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2025-05-19 11:38:33 +00:00
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18
d4/d68/qr__decompose_8h.html
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@@ -4,7 +4,7 @@
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@@ -158,22 +158,22 @@ Namespaces</h2></td></tr>
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Functions</h2></td></tr>
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<tr class="memitem:adfbdf47277c8cfee229b05b72f1f7834"><td class="memTemplItemLeft" align="right" valign="top">std::ostream &amp;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../d2/d3b/namespaceqr__algorithm.html#adfbdf47277c8cfee229b05b72f1f7834">qr_algorithm::operator&lt;&lt;</a> (std::ostream &amp;out, std::valarray&lt; std::valarray&lt; T &gt; &gt; const &amp;v)</td></tr>
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<tr class="memitem:a8ea313a1a1b5f9d0e3e332c29c6446ec"><td class="memTemplItemLeft" align="right" valign="top">double&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../d2/d3b/namespaceqr__algorithm.html#a8ea313a1a1b5f9d0e3e332c29c6446ec">qr_algorithm::vector_dot</a> (const std::valarray&lt; T &gt; &amp;a, const std::valarray&lt; T &gt; &amp;b)</td></tr>
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<tr class="memitem:ad16da2183db22378435042f26af43d5f" id="r_ad16da2183db22378435042f26af43d5f"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
<tr class="memitem:ad16da2183db22378435042f26af43d5f" id="r_ad16da2183db22378435042f26af43d5f"><td class="memTemplParams" colspan="2">template&lt;typename T&gt; </td></tr>
<tr class="memitem:ad16da2183db22378435042f26af43d5f"><td class="memTemplItemLeft" align="right" valign="top">double&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../d2/d3b/namespaceqr__algorithm.html#ad16da2183db22378435042f26af43d5f">qr_algorithm::vector_mag</a> (const std::valarray&lt; T &gt; &amp;a)</td></tr>
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<tr class="memitem:a6d3c7dce1f142141f509d09f6c0e25dc"><td class="memTemplItemLeft" align="right" valign="top">std::valarray&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../d2/d3b/namespaceqr__algorithm.html#a6d3c7dce1f142141f509d09f6c0e25dc">qr_algorithm::vector_proj</a> (const std::valarray&lt; T &gt; &amp;a, const std::valarray&lt; T &gt; &amp;b)</td></tr>
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<tr class="memitem:a73ce637634fc49e1d10d190eb388ebf1" id="r_a73ce637634fc49e1d10d190eb388ebf1"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
<tr class="memitem:a73ce637634fc49e1d10d190eb388ebf1" id="r_a73ce637634fc49e1d10d190eb388ebf1"><td class="memTemplParams" colspan="2">template&lt;typename T&gt; </td></tr>
<tr class="memitem:a73ce637634fc49e1d10d190eb388ebf1"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../d2/d3b/namespaceqr__algorithm.html#a73ce637634fc49e1d10d190eb388ebf1">qr_algorithm::qr_decompose</a> (const std::valarray&lt; std::valarray&lt; T &gt; &gt; &amp;A, std::valarray&lt; std::valarray&lt; T &gt; &gt; *Q, std::valarray&lt; std::valarray&lt; T &gt; &gt; *R)</td></tr>
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<li class="navelem"><a class="el" href="../../dir_9c6faab82c22511b50177aa2e38e2780.html">numerical_methods</a></li><li class="navelem"><a class="el" href="../../d4/d68/qr__decompose_8h.html">qr_decompose.h</a></li>
<li class="footer">Generated by <a href="https://www.doxygen.org/index.html"><img class="footer" src="../../doxygen.svg" width="104" height="31" alt="doxygen"/></a> 1.12.0 </li>
<li class="footer">Generated by <a href="https://www.doxygen.org/index.html"><img class="footer" src="../../doxygen.svg" width="104" height="31" alt="doxygen"/></a> 1.13.2 </li>
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d4/d68/qr__decompose_8h.js
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@@ -1,9 +1,9 @@
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[ "vector_mag", "d4/d68/qr__decompose_8h.html#ad16da2183db22378435042f26af43d5f", null ],
[ "vector_proj", "d4/d68/qr__decompose_8h.html#a6d3c7dce1f142141f509d09f6c0e25dc", null ]
[ "qr_algorithm::operator<<", "d2/d3b/namespaceqr__algorithm.html#adfbdf47277c8cfee229b05b72f1f7834", null ],
[ "qr_algorithm::operator<<", "d2/d3b/namespaceqr__algorithm.html#a257425cb2365359da51c6fe6741834d8", null ],
[ "qr_algorithm::qr_decompose", "d2/d3b/namespaceqr__algorithm.html#a73ce637634fc49e1d10d190eb388ebf1", null ],
[ "qr_algorithm::vector_dot", "d2/d3b/namespaceqr__algorithm.html#a8ea313a1a1b5f9d0e3e332c29c6446ec", null ],
[ "qr_algorithm::vector_mag", "d2/d3b/namespaceqr__algorithm.html#ad16da2183db22378435042f26af43d5f", null ],
[ "qr_algorithm::vector_proj", "d2/d3b/namespaceqr__algorithm.html#a6d3c7dce1f142141f509d09f6c0e25dc", null ]
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23
d4/d68/qr__decompose_8h_source.html
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@@ -4,7 +4,7 @@
<head>
<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
<meta http-equiv="X-UA-Compatible" content="IE=11"/>
<meta name="generator" content="Doxygen 1.12.0"/>
<meta name="generator" content="Doxygen 1.13.2"/>
<meta name="viewport" content="width=device-width, initial-scale=1"/>
<title>TheAlgorithms/C++: numerical_methods/qr_decompose.h Source File</title>
<link rel="icon" href="../../favicon.svg" type="image/x-icon" />
@@ -60,7 +60,7 @@ window.MathJax = {
</table>
</div>
<!-- end header part -->
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<script type="text/javascript">
/* @license magnet:?xt=urn:btih:d3d9a9a6595521f9666a5e94cc830dab83b65699&amp;dn=expat.txt MIT */
var searchBox = new SearchBox("searchBox", "../../search/",'.html');
@@ -124,7 +124,8 @@ $(function(){initNavTree('d4/d68/qr__decompose_8h_source.html','../../'); initRe
<div class="headertitle"><div class="title">qr_decompose.h</div></div>
</div><!--header-->
<div class="contents">
<a href="../../d4/d68/qr__decompose_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno"> 1</span> </div>
<a href="../../d4/d68/qr__decompose_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno"> 1</span></div>
<div class="line"><a id="l00008" name="l00008"></a><span class="lineno"> 8</span> </div>
<div class="line"><a id="l00009" name="l00009"></a><span class="lineno"> 9</span><span class="preprocessor">#ifndef NUMERICAL_METHODS_QR_DECOMPOSE_H_</span></div>
<div class="line"><a id="l00010" name="l00010"></a><span class="lineno"> 10</span><span class="preprocessor">#define NUMERICAL_METHODS_QR_DECOMPOSE_H_</span></div>
<div class="line"><a id="l00011" name="l00011"></a><span class="lineno"> 11</span> </div>
@@ -138,7 +139,7 @@ $(function(){initNavTree('d4/d68/qr__decompose_8h_source.html','../../'); initRe
<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"> 19</span><span class="preprocessor">#ifdef _OPENMP</span></div>
<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span><span class="preprocessor">#include &lt;omp.h&gt;</span></div>
<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span><span class="preprocessor">#endif</span></div>
<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span> </div>
<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span></div>
<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span><span class="keyword">namespace </span><a class="code hl_namespace" href="../../d2/d3b/namespaceqr__algorithm.html">qr_algorithm</a> {</div>
<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span><span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
<div class="foldopen" id="foldopen00033" data-start="{" data-end="}">
@@ -158,7 +159,7 @@ $(function(){initNavTree('d4/d68/qr__decompose_8h_source.html','../../'); initRe
<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span> <span class="keywordflow">return</span> out;</div>
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span>}</div>
</div>
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span> </div>
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span></div>
<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span><span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
<div class="foldopen" id="foldopen00053" data-start="{" data-end="}">
<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"><a class="line" href="../../d2/d3b/namespaceqr__algorithm.html#a257425cb2365359da51c6fe6741834d8"> 53</a></span>std::ostream &amp;<a class="code hl_function" href="../../d2/d3b/namespaceqr__algorithm.html#adfbdf47277c8cfee229b05b72f1f7834">operator&lt;&lt;</a>(std::ostream &amp;out, std::valarray&lt;T&gt; <span class="keyword">const</span> &amp;v) {</div>
@@ -174,7 +175,7 @@ $(function(){initNavTree('d4/d68/qr__decompose_8h_source.html','../../'); initRe
<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> <span class="keywordflow">return</span> out;</div>
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span>}</div>
</div>
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> </div>
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span></div>
<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span><span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
<div class="foldopen" id="foldopen00076" data-start="{" data-end="}">
<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"><a class="line" href="../../d2/d3b/namespaceqr__algorithm.html#a8ea313a1a1b5f9d0e3e332c29c6446ec"> 76</a></span><span class="keyword">inline</span> <span class="keywordtype">double</span> <a class="code hl_function" href="../../d2/d3b/namespaceqr__algorithm.html#a8ea313a1a1b5f9d0e3e332c29c6446ec">vector_dot</a>(<span class="keyword">const</span> std::valarray&lt;T&gt; &amp;a, <span class="keyword">const</span> std::valarray&lt;T&gt; &amp;b) {</div>
@@ -184,7 +185,7 @@ $(function(){initNavTree('d4/d68/qr__decompose_8h_source.html','../../'); initRe
<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span> <span class="comment">// 0.f);</span></div>
<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span>}</div>
</div>
<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span> </div>
<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span></div>
<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span><span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
<div class="foldopen" id="foldopen00092" data-start="{" data-end="}">
<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"><a class="line" href="../../d2/d3b/namespaceqr__algorithm.html#ad16da2183db22378435042f26af43d5f"> 92</a></span><span class="keyword">inline</span> <span class="keywordtype">double</span> <a class="code hl_function" href="../../d2/d3b/namespaceqr__algorithm.html#ad16da2183db22378435042f26af43d5f">vector_mag</a>(<span class="keyword">const</span> std::valarray&lt;T&gt; &amp;a) {</div>
@@ -192,14 +193,14 @@ $(function(){initNavTree('d4/d68/qr__decompose_8h_source.html','../../'); initRe
<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span> <span class="keywordflow">return</span> std::sqrt(dot);</div>
<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span>}</div>
</div>
<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span> </div>
<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span></div>
<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span><span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
<div class="foldopen" id="foldopen00104" data-start="{" data-end="}">
<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"><a class="line" href="../../d2/d3b/namespaceqr__algorithm.html#a6d3c7dce1f142141f509d09f6c0e25dc"> 104</a></span>std::valarray&lt;T&gt; <a class="code hl_function" href="../../d2/d3b/namespaceqr__algorithm.html#a6d3c7dce1f142141f509d09f6c0e25dc">vector_proj</a>(<span class="keyword">const</span> std::valarray&lt;T&gt; &amp;a,</div>
<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span> <span class="keyword">const</span> std::valarray&lt;T&gt; &amp;b) {</div>
<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span> <span class="keywordtype">double</span> num = <a class="code hl_function" href="../../d2/d3b/namespaceqr__algorithm.html#a8ea313a1a1b5f9d0e3e332c29c6446ec">vector_dot</a>(a, b);</div>
<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</span> <span class="keywordtype">double</span> deno = <a class="code hl_function" href="../../d2/d3b/namespaceqr__algorithm.html#a8ea313a1a1b5f9d0e3e332c29c6446ec">vector_dot</a>(b, b);</div>
<div class="line"><a id="l00108" name="l00108"></a><span class="lineno"> 108</span> </div>
<div class="line"><a id="l00108" name="l00108"></a><span class="lineno"> 108</span></div>
<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"> 110</span> <span class="keywordflow">if</span> (deno &lt;= std::numeric_limits&lt;double&gt;::epsilon()) {</div>
<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span> std::cerr &lt;&lt; <span class="stringliteral">&quot;[&quot;</span> &lt;&lt; __func__ &lt;&lt; <span class="stringliteral">&quot;] Possible division by zero\n&quot;</span>;</div>
<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span> <span class="keywordflow">return</span> a; <span class="comment">// return vector a back</span></div>
@@ -210,7 +211,7 @@ $(function(){initNavTree('d4/d68/qr__decompose_8h_source.html','../../'); initRe
<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"> 117</span> <span class="keywordflow">return</span> b * scalar;</div>
<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span>}</div>
</div>
<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</span> </div>
<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</span></div>
<div class="line"><a id="l00145" name="l00145"></a><span class="lineno"> 145</span><span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
<div class="foldopen" id="foldopen00146" data-start="{" data-end="}">
<div class="line"><a id="l00146" name="l00146"></a><span class="lineno"><a class="line" href="../../d2/d3b/namespaceqr__algorithm.html#a73ce637634fc49e1d10d190eb388ebf1"> 146</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="../../d2/d3b/namespaceqr__algorithm.html#a73ce637634fc49e1d10d190eb388ebf1">qr_decompose</a>(</div>
@@ -291,7 +292,7 @@ $(function(){initNavTree('d4/d68/qr__decompose_8h_source.html','../../'); initRe
<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
<ul>
<li class="navelem"><a class="el" href="../../dir_9c6faab82c22511b50177aa2e38e2780.html">numerical_methods</a></li><li class="navelem"><a class="el" href="../../d4/d68/qr__decompose_8h.html">qr_decompose.h</a></li>
<li class="footer">Generated by <a href="https://www.doxygen.org/index.html"><img class="footer" src="../../doxygen.svg" width="104" height="31" alt="doxygen"/></a> 1.12.0 </li>
<li class="footer">Generated by <a href="https://www.doxygen.org/index.html"><img class="footer" src="../../doxygen.svg" width="104" height="31" alt="doxygen"/></a> 1.13.2 </li>
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