ba6dc99cabf">◆ </a></span>utils_sind()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">double utils_sind </td>
+ <td>(</td>
+ <td class="paramtype">double </td>
+ <td class="paramname"><em>deg_angle</em></td><td>)</td>
+ <td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute the sine of a variable in degrees. </p>
+<p>Calculate the sine of the variable deg_angle, which is expressed in degrees.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">deg_angle</td><td>angle in degrees.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>sine value. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="utils_8c_source.html#l00039">39</a> of file <a class="el" href="utils_8c_source.html">utils.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00054">M_PI</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="utils__test_8c_source.html#l00028">utils_test()</a>.</p>
+
+</div>
+</div>
+<a id="ad21f654c48115ba2419ca98644a44ae9"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#ad21f654c48115ba2419ca98644a44ae9">◆ </a></span>utils_swap()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void utils_swap </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t * </td>
+ <td class="paramname"><em>a</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t * </td>
+ <td class="paramname"><em>b</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Interchange the values of two variables of type uint8_t. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">*a</td><td>pointer to first variable. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">*b</td><td>pointer to second variable. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="utils_8c_source.html#l00046">46</a> of file <a class="el" href="utils_8c_source.html">utils.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="utils__test_8c_source.html#l00028">utils_test()</a>.</p>
+
+</div>
+</div>
+<a id="a689d2d3db40d341609423404abc5a23a"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a689d2d3db40d341609423404abc5a23a">◆ </a></span>utils_to_radian()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">double utils_to_radian </td>
+ <td>(</td>
+ <td class="paramtype">double </td>
+ <td class="paramname"><em>deg_angle</em></td><td>)</td>
+ <td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Convert the angle from degrees to radians. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">deg_angle</td><td>angle in degrees.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>angle in radians. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="utils_8c_source.html#l00031">31</a> of file <a class="el" href="utils_8c_source.html">utils.c</a>.</p>
+
+<p class="reference">References <a class="el" href="matrix_8h_source.html#l00054">M_PI</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="magnetic__based__test_8c_source.html#l00034">magnetic_based_test()</a>, and <a class="el" href="utils__test_8c_source.html#l00028">utils_test()</a>.</p>
+
+</div>
+</div>
+<a id="a8163bb6a1c9742b9607fd87c6b3df5c5"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a8163bb6a1c9742b9607fd87c6b3df5c5">◆ </a></span>utils_u8_max()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">uint8_t utils_u8_max </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>a</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>b</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Returns the greater of two numbers from type uint8_t. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">a</td><td>the first value to compare. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">b</td><td>the second value to compare.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the greater of a and b. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="utils_8c_source.html#l00075">75</a> of file <a class="el" href="utils_8c_source.html">utils.c</a>.</p>
+
+</div>
+</div>
+<a id="a81dabd4841ab656130497f0600979850"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a81dabd4841ab656130497f0600979850">◆ </a></span>utils_u8_min()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">uint8_t utils_u8_min </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>a</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>b</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Returns the smaller of two numbers from type uint8_t. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">a</td><td>the first value to compare. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">b</td><td>the second value to compare.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the smaller of a and b. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="utils_8c_source.html#l00085">85</a> of file <a class="el" href="utils_8c_source.html">utils.c</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="navelem"><a class="el" href="dir_8c4128baa09a573ad2b8b8c0061a04c9.html">linear_algebra</a></li><li class="navelem"><a class="el" href="dir_08749d3fb0d5743bfaf3c7bce248dc40.html">utilities</a></li><li class="navelem"><a class="el" href="dir_d5f52845b1ed776b4ff9f3c6f4225d4b.html">include</a></li><li class="navelem"><a class="el" href="utils_8h.html">utils.h</a></li>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
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+var utils_8h =
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+ [ "M_PI", "utils_8h.html#ae71449b1cc6e6250b91f539153a7a0d3", null ],
+ [ "utils_get_median", "utils_8h.html#a971d455baef2d25c61e94c4bc4ac13ee", null ],
+ [ "utils_get_save_square_root", "utils_8h.html#a8cda5a6c15e99e2b76abfb04316301d8", null ],
+ [ "utils_max", "utils_8h.html#a0ae8ea233ea6c519cd0434f8c5bde5e5", null ],
+ [ "utils_mean", "utils_8h.html#acda1e3a1b76af6e0e57b507472986ad6", null ],
+ [ "utils_min", "utils_8h.html#ab734a543e5543adb2bd98e1bf279a23d", null ],
+ [ "utils_moving_average", "utils_8h.html#a535a04a4bff82c88599e4648dfa7cfe1", null ],
+ [ "utils_printf", "utils_8h.html#a335d8d6c4b945638261228cd116cccd6", null ],
+ [ "utils_sind", "utils_8h.html#aad6440ba12fa7e2e1fae5ba6dc99cabf", null ],
+ [ "utils_swap", "utils_8h.html#ad21f654c48115ba2419ca98644a44ae9", null ],
+ [ "utils_to_radian", "utils_8h.html#a689d2d3db40d341609423404abc5a23a", null ],
+ [ "utils_u8_max", "utils_8h.html#a8163bb6a1c9742b9607fd87c6b3df5c5", null ],
+ [ "utils_u8_min", "utils_8h.html#a81dabd4841ab656130497f0600979850", null ]
+];
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+<title>RcdMathLib_doc: utils.h Source File</title>
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+ <div id="projectname">RcdMathLib_doc
+ </div>
+ <div id="projectbrief">Open Source Library for Linear and Non-linear Algebra</div>
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+<div class="header">
+ <div class="headertitle">
+<div class="title">utils.h</div> </div>
+</div><!--header-->
+<div class="contents">
+<a href="utils_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="preprocessor">#ifndef UTILS_H_</span></div>
+<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#define UTILS_H_</span></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="preprocessor">#include <inttypes.h></span></div>
+<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="preprocessor">#include "<a class="code" href="vector_8h.html">vector.h</a>"</span></div>
+<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>  </div>
+<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="preprocessor">#ifndef M_PI</span></div>
+<div class="line"><a name="l00032"></a><span class="lineno"><a class="line" href="utils_8h.html#ae71449b1cc6e6250b91f539153a7a0d3"> 32</a></span> <span class="preprocessor">#define M_PI 3.14159265358979323846</span></div>
+<div class="line"><a name="l00033"></a><span class="lineno"> 33</span> <span class="preprocessor">#endif</span></div>
+<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  </div>
+<div class="line"><a name="l00043"></a><span class="lineno"> 43</span> <span class="keywordtype">double</span> <a class="code" href="utils_8h.html#a689d2d3db40d341609423404abc5a23a">utils_to_radian</a>(<span class="keywordtype">double</span> deg_angle);</div>
+<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  </div>
+<div class="line"><a name="l00055"></a><span class="lineno"> 55</span> <span class="keywordtype">double</span> <a class="code" href="utils_8h.html#aad6440ba12fa7e2e1fae5ba6dc99cabf">utils_sind</a>(<span class="keywordtype">double</span> deg_angle);</div>
+<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  </div>
+<div class="line"><a name="l00064"></a><span class="lineno"> 64</span> <span class="keywordtype">void</span> <a class="code" href="utils_8h.html#ad21f654c48115ba2419ca98644a44ae9">utils_swap</a>(uint8_t *a, uint8_t *b);</div>
+<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  </div>
+<div class="line"><a name="l00075"></a><span class="lineno"> 75</span> <span class="keywordtype">double</span> <a class="code" href="utils_8h.html#a0ae8ea233ea6c519cd0434f8c5bde5e5">utils_max</a>(<span class="keywordtype">double</span> a, <span class="keywordtype">double</span> b);</div>
+<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  </div>
+<div class="line"><a name="l00087"></a><span class="lineno"> 87</span> <span class="keywordtype">double</span> <a class="code" href="utils_8h.html#ab734a543e5543adb2bd98e1bf279a23d">utils_min</a>(<span class="keywordtype">double</span> a, <span class="keywordtype">double</span> b);</div>
+<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  </div>
+<div class="line"><a name="l00098"></a><span class="lineno"> 98</span> uint8_t <a class="code" href="utils_8h.html#a8163bb6a1c9742b9607fd87c6b3df5c5">utils_u8_max</a>(uint8_t a, uint8_t b);</div>
+<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  </div>
+<div class="line"><a name="l00109"></a><span class="lineno"> 109</span> uint8_t <a class="code" href="utils_8h.html#a81dabd4841ab656130497f0600979850">utils_u8_min</a>(uint8_t a, uint8_t b);</div>
+<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  </div>
+<div class="line"><a name="l00111"></a><span class="lineno"> 111</span> <span class="comment">// Enables to use variable format string as well as argument lists</span></div>
+<div class="line"><a name="l00112"></a><span class="lineno"> 112</span> <span class="comment">// Fixing error: format not a string literal.</span></div>
+<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  </div>
+<div class="line"><a name="l00124"></a><span class="lineno"> 124</span> <span class="keywordtype">void</span> <a class="code" href="utils_8h.html#a335d8d6c4b945638261228cd116cccd6">utils_printf</a>(<span class="keywordtype">char</span> *format_str, ...);</div>
+<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  </div>
+<div class="line"><a name="l00135"></a><span class="lineno"> 135</span> <span class="keywordtype">double</span> <a class="code" href="utils_8h.html#acda1e3a1b76af6e0e57b507472986ad6">utils_mean</a>(uint8_t arr_size, <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> in_arr[]);</div>
+<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  </div>
+<div class="line"><a name="l00146"></a><span class="lineno"> 146</span> <span class="keywordtype">void</span> <a class="code" href="utils_8h.html#a535a04a4bff82c88599e4648dfa7cfe1">utils_moving_average</a>(uint8_t arr_size, <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> in_arr[],</div>
+<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>  uint8_t window_size,</div>
+<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> out_arr[]);</div>
+<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  </div>
+<div class="line"><a name="l00159"></a><span class="lineno"> 159</span> <span class="keywordtype">double</span> <a class="code" href="utils_8h.html#a971d455baef2d25c61e94c4bc4ac13ee">utils_get_median</a>(<a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> arr[], uint8_t length);</div>
+<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  </div>
+<div class="line"><a name="l00170"></a><span class="lineno"> 170</span> <span class="keywordtype">double</span> <a class="code" href="utils_8h.html#a8cda5a6c15e99e2b76abfb04316301d8">utils_get_save_square_root</a>(<span class="keywordtype">double</span> x, <span class="keywordtype">double</span> y);</div>
+<div class="line"><a name="l00171"></a><span class="lineno"> 171</span>  </div>
+<div class="line"><a name="l00172"></a><span class="lineno"> 172</span> <span class="preprocessor">#endif </span><span class="comment">/* UTILS_H_ */</span><span class="preprocessor"></span></div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="autils_8h_html_a689d2d3db40d341609423404abc5a23a"><div class="ttname"><a href="utils_8h.html#a689d2d3db40d341609423404abc5a23a">utils_to_radian</a></div><div class="ttdeci">double utils_to_radian(double deg_angle)</div><div class="ttdoc">Convert the angle from degrees to radians.</div><div class="ttdef"><b>Definition:</b> <a href="utils_8c_source.html#l00031">utils.c:31</a></div></div>
+<div class="ttc" id="autils_8h_html_a81dabd4841ab656130497f0600979850"><div class="ttname"><a href="utils_8h.html#a81dabd4841ab656130497f0600979850">utils_u8_min</a></div><div class="ttdeci">uint8_t utils_u8_min(uint8_t a, uint8_t b)</div><div class="ttdoc">Returns the smaller of two numbers from type uint8_t.</div><div class="ttdef"><b>Definition:</b> <a href="utils_8c_source.html#l00085">utils.c:85</a></div></div>
+<div class="ttc" id="avector_8h_html_acb41430bc5720dda7d1c45d91a0b0221"><div class="ttname"><a href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a></div><div class="ttdeci">#define vector_t</div><div class="ttdoc">Define the data type of the vector elements.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8h_source.html#l00033">vector.h:33</a></div></div>
+<div class="ttc" id="autils_8h_html_ab734a543e5543adb2bd98e1bf279a23d"><div class="ttname"><a href="utils_8h.html#ab734a543e5543adb2bd98e1bf279a23d">utils_min</a></div><div class="ttdeci">double utils_min(double a, double b)</div><div class="ttdoc">Returns the smaller of two real numbers.</div><div class="ttdef"><b>Definition:</b> <a href="utils_8c_source.html#l00065">utils.c:65</a></div></div>
+<div class="ttc" id="autils_8h_html_a8163bb6a1c9742b9607fd87c6b3df5c5"><div class="ttname"><a href="utils_8h.html#a8163bb6a1c9742b9607fd87c6b3df5c5">utils_u8_max</a></div><div class="ttdeci">uint8_t utils_u8_max(uint8_t a, uint8_t b)</div><div class="ttdoc">Returns the greater of two numbers from type uint8_t.</div><div class="ttdef"><b>Definition:</b> <a href="utils_8c_source.html#l00075">utils.c:75</a></div></div>
+<div class="ttc" id="autils_8h_html_a0ae8ea233ea6c519cd0434f8c5bde5e5"><div class="ttname"><a href="utils_8h.html#a0ae8ea233ea6c519cd0434f8c5bde5e5">utils_max</a></div><div class="ttdeci">double utils_max(double a, double b)</div><div class="ttdoc">Returns the greater of two real numbers.</div><div class="ttdef"><b>Definition:</b> <a href="utils_8c_source.html#l00055">utils.c:55</a></div></div>
+<div class="ttc" id="autils_8h_html_a335d8d6c4b945638261228cd116cccd6"><div class="ttname"><a href="utils_8h.html#a335d8d6c4b945638261228cd116cccd6">utils_printf</a></div><div class="ttdeci">void utils_printf(char *format_str,...)</div><div class="ttdoc">Print by using variable format string as well as argument lists.</div><div class="ttdef"><b>Definition:</b> <a href="utils_8c_source.html#l00096">utils.c:96</a></div></div>
+<div class="ttc" id="autils_8h_html_aad6440ba12fa7e2e1fae5ba6dc99cabf"><div class="ttname"><a href="utils_8h.html#aad6440ba12fa7e2e1fae5ba6dc99cabf">utils_sind</a></div><div class="ttdeci">double utils_sind(double deg_angle)</div><div class="ttdoc">Compute the sine of a variable in degrees.</div><div class="ttdef"><b>Definition:</b> <a href="utils_8c_source.html#l00039">utils.c:39</a></div></div>
+<div class="ttc" id="autils_8h_html_acda1e3a1b76af6e0e57b507472986ad6"><div class="ttname"><a href="utils_8h.html#acda1e3a1b76af6e0e57b507472986ad6">utils_mean</a></div><div class="ttdeci">double utils_mean(uint8_t arr_size, vector_t in_arr[])</div><div class="ttdoc">Compute the mean value of a data set.</div><div class="ttdef"><b>Definition:</b> <a href="utils_8c_source.html#l00105">utils.c:105</a></div></div>
+<div class="ttc" id="autils_8h_html_a971d455baef2d25c61e94c4bc4ac13ee"><div class="ttname"><a href="utils_8h.html#a971d455baef2d25c61e94c4bc4ac13ee">utils_get_median</a></div><div class="ttdeci">double utils_get_median(vector_t arr[], uint8_t length)</div><div class="ttdoc">Compute the median of a finite array of numbers.</div><div class="ttdef"><b>Definition:</b> <a href="utils_8c_source.html#l00152">utils.c:152</a></div></div>
+<div class="ttc" id="avector_8h_html"><div class="ttname"><a href="vector_8h.html">vector.h</a></div><div class="ttdoc">Vector computations.</div></div>
+<div class="ttc" id="autils_8h_html_ad21f654c48115ba2419ca98644a44ae9"><div class="ttname"><a href="utils_8h.html#ad21f654c48115ba2419ca98644a44ae9">utils_swap</a></div><div class="ttdeci">void utils_swap(uint8_t *a, uint8_t *b)</div><div class="ttdoc">Interchange the values of two variables of type uint8_t.</div><div class="ttdef"><b>Definition:</b> <a href="utils_8c_source.html#l00046">utils.c:46</a></div></div>
+<div class="ttc" id="autils_8h_html_a535a04a4bff82c88599e4648dfa7cfe1"><div class="ttname"><a href="utils_8h.html#a535a04a4bff82c88599e4648dfa7cfe1">utils_moving_average</a></div><div class="ttdeci">void utils_moving_average(uint8_t arr_size, vector_t in_arr[], uint8_t window_size, vector_t out_arr[])</div><div class="ttdoc">Compute the moving average of a data set.</div><div class="ttdef"><b>Definition:</b> <a href="utils_8c_source.html#l00121">utils.c:121</a></div></div>
+<div class="ttc" id="autils_8h_html_a8cda5a6c15e99e2b76abfb04316301d8"><div class="ttname"><a href="utils_8h.html#a8cda5a6c15e99e2b76abfb04316301d8">utils_get_save_square_root</a></div><div class="ttdeci">double utils_get_save_square_root(double x, double y)</div><div class="ttdoc">Compute the square root without under/overflow.</div><div class="ttdef"><b>Definition:</b> <a href="utils_8c_source.html#l00168">utils.c:168</a></div></div>
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+ <div id="projectname">RcdMathLib_doc
+ </div>
+ <div id="projectbrief">Open Source Library for Linear and Non-linear Algebra</div>
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+/* @license-end */
+</script>
+<div id="doc-content">
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
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+<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">utils_test.c File Reference</div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Examples of the utility functions.
+<a href="#details">More...</a></p>
+<div class="textblock"><code>#include <stdio.h></code><br />
+<code>#include "<a class="el" href="utils_8h_source.html">utils.h</a>"</code><br />
+<code>#include "<a class="el" href="vector_8h_source.html">vector.h</a>"</code><br />
+</div>
+<p><a href="utils__test_8c_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a91c61f3d2a5985466b46f5b15ad0faf7"><td class="memItemLeft" align="right" valign="top"><a id="a91c61f3d2a5985466b46f5b15ad0faf7"></a>
+void </td><td class="memItemRight" valign="bottom"><a class="el" href="utils__test_8c.html#a91c61f3d2a5985466b46f5b15ad0faf7">utils_test</a> (void)</td></tr>
+<tr class="memdesc:a91c61f3d2a5985466b46f5b15ad0faf7"><td class="mdescLeft"> </td><td class="mdescRight">Examples of the utility functions. <br /></td></tr>
+<tr class="separator:a91c61f3d2a5985466b46f5b15ad0faf7"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Examples of the utility functions. </p>
+<p>Utility examples (see <a class="el" href="utils_8h.html">utilities</a> functions).</p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="utils__test_8c_source.html">utils_test.c</a>.</p>
+</div></div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="navelem"><a class="el" href="dir_d28a4824dc47e487b107a5db32ef43c4.html">examples</a></li><li class="navelem"><a class="el" href="dir_bb878afedbb83074fe4b7f6b65e06747.html">linear_algebra</a></li><li class="navelem"><a class="el" href="dir_8e5c3f26a7da9560da5fd7be1ee471fe.html">utilities</a></li><li class="navelem"><a class="el" href="utils__test_8c.html">utils_test.c</a></li>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
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diff --git a/doc/doxygen/html/utils__test_8c.js b/doc/doxygen/html/utils__test_8c.js
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+ [ "utils_test", "utils__test_8c.html#a91c61f3d2a5985466b46f5b15ad0faf7", null ]
+];
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+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "https://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
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+ <div id="projectname">RcdMathLib_doc
+ </div>
+ <div id="projectbrief">Open Source Library for Linear and Non-linear Algebra</div>
+ </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.16 -->
+<script type="text/javascript">
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+/* @license-end */
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+<div id="doc-content">
+<!-- window showing the filter options -->
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+ onmouseover="return searchBox.OnSearchSelectShow()"
+ onmouseout="return searchBox.OnSearchSelectHide()"
+ onkeydown="return searchBox.OnSearchSelectKey(event)">
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+ name="MSearchResults" id="MSearchResults">
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+<div class="header">
+ <div class="headertitle">
+<div class="title">utils_test.c</div> </div>
+</div><!--header-->
+<div class="contents">
+<a href="utils__test_8c.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="preprocessor">#include <stdio.h></span></div>
+<div class="line"><a name="l00024"></a><span class="lineno"> 24</span>  </div>
+<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#include "<a class="code" href="utils_8h.html">utils.h</a>"</span></div>
+<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="preprocessor">#include "<a class="code" href="vector_8h.html">vector.h</a>"</span></div>
+<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>  </div>
+<div class="line"><a name="l00028"></a><span class="lineno"><a class="line" href="utils__test_8c.html#a91c61f3d2a5985466b46f5b15ad0faf7"> 28</a></span> <span class="keywordtype">void</span> <a class="code" href="utils__test_8c.html#a91c61f3d2a5985466b46f5b15ad0faf7">utils_test</a>(<span class="keywordtype">void</span>)</div>
+<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> {</div>
+<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>  puts(<span class="stringliteral">"############ Test Utils ###############"</span>);</div>
+<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  <span class="keywordtype">double</span> deg_ang = 45;</div>
+<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>  <span class="keywordtype">double</span> rad_ang = <a class="code" href="utils_8h.html#a689d2d3db40d341609423404abc5a23a">utils_to_radian</a>(deg_ang);</div>
+<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>  printf(<span class="stringliteral">"rad_ang = %.4f\n"</span>, rad_ang);</div>
+<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  </div>
+<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  <span class="keywordtype">float</span> f1 = 4.78;</div>
+<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  <span class="keywordtype">float</span> f2 = 11.77;</div>
+<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  <span class="keywordtype">float</span> f_max = (float)<a class="code" href="utils_8h.html#a0ae8ea233ea6c519cd0434f8c5bde5e5">utils_max</a>(f1, f2);</div>
+<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  printf(<span class="stringliteral">"f_max = %.4f\n"</span>, f_max);</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>  <span class="keywordtype">float</span> f_min = (float)<a class="code" href="utils_8h.html#ab734a543e5543adb2bd98e1bf279a23d">utils_min</a>(f1, f2);</div>
+<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  printf(<span class="stringliteral">"f_min = %.4f\n"</span>, f_min);</div>
+<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  </div>
+<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  uint8_t a1 = 9;</div>
+<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  uint8_t b1 = 13;</div>
+<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  <a class="code" href="utils_8h.html#ad21f654c48115ba2419ca98644a44ae9">utils_swap</a>(&a1, &b1);</div>
+<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  printf(<span class="stringliteral">"a1 = %u, b1 = %u\n"</span>, a1, b1);</div>
+<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  </div>
+<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  printf(<span class="stringliteral">"sind(45) = %.4f\n"</span>, <a class="code" href="utils_8h.html#aad6440ba12fa7e2e1fae5ba6dc99cabf">utils_sind</a>(deg_ang));</div>
+<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  </div>
+<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> arr[10] = { 4, 8, 6, -1, -2, -3, -1, 3, 4, 5 };</div>
+<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> mv_aver_arr[10];</div>
+<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  uint8_t win_size = 5;</div>
+<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  <span class="keywordtype">double</span> mean = 0.0;</div>
+<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  </div>
+<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  printf(<span class="stringliteral">"arr = "</span>);</div>
+<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  <a class="code" href="vector_8h.html#ab2827264910e858f238868695a92db4b">vector_flex_print</a>(10, arr, 3, 0);</div>
+<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  printf(<span class="stringliteral">"win_size = %u\n"</span>, win_size);</div>
+<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  <a class="code" href="utils_8h.html#a535a04a4bff82c88599e4648dfa7cfe1">utils_moving_average</a>(10, arr, win_size, mv_aver_arr);</div>
+<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  printf(<span class="stringliteral">"mv_av_arr = "</span>);</div>
+<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  <a class="code" href="vector_8h.html#ab2827264910e858f238868695a92db4b">vector_flex_print</a>(10, mv_aver_arr, 3, 4);</div>
+<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  mean = <a class="code" href="utils_8h.html#acda1e3a1b76af6e0e57b507472986ad6">utils_mean</a>(10, arr);</div>
+<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  printf(<span class="stringliteral">"mean = %3.4f\n"</span>, mean);</div>
+<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  </div>
+<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  puts(<span class="stringliteral">"!!! Median algorithm !!!"</span>);</div>
+<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> arr1[9] = { 100, 91, 92, 85, 40, 77, 92, 91, 94 };</div>
+<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> median_val = 0.0;</div>
+<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  </div>
+<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  printf(<span class="stringliteral">"arr1 = "</span>);</div>
+<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  <a class="code" href="vector_8h.html#ab2827264910e858f238868695a92db4b">vector_flex_print</a>(9, arr1, 3, 0);</div>
+<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  median_val = <a class="code" href="utils_8h.html#a971d455baef2d25c61e94c4bc4ac13ee">utils_get_median</a>(arr1, 9);</div>
+<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  printf(<span class="stringliteral">"median1 = %3.4f\n"</span>, median_val);</div>
+<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  </div>
+<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> arr2[13] = { 0.4854, 0.8003, 0.1419, 0.4218, 0.9157, 0.7922,</div>
+<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  0.9595, 0.6557, 0.0357, 0.8491, 0.9340, 0.6787,</div>
+<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  0.7577 };</div>
+<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  printf(<span class="stringliteral">"arr2 = "</span>);</div>
+<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  <a class="code" href="vector_8h.html#ab2827264910e858f238868695a92db4b">vector_flex_print</a>(13, arr2, 3, 4);</div>
+<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  median_val = <a class="code" href="utils_8h.html#a971d455baef2d25c61e94c4bc4ac13ee">utils_get_median</a>(arr2, 13);</div>
+<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  printf(<span class="stringliteral">"median2 = %3.4f\n"</span>, median_val);</div>
+<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  </div>
+<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> arr3[12] = { 0.9502, 0.0344, -0.4387, 0.3816, 0.7655, 0.7952,</div>
+<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  0.1869, 0.4898, 0.4456, 0.6463, -0.7094, 0.7547 };</div>
+<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  printf(<span class="stringliteral">"arr3 = "</span>);</div>
+<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  <a class="code" href="vector_8h.html#ab2827264910e858f238868695a92db4b">vector_flex_print</a>(12, arr3, 3, 4);</div>
+<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  median_val = <a class="code" href="utils_8h.html#a971d455baef2d25c61e94c4bc4ac13ee">utils_get_median</a>(arr3, 12);</div>
+<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  printf(<span class="stringliteral">"median3 = %3.4f\n"</span>, median_val);</div>
+<div class="line"><a name="l00092"></a><span class="lineno"> 92</span> }</div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="avector_8h_html_ab2827264910e858f238868695a92db4b"><div class="ttname"><a href="vector_8h.html#ab2827264910e858f238868695a92db4b">vector_flex_print</a></div><div class="ttdeci">void vector_flex_print(uint32_t length, vector_t arr[], uint8_t before_dot, uint8_t after_dot)</div><div class="ttdoc">Display the values of the vector's elements.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00284">vector.c:284</a></div></div>
+<div class="ttc" id="autils_8h_html_a689d2d3db40d341609423404abc5a23a"><div class="ttname"><a href="utils_8h.html#a689d2d3db40d341609423404abc5a23a">utils_to_radian</a></div><div class="ttdeci">double utils_to_radian(double deg_angle)</div><div class="ttdoc">Convert the angle from degrees to radians.</div><div class="ttdef"><b>Definition:</b> <a href="utils_8c_source.html#l00031">utils.c:31</a></div></div>
+<div class="ttc" id="avector_8h_html_acb41430bc5720dda7d1c45d91a0b0221"><div class="ttname"><a href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a></div><div class="ttdeci">#define vector_t</div><div class="ttdoc">Define the data type of the vector elements.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8h_source.html#l00033">vector.h:33</a></div></div>
+<div class="ttc" id="autils_8h_html_ab734a543e5543adb2bd98e1bf279a23d"><div class="ttname"><a href="utils_8h.html#ab734a543e5543adb2bd98e1bf279a23d">utils_min</a></div><div class="ttdeci">double utils_min(double a, double b)</div><div class="ttdoc">Returns the smaller of two real numbers.</div><div class="ttdef"><b>Definition:</b> <a href="utils_8c_source.html#l00065">utils.c:65</a></div></div>
+<div class="ttc" id="autils_8h_html"><div class="ttname"><a href="utils_8h.html">utils.h</a></div><div class="ttdoc">Utilities for linear algebra.</div></div>
+<div class="ttc" id="autils_8h_html_a0ae8ea233ea6c519cd0434f8c5bde5e5"><div class="ttname"><a href="utils_8h.html#a0ae8ea233ea6c519cd0434f8c5bde5e5">utils_max</a></div><div class="ttdeci">double utils_max(double a, double b)</div><div class="ttdoc">Returns the greater of two real numbers.</div><div class="ttdef"><b>Definition:</b> <a href="utils_8c_source.html#l00055">utils.c:55</a></div></div>
+<div class="ttc" id="autils_8h_html_aad6440ba12fa7e2e1fae5ba6dc99cabf"><div class="ttname"><a href="utils_8h.html#aad6440ba12fa7e2e1fae5ba6dc99cabf">utils_sind</a></div><div class="ttdeci">double utils_sind(double deg_angle)</div><div class="ttdoc">Compute the sine of a variable in degrees.</div><div class="ttdef"><b>Definition:</b> <a href="utils_8c_source.html#l00039">utils.c:39</a></div></div>
+<div class="ttc" id="autils_8h_html_acda1e3a1b76af6e0e57b507472986ad6"><div class="ttname"><a href="utils_8h.html#acda1e3a1b76af6e0e57b507472986ad6">utils_mean</a></div><div class="ttdeci">double utils_mean(uint8_t arr_size, vector_t in_arr[])</div><div class="ttdoc">Compute the mean value of a data set.</div><div class="ttdef"><b>Definition:</b> <a href="utils_8c_source.html#l00105">utils.c:105</a></div></div>
+<div class="ttc" id="autils__test_8c_html_a91c61f3d2a5985466b46f5b15ad0faf7"><div class="ttname"><a href="utils__test_8c.html#a91c61f3d2a5985466b46f5b15ad0faf7">utils_test</a></div><div class="ttdeci">void utils_test(void)</div><div class="ttdoc">Examples of the utility functions.</div><div class="ttdef"><b>Definition:</b> <a href="utils__test_8c_source.html#l00028">utils_test.c:28</a></div></div>
+<div class="ttc" id="autils_8h_html_a971d455baef2d25c61e94c4bc4ac13ee"><div class="ttname"><a href="utils_8h.html#a971d455baef2d25c61e94c4bc4ac13ee">utils_get_median</a></div><div class="ttdeci">double utils_get_median(vector_t arr[], uint8_t length)</div><div class="ttdoc">Compute the median of a finite array of numbers.</div><div class="ttdef"><b>Definition:</b> <a href="utils_8c_source.html#l00152">utils.c:152</a></div></div>
+<div class="ttc" id="avector_8h_html"><div class="ttname"><a href="vector_8h.html">vector.h</a></div><div class="ttdoc">Vector computations.</div></div>
+<div class="ttc" id="autils_8h_html_ad21f654c48115ba2419ca98644a44ae9"><div class="ttname"><a href="utils_8h.html#ad21f654c48115ba2419ca98644a44ae9">utils_swap</a></div><div class="ttdeci">void utils_swap(uint8_t *a, uint8_t *b)</div><div class="ttdoc">Interchange the values of two variables of type uint8_t.</div><div class="ttdef"><b>Definition:</b> <a href="utils_8c_source.html#l00046">utils.c:46</a></div></div>
+<div class="ttc" id="autils_8h_html_a535a04a4bff82c88599e4648dfa7cfe1"><div class="ttname"><a href="utils_8h.html#a535a04a4bff82c88599e4648dfa7cfe1">utils_moving_average</a></div><div class="ttdeci">void utils_moving_average(uint8_t arr_size, vector_t in_arr[], uint8_t window_size, vector_t out_arr[])</div><div class="ttdoc">Compute the moving average of a data set.</div><div class="ttdef"><b>Definition:</b> <a href="utils_8c_source.html#l00121">utils.c:121</a></div></div>
+<!-- start footer part -->
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+ <div id="projectname">RcdMathLib_doc
+ </div>
+ <div id="projectbrief">Open Source Library for Linear and Non-linear Algebra</div>
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+ onmouseover="return searchBox.OnSearchSelectShow()"
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+ name="MSearchResults" id="MSearchResults">
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+
+<div class="header">
+ <div class="summary">
+<a href="#func-members">Functions</a> </div>
+ <div class="headertitle">
+<div class="title">utils_test.h File Reference<div class="ingroups"><a class="el" href="group__examples.html">EXAMPLES</a></div></div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Examples of the utility functions.
+<a href="#details">More...</a></p>
+
+<p><a href="utils__test_8h_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a91c61f3d2a5985466b46f5b15ad0faf7"><td class="memItemLeft" align="right" valign="top"><a id="a91c61f3d2a5985466b46f5b15ad0faf7"></a>
+void </td><td class="memItemRight" valign="bottom"><a class="el" href="utils__test_8h.html#a91c61f3d2a5985466b46f5b15ad0faf7">utils_test</a> (void)</td></tr>
+<tr class="memdesc:a91c61f3d2a5985466b46f5b15ad0faf7"><td class="mdescLeft"> </td><td class="mdescRight">Examples of the utility functions. <br /></td></tr>
+<tr class="separator:a91c61f3d2a5985466b46f5b15ad0faf7"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Examples of the utility functions. </p>
+<p>Utility examples (see <a class="el" href="utils_8h.html">utilities</a> functions).</p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="utils__test_8h_source.html">utils_test.h</a>.</p>
+</div></div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="navelem"><a class="el" href="dir_d28a4824dc47e487b107a5db32ef43c4.html">examples</a></li><li class="navelem"><a class="el" href="dir_bb878afedbb83074fe4b7f6b65e06747.html">linear_algebra</a></li><li class="navelem"><a class="el" href="dir_8e5c3f26a7da9560da5fd7be1ee471fe.html">utilities</a></li><li class="navelem"><a class="el" href="dir_482d4625c499ea39e333dde09ca074c3.html">include</a></li><li class="navelem"><a class="el" href="utils__test_8h.html">utils_test.h</a></li>
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diff --git a/doc/doxygen/html/utils__test_8h.js b/doc/doxygen/html/utils__test_8h.js
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+var utils__test_8h =
+[
+ [ "utils_test", "utils__test_8h.html#a91c61f3d2a5985466b46f5b15ad0faf7", null ]
+];
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diff --git a/doc/doxygen/html/utils__test_8h_source.html b/doc/doxygen/html/utils__test_8h_source.html
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+<div class="title">utils_test.h</div> </div>
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+<a href="utils__test_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="preprocessor">#ifndef UTILS_TEST_H_</span></div>
+<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#define UTILS_TEST_H_</span></div>
+<div class="line"><a name="l00026"></a><span class="lineno"> 26</span>  </div>
+<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="keywordtype">void</span> <a class="code" href="utils__test_8h.html#a91c61f3d2a5985466b46f5b15ad0faf7">utils_test</a>(<span class="keywordtype">void</span>);</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="preprocessor">#endif </span><span class="comment">/* UTILS_TEST_H_*/</span><span class="preprocessor"></span></div>
+</div><!-- fragment --></div><!-- contents -->
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+<div class="ttc" id="autils__test_8h_html_a91c61f3d2a5985466b46f5b15ad0faf7"><div class="ttname"><a href="utils__test_8h.html#a91c61f3d2a5985466b46f5b15ad0faf7">utils_test</a></div><div class="ttdeci">void utils_test(void)</div><div class="ttdoc">Examples of the utility functions.</div><div class="ttdef"><b>Definition:</b> <a href="utils__test_8c_source.html#l00028">utils_test.c:28</a></div></div>
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+<a href="#func-members">Functions</a> </div>
+ <div class="headertitle">
+<div class="title">vector.c File Reference</div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Vector computations. Vector computations include operations such as addition, subtraction, and inner product (dot product).
+<a href="#details">More...</a></p>
+<div class="textblock"><code>#include <inttypes.h></code><br />
+<code>#include <stdio.h></code><br />
+<code>#include <string.h></code><br />
+<code>#include <math.h></code><br />
+<code>#include <stdbool.h></code><br />
+<code>#include "<a class="el" href="vector_8h_source.html">vector.h</a>"</code><br />
+<code>#include "<a class="el" href="utils_8h_source.html">utils.h</a>"</code><br />
+</div>
+<p><a href="vector_8c_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ac4b023769faf53e06c2ed1f2fd928d14"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="vector_8c.html#ac4b023769faf53e06c2ed1f2fd928d14">vector_clear</a> (uint8_t n, <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> arr[])</td></tr>
+<tr class="memdesc:ac4b023769faf53e06c2ed1f2fd928d14"><td class="mdescLeft"> </td><td class="mdescRight">Clear all the elements of the vector. <a href="vector_8c.html#ac4b023769faf53e06c2ed1f2fd928d14">More...</a><br /></td></tr>
+<tr class="separator:ac4b023769faf53e06c2ed1f2fd928d14"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:ae9d3378f23ba835c727245b434b8a7f6"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="vector_8c.html#ae9d3378f23ba835c727245b434b8a7f6">vector_copy</a> (uint8_t size, <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> src_arr[], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> dest_arr[])</td></tr>
+<tr class="memdesc:ae9d3378f23ba835c727245b434b8a7f6"><td class="mdescLeft"> </td><td class="mdescRight">Copy the elements of the source vector to the destination vector. <a href="vector_8c.html#ae9d3378f23ba835c727245b434b8a7f6">More...</a><br /></td></tr>
+<tr class="separator:ae9d3378f23ba835c727245b434b8a7f6"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a4cfc452fdff3e32a601ccff140cd9ae6"><td class="memItemLeft" align="right" valign="top"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="vector_8c.html#a4cfc452fdff3e32a601ccff140cd9ae6">vector_get_norm2</a> (uint8_t length, <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> arr[])</td></tr>
+<tr class="memdesc:a4cfc452fdff3e32a601ccff140cd9ae6"><td class="mdescLeft"> </td><td class="mdescRight">Compute the 2-norm norm of a vector. <a href="vector_8c.html#a4cfc452fdff3e32a601ccff140cd9ae6">More...</a><br /></td></tr>
+<tr class="separator:a4cfc452fdff3e32a601ccff140cd9ae6"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:aab9d7950d4ba03b0e1a23de5b7fae6a6"><td class="memItemLeft" align="right" valign="top"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="vector_8c.html#aab9d7950d4ba03b0e1a23de5b7fae6a6">vector_get_square_norm2</a> (uint8_t length, <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> arr[])</td></tr>
+<tr class="memdesc:aab9d7950d4ba03b0e1a23de5b7fae6a6"><td class="mdescLeft"> </td><td class="mdescRight">Compute the squared 2-norm norm of a vector . <a href="vector_8c.html#aab9d7950d4ba03b0e1a23de5b7fae6a6">More...</a><br /></td></tr>
+<tr class="separator:aab9d7950d4ba03b0e1a23de5b7fae6a6"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:af1767c4decdd472ed81035a19cf2152b"><td class="memItemLeft" align="right" valign="top"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="vector_8c.html#af1767c4decdd472ed81035a19cf2152b">vector_get_sum</a> (uint8_t length, <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> arr[])</td></tr>
+<tr class="memdesc:af1767c4decdd472ed81035a19cf2152b"><td class="mdescLeft"> </td><td class="mdescRight">Compute the sum of the elements of a vector. <a href="vector_8c.html#af1767c4decdd472ed81035a19cf2152b">More...</a><br /></td></tr>
+<tr class="separator:af1767c4decdd472ed81035a19cf2152b"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a4a8fae4c69677390016c116123d9eff8"><td class="memItemLeft" align="right" valign="top"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="vector_8c.html#a4a8fae4c69677390016c116123d9eff8">vector_get_mean_value</a> (uint8_t length, <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> arr[])</td></tr>
+<tr class="memdesc:a4a8fae4c69677390016c116123d9eff8"><td class="mdescLeft"> </td><td class="mdescRight">Compute the average or mean value of a vector. <a href="vector_8c.html#a4a8fae4c69677390016c116123d9eff8">More...</a><br /></td></tr>
+<tr class="separator:a4a8fae4c69677390016c116123d9eff8"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a3bbd999b10064c2ede2bd427aa040b63"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="vector_8c.html#a3bbd999b10064c2ede2bd427aa040b63">vector_sub</a> (uint8_t size, <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> a_vec[], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> b_vec[], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> a_minus_b[])</td></tr>
+<tr class="memdesc:a3bbd999b10064c2ede2bd427aa040b63"><td class="mdescLeft"> </td><td class="mdescRight">Compute the subtraction of two vectors. <a href="vector_8c.html#a3bbd999b10064c2ede2bd427aa040b63">More...</a><br /></td></tr>
+<tr class="separator:a3bbd999b10064c2ede2bd427aa040b63"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a92917951880002814392c2367896d7a0"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="vector_8c.html#a92917951880002814392c2367896d7a0">vector_add</a> (uint8_t size, <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> a_vec[size], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> b_vec[size], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> a_plus_b_vec[size])</td></tr>
+<tr class="memdesc:a92917951880002814392c2367896d7a0"><td class="mdescLeft"> </td><td class="mdescRight">Compute the addition of two vectors. <a href="vector_8c.html#a92917951880002814392c2367896d7a0">More...</a><br /></td></tr>
+<tr class="separator:a92917951880002814392c2367896d7a0"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a099aa56dd0f260c77afaf8b62b56b2c5"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="vector_8c.html#a099aa56dd0f260c77afaf8b62b56b2c5">vector_mul</a> (uint8_t size, <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> a_vec[size], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> b_vec[size], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> a_mul_b_vec[size])</td></tr>
+<tr class="memdesc:a099aa56dd0f260c77afaf8b62b56b2c5"><td class="mdescLeft"> </td><td class="mdescRight">Compute the multiplication of two vectors. <a href="vector_8c.html#a099aa56dd0f260c77afaf8b62b56b2c5">More...</a><br /></td></tr>
+<tr class="separator:a099aa56dd0f260c77afaf8b62b56b2c5"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:afc68fab0b07c974faf5a457d20b01c58"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="vector_8c.html#afc68fab0b07c974faf5a457d20b01c58">vector_square</a> (uint8_t n, <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> vec[n], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> square_vec[n])</td></tr>
+<tr class="memdesc:afc68fab0b07c974faf5a457d20b01c58"><td class="mdescLeft"> </td><td class="mdescRight">Compute the square of a vector. <a href="vector_8c.html#afc68fab0b07c974faf5a457d20b01c58">More...</a><br /></td></tr>
+<tr class="separator:afc68fab0b07c974faf5a457d20b01c58"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a90a92f618957807f90ab1d8a8d9150d4"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="vector_8c.html#a90a92f618957807f90ab1d8a8d9150d4">vector_in_place_scalar_mul</a> (uint8_t size, <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> a_vec[size], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> scl)</td></tr>
+<tr class="memdesc:a90a92f618957807f90ab1d8a8d9150d4"><td class="mdescLeft"> </td><td class="mdescRight">Compute the product of a vector with a real number. <a href="vector_8c.html#a90a92f618957807f90ab1d8a8d9150d4">More...</a><br /></td></tr>
+<tr class="separator:a90a92f618957807f90ab1d8a8d9150d4"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a3c0bdd0e463fb34757a71470c55af845"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="vector_8c.html#a3c0bdd0e463fb34757a71470c55af845">vector_scalar_mul</a> (uint8_t size, <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> src_vec[size], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> scl, <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> dest_vec[])</td></tr>
+<tr class="memdesc:a3c0bdd0e463fb34757a71470c55af845"><td class="mdescLeft"> </td><td class="mdescRight">Compute the product of a vector with a real number. <a href="vector_8c.html#a3c0bdd0e463fb34757a71470c55af845">More...</a><br /></td></tr>
+<tr class="separator:a3c0bdd0e463fb34757a71470c55af845"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:ae41fee7d298da0645c37ed6af7acea0b"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="vector_8c.html#ae41fee7d298da0645c37ed6af7acea0b">vector_scalar_div</a> (uint8_t size, <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> a_vec[size], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> scl)</td></tr>
+<tr class="memdesc:ae41fee7d298da0645c37ed6af7acea0b"><td class="mdescLeft"> </td><td class="mdescRight">Compute the division of a vector with a real number. <a href="vector_8c.html#ae41fee7d298da0645c37ed6af7acea0b">More...</a><br /></td></tr>
+<tr class="separator:ae41fee7d298da0645c37ed6af7acea0b"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:abbb6bf046e47a8634c15c43a508cacb9"><td class="memItemLeft" align="right" valign="top"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="vector_8c.html#abbb6bf046e47a8634c15c43a508cacb9">vector_get_euclidean_distance</a> (uint8_t length, <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> vec1[], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> vec2[])</td></tr>
+<tr class="memdesc:abbb6bf046e47a8634c15c43a508cacb9"><td class="mdescLeft"> </td><td class="mdescRight">Compute the Euclidean distance between two vectors. <a href="vector_8c.html#abbb6bf046e47a8634c15c43a508cacb9">More...</a><br /></td></tr>
+<tr class="separator:abbb6bf046e47a8634c15c43a508cacb9"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a982bc2f9e4755461eac46c6322b4562d"><td class="memItemLeft" align="right" valign="top"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="vector_8c.html#a982bc2f9e4755461eac46c6322b4562d">vector_get_max_and_index</a> (uint8_t length, <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> vec[], uint8_t *index)</td></tr>
+<tr class="memdesc:a982bc2f9e4755461eac46c6322b4562d"><td class="mdescLeft"> </td><td class="mdescRight">Compute the maximal value and its index of a vector. <a href="vector_8c.html#a982bc2f9e4755461eac46c6322b4562d">More...</a><br /></td></tr>
+<tr class="separator:a982bc2f9e4755461eac46c6322b4562d"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a5f4b706c07b9b0f7a4983d80fba99e4e"><td class="memItemLeft" align="right" valign="top"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="vector_8c.html#a5f4b706c07b9b0f7a4983d80fba99e4e">vector_get_scalar_product</a> (uint8_t n, <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> vec1[n], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> vec2[n])</td></tr>
+<tr class="memdesc:a5f4b706c07b9b0f7a4983d80fba99e4e"><td class="mdescLeft"> </td><td class="mdescRight">Compute the dot product of two vectors. <a href="vector_8c.html#a5f4b706c07b9b0f7a4983d80fba99e4e">More...</a><br /></td></tr>
+<tr class="separator:a5f4b706c07b9b0f7a4983d80fba99e4e"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:af98f2e3896ce7b96d598b11033ac1795"><td class="memItemLeft" align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="vector_8c.html#af98f2e3896ce7b96d598b11033ac1795">vector_is_equal</a> (uint16_t length, <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> vec_1[], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> vec_2[])</td></tr>
+<tr class="memdesc:af98f2e3896ce7b96d598b11033ac1795"><td class="mdescLeft"> </td><td class="mdescRight">Determine the equality of two vectors. <a href="vector_8c.html#af98f2e3896ce7b96d598b11033ac1795">More...</a><br /></td></tr>
+<tr class="separator:af98f2e3896ce7b96d598b11033ac1795"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a45dfc0cdad1f1a542df4029b498766ba"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="vector_8c.html#a45dfc0cdad1f1a542df4029b498766ba">vector_get_index_vector</a> (uint8_t k, uint8_t n, <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> unsorted_vector[n], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> sorted_vector[n], uint8_t index_vector[n])</td></tr>
+<tr class="memdesc:a45dfc0cdad1f1a542df4029b498766ba"><td class="mdescLeft"> </td><td class="mdescRight">Determine the index of the vector elements before sorting. <a href="vector_8c.html#a45dfc0cdad1f1a542df4029b498766ba">More...</a><br /></td></tr>
+<tr class="separator:a45dfc0cdad1f1a542df4029b498766ba"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a1fcbe913017a3b6802d5f66c8ef699ac"><td class="memItemLeft" align="right" valign="top"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="vector_8c.html#a1fcbe913017a3b6802d5f66c8ef699ac">vector_get_residual</a> (uint8_t length, <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> a_vec[], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> b_vec[])</td></tr>
+<tr class="memdesc:a1fcbe913017a3b6802d5f66c8ef699ac"><td class="mdescLeft"> </td><td class="mdescRight">Compute the residual of two vectors. <a href="vector_8c.html#a1fcbe913017a3b6802d5f66c8ef699ac">More...</a><br /></td></tr>
+<tr class="separator:a1fcbe913017a3b6802d5f66c8ef699ac"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a1348a041e323e7b333482242b51a7674"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="vector_8c.html#a1348a041e323e7b333482242b51a7674">vector_get_elements</a> (<a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> src_vec[], uint8_t k, uint8_t index_vec[], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> dst_vec[])</td></tr>
+<tr class="memdesc:a1348a041e323e7b333482242b51a7674"><td class="mdescLeft"> </td><td class="mdescRight">Get the elements of the vector by an index vector. <a href="vector_8c.html#a1348a041e323e7b333482242b51a7674">More...</a><br /></td></tr>
+<tr class="separator:a1348a041e323e7b333482242b51a7674"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a421f989647bf55af29c0f55b7f33d35a"><td class="memItemLeft" align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="vector_8c.html#a421f989647bf55af29c0f55b7f33d35a">vector_uint32_is_equal</a> (uint32_t length, uint32_t vec_1[], uint32_t vec_2[])</td></tr>
+<tr class="memdesc:a421f989647bf55af29c0f55b7f33d35a"><td class="mdescLeft"> </td><td class="mdescRight">Determine the equality of two vectors of type uint32_t. <a href="vector_8c.html#a421f989647bf55af29c0f55b7f33d35a">More...</a><br /></td></tr>
+<tr class="separator:a421f989647bf55af29c0f55b7f33d35a"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a8f24286db94dba6ab181edcdfe296262"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="vector_8c.html#a8f24286db94dba6ab181edcdfe296262">vector_print</a> (uint32_t length, <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> arr[])</td></tr>
+<tr class="memdesc:a8f24286db94dba6ab181edcdfe296262"><td class="mdescLeft"> </td><td class="mdescRight">Display the values of the vector's elements. <a href="vector_8c.html#a8f24286db94dba6ab181edcdfe296262">More...</a><br /></td></tr>
+<tr class="separator:a8f24286db94dba6ab181edcdfe296262"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a8ec75dc585746d950ab517e9929f31fe"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="vector_8c.html#a8ec75dc585746d950ab517e9929f31fe">vector_print_u8_array</a> (uint32_t length, uint8_t arr[])</td></tr>
+<tr class="memdesc:a8ec75dc585746d950ab517e9929f31fe"><td class="mdescLeft"> </td><td class="mdescRight">Display the values of the vector's elements of type uint8_t. <a href="vector_8c.html#a8ec75dc585746d950ab517e9929f31fe">More...</a><br /></td></tr>
+<tr class="separator:a8ec75dc585746d950ab517e9929f31fe"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:ab2827264910e858f238868695a92db4b"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="vector_8c.html#ab2827264910e858f238868695a92db4b">vector_flex_print</a> (uint32_t length, <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> arr[], uint8_t before_dot, uint8_t after_dot)</td></tr>
+<tr class="memdesc:ab2827264910e858f238868695a92db4b"><td class="mdescLeft"> </td><td class="mdescRight">Display the values of the vector's elements. <a href="vector_8c.html#ab2827264910e858f238868695a92db4b">More...</a><br /></td></tr>
+<tr class="separator:ab2827264910e858f238868695a92db4b"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Vector computations. Vector computations include operations such as addition, subtraction, and inner product (dot product). </p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="vector_8c_source.html">vector.c</a>.</p>
+</div><h2 class="groupheader">Function Documentation</h2>
+<a id="a92917951880002814392c2367896d7a0"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a92917951880002814392c2367896d7a0">◆ </a></span>vector_add()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void vector_add </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>size</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>a_vec</em>[size], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>b_vec</em>[size], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>a_plus_b_vec</em>[size] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute the addition of two vectors. </p>
+<p>Add b_vec to a_vec and return the result in a_plus_b.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">size</td><td>number of elements to subtract. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">a_vec[]</td><td>pointer to the first vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">b_vec[]</td><td>pointer to the second vector. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">a_plus_b_vec[]</td><td>pointer to the destination vector. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="vector_8c_source.html#l00104">104</a> of file <a class="el" href="vector_8c_source.html">vector.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="damped__newton__raphson_8c_source.html#l00032">damped_newton_raphson()</a>, <a class="el" href="loc__levenberg__marquardt_8c_source.html#l00126">loc_levenberg_marquardt()</a>, <a class="el" href="loc__levenberg__marquardt_8c_source.html#l00034">loc_levenberg_marquardt_correction()</a>, <a class="el" href="levenberg__marquardt_8c_source.html#l00143">opt_levenberg_marquardt()</a>, <a class="el" href="levenberg__marquardt_8c_source.html#l00053">opt_levenberg_marquardt_correction()</a>, and <a class="el" href="vector__test_8c_source.html#l00030">vector_test()</a>.</p>
+
+</div>
+</div>
+<a id="ac4b023769faf53e06c2ed1f2fd928d14"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#ac4b023769faf53e06c2ed1f2fd928d14">◆ </a></span>vector_clear()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void vector_clear </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>size</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>arr</em>[] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Clear all the elements of the vector. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">size</td><td>size of the vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">arr[]</td><td>pointer to the vector. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="vector_8c_source.html#l00032">32</a> of file <a class="el" href="vector_8c_source.html">vector.c</a>.</p>
+
+<p class="reference">References <a class="el" href="vector_8h_source.html#l00033">vector_t</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="dist__based__jacobian_8c_source.html#l00028">dist_based_jacobian_get_JTf()</a>, <a class="el" href="fsolve__test_8c_source.html#l00245">fsolve_test()</a>, <a class="el" href="optimization__test_8c_source.html#l00264">optimization_exponential_data_test()</a>, <a class="el" href="optimization__test_8c_source.html#l00376">optimization_sinusoidal_data_test()</a>, <a class="el" href="optimization__test_8c_source.html#l00101">optimization_test()</a>, <a class="el" href="position__optimization__test_8c_source.html#l00037">position_optimization_test()</a>, and <a class="el" href="vector__test_8c_source.html#l00030">vector_test()</a>.</p>
+
+</div>
+</div>
+<a id="ae9d3378f23ba835c727245b434b8a7f6"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#ae9d3378f23ba835c727245b434b8a7f6">◆ </a></span>vector_copy()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void vector_copy </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>size</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>src_arr</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>dest_arr</em>[] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Copy the elements of the source vector to the destination vector. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">size</td><td>number of elements to copy. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">src_arr[]</td><td>pointer to the source vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">dest_arr[]</td><td>pointer to the destination vector. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="vector_8c_source.html#l00037">37</a> of file <a class="el" href="vector_8c_source.html">vector.c</a>.</p>
+
+<p class="reference">References <a class="el" href="vector_8h_source.html#l00033">vector_t</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="damped__newton__raphson_8c_source.html#l00032">damped_newton_raphson()</a>, <a class="el" href="loc__gauss__newton_8c_source.html#l00030">loc_gauss_newton()</a>, <a class="el" href="loc__levenberg__marquardt_8c_source.html#l00126">loc_levenberg_marquardt()</a>, <a class="el" href="modified__gauss__newton_8c_source.html#l00032">modified_gauss_newton()</a>, <a class="el" href="multipath__algo__own__norm__distr__test_8c_source.html#l00038">multipath_algo_own_norm_distr_test()</a>, <a class="el" href="newton__raphson_8c_source.html#l00028">newton_raphson()</a>, <a class="el" href="levenberg__marquardt_8c_source.html#l00143">opt_levenberg_marquardt()</a>, <a class="el" href="multipath__dist__detection__mitigation_8c_source.html#l00133">recog_mitigate_multipath()</a>, and <a class="el" href="vector__test_8c_source.html#l00030">vector_test()</a>.</p>
+
+</div>
+</div>
+<a id="ab2827264910e858f238868695a92db4b"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#ab2827264910e858f238868695a92db4b">◆ </a></span>vector_flex_print()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void vector_flex_print </td>
+ <td>(</td>
+ <td class="paramtype">uint32_t </td>
+ <td class="paramname"><em>length</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>arr</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>before_dot</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>after_dot</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Display the values of the vector's elements. </p>
+<p>This function allows the user to determine the precision as well as the with of the numbers to display.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">length</td><td>size of the vector to display. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">arr</td><td>pointer to the vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">before_dot</td><td>the number of digits to be printed before the decimal point. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">after_dot</td><td>the number of digits to be printed after the decimal point. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="vector_8c_source.html#l00284">284</a> of file <a class="el" href="vector_8c_source.html">vector.c</a>.</p>
+
+<p class="reference">References <a class="el" href="utils_8c_source.html#l00096">utils_printf()</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="distance__based__test_8c_source.html#l00032">distance_based_test()</a>, <a class="el" href="fsolve__test_8c_source.html#l00245">fsolve_test()</a>, <a class="el" href="magnetic__based__position_8c_source.html#l00062">magnetic_based_get_magnetic_field()</a>, <a class="el" href="magnetic__based__test_8c_source.html#l00034">magnetic_based_test()</a>, <a class="el" href="multipath__algo__own__norm__distr__test_8c_source.html#l00038">multipath_algo_own_norm_distr_test()</a>, <a class="el" href="optimization__test_8c_source.html#l00101">optimization_test()</a>, <a class="el" href="position__optimization__test_8c_source.html#l00037">position_optimization_test()</a>, <a class="el" href="solve__test_8c_source.html#l00216">solve_big_matrix_test()</a>, <a class="el" href="solve__test_8c_source.html#l00029">solve_test()</a>, <a class="el" href="utils__test_8c_source.html#l00028">utils_test()</a>, and <a class="el" href="vector__test_8c_source.html#l00030">vector_test()</a>.</p>
+
+</div>
+</div>
+<a id="a1348a041e323e7b333482242b51a7674"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a1348a041e323e7b333482242b51a7674">◆ </a></span>vector_get_elements()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void vector_get_elements </td>
+ <td>(</td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>src_vec</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>k</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>index_vec</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>dst_vec</em>[] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Get the elements of the vector by an index vector. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">src_vec[]</td><td>pointer to source vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">k</td><td>size of the index vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">index_vec[]</td><td>pointer to the index vector. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">dst_vec[]</td><td>pointer to the destination vector </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="vector_8c_source.html#l00235">235</a> of file <a class="el" href="vector_8c_source.html">vector.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="multipath__algo__own__norm__distr__test_8c_source.html#l00038">multipath_algo_own_norm_distr_test()</a>.</p>
+
+</div>
+</div>
+<a id="abbb6bf046e47a8634c15c43a508cacb9"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#abbb6bf046e47a8634c15c43a508cacb9">◆ </a></span>vector_get_euclidean_distance()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> vector_get_euclidean_distance </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>length</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>vec1</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>vec2</em>[] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute the Euclidean distance between two vectors. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">length</td><td>size of the vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">vec1[]</td><td>pointer to the first vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">vec2[]</td><td>pointer to the second vector.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the Euclidean distance. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="vector_8c_source.html#l00163">163</a> of file <a class="el" href="vector_8c_source.html">vector.c</a>.</p>
+
+<p class="reference">References <a class="el" href="vector_8c_source.html#l00042">vector_get_norm2()</a>, <a class="el" href="vector_8c_source.html#l00094">vector_sub()</a>, and <a class="el" href="vector_8h_source.html#l00033">vector_t</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="loc__gauss__newton_8c_source.html#l00030">loc_gauss_newton()</a>, <a class="el" href="modified__gauss__newton_8c_source.html#l00032">modified_gauss_newton()</a>, <a class="el" href="newton__raphson_8c_source.html#l00028">newton_raphson()</a>, and <a class="el" href="vector__test_8c_source.html#l00030">vector_test()</a>.</p>
+
+</div>
+</div>
+<a id="a45dfc0cdad1f1a542df4029b498766ba"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a45dfc0cdad1f1a542df4029b498766ba">◆ </a></span>vector_get_index_vector()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void vector_get_index_vector </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>k</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>unsorted_vector</em>[n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>sorted_vector</em>[n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>index_vector</em>[n] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Determine the index of the vector elements before sorting. </p>
+<p>Determine the index of the elements of a sorted vector. These indices correspond to the positions of the elements in the unsorted vector.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">k</td><td>size of the unsorted vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>size of the sorted vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">unsorted_vector[]</td><td>pointer to the unsorted vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">sorted_vector[]</td><td>pointer to the sorted vector. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">index_vector[]</td><td>pointer to the index vector. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="vector_8c_source.html#l00214">214</a> of file <a class="el" href="vector_8c_source.html">vector.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="multipath__dist__detection__mitigation_8c_source.html#l00133">recog_mitigate_multipath()</a>.</p>
+
+</div>
+</div>
+<a id="a982bc2f9e4755461eac46c6322b4562d"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a982bc2f9e4755461eac46c6322b4562d">◆ </a></span>vector_get_max_and_index()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> vector_get_max_and_index </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>length</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>vec</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t * </td>
+ <td class="paramname"><em>index</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute the maximal value and its index of a vector. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">length</td><td>vector size. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">vec[]</td><td>pointer to the vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">index</td><td>pointer to the index.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the maximal value of the vector. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="vector_8c_source.html#l00175">175</a> of file <a class="el" href="vector_8c_source.html">vector.c</a>.</p>
+
+<p class="reference">References <a class="el" href="vector_8h_source.html#l00033">vector_t</a>.</p>
+
+</div>
+</div>
+<a id="a4a8fae4c69677390016c116123d9eff8"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a4a8fae4c69677390016c116123d9eff8">◆ </a></span>vector_get_mean_value()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> vector_get_mean_value </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>length</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>arr</em>[] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute the average or mean value of a vector. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">length</td><td>size of the vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">arr[]</td><td>pointer to the vector.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the mean value of the vector. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="vector_8c_source.html#l00078">78</a> of file <a class="el" href="vector_8c_source.html">vector.c</a>.</p>
+
+<p class="reference">References <a class="el" href="vector_8h_source.html#l00033">vector_t</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="vector__test_8c_source.html#l00030">vector_test()</a>.</p>
+
+</div>
+</div>
+<a id="a4cfc452fdff3e32a601ccff140cd9ae6"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a4cfc452fdff3e32a601ccff140cd9ae6">◆ </a></span>vector_get_norm2()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> vector_get_norm2 </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>length</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>arr</em>[] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute the 2-norm norm of a vector. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">length</td><td>size of the vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">arr[]</td><td>pointer to the vector.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the 2-norm of the vector. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="vector_8c_source.html#l00042">42</a> of file <a class="el" href="vector_8c_source.html">vector.c</a>.</p>
+
+<p class="reference">References <a class="el" href="vector_8h_source.html#l00033">vector_t</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="damped__newton__raphson_8c_source.html#l00032">damped_newton_raphson()</a>, <a class="el" href="dist__based__position_8c_source.html#l00045">dist_based_get_distance_to_anchor()</a>, <a class="el" href="damped__newton__raphson_8c_source.html#l00104">get_damped_norm()</a>, <a class="el" href="loc__gauss__newton_8c_source.html#l00030">loc_gauss_newton()</a>, <a class="el" href="loc__levenberg__marquardt_8c_source.html#l00126">loc_levenberg_marquardt()</a>, <a class="el" href="magnetic__based__position_8c_source.html#l00050">magnetic_based_get_distances_to_anchors()</a>, <a class="el" href="modified__gauss__newton_8c_source.html#l00032">modified_gauss_newton()</a>, <a class="el" href="levenberg__marquardt_8c_source.html#l00143">opt_levenberg_marquardt()</a>, <a class="el" href="multipath__dist__detection__mitigation_8c_source.html#l00133">recog_mitigate_multipath()</a>, <a class="el" href="vector_8c_source.html#l00163">vector_get_euclidean_distance()</a>, <a class="el" href="vector_8c_source.html#l00227">vector_get_residual()</a>, and <a class="el" href="vector__test_8c_source.html#l00030">vector_test()</a>.</p>
+
+</div>
+</div>
+<a id="a1fcbe913017a3b6802d5f66c8ef699ac"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a1fcbe913017a3b6802d5f66c8ef699ac">◆ </a></span>vector_get_residual()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> vector_get_residual </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>length</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>a_vec</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>b_vec</em>[] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute the residual of two vectors. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">length</td><td>vector size. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">a_vec[]</td><td>pointer to the first vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">b_vec[]</td><td>pointer to the second vector.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the residual of the two vectors. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="vector_8c_source.html#l00227">227</a> of file <a class="el" href="vector_8c_source.html">vector.c</a>.</p>
+
+<p class="reference">References <a class="el" href="vector_8c_source.html#l00042">vector_get_norm2()</a>, <a class="el" href="vector_8c_source.html#l00094">vector_sub()</a>, and <a class="el" href="vector_8h_source.html#l00033">vector_t</a>.</p>
+
+</div>
+</div>
+<a id="a5f4b706c07b9b0f7a4983d80fba99e4e"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a5f4b706c07b9b0f7a4983d80fba99e4e">◆ </a></span>vector_get_scalar_product()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> vector_get_scalar_product </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>vec1</em>[n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>vec2</em>[n] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute the dot product of two vectors. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>size of the vectors. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">vec1[]</td><td>pointer to the first vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">vec2[]</td><td>pointer to the second vector.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the scalar product of two vectors. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="vector_8c_source.html#l00190">190</a> of file <a class="el" href="vector_8c_source.html">vector.c</a>.</p>
+
+<p class="reference">References <a class="el" href="vector_8h_source.html#l00033">vector_t</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="loc__levenberg__marquardt_8c_source.html#l00034">loc_levenberg_marquardt_correction()</a>, <a class="el" href="levenberg__marquardt_8c_source.html#l00053">opt_levenberg_marquardt_correction()</a>, and <a class="el" href="vector__test_8c_source.html#l00030">vector_test()</a>.</p>
+
+</div>
+</div>
+<a id="aab9d7950d4ba03b0e1a23de5b7fae6a6"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#aab9d7950d4ba03b0e1a23de5b7fae6a6">◆ </a></span>vector_get_square_norm2()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> vector_get_square_norm2 </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>length</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>arr</em>[] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute the squared 2-norm norm of a vector . </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">length</td><td>size of the vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">arr[]</td><td>pointer to the vector.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the squared 2-norm of the vector. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="vector_8c_source.html#l00054">54</a> of file <a class="el" href="vector_8c_source.html">vector.c</a>.</p>
+
+<p class="reference">References <a class="el" href="vector_8h_source.html#l00033">vector_t</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="vector__test_8c_source.html#l00030">vector_test()</a>.</p>
+
+</div>
+</div>
+<a id="af1767c4decdd472ed81035a19cf2152b"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#af1767c4decdd472ed81035a19cf2152b">◆ </a></span>vector_get_sum()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> vector_get_sum </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>length</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>arr</em>[] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute the sum of the elements of a vector. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">length</td><td>size of the vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">arr[]</td><td>pointer to the vector.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the sum of the elements of the vector. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="vector_8c_source.html#l00066">66</a> of file <a class="el" href="vector_8c_source.html">vector.c</a>.</p>
+
+<p class="reference">References <a class="el" href="vector_8h_source.html#l00033">vector_t</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="vector__test_8c_source.html#l00030">vector_test()</a>.</p>
+
+</div>
+</div>
+<a id="a90a92f618957807f90ab1d8a8d9150d4"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a90a92f618957807f90ab1d8a8d9150d4">◆ </a></span>vector_in_place_scalar_mul()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void vector_in_place_scalar_mul </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>size</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>a_vec</em>[size], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>scl</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute the product of a vector with a real number. </p>
+<p>Multiple the elements of a vector with a scalar and return the result in the vector itself.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">size</td><td>number of elements to multiply with a scalar. </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">a_vec[]</td><td>pointer to the source/destination vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">scl</td><td>a scalar. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="vector_8c_source.html#l00131">131</a> of file <a class="el" href="vector_8c_source.html">vector.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="damped__newton__raphson_8c_source.html#l00120">get_delta_x()</a>.</p>
+
+</div>
+</div>
+<a id="af98f2e3896ce7b96d598b11033ac1795"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#af98f2e3896ce7b96d598b11033ac1795">◆ </a></span>vector_is_equal()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">bool vector_is_equal </td>
+ <td>(</td>
+ <td class="paramtype">uint16_t </td>
+ <td class="paramname"><em>length</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>vec_1</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>vec_2</em>[] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Determine the equality of two vectors. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">length</td><td>size of the vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">vec_1[]</td><td>pointer to the first vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">vec_2[]</td><td>pointer to the second vector.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>true, if the two vectors are equal. </dd>
+<dd>
+false, if not. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="vector_8c_source.html#l00202">202</a> of file <a class="el" href="vector_8c_source.html">vector.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="vector__test_8c_source.html#l00030">vector_test()</a>.</p>
+
+</div>
+</div>
+<a id="a099aa56dd0f260c77afaf8b62b56b2c5"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a099aa56dd0f260c77afaf8b62b56b2c5">◆ </a></span>vector_mul()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void vector_mul </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>size</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>a_vec</em>[size], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>b_vec</em>[size], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>a_mul_b_vec</em>[size] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute the multiplication of two vectors. </p>
+<p>Multiple vectors a_vec and b_vec element by element and return the result in a_mul_b.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">size</td><td>number of elements to multiply. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">a_vec[]</td><td>pointer to the first vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">b_vec[]</td><td>pointer to the second vector. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">a_mul_b_vec[]</td><td>pointer to the destination vector. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="vector_8c_source.html#l00114">114</a> of file <a class="el" href="vector_8c_source.html">vector.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="vector__test_8c_source.html#l00030">vector_test()</a>.</p>
+
+</div>
+</div>
+<a id="a8f24286db94dba6ab181edcdfe296262"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a8f24286db94dba6ab181edcdfe296262">◆ </a></span>vector_print()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void vector_print </td>
+ <td>(</td>
+ <td class="paramtype">uint32_t </td>
+ <td class="paramname"><em>length</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>arr</em>[] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Display the values of the vector's elements. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">length</td><td>size of the vector to display. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">arr</td><td>pointer to the vector. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="vector_8c_source.html#l00255">255</a> of file <a class="el" href="vector_8c_source.html">vector.c</a>.</p>
+
+</div>
+</div>
+<a id="a8ec75dc585746d950ab517e9929f31fe"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a8ec75dc585746d950ab517e9929f31fe">◆ </a></span>vector_print_u8_array()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void vector_print_u8_array </td>
+ <td>(</td>
+ <td class="paramtype">uint32_t </td>
+ <td class="paramname"><em>length</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>arr</em>[] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Display the values of the vector's elements of type uint8_t. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">length</td><td>size of the vector to display. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">arr</td><td>pointer to the vector. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="vector_8c_source.html#l00269">269</a> of file <a class="el" href="vector_8c_source.html">vector.c</a>.</p>
+
+</div>
+</div>
+<a id="ae41fee7d298da0645c37ed6af7acea0b"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#ae41fee7d298da0645c37ed6af7acea0b">◆ </a></span>vector_scalar_div()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void vector_scalar_div </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>size</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>a_vec</em>[size], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>scl</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute the division of a vector with a real number. </p>
+<p>Divide the elements of a vector with a scalar and return the result in the vector itself.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">size</td><td>number of elements to divide with a scalar. </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">a_vec[]</td><td>pointer to the source/destination vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">scl</td><td>a scalar. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="vector_8c_source.html#l00151">151</a> of file <a class="el" href="vector_8c_source.html">vector.c</a>.</p>
+
+</div>
+</div>
+<a id="a3c0bdd0e463fb34757a71470c55af845"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a3c0bdd0e463fb34757a71470c55af845">◆ </a></span>vector_scalar_mul()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void vector_scalar_mul </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>size</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>src_vec</em>[size], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>scl</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>dest_vec</em>[] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute the product of a vector with a real number. </p>
+<p>Multiple the elements of a vector with a scalar and return the result in other vector.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">size</td><td>number of elements to multiply with a scalar. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">src_vec[]</td><td>pointer to the source vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">scl</td><td>a scalar. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">dest_vec</td><td>pointer to the destination vector. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="vector_8c_source.html#l00141">141</a> of file <a class="el" href="vector_8c_source.html">vector.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="damped__newton__raphson_8c_source.html#l00032">damped_newton_raphson()</a>.</p>
+
+</div>
+</div>
+<a id="afc68fab0b07c974faf5a457d20b01c58"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#afc68fab0b07c974faf5a457d20b01c58">◆ </a></span>vector_square()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void vector_square </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>vec</em>[n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>square_vec</em>[n] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute the square of a vector. </p>
+<p>Square the elements of vector vec and return the result in square_vec.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>number of elements to square. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">vec[]</td><td>pointer to the source vector. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">square_vec[]</td><td>pointer to the destination vector. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="vector_8c_source.html#l00124">124</a> of file <a class="el" href="vector_8c_source.html">vector.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="multipath__dist__detection__mitigation_8c_source.html#l00133">recog_mitigate_multipath()</a>.</p>
+
+</div>
+</div>
+<a id="a3bbd999b10064c2ede2bd427aa040b63"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a3bbd999b10064c2ede2bd427aa040b63">◆ </a></span>vector_sub()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void vector_sub </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>size</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>a_vec</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>b_vec</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>a_minus_b</em>[] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute the subtraction of two vectors. </p>
+<p>Substact b_vec from a_vec and return the result in a_minus_b.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">size</td><td>number of elements to subtract. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">a_vec[]</td><td>pointer to the first vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">b_vec[]</td><td>pointer to the second vector. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">a_minus_b[]</td><td>pointer to the destination vector. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="vector_8c_source.html#l00094">94</a> of file <a class="el" href="vector_8c_source.html">vector.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="dist__based__position_8c_source.html#l00045">dist_based_get_distance_to_anchor()</a>, <a class="el" href="loc__gauss__newton_8c_source.html#l00030">loc_gauss_newton()</a>, <a class="el" href="magnetic__based__position_8c_source.html#l00050">magnetic_based_get_distances_to_anchors()</a>, <a class="el" href="modified__gauss__newton_8c_source.html#l00032">modified_gauss_newton()</a>, <a class="el" href="newton__raphson_8c_source.html#l00028">newton_raphson()</a>, <a class="el" href="multipath__dist__detection__mitigation_8c_source.html#l00133">recog_mitigate_multipath()</a>, <a class="el" href="vector_8c_source.html#l00163">vector_get_euclidean_distance()</a>, <a class="el" href="vector_8c_source.html#l00227">vector_get_residual()</a>, and <a class="el" href="vector__test_8c_source.html#l00030">vector_test()</a>.</p>
+
+</div>
+</div>
+<a id="a421f989647bf55af29c0f55b7f33d35a"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a421f989647bf55af29c0f55b7f33d35a">◆ </a></span>vector_uint32_is_equal()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">bool vector_uint32_is_equal </td>
+ <td>(</td>
+ <td class="paramtype">uint32_t </td>
+ <td class="paramname"><em>length</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint32_t </td>
+ <td class="paramname"><em>vec_1</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint32_t </td>
+ <td class="paramname"><em>vec_2</em>[] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Determine the equality of two vectors of type uint32_t. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">length</td><td>size of the vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">vec_1[]</td><td>pointer to the first vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">vec_2[]</td><td>pointer to the second vector.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>true, if the two vectors are equal. </dd>
+<dd>
+false, if not. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="vector_8c_source.html#l00243">243</a> of file <a class="el" href="vector_8c_source.html">vector.c</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="navelem"><a class="el" href="dir_8c4128baa09a573ad2b8b8c0061a04c9.html">linear_algebra</a></li><li class="navelem"><a class="el" href="dir_c416454c2678f04387f9348cb110b9ee.html">basic_operations</a></li><li class="navelem"><a class="el" href="vector_8c.html">vector.c</a></li>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
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+ [ "vector_get_scalar_product", "vector_8c.html#a5f4b706c07b9b0f7a4983d80fba99e4e", null ],
+ [ "vector_get_square_norm2", "vector_8c.html#aab9d7950d4ba03b0e1a23de5b7fae6a6", null ],
+ [ "vector_get_sum", "vector_8c.html#af1767c4decdd472ed81035a19cf2152b", null ],
+ [ "vector_in_place_scalar_mul", "vector_8c.html#a90a92f618957807f90ab1d8a8d9150d4", null ],
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+ <div id="projectbrief">Open Source Library for Linear and Non-linear Algebra</div>
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+<div class="header">
+ <div class="headertitle">
+<div class="title">vector.c</div> </div>
+</div><!--header-->
+<div class="contents">
+<a href="vector_8c.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="preprocessor">#include <inttypes.h></span></div>
+<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="preprocessor">#include <stdio.h></span></div>
+<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#include <string.h></span></div>
+<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="preprocessor">#include <math.h></span></div>
+<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="preprocessor">#include <stdbool.h></span></div>
+<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>  </div>
+<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="preprocessor">#include "<a class="code" href="vector_8h.html">vector.h</a>"</span></div>
+<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="preprocessor">#include "<a class="code" href="utils_8h.html">utils.h</a>"</span></div>
+<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  </div>
+<div class="line"><a name="l00032"></a><span class="lineno"><a class="line" href="vector_8c.html#ac4b023769faf53e06c2ed1f2fd928d14"> 32</a></span> <span class="keywordtype">void</span> <a class="code" href="vector_8c.html#ac4b023769faf53e06c2ed1f2fd928d14">vector_clear</a>(uint8_t n, <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> arr[])</div>
+<div class="line"><a name="l00033"></a><span class="lineno"> 33</span> {</div>
+<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  memset(arr, 0, <span class="keyword">sizeof</span>(<a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a>) * n);</div>
+<div class="line"><a name="l00035"></a><span class="lineno"> 35</span> }</div>
+<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  </div>
+<div class="line"><a name="l00037"></a><span class="lineno"><a class="line" href="vector_8c.html#ae9d3378f23ba835c727245b434b8a7f6"> 37</a></span> <span class="keywordtype">void</span> <a class="code" href="vector_8c.html#ae9d3378f23ba835c727245b434b8a7f6">vector_copy</a>(uint8_t size, <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> src_arr[], <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> dest_arr[])</div>
+<div class="line"><a name="l00038"></a><span class="lineno"> 38</span> {</div>
+<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>  memcpy(dest_arr, src_arr, size * <span class="keyword">sizeof</span>(<a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a>));</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>  </div>
+<div class="line"><a name="l00042"></a><span class="lineno"><a class="line" href="vector_8c.html#a4cfc452fdff3e32a601ccff140cd9ae6"> 42</a></span> <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> <a class="code" href="vector_8c.html#a4cfc452fdff3e32a601ccff140cd9ae6">vector_get_norm2</a>(uint8_t length, <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> arr[])</div>
+<div class="line"><a name="l00043"></a><span class="lineno"> 43</span> {</div>
+<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> square_norm = 0.0;</div>
+<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  uint8_t i = 0;</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">for</span> (; i < length; i++) {</div>
+<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  square_norm += arr[i] * arr[i];</div>
+<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  }</div>
+<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  </div>
+<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  <span class="keywordflow">return</span> sqrt(square_norm);</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>  </div>
+<div class="line"><a name="l00054"></a><span class="lineno"><a class="line" href="vector_8c.html#aab9d7950d4ba03b0e1a23de5b7fae6a6"> 54</a></span> <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> <a class="code" href="vector_8c.html#aab9d7950d4ba03b0e1a23de5b7fae6a6">vector_get_square_norm2</a>(uint8_t length, <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> arr[])</div>
+<div class="line"><a name="l00055"></a><span class="lineno"> 55</span> {</div>
+<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> square_norm = 0.0;</div>
+<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  uint8_t i = 0;</div>
+<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  </div>
+<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  <span class="keywordflow">for</span> (; i < length; i++) {</div>
+<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  square_norm += arr[i] * arr[i];</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>  </div>
+<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  <span class="keywordflow">return</span> square_norm;</div>
+<div class="line"><a name="l00064"></a><span class="lineno"> 64</span> }</div>
+<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  </div>
+<div class="line"><a name="l00066"></a><span class="lineno"><a class="line" href="vector_8c.html#af1767c4decdd472ed81035a19cf2152b"> 66</a></span> <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> <a class="code" href="vector_8c.html#af1767c4decdd472ed81035a19cf2152b">vector_get_sum</a>(uint8_t length, <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> arr[])</div>
+<div class="line"><a name="l00067"></a><span class="lineno"> 67</span> {</div>
+<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> sum = 0.0;</div>
+<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  uint8_t i;</div>
+<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  </div>
+<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  <span class="keywordflow">for</span> (i = 0; i < length; i++) {</div>
+<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  sum += arr[i];</div>
+<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  }</div>
+<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  </div>
+<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  <span class="keywordflow">return</span> sum;</div>
+<div class="line"><a name="l00076"></a><span class="lineno"> 76</span> }</div>
+<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  </div>
+<div class="line"><a name="l00078"></a><span class="lineno"><a class="line" href="vector_8c.html#a4a8fae4c69677390016c116123d9eff8"> 78</a></span> <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> <a class="code" href="vector_8c.html#a4a8fae4c69677390016c116123d9eff8">vector_get_mean_value</a>(uint8_t length, <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> arr[])</div>
+<div class="line"><a name="l00079"></a><span class="lineno"> 79</span> {</div>
+<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> mean = 0.0;</div>
+<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  uint8_t i;</div>
+<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  </div>
+<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  <span class="keywordflow">for</span> (i = 0; i < length; i++) {</div>
+<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  mean += arr[i];</div>
+<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  }</div>
+<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  </div>
+<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  <span class="keywordflow">if</span> (length != 0) {</div>
+<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  mean /= length;</div>
+<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  }</div>
+<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  </div>
+<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  <span class="keywordflow">return</span> mean;</div>
+<div class="line"><a name="l00092"></a><span class="lineno"> 92</span> }</div>
+<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  </div>
+<div class="line"><a name="l00094"></a><span class="lineno"><a class="line" href="vector_8c.html#a3bbd999b10064c2ede2bd427aa040b63"> 94</a></span> <span class="keywordtype">void</span> <a class="code" href="vector_8c.html#a3bbd999b10064c2ede2bd427aa040b63">vector_sub</a>(uint8_t size, <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> a_vec[], <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> b_vec[],</div>
+<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> a_minus_b[])</div>
+<div class="line"><a name="l00096"></a><span class="lineno"> 96</span> {</div>
+<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  uint8_t i;</div>
+<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  </div>
+<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  <span class="keywordflow">for</span> (i = 0; i < size; i++) {</div>
+<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  a_minus_b[i] = a_vec[i] - b_vec[i];</div>
+<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  }</div>
+<div class="line"><a name="l00102"></a><span class="lineno"> 102</span> }</div>
+<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  </div>
+<div class="line"><a name="l00104"></a><span class="lineno"><a class="line" href="vector_8c.html#a92917951880002814392c2367896d7a0"> 104</a></span> <span class="keywordtype">void</span> <a class="code" href="vector_8c.html#a92917951880002814392c2367896d7a0">vector_add</a>(uint8_t size, <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> a_vec[size], <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> b_vec[size],</div>
+<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> a_plus_b_vec[size])</div>
+<div class="line"><a name="l00106"></a><span class="lineno"> 106</span> {</div>
+<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  uint8_t i;</div>
+<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  </div>
+<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  <span class="keywordflow">for</span> (i = 0; i < size; i++) {</div>
+<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  a_plus_b_vec[i] = a_vec[i] + b_vec[i];</div>
+<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  }</div>
+<div class="line"><a name="l00112"></a><span class="lineno"> 112</span> }</div>
+<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  </div>
+<div class="line"><a name="l00114"></a><span class="lineno"><a class="line" href="vector_8c.html#a099aa56dd0f260c77afaf8b62b56b2c5"> 114</a></span> <span class="keywordtype">void</span> <a class="code" href="vector_8c.html#a099aa56dd0f260c77afaf8b62b56b2c5">vector_mul</a>(uint8_t size, <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> a_vec[size], <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> b_vec[size],</div>
+<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> a_mul_b_vec[size])</div>
+<div class="line"><a name="l00116"></a><span class="lineno"> 116</span> {</div>
+<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  uint8_t i;</div>
+<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  </div>
+<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  <span class="keywordflow">for</span> (i = 0; i < size; i++) {</div>
+<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  a_mul_b_vec[i] = a_vec[i] * b_vec[i];</div>
+<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  }</div>
+<div class="line"><a name="l00122"></a><span class="lineno"> 122</span> }</div>
+<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  </div>
+<div class="line"><a name="l00124"></a><span class="lineno"><a class="line" href="vector_8c.html#afc68fab0b07c974faf5a457d20b01c58"> 124</a></span> <span class="keywordtype">void</span> <a class="code" href="vector_8c.html#afc68fab0b07c974faf5a457d20b01c58">vector_square</a>(uint8_t n, <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> vec[n], <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> square_vec[n])</div>
+<div class="line"><a name="l00125"></a><span class="lineno"> 125</span> {</div>
+<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < n; i++) {</div>
+<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  square_vec[i] = vec[i] * vec[i];</div>
+<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  }</div>
+<div class="line"><a name="l00129"></a><span class="lineno"> 129</span> }</div>
+<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  </div>
+<div class="line"><a name="l00131"></a><span class="lineno"><a class="line" href="vector_8c.html#a90a92f618957807f90ab1d8a8d9150d4"> 131</a></span> <span class="keywordtype">void</span> <a class="code" href="vector_8c.html#a90a92f618957807f90ab1d8a8d9150d4">vector_in_place_scalar_mul</a>(uint8_t size, <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> a_vec[size],</div>
+<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> scl)</div>
+<div class="line"><a name="l00133"></a><span class="lineno"> 133</span> {</div>
+<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  uint8_t i;</div>
+<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  </div>
+<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  <span class="keywordflow">for</span> (i = 0; i < size; i++) {</div>
+<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  a_vec[i] = scl * a_vec[i];</div>
+<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  }</div>
+<div class="line"><a name="l00139"></a><span class="lineno"> 139</span> }</div>
+<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  </div>
+<div class="line"><a name="l00141"></a><span class="lineno"><a class="line" href="vector_8c.html#a3c0bdd0e463fb34757a71470c55af845"> 141</a></span> <span class="keywordtype">void</span> <a class="code" href="vector_8c.html#a3c0bdd0e463fb34757a71470c55af845">vector_scalar_mul</a>(uint8_t size, <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> src_vec[size], <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> scl,</div>
+<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> dest_vec[])</div>
+<div class="line"><a name="l00143"></a><span class="lineno"> 143</span> {</div>
+<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  uint8_t i;</div>
+<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  </div>
+<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  <span class="keywordflow">for</span> (i = 0; i < size; i++) {</div>
+<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>  dest_vec[i] = scl * src_vec[i];</div>
+<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>  }</div>
+<div class="line"><a name="l00149"></a><span class="lineno"> 149</span> }</div>
+<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>  </div>
+<div class="line"><a name="l00151"></a><span class="lineno"><a class="line" href="vector_8c.html#ae41fee7d298da0645c37ed6af7acea0b"> 151</a></span> <span class="keywordtype">void</span> <a class="code" href="vector_8c.html#ae41fee7d298da0645c37ed6af7acea0b">vector_scalar_div</a>(uint8_t size, <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> a_vec[size], <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> scl)</div>
+<div class="line"><a name="l00152"></a><span class="lineno"> 152</span> {</div>
+<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>  uint8_t i;</div>
+<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>  </div>
+<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  <span class="keywordflow">if</span> (scl != 0) {</div>
+<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>  <span class="keywordflow">for</span> (i = 0; i < size; i++) {</div>
+<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  a_vec[i] = a_vec[i] / scl;</div>
+<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  }</div>
+<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  }</div>
+<div class="line"><a name="l00160"></a><span class="lineno"> 160</span> }</div>
+<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>  </div>
+<div class="line"><a name="l00162"></a><span class="lineno"> 162</span> <span class="comment">//Euclidean distance: d = sum((x-y).^2).^0.5</span></div>
+<div class="line"><a name="l00163"></a><span class="lineno"><a class="line" href="vector_8c.html#abbb6bf046e47a8634c15c43a508cacb9"> 163</a></span> <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> <a class="code" href="vector_8c.html#abbb6bf046e47a8634c15c43a508cacb9">vector_get_euclidean_distance</a>(uint8_t length, <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> vec1[],</div>
+<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> vec2[])</div>
+<div class="line"><a name="l00165"></a><span class="lineno"> 165</span> {</div>
+<div class="line"><a name="l00166"></a><span class="lineno"> 166</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> d = 0.0;</div>
+<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> diff_vec[length];</div>
+<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>  </div>
+<div class="line"><a name="l00169"></a><span class="lineno"> 169</span>  <a class="code" href="vector_8c.html#a3bbd999b10064c2ede2bd427aa040b63">vector_sub</a>(length, vec1, vec2, diff_vec);</div>
+<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>  d = <a class="code" href="vector_8c.html#a4cfc452fdff3e32a601ccff140cd9ae6">vector_get_norm2</a>(length, diff_vec);</div>
+<div class="line"><a name="l00171"></a><span class="lineno"> 171</span>  </div>
+<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>  <span class="keywordflow">return</span> d;</div>
+<div class="line"><a name="l00173"></a><span class="lineno"> 173</span> }</div>
+<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>  </div>
+<div class="line"><a name="l00175"></a><span class="lineno"><a class="line" href="vector_8c.html#a982bc2f9e4755461eac46c6322b4562d"> 175</a></span> <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> <a class="code" href="vector_8c.html#a982bc2f9e4755461eac46c6322b4562d">vector_get_max_and_index</a>(uint8_t length, <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> vec[],</div>
+<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>  uint8_t *index)</div>
+<div class="line"><a name="l00177"></a><span class="lineno"> 177</span> {</div>
+<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> max = vec[0];</div>
+<div class="line"><a name="l00179"></a><span class="lineno"> 179</span>  </div>
+<div class="line"><a name="l00180"></a><span class="lineno"> 180</span>  *index = 0;</div>
+<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>  <span class="keywordflow">for</span> (uint8_t i = 1; i < length; i++) {</div>
+<div class="line"><a name="l00182"></a><span class="lineno"> 182</span>  <span class="keywordflow">if</span> (vec[i] > max) {</div>
+<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>  max = vec[i];</div>
+<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>  *index = *index + 1;</div>
+<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>  }</div>
+<div class="line"><a name="l00186"></a><span class="lineno"> 186</span>  }</div>
+<div class="line"><a name="l00187"></a><span class="lineno"> 187</span>  <span class="keywordflow">return</span> max;</div>
+<div class="line"><a name="l00188"></a><span class="lineno"> 188</span> }</div>
+<div class="line"><a name="l00189"></a><span class="lineno"> 189</span>  </div>
+<div class="line"><a name="l00190"></a><span class="lineno"><a class="line" href="vector_8c.html#a5f4b706c07b9b0f7a4983d80fba99e4e"> 190</a></span> <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> <a class="code" href="vector_8c.html#a5f4b706c07b9b0f7a4983d80fba99e4e">vector_get_scalar_product</a>(uint8_t n, <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> vec1[n],</div>
+<div class="line"><a name="l00191"></a><span class="lineno"> 191</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> vec2[n])</div>
+<div class="line"><a name="l00192"></a><span class="lineno"> 192</span> {</div>
+<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> r = 0;</div>
+<div class="line"><a name="l00194"></a><span class="lineno"> 194</span>  </div>
+<div class="line"><a name="l00195"></a><span class="lineno"> 195</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < n; i++) {</div>
+<div class="line"><a name="l00196"></a><span class="lineno"> 196</span>  r = r + (vec1[i] * vec2[i]);</div>
+<div class="line"><a name="l00197"></a><span class="lineno"> 197</span>  }</div>
+<div class="line"><a name="l00198"></a><span class="lineno"> 198</span>  </div>
+<div class="line"><a name="l00199"></a><span class="lineno"> 199</span>  <span class="keywordflow">return</span> r;</div>
+<div class="line"><a name="l00200"></a><span class="lineno"> 200</span> }</div>
+<div class="line"><a name="l00201"></a><span class="lineno"> 201</span>  </div>
+<div class="line"><a name="l00202"></a><span class="lineno"><a class="line" href="vector_8c.html#af98f2e3896ce7b96d598b11033ac1795"> 202</a></span> <span class="keywordtype">bool</span> <a class="code" href="vector_8c.html#af98f2e3896ce7b96d598b11033ac1795">vector_is_equal</a>(uint16_t length, <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> vec_1[], <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> vec_2[])</div>
+<div class="line"><a name="l00203"></a><span class="lineno"> 203</span> {</div>
+<div class="line"><a name="l00204"></a><span class="lineno"> 204</span>  </div>
+<div class="line"><a name="l00205"></a><span class="lineno"> 205</span>  <span class="keywordflow">for</span> (uint16_t i = 0; i < length; i++) {</div>
+<div class="line"><a name="l00206"></a><span class="lineno"> 206</span>  <span class="keywordflow">if</span> (vec_1[i] != vec_2[i]) {</div>
+<div class="line"><a name="l00207"></a><span class="lineno"> 207</span>  <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
+<div class="line"><a name="l00208"></a><span class="lineno"> 208</span>  }</div>
+<div class="line"><a name="l00209"></a><span class="lineno"> 209</span>  }</div>
+<div class="line"><a name="l00210"></a><span class="lineno"> 210</span>  </div>
+<div class="line"><a name="l00211"></a><span class="lineno"> 211</span>  <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
+<div class="line"><a name="l00212"></a><span class="lineno"> 212</span> }</div>
+<div class="line"><a name="l00213"></a><span class="lineno"> 213</span>  </div>
+<div class="line"><a name="l00214"></a><span class="lineno"><a class="line" href="vector_8c.html#a45dfc0cdad1f1a542df4029b498766ba"> 214</a></span> <span class="keywordtype">void</span> <a class="code" href="vector_8c.html#a45dfc0cdad1f1a542df4029b498766ba">vector_get_index_vector</a>(uint8_t k, uint8_t n, <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> unsorted_vector[n],</div>
+<div class="line"><a name="l00215"></a><span class="lineno"> 215</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> sorted_vector[n], uint8_t index_vector[n])</div>
+<div class="line"><a name="l00216"></a><span class="lineno"> 216</span> {</div>
+<div class="line"><a name="l00217"></a><span class="lineno"> 217</span>  </div>
+<div class="line"><a name="l00218"></a><span class="lineno"> 218</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < k; i++) {</div>
+<div class="line"><a name="l00219"></a><span class="lineno"> 219</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j < n; j++) {</div>
+<div class="line"><a name="l00220"></a><span class="lineno"> 220</span>  <span class="keywordflow">if</span> (unsorted_vector[j] == sorted_vector[i]) {</div>
+<div class="line"><a name="l00221"></a><span class="lineno"> 221</span>  index_vector[i] = j;</div>
+<div class="line"><a name="l00222"></a><span class="lineno"> 222</span>  }</div>
+<div class="line"><a name="l00223"></a><span class="lineno"> 223</span>  }</div>
+<div class="line"><a name="l00224"></a><span class="lineno"> 224</span>  }</div>
+<div class="line"><a name="l00225"></a><span class="lineno"> 225</span> }</div>
+<div class="line"><a name="l00226"></a><span class="lineno"> 226</span>  </div>
+<div class="line"><a name="l00227"></a><span class="lineno"><a class="line" href="vector_8c.html#a1fcbe913017a3b6802d5f66c8ef699ac"> 227</a></span> <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> <a class="code" href="vector_8c.html#a1fcbe913017a3b6802d5f66c8ef699ac">vector_get_residual</a>(uint8_t length, <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> a_vec[], <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> b_vec[])</div>
+<div class="line"><a name="l00228"></a><span class="lineno"> 228</span> {</div>
+<div class="line"><a name="l00229"></a><span class="lineno"> 229</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> diff_vec[length];</div>
+<div class="line"><a name="l00230"></a><span class="lineno"> 230</span>  </div>
+<div class="line"><a name="l00231"></a><span class="lineno"> 231</span>  <a class="code" href="vector_8c.html#a3bbd999b10064c2ede2bd427aa040b63">vector_sub</a>(length, a_vec, b_vec, diff_vec);</div>
+<div class="line"><a name="l00232"></a><span class="lineno"> 232</span>  <span class="keywordflow">return</span> <a class="code" href="vector_8c.html#a4cfc452fdff3e32a601ccff140cd9ae6">vector_get_norm2</a>(length, diff_vec);</div>
+<div class="line"><a name="l00233"></a><span class="lineno"> 233</span> }</div>
+<div class="line"><a name="l00234"></a><span class="lineno"> 234</span>  </div>
+<div class="line"><a name="l00235"></a><span class="lineno"><a class="line" href="vector_8c.html#a1348a041e323e7b333482242b51a7674"> 235</a></span> <span class="keywordtype">void</span> <a class="code" href="vector_8c.html#a1348a041e323e7b333482242b51a7674">vector_get_elements</a>(<a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> src_vec[], uint8_t k, uint8_t index_vec[],</div>
+<div class="line"><a name="l00236"></a><span class="lineno"> 236</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> dst_vec[])</div>
+<div class="line"><a name="l00237"></a><span class="lineno"> 237</span> {</div>
+<div class="line"><a name="l00238"></a><span class="lineno"> 238</span>  <span class="keywordflow">for</span> (uint8_t i = 0; i < k; i++) {</div>
+<div class="line"><a name="l00239"></a><span class="lineno"> 239</span>  dst_vec[i] = src_vec[index_vec[i]];</div>
+<div class="line"><a name="l00240"></a><span class="lineno"> 240</span>  }</div>
+<div class="line"><a name="l00241"></a><span class="lineno"> 241</span> }</div>
+<div class="line"><a name="l00242"></a><span class="lineno"> 242</span>  </div>
+<div class="line"><a name="l00243"></a><span class="lineno"><a class="line" href="vector_8c.html#a421f989647bf55af29c0f55b7f33d35a"> 243</a></span> <span class="keywordtype">bool</span> <a class="code" href="vector_8c.html#a421f989647bf55af29c0f55b7f33d35a">vector_uint32_is_equal</a>(uint32_t length, uint32_t vec_1[], uint32_t vec_2[])</div>
+<div class="line"><a name="l00244"></a><span class="lineno"> 244</span> {</div>
+<div class="line"><a name="l00245"></a><span class="lineno"> 245</span>  </div>
+<div class="line"><a name="l00246"></a><span class="lineno"> 246</span>  <span class="keywordflow">for</span> (uint32_t i = 0; i < length; i++) {</div>
+<div class="line"><a name="l00247"></a><span class="lineno"> 247</span>  <span class="keywordflow">if</span> (vec_1[i] != vec_2[i]) {</div>
+<div class="line"><a name="l00248"></a><span class="lineno"> 248</span>  <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
+<div class="line"><a name="l00249"></a><span class="lineno"> 249</span>  }</div>
+<div class="line"><a name="l00250"></a><span class="lineno"> 250</span>  }</div>
+<div class="line"><a name="l00251"></a><span class="lineno"> 251</span>  </div>
+<div class="line"><a name="l00252"></a><span class="lineno"> 252</span>  <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
+<div class="line"><a name="l00253"></a><span class="lineno"> 253</span> }</div>
+<div class="line"><a name="l00254"></a><span class="lineno"> 254</span>  </div>
+<div class="line"><a name="l00255"></a><span class="lineno"><a class="line" href="vector_8c.html#a8f24286db94dba6ab181edcdfe296262"> 255</a></span> <span class="keywordtype">void</span> <a class="code" href="vector_8c.html#a8f24286db94dba6ab181edcdfe296262">vector_print</a>(uint32_t length, <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> arr[])</div>
+<div class="line"><a name="l00256"></a><span class="lineno"> 256</span> {</div>
+<div class="line"><a name="l00257"></a><span class="lineno"> 257</span>  uint16_t i;</div>
+<div class="line"><a name="l00258"></a><span class="lineno"> 258</span>  </div>
+<div class="line"><a name="l00259"></a><span class="lineno"> 259</span>  printf(<span class="stringliteral">"{"</span>);</div>
+<div class="line"><a name="l00260"></a><span class="lineno"> 260</span>  <span class="keywordflow">for</span> (i = 0; i < length; i++) {</div>
+<div class="line"><a name="l00261"></a><span class="lineno"> 261</span>  printf(<span class="stringliteral">"%5.4f"</span>, arr[i]);</div>
+<div class="line"><a name="l00262"></a><span class="lineno"> 262</span>  <span class="keywordflow">if</span> (i < length - 1) {</div>
+<div class="line"><a name="l00263"></a><span class="lineno"> 263</span>  printf(<span class="stringliteral">", "</span>);</div>
+<div class="line"><a name="l00264"></a><span class="lineno"> 264</span>  }</div>
+<div class="line"><a name="l00265"></a><span class="lineno"> 265</span>  }</div>
+<div class="line"><a name="l00266"></a><span class="lineno"> 266</span>  printf(<span class="stringliteral">"}"</span>);</div>
+<div class="line"><a name="l00267"></a><span class="lineno"> 267</span> }</div>
+<div class="line"><a name="l00268"></a><span class="lineno"> 268</span>  </div>
+<div class="line"><a name="l00269"></a><span class="lineno"><a class="line" href="vector_8c.html#a8ec75dc585746d950ab517e9929f31fe"> 269</a></span> <span class="keywordtype">void</span> <a class="code" href="vector_8c.html#a8ec75dc585746d950ab517e9929f31fe">vector_print_u8_array</a>(uint32_t length, uint8_t arr[])</div>
+<div class="line"><a name="l00270"></a><span class="lineno"> 270</span> {</div>
+<div class="line"><a name="l00271"></a><span class="lineno"> 271</span>  uint32_t i;</div>
+<div class="line"><a name="l00272"></a><span class="lineno"> 272</span>  </div>
+<div class="line"><a name="l00273"></a><span class="lineno"> 273</span>  printf(<span class="stringliteral">"{"</span>);</div>
+<div class="line"><a name="l00274"></a><span class="lineno"> 274</span>  <span class="keywordflow">for</span> (i = 0; i < length; i++) {</div>
+<div class="line"><a name="l00275"></a><span class="lineno"> 275</span>  printf(<span class="stringliteral">"%u"</span>, arr[i]);</div>
+<div class="line"><a name="l00276"></a><span class="lineno"> 276</span>  <span class="keywordflow">if</span> (i < length - 1) {</div>
+<div class="line"><a name="l00277"></a><span class="lineno"> 277</span>  printf(<span class="stringliteral">", "</span>);</div>
+<div class="line"><a name="l00278"></a><span class="lineno"> 278</span>  }</div>
+<div class="line"><a name="l00279"></a><span class="lineno"> 279</span>  }</div>
+<div class="line"><a name="l00280"></a><span class="lineno"> 280</span>  printf(<span class="stringliteral">"}"</span>);</div>
+<div class="line"><a name="l00281"></a><span class="lineno"> 281</span> }</div>
+<div class="line"><a name="l00282"></a><span class="lineno"> 282</span>  </div>
+<div class="line"><a name="l00283"></a><span class="lineno"> 283</span> <span class="comment">// This function is more memory-consuming than vector_print</span></div>
+<div class="line"><a name="l00284"></a><span class="lineno"><a class="line" href="vector_8c.html#ab2827264910e858f238868695a92db4b"> 284</a></span> <span class="keywordtype">void</span> <a class="code" href="vector_8c.html#ab2827264910e858f238868695a92db4b">vector_flex_print</a>(uint32_t length, <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> arr[], uint8_t before_dot,</div>
+<div class="line"><a name="l00285"></a><span class="lineno"> 285</span>  uint8_t after_dot)</div>
+<div class="line"><a name="l00286"></a><span class="lineno"> 286</span> {</div>
+<div class="line"><a name="l00287"></a><span class="lineno"> 287</span>  uint32_t i;</div>
+<div class="line"><a name="l00288"></a><span class="lineno"> 288</span>  <span class="keywordtype">char</span> format_str_buff[13];</div>
+<div class="line"><a name="l00289"></a><span class="lineno"> 289</span>  </div>
+<div class="line"><a name="l00290"></a><span class="lineno"> 290</span>  sprintf(format_str_buff, <span class="stringliteral">"%%%u.%uf"</span>, before_dot, after_dot);</div>
+<div class="line"><a name="l00291"></a><span class="lineno"> 291</span>  printf(<span class="stringliteral">"{"</span>);</div>
+<div class="line"><a name="l00292"></a><span class="lineno"> 292</span>  <span class="keywordflow">for</span> (i = 0; i < length; i++) {</div>
+<div class="line"><a name="l00293"></a><span class="lineno"> 293</span>  <span class="comment">//printf(format_str_buff, arr[i]);</span></div>
+<div class="line"><a name="l00294"></a><span class="lineno"> 294</span>  <a class="code" href="utils_8h.html#a335d8d6c4b945638261228cd116cccd6">utils_printf</a>(format_str_buff, arr[i]);</div>
+<div class="line"><a name="l00295"></a><span class="lineno"> 295</span>  <span class="keywordflow">if</span> (i < length - 1) {</div>
+<div class="line"><a name="l00296"></a><span class="lineno"> 296</span>  printf(<span class="stringliteral">", "</span>);</div>
+<div class="line"><a name="l00297"></a><span class="lineno"> 297</span>  }</div>
+<div class="line"><a name="l00298"></a><span class="lineno"> 298</span>  }</div>
+<div class="line"><a name="l00299"></a><span class="lineno"> 299</span>  printf(<span class="stringliteral">"}"</span>);</div>
+<div class="line"><a name="l00300"></a><span class="lineno"> 300</span>  <span class="comment">//puts("");</span></div>
+<div class="line"><a name="l00301"></a><span class="lineno"> 301</span> }</div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="avector_8c_html_a4cfc452fdff3e32a601ccff140cd9ae6"><div class="ttname"><a href="vector_8c.html#a4cfc452fdff3e32a601ccff140cd9ae6">vector_get_norm2</a></div><div class="ttdeci">vector_t vector_get_norm2(uint8_t length, vector_t arr[])</div><div class="ttdoc">Compute the 2-norm norm of a vector.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00042">vector.c:42</a></div></div>
+<div class="ttc" id="avector_8c_html_a5f4b706c07b9b0f7a4983d80fba99e4e"><div class="ttname"><a href="vector_8c.html#a5f4b706c07b9b0f7a4983d80fba99e4e">vector_get_scalar_product</a></div><div class="ttdeci">vector_t vector_get_scalar_product(uint8_t n, vector_t vec1[n], vector_t vec2[n])</div><div class="ttdoc">Compute the dot product of two vectors.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00190">vector.c:190</a></div></div>
+<div class="ttc" id="avector_8c_html_ab2827264910e858f238868695a92db4b"><div class="ttname"><a href="vector_8c.html#ab2827264910e858f238868695a92db4b">vector_flex_print</a></div><div class="ttdeci">void vector_flex_print(uint32_t length, vector_t arr[], uint8_t before_dot, uint8_t after_dot)</div><div class="ttdoc">Display the values of the vector's elements.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00284">vector.c:284</a></div></div>
+<div class="ttc" id="avector_8c_html_af98f2e3896ce7b96d598b11033ac1795"><div class="ttname"><a href="vector_8c.html#af98f2e3896ce7b96d598b11033ac1795">vector_is_equal</a></div><div class="ttdeci">bool vector_is_equal(uint16_t length, vector_t vec_1[], vector_t vec_2[])</div><div class="ttdoc">Determine the equality of two vectors.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00202">vector.c:202</a></div></div>
+<div class="ttc" id="avector_8c_html_ac4b023769faf53e06c2ed1f2fd928d14"><div class="ttname"><a href="vector_8c.html#ac4b023769faf53e06c2ed1f2fd928d14">vector_clear</a></div><div class="ttdeci">void vector_clear(uint8_t n, vector_t arr[])</div><div class="ttdoc">Clear all the elements of the vector.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00032">vector.c:32</a></div></div>
+<div class="ttc" id="avector_8c_html_a8f24286db94dba6ab181edcdfe296262"><div class="ttname"><a href="vector_8c.html#a8f24286db94dba6ab181edcdfe296262">vector_print</a></div><div class="ttdeci">void vector_print(uint32_t length, vector_t arr[])</div><div class="ttdoc">Display the values of the vector's elements.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00255">vector.c:255</a></div></div>
+<div class="ttc" id="avector_8c_html_a45dfc0cdad1f1a542df4029b498766ba"><div class="ttname"><a href="vector_8c.html#a45dfc0cdad1f1a542df4029b498766ba">vector_get_index_vector</a></div><div class="ttdeci">void vector_get_index_vector(uint8_t k, uint8_t n, vector_t unsorted_vector[n], vector_t sorted_vector[n], uint8_t index_vector[n])</div><div class="ttdoc">Determine the index of the vector elements before sorting.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00214">vector.c:214</a></div></div>
+<div class="ttc" id="avector_8c_html_aab9d7950d4ba03b0e1a23de5b7fae6a6"><div class="ttname"><a href="vector_8c.html#aab9d7950d4ba03b0e1a23de5b7fae6a6">vector_get_square_norm2</a></div><div class="ttdeci">vector_t vector_get_square_norm2(uint8_t length, vector_t arr[])</div><div class="ttdoc">Compute the squared 2-norm norm of a vector .</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00054">vector.c:54</a></div></div>
+<div class="ttc" id="avector_8h_html_acb41430bc5720dda7d1c45d91a0b0221"><div class="ttname"><a href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a></div><div class="ttdeci">#define vector_t</div><div class="ttdoc">Define the data type of the vector elements.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8h_source.html#l00033">vector.h:33</a></div></div>
+<div class="ttc" id="avector_8c_html_a90a92f618957807f90ab1d8a8d9150d4"><div class="ttname"><a href="vector_8c.html#a90a92f618957807f90ab1d8a8d9150d4">vector_in_place_scalar_mul</a></div><div class="ttdeci">void vector_in_place_scalar_mul(uint8_t size, vector_t a_vec[size], vector_t scl)</div><div class="ttdoc">Compute the product of a vector with a real number.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00131">vector.c:131</a></div></div>
+<div class="ttc" id="autils_8h_html"><div class="ttname"><a href="utils_8h.html">utils.h</a></div><div class="ttdoc">Utilities for linear algebra.</div></div>
+<div class="ttc" id="avector_8c_html_a3bbd999b10064c2ede2bd427aa040b63"><div class="ttname"><a href="vector_8c.html#a3bbd999b10064c2ede2bd427aa040b63">vector_sub</a></div><div class="ttdeci">void vector_sub(uint8_t size, vector_t a_vec[], vector_t b_vec[], vector_t a_minus_b[])</div><div class="ttdoc">Compute the subtraction of two vectors.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00094">vector.c:94</a></div></div>
+<div class="ttc" id="avector_8c_html_a982bc2f9e4755461eac46c6322b4562d"><div class="ttname"><a href="vector_8c.html#a982bc2f9e4755461eac46c6322b4562d">vector_get_max_and_index</a></div><div class="ttdeci">vector_t vector_get_max_and_index(uint8_t length, vector_t vec[], uint8_t *index)</div><div class="ttdoc">Compute the maximal value and its index of a vector.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00175">vector.c:175</a></div></div>
+<div class="ttc" id="avector_8c_html_a3c0bdd0e463fb34757a71470c55af845"><div class="ttname"><a href="vector_8c.html#a3c0bdd0e463fb34757a71470c55af845">vector_scalar_mul</a></div><div class="ttdeci">void vector_scalar_mul(uint8_t size, vector_t src_vec[size], vector_t scl, vector_t dest_vec[])</div><div class="ttdoc">Compute the product of a vector with a real number.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00141">vector.c:141</a></div></div>
+<div class="ttc" id="avector_8c_html_ae9d3378f23ba835c727245b434b8a7f6"><div class="ttname"><a href="vector_8c.html#ae9d3378f23ba835c727245b434b8a7f6">vector_copy</a></div><div class="ttdeci">void vector_copy(uint8_t size, vector_t src_arr[], vector_t dest_arr[])</div><div class="ttdoc">Copy the elements of the source vector to the destination vector.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00037">vector.c:37</a></div></div>
+<div class="ttc" id="avector_8c_html_a1348a041e323e7b333482242b51a7674"><div class="ttname"><a href="vector_8c.html#a1348a041e323e7b333482242b51a7674">vector_get_elements</a></div><div class="ttdeci">void vector_get_elements(vector_t src_vec[], uint8_t k, uint8_t index_vec[], vector_t dst_vec[])</div><div class="ttdoc">Get the elements of the vector by an index vector.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00235">vector.c:235</a></div></div>
+<div class="ttc" id="autils_8h_html_a335d8d6c4b945638261228cd116cccd6"><div class="ttname"><a href="utils_8h.html#a335d8d6c4b945638261228cd116cccd6">utils_printf</a></div><div class="ttdeci">void utils_printf(char *format_str,...)</div><div class="ttdoc">Print by using variable format string as well as argument lists.</div><div class="ttdef"><b>Definition:</b> <a href="utils_8c_source.html#l00096">utils.c:96</a></div></div>
+<div class="ttc" id="avector_8c_html_ae41fee7d298da0645c37ed6af7acea0b"><div class="ttname"><a href="vector_8c.html#ae41fee7d298da0645c37ed6af7acea0b">vector_scalar_div</a></div><div class="ttdeci">void vector_scalar_div(uint8_t size, vector_t a_vec[size], vector_t scl)</div><div class="ttdoc">Compute the division of a vector with a real number.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00151">vector.c:151</a></div></div>
+<div class="ttc" id="avector_8c_html_a92917951880002814392c2367896d7a0"><div class="ttname"><a href="vector_8c.html#a92917951880002814392c2367896d7a0">vector_add</a></div><div class="ttdeci">void vector_add(uint8_t size, vector_t a_vec[size], vector_t b_vec[size], vector_t a_plus_b_vec[size])</div><div class="ttdoc">Compute the addition of two vectors.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00104">vector.c:104</a></div></div>
+<div class="ttc" id="avector_8c_html_a1fcbe913017a3b6802d5f66c8ef699ac"><div class="ttname"><a href="vector_8c.html#a1fcbe913017a3b6802d5f66c8ef699ac">vector_get_residual</a></div><div class="ttdeci">vector_t vector_get_residual(uint8_t length, vector_t a_vec[], vector_t b_vec[])</div><div class="ttdoc">Compute the residual of two vectors.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00227">vector.c:227</a></div></div>
+<div class="ttc" id="avector_8c_html_a4a8fae4c69677390016c116123d9eff8"><div class="ttname"><a href="vector_8c.html#a4a8fae4c69677390016c116123d9eff8">vector_get_mean_value</a></div><div class="ttdeci">vector_t vector_get_mean_value(uint8_t length, vector_t arr[])</div><div class="ttdoc">Compute the average or mean value of a vector.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00078">vector.c:78</a></div></div>
+<div class="ttc" id="avector_8c_html_a8ec75dc585746d950ab517e9929f31fe"><div class="ttname"><a href="vector_8c.html#a8ec75dc585746d950ab517e9929f31fe">vector_print_u8_array</a></div><div class="ttdeci">void vector_print_u8_array(uint32_t length, uint8_t arr[])</div><div class="ttdoc">Display the values of the vector's elements of type uint8_t.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00269">vector.c:269</a></div></div>
+<div class="ttc" id="avector_8h_html"><div class="ttname"><a href="vector_8h.html">vector.h</a></div><div class="ttdoc">Vector computations.</div></div>
+<div class="ttc" id="avector_8c_html_a099aa56dd0f260c77afaf8b62b56b2c5"><div class="ttname"><a href="vector_8c.html#a099aa56dd0f260c77afaf8b62b56b2c5">vector_mul</a></div><div class="ttdeci">void vector_mul(uint8_t size, vector_t a_vec[size], vector_t b_vec[size], vector_t a_mul_b_vec[size])</div><div class="ttdoc">Compute the multiplication of two vectors.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00114">vector.c:114</a></div></div>
+<div class="ttc" id="avector_8c_html_afc68fab0b07c974faf5a457d20b01c58"><div class="ttname"><a href="vector_8c.html#afc68fab0b07c974faf5a457d20b01c58">vector_square</a></div><div class="ttdeci">void vector_square(uint8_t n, vector_t vec[n], vector_t square_vec[n])</div><div class="ttdoc">Compute the square of a vector.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00124">vector.c:124</a></div></div>
+<div class="ttc" id="avector_8c_html_af1767c4decdd472ed81035a19cf2152b"><div class="ttname"><a href="vector_8c.html#af1767c4decdd472ed81035a19cf2152b">vector_get_sum</a></div><div class="ttdeci">vector_t vector_get_sum(uint8_t length, vector_t arr[])</div><div class="ttdoc">Compute the sum of the elements of a vector.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00066">vector.c:66</a></div></div>
+<div class="ttc" id="avector_8c_html_a421f989647bf55af29c0f55b7f33d35a"><div class="ttname"><a href="vector_8c.html#a421f989647bf55af29c0f55b7f33d35a">vector_uint32_is_equal</a></div><div class="ttdeci">bool vector_uint32_is_equal(uint32_t length, uint32_t vec_1[], uint32_t vec_2[])</div><div class="ttdoc">Determine the equality of two vectors of type uint32_t.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00243">vector.c:243</a></div></div>
+<div class="ttc" id="avector_8c_html_abbb6bf046e47a8634c15c43a508cacb9"><div class="ttname"><a href="vector_8c.html#abbb6bf046e47a8634c15c43a508cacb9">vector_get_euclidean_distance</a></div><div class="ttdeci">vector_t vector_get_euclidean_distance(uint8_t length, vector_t vec1[], vector_t vec2[])</div><div class="ttdoc">Compute the Euclidean distance between two vectors.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00163">vector.c:163</a></div></div>
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+<a href="#define-members">Macros</a> |
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+ <div class="headertitle">
+<div class="title">vector.h File Reference<div class="ingroups"><a class="el" href="group__linear__algebra.html">LINEAR_ALGEBRA</a> » <a class="el" href="group__basic__operations.html">BASIC_OPERATIONS</a></div></div> </div>
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+<div class="contents">
+
+<p>Vector computations.
+<a href="#details">More...</a></p>
+<div class="textblock"><code>#include <inttypes.h></code><br />
+<code>#include <stdbool.h></code><br />
+</div>
+<p><a href="vector_8h_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="define-members"></a>
+Macros</h2></td></tr>
+<tr class="memitem:acb41430bc5720dda7d1c45d91a0b0221"><td class="memItemLeft" align="right" valign="top"><a id="acb41430bc5720dda7d1c45d91a0b0221"></a>
+#define </td><td class="memItemRight" valign="bottom"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a>   double</td></tr>
+<tr class="memdesc:acb41430bc5720dda7d1c45d91a0b0221"><td class="mdescLeft"> </td><td class="mdescRight">Define the data type of the vector elements. <br /></td></tr>
+<tr class="separator:acb41430bc5720dda7d1c45d91a0b0221"><td class="memSeparator" colspan="2"> </td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a758d38ad9623aa8c385bce765a3b7d17"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="vector_8h.html#a758d38ad9623aa8c385bce765a3b7d17">vector_clear</a> (uint8_t size, <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> arr[])</td></tr>
+<tr class="memdesc:a758d38ad9623aa8c385bce765a3b7d17"><td class="mdescLeft"> </td><td class="mdescRight">Clear all the elements of the vector. <a href="vector_8h.html#a758d38ad9623aa8c385bce765a3b7d17">More...</a><br /></td></tr>
+<tr class="separator:a758d38ad9623aa8c385bce765a3b7d17"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:ae9d3378f23ba835c727245b434b8a7f6"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="vector_8h.html#ae9d3378f23ba835c727245b434b8a7f6">vector_copy</a> (uint8_t size, <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> src_arr[], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> dest_arr[])</td></tr>
+<tr class="memdesc:ae9d3378f23ba835c727245b434b8a7f6"><td class="mdescLeft"> </td><td class="mdescRight">Copy the elements of the source vector to the destination vector. <a href="vector_8h.html#ae9d3378f23ba835c727245b434b8a7f6">More...</a><br /></td></tr>
+<tr class="separator:ae9d3378f23ba835c727245b434b8a7f6"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a4cfc452fdff3e32a601ccff140cd9ae6"><td class="memItemLeft" align="right" valign="top"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="vector_8h.html#a4cfc452fdff3e32a601ccff140cd9ae6">vector_get_norm2</a> (uint8_t length, <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> arr[])</td></tr>
+<tr class="memdesc:a4cfc452fdff3e32a601ccff140cd9ae6"><td class="mdescLeft"> </td><td class="mdescRight">Compute the 2-norm norm of a vector. <a href="vector_8h.html#a4cfc452fdff3e32a601ccff140cd9ae6">More...</a><br /></td></tr>
+<tr class="separator:a4cfc452fdff3e32a601ccff140cd9ae6"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:aab9d7950d4ba03b0e1a23de5b7fae6a6"><td class="memItemLeft" align="right" valign="top"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="vector_8h.html#aab9d7950d4ba03b0e1a23de5b7fae6a6">vector_get_square_norm2</a> (uint8_t length, <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> arr[])</td></tr>
+<tr class="memdesc:aab9d7950d4ba03b0e1a23de5b7fae6a6"><td class="mdescLeft"> </td><td class="mdescRight">Compute the squared 2-norm norm of a vector . <a href="vector_8h.html#aab9d7950d4ba03b0e1a23de5b7fae6a6">More...</a><br /></td></tr>
+<tr class="separator:aab9d7950d4ba03b0e1a23de5b7fae6a6"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:af1767c4decdd472ed81035a19cf2152b"><td class="memItemLeft" align="right" valign="top"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="vector_8h.html#af1767c4decdd472ed81035a19cf2152b">vector_get_sum</a> (uint8_t length, <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> arr[])</td></tr>
+<tr class="memdesc:af1767c4decdd472ed81035a19cf2152b"><td class="mdescLeft"> </td><td class="mdescRight">Compute the sum of the elements of a vector. <a href="vector_8h.html#af1767c4decdd472ed81035a19cf2152b">More...</a><br /></td></tr>
+<tr class="separator:af1767c4decdd472ed81035a19cf2152b"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a4a8fae4c69677390016c116123d9eff8"><td class="memItemLeft" align="right" valign="top"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="vector_8h.html#a4a8fae4c69677390016c116123d9eff8">vector_get_mean_value</a> (uint8_t length, <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> arr[])</td></tr>
+<tr class="memdesc:a4a8fae4c69677390016c116123d9eff8"><td class="mdescLeft"> </td><td class="mdescRight">Compute the average or mean value of a vector. <a href="vector_8h.html#a4a8fae4c69677390016c116123d9eff8">More...</a><br /></td></tr>
+<tr class="separator:a4a8fae4c69677390016c116123d9eff8"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a3bbd999b10064c2ede2bd427aa040b63"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="vector_8h.html#a3bbd999b10064c2ede2bd427aa040b63">vector_sub</a> (uint8_t size, <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> a_vec[], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> b_vec[], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> a_minus_b[])</td></tr>
+<tr class="memdesc:a3bbd999b10064c2ede2bd427aa040b63"><td class="mdescLeft"> </td><td class="mdescRight">Compute the subtraction of two vectors. <a href="vector_8h.html#a3bbd999b10064c2ede2bd427aa040b63">More...</a><br /></td></tr>
+<tr class="separator:a3bbd999b10064c2ede2bd427aa040b63"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a92917951880002814392c2367896d7a0"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="vector_8h.html#a92917951880002814392c2367896d7a0">vector_add</a> (uint8_t size, <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> a_vec[size], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> b_vec[size], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> a_plus_b_vec[size])</td></tr>
+<tr class="memdesc:a92917951880002814392c2367896d7a0"><td class="mdescLeft"> </td><td class="mdescRight">Compute the addition of two vectors. <a href="vector_8h.html#a92917951880002814392c2367896d7a0">More...</a><br /></td></tr>
+<tr class="separator:a92917951880002814392c2367896d7a0"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a099aa56dd0f260c77afaf8b62b56b2c5"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="vector_8h.html#a099aa56dd0f260c77afaf8b62b56b2c5">vector_mul</a> (uint8_t size, <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> a_vec[size], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> b_vec[size], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> a_mul_b_vec[size])</td></tr>
+<tr class="memdesc:a099aa56dd0f260c77afaf8b62b56b2c5"><td class="mdescLeft"> </td><td class="mdescRight">Compute the multiplication of two vectors. <a href="vector_8h.html#a099aa56dd0f260c77afaf8b62b56b2c5">More...</a><br /></td></tr>
+<tr class="separator:a099aa56dd0f260c77afaf8b62b56b2c5"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:afc68fab0b07c974faf5a457d20b01c58"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="vector_8h.html#afc68fab0b07c974faf5a457d20b01c58">vector_square</a> (uint8_t n, <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> vec[n], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> square_vec[n])</td></tr>
+<tr class="memdesc:afc68fab0b07c974faf5a457d20b01c58"><td class="mdescLeft"> </td><td class="mdescRight">Compute the square of a vector. <a href="vector_8h.html#afc68fab0b07c974faf5a457d20b01c58">More...</a><br /></td></tr>
+<tr class="separator:afc68fab0b07c974faf5a457d20b01c58"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a90a92f618957807f90ab1d8a8d9150d4"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="vector_8h.html#a90a92f618957807f90ab1d8a8d9150d4">vector_in_place_scalar_mul</a> (uint8_t size, <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> a_vec[size], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> scl)</td></tr>
+<tr class="memdesc:a90a92f618957807f90ab1d8a8d9150d4"><td class="mdescLeft"> </td><td class="mdescRight">Compute the product of a vector with a real number. <a href="vector_8h.html#a90a92f618957807f90ab1d8a8d9150d4">More...</a><br /></td></tr>
+<tr class="separator:a90a92f618957807f90ab1d8a8d9150d4"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a3c0bdd0e463fb34757a71470c55af845"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="vector_8h.html#a3c0bdd0e463fb34757a71470c55af845">vector_scalar_mul</a> (uint8_t size, <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> src_vec[size], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> scl, <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> dest_vec[])</td></tr>
+<tr class="memdesc:a3c0bdd0e463fb34757a71470c55af845"><td class="mdescLeft"> </td><td class="mdescRight">Compute the product of a vector with a real number. <a href="vector_8h.html#a3c0bdd0e463fb34757a71470c55af845">More...</a><br /></td></tr>
+<tr class="separator:a3c0bdd0e463fb34757a71470c55af845"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:ae41fee7d298da0645c37ed6af7acea0b"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="vector_8h.html#ae41fee7d298da0645c37ed6af7acea0b">vector_scalar_div</a> (uint8_t size, <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> a_vec[size], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> scl)</td></tr>
+<tr class="memdesc:ae41fee7d298da0645c37ed6af7acea0b"><td class="mdescLeft"> </td><td class="mdescRight">Compute the division of a vector with a real number. <a href="vector_8h.html#ae41fee7d298da0645c37ed6af7acea0b">More...</a><br /></td></tr>
+<tr class="separator:ae41fee7d298da0645c37ed6af7acea0b"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:abbb6bf046e47a8634c15c43a508cacb9"><td class="memItemLeft" align="right" valign="top"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="vector_8h.html#abbb6bf046e47a8634c15c43a508cacb9">vector_get_euclidean_distance</a> (uint8_t length, <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> vec1[], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> vec2[])</td></tr>
+<tr class="memdesc:abbb6bf046e47a8634c15c43a508cacb9"><td class="mdescLeft"> </td><td class="mdescRight">Compute the Euclidean distance between two vectors. <a href="vector_8h.html#abbb6bf046e47a8634c15c43a508cacb9">More...</a><br /></td></tr>
+<tr class="separator:abbb6bf046e47a8634c15c43a508cacb9"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a5f4b706c07b9b0f7a4983d80fba99e4e"><td class="memItemLeft" align="right" valign="top"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="vector_8h.html#a5f4b706c07b9b0f7a4983d80fba99e4e">vector_get_scalar_product</a> (uint8_t n, <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> vec1[n], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> vec2[n])</td></tr>
+<tr class="memdesc:a5f4b706c07b9b0f7a4983d80fba99e4e"><td class="mdescLeft"> </td><td class="mdescRight">Compute the dot product of two vectors. <a href="vector_8h.html#a5f4b706c07b9b0f7a4983d80fba99e4e">More...</a><br /></td></tr>
+<tr class="separator:a5f4b706c07b9b0f7a4983d80fba99e4e"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:af98f2e3896ce7b96d598b11033ac1795"><td class="memItemLeft" align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="vector_8h.html#af98f2e3896ce7b96d598b11033ac1795">vector_is_equal</a> (uint16_t length, <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> vec_1[], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> vec_2[])</td></tr>
+<tr class="memdesc:af98f2e3896ce7b96d598b11033ac1795"><td class="mdescLeft"> </td><td class="mdescRight">Determine the equality of two vectors. <a href="vector_8h.html#af98f2e3896ce7b96d598b11033ac1795">More...</a><br /></td></tr>
+<tr class="separator:af98f2e3896ce7b96d598b11033ac1795"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a421f989647bf55af29c0f55b7f33d35a"><td class="memItemLeft" align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="vector_8h.html#a421f989647bf55af29c0f55b7f33d35a">vector_uint32_is_equal</a> (uint32_t length, uint32_t vec_1[], uint32_t vec_2[])</td></tr>
+<tr class="memdesc:a421f989647bf55af29c0f55b7f33d35a"><td class="mdescLeft"> </td><td class="mdescRight">Determine the equality of two vectors of type uint32_t. <a href="vector_8h.html#a421f989647bf55af29c0f55b7f33d35a">More...</a><br /></td></tr>
+<tr class="separator:a421f989647bf55af29c0f55b7f33d35a"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a45dfc0cdad1f1a542df4029b498766ba"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="vector_8h.html#a45dfc0cdad1f1a542df4029b498766ba">vector_get_index_vector</a> (uint8_t k, uint8_t n, <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> unsorted_vector[n], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> sorted_vector[n], uint8_t index_vector[n])</td></tr>
+<tr class="memdesc:a45dfc0cdad1f1a542df4029b498766ba"><td class="mdescLeft"> </td><td class="mdescRight">Determine the index of the vector elements before sorting. <a href="vector_8h.html#a45dfc0cdad1f1a542df4029b498766ba">More...</a><br /></td></tr>
+<tr class="separator:a45dfc0cdad1f1a542df4029b498766ba"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a982bc2f9e4755461eac46c6322b4562d"><td class="memItemLeft" align="right" valign="top"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="vector_8h.html#a982bc2f9e4755461eac46c6322b4562d">vector_get_max_and_index</a> (uint8_t length, <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> vec[], uint8_t *index)</td></tr>
+<tr class="memdesc:a982bc2f9e4755461eac46c6322b4562d"><td class="mdescLeft"> </td><td class="mdescRight">Compute the maximal value and its index of a vector. <a href="vector_8h.html#a982bc2f9e4755461eac46c6322b4562d">More...</a><br /></td></tr>
+<tr class="separator:a982bc2f9e4755461eac46c6322b4562d"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a1fcbe913017a3b6802d5f66c8ef699ac"><td class="memItemLeft" align="right" valign="top"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="vector_8h.html#a1fcbe913017a3b6802d5f66c8ef699ac">vector_get_residual</a> (uint8_t length, <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> a_vec[], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> b_vec[])</td></tr>
+<tr class="memdesc:a1fcbe913017a3b6802d5f66c8ef699ac"><td class="mdescLeft"> </td><td class="mdescRight">Compute the residual of two vectors. <a href="vector_8h.html#a1fcbe913017a3b6802d5f66c8ef699ac">More...</a><br /></td></tr>
+<tr class="separator:a1fcbe913017a3b6802d5f66c8ef699ac"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a1348a041e323e7b333482242b51a7674"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="vector_8h.html#a1348a041e323e7b333482242b51a7674">vector_get_elements</a> (<a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> src_vec[], uint8_t k, uint8_t index_vec[], <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> dst_vec[])</td></tr>
+<tr class="memdesc:a1348a041e323e7b333482242b51a7674"><td class="mdescLeft"> </td><td class="mdescRight">Get the elements of the vector by an index vector. <a href="vector_8h.html#a1348a041e323e7b333482242b51a7674">More...</a><br /></td></tr>
+<tr class="separator:a1348a041e323e7b333482242b51a7674"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a8f24286db94dba6ab181edcdfe296262"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="vector_8h.html#a8f24286db94dba6ab181edcdfe296262">vector_print</a> (uint32_t length, <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> arr[])</td></tr>
+<tr class="memdesc:a8f24286db94dba6ab181edcdfe296262"><td class="mdescLeft"> </td><td class="mdescRight">Display the values of the vector's elements. <a href="vector_8h.html#a8f24286db94dba6ab181edcdfe296262">More...</a><br /></td></tr>
+<tr class="separator:a8f24286db94dba6ab181edcdfe296262"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a8ec75dc585746d950ab517e9929f31fe"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="vector_8h.html#a8ec75dc585746d950ab517e9929f31fe">vector_print_u8_array</a> (uint32_t length, uint8_t arr[])</td></tr>
+<tr class="memdesc:a8ec75dc585746d950ab517e9929f31fe"><td class="mdescLeft"> </td><td class="mdescRight">Display the values of the vector's elements of type uint8_t. <a href="vector_8h.html#a8ec75dc585746d950ab517e9929f31fe">More...</a><br /></td></tr>
+<tr class="separator:a8ec75dc585746d950ab517e9929f31fe"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:ab2827264910e858f238868695a92db4b"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="vector_8h.html#ab2827264910e858f238868695a92db4b">vector_flex_print</a> (uint32_t length, <a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> arr[], uint8_t before_dot, uint8_t after_dot)</td></tr>
+<tr class="memdesc:ab2827264910e858f238868695a92db4b"><td class="mdescLeft"> </td><td class="mdescRight">Display the values of the vector's elements. <a href="vector_8h.html#ab2827264910e858f238868695a92db4b">More...</a><br /></td></tr>
+<tr class="separator:ab2827264910e858f238868695a92db4b"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Vector computations. </p>
+<p>Vector computations include operations such as addition, subtraction, and inner product (dot product).</p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="vector_8h_source.html">vector.h</a>.</p>
+</div><h2 class="groupheader">Function Documentation</h2>
+<a id="a92917951880002814392c2367896d7a0"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a92917951880002814392c2367896d7a0">◆ </a></span>vector_add()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void vector_add </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>size</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>a_vec</em>[size], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>b_vec</em>[size], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>a_plus_b_vec</em>[size] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute the addition of two vectors. </p>
+<p>Add b_vec to a_vec and return the result in a_plus_b.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">size</td><td>number of elements to subtract. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">a_vec[]</td><td>pointer to the first vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">b_vec[]</td><td>pointer to the second vector. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">a_plus_b_vec[]</td><td>pointer to the destination vector. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="vector_8c_source.html#l00104">104</a> of file <a class="el" href="vector_8c_source.html">vector.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="damped__newton__raphson_8c_source.html#l00032">damped_newton_raphson()</a>, <a class="el" href="loc__levenberg__marquardt_8c_source.html#l00126">loc_levenberg_marquardt()</a>, <a class="el" href="loc__levenberg__marquardt_8c_source.html#l00034">loc_levenberg_marquardt_correction()</a>, <a class="el" href="levenberg__marquardt_8c_source.html#l00143">opt_levenberg_marquardt()</a>, <a class="el" href="levenberg__marquardt_8c_source.html#l00053">opt_levenberg_marquardt_correction()</a>, and <a class="el" href="vector__test_8c_source.html#l00030">vector_test()</a>.</p>
+
+</div>
+</div>
+<a id="a758d38ad9623aa8c385bce765a3b7d17"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a758d38ad9623aa8c385bce765a3b7d17">◆ </a></span>vector_clear()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void vector_clear </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>size</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>arr</em>[] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Clear all the elements of the vector. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">size</td><td>size of the vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">arr[]</td><td>pointer to the vector. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="vector_8c_source.html#l00032">32</a> of file <a class="el" href="vector_8c_source.html">vector.c</a>.</p>
+
+<p class="reference">References <a class="el" href="vector_8h_source.html#l00033">vector_t</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="dist__based__jacobian_8c_source.html#l00028">dist_based_jacobian_get_JTf()</a>, <a class="el" href="fsolve__test_8c_source.html#l00245">fsolve_test()</a>, <a class="el" href="optimization__test_8c_source.html#l00264">optimization_exponential_data_test()</a>, <a class="el" href="optimization__test_8c_source.html#l00376">optimization_sinusoidal_data_test()</a>, <a class="el" href="optimization__test_8c_source.html#l00101">optimization_test()</a>, <a class="el" href="position__optimization__test_8c_source.html#l00037">position_optimization_test()</a>, and <a class="el" href="vector__test_8c_source.html#l00030">vector_test()</a>.</p>
+
+</div>
+</div>
+<a id="ae9d3378f23ba835c727245b434b8a7f6"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#ae9d3378f23ba835c727245b434b8a7f6">◆ </a></span>vector_copy()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void vector_copy </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>size</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>src_arr</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>dest_arr</em>[] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Copy the elements of the source vector to the destination vector. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">size</td><td>number of elements to copy. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">src_arr[]</td><td>pointer to the source vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">dest_arr[]</td><td>pointer to the destination vector. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="vector_8c_source.html#l00037">37</a> of file <a class="el" href="vector_8c_source.html">vector.c</a>.</p>
+
+<p class="reference">References <a class="el" href="vector_8h_source.html#l00033">vector_t</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="damped__newton__raphson_8c_source.html#l00032">damped_newton_raphson()</a>, <a class="el" href="loc__gauss__newton_8c_source.html#l00030">loc_gauss_newton()</a>, <a class="el" href="loc__levenberg__marquardt_8c_source.html#l00126">loc_levenberg_marquardt()</a>, <a class="el" href="modified__gauss__newton_8c_source.html#l00032">modified_gauss_newton()</a>, <a class="el" href="multipath__algo__own__norm__distr__test_8c_source.html#l00038">multipath_algo_own_norm_distr_test()</a>, <a class="el" href="newton__raphson_8c_source.html#l00028">newton_raphson()</a>, <a class="el" href="levenberg__marquardt_8c_source.html#l00143">opt_levenberg_marquardt()</a>, <a class="el" href="multipath__dist__detection__mitigation_8c_source.html#l00133">recog_mitigate_multipath()</a>, and <a class="el" href="vector__test_8c_source.html#l00030">vector_test()</a>.</p>
+
+</div>
+</div>
+<a id="ab2827264910e858f238868695a92db4b"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#ab2827264910e858f238868695a92db4b">◆ </a></span>vector_flex_print()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void vector_flex_print </td>
+ <td>(</td>
+ <td class="paramtype">uint32_t </td>
+ <td class="paramname"><em>length</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>arr</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>before_dot</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>after_dot</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Display the values of the vector's elements. </p>
+<p>This function allows the user to determine the precision as well as the with of the numbers to display.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">length</td><td>size of the vector to display. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">arr</td><td>pointer to the vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">before_dot</td><td>the number of digits to be printed before the decimal point. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">after_dot</td><td>the number of digits to be printed after the decimal point. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="vector_8c_source.html#l00284">284</a> of file <a class="el" href="vector_8c_source.html">vector.c</a>.</p>
+
+<p class="reference">References <a class="el" href="utils_8c_source.html#l00096">utils_printf()</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="distance__based__test_8c_source.html#l00032">distance_based_test()</a>, <a class="el" href="fsolve__test_8c_source.html#l00245">fsolve_test()</a>, <a class="el" href="magnetic__based__position_8c_source.html#l00062">magnetic_based_get_magnetic_field()</a>, <a class="el" href="magnetic__based__test_8c_source.html#l00034">magnetic_based_test()</a>, <a class="el" href="multipath__algo__own__norm__distr__test_8c_source.html#l00038">multipath_algo_own_norm_distr_test()</a>, <a class="el" href="optimization__test_8c_source.html#l00101">optimization_test()</a>, <a class="el" href="position__optimization__test_8c_source.html#l00037">position_optimization_test()</a>, <a class="el" href="solve__test_8c_source.html#l00216">solve_big_matrix_test()</a>, <a class="el" href="solve__test_8c_source.html#l00029">solve_test()</a>, <a class="el" href="utils__test_8c_source.html#l00028">utils_test()</a>, and <a class="el" href="vector__test_8c_source.html#l00030">vector_test()</a>.</p>
+
+</div>
+</div>
+<a id="a1348a041e323e7b333482242b51a7674"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a1348a041e323e7b333482242b51a7674">◆ </a></span>vector_get_elements()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void vector_get_elements </td>
+ <td>(</td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>src_vec</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>k</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>index_vec</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>dst_vec</em>[] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Get the elements of the vector by an index vector. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">src_vec[]</td><td>pointer to source vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">k</td><td>size of the index vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">index_vec[]</td><td>pointer to the index vector. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">dst_vec[]</td><td>pointer to the destination vector </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="vector_8c_source.html#l00235">235</a> of file <a class="el" href="vector_8c_source.html">vector.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="multipath__algo__own__norm__distr__test_8c_source.html#l00038">multipath_algo_own_norm_distr_test()</a>.</p>
+
+</div>
+</div>
+<a id="abbb6bf046e47a8634c15c43a508cacb9"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#abbb6bf046e47a8634c15c43a508cacb9">◆ </a></span>vector_get_euclidean_distance()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> vector_get_euclidean_distance </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>length</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>vec1</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>vec2</em>[] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute the Euclidean distance between two vectors. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">length</td><td>size of the vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">vec1[]</td><td>pointer to the first vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">vec2[]</td><td>pointer to the second vector.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the Euclidean distance. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="vector_8c_source.html#l00163">163</a> of file <a class="el" href="vector_8c_source.html">vector.c</a>.</p>
+
+<p class="reference">References <a class="el" href="vector_8c_source.html#l00042">vector_get_norm2()</a>, <a class="el" href="vector_8c_source.html#l00094">vector_sub()</a>, and <a class="el" href="vector_8h_source.html#l00033">vector_t</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="loc__gauss__newton_8c_source.html#l00030">loc_gauss_newton()</a>, <a class="el" href="modified__gauss__newton_8c_source.html#l00032">modified_gauss_newton()</a>, <a class="el" href="newton__raphson_8c_source.html#l00028">newton_raphson()</a>, and <a class="el" href="vector__test_8c_source.html#l00030">vector_test()</a>.</p>
+
+</div>
+</div>
+<a id="a45dfc0cdad1f1a542df4029b498766ba"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a45dfc0cdad1f1a542df4029b498766ba">◆ </a></span>vector_get_index_vector()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void vector_get_index_vector </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>k</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>unsorted_vector</em>[n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>sorted_vector</em>[n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>index_vector</em>[n] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Determine the index of the vector elements before sorting. </p>
+<p>Determine the index of the elements of a sorted vector. These indices correspond to the positions of the elements in the unsorted vector.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">k</td><td>size of the unsorted vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>size of the sorted vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">unsorted_vector[]</td><td>pointer to the unsorted vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">sorted_vector[]</td><td>pointer to the sorted vector. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">index_vector[]</td><td>pointer to the index vector. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="vector_8c_source.html#l00214">214</a> of file <a class="el" href="vector_8c_source.html">vector.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="multipath__dist__detection__mitigation_8c_source.html#l00133">recog_mitigate_multipath()</a>.</p>
+
+</div>
+</div>
+<a id="a982bc2f9e4755461eac46c6322b4562d"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a982bc2f9e4755461eac46c6322b4562d">◆ </a></span>vector_get_max_and_index()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> vector_get_max_and_index </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>length</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>vec</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t * </td>
+ <td class="paramname"><em>index</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute the maximal value and its index of a vector. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">length</td><td>vector size. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">vec[]</td><td>pointer to the vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">index</td><td>pointer to the index.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the maximal value of the vector. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="vector_8c_source.html#l00175">175</a> of file <a class="el" href="vector_8c_source.html">vector.c</a>.</p>
+
+<p class="reference">References <a class="el" href="vector_8h_source.html#l00033">vector_t</a>.</p>
+
+</div>
+</div>
+<a id="a4a8fae4c69677390016c116123d9eff8"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a4a8fae4c69677390016c116123d9eff8">◆ </a></span>vector_get_mean_value()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> vector_get_mean_value </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>length</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>arr</em>[] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute the average or mean value of a vector. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">length</td><td>size of the vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">arr[]</td><td>pointer to the vector.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the mean value of the vector. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="vector_8c_source.html#l00078">78</a> of file <a class="el" href="vector_8c_source.html">vector.c</a>.</p>
+
+<p class="reference">References <a class="el" href="vector_8h_source.html#l00033">vector_t</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="vector__test_8c_source.html#l00030">vector_test()</a>.</p>
+
+</div>
+</div>
+<a id="a4cfc452fdff3e32a601ccff140cd9ae6"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a4cfc452fdff3e32a601ccff140cd9ae6">◆ </a></span>vector_get_norm2()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> vector_get_norm2 </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>length</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>arr</em>[] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute the 2-norm norm of a vector. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">length</td><td>size of the vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">arr[]</td><td>pointer to the vector.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the 2-norm of the vector. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="vector_8c_source.html#l00042">42</a> of file <a class="el" href="vector_8c_source.html">vector.c</a>.</p>
+
+<p class="reference">References <a class="el" href="vector_8h_source.html#l00033">vector_t</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="damped__newton__raphson_8c_source.html#l00032">damped_newton_raphson()</a>, <a class="el" href="dist__based__position_8c_source.html#l00045">dist_based_get_distance_to_anchor()</a>, <a class="el" href="damped__newton__raphson_8c_source.html#l00104">get_damped_norm()</a>, <a class="el" href="loc__gauss__newton_8c_source.html#l00030">loc_gauss_newton()</a>, <a class="el" href="loc__levenberg__marquardt_8c_source.html#l00126">loc_levenberg_marquardt()</a>, <a class="el" href="magnetic__based__position_8c_source.html#l00050">magnetic_based_get_distances_to_anchors()</a>, <a class="el" href="modified__gauss__newton_8c_source.html#l00032">modified_gauss_newton()</a>, <a class="el" href="levenberg__marquardt_8c_source.html#l00143">opt_levenberg_marquardt()</a>, <a class="el" href="multipath__dist__detection__mitigation_8c_source.html#l00133">recog_mitigate_multipath()</a>, <a class="el" href="vector_8c_source.html#l00163">vector_get_euclidean_distance()</a>, <a class="el" href="vector_8c_source.html#l00227">vector_get_residual()</a>, and <a class="el" href="vector__test_8c_source.html#l00030">vector_test()</a>.</p>
+
+</div>
+</div>
+<a id="a1fcbe913017a3b6802d5f66c8ef699ac"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a1fcbe913017a3b6802d5f66c8ef699ac">◆ </a></span>vector_get_residual()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> vector_get_residual </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>length</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>a_vec</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>b_vec</em>[] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute the residual of two vectors. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">length</td><td>vector size. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">a_vec[]</td><td>pointer to the first vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">b_vec[]</td><td>pointer to the second vector.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the residual of the two vectors. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="vector_8c_source.html#l00227">227</a> of file <a class="el" href="vector_8c_source.html">vector.c</a>.</p>
+
+<p class="reference">References <a class="el" href="vector_8c_source.html#l00042">vector_get_norm2()</a>, <a class="el" href="vector_8c_source.html#l00094">vector_sub()</a>, and <a class="el" href="vector_8h_source.html#l00033">vector_t</a>.</p>
+
+</div>
+</div>
+<a id="a5f4b706c07b9b0f7a4983d80fba99e4e"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a5f4b706c07b9b0f7a4983d80fba99e4e">◆ </a></span>vector_get_scalar_product()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> vector_get_scalar_product </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>vec1</em>[n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>vec2</em>[n] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute the dot product of two vectors. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>size of the vectors. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">vec1[]</td><td>pointer to the first vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">vec2[]</td><td>pointer to the second vector.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the scalar product of two vectors. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="vector_8c_source.html#l00190">190</a> of file <a class="el" href="vector_8c_source.html">vector.c</a>.</p>
+
+<p class="reference">References <a class="el" href="vector_8h_source.html#l00033">vector_t</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="loc__levenberg__marquardt_8c_source.html#l00034">loc_levenberg_marquardt_correction()</a>, <a class="el" href="levenberg__marquardt_8c_source.html#l00053">opt_levenberg_marquardt_correction()</a>, and <a class="el" href="vector__test_8c_source.html#l00030">vector_test()</a>.</p>
+
+</div>
+</div>
+<a id="aab9d7950d4ba03b0e1a23de5b7fae6a6"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#aab9d7950d4ba03b0e1a23de5b7fae6a6">◆ </a></span>vector_get_square_norm2()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> vector_get_square_norm2 </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>length</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>arr</em>[] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute the squared 2-norm norm of a vector . </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">length</td><td>size of the vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">arr[]</td><td>pointer to the vector.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the squared 2-norm of the vector. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="vector_8c_source.html#l00054">54</a> of file <a class="el" href="vector_8c_source.html">vector.c</a>.</p>
+
+<p class="reference">References <a class="el" href="vector_8h_source.html#l00033">vector_t</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="vector__test_8c_source.html#l00030">vector_test()</a>.</p>
+
+</div>
+</div>
+<a id="af1767c4decdd472ed81035a19cf2152b"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#af1767c4decdd472ed81035a19cf2152b">◆ </a></span>vector_get_sum()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> vector_get_sum </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>length</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>arr</em>[] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute the sum of the elements of a vector. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">length</td><td>size of the vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">arr[]</td><td>pointer to the vector.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the sum of the elements of the vector. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="vector_8c_source.html#l00066">66</a> of file <a class="el" href="vector_8c_source.html">vector.c</a>.</p>
+
+<p class="reference">References <a class="el" href="vector_8h_source.html#l00033">vector_t</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="vector__test_8c_source.html#l00030">vector_test()</a>.</p>
+
+</div>
+</div>
+<a id="a90a92f618957807f90ab1d8a8d9150d4"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a90a92f618957807f90ab1d8a8d9150d4">◆ </a></span>vector_in_place_scalar_mul()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void vector_in_place_scalar_mul </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>size</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>a_vec</em>[size], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>scl</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute the product of a vector with a real number. </p>
+<p>Multiple the elements of a vector with a scalar and return the result in the vector itself.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">size</td><td>number of elements to multiply with a scalar. </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">a_vec[]</td><td>pointer to the source/destination vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">scl</td><td>a scalar. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="vector_8c_source.html#l00131">131</a> of file <a class="el" href="vector_8c_source.html">vector.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="damped__newton__raphson_8c_source.html#l00120">get_delta_x()</a>.</p>
+
+</div>
+</div>
+<a id="af98f2e3896ce7b96d598b11033ac1795"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#af98f2e3896ce7b96d598b11033ac1795">◆ </a></span>vector_is_equal()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">bool vector_is_equal </td>
+ <td>(</td>
+ <td class="paramtype">uint16_t </td>
+ <td class="paramname"><em>length</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>vec_1</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>vec_2</em>[] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Determine the equality of two vectors. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">length</td><td>size of the vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">vec_1[]</td><td>pointer to the first vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">vec_2[]</td><td>pointer to the second vector.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>true, if the two vectors are equal. </dd>
+<dd>
+false, if not. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="vector_8c_source.html#l00202">202</a> of file <a class="el" href="vector_8c_source.html">vector.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="vector__test_8c_source.html#l00030">vector_test()</a>.</p>
+
+</div>
+</div>
+<a id="a099aa56dd0f260c77afaf8b62b56b2c5"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a099aa56dd0f260c77afaf8b62b56b2c5">◆ </a></span>vector_mul()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void vector_mul </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>size</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>a_vec</em>[size], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>b_vec</em>[size], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>a_mul_b_vec</em>[size] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute the multiplication of two vectors. </p>
+<p>Multiple vectors a_vec and b_vec element by element and return the result in a_mul_b.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">size</td><td>number of elements to multiply. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">a_vec[]</td><td>pointer to the first vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">b_vec[]</td><td>pointer to the second vector. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">a_mul_b_vec[]</td><td>pointer to the destination vector. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="vector_8c_source.html#l00114">114</a> of file <a class="el" href="vector_8c_source.html">vector.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="vector__test_8c_source.html#l00030">vector_test()</a>.</p>
+
+</div>
+</div>
+<a id="a8f24286db94dba6ab181edcdfe296262"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a8f24286db94dba6ab181edcdfe296262">◆ </a></span>vector_print()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void vector_print </td>
+ <td>(</td>
+ <td class="paramtype">uint32_t </td>
+ <td class="paramname"><em>length</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>arr</em>[] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Display the values of the vector's elements. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">length</td><td>size of the vector to display. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">arr</td><td>pointer to the vector. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="vector_8c_source.html#l00255">255</a> of file <a class="el" href="vector_8c_source.html">vector.c</a>.</p>
+
+</div>
+</div>
+<a id="a8ec75dc585746d950ab517e9929f31fe"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a8ec75dc585746d950ab517e9929f31fe">◆ </a></span>vector_print_u8_array()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void vector_print_u8_array </td>
+ <td>(</td>
+ <td class="paramtype">uint32_t </td>
+ <td class="paramname"><em>length</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>arr</em>[] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Display the values of the vector's elements of type uint8_t. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">length</td><td>size of the vector to display. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">arr</td><td>pointer to the vector. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="vector_8c_source.html#l00269">269</a> of file <a class="el" href="vector_8c_source.html">vector.c</a>.</p>
+
+</div>
+</div>
+<a id="ae41fee7d298da0645c37ed6af7acea0b"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#ae41fee7d298da0645c37ed6af7acea0b">◆ </a></span>vector_scalar_div()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void vector_scalar_div </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>size</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>a_vec</em>[size], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>scl</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute the division of a vector with a real number. </p>
+<p>Divide the elements of a vector with a scalar and return the result in the vector itself.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">size</td><td>number of elements to divide with a scalar. </td></tr>
+ <tr><td class="paramdir">[in,out]</td><td class="paramname">a_vec[]</td><td>pointer to the source/destination vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">scl</td><td>a scalar. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="vector_8c_source.html#l00151">151</a> of file <a class="el" href="vector_8c_source.html">vector.c</a>.</p>
+
+</div>
+</div>
+<a id="a3c0bdd0e463fb34757a71470c55af845"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a3c0bdd0e463fb34757a71470c55af845">◆ </a></span>vector_scalar_mul()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void vector_scalar_mul </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>size</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>src_vec</em>[size], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>scl</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>dest_vec</em>[] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute the product of a vector with a real number. </p>
+<p>Multiple the elements of a vector with a scalar and return the result in other vector.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">size</td><td>number of elements to multiply with a scalar. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">src_vec[]</td><td>pointer to the source vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">scl</td><td>a scalar. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">dest_vec</td><td>pointer to the destination vector. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="vector_8c_source.html#l00141">141</a> of file <a class="el" href="vector_8c_source.html">vector.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="damped__newton__raphson_8c_source.html#l00032">damped_newton_raphson()</a>.</p>
+
+</div>
+</div>
+<a id="afc68fab0b07c974faf5a457d20b01c58"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#afc68fab0b07c974faf5a457d20b01c58">◆ </a></span>vector_square()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void vector_square </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>n</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>vec</em>[n], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>square_vec</em>[n] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute the square of a vector. </p>
+<p>Square the elements of vector vec and return the result in square_vec.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>number of elements to square. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">vec[]</td><td>pointer to the source vector. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">square_vec[]</td><td>pointer to the destination vector. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="vector_8c_source.html#l00124">124</a> of file <a class="el" href="vector_8c_source.html">vector.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="multipath__dist__detection__mitigation_8c_source.html#l00133">recog_mitigate_multipath()</a>.</p>
+
+</div>
+</div>
+<a id="a3bbd999b10064c2ede2bd427aa040b63"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a3bbd999b10064c2ede2bd427aa040b63">◆ </a></span>vector_sub()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void vector_sub </td>
+ <td>(</td>
+ <td class="paramtype">uint8_t </td>
+ <td class="paramname"><em>size</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>a_vec</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>b_vec</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype"><a class="el" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> </td>
+ <td class="paramname"><em>a_minus_b</em>[] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Compute the subtraction of two vectors. </p>
+<p>Substact b_vec from a_vec and return the result in a_minus_b.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">size</td><td>number of elements to subtract. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">a_vec[]</td><td>pointer to the first vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">b_vec[]</td><td>pointer to the second vector. </td></tr>
+ <tr><td class="paramdir">[out]</td><td class="paramname">a_minus_b[]</td><td>pointer to the destination vector. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+<p class="definition">Definition at line <a class="el" href="vector_8c_source.html#l00094">94</a> of file <a class="el" href="vector_8c_source.html">vector.c</a>.</p>
+
+<p class="reference">Referenced by <a class="el" href="dist__based__position_8c_source.html#l00045">dist_based_get_distance_to_anchor()</a>, <a class="el" href="loc__gauss__newton_8c_source.html#l00030">loc_gauss_newton()</a>, <a class="el" href="magnetic__based__position_8c_source.html#l00050">magnetic_based_get_distances_to_anchors()</a>, <a class="el" href="modified__gauss__newton_8c_source.html#l00032">modified_gauss_newton()</a>, <a class="el" href="newton__raphson_8c_source.html#l00028">newton_raphson()</a>, <a class="el" href="multipath__dist__detection__mitigation_8c_source.html#l00133">recog_mitigate_multipath()</a>, <a class="el" href="vector_8c_source.html#l00163">vector_get_euclidean_distance()</a>, <a class="el" href="vector_8c_source.html#l00227">vector_get_residual()</a>, and <a class="el" href="vector__test_8c_source.html#l00030">vector_test()</a>.</p>
+
+</div>
+</div>
+<a id="a421f989647bf55af29c0f55b7f33d35a"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a421f989647bf55af29c0f55b7f33d35a">◆ </a></span>vector_uint32_is_equal()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">bool vector_uint32_is_equal </td>
+ <td>(</td>
+ <td class="paramtype">uint32_t </td>
+ <td class="paramname"><em>length</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint32_t </td>
+ <td class="paramname"><em>vec_1</em>[], </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">uint32_t </td>
+ <td class="paramname"><em>vec_2</em>[] </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+<p>Determine the equality of two vectors of type uint32_t. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramdir">[in]</td><td class="paramname">length</td><td>size of the vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">vec_1[]</td><td>pointer to the first vector. </td></tr>
+ <tr><td class="paramdir">[in]</td><td class="paramname">vec_2[]</td><td>pointer to the second vector.</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>true, if the two vectors are equal. </dd>
+<dd>
+false, if not. </dd></dl>
+
+<p class="definition">Definition at line <a class="el" href="vector_8c_source.html#l00243">243</a> of file <a class="el" href="vector_8c_source.html">vector.c</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ <li class="navelem"><a class="el" href="dir_8c4128baa09a573ad2b8b8c0061a04c9.html">linear_algebra</a></li><li class="navelem"><a class="el" href="dir_c416454c2678f04387f9348cb110b9ee.html">basic_operations</a></li><li class="navelem"><a class="el" href="dir_e663cf436b7a4f65fdac82a5d77479a9.html">include</a></li><li class="navelem"><a class="el" href="vector_8h.html">vector.h</a></li>
+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.16 </li>
+ </ul>
+</div>
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+ [ "vector_get_residual", "vector_8h.html#a1fcbe913017a3b6802d5f66c8ef699ac", null ],
+ [ "vector_get_scalar_product", "vector_8h.html#a5f4b706c07b9b0f7a4983d80fba99e4e", null ],
+ [ "vector_get_square_norm2", "vector_8h.html#aab9d7950d4ba03b0e1a23de5b7fae6a6", null ],
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+ <div id="projectbrief">Open Source Library for Linear and Non-linear Algebra</div>
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+<div class="title">vector.h</div> </div>
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+<div class="contents">
+<a href="vector_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="preprocessor">#ifndef VECTOR_H_</span></div>
+<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#define VECTOR_H_</span></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="preprocessor">#include <inttypes.h></span></div>
+<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="preprocessor">#include <stdbool.h></span></div>
+<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>  </div>
+<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="comment">//#define vector_t float</span></div>
+<div class="line"><a name="l00032"></a><span class="lineno"> 32</span> <span class="preprocessor">#ifndef vector_t</span></div>
+<div class="line"><a name="l00033"></a><span class="lineno"><a class="line" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221"> 33</a></span> <span class="preprocessor">#define vector_t double</span></div>
+<div class="line"><a name="l00034"></a><span class="lineno"> 34</span> <span class="preprocessor">#endif</span></div>
+<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  </div>
+<div class="line"><a name="l00043"></a><span class="lineno"> 43</span> <span class="keywordtype">void</span> <a class="code" href="vector_8h.html#a758d38ad9623aa8c385bce765a3b7d17">vector_clear</a>(uint8_t size, <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> arr[]);</div>
+<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  </div>
+<div class="line"><a name="l00053"></a><span class="lineno"> 53</span> <span class="keywordtype">void</span> <a class="code" href="vector_8h.html#ae9d3378f23ba835c727245b434b8a7f6">vector_copy</a>(uint8_t size, <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> src_arr[], <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> dest_arr[]);</div>
+<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  </div>
+<div class="line"><a name="l00062"></a><span class="lineno"> 62</span> <span class="keywordtype">void</span> <a class="code" href="vector_8h.html#a758d38ad9623aa8c385bce765a3b7d17">vector_clear</a>(uint8_t size, <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> arr[]);</div>
+<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  </div>
+<div class="line"><a name="l00073"></a><span class="lineno"> 73</span> <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> <a class="code" href="vector_8h.html#a4cfc452fdff3e32a601ccff140cd9ae6">vector_get_norm2</a>(uint8_t length, <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> arr[]);</div>
+<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  </div>
+<div class="line"><a name="l00084"></a><span class="lineno"> 84</span> <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> <a class="code" href="vector_8h.html#aab9d7950d4ba03b0e1a23de5b7fae6a6">vector_get_square_norm2</a>(uint8_t length, <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> arr[]);</div>
+<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  </div>
+<div class="line"><a name="l00095"></a><span class="lineno"> 95</span> <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> <a class="code" href="vector_8h.html#af1767c4decdd472ed81035a19cf2152b">vector_get_sum</a>(uint8_t length, <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> arr[]);</div>
+<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  </div>
+<div class="line"><a name="l00106"></a><span class="lineno"> 106</span> <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> <a class="code" href="vector_8h.html#a4a8fae4c69677390016c116123d9eff8">vector_get_mean_value</a>(uint8_t length, <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> arr[]);</div>
+<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  </div>
+<div class="line"><a name="l00118"></a><span class="lineno"> 118</span> <span class="keywordtype">void</span> <a class="code" href="vector_8h.html#a3bbd999b10064c2ede2bd427aa040b63">vector_sub</a>(uint8_t size, <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> a_vec[], <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> b_vec[],</div>
+<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> a_minus_b[]);</div>
+<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  </div>
+<div class="line"><a name="l00131"></a><span class="lineno"> 131</span> <span class="keywordtype">void</span> <a class="code" href="vector_8h.html#a92917951880002814392c2367896d7a0">vector_add</a>(uint8_t size, <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> a_vec[size], <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> b_vec[size],</div>
+<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> a_plus_b_vec[size]);</div>
+<div class="line"><a name="l00144"></a><span class="lineno"> 144</span> <span class="keywordtype">void</span> <a class="code" href="vector_8h.html#a099aa56dd0f260c77afaf8b62b56b2c5">vector_mul</a>(uint8_t size, <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> a_vec[size], <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> b_vec[size],</div>
+<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> a_mul_b_vec[size]);</div>
+<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  </div>
+<div class="line"><a name="l00157"></a><span class="lineno"> 157</span> <span class="keywordtype">void</span> <a class="code" href="vector_8h.html#afc68fab0b07c974faf5a457d20b01c58">vector_square</a>(uint8_t n, <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> vec[n], <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> square_vec[n]);</div>
+<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  </div>
+<div class="line"><a name="l00169"></a><span class="lineno"> 169</span> <span class="keywordtype">void</span> <a class="code" href="vector_8h.html#a90a92f618957807f90ab1d8a8d9150d4">vector_in_place_scalar_mul</a>(uint8_t size, <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> a_vec[size],</div>
+<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> scl);</div>
+<div class="line"><a name="l00171"></a><span class="lineno"> 171</span>  </div>
+<div class="line"><a name="l00183"></a><span class="lineno"> 183</span> <span class="keywordtype">void</span> <a class="code" href="vector_8h.html#a3c0bdd0e463fb34757a71470c55af845">vector_scalar_mul</a>(uint8_t size, <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> src_vec[size], <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> scl,</div>
+<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> dest_vec[]);</div>
+<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>  </div>
+<div class="line"><a name="l00196"></a><span class="lineno"> 196</span> <span class="keywordtype">void</span> <a class="code" href="vector_8h.html#ae41fee7d298da0645c37ed6af7acea0b">vector_scalar_div</a>(uint8_t size, <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> a_vec[size], <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> scl);</div>
+<div class="line"><a name="l00197"></a><span class="lineno"> 197</span>  </div>
+<div class="line"><a name="l00198"></a><span class="lineno"> 198</span> <span class="comment">//Euclidean distance: d = sum((x-y).^2).^0.5</span></div>
+<div class="line"><a name="l00199"></a><span class="lineno"> 199</span>  </div>
+<div class="line"><a name="l00210"></a><span class="lineno"> 210</span> <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> <a class="code" href="vector_8h.html#abbb6bf046e47a8634c15c43a508cacb9">vector_get_euclidean_distance</a>(uint8_t length, <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> vec1[],</div>
+<div class="line"><a name="l00211"></a><span class="lineno"> 211</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> vec2[]);</div>
+<div class="line"><a name="l00222"></a><span class="lineno"> 222</span> <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> <a class="code" href="vector_8h.html#a5f4b706c07b9b0f7a4983d80fba99e4e">vector_get_scalar_product</a>(uint8_t n, <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> vec1[n],</div>
+<div class="line"><a name="l00223"></a><span class="lineno"> 223</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> vec2[n]);</div>
+<div class="line"><a name="l00224"></a><span class="lineno"> 224</span>  </div>
+<div class="line"><a name="l00236"></a><span class="lineno"> 236</span> <span class="keywordtype">bool</span> <a class="code" href="vector_8h.html#af98f2e3896ce7b96d598b11033ac1795">vector_is_equal</a>(uint16_t length, <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> vec_1[], <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> vec_2[]);</div>
+<div class="line"><a name="l00237"></a><span class="lineno"> 237</span>  </div>
+<div class="line"><a name="l00249"></a><span class="lineno"> 249</span> <span class="keywordtype">bool</span> <a class="code" href="vector_8h.html#a421f989647bf55af29c0f55b7f33d35a">vector_uint32_is_equal</a>(uint32_t length, uint32_t vec_1[], uint32_t vec_2[]);</div>
+<div class="line"><a name="l00250"></a><span class="lineno"> 250</span>  </div>
+<div class="line"><a name="l00264"></a><span class="lineno"> 264</span> <span class="keywordtype">void</span> <a class="code" href="vector_8h.html#a45dfc0cdad1f1a542df4029b498766ba">vector_get_index_vector</a>(uint8_t k, uint8_t n, <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> unsorted_vector[n],</div>
+<div class="line"><a name="l00265"></a><span class="lineno"> 265</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> sorted_vector[n], uint8_t index_vector[n]);</div>
+<div class="line"><a name="l00266"></a><span class="lineno"> 266</span>  </div>
+<div class="line"><a name="l00278"></a><span class="lineno"> 278</span> <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> <a class="code" href="vector_8h.html#a982bc2f9e4755461eac46c6322b4562d">vector_get_max_and_index</a>(uint8_t length, <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> vec[],</div>
+<div class="line"><a name="l00279"></a><span class="lineno"> 279</span>  uint8_t *index);</div>
+<div class="line"><a name="l00280"></a><span class="lineno"> 280</span>  </div>
+<div class="line"><a name="l00292"></a><span class="lineno"> 292</span> <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> <a class="code" href="vector_8h.html#a1fcbe913017a3b6802d5f66c8ef699ac">vector_get_residual</a>(uint8_t length, <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> a_vec[], <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> b_vec[]);</div>
+<div class="line"><a name="l00293"></a><span class="lineno"> 293</span>  </div>
+<div class="line"><a name="l00303"></a><span class="lineno"> 303</span> <span class="keywordtype">void</span> <a class="code" href="vector_8h.html#a1348a041e323e7b333482242b51a7674">vector_get_elements</a>(<a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> src_vec[], uint8_t k, uint8_t index_vec[],</div>
+<div class="line"><a name="l00304"></a><span class="lineno"> 304</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> dst_vec[]);</div>
+<div class="line"><a name="l00305"></a><span class="lineno"> 305</span>  </div>
+<div class="line"><a name="l00313"></a><span class="lineno"> 313</span> <span class="keywordtype">void</span> <a class="code" href="vector_8h.html#a8f24286db94dba6ab181edcdfe296262">vector_print</a>(uint32_t length, <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> arr[]);</div>
+<div class="line"><a name="l00314"></a><span class="lineno"> 314</span>  </div>
+<div class="line"><a name="l00322"></a><span class="lineno"> 322</span> <span class="keywordtype">void</span> <a class="code" href="vector_8h.html#a8ec75dc585746d950ab517e9929f31fe">vector_print_u8_array</a>(uint32_t length, uint8_t arr[]);</div>
+<div class="line"><a name="l00323"></a><span class="lineno"> 323</span>  </div>
+<div class="line"><a name="l00337"></a><span class="lineno"> 337</span> <span class="keywordtype">void</span> <a class="code" href="vector_8h.html#ab2827264910e858f238868695a92db4b">vector_flex_print</a>(uint32_t length, <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> arr[], uint8_t before_dot,</div>
+<div class="line"><a name="l00338"></a><span class="lineno"> 338</span>  uint8_t after_dot);</div>
+<div class="line"><a name="l00339"></a><span class="lineno"> 339</span>  </div>
+<div class="line"><a name="l00340"></a><span class="lineno"> 340</span> <span class="preprocessor">#endif </span><span class="comment">/* VECTOR_H_ */</span><span class="preprocessor"></span></div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="avector_8h_html_ae41fee7d298da0645c37ed6af7acea0b"><div class="ttname"><a href="vector_8h.html#ae41fee7d298da0645c37ed6af7acea0b">vector_scalar_div</a></div><div class="ttdeci">void vector_scalar_div(uint8_t size, vector_t a_vec[size], vector_t scl)</div><div class="ttdoc">Compute the division of a vector with a real number.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00151">vector.c:151</a></div></div>
+<div class="ttc" id="avector_8h_html_a4cfc452fdff3e32a601ccff140cd9ae6"><div class="ttname"><a href="vector_8h.html#a4cfc452fdff3e32a601ccff140cd9ae6">vector_get_norm2</a></div><div class="ttdeci">vector_t vector_get_norm2(uint8_t length, vector_t arr[])</div><div class="ttdoc">Compute the 2-norm norm of a vector.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00042">vector.c:42</a></div></div>
+<div class="ttc" id="avector_8h_html_ab2827264910e858f238868695a92db4b"><div class="ttname"><a href="vector_8h.html#ab2827264910e858f238868695a92db4b">vector_flex_print</a></div><div class="ttdeci">void vector_flex_print(uint32_t length, vector_t arr[], uint8_t before_dot, uint8_t after_dot)</div><div class="ttdoc">Display the values of the vector's elements.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00284">vector.c:284</a></div></div>
+<div class="ttc" id="avector_8h_html_a1fcbe913017a3b6802d5f66c8ef699ac"><div class="ttname"><a href="vector_8h.html#a1fcbe913017a3b6802d5f66c8ef699ac">vector_get_residual</a></div><div class="ttdeci">vector_t vector_get_residual(uint8_t length, vector_t a_vec[], vector_t b_vec[])</div><div class="ttdoc">Compute the residual of two vectors.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00227">vector.c:227</a></div></div>
+<div class="ttc" id="avector_8h_html_abbb6bf046e47a8634c15c43a508cacb9"><div class="ttname"><a href="vector_8h.html#abbb6bf046e47a8634c15c43a508cacb9">vector_get_euclidean_distance</a></div><div class="ttdeci">vector_t vector_get_euclidean_distance(uint8_t length, vector_t vec1[], vector_t vec2[])</div><div class="ttdoc">Compute the Euclidean distance between two vectors.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00163">vector.c:163</a></div></div>
+<div class="ttc" id="avector_8h_html_a5f4b706c07b9b0f7a4983d80fba99e4e"><div class="ttname"><a href="vector_8h.html#a5f4b706c07b9b0f7a4983d80fba99e4e">vector_get_scalar_product</a></div><div class="ttdeci">vector_t vector_get_scalar_product(uint8_t n, vector_t vec1[n], vector_t vec2[n])</div><div class="ttdoc">Compute the dot product of two vectors.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00190">vector.c:190</a></div></div>
+<div class="ttc" id="avector_8h_html_afc68fab0b07c974faf5a457d20b01c58"><div class="ttname"><a href="vector_8h.html#afc68fab0b07c974faf5a457d20b01c58">vector_square</a></div><div class="ttdeci">void vector_square(uint8_t n, vector_t vec[n], vector_t square_vec[n])</div><div class="ttdoc">Compute the square of a vector.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00124">vector.c:124</a></div></div>
+<div class="ttc" id="avector_8h_html_a8f24286db94dba6ab181edcdfe296262"><div class="ttname"><a href="vector_8h.html#a8f24286db94dba6ab181edcdfe296262">vector_print</a></div><div class="ttdeci">void vector_print(uint32_t length, vector_t arr[])</div><div class="ttdoc">Display the values of the vector's elements.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00255">vector.c:255</a></div></div>
+<div class="ttc" id="avector_8h_html_aab9d7950d4ba03b0e1a23de5b7fae6a6"><div class="ttname"><a href="vector_8h.html#aab9d7950d4ba03b0e1a23de5b7fae6a6">vector_get_square_norm2</a></div><div class="ttdeci">vector_t vector_get_square_norm2(uint8_t length, vector_t arr[])</div><div class="ttdoc">Compute the squared 2-norm norm of a vector .</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00054">vector.c:54</a></div></div>
+<div class="ttc" id="avector_8h_html_a8ec75dc585746d950ab517e9929f31fe"><div class="ttname"><a href="vector_8h.html#a8ec75dc585746d950ab517e9929f31fe">vector_print_u8_array</a></div><div class="ttdeci">void vector_print_u8_array(uint32_t length, uint8_t arr[])</div><div class="ttdoc">Display the values of the vector's elements of type uint8_t.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00269">vector.c:269</a></div></div>
+<div class="ttc" id="avector_8h_html_acb41430bc5720dda7d1c45d91a0b0221"><div class="ttname"><a href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a></div><div class="ttdeci">#define vector_t</div><div class="ttdoc">Define the data type of the vector elements.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8h_source.html#l00033">vector.h:33</a></div></div>
+<div class="ttc" id="avector_8h_html_a90a92f618957807f90ab1d8a8d9150d4"><div class="ttname"><a href="vector_8h.html#a90a92f618957807f90ab1d8a8d9150d4">vector_in_place_scalar_mul</a></div><div class="ttdeci">void vector_in_place_scalar_mul(uint8_t size, vector_t a_vec[size], vector_t scl)</div><div class="ttdoc">Compute the product of a vector with a real number.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00131">vector.c:131</a></div></div>
+<div class="ttc" id="avector_8h_html_a45dfc0cdad1f1a542df4029b498766ba"><div class="ttname"><a href="vector_8h.html#a45dfc0cdad1f1a542df4029b498766ba">vector_get_index_vector</a></div><div class="ttdeci">void vector_get_index_vector(uint8_t k, uint8_t n, vector_t unsorted_vector[n], vector_t sorted_vector[n], uint8_t index_vector[n])</div><div class="ttdoc">Determine the index of the vector elements before sorting.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00214">vector.c:214</a></div></div>
+<div class="ttc" id="avector_8h_html_a421f989647bf55af29c0f55b7f33d35a"><div class="ttname"><a href="vector_8h.html#a421f989647bf55af29c0f55b7f33d35a">vector_uint32_is_equal</a></div><div class="ttdeci">bool vector_uint32_is_equal(uint32_t length, uint32_t vec_1[], uint32_t vec_2[])</div><div class="ttdoc">Determine the equality of two vectors of type uint32_t.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00243">vector.c:243</a></div></div>
+<div class="ttc" id="avector_8h_html_a1348a041e323e7b333482242b51a7674"><div class="ttname"><a href="vector_8h.html#a1348a041e323e7b333482242b51a7674">vector_get_elements</a></div><div class="ttdeci">void vector_get_elements(vector_t src_vec[], uint8_t k, uint8_t index_vec[], vector_t dst_vec[])</div><div class="ttdoc">Get the elements of the vector by an index vector.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00235">vector.c:235</a></div></div>
+<div class="ttc" id="avector_8h_html_a758d38ad9623aa8c385bce765a3b7d17"><div class="ttname"><a href="vector_8h.html#a758d38ad9623aa8c385bce765a3b7d17">vector_clear</a></div><div class="ttdeci">void vector_clear(uint8_t size, vector_t arr[])</div><div class="ttdoc">Clear all the elements of the vector.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00032">vector.c:32</a></div></div>
+<div class="ttc" id="avector_8h_html_ae9d3378f23ba835c727245b434b8a7f6"><div class="ttname"><a href="vector_8h.html#ae9d3378f23ba835c727245b434b8a7f6">vector_copy</a></div><div class="ttdeci">void vector_copy(uint8_t size, vector_t src_arr[], vector_t dest_arr[])</div><div class="ttdoc">Copy the elements of the source vector to the destination vector.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00037">vector.c:37</a></div></div>
+<div class="ttc" id="avector_8h_html_af98f2e3896ce7b96d598b11033ac1795"><div class="ttname"><a href="vector_8h.html#af98f2e3896ce7b96d598b11033ac1795">vector_is_equal</a></div><div class="ttdeci">bool vector_is_equal(uint16_t length, vector_t vec_1[], vector_t vec_2[])</div><div class="ttdoc">Determine the equality of two vectors.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00202">vector.c:202</a></div></div>
+<div class="ttc" id="avector_8h_html_a099aa56dd0f260c77afaf8b62b56b2c5"><div class="ttname"><a href="vector_8h.html#a099aa56dd0f260c77afaf8b62b56b2c5">vector_mul</a></div><div class="ttdeci">void vector_mul(uint8_t size, vector_t a_vec[size], vector_t b_vec[size], vector_t a_mul_b_vec[size])</div><div class="ttdoc">Compute the multiplication of two vectors.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00114">vector.c:114</a></div></div>
+<div class="ttc" id="avector_8h_html_a92917951880002814392c2367896d7a0"><div class="ttname"><a href="vector_8h.html#a92917951880002814392c2367896d7a0">vector_add</a></div><div class="ttdeci">void vector_add(uint8_t size, vector_t a_vec[size], vector_t b_vec[size], vector_t a_plus_b_vec[size])</div><div class="ttdoc">Compute the addition of two vectors.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00104">vector.c:104</a></div></div>
+<div class="ttc" id="avector_8h_html_af1767c4decdd472ed81035a19cf2152b"><div class="ttname"><a href="vector_8h.html#af1767c4decdd472ed81035a19cf2152b">vector_get_sum</a></div><div class="ttdeci">vector_t vector_get_sum(uint8_t length, vector_t arr[])</div><div class="ttdoc">Compute the sum of the elements of a vector.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00066">vector.c:66</a></div></div>
+<div class="ttc" id="avector_8h_html_a4a8fae4c69677390016c116123d9eff8"><div class="ttname"><a href="vector_8h.html#a4a8fae4c69677390016c116123d9eff8">vector_get_mean_value</a></div><div class="ttdeci">vector_t vector_get_mean_value(uint8_t length, vector_t arr[])</div><div class="ttdoc">Compute the average or mean value of a vector.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00078">vector.c:78</a></div></div>
+<div class="ttc" id="avector_8h_html_a3c0bdd0e463fb34757a71470c55af845"><div class="ttname"><a href="vector_8h.html#a3c0bdd0e463fb34757a71470c55af845">vector_scalar_mul</a></div><div class="ttdeci">void vector_scalar_mul(uint8_t size, vector_t src_vec[size], vector_t scl, vector_t dest_vec[])</div><div class="ttdoc">Compute the product of a vector with a real number.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00141">vector.c:141</a></div></div>
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+<a href="#func-members">Functions</a> </div>
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+<div class="title">vector_test.c File Reference</div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Examples of vector computations.
+<a href="#details">More...</a></p>
+<div class="textblock"><code>#include <stdio.h></code><br />
+<code>#include <stdint.h></code><br />
+<code>#include <inttypes.h></code><br />
+<code>#include <math.h></code><br />
+<code>#include "<a class="el" href="vector_8h_source.html">vector.h</a>"</code><br />
+</div>
+<p><a href="vector__test_8c_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ab0aed13072bc11b97766634c625d6f21"><td class="memItemLeft" align="right" valign="top"><a id="ab0aed13072bc11b97766634c625d6f21"></a>
+void </td><td class="memItemRight" valign="bottom"><a class="el" href="vector__test_8c.html#ab0aed13072bc11b97766634c625d6f21">vector_test</a> (void)</td></tr>
+<tr class="memdesc:ab0aed13072bc11b97766634c625d6f21"><td class="mdescLeft"> </td><td class="mdescRight">Examples of vector operations. <br /></td></tr>
+<tr class="separator:ab0aed13072bc11b97766634c625d6f21"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Examples of vector computations. </p>
+<p>Vector computation examples of the <a class="el" href="vector_8h.html">vector.h</a> functions.</p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="vector__test_8c_source.html">vector_test.c</a>.</p>
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+<div class="title">vector_test.c</div> </div>
+</div><!--header-->
+<div class="contents">
+<a href="vector__test_8c.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="preprocessor">#include <stdio.h></span></div>
+<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="preprocessor">#include <stdint.h></span></div>
+<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#include <inttypes.h></span></div>
+<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="preprocessor">#include <math.h></span></div>
+<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>  </div>
+<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="preprocessor">#include "<a class="code" href="vector_8h.html">vector.h</a>"</span></div>
+<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>  </div>
+<div class="line"><a name="l00030"></a><span class="lineno"><a class="line" href="vector__test_8c.html#ab0aed13072bc11b97766634c625d6f21"> 30</a></span> <span class="keywordtype">void</span> <a class="code" href="vector__test_8c.html#ab0aed13072bc11b97766634c625d6f21">vector_test</a>(<span class="keywordtype">void</span>)</div>
+<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> {</div>
+<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>  puts(<span class="stringliteral">"############ Test Vector Algebra ###############"</span>);</div>
+<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> a[5] = { 0.0975, 0.2785, 0.5469, 0.9575, 0.9649 };</div>
+<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> b[5] = { 0.1576, 0.9706, 0.9572, 0.4854, 0.8003 };</div>
+<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> c[5];</div>
+<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> d[5] = { 0.1576, 0.9706, 0.9572, 0.4854, 0.8003 };</div>
+<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  </div>
+<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  uint8_t size = 5;</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>  <a class="code" href="vector_8h.html#a92917951880002814392c2367896d7a0">vector_add</a>(size, a, b, c);</div>
+<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  printf(<span class="stringliteral">"c = a + b = "</span>);</div>
+<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  <a class="code" href="vector_8h.html#ab2827264910e858f238868695a92db4b">vector_flex_print</a>(size, c, 3, 4);</div>
+<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  </div>
+<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  <a class="code" href="vector_8h.html#a3bbd999b10064c2ede2bd427aa040b63">vector_sub</a>(size, a, b, c);</div>
+<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  printf(<span class="stringliteral">"c = a - b = "</span>);</div>
+<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  <a class="code" href="vector_8h.html#ab2827264910e858f238868695a92db4b">vector_flex_print</a>(size, c, 3, 4);</div>
+<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  </div>
+<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  <a class="code" href="vector_8h.html#a099aa56dd0f260c77afaf8b62b56b2c5">vector_mul</a>(size, a, b, c);</div>
+<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  printf(<span class="stringliteral">"c = a * b = "</span>);</div>
+<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  <a class="code" href="vector_8h.html#ab2827264910e858f238868695a92db4b">vector_flex_print</a>(size, c, 3, 4);</div>
+<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  </div>
+<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> mean = <a class="code" href="vector_8h.html#a4a8fae4c69677390016c116123d9eff8">vector_get_mean_value</a>(size, a);</div>
+<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  printf(<span class="stringliteral">"mean(a) = %.4f\n"</span>, mean);</div>
+<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  </div>
+<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> norm2 = <a class="code" href="vector_8h.html#a4cfc452fdff3e32a601ccff140cd9ae6">vector_get_norm2</a>(size, a);</div>
+<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  printf(<span class="stringliteral">"norm2(a) = %.4f\n"</span>, norm2);</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>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> squ_norm2 = <a class="code" href="vector_8h.html#aab9d7950d4ba03b0e1a23de5b7fae6a6">vector_get_square_norm2</a>(size, b);</div>
+<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  printf(<span class="stringliteral">"squ_norm2(b) = %.4f\n"</span>, squ_norm2);</div>
+<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  </div>
+<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> scal = <a class="code" href="vector_8h.html#a5f4b706c07b9b0f7a4983d80fba99e4e">vector_get_scalar_product</a>(size, a, b);</div>
+<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  printf(<span class="stringliteral">"scal(a) = %.4f\n"</span>, scal);</div>
+<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  </div>
+<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> sum = <a class="code" href="vector_8h.html#af1767c4decdd472ed81035a19cf2152b">vector_get_sum</a>(size, a);</div>
+<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  printf(<span class="stringliteral">"sum(a) = %.4f\n"</span>, sum);</div>
+<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  </div>
+<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  <a class="code" href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a> euc_dist = <a class="code" href="vector_8h.html#abbb6bf046e47a8634c15c43a508cacb9">vector_get_euclidean_distance</a>(size, a, b);</div>
+<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  printf(<span class="stringliteral">"euc_dist(a,b) = %.4f\n"</span>, euc_dist);</div>
+<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  </div>
+<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  <span class="keywordflow">if</span> (<a class="code" href="vector_8h.html#af98f2e3896ce7b96d598b11033ac1795">vector_is_equal</a>(size, b, d)) {</div>
+<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  puts(<span class="stringliteral">"vectors are equal !!"</span>);</div>
+<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  }</div>
+<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  <span class="keywordflow">else</span> {</div>
+<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  puts(<span class="stringliteral">"vectors are not equal !!"</span>);</div>
+<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  }</div>
+<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  </div>
+<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  <a class="code" href="vector_8h.html#ae9d3378f23ba835c727245b434b8a7f6">vector_copy</a>(size, a, d);</div>
+<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  <a class="code" href="vector_8h.html#ab2827264910e858f238868695a92db4b">vector_flex_print</a>(size, d, 3, 4);</div>
+<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  </div>
+<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  <a class="code" href="vector_8h.html#a758d38ad9623aa8c385bce765a3b7d17">vector_clear</a>(size, d);</div>
+<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  <a class="code" href="vector_8h.html#ab2827264910e858f238868695a92db4b">vector_flex_print</a>(size, d, 3, 4);</div>
+<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  puts(<span class="stringliteral">""</span>);</div>
+<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  </div>
+<div class="line"><a name="l00088"></a><span class="lineno"> 88</span> }</div>
+</div><!-- fragment --></div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="avector_8h_html_a4cfc452fdff3e32a601ccff140cd9ae6"><div class="ttname"><a href="vector_8h.html#a4cfc452fdff3e32a601ccff140cd9ae6">vector_get_norm2</a></div><div class="ttdeci">vector_t vector_get_norm2(uint8_t length, vector_t arr[])</div><div class="ttdoc">Compute the 2-norm norm of a vector.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00042">vector.c:42</a></div></div>
+<div class="ttc" id="avector_8h_html_ab2827264910e858f238868695a92db4b"><div class="ttname"><a href="vector_8h.html#ab2827264910e858f238868695a92db4b">vector_flex_print</a></div><div class="ttdeci">void vector_flex_print(uint32_t length, vector_t arr[], uint8_t before_dot, uint8_t after_dot)</div><div class="ttdoc">Display the values of the vector's elements.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00284">vector.c:284</a></div></div>
+<div class="ttc" id="avector_8h_html_abbb6bf046e47a8634c15c43a508cacb9"><div class="ttname"><a href="vector_8h.html#abbb6bf046e47a8634c15c43a508cacb9">vector_get_euclidean_distance</a></div><div class="ttdeci">vector_t vector_get_euclidean_distance(uint8_t length, vector_t vec1[], vector_t vec2[])</div><div class="ttdoc">Compute the Euclidean distance between two vectors.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00163">vector.c:163</a></div></div>
+<div class="ttc" id="avector_8h_html_a5f4b706c07b9b0f7a4983d80fba99e4e"><div class="ttname"><a href="vector_8h.html#a5f4b706c07b9b0f7a4983d80fba99e4e">vector_get_scalar_product</a></div><div class="ttdeci">vector_t vector_get_scalar_product(uint8_t n, vector_t vec1[n], vector_t vec2[n])</div><div class="ttdoc">Compute the dot product of two vectors.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00190">vector.c:190</a></div></div>
+<div class="ttc" id="avector_8h_html_aab9d7950d4ba03b0e1a23de5b7fae6a6"><div class="ttname"><a href="vector_8h.html#aab9d7950d4ba03b0e1a23de5b7fae6a6">vector_get_square_norm2</a></div><div class="ttdeci">vector_t vector_get_square_norm2(uint8_t length, vector_t arr[])</div><div class="ttdoc">Compute the squared 2-norm norm of a vector .</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00054">vector.c:54</a></div></div>
+<div class="ttc" id="avector_8h_html_acb41430bc5720dda7d1c45d91a0b0221"><div class="ttname"><a href="vector_8h.html#acb41430bc5720dda7d1c45d91a0b0221">vector_t</a></div><div class="ttdeci">#define vector_t</div><div class="ttdoc">Define the data type of the vector elements.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8h_source.html#l00033">vector.h:33</a></div></div>
+<div class="ttc" id="avector_8h_html_a758d38ad9623aa8c385bce765a3b7d17"><div class="ttname"><a href="vector_8h.html#a758d38ad9623aa8c385bce765a3b7d17">vector_clear</a></div><div class="ttdeci">void vector_clear(uint8_t size, vector_t arr[])</div><div class="ttdoc">Clear all the elements of the vector.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00032">vector.c:32</a></div></div>
+<div class="ttc" id="avector_8h_html_ae9d3378f23ba835c727245b434b8a7f6"><div class="ttname"><a href="vector_8h.html#ae9d3378f23ba835c727245b434b8a7f6">vector_copy</a></div><div class="ttdeci">void vector_copy(uint8_t size, vector_t src_arr[], vector_t dest_arr[])</div><div class="ttdoc">Copy the elements of the source vector to the destination vector.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00037">vector.c:37</a></div></div>
+<div class="ttc" id="avector_8h_html_af98f2e3896ce7b96d598b11033ac1795"><div class="ttname"><a href="vector_8h.html#af98f2e3896ce7b96d598b11033ac1795">vector_is_equal</a></div><div class="ttdeci">bool vector_is_equal(uint16_t length, vector_t vec_1[], vector_t vec_2[])</div><div class="ttdoc">Determine the equality of two vectors.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00202">vector.c:202</a></div></div>
+<div class="ttc" id="avector_8h_html_a099aa56dd0f260c77afaf8b62b56b2c5"><div class="ttname"><a href="vector_8h.html#a099aa56dd0f260c77afaf8b62b56b2c5">vector_mul</a></div><div class="ttdeci">void vector_mul(uint8_t size, vector_t a_vec[size], vector_t b_vec[size], vector_t a_mul_b_vec[size])</div><div class="ttdoc">Compute the multiplication of two vectors.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00114">vector.c:114</a></div></div>
+<div class="ttc" id="avector_8h_html_a92917951880002814392c2367896d7a0"><div class="ttname"><a href="vector_8h.html#a92917951880002814392c2367896d7a0">vector_add</a></div><div class="ttdeci">void vector_add(uint8_t size, vector_t a_vec[size], vector_t b_vec[size], vector_t a_plus_b_vec[size])</div><div class="ttdoc">Compute the addition of two vectors.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00104">vector.c:104</a></div></div>
+<div class="ttc" id="avector_8h_html_af1767c4decdd472ed81035a19cf2152b"><div class="ttname"><a href="vector_8h.html#af1767c4decdd472ed81035a19cf2152b">vector_get_sum</a></div><div class="ttdeci">vector_t vector_get_sum(uint8_t length, vector_t arr[])</div><div class="ttdoc">Compute the sum of the elements of a vector.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00066">vector.c:66</a></div></div>
+<div class="ttc" id="avector_8h_html"><div class="ttname"><a href="vector_8h.html">vector.h</a></div><div class="ttdoc">Vector computations.</div></div>
+<div class="ttc" id="avector_8h_html_a4a8fae4c69677390016c116123d9eff8"><div class="ttname"><a href="vector_8h.html#a4a8fae4c69677390016c116123d9eff8">vector_get_mean_value</a></div><div class="ttdeci">vector_t vector_get_mean_value(uint8_t length, vector_t arr[])</div><div class="ttdoc">Compute the average or mean value of a vector.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00078">vector.c:78</a></div></div>
+<div class="ttc" id="avector__test_8c_html_ab0aed13072bc11b97766634c625d6f21"><div class="ttname"><a href="vector__test_8c.html#ab0aed13072bc11b97766634c625d6f21">vector_test</a></div><div class="ttdeci">void vector_test(void)</div><div class="ttdoc">Examples of vector operations.</div><div class="ttdef"><b>Definition:</b> <a href="vector__test_8c_source.html#l00030">vector_test.c:30</a></div></div>
+<div class="ttc" id="avector_8h_html_a3bbd999b10064c2ede2bd427aa040b63"><div class="ttname"><a href="vector_8h.html#a3bbd999b10064c2ede2bd427aa040b63">vector_sub</a></div><div class="ttdeci">void vector_sub(uint8_t size, vector_t a_vec[], vector_t b_vec[], vector_t a_minus_b[])</div><div class="ttdoc">Compute the subtraction of two vectors.</div><div class="ttdef"><b>Definition:</b> <a href="vector_8c_source.html#l00094">vector.c:94</a></div></div>
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+<a href="#func-members">Functions</a> </div>
+ <div class="headertitle">
+<div class="title">vector_test.h File Reference<div class="ingroups"><a class="el" href="group__examples.html">EXAMPLES</a></div></div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Examples of vector computations.
+<a href="#details">More...</a></p>
+
+<p><a href="vector__test_8h_source.html">Go to the source code of this file.</a></p>
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+void </td><td class="memItemRight" valign="bottom"><a class="el" href="vector__test_8h.html#ab0aed13072bc11b97766634c625d6f21">vector_test</a> (void)</td></tr>
+<tr class="memdesc:ab0aed13072bc11b97766634c625d6f21"><td class="mdescLeft"> </td><td class="mdescRight">Examples of vector operations. <br /></td></tr>
+<tr class="separator:ab0aed13072bc11b97766634c625d6f21"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Examples of vector computations. </p>
+<p>Vector computation examples (see <a class="el" href="vector_8h.html">vector</a> functions).</p>
+<dl class="section author"><dt>Author</dt><dd>Zakaria Kasmi <a href="#" onclick="location.href='mai'+'lto:'+'zka'+'sm'+'i@i'+'nf'+'.fu'+'-b'+'erl'+'in'+'.de'; return false;">zkasm<span style="display: none;">.nosp@m.</span>i@in<span style="display: none;">.nosp@m.</span>f.fu-<span style="display: none;">.nosp@m.</span>berl<span style="display: none;">.nosp@m.</span>in.de</a> </dd></dl>
+
+<p class="definition">Definition in file <a class="el" href="vector__test_8h_source.html">vector_test.h</a>.</p>
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+ <li class="footer">Generated by
+ <a href="http://www.doxygen.org/index.html">
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+<div class="title">vector_test.h</div> </div>
+</div><!--header-->
+<div class="contents">
+<a href="vector__test_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2020 Zakaria Kasmi <zkasmi@inf.fu-berlin.de></span></div>
+<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * 2020 Freie Universität Berlin</span></div>
+<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is subject to the terms and conditions of the GNU Lesser General</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Public License v2.1. See the file LICENSE in the top level directory for more</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * details.</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
+<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="preprocessor">#ifndef VECTOR_TEST_H_</span></div>
+<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#define VECTOR_TEST_H_</span></div>
+<div class="line"><a name="l00026"></a><span class="lineno"> 26</span>  </div>
+<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="keywordtype">void</span> <a class="code" href="vector__test_8h.html#ab0aed13072bc11b97766634c625d6f21">vector_test</a>(<span class="keywordtype">void</span>);</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="preprocessor">#endif </span><span class="comment">/* VECTOR_TEST_H_ */</span><span class="preprocessor"></span></div>
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diff --git a/doc/doxygen/src/RcdMathLib.doxyfile b/doc/doxygen/src/RcdMathLib.doxyfile
new file mode 100644
index 0000000000000000000000000000000000000000..98a14103e4933b09b847215c4cb46dc3599515dc
--- /dev/null
+++ b/doc/doxygen/src/RcdMathLib.doxyfile
@@ -0,0 +1,2585 @@
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+# sources only. Doxygen will then generate output that is more tailored for that
+# language. For instance, namespaces will be presented as modules, types will be
+# separated into more groups, etc.
+# The default value is: NO.
+
+OPTIMIZE_OUTPUT_SLICE = NO
+
+# Doxygen selects the parser to use depending on the extension of the files it
+# parses. With this tag you can assign which parser to use for a given
+# extension. Doxygen has a built-in mapping, but you can override or extend it
+# using this tag. The format is ext=language, where ext is a file extension, and
+# language is one of the parsers supported by doxygen: IDL, Java, Javascript,
+# Csharp (C#), C, C++, D, PHP, md (Markdown), Objective-C, Python, Slice,
+# Fortran (fixed format Fortran: FortranFixed, free formatted Fortran:
+# FortranFree, unknown formatted Fortran: Fortran. In the later case the parser
+# tries to guess whether the code is fixed or free formatted code, this is the
+# default for Fortran type files), VHDL, tcl. For instance to make doxygen treat
+# .inc files as Fortran files (default is PHP), and .f files as C (default is
+# Fortran), use: inc=Fortran f=C.
+#
+# Note: For files without extension you can use no_extension as a placeholder.
+#
+# Note that for custom extensions you also need to set FILE_PATTERNS otherwise
+# the files are not read by doxygen.
+
+EXTENSION_MAPPING =
+
+# If the MARKDOWN_SUPPORT tag is enabled then doxygen pre-processes all comments
+# according to the Markdown format, which allows for more readable
+# documentation. See https://daringfireball.net/projects/markdown/ for details.
+# The output of markdown processing is further processed by doxygen, so you can
+# mix doxygen, HTML, and XML commands with Markdown formatting. Disable only in
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+# The default value is: YES.
+
+MARKDOWN_SUPPORT = YES
+
+# When the TOC_INCLUDE_HEADINGS tag is set to a non-zero value, all headings up
+# to that level are automatically included in the table of contents, even if
+# they do not have an id attribute.
+# Note: This feature currently applies only to Markdown headings.
+# Minimum value: 0, maximum value: 99, default value: 5.
+# This tag requires that the tag MARKDOWN_SUPPORT is set to YES.
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+TOC_INCLUDE_HEADINGS = 5
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+# When enabled doxygen tries to link words that correspond to documented
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+# be prevented in individual cases by putting a % sign in front of the word or
+# globally by setting AUTOLINK_SUPPORT to NO.
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+AUTOLINK_SUPPORT = YES
+
+# If you use STL classes (i.e. std::string, std::vector, etc.) but do not want
+# to include (a tag file for) the STL sources as input, then you should set this
+# tag to YES in order to let doxygen match functions declarations and
+# definitions whose arguments contain STL classes (e.g. func(std::string);
+# versus func(std::string) {}). This also make the inheritance and collaboration
+# diagrams that involve STL classes more complete and accurate.
+# The default value is: NO.
+
+BUILTIN_STL_SUPPORT = NO
+
+# If you use Microsoft's C++/CLI language, you should set this option to YES to
+# enable parsing support.
+# The default value is: NO.
+
+CPP_CLI_SUPPORT = NO
+
+# Set the SIP_SUPPORT tag to YES if your project consists of sip (see:
+# https://www.riverbankcomputing.com/software/sip/intro) sources only. Doxygen
+# will parse them like normal C++ but will assume all classes use public instead
+# of private inheritance when no explicit protection keyword is present.
+# The default value is: NO.
+
+SIP_SUPPORT = NO
+
+# For Microsoft's IDL there are propget and propput attributes to indicate
+# getter and setter methods for a property. Setting this option to YES will make
+# doxygen to replace the get and set methods by a property in the documentation.
+# This will only work if the methods are indeed getting or setting a simple
+# type. If this is not the case, or you want to show the methods anyway, you
+# should set this option to NO.
+# The default value is: YES.
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+IDL_PROPERTY_SUPPORT = YES
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+# If member grouping is used in the documentation and the DISTRIBUTE_GROUP_DOC
+# tag is set to YES then doxygen will reuse the documentation of the first
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+# The default value is: NO.
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+DISTRIBUTE_GROUP_DOC = NO
+
+# If one adds a struct or class to a group and this option is enabled, then also
+# any nested class or struct is added to the same group. By default this option
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+# The default value is: NO.
+
+GROUP_NESTED_COMPOUNDS = NO
+
+# Set the SUBGROUPING tag to YES to allow class member groups of the same type
+# (for instance a group of public functions) to be put as a subgroup of that
+# type (e.g. under the Public Functions section). Set it to NO to prevent
+# subgrouping. Alternatively, this can be done per class using the
+# \nosubgrouping command.
+# The default value is: YES.
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+SUBGROUPING = YES
+
+# When the INLINE_GROUPED_CLASSES tag is set to YES, classes, structs and unions
+# are shown inside the group in which they are included (e.g. using \ingroup)
+# instead of on a separate page (for HTML and Man pages) or section (for LaTeX
+# and RTF).
+#
+# Note that this feature does not work in combination with
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+# The default value is: NO.
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+INLINE_GROUPED_CLASSES = NO
+
+# When the INLINE_SIMPLE_STRUCTS tag is set to YES, structs, classes, and unions
+# with only public data fields or simple typedef fields will be shown inline in
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+# namespace, or group documentation), provided this scope is documented. If set
+# to NO, structs, classes, and unions are shown on a separate page (for HTML and
+# Man pages) or section (for LaTeX and RTF).
+# The default value is: NO.
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+INLINE_SIMPLE_STRUCTS = NO
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+# When TYPEDEF_HIDES_STRUCT tag is enabled, a typedef of a struct, union, or
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+# with name TypeT. When disabled the typedef will appear as a member of a file,
+# namespace, or class. And the struct will be named TypeS. This can typically be
+# useful for C code in case the coding convention dictates that all compound
+# types are typedef'ed and only the typedef is referenced, never the tag name.
+# The default value is: NO.
+
+TYPEDEF_HIDES_STRUCT = NO
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+# The size of the symbol lookup cache can be set using LOOKUP_CACHE_SIZE. This
+# cache is used to resolve symbols given their name and scope. Since this can be
+# an expensive process and often the same symbol appears multiple times in the
+# code, doxygen keeps a cache of pre-resolved symbols. If the cache is too small
+# doxygen will become slower. If the cache is too large, memory is wasted. The
+# cache size is given by this formula: 2^(16+LOOKUP_CACHE_SIZE). The valid range
+# is 0..9, the default is 0, corresponding to a cache size of 2^16=65536
+# symbols. At the end of a run doxygen will report the cache usage and suggest
+# the optimal cache size from a speed point of view.
+# Minimum value: 0, maximum value: 9, default value: 0.
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+LOOKUP_CACHE_SIZE = 1
+
+#---------------------------------------------------------------------------
+# Build related configuration options
+#---------------------------------------------------------------------------
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+# If the EXTRACT_ALL tag is set to YES, doxygen will assume all entities in
+# documentation are documented, even if no documentation was available. Private
+# class members and static file members will be hidden unless the
+# EXTRACT_PRIVATE respectively EXTRACT_STATIC tags are set to YES.
+# Note: This will also disable the warnings about undocumented members that are
+# normally produced when WARNINGS is set to YES.
+# The default value is: NO.
+
+EXTRACT_ALL = NO
+
+# If the EXTRACT_PRIVATE tag is set to YES, all private members of a class will
+# be included in the documentation.
+# The default value is: NO.
+
+EXTRACT_PRIVATE = NO
+
+# If the EXTRACT_PRIV_VIRTUAL tag is set to YES, documented private virtual
+# methods of a class will be included in the documentation.
+# The default value is: NO.
+
+EXTRACT_PRIV_VIRTUAL = NO
+
+# If the EXTRACT_PACKAGE tag is set to YES, all members with package or internal
+# scope will be included in the documentation.
+# The default value is: NO.
+
+EXTRACT_PACKAGE = NO
+
+# If the EXTRACT_STATIC tag is set to YES, all static members of a file will be
+# included in the documentation.
+# The default value is: NO.
+
+EXTRACT_STATIC = NO
+
+# If the EXTRACT_LOCAL_CLASSES tag is set to YES, classes (and structs) defined
+# locally in source files will be included in the documentation. If set to NO,
+# only classes defined in header files are included. Does not have any effect
+# for Java sources.
+# The default value is: YES.
+
+EXTRACT_LOCAL_CLASSES = YES
+
+# This flag is only useful for Objective-C code. If set to YES, local methods,
+# which are defined in the implementation section but not in the interface are
+# included in the documentation. If set to NO, only methods in the interface are
+# included.
+# The default value is: NO.
+
+EXTRACT_LOCAL_METHODS = NO
+
+# If this flag is set to YES, the members of anonymous namespaces will be
+# extracted and appear in the documentation as a namespace called
+# 'anonymous_namespace{file}', where file will be replaced with the base name of
+# the file that contains the anonymous namespace. By default anonymous namespace
+# are hidden.
+# The default value is: NO.
+
+EXTRACT_ANON_NSPACES = NO
+
+# If the HIDE_UNDOC_MEMBERS tag is set to YES, doxygen will hide all
+# undocumented members inside documented classes or files. If set to NO these
+# members will be included in the various overviews, but no documentation
+# section is generated. This option has no effect if EXTRACT_ALL is enabled.
+# The default value is: NO.
+
+HIDE_UNDOC_MEMBERS = NO
+
+# If the HIDE_UNDOC_CLASSES tag is set to YES, doxygen will hide all
+# undocumented classes that are normally visible in the class hierarchy. If set
+# to NO, these classes will be included in the various overviews. This option
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+# The default value is: NO.
+
+HIDE_UNDOC_CLASSES = NO
+
+# If the HIDE_FRIEND_COMPOUNDS tag is set to YES, doxygen will hide all friend
+# (class|struct|union) declarations. If set to NO, these declarations will be
+# included in the documentation.
+# The default value is: NO.
+
+HIDE_FRIEND_COMPOUNDS = NO
+
+# If the HIDE_IN_BODY_DOCS tag is set to YES, doxygen will hide any
+# documentation blocks found inside the body of a function. If set to NO, these
+# blocks will be appended to the function's detailed documentation block.
+# The default value is: NO.
+
+HIDE_IN_BODY_DOCS = NO
+
+# The INTERNAL_DOCS tag determines if documentation that is typed after a
+# \internal command is included. If the tag is set to NO then the documentation
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+INTERNAL_DOCS = NO
+
+# If the CASE_SENSE_NAMES tag is set to NO then doxygen will only generate file
+# names in lower-case letters. If set to YES, upper-case letters are also
+# allowed. This is useful if you have classes or files whose names only differ
+# in case and if your file system supports case sensitive file names. Windows
+# (including Cygwin) ands Mac users are advised to set this option to NO.
+# The default value is: system dependent.
+
+CASE_SENSE_NAMES = YES
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+# If the HIDE_SCOPE_NAMES tag is set to NO then doxygen will show members with
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+
+HIDE_SCOPE_NAMES = NO
+
+# If the HIDE_COMPOUND_REFERENCE tag is set to NO (default) then doxygen will
+# append additional text to a page's title, such as Class Reference. If set to
+# YES the compound reference will be hidden.
+# The default value is: NO.
+
+HIDE_COMPOUND_REFERENCE= NO
+
+# If the SHOW_INCLUDE_FILES tag is set to YES then doxygen will put a list of
+# the files that are included by a file in the documentation of that file.
+# The default value is: YES.
+
+SHOW_INCLUDE_FILES = YES
+
+# If the SHOW_GROUPED_MEMB_INC tag is set to YES then Doxygen will add for each
+# grouped member an include statement to the documentation, telling the reader
+# which file to include in order to use the member.
+# The default value is: NO.
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+SHOW_GROUPED_MEMB_INC = NO
+
+# If the FORCE_LOCAL_INCLUDES tag is set to YES then doxygen will list include
+# files with double quotes in the documentation rather than with sharp brackets.
+# The default value is: NO.
+
+FORCE_LOCAL_INCLUDES = NO
+
+# If the INLINE_INFO tag is set to YES then a tag [inline] is inserted in the
+# documentation for inline members.
+# The default value is: YES.
+
+INLINE_INFO = YES
+
+# If the SORT_MEMBER_DOCS tag is set to YES then doxygen will sort the
+# (detailed) documentation of file and class members alphabetically by member
+# name. If set to NO, the members will appear in declaration order.
+# The default value is: YES.
+
+SORT_MEMBER_DOCS = YES
+
+# If the SORT_BRIEF_DOCS tag is set to YES then doxygen will sort the brief
+# descriptions of file, namespace and class members alphabetically by member
+# name. If set to NO, the members will appear in declaration order. Note that
+# this will also influence the order of the classes in the class list.
+# The default value is: NO.
+
+SORT_BRIEF_DOCS = NO
+
+# If the SORT_MEMBERS_CTORS_1ST tag is set to YES then doxygen will sort the
+# (brief and detailed) documentation of class members so that constructors and
+# destructors are listed first. If set to NO the constructors will appear in the
+# respective orders defined by SORT_BRIEF_DOCS and SORT_MEMBER_DOCS.
+# Note: If SORT_BRIEF_DOCS is set to NO this option is ignored for sorting brief
+# member documentation.
+# Note: If SORT_MEMBER_DOCS is set to NO this option is ignored for sorting
+# detailed member documentation.
+# The default value is: NO.
+
+SORT_MEMBERS_CTORS_1ST = NO
+
+# If the SORT_GROUP_NAMES tag is set to YES then doxygen will sort the hierarchy
+# of group names into alphabetical order. If set to NO the group names will
+# appear in their defined order.
+# The default value is: NO.
+
+SORT_GROUP_NAMES = YES
+
+# If the SORT_BY_SCOPE_NAME tag is set to YES, the class list will be sorted by
+# fully-qualified names, including namespaces. If set to NO, the class list will
+# be sorted only by class name, not including the namespace part.
+# Note: This option is not very useful if HIDE_SCOPE_NAMES is set to YES.
+# Note: This option applies only to the class list, not to the alphabetical
+# list.
+# The default value is: NO.
+
+SORT_BY_SCOPE_NAME = NO
+
+# If the STRICT_PROTO_MATCHING option is enabled and doxygen fails to do proper
+# type resolution of all parameters of a function it will reject a match between
+# the prototype and the implementation of a member function even if there is
+# only one candidate or it is obvious which candidate to choose by doing a
+# simple string match. By disabling STRICT_PROTO_MATCHING doxygen will still
+# accept a match between prototype and implementation in such cases.
+# The default value is: NO.
+
+STRICT_PROTO_MATCHING = NO
+
+# The GENERATE_TODOLIST tag can be used to enable (YES) or disable (NO) the todo
+# list. This list is created by putting \todo commands in the documentation.
+# The default value is: YES.
+
+GENERATE_TODOLIST = YES
+
+# The GENERATE_TESTLIST tag can be used to enable (YES) or disable (NO) the test
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+# The default value is: YES.
+
+GENERATE_TESTLIST = YES
+
+# The GENERATE_BUGLIST tag can be used to enable (YES) or disable (NO) the bug
+# list. This list is created by putting \bug commands in the documentation.
+# The default value is: YES.
+
+GENERATE_BUGLIST = YES
+
+# The GENERATE_DEPRECATEDLIST tag can be used to enable (YES) or disable (NO)
+# the deprecated list. This list is created by putting \deprecated commands in
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+# The default value is: YES.
+
+GENERATE_DEPRECATEDLIST= YES
+
+# The ENABLED_SECTIONS tag can be used to enable conditional documentation
+# sections, marked by \if <section_label> ... \endif and \cond <section_label>
+# ... \endcond blocks.
+
+ENABLED_SECTIONS =
+
+# The MAX_INITIALIZER_LINES tag determines the maximum number of lines that the
+# initial value of a variable or macro / define can have for it to appear in the
+# documentation. If the initializer consists of more lines than specified here
+# it will be hidden. Use a value of 0 to hide initializers completely. The
+# appearance of the value of individual variables and macros / defines can be
+# controlled using \showinitializer or \hideinitializer command in the
+# documentation regardless of this setting.
+# Minimum value: 0, maximum value: 10000, default value: 30.
+
+MAX_INITIALIZER_LINES = 30
+
+# Set the SHOW_USED_FILES tag to NO to disable the list of files generated at
+# the bottom of the documentation of classes and structs. If set to YES, the
+# list will mention the files that were used to generate the documentation.
+# The default value is: YES.
+
+SHOW_USED_FILES = YES
+
+# Set the SHOW_FILES tag to NO to disable the generation of the Files page. This
+# will remove the Files entry from the Quick Index and from the Folder Tree View
+# (if specified).
+# The default value is: YES.
+
+SHOW_FILES = YES
+
+# Set the SHOW_NAMESPACES tag to NO to disable the generation of the Namespaces
+# page. This will remove the Namespaces entry from the Quick Index and from the
+# Folder Tree View (if specified).
+# The default value is: YES.
+
+SHOW_NAMESPACES = YES
+
+# The FILE_VERSION_FILTER tag can be used to specify a program or script that
+# doxygen should invoke to get the current version for each file (typically from
+# the version control system). Doxygen will invoke the program by executing (via
+# popen()) the command command input-file, where command is the value of the
+# FILE_VERSION_FILTER tag, and input-file is the name of an input file provided
+# by doxygen. Whatever the program writes to standard output is used as the file
+# version. For an example see the documentation.
+
+FILE_VERSION_FILTER =
+
+# The LAYOUT_FILE tag can be used to specify a layout file which will be parsed
+# by doxygen. The layout file controls the global structure of the generated
+# output files in an output format independent way. To create the layout file
+# that represents doxygen's defaults, run doxygen with the -l option. You can
+# optionally specify a file name after the option, if omitted DoxygenLayout.xml
+# will be used as the name of the layout file.
+#
+# Note that if you run doxygen from a directory containing a file called
+# DoxygenLayout.xml, doxygen will parse it automatically even if the LAYOUT_FILE
+# tag is left empty.
+
+LAYOUT_FILE =
+
+# The CITE_BIB_FILES tag can be used to specify one or more bib files containing
+# the reference definitions. This must be a list of .bib files. The .bib
+# extension is automatically appended if omitted. This requires the bibtex tool
+# to be installed. See also https://en.wikipedia.org/wiki/BibTeX for more info.
+# For LaTeX the style of the bibliography can be controlled using
+# LATEX_BIB_STYLE. To use this feature you need bibtex and perl available in the
+# search path. See also \cite for info how to create references.
+
+CITE_BIB_FILES =
+
+#---------------------------------------------------------------------------
+# Configuration options related to warning and progress messages
+#---------------------------------------------------------------------------
+
+# The QUIET tag can be used to turn on/off the messages that are generated to
+# standard output by doxygen. If QUIET is set to YES this implies that the
+# messages are off.
+# The default value is: NO.
+
+QUIET = NO
+
+# The WARNINGS tag can be used to turn on/off the warning messages that are
+# generated to standard error (stderr) by doxygen. If WARNINGS is set to YES
+# this implies that the warnings are on.
+#
+# Tip: Turn warnings on while writing the documentation.
+# The default value is: YES.
+
+WARNINGS = YES
+
+# If the WARN_IF_UNDOCUMENTED tag is set to YES then doxygen will generate
+# warnings for undocumented members. If EXTRACT_ALL is set to YES then this flag
+# will automatically be disabled.
+# The default value is: YES.
+
+WARN_IF_UNDOCUMENTED = YES
+
+# If the WARN_IF_DOC_ERROR tag is set to YES, doxygen will generate warnings for
+# potential errors in the documentation, such as not documenting some parameters
+# in a documented function, or documenting parameters that don't exist or using
+# markup commands wrongly.
+# The default value is: YES.
+
+WARN_IF_DOC_ERROR = YES
+
+# This WARN_NO_PARAMDOC option can be enabled to get warnings for functions that
+# are documented, but have no documentation for their parameters or return
+# value. If set to NO, doxygen will only warn about wrong or incomplete
+# parameter documentation, but not about the absence of documentation. If
+# EXTRACT_ALL is set to YES then this flag will automatically be disabled.
+# The default value is: NO.
+
+WARN_NO_PARAMDOC = NO
+
+# If the WARN_AS_ERROR tag is set to YES then doxygen will immediately stop when
+# a warning is encountered.
+# The default value is: NO.
+
+WARN_AS_ERROR = NO
+
+# The WARN_FORMAT tag determines the format of the warning messages that doxygen
+# can produce. The string should contain the $file, $line, and $text tags, which
+# will be replaced by the file and line number from which the warning originated
+# and the warning text. Optionally the format may contain $version, which will
+# be replaced by the version of the file (if it could be obtained via
+# FILE_VERSION_FILTER)
+# The default value is: $file:$line: $text.
+
+WARN_FORMAT = "$file:$line: $text"
+
+# The WARN_LOGFILE tag can be used to specify a file to which warning and error
+# messages should be written. If left blank the output is written to standard
+# error (stderr).
+
+WARN_LOGFILE =
+
+#---------------------------------------------------------------------------
+# Configuration options related to the input files
+#---------------------------------------------------------------------------
+
+# The INPUT tag is used to specify the files and/or directories that contain
+# documented source files. You may enter file names like myfile.cpp or
+# directories like /usr/src/myproject. Separate the files or directories with
+# spaces. See also FILE_PATTERNS and EXTENSION_MAPPING
+# Note: If this tag is empty the current directory is searched.
+
+INPUT = . \
+ .\..\..\..\..\RcdMathLib \
+ .\..\..\..\linear_algebra\doc.txt \
+ .\..\..\..\linear_algebra\basic_operations\doc.txt \
+ .\..\..\..\linear_algebra\matrix_decompositions\doc.txt \
+ .\..\..\..\linear_algebra\utilities\doc.txt \
+ .\..\..\..\linear_algebra\pseudo_inverse\doc.txt \
+ .\..\..\..\linear_algebra\solve_linear_equations\doc.txt \
+ .\..\..\..\localization\doc.txt \
+ .\..\..\..\localization\position_algos\doc.txt \
+ .\..\..\..\localization\position_algos\distance_based\doc.txt \
+ .\..\..\..\localization\position_algos\magnetic_based\doc.txt \
+ .\..\..\..\localization\position_algos\pos_algos_common\doc.txt \
+ .\..\..\..\localization\position_optimization\doc.txt \
+ .\..\..\..\non_linear_algebra\doc.txt \
+ .\..\..\..\non_linear_algebra\solve_non_linear_equations\doc.txt \
+ .\..\..\..\non_linear_algebra\optimization\doc.txt \
+ .\..\..\..\examples\doc.txt
+
+# This tag can be used to specify the character encoding of the source files
+# that doxygen parses. Internally doxygen uses the UTF-8 encoding. Doxygen uses
+# libiconv (or the iconv built into libc) for the transcoding. See the libiconv
+# documentation (see: https://www.gnu.org/software/libiconv/) for the list of
+# possible encodings.
+# The default value is: UTF-8.
+
+INPUT_ENCODING = UTF-8
+
+# If the value of the INPUT tag contains directories, you can use the
+# FILE_PATTERNS tag to specify one or more wildcard patterns (like *.cpp and
+# *.h) to filter out the source-files in the directories.
+#
+# Note that for custom extensions or not directly supported extensions you also
+# need to set EXTENSION_MAPPING for the extension otherwise the files are not
+# read by doxygen.
+#
+# If left blank the following patterns are tested:*.c, *.cc, *.cxx, *.cpp,
+# *.c++, *.java, *.ii, *.ixx, *.ipp, *.i++, *.inl, *.idl, *.ddl, *.odl, *.h,
+# *.hh, *.hxx, *.hpp, *.h++, *.cs, *.d, *.php, *.php4, *.php5, *.phtml, *.inc,
+# *.m, *.markdown, *.md, *.mm, *.dox, *.py, *.pyw, *.f90, *.f95, *.f03, *.f08,
+# *.f, *.for, *.tcl, *.vhd, *.vhdl, *.ucf, *.qsf and *.ice.
+
+FILE_PATTERNS = *.c \
+ *.cc \
+ *.cxx \
+ *.cpp \
+ *.c++ \
+ *.java \
+ *.ii \
+ *.ixx \
+ *.ipp \
+ *.i++ \
+ *.inl \
+ *.idl \
+ *.ddl \
+ *.odl \
+ *.h \
+ *.hh \
+ *.hxx \
+ *.hpp \
+ *.h++ \
+ *.cs \
+ *.d \
+ *.php \
+ *.php4 \
+ *.php5 \
+ *.phtml \
+ *.inc \
+ *.m \
+ *.markdown \
+ *.md \
+ *.mm \
+ *.dox \
+ *.py \
+ *.pyw \
+ *.f90 \
+ *.f95 \
+ *.f03 \
+ *.f08 \
+ *.f \
+ *.for \
+ *.tcl \
+ *.vhd \
+ *.vhdl \
+ *.ucf \
+ *.qsf \
+ *.ice
+
+# The RECURSIVE tag can be used to specify whether or not subdirectories should
+# be searched for input files as well.
+# The default value is: NO.
+
+RECURSIVE = YES
+
+# The EXCLUDE tag can be used to specify files and/or directories that should be
+# excluded from the INPUT source files. This way you can easily exclude a
+# subdirectory from a directory tree whose root is specified with the INPUT tag.
+#
+# Note that relative paths are relative to the directory from which doxygen is
+# run.
+
+EXCLUDE =
+
+# The EXCLUDE_SYMLINKS tag can be used to select whether or not files or
+# directories that are symbolic links (a Unix file system feature) are excluded
+# from the input.
+# The default value is: NO.
+
+EXCLUDE_SYMLINKS = NO
+
+# If the value of the INPUT tag contains directories, you can use the
+# EXCLUDE_PATTERNS tag to specify one or more wildcard patterns to exclude
+# certain files from those directories.
+#
+# Note that the wildcards are matched against the file with absolute path, so to
+# exclude all test directories for example use the pattern */test/*
+
+EXCLUDE_PATTERNS =
+
+# The EXCLUDE_SYMBOLS tag can be used to specify one or more symbol names
+# (namespaces, classes, functions, etc.) that should be excluded from the
+# output. The symbol name can be a fully qualified name, a word, or if the
+# wildcard * is used, a substring. Examples: ANamespace, AClass,
+# AClass::ANamespace, ANamespace::*Test
+#
+# Note that the wildcards are matched against the file with absolute path, so to
+# exclude all test directories use the pattern */test/*
+
+EXCLUDE_SYMBOLS =
+
+# The EXAMPLE_PATH tag can be used to specify one or more files or directories
+# that contain example code fragments that are included (see the \include
+# command).
+
+EXAMPLE_PATH =
+
+# If the value of the EXAMPLE_PATH tag contains directories, you can use the
+# EXAMPLE_PATTERNS tag to specify one or more wildcard pattern (like *.cpp and
+# *.h) to filter out the source-files in the directories. If left blank all
+# files are included.
+
+EXAMPLE_PATTERNS = *
+
+# If the EXAMPLE_RECURSIVE tag is set to YES then subdirectories will be
+# searched for input files to be used with the \include or \dontinclude commands
+# irrespective of the value of the RECURSIVE tag.
+# The default value is: NO.
+
+EXAMPLE_RECURSIVE = NO
+
+# The IMAGE_PATH tag can be used to specify one or more files or directories
+# that contain images that are to be included in the documentation (see the
+# \image command).
+
+IMAGE_PATH = ./figures/
+
+# The INPUT_FILTER tag can be used to specify a program that doxygen should
+# invoke to filter for each input file. Doxygen will invoke the filter program
+# by executing (via popen()) the command:
+#
+# <filter> <input-file>
+#
+# where <filter> is the value of the INPUT_FILTER tag, and <input-file> is the
+# name of an input file. Doxygen will then use the output that the filter
+# program writes to standard output. If FILTER_PATTERNS is specified, this tag
+# will be ignored.
+#
+# Note that the filter must not add or remove lines; it is applied before the
+# code is scanned, but not when the output code is generated. If lines are added
+# or removed, the anchors will not be placed correctly.
+#
+# Note that for custom extensions or not directly supported extensions you also
+# need to set EXTENSION_MAPPING for the extension otherwise the files are not
+# properly processed by doxygen.
+
+INPUT_FILTER =
+
+# The FILTER_PATTERNS tag can be used to specify filters on a per file pattern
+# basis. Doxygen will compare the file name with each pattern and apply the
+# filter if there is a match. The filters are a list of the form: pattern=filter
+# (like *.cpp=my_cpp_filter). See INPUT_FILTER for further information on how
+# filters are used. If the FILTER_PATTERNS tag is empty or if none of the
+# patterns match the file name, INPUT_FILTER is applied.
+#
+# Note that for custom extensions or not directly supported extensions you also
+# need to set EXTENSION_MAPPING for the extension otherwise the files are not
+# properly processed by doxygen.
+
+FILTER_PATTERNS =
+
+# If the FILTER_SOURCE_FILES tag is set to YES, the input filter (if set using
+# INPUT_FILTER) will also be used to filter the input files that are used for
+# producing the source files to browse (i.e. when SOURCE_BROWSER is set to YES).
+# The default value is: NO.
+
+FILTER_SOURCE_FILES = NO
+
+# The FILTER_SOURCE_PATTERNS tag can be used to specify source filters per file
+# pattern. A pattern will override the setting for FILTER_PATTERN (if any) and
+# it is also possible to disable source filtering for a specific pattern using
+# *.ext= (so without naming a filter).
+# This tag requires that the tag FILTER_SOURCE_FILES is set to YES.
+
+FILTER_SOURCE_PATTERNS =
+
+# If the USE_MDFILE_AS_MAINPAGE tag refers to the name of a markdown file that
+# is part of the input, its contents will be placed on the main page
+# (index.html). This can be useful if you have a project on for instance GitHub
+# and want to reuse the introduction page also for the doxygen output.
+
+USE_MDFILE_AS_MAINPAGE =
+
+#---------------------------------------------------------------------------
+# Configuration options related to source browsing
+#---------------------------------------------------------------------------
+
+# If the SOURCE_BROWSER tag is set to YES then a list of source files will be
+# generated. Documented entities will be cross-referenced with these sources.
+#
+# Note: To get rid of all source code in the generated output, make sure that
+# also VERBATIM_HEADERS is set to NO.
+# The default value is: NO.
+
+SOURCE_BROWSER = YES
+
+# Setting the INLINE_SOURCES tag to YES will include the body of functions,
+# classes and enums directly into the documentation.
+# The default value is: NO.
+
+INLINE_SOURCES = NO
+
+# Setting the STRIP_CODE_COMMENTS tag to YES will instruct doxygen to hide any
+# special comment blocks from generated source code fragments. Normal C, C++ and
+# Fortran comments will always remain visible.
+# The default value is: YES.
+
+STRIP_CODE_COMMENTS = YES
+
+# If the REFERENCED_BY_RELATION tag is set to YES then for each documented
+# entity all documented functions referencing it will be listed.
+# The default value is: NO.
+
+REFERENCED_BY_RELATION = YES
+
+# If the REFERENCES_RELATION tag is set to YES then for each documented function
+# all documented entities called/used by that function will be listed.
+# The default value is: NO.
+
+REFERENCES_RELATION = YES
+
+# If the REFERENCES_LINK_SOURCE tag is set to YES and SOURCE_BROWSER tag is set
+# to YES then the hyperlinks from functions in REFERENCES_RELATION and
+# REFERENCED_BY_RELATION lists will link to the source code. Otherwise they will
+# link to the documentation.
+# The default value is: YES.
+
+REFERENCES_LINK_SOURCE = YES
+
+# If SOURCE_TOOLTIPS is enabled (the default) then hovering a hyperlink in the
+# source code will show a tooltip with additional information such as prototype,
+# brief description and links to the definition and documentation. Since this
+# will make the HTML file larger and loading of large files a bit slower, you
+# can opt to disable this feature.
+# The default value is: YES.
+# This tag requires that the tag SOURCE_BROWSER is set to YES.
+
+SOURCE_TOOLTIPS = YES
+
+# If the USE_HTAGS tag is set to YES then the references to source code will
+# point to the HTML generated by the htags(1) tool instead of doxygen built-in
+# source browser. The htags tool is part of GNU's global source tagging system
+# (see https://www.gnu.org/software/global/global.html). You will need version
+# 4.8.6 or higher.
+#
+# To use it do the following:
+# - Install the latest version of global
+# - Enable SOURCE_BROWSER and USE_HTAGS in the configuration file
+# - Make sure the INPUT points to the root of the source tree
+# - Run doxygen as normal
+#
+# Doxygen will invoke htags (and that will in turn invoke gtags), so these
+# tools must be available from the command line (i.e. in the search path).
+#
+# The result: instead of the source browser generated by doxygen, the links to
+# source code will now point to the output of htags.
+# The default value is: NO.
+# This tag requires that the tag SOURCE_BROWSER is set to YES.
+
+USE_HTAGS = NO
+
+# If the VERBATIM_HEADERS tag is set the YES then doxygen will generate a
+# verbatim copy of the header file for each class for which an include is
+# specified. Set to NO to disable this.
+# See also: Section \class.
+# The default value is: YES.
+
+VERBATIM_HEADERS = YES
+
+# If the CLANG_ASSISTED_PARSING tag is set to YES then doxygen will use the
+# clang parser (see: http://clang.llvm.org/) for more accurate parsing at the
+# cost of reduced performance. This can be particularly helpful with template
+# rich C++ code for which doxygen's built-in parser lacks the necessary type
+# information.
+# Note: The availability of this option depends on whether or not doxygen was
+# generated with the -Duse_libclang=ON option for CMake.
+# The default value is: NO.
+
+CLANG_ASSISTED_PARSING = NO
+
+# If clang assisted parsing is enabled you can provide the compiler with command
+# line options that you would normally use when invoking the compiler. Note that
+# the include paths will already be set by doxygen for the files and directories
+# specified with INPUT and INCLUDE_PATH.
+# This tag requires that the tag CLANG_ASSISTED_PARSING is set to YES.
+
+CLANG_OPTIONS =
+
+# If clang assisted parsing is enabled you can provide the clang parser with the
+# path to the compilation database (see:
+# http://clang.llvm.org/docs/HowToSetupToolingForLLVM.html) used when the files
+# were built. This is equivalent to specifying the "-p" option to a clang tool,
+# such as clang-check. These options will then be passed to the parser.
+# Note: The availability of this option depends on whether or not doxygen was
+# generated with the -Duse_libclang=ON option for CMake.
+
+CLANG_DATABASE_PATH =
+
+#---------------------------------------------------------------------------
+# Configuration options related to the alphabetical class index
+#---------------------------------------------------------------------------
+
+# If the ALPHABETICAL_INDEX tag is set to YES, an alphabetical index of all
+# compounds will be generated. Enable this if the project contains a lot of
+# classes, structs, unions or interfaces.
+# The default value is: YES.
+
+ALPHABETICAL_INDEX = YES
+
+# The COLS_IN_ALPHA_INDEX tag can be used to specify the number of columns in
+# which the alphabetical index list will be split.
+# Minimum value: 1, maximum value: 20, default value: 5.
+# This tag requires that the tag ALPHABETICAL_INDEX is set to YES.
+
+COLS_IN_ALPHA_INDEX = 5
+
+# In case all classes in a project start with a common prefix, all classes will
+# be put under the same header in the alphabetical index. The IGNORE_PREFIX tag
+# can be used to specify a prefix (or a list of prefixes) that should be ignored
+# while generating the index headers.
+# This tag requires that the tag ALPHABETICAL_INDEX is set to YES.
+
+IGNORE_PREFIX =
+
+#---------------------------------------------------------------------------
+# Configuration options related to the HTML output
+#---------------------------------------------------------------------------
+
+# If the GENERATE_HTML tag is set to YES, doxygen will generate HTML output
+# The default value is: YES.
+
+GENERATE_HTML = YES
+
+# The HTML_OUTPUT tag is used to specify where the HTML docs will be put. If a
+# relative path is entered the value of OUTPUT_DIRECTORY will be put in front of
+# it.
+# The default directory is: html.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+HTML_OUTPUT = html
+
+# The HTML_FILE_EXTENSION tag can be used to specify the file extension for each
+# generated HTML page (for example: .htm, .php, .asp).
+# The default value is: .html.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+HTML_FILE_EXTENSION = .html
+
+# The HTML_HEADER tag can be used to specify a user-defined HTML header file for
+# each generated HTML page. If the tag is left blank doxygen will generate a
+# standard header.
+#
+# To get valid HTML the header file that includes any scripts and style sheets
+# that doxygen needs, which is dependent on the configuration options used (e.g.
+# the setting GENERATE_TREEVIEW). It is highly recommended to start with a
+# default header using
+# doxygen -w html new_header.html new_footer.html new_stylesheet.css
+# YourConfigFile
+# and then modify the file new_header.html. See also section "Doxygen usage"
+# for information on how to generate the default header that doxygen normally
+# uses.
+# Note: The header is subject to change so you typically have to regenerate the
+# default header when upgrading to a newer version of doxygen. For a description
+# of the possible markers and block names see the documentation.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+HTML_HEADER =
+
+# The HTML_FOOTER tag can be used to specify a user-defined HTML footer for each
+# generated HTML page. If the tag is left blank doxygen will generate a standard
+# footer. See HTML_HEADER for more information on how to generate a default
+# footer and what special commands can be used inside the footer. See also
+# section "Doxygen usage" for information on how to generate the default footer
+# that doxygen normally uses.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+HTML_FOOTER =
+
+# The HTML_STYLESHEET tag can be used to specify a user-defined cascading style
+# sheet that is used by each HTML page. It can be used to fine-tune the look of
+# the HTML output. If left blank doxygen will generate a default style sheet.
+# See also section "Doxygen usage" for information on how to generate the style
+# sheet that doxygen normally uses.
+# Note: It is recommended to use HTML_EXTRA_STYLESHEET instead of this tag, as
+# it is more robust and this tag (HTML_STYLESHEET) will in the future become
+# obsolete.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+HTML_STYLESHEET =
+
+# The HTML_EXTRA_STYLESHEET tag can be used to specify additional user-defined
+# cascading style sheets that are included after the standard style sheets
+# created by doxygen. Using this option one can overrule certain style aspects.
+# This is preferred over using HTML_STYLESHEET since it does not replace the
+# standard style sheet and is therefore more robust against future updates.
+# Doxygen will copy the style sheet files to the output directory.
+# Note: The order of the extra style sheet files is of importance (e.g. the last
+# style sheet in the list overrules the setting of the previous ones in the
+# list). For an example see the documentation.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+HTML_EXTRA_STYLESHEET =
+
+# The HTML_EXTRA_FILES tag can be used to specify one or more extra images or
+# other source files which should be copied to the HTML output directory. Note
+# that these files will be copied to the base HTML output directory. Use the
+# $relpath^ marker in the HTML_HEADER and/or HTML_FOOTER files to load these
+# files. In the HTML_STYLESHEET file, use the file name only. Also note that the
+# files will be copied as-is; there are no commands or markers available.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+HTML_EXTRA_FILES =
+
+# The HTML_COLORSTYLE_HUE tag controls the color of the HTML output. Doxygen
+# will adjust the colors in the style sheet and background images according to
+# this color. Hue is specified as an angle on a colorwheel, see
+# https://en.wikipedia.org/wiki/Hue for more information. For instance the value
+# 0 represents red, 60 is yellow, 120 is green, 180 is cyan, 240 is blue, 300
+# purple, and 360 is red again.
+# Minimum value: 0, maximum value: 359, default value: 220.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+HTML_COLORSTYLE_HUE = 220
+
+# The HTML_COLORSTYLE_SAT tag controls the purity (or saturation) of the colors
+# in the HTML output. For a value of 0 the output will use grayscales only. A
+# value of 255 will produce the most vivid colors.
+# Minimum value: 0, maximum value: 255, default value: 100.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+HTML_COLORSTYLE_SAT = 100
+
+# The HTML_COLORSTYLE_GAMMA tag controls the gamma correction applied to the
+# luminance component of the colors in the HTML output. Values below 100
+# gradually make the output lighter, whereas values above 100 make the output
+# darker. The value divided by 100 is the actual gamma applied, so 80 represents
+# a gamma of 0.8, The value 220 represents a gamma of 2.2, and 100 does not
+# change the gamma.
+# Minimum value: 40, maximum value: 240, default value: 80.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+HTML_COLORSTYLE_GAMMA = 80
+
+# If the HTML_TIMESTAMP tag is set to YES then the footer of each generated HTML
+# page will contain the date and time when the page was generated. Setting this
+# to YES can help to show when doxygen was last run and thus if the
+# documentation is up to date.
+# The default value is: NO.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+HTML_TIMESTAMP = NO
+
+# If the HTML_DYNAMIC_MENUS tag is set to YES then the generated HTML
+# documentation will contain a main index with vertical navigation menus that
+# are dynamically created via Javascript. If disabled, the navigation index will
+# consists of multiple levels of tabs that are statically embedded in every HTML
+# page. Disable this option to support browsers that do not have Javascript,
+# like the Qt help browser.
+# The default value is: YES.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+HTML_DYNAMIC_MENUS = YES
+
+# If the HTML_DYNAMIC_SECTIONS tag is set to YES then the generated HTML
+# documentation will contain sections that can be hidden and shown after the
+# page has loaded.
+# The default value is: NO.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+HTML_DYNAMIC_SECTIONS = NO
+
+# With HTML_INDEX_NUM_ENTRIES one can control the preferred number of entries
+# shown in the various tree structured indices initially; the user can expand
+# and collapse entries dynamically later on. Doxygen will expand the tree to
+# such a level that at most the specified number of entries are visible (unless
+# a fully collapsed tree already exceeds this amount). So setting the number of
+# entries 1 will produce a full collapsed tree by default. 0 is a special value
+# representing an infinite number of entries and will result in a full expanded
+# tree by default.
+# Minimum value: 0, maximum value: 9999, default value: 100.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+HTML_INDEX_NUM_ENTRIES = 100
+
+# If the GENERATE_DOCSET tag is set to YES, additional index files will be
+# generated that can be used as input for Apple's Xcode 3 integrated development
+# environment (see: https://developer.apple.com/xcode/), introduced with OSX
+# 10.5 (Leopard). To create a documentation set, doxygen will generate a
+# Makefile in the HTML output directory. Running make will produce the docset in
+# that directory and running make install will install the docset in
+# ~/Library/Developer/Shared/Documentation/DocSets so that Xcode will find it at
+# startup. See https://developer.apple.com/library/archive/featuredarticles/Doxy
+# genXcode/_index.html for more information.
+# The default value is: NO.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+GENERATE_DOCSET = NO
+
+# This tag determines the name of the docset feed. A documentation feed provides
+# an umbrella under which multiple documentation sets from a single provider
+# (such as a company or product suite) can be grouped.
+# The default value is: Doxygen generated docs.
+# This tag requires that the tag GENERATE_DOCSET is set to YES.
+
+DOCSET_FEEDNAME = "Doxygen generated docs"
+
+# This tag specifies a string that should uniquely identify the documentation
+# set bundle. This should be a reverse domain-name style string, e.g.
+# com.mycompany.MyDocSet. Doxygen will append .docset to the name.
+# The default value is: org.doxygen.Project.
+# This tag requires that the tag GENERATE_DOCSET is set to YES.
+
+DOCSET_BUNDLE_ID = org.doxygen.Project
+
+# The DOCSET_PUBLISHER_ID tag specifies a string that should uniquely identify
+# the documentation publisher. This should be a reverse domain-name style
+# string, e.g. com.mycompany.MyDocSet.documentation.
+# The default value is: org.doxygen.Publisher.
+# This tag requires that the tag GENERATE_DOCSET is set to YES.
+
+DOCSET_PUBLISHER_ID = org.doxygen.Publisher
+
+# The DOCSET_PUBLISHER_NAME tag identifies the documentation publisher.
+# The default value is: Publisher.
+# This tag requires that the tag GENERATE_DOCSET is set to YES.
+
+DOCSET_PUBLISHER_NAME = Publisher
+
+# If the GENERATE_HTMLHELP tag is set to YES then doxygen generates three
+# additional HTML index files: index.hhp, index.hhc, and index.hhk. The
+# index.hhp is a project file that can be read by Microsoft's HTML Help Workshop
+# (see: https://www.microsoft.com/en-us/download/details.aspx?id=21138) on
+# Windows.
+#
+# The HTML Help Workshop contains a compiler that can convert all HTML output
+# generated by doxygen into a single compiled HTML file (.chm). Compiled HTML
+# files are now used as the Windows 98 help format, and will replace the old
+# Windows help format (.hlp) on all Windows platforms in the future. Compressed
+# HTML files also contain an index, a table of contents, and you can search for
+# words in the documentation. The HTML workshop also contains a viewer for
+# compressed HTML files.
+# The default value is: NO.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+GENERATE_HTMLHELP = NO
+
+# The CHM_FILE tag can be used to specify the file name of the resulting .chm
+# file. You can add a path in front of the file if the result should not be
+# written to the html output directory.
+# This tag requires that the tag GENERATE_HTMLHELP is set to YES.
+
+CHM_FILE =
+
+# The HHC_LOCATION tag can be used to specify the location (absolute path
+# including file name) of the HTML help compiler (hhc.exe). If non-empty,
+# doxygen will try to run the HTML help compiler on the generated index.hhp.
+# The file has to be specified with full path.
+# This tag requires that the tag GENERATE_HTMLHELP is set to YES.
+
+HHC_LOCATION =
+
+# The GENERATE_CHI flag controls if a separate .chi index file is generated
+# (YES) or that it should be included in the master .chm file (NO).
+# The default value is: NO.
+# This tag requires that the tag GENERATE_HTMLHELP is set to YES.
+
+GENERATE_CHI = NO
+
+# The CHM_INDEX_ENCODING is used to encode HtmlHelp index (hhk), content (hhc)
+# and project file content.
+# This tag requires that the tag GENERATE_HTMLHELP is set to YES.
+
+CHM_INDEX_ENCODING =
+
+# The BINARY_TOC flag controls whether a binary table of contents is generated
+# (YES) or a normal table of contents (NO) in the .chm file. Furthermore it
+# enables the Previous and Next buttons.
+# The default value is: NO.
+# This tag requires that the tag GENERATE_HTMLHELP is set to YES.
+
+BINARY_TOC = NO
+
+# The TOC_EXPAND flag can be set to YES to add extra items for group members to
+# the table of contents of the HTML help documentation and to the tree view.
+# The default value is: NO.
+# This tag requires that the tag GENERATE_HTMLHELP is set to YES.
+
+TOC_EXPAND = NO
+
+# If the GENERATE_QHP tag is set to YES and both QHP_NAMESPACE and
+# QHP_VIRTUAL_FOLDER are set, an additional index file will be generated that
+# can be used as input for Qt's qhelpgenerator to generate a Qt Compressed Help
+# (.qch) of the generated HTML documentation.
+# The default value is: NO.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+GENERATE_QHP = NO
+
+# If the QHG_LOCATION tag is specified, the QCH_FILE tag can be used to specify
+# the file name of the resulting .qch file. The path specified is relative to
+# the HTML output folder.
+# This tag requires that the tag GENERATE_QHP is set to YES.
+
+QCH_FILE =
+
+# The QHP_NAMESPACE tag specifies the namespace to use when generating Qt Help
+# Project output. For more information please see Qt Help Project / Namespace
+# (see: https://doc.qt.io/archives/qt-4.8/qthelpproject.html#namespace).
+# The default value is: org.doxygen.Project.
+# This tag requires that the tag GENERATE_QHP is set to YES.
+
+QHP_NAMESPACE = org.doxygen.Project
+
+# The QHP_VIRTUAL_FOLDER tag specifies the namespace to use when generating Qt
+# Help Project output. For more information please see Qt Help Project / Virtual
+# Folders (see: https://doc.qt.io/archives/qt-4.8/qthelpproject.html#virtual-
+# folders).
+# The default value is: doc.
+# This tag requires that the tag GENERATE_QHP is set to YES.
+
+QHP_VIRTUAL_FOLDER = doc
+
+# If the QHP_CUST_FILTER_NAME tag is set, it specifies the name of a custom
+# filter to add. For more information please see Qt Help Project / Custom
+# Filters (see: https://doc.qt.io/archives/qt-4.8/qthelpproject.html#custom-
+# filters).
+# This tag requires that the tag GENERATE_QHP is set to YES.
+
+QHP_CUST_FILTER_NAME =
+
+# The QHP_CUST_FILTER_ATTRS tag specifies the list of the attributes of the
+# custom filter to add. For more information please see Qt Help Project / Custom
+# Filters (see: https://doc.qt.io/archives/qt-4.8/qthelpproject.html#custom-
+# filters).
+# This tag requires that the tag GENERATE_QHP is set to YES.
+
+QHP_CUST_FILTER_ATTRS =
+
+# The QHP_SECT_FILTER_ATTRS tag specifies the list of the attributes this
+# project's filter section matches. Qt Help Project / Filter Attributes (see:
+# https://doc.qt.io/archives/qt-4.8/qthelpproject.html#filter-attributes).
+# This tag requires that the tag GENERATE_QHP is set to YES.
+
+QHP_SECT_FILTER_ATTRS =
+
+# The QHG_LOCATION tag can be used to specify the location of Qt's
+# qhelpgenerator. If non-empty doxygen will try to run qhelpgenerator on the
+# generated .qhp file.
+# This tag requires that the tag GENERATE_QHP is set to YES.
+
+QHG_LOCATION =
+
+# If the GENERATE_ECLIPSEHELP tag is set to YES, additional index files will be
+# generated, together with the HTML files, they form an Eclipse help plugin. To
+# install this plugin and make it available under the help contents menu in
+# Eclipse, the contents of the directory containing the HTML and XML files needs
+# to be copied into the plugins directory of eclipse. The name of the directory
+# within the plugins directory should be the same as the ECLIPSE_DOC_ID value.
+# After copying Eclipse needs to be restarted before the help appears.
+# The default value is: NO.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+GENERATE_ECLIPSEHELP = NO
+
+# A unique identifier for the Eclipse help plugin. When installing the plugin
+# the directory name containing the HTML and XML files should also have this
+# name. Each documentation set should have its own identifier.
+# The default value is: org.doxygen.Project.
+# This tag requires that the tag GENERATE_ECLIPSEHELP is set to YES.
+
+ECLIPSE_DOC_ID = org.doxygen.Project
+
+# If you want full control over the layout of the generated HTML pages it might
+# be necessary to disable the index and replace it with your own. The
+# DISABLE_INDEX tag can be used to turn on/off the condensed index (tabs) at top
+# of each HTML page. A value of NO enables the index and the value YES disables
+# it. Since the tabs in the index contain the same information as the navigation
+# tree, you can set this option to YES if you also set GENERATE_TREEVIEW to YES.
+# The default value is: NO.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+DISABLE_INDEX = NO
+
+# The GENERATE_TREEVIEW tag is used to specify whether a tree-like index
+# structure should be generated to display hierarchical information. If the tag
+# value is set to YES, a side panel will be generated containing a tree-like
+# index structure (just like the one that is generated for HTML Help). For this
+# to work a browser that supports JavaScript, DHTML, CSS and frames is required
+# (i.e. any modern browser). Windows users are probably better off using the
+# HTML help feature. Via custom style sheets (see HTML_EXTRA_STYLESHEET) one can
+# further fine-tune the look of the index. As an example, the default style
+# sheet generated by doxygen has an example that shows how to put an image at
+# the root of the tree instead of the PROJECT_NAME. Since the tree basically has
+# the same information as the tab index, you could consider setting
+# DISABLE_INDEX to YES when enabling this option.
+# The default value is: NO.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+GENERATE_TREEVIEW = YES
+
+# The ENUM_VALUES_PER_LINE tag can be used to set the number of enum values that
+# doxygen will group on one line in the generated HTML documentation.
+#
+# Note that a value of 0 will completely suppress the enum values from appearing
+# in the overview section.
+# Minimum value: 0, maximum value: 20, default value: 4.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+ENUM_VALUES_PER_LINE = 4
+
+# If the treeview is enabled (see GENERATE_TREEVIEW) then this tag can be used
+# to set the initial width (in pixels) of the frame in which the tree is shown.
+# Minimum value: 0, maximum value: 1500, default value: 250.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+TREEVIEW_WIDTH = 250
+
+# If the EXT_LINKS_IN_WINDOW option is set to YES, doxygen will open links to
+# external symbols imported via tag files in a separate window.
+# The default value is: NO.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+EXT_LINKS_IN_WINDOW = NO
+
+# Use this tag to change the font size of LaTeX formulas included as images in
+# the HTML documentation. When you change the font size after a successful
+# doxygen run you need to manually remove any form_*.png images from the HTML
+# output directory to force them to be regenerated.
+# Minimum value: 8, maximum value: 50, default value: 10.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+FORMULA_FONTSIZE = 10
+
+# Use the FORMULA_TRANSPARENT tag to determine whether or not the images
+# generated for formulas are transparent PNGs. Transparent PNGs are not
+# supported properly for IE 6.0, but are supported on all modern browsers.
+#
+# Note that when changing this option you need to delete any form_*.png files in
+# the HTML output directory before the changes have effect.
+# The default value is: YES.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+FORMULA_TRANSPARENT = YES
+
+# Enable the USE_MATHJAX option to render LaTeX formulas using MathJax (see
+# https://www.mathjax.org) which uses client side Javascript for the rendering
+# instead of using pre-rendered bitmaps. Use this if you do not have LaTeX
+# installed or if you want to formulas look prettier in the HTML output. When
+# enabled you may also need to install MathJax separately and configure the path
+# to it using the MATHJAX_RELPATH option.
+# The default value is: NO.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+USE_MATHJAX = NO
+
+# When MathJax is enabled you can set the default output format to be used for
+# the MathJax output. See the MathJax site (see:
+# http://docs.mathjax.org/en/latest/output.html) for more details.
+# Possible values are: HTML-CSS (which is slower, but has the best
+# compatibility), NativeMML (i.e. MathML) and SVG.
+# The default value is: HTML-CSS.
+# This tag requires that the tag USE_MATHJAX is set to YES.
+
+MATHJAX_FORMAT = HTML-CSS
+
+# When MathJax is enabled you need to specify the location relative to the HTML
+# output directory using the MATHJAX_RELPATH option. The destination directory
+# should contain the MathJax.js script. For instance, if the mathjax directory
+# is located at the same level as the HTML output directory, then
+# MATHJAX_RELPATH should be ../mathjax. The default value points to the MathJax
+# Content Delivery Network so you can quickly see the result without installing
+# MathJax. However, it is strongly recommended to install a local copy of
+# MathJax from https://www.mathjax.org before deployment.
+# The default value is: https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/.
+# This tag requires that the tag USE_MATHJAX is set to YES.
+
+MATHJAX_RELPATH = https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/
+
+# The MATHJAX_EXTENSIONS tag can be used to specify one or more MathJax
+# extension names that should be enabled during MathJax rendering. For example
+# MATHJAX_EXTENSIONS = TeX/AMSmath TeX/AMSsymbols
+# This tag requires that the tag USE_MATHJAX is set to YES.
+
+MATHJAX_EXTENSIONS =
+
+# The MATHJAX_CODEFILE tag can be used to specify a file with javascript pieces
+# of code that will be used on startup of the MathJax code. See the MathJax site
+# (see: http://docs.mathjax.org/en/latest/output.html) for more details. For an
+# example see the documentation.
+# This tag requires that the tag USE_MATHJAX is set to YES.
+
+MATHJAX_CODEFILE =
+
+# When the SEARCHENGINE tag is enabled doxygen will generate a search box for
+# the HTML output. The underlying search engine uses javascript and DHTML and
+# should work on any modern browser. Note that when using HTML help
+# (GENERATE_HTMLHELP), Qt help (GENERATE_QHP), or docsets (GENERATE_DOCSET)
+# there is already a search function so this one should typically be disabled.
+# For large projects the javascript based search engine can be slow, then
+# enabling SERVER_BASED_SEARCH may provide a better solution. It is possible to
+# search using the keyboard; to jump to the search box use <access key> + S
+# (what the <access key> is depends on the OS and browser, but it is typically
+# <CTRL>, <ALT>/<option>, or both). Inside the search box use the <cursor down
+# key> to jump into the search results window, the results can be navigated
+# using the <cursor keys>. Press <Enter> to select an item or <escape> to cancel
+# the search. The filter options can be selected when the cursor is inside the
+# search box by pressing <Shift>+<cursor down>. Also here use the <cursor keys>
+# to select a filter and <Enter> or <escape> to activate or cancel the filter
+# option.
+# The default value is: YES.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+SEARCHENGINE = YES
+
+# When the SERVER_BASED_SEARCH tag is enabled the search engine will be
+# implemented using a web server instead of a web client using Javascript. There
+# are two flavors of web server based searching depending on the EXTERNAL_SEARCH
+# setting. When disabled, doxygen will generate a PHP script for searching and
+# an index file used by the script. When EXTERNAL_SEARCH is enabled the indexing
+# and searching needs to be provided by external tools. See the section
+# "External Indexing and Searching" for details.
+# The default value is: NO.
+# This tag requires that the tag SEARCHENGINE is set to YES.
+
+SERVER_BASED_SEARCH = NO
+
+# When EXTERNAL_SEARCH tag is enabled doxygen will no longer generate the PHP
+# script for searching. Instead the search results are written to an XML file
+# which needs to be processed by an external indexer. Doxygen will invoke an
+# external search engine pointed to by the SEARCHENGINE_URL option to obtain the
+# search results.
+#
+# Doxygen ships with an example indexer (doxyindexer) and search engine
+# (doxysearch.cgi) which are based on the open source search engine library
+# Xapian (see: https://xapian.org/).
+#
+# See the section "External Indexing and Searching" for details.
+# The default value is: NO.
+# This tag requires that the tag SEARCHENGINE is set to YES.
+
+EXTERNAL_SEARCH = NO
+
+# The SEARCHENGINE_URL should point to a search engine hosted by a web server
+# which will return the search results when EXTERNAL_SEARCH is enabled.
+#
+# Doxygen ships with an example indexer (doxyindexer) and search engine
+# (doxysearch.cgi) which are based on the open source search engine library
+# Xapian (see: https://xapian.org/). See the section "External Indexing and
+# Searching" for details.
+# This tag requires that the tag SEARCHENGINE is set to YES.
+
+SEARCHENGINE_URL =
+
+# When SERVER_BASED_SEARCH and EXTERNAL_SEARCH are both enabled the unindexed
+# search data is written to a file for indexing by an external tool. With the
+# SEARCHDATA_FILE tag the name of this file can be specified.
+# The default file is: searchdata.xml.
+# This tag requires that the tag SEARCHENGINE is set to YES.
+
+SEARCHDATA_FILE = searchdata.xml
+
+# When SERVER_BASED_SEARCH and EXTERNAL_SEARCH are both enabled the
+# EXTERNAL_SEARCH_ID tag can be used as an identifier for the project. This is
+# useful in combination with EXTRA_SEARCH_MAPPINGS to search through multiple
+# projects and redirect the results back to the right project.
+# This tag requires that the tag SEARCHENGINE is set to YES.
+
+EXTERNAL_SEARCH_ID =
+
+# The EXTRA_SEARCH_MAPPINGS tag can be used to enable searching through doxygen
+# projects other than the one defined by this configuration file, but that are
+# all added to the same external search index. Each project needs to have a
+# unique id set via EXTERNAL_SEARCH_ID. The search mapping then maps the id of
+# to a relative location where the documentation can be found. The format is:
+# EXTRA_SEARCH_MAPPINGS = tagname1=loc1 tagname2=loc2 ...
+# This tag requires that the tag SEARCHENGINE is set to YES.
+
+EXTRA_SEARCH_MAPPINGS =
+
+#---------------------------------------------------------------------------
+# Configuration options related to the LaTeX output
+#---------------------------------------------------------------------------
+
+# If the GENERATE_LATEX tag is set to YES, doxygen will generate LaTeX output.
+# The default value is: YES.
+
+GENERATE_LATEX = YES
+
+# The LATEX_OUTPUT tag is used to specify where the LaTeX docs will be put. If a
+# relative path is entered the value of OUTPUT_DIRECTORY will be put in front of
+# it.
+# The default directory is: latex.
+# This tag requires that the tag GENERATE_LATEX is set to YES.
+
+LATEX_OUTPUT = latex
+
+# The LATEX_CMD_NAME tag can be used to specify the LaTeX command name to be
+# invoked.
+#
+# Note that when not enabling USE_PDFLATEX the default is latex when enabling
+# USE_PDFLATEX the default is pdflatex and when in the later case latex is
+# chosen this is overwritten by pdflatex. For specific output languages the
+# default can have been set differently, this depends on the implementation of
+# the output language.
+# This tag requires that the tag GENERATE_LATEX is set to YES.
+
+LATEX_CMD_NAME =
+
+# The MAKEINDEX_CMD_NAME tag can be used to specify the command name to generate
+# index for LaTeX.
+# Note: This tag is used in the Makefile / make.bat.
+# See also: LATEX_MAKEINDEX_CMD for the part in the generated output file
+# (.tex).
+# The default file is: makeindex.
+# This tag requires that the tag GENERATE_LATEX is set to YES.
+
+MAKEINDEX_CMD_NAME = makeindex
+
+# The LATEX_MAKEINDEX_CMD tag can be used to specify the command name to
+# generate index for LaTeX. In case there is no backslash (\) as first character
+# it will be automatically added in the LaTeX code.
+# Note: This tag is used in the generated output file (.tex).
+# See also: MAKEINDEX_CMD_NAME for the part in the Makefile / make.bat.
+# The default value is: makeindex.
+# This tag requires that the tag GENERATE_LATEX is set to YES.
+
+LATEX_MAKEINDEX_CMD = makeindex
+
+# If the COMPACT_LATEX tag is set to YES, doxygen generates more compact LaTeX
+# documents. This may be useful for small projects and may help to save some
+# trees in general.
+# The default value is: NO.
+# This tag requires that the tag GENERATE_LATEX is set to YES.
+
+COMPACT_LATEX = NO
+
+# The PAPER_TYPE tag can be used to set the paper type that is used by the
+# printer.
+# Possible values are: a4 (210 x 297 mm), letter (8.5 x 11 inches), legal (8.5 x
+# 14 inches) and executive (7.25 x 10.5 inches).
+# The default value is: a4.
+# This tag requires that the tag GENERATE_LATEX is set to YES.
+
+PAPER_TYPE = a4
+
+# The EXTRA_PACKAGES tag can be used to specify one or more LaTeX package names
+# that should be included in the LaTeX output. The package can be specified just
+# by its name or with the correct syntax as to be used with the LaTeX
+# \usepackage command. To get the times font for instance you can specify :
+# EXTRA_PACKAGES=times or EXTRA_PACKAGES={times}
+# To use the option intlimits with the amsmath package you can specify:
+# EXTRA_PACKAGES=[intlimits]{amsmath}
+# If left blank no extra packages will be included.
+# This tag requires that the tag GENERATE_LATEX is set to YES.
+
+EXTRA_PACKAGES = amsmath \
+ svg
+
+# The LATEX_HEADER tag can be used to specify a personal LaTeX header for the
+# generated LaTeX document. The header should contain everything until the first
+# chapter. If it is left blank doxygen will generate a standard header. See
+# section "Doxygen usage" for information on how to let doxygen write the
+# default header to a separate file.
+#
+# Note: Only use a user-defined header if you know what you are doing! The
+# following commands have a special meaning inside the header: $title,
+# $datetime, $date, $doxygenversion, $projectname, $projectnumber,
+# $projectbrief, $projectlogo. Doxygen will replace $title with the empty
+# string, for the replacement values of the other commands the user is referred
+# to HTML_HEADER.
+# This tag requires that the tag GENERATE_LATEX is set to YES.
+
+LATEX_HEADER =
+
+# The LATEX_FOOTER tag can be used to specify a personal LaTeX footer for the
+# generated LaTeX document. The footer should contain everything after the last
+# chapter. If it is left blank doxygen will generate a standard footer. See
+# LATEX_HEADER for more information on how to generate a default footer and what
+# special commands can be used inside the footer.
+#
+# Note: Only use a user-defined footer if you know what you are doing!
+# This tag requires that the tag GENERATE_LATEX is set to YES.
+
+LATEX_FOOTER =
+
+# The LATEX_EXTRA_STYLESHEET tag can be used to specify additional user-defined
+# LaTeX style sheets that are included after the standard style sheets created
+# by doxygen. Using this option one can overrule certain style aspects. Doxygen
+# will copy the style sheet files to the output directory.
+# Note: The order of the extra style sheet files is of importance (e.g. the last
+# style sheet in the list overrules the setting of the previous ones in the
+# list).
+# This tag requires that the tag GENERATE_LATEX is set to YES.
+
+LATEX_EXTRA_STYLESHEET =
+
+# The LATEX_EXTRA_FILES tag can be used to specify one or more extra images or
+# other source files which should be copied to the LATEX_OUTPUT output
+# directory. Note that the files will be copied as-is; there are no commands or
+# markers available.
+# This tag requires that the tag GENERATE_LATEX is set to YES.
+
+LATEX_EXTRA_FILES =
+
+# If the PDF_HYPERLINKS tag is set to YES, the LaTeX that is generated is
+# prepared for conversion to PDF (using ps2pdf or pdflatex). The PDF file will
+# contain links (just like the HTML output) instead of page references. This
+# makes the output suitable for online browsing using a PDF viewer.
+# The default value is: YES.
+# This tag requires that the tag GENERATE_LATEX is set to YES.
+
+PDF_HYPERLINKS = YES
+
+# If the USE_PDFLATEX tag is set to YES, doxygen will use pdflatex to generate
+# the PDF file directly from the LaTeX files. Set this option to YES, to get a
+# higher quality PDF documentation.
+# The default value is: YES.
+# This tag requires that the tag GENERATE_LATEX is set to YES.
+
+USE_PDFLATEX = YES
+
+# If the LATEX_BATCHMODE tag is set to YES, doxygen will add the \batchmode
+# command to the generated LaTeX files. This will instruct LaTeX to keep running
+# if errors occur, instead of asking the user for help. This option is also used
+# when generating formulas in HTML.
+# The default value is: NO.
+# This tag requires that the tag GENERATE_LATEX is set to YES.
+
+LATEX_BATCHMODE = NO
+
+# If the LATEX_HIDE_INDICES tag is set to YES then doxygen will not include the
+# index chapters (such as File Index, Compound Index, etc.) in the output.
+# The default value is: NO.
+# This tag requires that the tag GENERATE_LATEX is set to YES.
+
+LATEX_HIDE_INDICES = NO
+
+# If the LATEX_SOURCE_CODE tag is set to YES then doxygen will include source
+# code with syntax highlighting in the LaTeX output.
+#
+# Note that which sources are shown also depends on other settings such as
+# SOURCE_BROWSER.
+# The default value is: NO.
+# This tag requires that the tag GENERATE_LATEX is set to YES.
+
+LATEX_SOURCE_CODE = NO
+
+# The LATEX_BIB_STYLE tag can be used to specify the style to use for the
+# bibliography, e.g. plainnat, or ieeetr. See
+# https://en.wikipedia.org/wiki/BibTeX and \cite for more info.
+# The default value is: plain.
+# This tag requires that the tag GENERATE_LATEX is set to YES.
+
+LATEX_BIB_STYLE = plain
+
+# If the LATEX_TIMESTAMP tag is set to YES then the footer of each generated
+# page will contain the date and time when the page was generated. Setting this
+# to NO can help when comparing the output of multiple runs.
+# The default value is: NO.
+# This tag requires that the tag GENERATE_LATEX is set to YES.
+
+LATEX_TIMESTAMP = NO
+
+# The LATEX_EMOJI_DIRECTORY tag is used to specify the (relative or absolute)
+# path from which the emoji images will be read. If a relative path is entered,
+# it will be relative to the LATEX_OUTPUT directory. If left blank the
+# LATEX_OUTPUT directory will be used.
+# This tag requires that the tag GENERATE_LATEX is set to YES.
+
+LATEX_EMOJI_DIRECTORY =
+
+#---------------------------------------------------------------------------
+# Configuration options related to the RTF output
+#---------------------------------------------------------------------------
+
+# If the GENERATE_RTF tag is set to YES, doxygen will generate RTF output. The
+# RTF output is optimized for Word 97 and may not look too pretty with other RTF
+# readers/editors.
+# The default value is: NO.
+
+GENERATE_RTF = YES
+
+# The RTF_OUTPUT tag is used to specify where the RTF docs will be put. If a
+# relative path is entered the value of OUTPUT_DIRECTORY will be put in front of
+# it.
+# The default directory is: rtf.
+# This tag requires that the tag GENERATE_RTF is set to YES.
+
+RTF_OUTPUT = rtf
+
+# If the COMPACT_RTF tag is set to YES, doxygen generates more compact RTF
+# documents. This may be useful for small projects and may help to save some
+# trees in general.
+# The default value is: NO.
+# This tag requires that the tag GENERATE_RTF is set to YES.
+
+COMPACT_RTF = NO
+
+# If the RTF_HYPERLINKS tag is set to YES, the RTF that is generated will
+# contain hyperlink fields. The RTF file will contain links (just like the HTML
+# output) instead of page references. This makes the output suitable for online
+# browsing using Word or some other Word compatible readers that support those
+# fields.
+#
+# Note: WordPad (write) and others do not support links.
+# The default value is: NO.
+# This tag requires that the tag GENERATE_RTF is set to YES.
+
+RTF_HYPERLINKS = NO
+
+# Load stylesheet definitions from file. Syntax is similar to doxygen's
+# configuration file, i.e. a series of assignments. You only have to provide
+# replacements, missing definitions are set to their default value.
+#
+# See also section "Doxygen usage" for information on how to generate the
+# default style sheet that doxygen normally uses.
+# This tag requires that the tag GENERATE_RTF is set to YES.
+
+RTF_STYLESHEET_FILE =
+
+# Set optional variables used in the generation of an RTF document. Syntax is
+# similar to doxygen's configuration file. A template extensions file can be
+# generated using doxygen -e rtf extensionFile.
+# This tag requires that the tag GENERATE_RTF is set to YES.
+
+RTF_EXTENSIONS_FILE =
+
+# If the RTF_SOURCE_CODE tag is set to YES then doxygen will include source code
+# with syntax highlighting in the RTF output.
+#
+# Note that which sources are shown also depends on other settings such as
+# SOURCE_BROWSER.
+# The default value is: NO.
+# This tag requires that the tag GENERATE_RTF is set to YES.
+
+RTF_SOURCE_CODE = NO
+
+#---------------------------------------------------------------------------
+# Configuration options related to the man page output
+#---------------------------------------------------------------------------
+
+# If the GENERATE_MAN tag is set to YES, doxygen will generate man pages for
+# classes and files.
+# The default value is: NO.
+
+GENERATE_MAN = YES
+
+# The MAN_OUTPUT tag is used to specify where the man pages will be put. If a
+# relative path is entered the value of OUTPUT_DIRECTORY will be put in front of
+# it. A directory man3 will be created inside the directory specified by
+# MAN_OUTPUT.
+# The default directory is: man.
+# This tag requires that the tag GENERATE_MAN is set to YES.
+
+MAN_OUTPUT = man
+
+# The MAN_EXTENSION tag determines the extension that is added to the generated
+# man pages. In case the manual section does not start with a number, the number
+# 3 is prepended. The dot (.) at the beginning of the MAN_EXTENSION tag is
+# optional.
+# The default value is: .3.
+# This tag requires that the tag GENERATE_MAN is set to YES.
+
+MAN_EXTENSION = .3
+
+# The MAN_SUBDIR tag determines the name of the directory created within
+# MAN_OUTPUT in which the man pages are placed. If defaults to man followed by
+# MAN_EXTENSION with the initial . removed.
+# This tag requires that the tag GENERATE_MAN is set to YES.
+
+MAN_SUBDIR =
+
+# If the MAN_LINKS tag is set to YES and doxygen generates man output, then it
+# will generate one additional man file for each entity documented in the real
+# man page(s). These additional files only source the real man page, but without
+# them the man command would be unable to find the correct page.
+# The default value is: NO.
+# This tag requires that the tag GENERATE_MAN is set to YES.
+
+MAN_LINKS = NO
+
+#---------------------------------------------------------------------------
+# Configuration options related to the XML output
+#---------------------------------------------------------------------------
+
+# If the GENERATE_XML tag is set to YES, doxygen will generate an XML file that
+# captures the structure of the code including all documentation.
+# The default value is: NO.
+
+GENERATE_XML = NO
+
+# The XML_OUTPUT tag is used to specify where the XML pages will be put. If a
+# relative path is entered the value of OUTPUT_DIRECTORY will be put in front of
+# it.
+# The default directory is: xml.
+# This tag requires that the tag GENERATE_XML is set to YES.
+
+XML_OUTPUT = xml
+
+# If the XML_PROGRAMLISTING tag is set to YES, doxygen will dump the program
+# listings (including syntax highlighting and cross-referencing information) to
+# the XML output. Note that enabling this will significantly increase the size
+# of the XML output.
+# The default value is: YES.
+# This tag requires that the tag GENERATE_XML is set to YES.
+
+XML_PROGRAMLISTING = YES
+
+# If the XML_NS_MEMB_FILE_SCOPE tag is set to YES, doxygen will include
+# namespace members in file scope as well, matching the HTML output.
+# The default value is: NO.
+# This tag requires that the tag GENERATE_XML is set to YES.
+
+XML_NS_MEMB_FILE_SCOPE = NO
+
+#---------------------------------------------------------------------------
+# Configuration options related to the DOCBOOK output
+#---------------------------------------------------------------------------
+
+# If the GENERATE_DOCBOOK tag is set to YES, doxygen will generate Docbook files
+# that can be used to generate PDF.
+# The default value is: NO.
+
+GENERATE_DOCBOOK = NO
+
+# The DOCBOOK_OUTPUT tag is used to specify where the Docbook pages will be put.
+# If a relative path is entered the value of OUTPUT_DIRECTORY will be put in
+# front of it.
+# The default directory is: docbook.
+# This tag requires that the tag GENERATE_DOCBOOK is set to YES.
+
+DOCBOOK_OUTPUT = docbook
+
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+SKIP_FUNCTION_MACROS = YES
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+#---------------------------------------------------------------------------
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+TAGFILES =
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+# If the EXTERNAL_PAGES tag is set to YES, all external pages will be listed in
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+#---------------------------------------------------------------------------
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+# If the CLASS_DIAGRAMS tag is set to YES, doxygen will generate a class diagram
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+CLASS_DIAGRAMS = NO
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+# You can include diagrams made with dia in doxygen documentation. Doxygen will
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+# If set to YES the inheritance and collaboration graphs will hide inheritance
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+# If you set the HAVE_DOT tag to YES then doxygen will assume the dot tool is
+# available from the path. This tool is part of Graphviz (see:
+# http://www.graphviz.org/), a graph visualization toolkit from AT&T and Lucent
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+# The default value is: NO.
+
+HAVE_DOT = NO
+
+# The DOT_NUM_THREADS specifies the number of dot invocations doxygen is allowed
+# to run in parallel. When set to 0 doxygen will base this on the number of
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+# This tag requires that the tag HAVE_DOT is set to YES.
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+# If the CLASS_GRAPH tag is set to YES then doxygen will generate a graph for
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+# This tag requires that the tag HAVE_DOT is set to YES.
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+# If the UML_LOOK tag is set to YES, doxygen will generate inheritance and
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+# If the INCLUDE_GRAPH, ENABLE_PREPROCESSING and SEARCH_INCLUDES tags are set to
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+# This tag requires that the tag HAVE_DOT is set to YES.
+
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+CALL_GRAPH = NO
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+#
+# Note that enabling this option will significantly increase the time of a run.
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+GRAPHICAL_HIERARCHY = YES
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+# If the DIRECTORY_GRAPH tag is set to YES then doxygen will show the
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+DIRECTORY_GRAPH = YES
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+# Note: For IE 9+ you need to set HTML_FILE_EXTENSION to xhtml in order to make
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+# This tag requires that the tag HAVE_DOT is set to YES.
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+INTERACTIVE_SVG = NO
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+# The DOT_PATH tag can be used to specify the path where the dot tool can be
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+DOT_PATH =
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+# The DOTFILE_DIRS tag can be used to specify one or more directories that
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+# This tag requires that the tag HAVE_DOT is set to YES.
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+DOTFILE_DIRS =
+
+# The MSCFILE_DIRS tag can be used to specify one or more directories that
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+# command).
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+# The DIAFILE_DIRS tag can be used to specify one or more directories that
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+DIAFILE_DIRS =
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+
+PLANTUML_CFG_FILE =
+
+# When using plantuml, the specified paths are searched for files specified by
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+PLANTUML_INCLUDE_PATH =
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+# that will be shown in the graph. If the number of nodes in a graph becomes
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+
+DOT_GRAPH_MAX_NODES = 50
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+# The MAX_DOT_GRAPH_DEPTH tag can be used to set the maximum depth of the graphs
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+# root by following a path via at most 3 edges will be shown. Nodes that lay
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+# DOT_GRAPH_MAX_NODES. Using a depth of 0 means no depth restriction.
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+# This tag requires that the tag HAVE_DOT is set to YES.
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+MAX_DOT_GRAPH_DEPTH = 0
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+# Warning: Depending on the platform used, enabling this option may lead to
+# badly anti-aliased labels on the edges of a graph (i.e. they become hard to
+# read).
+# The default value is: NO.
+# This tag requires that the tag HAVE_DOT is set to YES.
+
+DOT_TRANSPARENT = NO
+
+# Set the DOT_MULTI_TARGETS tag to YES to allow dot to generate multiple output
+# files in one run (i.e. multiple -o and -T options on the command line). This
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+# The default value is: NO.
+# This tag requires that the tag HAVE_DOT is set to YES.
+
+DOT_MULTI_TARGETS = NO
+
+# If the GENERATE_LEGEND tag is set to YES doxygen will generate a legend page
+# explaining the meaning of the various boxes and arrows in the dot generated
+# graphs.
+# The default value is: YES.
+# This tag requires that the tag HAVE_DOT is set to YES.
+
+GENERATE_LEGEND = YES
+
+# If the DOT_CLEANUP tag is set to YES, doxygen will remove the intermediate dot
+# files that are used to generate the various graphs.
+# The default value is: YES.
+# This tag requires that the tag HAVE_DOT is set to YES.
+
+DOT_CLEANUP = YES
diff --git a/doc/doxygen/src/RcdMathLib.doxyfile.bak b/doc/doxygen/src/RcdMathLib.doxyfile.bak
new file mode 100644
index 0000000000000000000000000000000000000000..98a14103e4933b09b847215c4cb46dc3599515dc
--- /dev/null
+++ b/doc/doxygen/src/RcdMathLib.doxyfile.bak
@@ -0,0 +1,2585 @@
+# Doxyfile 1.8.16
+
+# This file describes the settings to be used by the documentation system
+# doxygen (www.doxygen.org) for a project.
+#
+# All text after a double hash (##) is considered a comment and is placed in
+# front of the TAG it is preceding.
+#
+# All text after a single hash (#) is considered a comment and will be ignored.
+# The format is:
+# TAG = value [value, ...]
+# For lists, items can also be appended using:
+# TAG += value [value, ...]
+# Values that contain spaces should be placed between quotes (\" \").
+
+#---------------------------------------------------------------------------
+# Project related configuration options
+#---------------------------------------------------------------------------
+
+# This tag specifies the encoding used for all characters in the configuration
+# file that follow. The default is UTF-8 which is also the encoding used for all
+# text before the first occurrence of this tag. Doxygen uses libiconv (or the
+# iconv built into libc) for the transcoding. See
+# https://www.gnu.org/software/libiconv/ for the list of possible encodings.
+# The default value is: UTF-8.
+
+DOXYFILE_ENCODING = UTF-8
+
+# The PROJECT_NAME tag is a single word (or a sequence of words surrounded by
+# double-quotes, unless you are using Doxywizard) that should identify the
+# project for which the documentation is generated. This name is used in the
+# title of most generated pages and in a few other places.
+# The default value is: My Project.
+
+PROJECT_NAME = "RcdMathLib_doc"
+
+# The PROJECT_NUMBER tag can be used to enter a project or revision number. This
+# could be handy for archiving the generated documentation or if some version
+# control system is used.
+
+PROJECT_NUMBER =
+
+# Using the PROJECT_BRIEF tag one can provide an optional one line description
+# for a project that appears at the top of each page and should give viewer a
+# quick idea about the purpose of the project. Keep the description short.
+
+PROJECT_BRIEF = "Open Source Library for Linear and Non-linear Algebra"
+
+# With the PROJECT_LOGO tag one can specify a logo or an icon that is included
+# in the documentation. The maximum height of the logo should not exceed 55
+# pixels and the maximum width should not exceed 200 pixels. Doxygen will copy
+# the logo to the output directory.
+
+PROJECT_LOGO =
+
+# The OUTPUT_DIRECTORY tag is used to specify the (relative or absolute) path
+# into which the generated documentation will be written. If a relative path is
+# entered, it will be relative to the location where doxygen was started. If
+# left blank the current directory will be used.
+
+OUTPUT_DIRECTORY = ./..
+
+# If the CREATE_SUBDIRS tag is set to YES then doxygen will create 4096 sub-
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+# will distribute the generated files over these directories. Enabling this
+# option can be useful when feeding doxygen a huge amount of source files, where
+# putting all generated files in the same directory would otherwise causes
+# performance problems for the file system.
+# The default value is: NO.
+
+CREATE_SUBDIRS = NO
+
+# If the ALLOW_UNICODE_NAMES tag is set to YES, doxygen will allow non-ASCII
+# characters to appear in the names of generated files. If set to NO, non-ASCII
+# characters will be escaped, for example _xE3_x81_x84 will be used for Unicode
+# U+3044.
+# The default value is: NO.
+
+ALLOW_UNICODE_NAMES = NO
+
+# The OUTPUT_LANGUAGE tag is used to specify the language in which all
+# documentation generated by doxygen is written. Doxygen will use this
+# information to generate all constant output in the proper language.
+# Possible values are: Afrikaans, Arabic, Armenian, Brazilian, Catalan, Chinese,
+# Chinese-Traditional, Croatian, Czech, Danish, Dutch, English (United States),
+# Esperanto, Farsi (Persian), Finnish, French, German, Greek, Hungarian,
+# Indonesian, Italian, Japanese, Japanese-en (Japanese with English messages),
+# Korean, Korean-en (Korean with English messages), Latvian, Lithuanian,
+# Macedonian, Norwegian, Persian (Farsi), Polish, Portuguese, Romanian, Russian,
+# Serbian, Serbian-Cyrillic, Slovak, Slovene, Spanish, Swedish, Turkish,
+# Ukrainian and Vietnamese.
+# The default value is: English.
+
+OUTPUT_LANGUAGE = English
+
+# The OUTPUT_TEXT_DIRECTION tag is used to specify the direction in which all
+# documentation generated by doxygen is written. Doxygen will use this
+# information to generate all generated output in the proper direction.
+# Possible values are: None, LTR, RTL and Context.
+# The default value is: None.
+
+OUTPUT_TEXT_DIRECTION = None
+
+# If the BRIEF_MEMBER_DESC tag is set to YES, doxygen will include brief member
+# descriptions after the members that are listed in the file and class
+# documentation (similar to Javadoc). Set to NO to disable this.
+# The default value is: YES.
+
+BRIEF_MEMBER_DESC = YES
+
+# If the REPEAT_BRIEF tag is set to YES, doxygen will prepend the brief
+# description of a member or function before the detailed description
+#
+# Note: If both HIDE_UNDOC_MEMBERS and BRIEF_MEMBER_DESC are set to NO, the
+# brief descriptions will be completely suppressed.
+# The default value is: YES.
+
+REPEAT_BRIEF = YES
+
+# This tag implements a quasi-intelligent brief description abbreviator that is
+# used to form the text in various listings. Each string in this list, if found
+# as the leading text of the brief description, will be stripped from the text
+# and the result, after processing the whole list, is used as the annotated
+# text. Otherwise, the brief description is used as-is. If left blank, the
+# following values are used ($name is automatically replaced with the name of
+# the entity):The $name class, The $name widget, The $name file, is, provides,
+# specifies, contains, represents, a, an and the.
+
+ABBREVIATE_BRIEF = "The $name class" \
+ "The $name widget" \
+ "The $name file" \
+ is \
+ provides \
+ specifies \
+ contains \
+ represents \
+ a \
+ an \
+ the
+
+# If the ALWAYS_DETAILED_SEC and REPEAT_BRIEF tags are both set to YES then
+# doxygen will generate a detailed section even if there is only a brief
+# description.
+# The default value is: NO.
+
+ALWAYS_DETAILED_SEC = NO
+
+# If the INLINE_INHERITED_MEMB tag is set to YES, doxygen will show all
+# inherited members of a class in the documentation of that class as if those
+# members were ordinary class members. Constructors, destructors and assignment
+# operators of the base classes will not be shown.
+# The default value is: NO.
+
+INLINE_INHERITED_MEMB = NO
+
+# If the FULL_PATH_NAMES tag is set to YES, doxygen will prepend the full path
+# before files name in the file list and in the header files. If set to NO the
+# shortest path that makes the file name unique will be used
+# The default value is: YES.
+
+FULL_PATH_NAMES = NO
+
+# The STRIP_FROM_PATH tag can be used to strip a user-defined part of the path.
+# Stripping is only done if one of the specified strings matches the left-hand
+# part of the path. The tag can be used to show relative paths in the file list.
+# If left blank the directory from which doxygen is run is used as the path to
+# strip.
+#
+# Note that you can specify absolute paths here, but also relative paths, which
+# will be relative from the directory where doxygen is started.
+# This tag requires that the tag FULL_PATH_NAMES is set to YES.
+
+STRIP_FROM_PATH =
+
+# The STRIP_FROM_INC_PATH tag can be used to strip a user-defined part of the
+# path mentioned in the documentation of a class, which tells the reader which
+# header file to include in order to use a class. If left blank only the name of
+# the header file containing the class definition is used. Otherwise one should
+# specify the list of include paths that are normally passed to the compiler
+# using the -I flag.
+
+STRIP_FROM_INC_PATH =
+
+# If the SHORT_NAMES tag is set to YES, doxygen will generate much shorter (but
+# less readable) file names. This can be useful is your file systems doesn't
+# support long names like on DOS, Mac, or CD-ROM.
+# The default value is: NO.
+
+SHORT_NAMES = NO
+
+# If the JAVADOC_AUTOBRIEF tag is set to YES then doxygen will interpret the
+# first line (until the first dot) of a Javadoc-style comment as the brief
+# description. If set to NO, the Javadoc-style will behave just like regular Qt-
+# style comments (thus requiring an explicit @brief command for a brief
+# description.)
+# The default value is: NO.
+
+JAVADOC_AUTOBRIEF = YES
+
+# If the JAVADOC_BANNER tag is set to YES then doxygen will interpret a line
+# such as
+# /***************
+# as being the beginning of a Javadoc-style comment "banner". If set to NO, the
+# Javadoc-style will behave just like regular comments and it will not be
+# interpreted by doxygen.
+# The default value is: NO.
+
+JAVADOC_BANNER = NO
+
+# If the QT_AUTOBRIEF tag is set to YES then doxygen will interpret the first
+# line (until the first dot) of a Qt-style comment as the brief description. If
+# set to NO, the Qt-style will behave just like regular Qt-style comments (thus
+# requiring an explicit \brief command for a brief description.)
+# The default value is: NO.
+
+QT_AUTOBRIEF = NO
+
+# The MULTILINE_CPP_IS_BRIEF tag can be set to YES to make doxygen treat a
+# multi-line C++ special comment block (i.e. a block of //! or /// comments) as
+# a brief description. This used to be the default behavior. The new default is
+# to treat a multi-line C++ comment block as a detailed description. Set this
+# tag to YES if you prefer the old behavior instead.
+#
+# Note that setting this tag to YES also means that rational rose comments are
+# not recognized any more.
+# The default value is: NO.
+
+MULTILINE_CPP_IS_BRIEF = NO
+
+# If the INHERIT_DOCS tag is set to YES then an undocumented member inherits the
+# documentation from any documented member that it re-implements.
+# The default value is: YES.
+
+INHERIT_DOCS = YES
+
+# If the SEPARATE_MEMBER_PAGES tag is set to YES then doxygen will produce a new
+# page for each member. If set to NO, the documentation of a member will be part
+# of the file/class/namespace that contains it.
+# The default value is: NO.
+
+SEPARATE_MEMBER_PAGES = NO
+
+# The TAB_SIZE tag can be used to set the number of spaces in a tab. Doxygen
+# uses this value to replace tabs by spaces in code fragments.
+# Minimum value: 1, maximum value: 16, default value: 4.
+
+TAB_SIZE = 4
+
+# This tag can be used to specify a number of aliases that act as commands in
+# the documentation. An alias has the form:
+# name=value
+# For example adding
+# "sideeffect=@par Side Effects:\n"
+# will allow you to put the command \sideeffect (or @sideeffect) in the
+# documentation, which will result in a user-defined paragraph with heading
+# "Side Effects:". You can put \n's in the value part of an alias to insert
+# newlines (in the resulting output). You can put ^^ in the value part of an
+# alias to insert a newline as if a physical newline was in the original file.
+# When you need a literal { or } or , in the value part of an alias you have to
+# escape them by means of a backslash (\), this can lead to conflicts with the
+# commands \{ and \} for these it is advised to use the version @{ and @} or use
+# a double escape (\\{ and \\})
+
+ALIASES =
+
+# This tag can be used to specify a number of word-keyword mappings (TCL only).
+# A mapping has the form "name=value". For example adding "class=itcl::class"
+# will allow you to use the command class in the itcl::class meaning.
+
+TCL_SUBST =
+
+# Set the OPTIMIZE_OUTPUT_FOR_C tag to YES if your project consists of C sources
+# only. Doxygen will then generate output that is more tailored for C. For
+# instance, some of the names that are used will be different. The list of all
+# members will be omitted, etc.
+# The default value is: NO.
+
+OPTIMIZE_OUTPUT_FOR_C = YES
+
+# Set the OPTIMIZE_OUTPUT_JAVA tag to YES if your project consists of Java or
+# Python sources only. Doxygen will then generate output that is more tailored
+# for that language. For instance, namespaces will be presented as packages,
+# qualified scopes will look different, etc.
+# The default value is: NO.
+
+OPTIMIZE_OUTPUT_JAVA = NO
+
+# Set the OPTIMIZE_FOR_FORTRAN tag to YES if your project consists of Fortran
+# sources. Doxygen will then generate output that is tailored for Fortran.
+# The default value is: NO.
+
+OPTIMIZE_FOR_FORTRAN = NO
+
+# Set the OPTIMIZE_OUTPUT_VHDL tag to YES if your project consists of VHDL
+# sources. Doxygen will then generate output that is tailored for VHDL.
+# The default value is: NO.
+
+OPTIMIZE_OUTPUT_VHDL = NO
+
+# Set the OPTIMIZE_OUTPUT_SLICE tag to YES if your project consists of Slice
+# sources only. Doxygen will then generate output that is more tailored for that
+# language. For instance, namespaces will be presented as modules, types will be
+# separated into more groups, etc.
+# The default value is: NO.
+
+OPTIMIZE_OUTPUT_SLICE = NO
+
+# Doxygen selects the parser to use depending on the extension of the files it
+# parses. With this tag you can assign which parser to use for a given
+# extension. Doxygen has a built-in mapping, but you can override or extend it
+# using this tag. The format is ext=language, where ext is a file extension, and
+# language is one of the parsers supported by doxygen: IDL, Java, Javascript,
+# Csharp (C#), C, C++, D, PHP, md (Markdown), Objective-C, Python, Slice,
+# Fortran (fixed format Fortran: FortranFixed, free formatted Fortran:
+# FortranFree, unknown formatted Fortran: Fortran. In the later case the parser
+# tries to guess whether the code is fixed or free formatted code, this is the
+# default for Fortran type files), VHDL, tcl. For instance to make doxygen treat
+# .inc files as Fortran files (default is PHP), and .f files as C (default is
+# Fortran), use: inc=Fortran f=C.
+#
+# Note: For files without extension you can use no_extension as a placeholder.
+#
+# Note that for custom extensions you also need to set FILE_PATTERNS otherwise
+# the files are not read by doxygen.
+
+EXTENSION_MAPPING =
+
+# If the MARKDOWN_SUPPORT tag is enabled then doxygen pre-processes all comments
+# according to the Markdown format, which allows for more readable
+# documentation. See https://daringfireball.net/projects/markdown/ for details.
+# The output of markdown processing is further processed by doxygen, so you can
+# mix doxygen, HTML, and XML commands with Markdown formatting. Disable only in
+# case of backward compatibilities issues.
+# The default value is: YES.
+
+MARKDOWN_SUPPORT = YES
+
+# When the TOC_INCLUDE_HEADINGS tag is set to a non-zero value, all headings up
+# to that level are automatically included in the table of contents, even if
+# they do not have an id attribute.
+# Note: This feature currently applies only to Markdown headings.
+# Minimum value: 0, maximum value: 99, default value: 5.
+# This tag requires that the tag MARKDOWN_SUPPORT is set to YES.
+
+TOC_INCLUDE_HEADINGS = 5
+
+# When enabled doxygen tries to link words that correspond to documented
+# classes, or namespaces to their corresponding documentation. Such a link can
+# be prevented in individual cases by putting a % sign in front of the word or
+# globally by setting AUTOLINK_SUPPORT to NO.
+# The default value is: YES.
+
+AUTOLINK_SUPPORT = YES
+
+# If you use STL classes (i.e. std::string, std::vector, etc.) but do not want
+# to include (a tag file for) the STL sources as input, then you should set this
+# tag to YES in order to let doxygen match functions declarations and
+# definitions whose arguments contain STL classes (e.g. func(std::string);
+# versus func(std::string) {}). This also make the inheritance and collaboration
+# diagrams that involve STL classes more complete and accurate.
+# The default value is: NO.
+
+BUILTIN_STL_SUPPORT = NO
+
+# If you use Microsoft's C++/CLI language, you should set this option to YES to
+# enable parsing support.
+# The default value is: NO.
+
+CPP_CLI_SUPPORT = NO
+
+# Set the SIP_SUPPORT tag to YES if your project consists of sip (see:
+# https://www.riverbankcomputing.com/software/sip/intro) sources only. Doxygen
+# will parse them like normal C++ but will assume all classes use public instead
+# of private inheritance when no explicit protection keyword is present.
+# The default value is: NO.
+
+SIP_SUPPORT = NO
+
+# For Microsoft's IDL there are propget and propput attributes to indicate
+# getter and setter methods for a property. Setting this option to YES will make
+# doxygen to replace the get and set methods by a property in the documentation.
+# This will only work if the methods are indeed getting or setting a simple
+# type. If this is not the case, or you want to show the methods anyway, you
+# should set this option to NO.
+# The default value is: YES.
+
+IDL_PROPERTY_SUPPORT = YES
+
+# If member grouping is used in the documentation and the DISTRIBUTE_GROUP_DOC
+# tag is set to YES then doxygen will reuse the documentation of the first
+# member in the group (if any) for the other members of the group. By default
+# all members of a group must be documented explicitly.
+# The default value is: NO.
+
+DISTRIBUTE_GROUP_DOC = NO
+
+# If one adds a struct or class to a group and this option is enabled, then also
+# any nested class or struct is added to the same group. By default this option
+# is disabled and one has to add nested compounds explicitly via \ingroup.
+# The default value is: NO.
+
+GROUP_NESTED_COMPOUNDS = NO
+
+# Set the SUBGROUPING tag to YES to allow class member groups of the same type
+# (for instance a group of public functions) to be put as a subgroup of that
+# type (e.g. under the Public Functions section). Set it to NO to prevent
+# subgrouping. Alternatively, this can be done per class using the
+# \nosubgrouping command.
+# The default value is: YES.
+
+SUBGROUPING = YES
+
+# When the INLINE_GROUPED_CLASSES tag is set to YES, classes, structs and unions
+# are shown inside the group in which they are included (e.g. using \ingroup)
+# instead of on a separate page (for HTML and Man pages) or section (for LaTeX
+# and RTF).
+#
+# Note that this feature does not work in combination with
+# SEPARATE_MEMBER_PAGES.
+# The default value is: NO.
+
+INLINE_GROUPED_CLASSES = NO
+
+# When the INLINE_SIMPLE_STRUCTS tag is set to YES, structs, classes, and unions
+# with only public data fields or simple typedef fields will be shown inline in
+# the documentation of the scope in which they are defined (i.e. file,
+# namespace, or group documentation), provided this scope is documented. If set
+# to NO, structs, classes, and unions are shown on a separate page (for HTML and
+# Man pages) or section (for LaTeX and RTF).
+# The default value is: NO.
+
+INLINE_SIMPLE_STRUCTS = NO
+
+# When TYPEDEF_HIDES_STRUCT tag is enabled, a typedef of a struct, union, or
+# enum is documented as struct, union, or enum with the name of the typedef. So
+# typedef struct TypeS {} TypeT, will appear in the documentation as a struct
+# with name TypeT. When disabled the typedef will appear as a member of a file,
+# namespace, or class. And the struct will be named TypeS. This can typically be
+# useful for C code in case the coding convention dictates that all compound
+# types are typedef'ed and only the typedef is referenced, never the tag name.
+# The default value is: NO.
+
+TYPEDEF_HIDES_STRUCT = NO
+
+# The size of the symbol lookup cache can be set using LOOKUP_CACHE_SIZE. This
+# cache is used to resolve symbols given their name and scope. Since this can be
+# an expensive process and often the same symbol appears multiple times in the
+# code, doxygen keeps a cache of pre-resolved symbols. If the cache is too small
+# doxygen will become slower. If the cache is too large, memory is wasted. The
+# cache size is given by this formula: 2^(16+LOOKUP_CACHE_SIZE). The valid range
+# is 0..9, the default is 0, corresponding to a cache size of 2^16=65536
+# symbols. At the end of a run doxygen will report the cache usage and suggest
+# the optimal cache size from a speed point of view.
+# Minimum value: 0, maximum value: 9, default value: 0.
+
+LOOKUP_CACHE_SIZE = 1
+
+#---------------------------------------------------------------------------
+# Build related configuration options
+#---------------------------------------------------------------------------
+
+# If the EXTRACT_ALL tag is set to YES, doxygen will assume all entities in
+# documentation are documented, even if no documentation was available. Private
+# class members and static file members will be hidden unless the
+# EXTRACT_PRIVATE respectively EXTRACT_STATIC tags are set to YES.
+# Note: This will also disable the warnings about undocumented members that are
+# normally produced when WARNINGS is set to YES.
+# The default value is: NO.
+
+EXTRACT_ALL = NO
+
+# If the EXTRACT_PRIVATE tag is set to YES, all private members of a class will
+# be included in the documentation.
+# The default value is: NO.
+
+EXTRACT_PRIVATE = NO
+
+# If the EXTRACT_PRIV_VIRTUAL tag is set to YES, documented private virtual
+# methods of a class will be included in the documentation.
+# The default value is: NO.
+
+EXTRACT_PRIV_VIRTUAL = NO
+
+# If the EXTRACT_PACKAGE tag is set to YES, all members with package or internal
+# scope will be included in the documentation.
+# The default value is: NO.
+
+EXTRACT_PACKAGE = NO
+
+# If the EXTRACT_STATIC tag is set to YES, all static members of a file will be
+# included in the documentation.
+# The default value is: NO.
+
+EXTRACT_STATIC = NO
+
+# If the EXTRACT_LOCAL_CLASSES tag is set to YES, classes (and structs) defined
+# locally in source files will be included in the documentation. If set to NO,
+# only classes defined in header files are included. Does not have any effect
+# for Java sources.
+# The default value is: YES.
+
+EXTRACT_LOCAL_CLASSES = YES
+
+# This flag is only useful for Objective-C code. If set to YES, local methods,
+# which are defined in the implementation section but not in the interface are
+# included in the documentation. If set to NO, only methods in the interface are
+# included.
+# The default value is: NO.
+
+EXTRACT_LOCAL_METHODS = NO
+
+# If this flag is set to YES, the members of anonymous namespaces will be
+# extracted and appear in the documentation as a namespace called
+# 'anonymous_namespace{file}', where file will be replaced with the base name of
+# the file that contains the anonymous namespace. By default anonymous namespace
+# are hidden.
+# The default value is: NO.
+
+EXTRACT_ANON_NSPACES = NO
+
+# If the HIDE_UNDOC_MEMBERS tag is set to YES, doxygen will hide all
+# undocumented members inside documented classes or files. If set to NO these
+# members will be included in the various overviews, but no documentation
+# section is generated. This option has no effect if EXTRACT_ALL is enabled.
+# The default value is: NO.
+
+HIDE_UNDOC_MEMBERS = NO
+
+# If the HIDE_UNDOC_CLASSES tag is set to YES, doxygen will hide all
+# undocumented classes that are normally visible in the class hierarchy. If set
+# to NO, these classes will be included in the various overviews. This option
+# has no effect if EXTRACT_ALL is enabled.
+# The default value is: NO.
+
+HIDE_UNDOC_CLASSES = NO
+
+# If the HIDE_FRIEND_COMPOUNDS tag is set to YES, doxygen will hide all friend
+# (class|struct|union) declarations. If set to NO, these declarations will be
+# included in the documentation.
+# The default value is: NO.
+
+HIDE_FRIEND_COMPOUNDS = NO
+
+# If the HIDE_IN_BODY_DOCS tag is set to YES, doxygen will hide any
+# documentation blocks found inside the body of a function. If set to NO, these
+# blocks will be appended to the function's detailed documentation block.
+# The default value is: NO.
+
+HIDE_IN_BODY_DOCS = NO
+
+# The INTERNAL_DOCS tag determines if documentation that is typed after a
+# \internal command is included. If the tag is set to NO then the documentation
+# will be excluded. Set it to YES to include the internal documentation.
+# The default value is: NO.
+
+INTERNAL_DOCS = NO
+
+# If the CASE_SENSE_NAMES tag is set to NO then doxygen will only generate file
+# names in lower-case letters. If set to YES, upper-case letters are also
+# allowed. This is useful if you have classes or files whose names only differ
+# in case and if your file system supports case sensitive file names. Windows
+# (including Cygwin) ands Mac users are advised to set this option to NO.
+# The default value is: system dependent.
+
+CASE_SENSE_NAMES = YES
+
+# If the HIDE_SCOPE_NAMES tag is set to NO then doxygen will show members with
+# their full class and namespace scopes in the documentation. If set to YES, the
+# scope will be hidden.
+# The default value is: NO.
+
+HIDE_SCOPE_NAMES = NO
+
+# If the HIDE_COMPOUND_REFERENCE tag is set to NO (default) then doxygen will
+# append additional text to a page's title, such as Class Reference. If set to
+# YES the compound reference will be hidden.
+# The default value is: NO.
+
+HIDE_COMPOUND_REFERENCE= NO
+
+# If the SHOW_INCLUDE_FILES tag is set to YES then doxygen will put a list of
+# the files that are included by a file in the documentation of that file.
+# The default value is: YES.
+
+SHOW_INCLUDE_FILES = YES
+
+# If the SHOW_GROUPED_MEMB_INC tag is set to YES then Doxygen will add for each
+# grouped member an include statement to the documentation, telling the reader
+# which file to include in order to use the member.
+# The default value is: NO.
+
+SHOW_GROUPED_MEMB_INC = NO
+
+# If the FORCE_LOCAL_INCLUDES tag is set to YES then doxygen will list include
+# files with double quotes in the documentation rather than with sharp brackets.
+# The default value is: NO.
+
+FORCE_LOCAL_INCLUDES = NO
+
+# If the INLINE_INFO tag is set to YES then a tag [inline] is inserted in the
+# documentation for inline members.
+# The default value is: YES.
+
+INLINE_INFO = YES
+
+# If the SORT_MEMBER_DOCS tag is set to YES then doxygen will sort the
+# (detailed) documentation of file and class members alphabetically by member
+# name. If set to NO, the members will appear in declaration order.
+# The default value is: YES.
+
+SORT_MEMBER_DOCS = YES
+
+# If the SORT_BRIEF_DOCS tag is set to YES then doxygen will sort the brief
+# descriptions of file, namespace and class members alphabetically by member
+# name. If set to NO, the members will appear in declaration order. Note that
+# this will also influence the order of the classes in the class list.
+# The default value is: NO.
+
+SORT_BRIEF_DOCS = NO
+
+# If the SORT_MEMBERS_CTORS_1ST tag is set to YES then doxygen will sort the
+# (brief and detailed) documentation of class members so that constructors and
+# destructors are listed first. If set to NO the constructors will appear in the
+# respective orders defined by SORT_BRIEF_DOCS and SORT_MEMBER_DOCS.
+# Note: If SORT_BRIEF_DOCS is set to NO this option is ignored for sorting brief
+# member documentation.
+# Note: If SORT_MEMBER_DOCS is set to NO this option is ignored for sorting
+# detailed member documentation.
+# The default value is: NO.
+
+SORT_MEMBERS_CTORS_1ST = NO
+
+# If the SORT_GROUP_NAMES tag is set to YES then doxygen will sort the hierarchy
+# of group names into alphabetical order. If set to NO the group names will
+# appear in their defined order.
+# The default value is: NO.
+
+SORT_GROUP_NAMES = YES
+
+# If the SORT_BY_SCOPE_NAME tag is set to YES, the class list will be sorted by
+# fully-qualified names, including namespaces. If set to NO, the class list will
+# be sorted only by class name, not including the namespace part.
+# Note: This option is not very useful if HIDE_SCOPE_NAMES is set to YES.
+# Note: This option applies only to the class list, not to the alphabetical
+# list.
+# The default value is: NO.
+
+SORT_BY_SCOPE_NAME = NO
+
+# If the STRICT_PROTO_MATCHING option is enabled and doxygen fails to do proper
+# type resolution of all parameters of a function it will reject a match between
+# the prototype and the implementation of a member function even if there is
+# only one candidate or it is obvious which candidate to choose by doing a
+# simple string match. By disabling STRICT_PROTO_MATCHING doxygen will still
+# accept a match between prototype and implementation in such cases.
+# The default value is: NO.
+
+STRICT_PROTO_MATCHING = NO
+
+# The GENERATE_TODOLIST tag can be used to enable (YES) or disable (NO) the todo
+# list. This list is created by putting \todo commands in the documentation.
+# The default value is: YES.
+
+GENERATE_TODOLIST = YES
+
+# The GENERATE_TESTLIST tag can be used to enable (YES) or disable (NO) the test
+# list. This list is created by putting \test commands in the documentation.
+# The default value is: YES.
+
+GENERATE_TESTLIST = YES
+
+# The GENERATE_BUGLIST tag can be used to enable (YES) or disable (NO) the bug
+# list. This list is created by putting \bug commands in the documentation.
+# The default value is: YES.
+
+GENERATE_BUGLIST = YES
+
+# The GENERATE_DEPRECATEDLIST tag can be used to enable (YES) or disable (NO)
+# the deprecated list. This list is created by putting \deprecated commands in
+# the documentation.
+# The default value is: YES.
+
+GENERATE_DEPRECATEDLIST= YES
+
+# The ENABLED_SECTIONS tag can be used to enable conditional documentation
+# sections, marked by \if <section_label> ... \endif and \cond <section_label>
+# ... \endcond blocks.
+
+ENABLED_SECTIONS =
+
+# The MAX_INITIALIZER_LINES tag determines the maximum number of lines that the
+# initial value of a variable or macro / define can have for it to appear in the
+# documentation. If the initializer consists of more lines than specified here
+# it will be hidden. Use a value of 0 to hide initializers completely. The
+# appearance of the value of individual variables and macros / defines can be
+# controlled using \showinitializer or \hideinitializer command in the
+# documentation regardless of this setting.
+# Minimum value: 0, maximum value: 10000, default value: 30.
+
+MAX_INITIALIZER_LINES = 30
+
+# Set the SHOW_USED_FILES tag to NO to disable the list of files generated at
+# the bottom of the documentation of classes and structs. If set to YES, the
+# list will mention the files that were used to generate the documentation.
+# The default value is: YES.
+
+SHOW_USED_FILES = YES
+
+# Set the SHOW_FILES tag to NO to disable the generation of the Files page. This
+# will remove the Files entry from the Quick Index and from the Folder Tree View
+# (if specified).
+# The default value is: YES.
+
+SHOW_FILES = YES
+
+# Set the SHOW_NAMESPACES tag to NO to disable the generation of the Namespaces
+# page. This will remove the Namespaces entry from the Quick Index and from the
+# Folder Tree View (if specified).
+# The default value is: YES.
+
+SHOW_NAMESPACES = YES
+
+# The FILE_VERSION_FILTER tag can be used to specify a program or script that
+# doxygen should invoke to get the current version for each file (typically from
+# the version control system). Doxygen will invoke the program by executing (via
+# popen()) the command command input-file, where command is the value of the
+# FILE_VERSION_FILTER tag, and input-file is the name of an input file provided
+# by doxygen. Whatever the program writes to standard output is used as the file
+# version. For an example see the documentation.
+
+FILE_VERSION_FILTER =
+
+# The LAYOUT_FILE tag can be used to specify a layout file which will be parsed
+# by doxygen. The layout file controls the global structure of the generated
+# output files in an output format independent way. To create the layout file
+# that represents doxygen's defaults, run doxygen with the -l option. You can
+# optionally specify a file name after the option, if omitted DoxygenLayout.xml
+# will be used as the name of the layout file.
+#
+# Note that if you run doxygen from a directory containing a file called
+# DoxygenLayout.xml, doxygen will parse it automatically even if the LAYOUT_FILE
+# tag is left empty.
+
+LAYOUT_FILE =
+
+# The CITE_BIB_FILES tag can be used to specify one or more bib files containing
+# the reference definitions. This must be a list of .bib files. The .bib
+# extension is automatically appended if omitted. This requires the bibtex tool
+# to be installed. See also https://en.wikipedia.org/wiki/BibTeX for more info.
+# For LaTeX the style of the bibliography can be controlled using
+# LATEX_BIB_STYLE. To use this feature you need bibtex and perl available in the
+# search path. See also \cite for info how to create references.
+
+CITE_BIB_FILES =
+
+#---------------------------------------------------------------------------
+# Configuration options related to warning and progress messages
+#---------------------------------------------------------------------------
+
+# The QUIET tag can be used to turn on/off the messages that are generated to
+# standard output by doxygen. If QUIET is set to YES this implies that the
+# messages are off.
+# The default value is: NO.
+
+QUIET = NO
+
+# The WARNINGS tag can be used to turn on/off the warning messages that are
+# generated to standard error (stderr) by doxygen. If WARNINGS is set to YES
+# this implies that the warnings are on.
+#
+# Tip: Turn warnings on while writing the documentation.
+# The default value is: YES.
+
+WARNINGS = YES
+
+# If the WARN_IF_UNDOCUMENTED tag is set to YES then doxygen will generate
+# warnings for undocumented members. If EXTRACT_ALL is set to YES then this flag
+# will automatically be disabled.
+# The default value is: YES.
+
+WARN_IF_UNDOCUMENTED = YES
+
+# If the WARN_IF_DOC_ERROR tag is set to YES, doxygen will generate warnings for
+# potential errors in the documentation, such as not documenting some parameters
+# in a documented function, or documenting parameters that don't exist or using
+# markup commands wrongly.
+# The default value is: YES.
+
+WARN_IF_DOC_ERROR = YES
+
+# This WARN_NO_PARAMDOC option can be enabled to get warnings for functions that
+# are documented, but have no documentation for their parameters or return
+# value. If set to NO, doxygen will only warn about wrong or incomplete
+# parameter documentation, but not about the absence of documentation. If
+# EXTRACT_ALL is set to YES then this flag will automatically be disabled.
+# The default value is: NO.
+
+WARN_NO_PARAMDOC = NO
+
+# If the WARN_AS_ERROR tag is set to YES then doxygen will immediately stop when
+# a warning is encountered.
+# The default value is: NO.
+
+WARN_AS_ERROR = NO
+
+# The WARN_FORMAT tag determines the format of the warning messages that doxygen
+# can produce. The string should contain the $file, $line, and $text tags, which
+# will be replaced by the file and line number from which the warning originated
+# and the warning text. Optionally the format may contain $version, which will
+# be replaced by the version of the file (if it could be obtained via
+# FILE_VERSION_FILTER)
+# The default value is: $file:$line: $text.
+
+WARN_FORMAT = "$file:$line: $text"
+
+# The WARN_LOGFILE tag can be used to specify a file to which warning and error
+# messages should be written. If left blank the output is written to standard
+# error (stderr).
+
+WARN_LOGFILE =
+
+#---------------------------------------------------------------------------
+# Configuration options related to the input files
+#---------------------------------------------------------------------------
+
+# The INPUT tag is used to specify the files and/or directories that contain
+# documented source files. You may enter file names like myfile.cpp or
+# directories like /usr/src/myproject. Separate the files or directories with
+# spaces. See also FILE_PATTERNS and EXTENSION_MAPPING
+# Note: If this tag is empty the current directory is searched.
+
+INPUT = . \
+ .\..\..\..\..\RcdMathLib \
+ .\..\..\..\linear_algebra\doc.txt \
+ .\..\..\..\linear_algebra\basic_operations\doc.txt \
+ .\..\..\..\linear_algebra\matrix_decompositions\doc.txt \
+ .\..\..\..\linear_algebra\utilities\doc.txt \
+ .\..\..\..\linear_algebra\pseudo_inverse\doc.txt \
+ .\..\..\..\linear_algebra\solve_linear_equations\doc.txt \
+ .\..\..\..\localization\doc.txt \
+ .\..\..\..\localization\position_algos\doc.txt \
+ .\..\..\..\localization\position_algos\distance_based\doc.txt \
+ .\..\..\..\localization\position_algos\magnetic_based\doc.txt \
+ .\..\..\..\localization\position_algos\pos_algos_common\doc.txt \
+ .\..\..\..\localization\position_optimization\doc.txt \
+ .\..\..\..\non_linear_algebra\doc.txt \
+ .\..\..\..\non_linear_algebra\solve_non_linear_equations\doc.txt \
+ .\..\..\..\non_linear_algebra\optimization\doc.txt \
+ .\..\..\..\examples\doc.txt
+
+# This tag can be used to specify the character encoding of the source files
+# that doxygen parses. Internally doxygen uses the UTF-8 encoding. Doxygen uses
+# libiconv (or the iconv built into libc) for the transcoding. See the libiconv
+# documentation (see: https://www.gnu.org/software/libiconv/) for the list of
+# possible encodings.
+# The default value is: UTF-8.
+
+INPUT_ENCODING = UTF-8
+
+# If the value of the INPUT tag contains directories, you can use the
+# FILE_PATTERNS tag to specify one or more wildcard patterns (like *.cpp and
+# *.h) to filter out the source-files in the directories.
+#
+# Note that for custom extensions or not directly supported extensions you also
+# need to set EXTENSION_MAPPING for the extension otherwise the files are not
+# read by doxygen.
+#
+# If left blank the following patterns are tested:*.c, *.cc, *.cxx, *.cpp,
+# *.c++, *.java, *.ii, *.ixx, *.ipp, *.i++, *.inl, *.idl, *.ddl, *.odl, *.h,
+# *.hh, *.hxx, *.hpp, *.h++, *.cs, *.d, *.php, *.php4, *.php5, *.phtml, *.inc,
+# *.m, *.markdown, *.md, *.mm, *.dox, *.py, *.pyw, *.f90, *.f95, *.f03, *.f08,
+# *.f, *.for, *.tcl, *.vhd, *.vhdl, *.ucf, *.qsf and *.ice.
+
+FILE_PATTERNS = *.c \
+ *.cc \
+ *.cxx \
+ *.cpp \
+ *.c++ \
+ *.java \
+ *.ii \
+ *.ixx \
+ *.ipp \
+ *.i++ \
+ *.inl \
+ *.idl \
+ *.ddl \
+ *.odl \
+ *.h \
+ *.hh \
+ *.hxx \
+ *.hpp \
+ *.h++ \
+ *.cs \
+ *.d \
+ *.php \
+ *.php4 \
+ *.php5 \
+ *.phtml \
+ *.inc \
+ *.m \
+ *.markdown \
+ *.md \
+ *.mm \
+ *.dox \
+ *.py \
+ *.pyw \
+ *.f90 \
+ *.f95 \
+ *.f03 \
+ *.f08 \
+ *.f \
+ *.for \
+ *.tcl \
+ *.vhd \
+ *.vhdl \
+ *.ucf \
+ *.qsf \
+ *.ice
+
+# The RECURSIVE tag can be used to specify whether or not subdirectories should
+# be searched for input files as well.
+# The default value is: NO.
+
+RECURSIVE = YES
+
+# The EXCLUDE tag can be used to specify files and/or directories that should be
+# excluded from the INPUT source files. This way you can easily exclude a
+# subdirectory from a directory tree whose root is specified with the INPUT tag.
+#
+# Note that relative paths are relative to the directory from which doxygen is
+# run.
+
+EXCLUDE =
+
+# The EXCLUDE_SYMLINKS tag can be used to select whether or not files or
+# directories that are symbolic links (a Unix file system feature) are excluded
+# from the input.
+# The default value is: NO.
+
+EXCLUDE_SYMLINKS = NO
+
+# If the value of the INPUT tag contains directories, you can use the
+# EXCLUDE_PATTERNS tag to specify one or more wildcard patterns to exclude
+# certain files from those directories.
+#
+# Note that the wildcards are matched against the file with absolute path, so to
+# exclude all test directories for example use the pattern */test/*
+
+EXCLUDE_PATTERNS =
+
+# The EXCLUDE_SYMBOLS tag can be used to specify one or more symbol names
+# (namespaces, classes, functions, etc.) that should be excluded from the
+# output. The symbol name can be a fully qualified name, a word, or if the
+# wildcard * is used, a substring. Examples: ANamespace, AClass,
+# AClass::ANamespace, ANamespace::*Test
+#
+# Note that the wildcards are matched against the file with absolute path, so to
+# exclude all test directories use the pattern */test/*
+
+EXCLUDE_SYMBOLS =
+
+# The EXAMPLE_PATH tag can be used to specify one or more files or directories
+# that contain example code fragments that are included (see the \include
+# command).
+
+EXAMPLE_PATH =
+
+# If the value of the EXAMPLE_PATH tag contains directories, you can use the
+# EXAMPLE_PATTERNS tag to specify one or more wildcard pattern (like *.cpp and
+# *.h) to filter out the source-files in the directories. If left blank all
+# files are included.
+
+EXAMPLE_PATTERNS = *
+
+# If the EXAMPLE_RECURSIVE tag is set to YES then subdirectories will be
+# searched for input files to be used with the \include or \dontinclude commands
+# irrespective of the value of the RECURSIVE tag.
+# The default value is: NO.
+
+EXAMPLE_RECURSIVE = NO
+
+# The IMAGE_PATH tag can be used to specify one or more files or directories
+# that contain images that are to be included in the documentation (see the
+# \image command).
+
+IMAGE_PATH = ./figures/
+
+# The INPUT_FILTER tag can be used to specify a program that doxygen should
+# invoke to filter for each input file. Doxygen will invoke the filter program
+# by executing (via popen()) the command:
+#
+# <filter> <input-file>
+#
+# where <filter> is the value of the INPUT_FILTER tag, and <input-file> is the
+# name of an input file. Doxygen will then use the output that the filter
+# program writes to standard output. If FILTER_PATTERNS is specified, this tag
+# will be ignored.
+#
+# Note that the filter must not add or remove lines; it is applied before the
+# code is scanned, but not when the output code is generated. If lines are added
+# or removed, the anchors will not be placed correctly.
+#
+# Note that for custom extensions or not directly supported extensions you also
+# need to set EXTENSION_MAPPING for the extension otherwise the files are not
+# properly processed by doxygen.
+
+INPUT_FILTER =
+
+# The FILTER_PATTERNS tag can be used to specify filters on a per file pattern
+# basis. Doxygen will compare the file name with each pattern and apply the
+# filter if there is a match. The filters are a list of the form: pattern=filter
+# (like *.cpp=my_cpp_filter). See INPUT_FILTER for further information on how
+# filters are used. If the FILTER_PATTERNS tag is empty or if none of the
+# patterns match the file name, INPUT_FILTER is applied.
+#
+# Note that for custom extensions or not directly supported extensions you also
+# need to set EXTENSION_MAPPING for the extension otherwise the files are not
+# properly processed by doxygen.
+
+FILTER_PATTERNS =
+
+# If the FILTER_SOURCE_FILES tag is set to YES, the input filter (if set using
+# INPUT_FILTER) will also be used to filter the input files that are used for
+# producing the source files to browse (i.e. when SOURCE_BROWSER is set to YES).
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+
+FILTER_SOURCE_FILES = NO
+
+# The FILTER_SOURCE_PATTERNS tag can be used to specify source filters per file
+# pattern. A pattern will override the setting for FILTER_PATTERN (if any) and
+# it is also possible to disable source filtering for a specific pattern using
+# *.ext= (so without naming a filter).
+# This tag requires that the tag FILTER_SOURCE_FILES is set to YES.
+
+FILTER_SOURCE_PATTERNS =
+
+# If the USE_MDFILE_AS_MAINPAGE tag refers to the name of a markdown file that
+# is part of the input, its contents will be placed on the main page
+# (index.html). This can be useful if you have a project on for instance GitHub
+# and want to reuse the introduction page also for the doxygen output.
+
+USE_MDFILE_AS_MAINPAGE =
+
+#---------------------------------------------------------------------------
+# Configuration options related to source browsing
+#---------------------------------------------------------------------------
+
+# If the SOURCE_BROWSER tag is set to YES then a list of source files will be
+# generated. Documented entities will be cross-referenced with these sources.
+#
+# Note: To get rid of all source code in the generated output, make sure that
+# also VERBATIM_HEADERS is set to NO.
+# The default value is: NO.
+
+SOURCE_BROWSER = YES
+
+# Setting the INLINE_SOURCES tag to YES will include the body of functions,
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+# The default value is: NO.
+
+INLINE_SOURCES = NO
+
+# Setting the STRIP_CODE_COMMENTS tag to YES will instruct doxygen to hide any
+# special comment blocks from generated source code fragments. Normal C, C++ and
+# Fortran comments will always remain visible.
+# The default value is: YES.
+
+STRIP_CODE_COMMENTS = YES
+
+# If the REFERENCED_BY_RELATION tag is set to YES then for each documented
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+# The default value is: NO.
+
+REFERENCED_BY_RELATION = YES
+
+# If the REFERENCES_RELATION tag is set to YES then for each documented function
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+
+REFERENCES_RELATION = YES
+
+# If the REFERENCES_LINK_SOURCE tag is set to YES and SOURCE_BROWSER tag is set
+# to YES then the hyperlinks from functions in REFERENCES_RELATION and
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+# link to the documentation.
+# The default value is: YES.
+
+REFERENCES_LINK_SOURCE = YES
+
+# If SOURCE_TOOLTIPS is enabled (the default) then hovering a hyperlink in the
+# source code will show a tooltip with additional information such as prototype,
+# brief description and links to the definition and documentation. Since this
+# will make the HTML file larger and loading of large files a bit slower, you
+# can opt to disable this feature.
+# The default value is: YES.
+# This tag requires that the tag SOURCE_BROWSER is set to YES.
+
+SOURCE_TOOLTIPS = YES
+
+# If the USE_HTAGS tag is set to YES then the references to source code will
+# point to the HTML generated by the htags(1) tool instead of doxygen built-in
+# source browser. The htags tool is part of GNU's global source tagging system
+# (see https://www.gnu.org/software/global/global.html). You will need version
+# 4.8.6 or higher.
+#
+# To use it do the following:
+# - Install the latest version of global
+# - Enable SOURCE_BROWSER and USE_HTAGS in the configuration file
+# - Make sure the INPUT points to the root of the source tree
+# - Run doxygen as normal
+#
+# Doxygen will invoke htags (and that will in turn invoke gtags), so these
+# tools must be available from the command line (i.e. in the search path).
+#
+# The result: instead of the source browser generated by doxygen, the links to
+# source code will now point to the output of htags.
+# The default value is: NO.
+# This tag requires that the tag SOURCE_BROWSER is set to YES.
+
+USE_HTAGS = NO
+
+# If the VERBATIM_HEADERS tag is set the YES then doxygen will generate a
+# verbatim copy of the header file for each class for which an include is
+# specified. Set to NO to disable this.
+# See also: Section \class.
+# The default value is: YES.
+
+VERBATIM_HEADERS = YES
+
+# If the CLANG_ASSISTED_PARSING tag is set to YES then doxygen will use the
+# clang parser (see: http://clang.llvm.org/) for more accurate parsing at the
+# cost of reduced performance. This can be particularly helpful with template
+# rich C++ code for which doxygen's built-in parser lacks the necessary type
+# information.
+# Note: The availability of this option depends on whether or not doxygen was
+# generated with the -Duse_libclang=ON option for CMake.
+# The default value is: NO.
+
+CLANG_ASSISTED_PARSING = NO
+
+# If clang assisted parsing is enabled you can provide the compiler with command
+# line options that you would normally use when invoking the compiler. Note that
+# the include paths will already be set by doxygen for the files and directories
+# specified with INPUT and INCLUDE_PATH.
+# This tag requires that the tag CLANG_ASSISTED_PARSING is set to YES.
+
+CLANG_OPTIONS =
+
+# If clang assisted parsing is enabled you can provide the clang parser with the
+# path to the compilation database (see:
+# http://clang.llvm.org/docs/HowToSetupToolingForLLVM.html) used when the files
+# were built. This is equivalent to specifying the "-p" option to a clang tool,
+# such as clang-check. These options will then be passed to the parser.
+# Note: The availability of this option depends on whether or not doxygen was
+# generated with the -Duse_libclang=ON option for CMake.
+
+CLANG_DATABASE_PATH =
+
+#---------------------------------------------------------------------------
+# Configuration options related to the alphabetical class index
+#---------------------------------------------------------------------------
+
+# If the ALPHABETICAL_INDEX tag is set to YES, an alphabetical index of all
+# compounds will be generated. Enable this if the project contains a lot of
+# classes, structs, unions or interfaces.
+# The default value is: YES.
+
+ALPHABETICAL_INDEX = YES
+
+# The COLS_IN_ALPHA_INDEX tag can be used to specify the number of columns in
+# which the alphabetical index list will be split.
+# Minimum value: 1, maximum value: 20, default value: 5.
+# This tag requires that the tag ALPHABETICAL_INDEX is set to YES.
+
+COLS_IN_ALPHA_INDEX = 5
+
+# In case all classes in a project start with a common prefix, all classes will
+# be put under the same header in the alphabetical index. The IGNORE_PREFIX tag
+# can be used to specify a prefix (or a list of prefixes) that should be ignored
+# while generating the index headers.
+# This tag requires that the tag ALPHABETICAL_INDEX is set to YES.
+
+IGNORE_PREFIX =
+
+#---------------------------------------------------------------------------
+# Configuration options related to the HTML output
+#---------------------------------------------------------------------------
+
+# If the GENERATE_HTML tag is set to YES, doxygen will generate HTML output
+# The default value is: YES.
+
+GENERATE_HTML = YES
+
+# The HTML_OUTPUT tag is used to specify where the HTML docs will be put. If a
+# relative path is entered the value of OUTPUT_DIRECTORY will be put in front of
+# it.
+# The default directory is: html.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+HTML_OUTPUT = html
+
+# The HTML_FILE_EXTENSION tag can be used to specify the file extension for each
+# generated HTML page (for example: .htm, .php, .asp).
+# The default value is: .html.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+HTML_FILE_EXTENSION = .html
+
+# The HTML_HEADER tag can be used to specify a user-defined HTML header file for
+# each generated HTML page. If the tag is left blank doxygen will generate a
+# standard header.
+#
+# To get valid HTML the header file that includes any scripts and style sheets
+# that doxygen needs, which is dependent on the configuration options used (e.g.
+# the setting GENERATE_TREEVIEW). It is highly recommended to start with a
+# default header using
+# doxygen -w html new_header.html new_footer.html new_stylesheet.css
+# YourConfigFile
+# and then modify the file new_header.html. See also section "Doxygen usage"
+# for information on how to generate the default header that doxygen normally
+# uses.
+# Note: The header is subject to change so you typically have to regenerate the
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+# of the possible markers and block names see the documentation.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+HTML_HEADER =
+
+# The HTML_FOOTER tag can be used to specify a user-defined HTML footer for each
+# generated HTML page. If the tag is left blank doxygen will generate a standard
+# footer. See HTML_HEADER for more information on how to generate a default
+# footer and what special commands can be used inside the footer. See also
+# section "Doxygen usage" for information on how to generate the default footer
+# that doxygen normally uses.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+HTML_FOOTER =
+
+# The HTML_STYLESHEET tag can be used to specify a user-defined cascading style
+# sheet that is used by each HTML page. It can be used to fine-tune the look of
+# the HTML output. If left blank doxygen will generate a default style sheet.
+# See also section "Doxygen usage" for information on how to generate the style
+# sheet that doxygen normally uses.
+# Note: It is recommended to use HTML_EXTRA_STYLESHEET instead of this tag, as
+# it is more robust and this tag (HTML_STYLESHEET) will in the future become
+# obsolete.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+HTML_STYLESHEET =
+
+# The HTML_EXTRA_STYLESHEET tag can be used to specify additional user-defined
+# cascading style sheets that are included after the standard style sheets
+# created by doxygen. Using this option one can overrule certain style aspects.
+# This is preferred over using HTML_STYLESHEET since it does not replace the
+# standard style sheet and is therefore more robust against future updates.
+# Doxygen will copy the style sheet files to the output directory.
+# Note: The order of the extra style sheet files is of importance (e.g. the last
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+# list). For an example see the documentation.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+HTML_EXTRA_STYLESHEET =
+
+# The HTML_EXTRA_FILES tag can be used to specify one or more extra images or
+# other source files which should be copied to the HTML output directory. Note
+# that these files will be copied to the base HTML output directory. Use the
+# $relpath^ marker in the HTML_HEADER and/or HTML_FOOTER files to load these
+# files. In the HTML_STYLESHEET file, use the file name only. Also note that the
+# files will be copied as-is; there are no commands or markers available.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+HTML_EXTRA_FILES =
+
+# The HTML_COLORSTYLE_HUE tag controls the color of the HTML output. Doxygen
+# will adjust the colors in the style sheet and background images according to
+# this color. Hue is specified as an angle on a colorwheel, see
+# https://en.wikipedia.org/wiki/Hue for more information. For instance the value
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+# purple, and 360 is red again.
+# Minimum value: 0, maximum value: 359, default value: 220.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+HTML_COLORSTYLE_HUE = 220
+
+# The HTML_COLORSTYLE_SAT tag controls the purity (or saturation) of the colors
+# in the HTML output. For a value of 0 the output will use grayscales only. A
+# value of 255 will produce the most vivid colors.
+# Minimum value: 0, maximum value: 255, default value: 100.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+HTML_COLORSTYLE_SAT = 100
+
+# The HTML_COLORSTYLE_GAMMA tag controls the gamma correction applied to the
+# luminance component of the colors in the HTML output. Values below 100
+# gradually make the output lighter, whereas values above 100 make the output
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+# Minimum value: 40, maximum value: 240, default value: 80.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+HTML_COLORSTYLE_GAMMA = 80
+
+# If the HTML_TIMESTAMP tag is set to YES then the footer of each generated HTML
+# page will contain the date and time when the page was generated. Setting this
+# to YES can help to show when doxygen was last run and thus if the
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+# The default value is: NO.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+HTML_TIMESTAMP = NO
+
+# If the HTML_DYNAMIC_MENUS tag is set to YES then the generated HTML
+# documentation will contain a main index with vertical navigation menus that
+# are dynamically created via Javascript. If disabled, the navigation index will
+# consists of multiple levels of tabs that are statically embedded in every HTML
+# page. Disable this option to support browsers that do not have Javascript,
+# like the Qt help browser.
+# The default value is: YES.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+HTML_DYNAMIC_MENUS = YES
+
+# If the HTML_DYNAMIC_SECTIONS tag is set to YES then the generated HTML
+# documentation will contain sections that can be hidden and shown after the
+# page has loaded.
+# The default value is: NO.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+HTML_DYNAMIC_SECTIONS = NO
+
+# With HTML_INDEX_NUM_ENTRIES one can control the preferred number of entries
+# shown in the various tree structured indices initially; the user can expand
+# and collapse entries dynamically later on. Doxygen will expand the tree to
+# such a level that at most the specified number of entries are visible (unless
+# a fully collapsed tree already exceeds this amount). So setting the number of
+# entries 1 will produce a full collapsed tree by default. 0 is a special value
+# representing an infinite number of entries and will result in a full expanded
+# tree by default.
+# Minimum value: 0, maximum value: 9999, default value: 100.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+HTML_INDEX_NUM_ENTRIES = 100
+
+# If the GENERATE_DOCSET tag is set to YES, additional index files will be
+# generated that can be used as input for Apple's Xcode 3 integrated development
+# environment (see: https://developer.apple.com/xcode/), introduced with OSX
+# 10.5 (Leopard). To create a documentation set, doxygen will generate a
+# Makefile in the HTML output directory. Running make will produce the docset in
+# that directory and running make install will install the docset in
+# ~/Library/Developer/Shared/Documentation/DocSets so that Xcode will find it at
+# startup. See https://developer.apple.com/library/archive/featuredarticles/Doxy
+# genXcode/_index.html for more information.
+# The default value is: NO.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+GENERATE_DOCSET = NO
+
+# This tag determines the name of the docset feed. A documentation feed provides
+# an umbrella under which multiple documentation sets from a single provider
+# (such as a company or product suite) can be grouped.
+# The default value is: Doxygen generated docs.
+# This tag requires that the tag GENERATE_DOCSET is set to YES.
+
+DOCSET_FEEDNAME = "Doxygen generated docs"
+
+# This tag specifies a string that should uniquely identify the documentation
+# set bundle. This should be a reverse domain-name style string, e.g.
+# com.mycompany.MyDocSet. Doxygen will append .docset to the name.
+# The default value is: org.doxygen.Project.
+# This tag requires that the tag GENERATE_DOCSET is set to YES.
+
+DOCSET_BUNDLE_ID = org.doxygen.Project
+
+# The DOCSET_PUBLISHER_ID tag specifies a string that should uniquely identify
+# the documentation publisher. This should be a reverse domain-name style
+# string, e.g. com.mycompany.MyDocSet.documentation.
+# The default value is: org.doxygen.Publisher.
+# This tag requires that the tag GENERATE_DOCSET is set to YES.
+
+DOCSET_PUBLISHER_ID = org.doxygen.Publisher
+
+# The DOCSET_PUBLISHER_NAME tag identifies the documentation publisher.
+# The default value is: Publisher.
+# This tag requires that the tag GENERATE_DOCSET is set to YES.
+
+DOCSET_PUBLISHER_NAME = Publisher
+
+# If the GENERATE_HTMLHELP tag is set to YES then doxygen generates three
+# additional HTML index files: index.hhp, index.hhc, and index.hhk. The
+# index.hhp is a project file that can be read by Microsoft's HTML Help Workshop
+# (see: https://www.microsoft.com/en-us/download/details.aspx?id=21138) on
+# Windows.
+#
+# The HTML Help Workshop contains a compiler that can convert all HTML output
+# generated by doxygen into a single compiled HTML file (.chm). Compiled HTML
+# files are now used as the Windows 98 help format, and will replace the old
+# Windows help format (.hlp) on all Windows platforms in the future. Compressed
+# HTML files also contain an index, a table of contents, and you can search for
+# words in the documentation. The HTML workshop also contains a viewer for
+# compressed HTML files.
+# The default value is: NO.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+GENERATE_HTMLHELP = NO
+
+# The CHM_FILE tag can be used to specify the file name of the resulting .chm
+# file. You can add a path in front of the file if the result should not be
+# written to the html output directory.
+# This tag requires that the tag GENERATE_HTMLHELP is set to YES.
+
+CHM_FILE =
+
+# The HHC_LOCATION tag can be used to specify the location (absolute path
+# including file name) of the HTML help compiler (hhc.exe). If non-empty,
+# doxygen will try to run the HTML help compiler on the generated index.hhp.
+# The file has to be specified with full path.
+# This tag requires that the tag GENERATE_HTMLHELP is set to YES.
+
+HHC_LOCATION =
+
+# The GENERATE_CHI flag controls if a separate .chi index file is generated
+# (YES) or that it should be included in the master .chm file (NO).
+# The default value is: NO.
+# This tag requires that the tag GENERATE_HTMLHELP is set to YES.
+
+GENERATE_CHI = NO
+
+# The CHM_INDEX_ENCODING is used to encode HtmlHelp index (hhk), content (hhc)
+# and project file content.
+# This tag requires that the tag GENERATE_HTMLHELP is set to YES.
+
+CHM_INDEX_ENCODING =
+
+# The BINARY_TOC flag controls whether a binary table of contents is generated
+# (YES) or a normal table of contents (NO) in the .chm file. Furthermore it
+# enables the Previous and Next buttons.
+# The default value is: NO.
+# This tag requires that the tag GENERATE_HTMLHELP is set to YES.
+
+BINARY_TOC = NO
+
+# The TOC_EXPAND flag can be set to YES to add extra items for group members to
+# the table of contents of the HTML help documentation and to the tree view.
+# The default value is: NO.
+# This tag requires that the tag GENERATE_HTMLHELP is set to YES.
+
+TOC_EXPAND = NO
+
+# If the GENERATE_QHP tag is set to YES and both QHP_NAMESPACE and
+# QHP_VIRTUAL_FOLDER are set, an additional index file will be generated that
+# can be used as input for Qt's qhelpgenerator to generate a Qt Compressed Help
+# (.qch) of the generated HTML documentation.
+# The default value is: NO.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+GENERATE_QHP = NO
+
+# If the QHG_LOCATION tag is specified, the QCH_FILE tag can be used to specify
+# the file name of the resulting .qch file. The path specified is relative to
+# the HTML output folder.
+# This tag requires that the tag GENERATE_QHP is set to YES.
+
+QCH_FILE =
+
+# The QHP_NAMESPACE tag specifies the namespace to use when generating Qt Help
+# Project output. For more information please see Qt Help Project / Namespace
+# (see: https://doc.qt.io/archives/qt-4.8/qthelpproject.html#namespace).
+# The default value is: org.doxygen.Project.
+# This tag requires that the tag GENERATE_QHP is set to YES.
+
+QHP_NAMESPACE = org.doxygen.Project
+
+# The QHP_VIRTUAL_FOLDER tag specifies the namespace to use when generating Qt
+# Help Project output. For more information please see Qt Help Project / Virtual
+# Folders (see: https://doc.qt.io/archives/qt-4.8/qthelpproject.html#virtual-
+# folders).
+# The default value is: doc.
+# This tag requires that the tag GENERATE_QHP is set to YES.
+
+QHP_VIRTUAL_FOLDER = doc
+
+# If the QHP_CUST_FILTER_NAME tag is set, it specifies the name of a custom
+# filter to add. For more information please see Qt Help Project / Custom
+# Filters (see: https://doc.qt.io/archives/qt-4.8/qthelpproject.html#custom-
+# filters).
+# This tag requires that the tag GENERATE_QHP is set to YES.
+
+QHP_CUST_FILTER_NAME =
+
+# The QHP_CUST_FILTER_ATTRS tag specifies the list of the attributes of the
+# custom filter to add. For more information please see Qt Help Project / Custom
+# Filters (see: https://doc.qt.io/archives/qt-4.8/qthelpproject.html#custom-
+# filters).
+# This tag requires that the tag GENERATE_QHP is set to YES.
+
+QHP_CUST_FILTER_ATTRS =
+
+# The QHP_SECT_FILTER_ATTRS tag specifies the list of the attributes this
+# project's filter section matches. Qt Help Project / Filter Attributes (see:
+# https://doc.qt.io/archives/qt-4.8/qthelpproject.html#filter-attributes).
+# This tag requires that the tag GENERATE_QHP is set to YES.
+
+QHP_SECT_FILTER_ATTRS =
+
+# The QHG_LOCATION tag can be used to specify the location of Qt's
+# qhelpgenerator. If non-empty doxygen will try to run qhelpgenerator on the
+# generated .qhp file.
+# This tag requires that the tag GENERATE_QHP is set to YES.
+
+QHG_LOCATION =
+
+# If the GENERATE_ECLIPSEHELP tag is set to YES, additional index files will be
+# generated, together with the HTML files, they form an Eclipse help plugin. To
+# install this plugin and make it available under the help contents menu in
+# Eclipse, the contents of the directory containing the HTML and XML files needs
+# to be copied into the plugins directory of eclipse. The name of the directory
+# within the plugins directory should be the same as the ECLIPSE_DOC_ID value.
+# After copying Eclipse needs to be restarted before the help appears.
+# The default value is: NO.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+GENERATE_ECLIPSEHELP = NO
+
+# A unique identifier for the Eclipse help plugin. When installing the plugin
+# the directory name containing the HTML and XML files should also have this
+# name. Each documentation set should have its own identifier.
+# The default value is: org.doxygen.Project.
+# This tag requires that the tag GENERATE_ECLIPSEHELP is set to YES.
+
+ECLIPSE_DOC_ID = org.doxygen.Project
+
+# If you want full control over the layout of the generated HTML pages it might
+# be necessary to disable the index and replace it with your own. The
+# DISABLE_INDEX tag can be used to turn on/off the condensed index (tabs) at top
+# of each HTML page. A value of NO enables the index and the value YES disables
+# it. Since the tabs in the index contain the same information as the navigation
+# tree, you can set this option to YES if you also set GENERATE_TREEVIEW to YES.
+# The default value is: NO.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+DISABLE_INDEX = NO
+
+# The GENERATE_TREEVIEW tag is used to specify whether a tree-like index
+# structure should be generated to display hierarchical information. If the tag
+# value is set to YES, a side panel will be generated containing a tree-like
+# index structure (just like the one that is generated for HTML Help). For this
+# to work a browser that supports JavaScript, DHTML, CSS and frames is required
+# (i.e. any modern browser). Windows users are probably better off using the
+# HTML help feature. Via custom style sheets (see HTML_EXTRA_STYLESHEET) one can
+# further fine-tune the look of the index. As an example, the default style
+# sheet generated by doxygen has an example that shows how to put an image at
+# the root of the tree instead of the PROJECT_NAME. Since the tree basically has
+# the same information as the tab index, you could consider setting
+# DISABLE_INDEX to YES when enabling this option.
+# The default value is: NO.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+GENERATE_TREEVIEW = YES
+
+# The ENUM_VALUES_PER_LINE tag can be used to set the number of enum values that
+# doxygen will group on one line in the generated HTML documentation.
+#
+# Note that a value of 0 will completely suppress the enum values from appearing
+# in the overview section.
+# Minimum value: 0, maximum value: 20, default value: 4.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+ENUM_VALUES_PER_LINE = 4
+
+# If the treeview is enabled (see GENERATE_TREEVIEW) then this tag can be used
+# to set the initial width (in pixels) of the frame in which the tree is shown.
+# Minimum value: 0, maximum value: 1500, default value: 250.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+TREEVIEW_WIDTH = 250
+
+# If the EXT_LINKS_IN_WINDOW option is set to YES, doxygen will open links to
+# external symbols imported via tag files in a separate window.
+# The default value is: NO.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+EXT_LINKS_IN_WINDOW = NO
+
+# Use this tag to change the font size of LaTeX formulas included as images in
+# the HTML documentation. When you change the font size after a successful
+# doxygen run you need to manually remove any form_*.png images from the HTML
+# output directory to force them to be regenerated.
+# Minimum value: 8, maximum value: 50, default value: 10.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+FORMULA_FONTSIZE = 10
+
+# Use the FORMULA_TRANSPARENT tag to determine whether or not the images
+# generated for formulas are transparent PNGs. Transparent PNGs are not
+# supported properly for IE 6.0, but are supported on all modern browsers.
+#
+# Note that when changing this option you need to delete any form_*.png files in
+# the HTML output directory before the changes have effect.
+# The default value is: YES.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+FORMULA_TRANSPARENT = YES
+
+# Enable the USE_MATHJAX option to render LaTeX formulas using MathJax (see
+# https://www.mathjax.org) which uses client side Javascript for the rendering
+# instead of using pre-rendered bitmaps. Use this if you do not have LaTeX
+# installed or if you want to formulas look prettier in the HTML output. When
+# enabled you may also need to install MathJax separately and configure the path
+# to it using the MATHJAX_RELPATH option.
+# The default value is: NO.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+USE_MATHJAX = NO
+
+# When MathJax is enabled you can set the default output format to be used for
+# the MathJax output. See the MathJax site (see:
+# http://docs.mathjax.org/en/latest/output.html) for more details.
+# Possible values are: HTML-CSS (which is slower, but has the best
+# compatibility), NativeMML (i.e. MathML) and SVG.
+# The default value is: HTML-CSS.
+# This tag requires that the tag USE_MATHJAX is set to YES.
+
+MATHJAX_FORMAT = HTML-CSS
+
+# When MathJax is enabled you need to specify the location relative to the HTML
+# output directory using the MATHJAX_RELPATH option. The destination directory
+# should contain the MathJax.js script. For instance, if the mathjax directory
+# is located at the same level as the HTML output directory, then
+# MATHJAX_RELPATH should be ../mathjax. The default value points to the MathJax
+# Content Delivery Network so you can quickly see the result without installing
+# MathJax. However, it is strongly recommended to install a local copy of
+# MathJax from https://www.mathjax.org before deployment.
+# The default value is: https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/.
+# This tag requires that the tag USE_MATHJAX is set to YES.
+
+MATHJAX_RELPATH = https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/
+
+# The MATHJAX_EXTENSIONS tag can be used to specify one or more MathJax
+# extension names that should be enabled during MathJax rendering. For example
+# MATHJAX_EXTENSIONS = TeX/AMSmath TeX/AMSsymbols
+# This tag requires that the tag USE_MATHJAX is set to YES.
+
+MATHJAX_EXTENSIONS =
+
+# The MATHJAX_CODEFILE tag can be used to specify a file with javascript pieces
+# of code that will be used on startup of the MathJax code. See the MathJax site
+# (see: http://docs.mathjax.org/en/latest/output.html) for more details. For an
+# example see the documentation.
+# This tag requires that the tag USE_MATHJAX is set to YES.
+
+MATHJAX_CODEFILE =
+
+# When the SEARCHENGINE tag is enabled doxygen will generate a search box for
+# the HTML output. The underlying search engine uses javascript and DHTML and
+# should work on any modern browser. Note that when using HTML help
+# (GENERATE_HTMLHELP), Qt help (GENERATE_QHP), or docsets (GENERATE_DOCSET)
+# there is already a search function so this one should typically be disabled.
+# For large projects the javascript based search engine can be slow, then
+# enabling SERVER_BASED_SEARCH may provide a better solution. It is possible to
+# search using the keyboard; to jump to the search box use <access key> + S
+# (what the <access key> is depends on the OS and browser, but it is typically
+# <CTRL>, <ALT>/<option>, or both). Inside the search box use the <cursor down
+# key> to jump into the search results window, the results can be navigated
+# using the <cursor keys>. Press <Enter> to select an item or <escape> to cancel
+# the search. The filter options can be selected when the cursor is inside the
+# search box by pressing <Shift>+<cursor down>. Also here use the <cursor keys>
+# to select a filter and <Enter> or <escape> to activate or cancel the filter
+# option.
+# The default value is: YES.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+SEARCHENGINE = YES
+
+# When the SERVER_BASED_SEARCH tag is enabled the search engine will be
+# implemented using a web server instead of a web client using Javascript. There
+# are two flavors of web server based searching depending on the EXTERNAL_SEARCH
+# setting. When disabled, doxygen will generate a PHP script for searching and
+# an index file used by the script. When EXTERNAL_SEARCH is enabled the indexing
+# and searching needs to be provided by external tools. See the section
+# "External Indexing and Searching" for details.
+# The default value is: NO.
+# This tag requires that the tag SEARCHENGINE is set to YES.
+
+SERVER_BASED_SEARCH = NO
+
+# When EXTERNAL_SEARCH tag is enabled doxygen will no longer generate the PHP
+# script for searching. Instead the search results are written to an XML file
+# which needs to be processed by an external indexer. Doxygen will invoke an
+# external search engine pointed to by the SEARCHENGINE_URL option to obtain the
+# search results.
+#
+# Doxygen ships with an example indexer (doxyindexer) and search engine
+# (doxysearch.cgi) which are based on the open source search engine library
+# Xapian (see: https://xapian.org/).
+#
+# See the section "External Indexing and Searching" for details.
+# The default value is: NO.
+# This tag requires that the tag SEARCHENGINE is set to YES.
+
+EXTERNAL_SEARCH = NO
+
+# The SEARCHENGINE_URL should point to a search engine hosted by a web server
+# which will return the search results when EXTERNAL_SEARCH is enabled.
+#
+# Doxygen ships with an example indexer (doxyindexer) and search engine
+# (doxysearch.cgi) which are based on the open source search engine library
+# Xapian (see: https://xapian.org/). See the section "External Indexing and
+# Searching" for details.
+# This tag requires that the tag SEARCHENGINE is set to YES.
+
+SEARCHENGINE_URL =
+
+# When SERVER_BASED_SEARCH and EXTERNAL_SEARCH are both enabled the unindexed
+# search data is written to a file for indexing by an external tool. With the
+# SEARCHDATA_FILE tag the name of this file can be specified.
+# The default file is: searchdata.xml.
+# This tag requires that the tag SEARCHENGINE is set to YES.
+
+SEARCHDATA_FILE = searchdata.xml
+
+# When SERVER_BASED_SEARCH and EXTERNAL_SEARCH are both enabled the
+# EXTERNAL_SEARCH_ID tag can be used as an identifier for the project. This is
+# useful in combination with EXTRA_SEARCH_MAPPINGS to search through multiple
+# projects and redirect the results back to the right project.
+# This tag requires that the tag SEARCHENGINE is set to YES.
+
+EXTERNAL_SEARCH_ID =
+
+# The EXTRA_SEARCH_MAPPINGS tag can be used to enable searching through doxygen
+# projects other than the one defined by this configuration file, but that are
+# all added to the same external search index. Each project needs to have a
+# unique id set via EXTERNAL_SEARCH_ID. The search mapping then maps the id of
+# to a relative location where the documentation can be found. The format is:
+# EXTRA_SEARCH_MAPPINGS = tagname1=loc1 tagname2=loc2 ...
+# This tag requires that the tag SEARCHENGINE is set to YES.
+
+EXTRA_SEARCH_MAPPINGS =
+
+#---------------------------------------------------------------------------
+# Configuration options related to the LaTeX output
+#---------------------------------------------------------------------------
+
+# If the GENERATE_LATEX tag is set to YES, doxygen will generate LaTeX output.
+# The default value is: YES.
+
+GENERATE_LATEX = YES
+
+# The LATEX_OUTPUT tag is used to specify where the LaTeX docs will be put. If a
+# relative path is entered the value of OUTPUT_DIRECTORY will be put in front of
+# it.
+# The default directory is: latex.
+# This tag requires that the tag GENERATE_LATEX is set to YES.
+
+LATEX_OUTPUT = latex
+
+# The LATEX_CMD_NAME tag can be used to specify the LaTeX command name to be
+# invoked.
+#
+# Note that when not enabling USE_PDFLATEX the default is latex when enabling
+# USE_PDFLATEX the default is pdflatex and when in the later case latex is
+# chosen this is overwritten by pdflatex. For specific output languages the
+# default can have been set differently, this depends on the implementation of
+# the output language.
+# This tag requires that the tag GENERATE_LATEX is set to YES.
+
+LATEX_CMD_NAME =
+
+# The MAKEINDEX_CMD_NAME tag can be used to specify the command name to generate
+# index for LaTeX.
+# Note: This tag is used in the Makefile / make.bat.
+# See also: LATEX_MAKEINDEX_CMD for the part in the generated output file
+# (.tex).
+# The default file is: makeindex.
+# This tag requires that the tag GENERATE_LATEX is set to YES.
+
+MAKEINDEX_CMD_NAME = makeindex
+
+# The LATEX_MAKEINDEX_CMD tag can be used to specify the command name to
+# generate index for LaTeX. In case there is no backslash (\) as first character
+# it will be automatically added in the LaTeX code.
+# Note: This tag is used in the generated output file (.tex).
+# See also: MAKEINDEX_CMD_NAME for the part in the Makefile / make.bat.
+# The default value is: makeindex.
+# This tag requires that the tag GENERATE_LATEX is set to YES.
+
+LATEX_MAKEINDEX_CMD = makeindex
+
+# If the COMPACT_LATEX tag is set to YES, doxygen generates more compact LaTeX
+# documents. This may be useful for small projects and may help to save some
+# trees in general.
+# The default value is: NO.
+# This tag requires that the tag GENERATE_LATEX is set to YES.
+
+COMPACT_LATEX = NO
+
+# The PAPER_TYPE tag can be used to set the paper type that is used by the
+# printer.
+# Possible values are: a4 (210 x 297 mm), letter (8.5 x 11 inches), legal (8.5 x
+# 14 inches) and executive (7.25 x 10.5 inches).
+# The default value is: a4.
+# This tag requires that the tag GENERATE_LATEX is set to YES.
+
+PAPER_TYPE = a4
+
+# The EXTRA_PACKAGES tag can be used to specify one or more LaTeX package names
+# that should be included in the LaTeX output. The package can be specified just
+# by its name or with the correct syntax as to be used with the LaTeX
+# \usepackage command. To get the times font for instance you can specify :
+# EXTRA_PACKAGES=times or EXTRA_PACKAGES={times}
+# To use the option intlimits with the amsmath package you can specify:
+# EXTRA_PACKAGES=[intlimits]{amsmath}
+# If left blank no extra packages will be included.
+# This tag requires that the tag GENERATE_LATEX is set to YES.
+
+EXTRA_PACKAGES = amsmath \
+ svg
+
+# The LATEX_HEADER tag can be used to specify a personal LaTeX header for the
+# generated LaTeX document. The header should contain everything until the first
+# chapter. If it is left blank doxygen will generate a standard header. See
+# section "Doxygen usage" for information on how to let doxygen write the
+# default header to a separate file.
+#
+# Note: Only use a user-defined header if you know what you are doing! The
+# following commands have a special meaning inside the header: $title,
+# $datetime, $date, $doxygenversion, $projectname, $projectnumber,
+# $projectbrief, $projectlogo. Doxygen will replace $title with the empty
+# string, for the replacement values of the other commands the user is referred
+# to HTML_HEADER.
+# This tag requires that the tag GENERATE_LATEX is set to YES.
+
+LATEX_HEADER =
+
+# The LATEX_FOOTER tag can be used to specify a personal LaTeX footer for the
+# generated LaTeX document. The footer should contain everything after the last
+# chapter. If it is left blank doxygen will generate a standard footer. See
+# LATEX_HEADER for more information on how to generate a default footer and what
+# special commands can be used inside the footer.
+#
+# Note: Only use a user-defined footer if you know what you are doing!
+# This tag requires that the tag GENERATE_LATEX is set to YES.
+
+LATEX_FOOTER =
+
+# The LATEX_EXTRA_STYLESHEET tag can be used to specify additional user-defined
+# LaTeX style sheets that are included after the standard style sheets created
+# by doxygen. Using this option one can overrule certain style aspects. Doxygen
+# will copy the style sheet files to the output directory.
+# Note: The order of the extra style sheet files is of importance (e.g. the last
+# style sheet in the list overrules the setting of the previous ones in the
+# list).
+# This tag requires that the tag GENERATE_LATEX is set to YES.
+
+LATEX_EXTRA_STYLESHEET =
+
+# The LATEX_EXTRA_FILES tag can be used to specify one or more extra images or
+# other source files which should be copied to the LATEX_OUTPUT output
+# directory. Note that the files will be copied as-is; there are no commands or
+# markers available.
+# This tag requires that the tag GENERATE_LATEX is set to YES.
+
+LATEX_EXTRA_FILES =
+
+# If the PDF_HYPERLINKS tag is set to YES, the LaTeX that is generated is
+# prepared for conversion to PDF (using ps2pdf or pdflatex). The PDF file will
+# contain links (just like the HTML output) instead of page references. This
+# makes the output suitable for online browsing using a PDF viewer.
+# The default value is: YES.
+# This tag requires that the tag GENERATE_LATEX is set to YES.
+
+PDF_HYPERLINKS = YES
+
+# If the USE_PDFLATEX tag is set to YES, doxygen will use pdflatex to generate
+# the PDF file directly from the LaTeX files. Set this option to YES, to get a
+# higher quality PDF documentation.
+# The default value is: YES.
+# This tag requires that the tag GENERATE_LATEX is set to YES.
+
+USE_PDFLATEX = YES
+
+# If the LATEX_BATCHMODE tag is set to YES, doxygen will add the \batchmode
+# command to the generated LaTeX files. This will instruct LaTeX to keep running
+# if errors occur, instead of asking the user for help. This option is also used
+# when generating formulas in HTML.
+# The default value is: NO.
+# This tag requires that the tag GENERATE_LATEX is set to YES.
+
+LATEX_BATCHMODE = NO
+
+# If the LATEX_HIDE_INDICES tag is set to YES then doxygen will not include the
+# index chapters (such as File Index, Compound Index, etc.) in the output.
+# The default value is: NO.
+# This tag requires that the tag GENERATE_LATEX is set to YES.
+
+LATEX_HIDE_INDICES = NO
+
+# If the LATEX_SOURCE_CODE tag is set to YES then doxygen will include source
+# code with syntax highlighting in the LaTeX output.
+#
+# Note that which sources are shown also depends on other settings such as
+# SOURCE_BROWSER.
+# The default value is: NO.
+# This tag requires that the tag GENERATE_LATEX is set to YES.
+
+LATEX_SOURCE_CODE = NO
+
+# The LATEX_BIB_STYLE tag can be used to specify the style to use for the
+# bibliography, e.g. plainnat, or ieeetr. See
+# https://en.wikipedia.org/wiki/BibTeX and \cite for more info.
+# The default value is: plain.
+# This tag requires that the tag GENERATE_LATEX is set to YES.
+
+LATEX_BIB_STYLE = plain
+
+# If the LATEX_TIMESTAMP tag is set to YES then the footer of each generated
+# page will contain the date and time when the page was generated. Setting this
+# to NO can help when comparing the output of multiple runs.
+# The default value is: NO.
+# This tag requires that the tag GENERATE_LATEX is set to YES.
+
+LATEX_TIMESTAMP = NO
+
+# The LATEX_EMOJI_DIRECTORY tag is used to specify the (relative or absolute)
+# path from which the emoji images will be read. If a relative path is entered,
+# it will be relative to the LATEX_OUTPUT directory. If left blank the
+# LATEX_OUTPUT directory will be used.
+# This tag requires that the tag GENERATE_LATEX is set to YES.
+
+LATEX_EMOJI_DIRECTORY =
+
+#---------------------------------------------------------------------------
+# Configuration options related to the RTF output
+#---------------------------------------------------------------------------
+
+# If the GENERATE_RTF tag is set to YES, doxygen will generate RTF output. The
+# RTF output is optimized for Word 97 and may not look too pretty with other RTF
+# readers/editors.
+# The default value is: NO.
+
+GENERATE_RTF = YES
+
+# The RTF_OUTPUT tag is used to specify where the RTF docs will be put. If a
+# relative path is entered the value of OUTPUT_DIRECTORY will be put in front of
+# it.
+# The default directory is: rtf.
+# This tag requires that the tag GENERATE_RTF is set to YES.
+
+RTF_OUTPUT = rtf
+
+# If the COMPACT_RTF tag is set to YES, doxygen generates more compact RTF
+# documents. This may be useful for small projects and may help to save some
+# trees in general.
+# The default value is: NO.
+# This tag requires that the tag GENERATE_RTF is set to YES.
+
+COMPACT_RTF = NO
+
+# If the RTF_HYPERLINKS tag is set to YES, the RTF that is generated will
+# contain hyperlink fields. The RTF file will contain links (just like the HTML
+# output) instead of page references. This makes the output suitable for online
+# browsing using Word or some other Word compatible readers that support those
+# fields.
+#
+# Note: WordPad (write) and others do not support links.
+# The default value is: NO.
+# This tag requires that the tag GENERATE_RTF is set to YES.
+
+RTF_HYPERLINKS = NO
+
+# Load stylesheet definitions from file. Syntax is similar to doxygen's
+# configuration file, i.e. a series of assignments. You only have to provide
+# replacements, missing definitions are set to their default value.
+#
+# See also section "Doxygen usage" for information on how to generate the
+# default style sheet that doxygen normally uses.
+# This tag requires that the tag GENERATE_RTF is set to YES.
+
+RTF_STYLESHEET_FILE =
+
+# Set optional variables used in the generation of an RTF document. Syntax is
+# similar to doxygen's configuration file. A template extensions file can be
+# generated using doxygen -e rtf extensionFile.
+# This tag requires that the tag GENERATE_RTF is set to YES.
+
+RTF_EXTENSIONS_FILE =
+
+# If the RTF_SOURCE_CODE tag is set to YES then doxygen will include source code
+# with syntax highlighting in the RTF output.
+#
+# Note that which sources are shown also depends on other settings such as
+# SOURCE_BROWSER.
+# The default value is: NO.
+# This tag requires that the tag GENERATE_RTF is set to YES.
+
+RTF_SOURCE_CODE = NO
+
+#---------------------------------------------------------------------------
+# Configuration options related to the man page output
+#---------------------------------------------------------------------------
+
+# If the GENERATE_MAN tag is set to YES, doxygen will generate man pages for
+# classes and files.
+# The default value is: NO.
+
+GENERATE_MAN = YES
+
+# The MAN_OUTPUT tag is used to specify where the man pages will be put. If a
+# relative path is entered the value of OUTPUT_DIRECTORY will be put in front of
+# it. A directory man3 will be created inside the directory specified by
+# MAN_OUTPUT.
+# The default directory is: man.
+# This tag requires that the tag GENERATE_MAN is set to YES.
+
+MAN_OUTPUT = man
+
+# The MAN_EXTENSION tag determines the extension that is added to the generated
+# man pages. In case the manual section does not start with a number, the number
+# 3 is prepended. The dot (.) at the beginning of the MAN_EXTENSION tag is
+# optional.
+# The default value is: .3.
+# This tag requires that the tag GENERATE_MAN is set to YES.
+
+MAN_EXTENSION = .3
+
+# The MAN_SUBDIR tag determines the name of the directory created within
+# MAN_OUTPUT in which the man pages are placed. If defaults to man followed by
+# MAN_EXTENSION with the initial . removed.
+# This tag requires that the tag GENERATE_MAN is set to YES.
+
+MAN_SUBDIR =
+
+# If the MAN_LINKS tag is set to YES and doxygen generates man output, then it
+# will generate one additional man file for each entity documented in the real
+# man page(s). These additional files only source the real man page, but without
+# them the man command would be unable to find the correct page.
+# The default value is: NO.
+# This tag requires that the tag GENERATE_MAN is set to YES.
+
+MAN_LINKS = NO
+
+#---------------------------------------------------------------------------
+# Configuration options related to the XML output
+#---------------------------------------------------------------------------
+
+# If the GENERATE_XML tag is set to YES, doxygen will generate an XML file that
+# captures the structure of the code including all documentation.
+# The default value is: NO.
+
+GENERATE_XML = NO
+
+# The XML_OUTPUT tag is used to specify where the XML pages will be put. If a
+# relative path is entered the value of OUTPUT_DIRECTORY will be put in front of
+# it.
+# The default directory is: xml.
+# This tag requires that the tag GENERATE_XML is set to YES.
+
+XML_OUTPUT = xml
+
+# If the XML_PROGRAMLISTING tag is set to YES, doxygen will dump the program
+# listings (including syntax highlighting and cross-referencing information) to
+# the XML output. Note that enabling this will significantly increase the size
+# of the XML output.
+# The default value is: YES.
+# This tag requires that the tag GENERATE_XML is set to YES.
+
+XML_PROGRAMLISTING = YES
+
+# If the XML_NS_MEMB_FILE_SCOPE tag is set to YES, doxygen will include
+# namespace members in file scope as well, matching the HTML output.
+# The default value is: NO.
+# This tag requires that the tag GENERATE_XML is set to YES.
+
+XML_NS_MEMB_FILE_SCOPE = NO
+
+#---------------------------------------------------------------------------
+# Configuration options related to the DOCBOOK output
+#---------------------------------------------------------------------------
+
+# If the GENERATE_DOCBOOK tag is set to YES, doxygen will generate Docbook files
+# that can be used to generate PDF.
+# The default value is: NO.
+
+GENERATE_DOCBOOK = NO
+
+# The DOCBOOK_OUTPUT tag is used to specify where the Docbook pages will be put.
+# If a relative path is entered the value of OUTPUT_DIRECTORY will be put in
+# front of it.
+# The default directory is: docbook.
+# This tag requires that the tag GENERATE_DOCBOOK is set to YES.
+
+DOCBOOK_OUTPUT = docbook
+
+# If the DOCBOOK_PROGRAMLISTING tag is set to YES, doxygen will include the
+# program listings (including syntax highlighting and cross-referencing
+# information) to the DOCBOOK output. Note that enabling this will significantly
+# increase the size of the DOCBOOK output.
+# The default value is: NO.
+# This tag requires that the tag GENERATE_DOCBOOK is set to YES.
+
+DOCBOOK_PROGRAMLISTING = NO
+
+#---------------------------------------------------------------------------
+# Configuration options for the AutoGen Definitions output
+#---------------------------------------------------------------------------
+
+# If the GENERATE_AUTOGEN_DEF tag is set to YES, doxygen will generate an
+# AutoGen Definitions (see http://autogen.sourceforge.net/) file that captures
+# the structure of the code including all documentation. Note that this feature
+# is still experimental and incomplete at the moment.
+# The default value is: NO.
+
+GENERATE_AUTOGEN_DEF = NO
+
+#---------------------------------------------------------------------------
+# Configuration options related to the Perl module output
+#---------------------------------------------------------------------------
+
+# If the GENERATE_PERLMOD tag is set to YES, doxygen will generate a Perl module
+# file that captures the structure of the code including all documentation.
+#
+# Note that this feature is still experimental and incomplete at the moment.
+# The default value is: NO.
+
+GENERATE_PERLMOD = NO
+
+# If the PERLMOD_LATEX tag is set to YES, doxygen will generate the necessary
+# Makefile rules, Perl scripts and LaTeX code to be able to generate PDF and DVI
+# output from the Perl module output.
+# The default value is: NO.
+# This tag requires that the tag GENERATE_PERLMOD is set to YES.
+
+PERLMOD_LATEX = NO
+
+# If the PERLMOD_PRETTY tag is set to YES, the Perl module output will be nicely
+# formatted so it can be parsed by a human reader. This is useful if you want to
+# understand what is going on. On the other hand, if this tag is set to NO, the
+# size of the Perl module output will be much smaller and Perl will parse it
+# just the same.
+# The default value is: YES.
+# This tag requires that the tag GENERATE_PERLMOD is set to YES.
+
+PERLMOD_PRETTY = YES
+
+# The names of the make variables in the generated doxyrules.make file are
+# prefixed with the string contained in PERLMOD_MAKEVAR_PREFIX. This is useful
+# so different doxyrules.make files included by the same Makefile don't
+# overwrite each other's variables.
+# This tag requires that the tag GENERATE_PERLMOD is set to YES.
+
+PERLMOD_MAKEVAR_PREFIX =
+
+#---------------------------------------------------------------------------
+# Configuration options related to the preprocessor
+#---------------------------------------------------------------------------
+
+# If the ENABLE_PREPROCESSING tag is set to YES, doxygen will evaluate all
+# C-preprocessor directives found in the sources and include files.
+# The default value is: YES.
+
+ENABLE_PREPROCESSING = YES
+
+# If the MACRO_EXPANSION tag is set to YES, doxygen will expand all macro names
+# in the source code. If set to NO, only conditional compilation will be
+# performed. Macro expansion can be done in a controlled way by setting
+# EXPAND_ONLY_PREDEF to YES.
+# The default value is: NO.
+# This tag requires that the tag ENABLE_PREPROCESSING is set to YES.
+
+MACRO_EXPANSION = NO
+
+# If the EXPAND_ONLY_PREDEF and MACRO_EXPANSION tags are both set to YES then
+# the macro expansion is limited to the macros specified with the PREDEFINED and
+# EXPAND_AS_DEFINED tags.
+# The default value is: NO.
+# This tag requires that the tag ENABLE_PREPROCESSING is set to YES.
+
+EXPAND_ONLY_PREDEF = NO
+
+# If the SEARCH_INCLUDES tag is set to YES, the include files in the
+# INCLUDE_PATH will be searched if a #include is found.
+# The default value is: YES.
+# This tag requires that the tag ENABLE_PREPROCESSING is set to YES.
+
+SEARCH_INCLUDES = YES
+
+# The INCLUDE_PATH tag can be used to specify one or more directories that
+# contain include files that are not input files but should be processed by the
+# preprocessor.
+# This tag requires that the tag SEARCH_INCLUDES is set to YES.
+
+INCLUDE_PATH =
+
+# You can use the INCLUDE_FILE_PATTERNS tag to specify one or more wildcard
+# patterns (like *.h and *.hpp) to filter out the header-files in the
+# directories. If left blank, the patterns specified with FILE_PATTERNS will be
+# used.
+# This tag requires that the tag ENABLE_PREPROCESSING is set to YES.
+
+INCLUDE_FILE_PATTERNS =
+
+# The PREDEFINED tag can be used to specify one or more macro names that are
+# defined before the preprocessor is started (similar to the -D option of e.g.
+# gcc). The argument of the tag is a list of macros of the form: name or
+# name=definition (no spaces). If the definition and the "=" are omitted, "=1"
+# is assumed. To prevent a macro definition from being undefined via #undef or
+# recursively expanded use the := operator instead of the = operator.
+# This tag requires that the tag ENABLE_PREPROCESSING is set to YES.
+
+PREDEFINED =
+
+# If the MACRO_EXPANSION and EXPAND_ONLY_PREDEF tags are set to YES then this
+# tag can be used to specify a list of macro names that should be expanded. The
+# macro definition that is found in the sources will be used. Use the PREDEFINED
+# tag if you want to use a different macro definition that overrules the
+# definition found in the source code.
+# This tag requires that the tag ENABLE_PREPROCESSING is set to YES.
+
+EXPAND_AS_DEFINED =
+
+# If the SKIP_FUNCTION_MACROS tag is set to YES then doxygen's preprocessor will
+# remove all references to function-like macros that are alone on a line, have
+# an all uppercase name, and do not end with a semicolon. Such function macros
+# are typically used for boiler-plate code, and will confuse the parser if not
+# removed.
+# The default value is: YES.
+# This tag requires that the tag ENABLE_PREPROCESSING is set to YES.
+
+SKIP_FUNCTION_MACROS = YES
+
+#---------------------------------------------------------------------------
+# Configuration options related to external references
+#---------------------------------------------------------------------------
+
+# The TAGFILES tag can be used to specify one or more tag files. For each tag
+# file the location of the external documentation should be added. The format of
+# a tag file without this location is as follows:
+# TAGFILES = file1 file2 ...
+# Adding location for the tag files is done as follows:
+# TAGFILES = file1=loc1 "file2 = loc2" ...
+# where loc1 and loc2 can be relative or absolute paths or URLs. See the
+# section "Linking to external documentation" for more information about the use
+# of tag files.
+# Note: Each tag file must have a unique name (where the name does NOT include
+# the path). If a tag file is not located in the directory in which doxygen is
+# run, you must also specify the path to the tagfile here.
+
+TAGFILES =
+
+# When a file name is specified after GENERATE_TAGFILE, doxygen will create a
+# tag file that is based on the input files it reads. See section "Linking to
+# external documentation" for more information about the usage of tag files.
+
+GENERATE_TAGFILE =
+
+# If the ALLEXTERNALS tag is set to YES, all external class will be listed in
+# the class index. If set to NO, only the inherited external classes will be
+# listed.
+# The default value is: NO.
+
+ALLEXTERNALS = NO
+
+# If the EXTERNAL_GROUPS tag is set to YES, all external groups will be listed
+# in the modules index. If set to NO, only the current project's groups will be
+# listed.
+# The default value is: YES.
+
+EXTERNAL_GROUPS = YES
+
+# If the EXTERNAL_PAGES tag is set to YES, all external pages will be listed in
+# the related pages index. If set to NO, only the current project's pages will
+# be listed.
+# The default value is: YES.
+
+EXTERNAL_PAGES = YES
+
+#---------------------------------------------------------------------------
+# Configuration options related to the dot tool
+#---------------------------------------------------------------------------
+
+# If the CLASS_DIAGRAMS tag is set to YES, doxygen will generate a class diagram
+# (in HTML and LaTeX) for classes with base or super classes. Setting the tag to
+# NO turns the diagrams off. Note that this option also works with HAVE_DOT
+# disabled, but it is recommended to install and use dot, since it yields more
+# powerful graphs.
+# The default value is: YES.
+
+CLASS_DIAGRAMS = NO
+
+# You can include diagrams made with dia in doxygen documentation. Doxygen will
+# then run dia to produce the diagram and insert it in the documentation. The
+# DIA_PATH tag allows you to specify the directory where the dia binary resides.
+# If left empty dia is assumed to be found in the default search path.
+
+DIA_PATH =
+
+# If set to YES the inheritance and collaboration graphs will hide inheritance
+# and usage relations if the target is undocumented or is not a class.
+# The default value is: YES.
+
+HIDE_UNDOC_RELATIONS = YES
+
+# If you set the HAVE_DOT tag to YES then doxygen will assume the dot tool is
+# available from the path. This tool is part of Graphviz (see:
+# http://www.graphviz.org/), a graph visualization toolkit from AT&T and Lucent
+# Bell Labs. The other options in this section have no effect if this option is
+# set to NO
+# The default value is: NO.
+
+HAVE_DOT = NO
+
+# The DOT_NUM_THREADS specifies the number of dot invocations doxygen is allowed
+# to run in parallel. When set to 0 doxygen will base this on the number of
+# processors available in the system. You can set it explicitly to a value
+# larger than 0 to get control over the balance between CPU load and processing
+# speed.
+# Minimum value: 0, maximum value: 32, default value: 0.
+# This tag requires that the tag HAVE_DOT is set to YES.
+
+DOT_NUM_THREADS = 0
+
+# When you want a differently looking font in the dot files that doxygen
+# generates you can specify the font name using DOT_FONTNAME. You need to make
+# sure dot is able to find the font, which can be done by putting it in a
+# standard location or by setting the DOTFONTPATH environment variable or by
+# setting DOT_FONTPATH to the directory containing the font.
+# The default value is: Helvetica.
+# This tag requires that the tag HAVE_DOT is set to YES.
+
+DOT_FONTNAME = Helvetica
+
+# The DOT_FONTSIZE tag can be used to set the size (in points) of the font of
+# dot graphs.
+# Minimum value: 4, maximum value: 24, default value: 10.
+# This tag requires that the tag HAVE_DOT is set to YES.
+
+DOT_FONTSIZE = 10
+
+# By default doxygen will tell dot to use the default font as specified with
+# DOT_FONTNAME. If you specify a different font using DOT_FONTNAME you can set
+# the path where dot can find it using this tag.
+# This tag requires that the tag HAVE_DOT is set to YES.
+
+DOT_FONTPATH =
+
+# If the CLASS_GRAPH tag is set to YES then doxygen will generate a graph for
+# each documented class showing the direct and indirect inheritance relations.
+# Setting this tag to YES will force the CLASS_DIAGRAMS tag to NO.
+# The default value is: YES.
+# This tag requires that the tag HAVE_DOT is set to YES.
+
+CLASS_GRAPH = YES
+
+# If the COLLABORATION_GRAPH tag is set to YES then doxygen will generate a
+# graph for each documented class showing the direct and indirect implementation
+# dependencies (inheritance, containment, and class references variables) of the
+# class with other documented classes.
+# The default value is: YES.
+# This tag requires that the tag HAVE_DOT is set to YES.
+
+COLLABORATION_GRAPH = YES
+
+# If the GROUP_GRAPHS tag is set to YES then doxygen will generate a graph for
+# groups, showing the direct groups dependencies.
+# The default value is: YES.
+# This tag requires that the tag HAVE_DOT is set to YES.
+
+GROUP_GRAPHS = YES
+
+# If the UML_LOOK tag is set to YES, doxygen will generate inheritance and
+# collaboration diagrams in a style similar to the OMG's Unified Modeling
+# Language.
+# The default value is: NO.
+# This tag requires that the tag HAVE_DOT is set to YES.
+
+UML_LOOK = NO
+
+# If the UML_LOOK tag is enabled, the fields and methods are shown inside the
+# class node. If there are many fields or methods and many nodes the graph may
+# become too big to be useful. The UML_LIMIT_NUM_FIELDS threshold limits the
+# number of items for each type to make the size more manageable. Set this to 0
+# for no limit. Note that the threshold may be exceeded by 50% before the limit
+# is enforced. So when you set the threshold to 10, up to 15 fields may appear,
+# but if the number exceeds 15, the total amount of fields shown is limited to
+# 10.
+# Minimum value: 0, maximum value: 100, default value: 10.
+# This tag requires that the tag HAVE_DOT is set to YES.
+
+UML_LIMIT_NUM_FIELDS = 10
+
+# If the TEMPLATE_RELATIONS tag is set to YES then the inheritance and
+# collaboration graphs will show the relations between templates and their
+# instances.
+# The default value is: NO.
+# This tag requires that the tag HAVE_DOT is set to YES.
+
+TEMPLATE_RELATIONS = NO
+
+# If the INCLUDE_GRAPH, ENABLE_PREPROCESSING and SEARCH_INCLUDES tags are set to
+# YES then doxygen will generate a graph for each documented file showing the
+# direct and indirect include dependencies of the file with other documented
+# files.
+# The default value is: YES.
+# This tag requires that the tag HAVE_DOT is set to YES.
+
+INCLUDE_GRAPH = YES
+
+# If the INCLUDED_BY_GRAPH, ENABLE_PREPROCESSING and SEARCH_INCLUDES tags are
+# set to YES then doxygen will generate a graph for each documented file showing
+# the direct and indirect include dependencies of the file with other documented
+# files.
+# The default value is: YES.
+# This tag requires that the tag HAVE_DOT is set to YES.
+
+INCLUDED_BY_GRAPH = YES
+
+# If the CALL_GRAPH tag is set to YES then doxygen will generate a call
+# dependency graph for every global function or class method.
+#
+# Note that enabling this option will significantly increase the time of a run.
+# So in most cases it will be better to enable call graphs for selected
+# functions only using the \callgraph command. Disabling a call graph can be
+# accomplished by means of the command \hidecallgraph.
+# The default value is: NO.
+# This tag requires that the tag HAVE_DOT is set to YES.
+
+CALL_GRAPH = NO
+
+# If the CALLER_GRAPH tag is set to YES then doxygen will generate a caller
+# dependency graph for every global function or class method.
+#
+# Note that enabling this option will significantly increase the time of a run.
+# So in most cases it will be better to enable caller graphs for selected
+# functions only using the \callergraph command. Disabling a caller graph can be
+# accomplished by means of the command \hidecallergraph.
+# The default value is: NO.
+# This tag requires that the tag HAVE_DOT is set to YES.
+
+CALLER_GRAPH = NO
+
+# If the GRAPHICAL_HIERARCHY tag is set to YES then doxygen will graphical
+# hierarchy of all classes instead of a textual one.
+# The default value is: YES.
+# This tag requires that the tag HAVE_DOT is set to YES.
+
+GRAPHICAL_HIERARCHY = YES
+
+# If the DIRECTORY_GRAPH tag is set to YES then doxygen will show the
+# dependencies a directory has on other directories in a graphical way. The
+# dependency relations are determined by the #include relations between the
+# files in the directories.
+# The default value is: YES.
+# This tag requires that the tag HAVE_DOT is set to YES.
+
+DIRECTORY_GRAPH = YES
+
+# The DOT_IMAGE_FORMAT tag can be used to set the image format of the images
+# generated by dot. For an explanation of the image formats see the section
+# output formats in the documentation of the dot tool (Graphviz (see:
+# http://www.graphviz.org/)).
+# Note: If you choose svg you need to set HTML_FILE_EXTENSION to xhtml in order
+# to make the SVG files visible in IE 9+ (other browsers do not have this
+# requirement).
+# Possible values are: png, jpg, gif, svg, png:gd, png:gd:gd, png:cairo,
+# png:cairo:gd, png:cairo:cairo, png:cairo:gdiplus, png:gdiplus and
+# png:gdiplus:gdiplus.
+# The default value is: png.
+# This tag requires that the tag HAVE_DOT is set to YES.
+
+DOT_IMAGE_FORMAT = png
+
+# If DOT_IMAGE_FORMAT is set to svg, then this option can be set to YES to
+# enable generation of interactive SVG images that allow zooming and panning.
+#
+# Note that this requires a modern browser other than Internet Explorer. Tested
+# and working are Firefox, Chrome, Safari, and Opera.
+# Note: For IE 9+ you need to set HTML_FILE_EXTENSION to xhtml in order to make
+# the SVG files visible. Older versions of IE do not have SVG support.
+# The default value is: NO.
+# This tag requires that the tag HAVE_DOT is set to YES.
+
+INTERACTIVE_SVG = NO
+
+# The DOT_PATH tag can be used to specify the path where the dot tool can be
+# found. If left blank, it is assumed the dot tool can be found in the path.
+# This tag requires that the tag HAVE_DOT is set to YES.
+
+DOT_PATH =
+
+# The DOTFILE_DIRS tag can be used to specify one or more directories that
+# contain dot files that are included in the documentation (see the \dotfile
+# command).
+# This tag requires that the tag HAVE_DOT is set to YES.
+
+DOTFILE_DIRS =
+
+# The MSCFILE_DIRS tag can be used to specify one or more directories that
+# contain msc files that are included in the documentation (see the \mscfile
+# command).
+
+MSCFILE_DIRS =
+
+# The DIAFILE_DIRS tag can be used to specify one or more directories that
+# contain dia files that are included in the documentation (see the \diafile
+# command).
+
+DIAFILE_DIRS =
+
+# When using plantuml, the PLANTUML_JAR_PATH tag should be used to specify the
+# path where java can find the plantuml.jar file. If left blank, it is assumed
+# PlantUML is not used or called during a preprocessing step. Doxygen will
+# generate a warning when it encounters a \startuml command in this case and
+# will not generate output for the diagram.
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diff --git a/doc/doxygen/src/creating-an-application.md b/doc/doxygen/src/creating-an-application.md
new file mode 100644
index 0000000000000000000000000000000000000000..0980343e43fed2d585f3768783b6880ee8888ae6
--- /dev/null
+++ b/doc/doxygen/src/creating-an-application.md
@@ -0,0 +1,113 @@
+Creating an application {#creating-an-application}
+=======================
+\author Zakaria Kasmi
+
+[TOC]
+
+An application can be created for full-fledged or resource-limited devices.
+
+Creating an application for full-fledged devices {#creating-an-application-full-fledge}
+================================================
+We recommend to use the [Eclipse IDE] (https://www.eclipse.org/) for C/C++ Developers for creating
+own application. The simplest way to write your own application, is to put your *.c and *.h files under the
+`src` directory. Another way is to create a directory containing the multiple C file(s) with your
+source code. The header files can be imported in the Eclipse IDE by opening Project->Properties and
+selecting ''C/C++ General->Paths and Symbols->Languages->GNU C'' from the Selection Wizard. Click the ''Add..''
+button to browse to the header-directory and the select the ''Apply'' and ''OK'' buttons. The users can be
+oriented to the main.c and the examples under the src-directory.
+
+
+Creating an application for resource-limited devices {#creating-an-application-res-lim}
+====================================================
+To create your own application for a resource limited device you need to create a directory
+containing one or multiple C file(s) with your source code and a Makefile. An example Makefile is
+available in the `src` folder of the [RcdMathLib repository]
+(https://git.imp.fu-berlin.de/zkasmi/my_lib_full_fledged_devices/tree/master/RcdMathLib_app).
+
+The main function {#the-main-function}
+=================
+RIOT starts two threads the idle and main threads after the board is initialized.
+The idle thread has the lowest priority while the main thread has a priority that
+is in the middle between the lowest and the highest available priorities. The main
+thread is the first that runs and calls the `main()` function.
+This function needs to be defined in the source code of each application
+(typically located in the `main.c` file).
+
+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~{.c}
+#include <stdio.h>
+
+#include "matrix_test.h"
+#include "vector_test.h"
+
+int main(void)
+{
+ puts("RcdMathLib Application!");
+ // Test the basic operations module;
+ matrix_test();
+ vector_test();
+
+ return EXIT_SUCCESS;
+}
+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+
+The above C code shows an application testing the basic operations sub-modules.
+This application run operations of the vector and matrix sub-modules.
+
+The application's Makefile {#the-applications-makefile}
+==========================
+The minimal Makefile {#the-minimal-makefile}
+--------------------
+At minimum the Makefile of an application (see @ref getting-started) needs to
+define the following macros:
+ * `APPLICATION`: contains the name of your application
+ * `RIOTBASE`: specifies the path to your copy of the RIOT repository (note,
+ the `$(CURDIR)` macro can be used to give a relative path)
+ * `RCDMATHLIB`: specifies the path to the copy of the RcdMathLib repository (note,
+ the `$(CURDIR)` macro can be used to give a relative path)
+ * `USEMODULE`: specifies the module of the RcdMathLib that you may want to use
+
+The `BOARD` macro is also required and recommended to be set to `native` by
+default, but is recommended to be overridable with the `?=` operator.
+Additionally, it is required to include the `Makefile.include` from the RcdMathLib and from the
+`RIOTBASE`.
+
+~~~~~~~~~~~~~~~~~~~~~~~~~~~ {.mk}
+# Set the name of your application:
+APPLICATION = foobar
+
+# If no BOARD is found in the environment, use this default:
+BOARD ?= native
+
+# This has to be the absolute path to the RcdMathLib base directory:
+RCDMATHLIB ?= $(CURDIR)/../RcdMathLib
+
+# This has to be the absolute path to the RIOT base directory:
+RIOTBASE ?= $(CURDIR)/../../RIOT
+
+
+include $(RCDMATHLIB)/Makefile.include
+include $(RIOTBASE)/Makefile.include
+~~~~~~~~~~~~~~~~~~~~~~~~~~~
+
+Including modules {#including-modules}
+-----------------
+The modules of the RcdMathLib as well as of the RcdMathLib can be included.
+In order to use additional modules, such as a particular driver or a system library, the modules'
+names must be appended to the USEMODULE variable. For example, to build an application using the SHT11
+temperature sensor and UDP/IPv6 functionalities, the Makefile needs to contain the following lines:
+
+~~~~~~~~~~~~~~~~~~~~~~~~~~~ {.mk}
+USEMODULE += sht11
+USEMODULE += gnrc_ipv6_default
+USEMODULE += gnrc_udp
+~~~~~~~~~~~~~~~~~~~~~~~~~~~
+
+For example, to create an application using the matrix decompositions, the pseudo-inverse, and solving
+linear equations sub-modules, the Makefile must comprise the following lines:
+
+~~~~~~~~~~~~~~~~~~~~~~~~~~~ {.mk}
+USEMODULE += matrix_decompositions
+USEMODULE += pseudo_inverse
+USEMODULE += utilities
+~~~~~~~~~~~~~~~~~~~~~~~~~~~
+
diff --git a/doc/doxygen/src/creating-modules.md b/doc/doxygen/src/creating-modules.md
new file mode 100644
index 0000000000000000000000000000000000000000..42510a8dbc681c7a603f757cdb0b4174347d647f
--- /dev/null
+++ b/doc/doxygen/src/creating-modules.md
@@ -0,0 +1,64 @@
+Creating modules {#creating-modules}
+================
+
+\author Zakaria Kasmi
+
+[TOC]
+
+Well-defined units of code in the RcdMathLib that provide a set of features are encapsulated in a
+module. RcdMathLib is module-based and composed of the following main modules:
+
+* Linear algebra module
+* Non-Linear algebra module
+* Localization module
+
+Each main module includes sub-modules, for more details see
+@ref structure "The structure of the RcdMathLib".
+
+@note The following chapters concerning only resource-limited devices.
+
+The general structure {#the-general-structure}
+=====================
+Modules are directories containing source and header files as well as a Makefile.
+Furthermore, their API can be defined in one or more header files, residing in the include path of
+their super-module.
+
+For example, the matrix sub-module is implemented in the @ref basic_operations sub-module, in the
+`linear_algebra/basic_operations` directory. Its API is defined in
+`linear_algebra/basic_operations/matrix.h`.
+
+A module's Makefile just needs to include `Makefile.base` in the RIOT repository as well as
+`Makefile.base` and `Makefile.include` in the RcdMathLib repository:
+
+~~~~~~~~~~~~~~~~~~~ {.mk}
+include $(RIOTBASE)/Makefile.base
+include $(RCDMATHLIB)/linear_algebra/matrix_decompositions/Makefile.include
+include $(RCDMATHLIB)/linear_algebra/matrix_decompositions/Makefile.dep
+~~~~~~~~~~~~~~~~~~~
+
+The `Makefile.base` and `Makefile.include` macros in the example above are includes for
+the linear algebra module.
+
+If your module's name differs from the name of the directory it resides in you
+need to set the `MODULE` macro in addition.
+
+The `Makefile.dep` serves to define dependencies and the `Makefile.include` to append target
+specific information to variables like INCLUDES. Modules can be used by adding their name to the
+`USEMODULE` macro of the application's Makefile.
+
+
+Module dependencies
+===================
+The module may depend on other modules to minimize code duplication. These
+dependencies are defined in `Makefile.dep` with the following syntax:
+
+~~~~~~~~~~~~~~~~~~~ {.mk}
+ifneq (,$(filter your_module,$(USEMODULE))) # if module in USEMODULE
+ USEMODULE += dep1 # add dependencies to USEMODULE
+ USEMODULE += dep2
+endif
+~~~~~~~~~~~~~~~~~~~
+
+@note `Makefile.dep` is processed only once therefore, the dependency block for a module must be
+added *before* dependencies pull in their dependencies.
+
diff --git a/doc/doxygen/src/figures/soft_architecture_01_09_2019.pdf b/doc/doxygen/src/figures/soft_architecture_01_09_2019.pdf
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diff --git a/doc/doxygen/src/getting-started.md b/doc/doxygen/src/getting-started.md
new file mode 100644
index 0000000000000000000000000000000000000000..80e5a3d63eb89db6c00674763e6f8926952f0aa3
--- /dev/null
+++ b/doc/doxygen/src/getting-started.md
@@ -0,0 +1,224 @@
+Getting started {#getting-started}
+===============
+
+\author Zakaria Kasmi
+
+[TOC]
+
+Downloading RcdMathLib code {#downloading-RcdMathLib-code}
+===========================
+You can obtain the latest RcdMathLib code from
+our [Github](https://github.com/RIOT-OS/) repository either by
+[downloading the latest tarball](https://github.com/RIOT-OS/RIOT/releases) or
+by cloning the [git repository](https://github.com/RIOT-OS/RIOT).
+
+In order to clone the RIOT repository, you need the
+[Git revision control system](http://git-scm.com/) and run the following
+command:
+
+~~~~~~~~ {.sh}
+git clone git://github.com/RIOT-OS/RIOT.git
+~~~~~~~~
+
+Compiling RcdMathLib {#compiling-RcdMathLib}
+====================
+
+Setting up a toolchain for full-fledged devices {#setting-up-a-toolchain-full-fledge}
+-----------------------------------------------
+RcdMathLib can be run on full-fledged devices such as a Personal Computer
+(PC) or a server. It can also be executed on the embedded system Raspberry Pi
+running an Operating System (OS) such as the Raspbian or the Ubuntu Core. For
+platforms based on full-fledged OSs like the Linux or Windows, we recommend
+the GNU Compiler Collection (GCC). We also recommend the use of the Eclipse (IDE).
+
+The PATH environment variable should be set with bin-directory of the GCC compiler.
+On a typical shell like bash or zsh this can be done using export, e.g.
+
+<BLOCKQUOTE>
+export PATH=${PATH}:/path/to/gcc/bin
+</BLOCKQUOTE>
+
+For windows, add the bin-directory to your PATH under System Properties->Advanced->
+Environment Variables, e.g.
+
+<BLOCKQUOTE>
+"C:\gcc\bin"
+</BLOCKQUOTE>
+
+Setting up a toolchain for resource-limited devices {#setting-up-a-toolchain-res-lim}
+-------------------------------------------------------
+Depending on the hardware you want to use, you need to first install a
+corresponding toolchain. We recommend the use of the [RIOT-OS] (https://riot-os.org/), since
+it supports 8-bit platforms (e.g. Arduino Mega 2560), 16-bit platforms (e.g. MSP430), and 32-bit
+platforms (e.g. ARM). The RIOT-OS is an open source IoT operating system developed at the
+ ''Freie Universität Berlin''. In general, an OS allows the management and sharing of resources
+as well as the development of multi-tasking applications in a computer system. The Wiki on RIOT's
+ Github page contains a lot of information that can help you with your platform:
+
+* [ARM-based platforms](https://github.com/RIOT-OS/RIOT/wiki/Family:-ARM)
+* [TI MSP430](https://github.com/RIOT-OS/RIOT/wiki/Family:-MSP430)
+* [Atmel ATmega](https://github.com/RIOT-OS/RIOT/wiki/Family%3A-ATmega)
+* [native](https://github.com/RIOT-OS/RIOT/wiki/Family:-native)
+
+The build system for full-fledged devices {#the-build-system-full-fledge}
+-----------------------------------------
+RcdMathLib can be built using the [Eclipse IDE] (https://www.eclipse.org/) for C/C++ Developers.
+The simplest way to compile and link an application with the RcdMathLib is: Firstly, to download [RcdMathLib_eclipse_version.zip](https://git.imp.fu-berlin.de/zkasmi/test_my_lib/blob/master/RcdMathLib_eclipse_version.zip) file or to clone it:
+
+~~~~~~~~ {.sh}
+git clone git@git.imp.fu-berlin.de:zkasmi/test_my_lib.git
+~~~~~~~~
+
+After cloning or downloading the RcdMathLib, the Eclipse version of the RcdMathLib can be used as follows:
+-# Create a workspace folder (e.g. rcd_math_lib_workspace).
+-# Start the Eclipse IDE and browse to the created workspace folder.
+-# Open File->Import->General.
+-# Select ''Existing Project into Workspace'' from the Selection Wizard.
+-# Select Next->''archive file''-->Browse.
+-# After Browsing to the [RcdMathLib_eclipse_version.zip]
+ (https://git.imp.fu-berlin.de/zkasmi/test_my_lib/blob/master/RcdMathLib_eclipse_version.zip) file, click on Finish.
+-# Compile the whole project.
+
+Another method to use the RcdMathLib in the Eclipse IDE is:
+-# Clone the whole RcdMathLib version for full-fledged devices:
+ ~~~~~~~~ {.sh}
+ git clone git@git.imp.fu-berlin.de:zkasmi/my_lib_full_fledged_devices.git
+ ~~~~~~~~
+-# Create a new C project by choosing the project type under Executable: `Hello World ANSI C Project`,
+ as well as the `Cross GCC` Tool-chains.
+-# Try to compile and execute the `Hello World ANSI C Project`.
+-# Copy the RcdMathLib- and the examples-directories, as well as the 'eclipse_path_includes_settings.xml'
+ configuration file into the src-directory of your project.
+-# Import the 'eclipse_path_includes_settings.xml' file as follows:
+
+ <BLOCKQUOTE>
+ * Open File -> Import -> C/C++ and Select ''C/C++ Project Settings'' from the Selection Wizard.
+ * Click Next->''Select Settings file''-->Browse.
+ * After Browsing to the xml-configuration file, click on Finish.
+ </BLOCKQUOTE>
+-# Compile the whole project.
+-# Optional: replace the main()-function with the main.c file of the cloned RcdMathLib version for full-fledged devices.
+
+Third method (intern):
+Set up the [Eclipse IDE] (https://www.eclipse.org/) as follows:
+-# Create a new C project, choose the project type under Executable: `Hello World ANSI C Project`,
+ as well as the `Cross GCC` Tool-chains.
+-# Try to compile and execute the `Hello World ANSI C Project`.
+-# Copy the RcdMathLib-directory into the src-directory.
+-# Replace the file containing the main()-function with the main.c file of the RcdMathLib.
+-# Setting the include-paths of the modules in the Eclipse IDE: Properties/Paths and Symbols/GNU C
+
+
+The build system for resource-limited devices {#the-build-system-res-lim}
+---------------------------------------------
+RcdMathLib and RIOT use [GNU make](https://www.gnu.org/software/make/) as build system. The
+simplest way to compile and link an application with RcdMathLib, is to set up a
+Makefile providing at least the following variables:
+
+ * `APPLICATION`: should contain the (unique) name of your application
+ * `BOARD`: specifies the platform the application should be build for by
+ default
+ * `RIOTBASE`: specifies the path to the copy of the RIOT repository (note,
+ the `$(CURDIR)` macro can be used to give a relative path)
+ * `RCDMATHLIB`: specifies the path to the copy of the RcdMathLib repository (note,
+ the `$(CURDIR)` macro can be used to give a relative path)
+ * `USEMODULE`: specifies the module of the RcdMathLib that you may want to use
+
+Additionally it has to include the `Makefile.include`, located in RcdMathLib's as well as RIOT's
+root directories. A minimal application Makefile looks like this:
+
+~~~~~~~~ {.mk}
+# a minimal application Makefile
+APPLICATION = mini-makefile
+BOARD ?= native
+RIOTBASE ?= $(CURDIR)/../RIOT
+RCDMATHLIB ?= $(CURDIR)/../RcdMathLib
+USEMODULE += basic_operations
+
+include $(RIOTBASE)/MicroPosMath-Lib/Makefile.include
+include $(RIOTBASE)/Makefile.include
+~~~~~~~~
+
+The `?=` operator can be used in order to allow overwriting variables from the command line.
+For example, the target platform can be specified from the command line as follows:
+
+
+~~~~~~~~ {.sh}
+make BOARD=stm32f4discovery
+~~~~~~~~
+
+In this case the STM32F4 discovery board is specified. Furthermore, the basic operations sub-module is
+selected by the `USEMODULE` macro.
+
+Other sub-modules such as the matrix decompositions or utilities modules can be selected, e.g.:
+
+~~~~~~~~ {.mk}
+USEMODULE += matrix_decompositions
+USEMODULE += utilities
+~~~~~~~~
+The dependency of the RcdMathLib modules and sub-modules to each other is automatically calculated
+by special Makefiles located in the module directories.
+
+Besides typical targets like `clean`, `all`, or `doc`, RIOT provides the
+special targets `flash` and `term` to invoke the configured flashing and
+terminal tools for the specified platform. These targets use the variable
+`PORT` for the serial communication to the device. Neither this variable nor
+the targets `flash` and `term` are mandatory for the native port.
+
+Unless specified otherwise, make will create an elf-file as well as an Intel
+hex file in the `bin` folder of your application directory.
+
+Please visit the [Wiki](https://github.com/RIOT-OS/RIOT/wiki/The-Make-Build-System) to learn more
+about the build system of the RIOT.
+
+
+Building and executing an example for resource-limited devices {#building-and-executing-an-example-res-lim}
+--------------------------------------------------------------
+RcdMathLib provides a number of examples in the `examples/` directory. Every example
+has a README that documents its usage and its purpose. Furthermore the examples are described in the
+doc-directory. You can build your own application or the examples by typing
+
+~~~~~~~~ {.sh}
+make BOARD=stm32f4discovery
+~~~~~~~~
+
+or
+
+~~~~~~~~ {.sh}
+make all BOARD=stm32f4discovery
+~~~~~~~~
+
+into your shell.
+
+To flash the application to a board just type
+
+~~~~~~~~ {.sh}
+make flash BOARD=stm32f4discovery
+~~~~~~~~
+
+You can then access the board via the serial interface:
+
+~~~~~~~~ {.sh}
+make term BOARD=stm32f4discovery
+~~~~~~~~
+
+If you are using multiple boards you can use the `PORT` macro to specify the
+serial interface:
+
+~~~~~~~~ {.sh}
+make term BOARD=stm32f4discovery PORT=/dev/ttyACM1
+~~~~~~~~
+
+We use `pyterm` as the default terminal application. It is shipped with RIOT in
+the `dist/tools/pyterm/` directory. If you choose to use another terminal
+program you can set `TERMPROG` (and if need be the `TERMFLAGS`) macros:
+
+~~~~~~~~ {.sh}
+make -C examples/gnrc_networking/ term \
+ BOARD=samr21-xpro \
+ TERMPROG=gtkterm \
+ TERMFLAGS="-s 115200 -p /dev/ttyACM0 -e"
+~~~~~~~~
+
+Please visit the [Wiki](https://github.com/RIOT-OS/RIOT/wiki) to learn more
+about flashing devices.
\ No newline at end of file
diff --git a/doc/doxygen/src/mainpage.md b/doc/doxygen/src/mainpage.md
new file mode 100644
index 0000000000000000000000000000000000000000..8a5afbd1f35e4d9ea6953b13f0169e9a5c846df1
--- /dev/null
+++ b/doc/doxygen/src/mainpage.md
@@ -0,0 +1,155 @@
+RcdMathLib Documentation {#mainpage}
+========================
+\author Zakaria Kasmi
+
+[TOC]
+
+RcdMathLib in a nutshell {#RcdMathLib-in-a-nutshell}
+========================
+RcdMathLib is an open-source library for numerical linear and non-linear
+algebra designed to match the requirements of resource-limited or embedded
+devices. RcdMathLib supports solving linear and non-linear equation systems.
+Furthermore, it provides general-purpose implemented methods that facilitate
+solving problems of regression smoothing and curve fitting. It also allows for
+calculating as well as optimizing a position on a mobile device.
+
+
+Download and use RcdMathLib {#download-use-RcdMathLib}
+===========================
+
+The simplest way to use the RcdMathLib for resource-limited devices is to
+download the Elipse project (TODO). The following Eclipse project enables
+also the RcdMathLib for full-fledged platforms (TODO).
+
+
+The quickest start {#the-quickest-start}
+==================
+You can run RcdMathLib on most resource-limited such as the STM32 Discovery board as
+well as on a PC.
+Try it right now in your terminal window:
+
+~~~~~~~{.sh}
+git clone git://github.com/RIOT-OS/RIOT.git # assumption: git is pre-installed
+cd RcdMathLib/examples/linear_algebra/basic_operation/
+make all
+~~~~~~~
+
+The example above shows how to use the basic operations of the RcdMathLib such as the vector or
+the matrix operations.
+
+Structure {#structure}
+=========
+
+This section walks you through RcdMathLib's structure to easily find your way around in RcdMathLib's code base.
+
+
+
+
+
+RcdMathLib's source code is composed into three groups:
+
+ - Linear algebra
+ - Non-linear algebra
+ - Localization
+
+
+In addition RcdMathLib includes various examples to familiarize the user with the software
+as well as an API to facilitate the use and the further development of the library.
+
+The structural groups are projected onto the directory structure of RcdMathLib, where
+each of these groups resides in one or two directories in the main RcdMathLib
+directory.
+
+The following list gives a more detailed description of each of RcdMathLib's
+top-level directories:
+
+Linear Algebra
+--------------
+This directory contains functions that are specific to vector and matrix operations, and
+other algebraic operations. It provides functions to perform basic matrix operations such
+as matrix addition, multiplication, or transposition. It also provides algorithms for complex
+operations like matrix decomposition algorithms, algorithms to calculate the pseudo-inverse
+of a matrix, or methods to solve systems of linear equations. The linear algebra module is
+divided in the following sub-modules:
+- Basic operations sub-module.
+- Matrix decompositions sub-module.
+- Pseudo-Inverse sub-module.
+- Solve linear equations sub-module.
+- Utilities sub-module.
+
+
+See @ref linear_algebra module for further information and API documentations.
+
+Non-Linear Algebra
+------------------
+The non-linear algebra module contains functions to solve multi-variant nonlinear
+equations as wells algorithms solving problems of regression smoothing and curve
+fitting. This module also enables enables the optimization of an approximate solution
+by using Non-linear Least Squares (NLS) methods such as modified Gauss--Newton (GN) or
+the Levenberg--Marquardt (LVM) algorithms. The non-linear algebra module is
+divided in the two following sub-modules:
+
+- Solve non-linear equations sub-module.
+- Optimization sub-module.
+
+See here @ref non_linear_algebra module for further information.
+
+Localization
+------------
+The localization module contains functions to compute a position of a mobile device
+using distance measurements or DC-pulsed, magnetic signals. This module also includes
+optimization algorithms such as the Levenberg--Marquardt approach to optimize the
+calculated position. The localization module also involves a method to recognize and
+mitigate the multipath errors on the mobile station.
+
+In the `position_algos` sub-directory you can find the implementations of the
+distance-based localization system (see the @ref distance_based module) as well as
+the implementations of the DC-pulsed, magnetic position system (see the @ref magnetic_based
+module). The `pos_algos_common` sub-directory contains common localization algorithms like
+the trilateration method (see the @ref pos_algos_common module). The optimization algorithms are
+localted in the `optimization` sub-directory providing the following optimization approaches:
+
+- Gauss--Newton (GN) algorithm.
+- Levenberg--Marquardt (LVM) algorithm.
+- Multipath Distance Detection and Mitigation (MDDM) algorithm.
+
+See the @ref localization module for more detailed information.
+
+examples
+--------
+Here you find a number of example applications that demonstrate certain
+features of RcdMathLib. The examples found in this directory is a good
+starting point for anyone who is new to RcdMathLib.
+
+For more information best browse that directory and have a look at the
+`README.md` files that ship with each example.
+
+To create your own application - here or anywhere else - see @ref creating-an-application
+
+
+doc
+---
+The `doc` directory contains the doxygen configuration and also contains the compiled doxygen
+output after running `make doc`.
+
+
+
+Further information {#further-information}
+===================
+ - @ref getting-started
+ - @ref creating-an-application
+ - @ref creating-modules
+
+<!--
+Idea for this section: just name each of RIOT's main features/concepts and link
+to an appropriate page with further information:
+ - Create an application
+ - Networking
+ - The `main()` function
+ - Make system
+ - Include modules
+ - Threading
+ - Choose the right stack size
+ - IPC
+ - Auto initialization
+-->
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+
+
+</g></g></g></g></g></g></g></g><g
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+
+
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+
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+ id="tspan408">linear </tspan></text>
+
+
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+ id="tspan436">equation systems (LESs & N</tspan></text>
+
+
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+
+
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+
+
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+
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+
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+
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+
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+ id="tspan896">Position optimization:</tspan></text>
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+
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+ id="tspan924">Matrix inverse computation </tspan></text>
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+
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