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<li class="navelem"><a class="el" href="namespacetdm.html">tdm</a></li><li class="navelem"><a class="el" href="namespacetdm_1_1impl.html">impl</a></li> </ul>
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<a href="#func-members">Functions</a> </div>
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Functions</h2></td></tr>
<tr class="memitem:a8b9bffce0b1b01437454596d529e020a"><td class="memTemplParams" colspan="2">template&lt;<a class="el" href="namespacetdm.html#a644d3de5f1ca2eaa628196afcfbadef4">dim_t</a> N, typename T &gt; </td></tr>
<tr class="memitem:a8b9bffce0b1b01437454596d529e020a"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacetdm_1_1impl.html#a8b9bffce0b1b01437454596d529e020a">minor</a> (const <a class="el" href="structtdm_1_1mat.html">mat</a>&lt; N, N, T &gt; &amp;input, <a class="el" href="namespacetdm.html#a644d3de5f1ca2eaa628196afcfbadef4">dim_t</a> dimensions, <a class="el" href="namespacetdm.html#a644d3de5f1ca2eaa628196afcfbadef4">dim_t</a> i, <a class="el" href="namespacetdm.html#a644d3de5f1ca2eaa628196afcfbadef4">dim_t</a> j, <a class="el" href="structtdm_1_1mat.html">mat</a>&lt; N, N, T &gt; &amp;output)</td></tr>
<tr class="separator:a8b9bffce0b1b01437454596d529e020a"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:abb27bdfe1717ef57f4dcd7cba4ab4cbb"><td class="memTemplParams" colspan="2">template&lt;<a class="el" href="namespacetdm.html#a644d3de5f1ca2eaa628196afcfbadef4">dim_t</a> N, typename T &gt; </td></tr>
<tr class="memitem:abb27bdfe1717ef57f4dcd7cba4ab4cbb"><td class="memTemplItemLeft" align="right" valign="top">T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacetdm_1_1impl.html#abb27bdfe1717ef57f4dcd7cba4ab4cbb">determinant</a> (const <a class="el" href="structtdm_1_1mat.html">mat</a>&lt; N, N, T &gt; &amp;m, <a class="el" href="namespacetdm.html#a644d3de5f1ca2eaa628196afcfbadef4">dim_t</a> dimensions)</td></tr>
<tr class="separator:abb27bdfe1717ef57f4dcd7cba4ab4cbb"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a984ad92a11c06e34fc8cbd1e3bbf468f"><td class="memTemplParams" colspan="2">template&lt;<a class="el" href="namespacetdm.html#a644d3de5f1ca2eaa628196afcfbadef4">dim_t</a> N, typename T &gt; </td></tr>
<tr class="memitem:a984ad92a11c06e34fc8cbd1e3bbf468f"><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="structtdm_1_1mat.html">mat</a>&lt; N, N, T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacetdm_1_1impl.html#a984ad92a11c06e34fc8cbd1e3bbf468f">adjoint</a> (const <a class="el" href="structtdm_1_1mat.html">mat</a>&lt; N, N, T &gt; &amp;m)</td></tr>
<tr class="separator:a984ad92a11c06e34fc8cbd1e3bbf468f"><td class="memSeparator" colspan="2">&#160;</td></tr>
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<h2 class="groupheader">Function Documentation</h2>
<a id="a984ad92a11c06e34fc8cbd1e3bbf468f" name="a984ad92a11c06e34fc8cbd1e3bbf468f"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a984ad92a11c06e34fc8cbd1e3bbf468f">&#9670;&nbsp;</a></span>adjoint()</h2>
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template&lt;<a class="el" href="namespacetdm.html#a644d3de5f1ca2eaa628196afcfbadef4">dim_t</a> N, typename T &gt; </div>
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<td class="memname"><a class="el" href="structtdm_1_1mat.html">mat</a>&lt; N, N, T &gt; tdm::impl::adjoint </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="structtdm_1_1mat.html">mat</a>&lt; N, N, T &gt; &amp;&#160;</td>
<td class="paramname"><em>m</em></td><td>)</td>
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<div class="fragment"><div class="line"><span class="lineno"> 107</span> {</div>
<div class="line"><span class="lineno"> 108</span> <span class="keywordflow">if</span> (m.rows() == <span class="keyword">static_cast&lt;</span><a class="code hl_typedef" href="namespacetdm.html#a644d3de5f1ca2eaa628196afcfbadef4">dim_t</a><span class="keyword">&gt;</span>(1)) {</div>
<div class="line"><span class="lineno"> 109</span> <span class="keywordflow">return</span> <a class="code hl_struct" href="structtdm_1_1mat.html">mat&lt;N, N, T&gt;</a>{<span class="keyword">static_cast&lt;</span>T<span class="keyword">&gt;</span>(1)};</div>
<div class="line"><span class="lineno"> 110</span> }</div>
<div class="line"><span class="lineno"> 111</span> </div>
<div class="line"><span class="lineno"> 112</span> mat&lt;N, N, T&gt; result;</div>
<div class="line"><span class="lineno"> 113</span> mat&lt;N, N, T&gt; temp;</div>
<div class="line"><span class="lineno"> 114</span> <span class="keywordflow">for</span> (<a class="code hl_typedef" href="namespacetdm.html#a644d3de5f1ca2eaa628196afcfbadef4">dim_t</a> row{}; row &lt; <a class="code hl_enumvalue" href="namespacedna.html#abf96ecde7d9e8593bf3b2dd0649645d7a6f8f57715090da2632453988d9a1501b">m</a>.rows(); ++row) {</div>
<div class="line"><span class="lineno"> 115</span> <span class="keywordflow">for</span> (<a class="code hl_typedef" href="namespacetdm.html#a644d3de5f1ca2eaa628196afcfbadef4">dim_t</a> col{}; col &lt; <a class="code hl_enumvalue" href="namespacedna.html#abf96ecde7d9e8593bf3b2dd0649645d7a6f8f57715090da2632453988d9a1501b">m</a>.columns(); ++col) {</div>
<div class="line"><span class="lineno"> 116</span> <a class="code hl_function" href="namespacetdm_1_1impl.html#a8b9bffce0b1b01437454596d529e020a">minor</a>(m, N, row, col, temp);</div>
<div class="line"><span class="lineno"> 117</span> <span class="keyword">const</span> T sign = <span class="keyword">static_cast&lt;</span>T<span class="keyword">&gt;</span>((row + col) % 2u == 0u ? 1 : -1);</div>
<div class="line"><span class="lineno"> 118</span> result(col, row) = (sign * <a class="code hl_function" href="namespacetdm.html#a8b9006c1e5787cd89b7da5bdb8749ba0">determinant</a>(temp, N - 1));</div>
<div class="line"><span class="lineno"> 119</span> }</div>
<div class="line"><span class="lineno"> 120</span> }</div>
<div class="line"><span class="lineno"> 121</span> <span class="keywordflow">return</span> result;</div>
<div class="line"><span class="lineno"> 122</span>}</div>
<div class="ttc" id="anamespacedna_html_abf96ecde7d9e8593bf3b2dd0649645d7a6f8f57715090da2632453988d9a1501b"><div class="ttname"><a href="namespacedna.html#abf96ecde7d9e8593bf3b2dd0649645d7a6f8f57715090da2632453988d9a1501b">dna::TranslationUnit::m</a></div><div class="ttdeci">@ m</div></div>
<div class="ttc" id="anamespacetdm_1_1impl_html_a8b9bffce0b1b01437454596d529e020a"><div class="ttname"><a href="namespacetdm_1_1impl.html#a8b9bffce0b1b01437454596d529e020a">tdm::impl::minor</a></div><div class="ttdeci">void minor(const mat&lt; N, N, T &gt; &amp;input, dim_t dimensions, dim_t i, dim_t j, mat&lt; N, N, T &gt; &amp;output)</div><div class="ttdef"><b>Definition:</b> Computations.h:72</div></div>
<div class="ttc" id="anamespacetdm_html_a644d3de5f1ca2eaa628196afcfbadef4"><div class="ttname"><a href="namespacetdm.html#a644d3de5f1ca2eaa628196afcfbadef4">tdm::dim_t</a></div><div class="ttdeci">std::size_t dim_t</div><div class="ttdef"><b>Definition:</b> Types.h:22</div></div>
<div class="ttc" id="anamespacetdm_html_a8b9006c1e5787cd89b7da5bdb8749ba0"><div class="ttname"><a href="namespacetdm.html#a8b9006c1e5787cd89b7da5bdb8749ba0">tdm::determinant</a></div><div class="ttdeci">T determinant(const mat&lt; N, N, T &gt; &amp;m)</div><div class="ttdef"><b>Definition:</b> Computations.h:129</div></div>
<div class="ttc" id="astructtdm_1_1mat_html"><div class="ttname"><a href="structtdm_1_1mat.html">tdm::mat</a></div><div class="ttdef"><b>Definition:</b> Mat.h:17</div></div>
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<p class="reference">References <a class="el" href="namespacetdm_1_1impl.html#abb27bdfe1717ef57f4dcd7cba4ab4cbb">determinant()</a>, and <a class="el" href="namespacetdm_1_1impl.html#a8b9bffce0b1b01437454596d529e020a">minor()</a>.</p>
<p class="reference">Referenced by <a class="el" href="namespacetdm.html#af6249949ec4da22bf7b907f2751efcaa">tdm::inverse()</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#abb27bdfe1717ef57f4dcd7cba4ab4cbb">&#9670;&nbsp;</a></span>determinant()</h2>
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template&lt;<a class="el" href="namespacetdm.html#a644d3de5f1ca2eaa628196afcfbadef4">dim_t</a> N, typename T &gt; </div>
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<td class="memname">T tdm::impl::determinant </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="structtdm_1_1mat.html">mat</a>&lt; N, N, T &gt; &amp;&#160;</td>
<td class="paramname"><em>m</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="namespacetdm.html#a644d3de5f1ca2eaa628196afcfbadef4">dim_t</a>&#160;</td>
<td class="paramname"><em>dimensions</em>&#160;</td>
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<td>)</td>
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<div class="fragment"><div class="line"><span class="lineno"> 88</span> {</div>
<div class="line"><span class="lineno"> 89</span> <span class="keywordflow">if</span> (dimensions == <span class="keyword">static_cast&lt;</span><a class="code hl_typedef" href="namespacetdm.html#a644d3de5f1ca2eaa628196afcfbadef4">dim_t</a><span class="keyword">&gt;</span>(1)) {</div>
<div class="line"><span class="lineno"> 90</span> <span class="keywordflow">return</span> m(0, 0);</div>
<div class="line"><span class="lineno"> 91</span> }</div>
<div class="line"><span class="lineno"> 92</span> </div>
<div class="line"><span class="lineno"> 93</span> T result{};</div>
<div class="line"><span class="lineno"> 94</span> mat&lt;N, N, T&gt; temp;</div>
<div class="line"><span class="lineno"> 95</span> <span class="keyword">auto</span> sign = <span class="keyword">static_cast&lt;</span>T<span class="keyword">&gt;</span>(1);</div>
<div class="line"><span class="lineno"> 96</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespacetdm.html#a644d3de5f1ca2eaa628196afcfbadef4">dim_t</a> i{};</div>
<div class="line"><span class="lineno"> 97</span> <span class="keywordflow">for</span> (<a class="code hl_typedef" href="namespacetdm.html#a644d3de5f1ca2eaa628196afcfbadef4">dim_t</a> j{}; j &lt; dimensions; ++j) {</div>
<div class="line"><span class="lineno"> 98</span> <a class="code hl_function" href="namespacetdm_1_1impl.html#a8b9bffce0b1b01437454596d529e020a">minor</a>(m, dimensions, i, j, temp);</div>
<div class="line"><span class="lineno"> 99</span> result += (sign * <a class="code hl_enumvalue" href="namespacedna.html#abf96ecde7d9e8593bf3b2dd0649645d7a6f8f57715090da2632453988d9a1501b">m</a>(i, j) * <a class="code hl_function" href="namespacetdm.html#a8b9006c1e5787cd89b7da5bdb8749ba0">determinant</a>(temp, dimensions - 1));</div>
<div class="line"><span class="lineno"> 100</span> sign = -sign;</div>
<div class="line"><span class="lineno"> 101</span> }</div>
<div class="line"><span class="lineno"> 102</span> </div>
<div class="line"><span class="lineno"> 103</span> <span class="keywordflow">return</span> result;</div>
<div class="line"><span class="lineno"> 104</span>}</div>
</div><!-- fragment -->
<p class="reference">References <a class="el" href="namespacetdm_1_1impl.html#abb27bdfe1717ef57f4dcd7cba4ab4cbb">determinant()</a>, and <a class="el" href="namespacetdm_1_1impl.html#a8b9bffce0b1b01437454596d529e020a">minor()</a>.</p>
<p class="reference">Referenced by <a class="el" href="namespacetdm_1_1impl.html#a984ad92a11c06e34fc8cbd1e3bbf468f">adjoint()</a>, <a class="el" href="namespacetdm.html#a8b9006c1e5787cd89b7da5bdb8749ba0">tdm::determinant()</a>, and <a class="el" href="namespacetdm_1_1impl.html#abb27bdfe1717ef57f4dcd7cba4ab4cbb">determinant()</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a8b9bffce0b1b01437454596d529e020a">&#9670;&nbsp;</a></span>minor()</h2>
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template&lt;<a class="el" href="namespacetdm.html#a644d3de5f1ca2eaa628196afcfbadef4">dim_t</a> N, typename T &gt; </div>
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<td class="memname">void tdm::impl::minor </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="structtdm_1_1mat.html">mat</a>&lt; N, N, T &gt; &amp;&#160;</td>
<td class="paramname"><em>input</em>, </td>
</tr>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="namespacetdm.html#a644d3de5f1ca2eaa628196afcfbadef4">dim_t</a>&#160;</td>
<td class="paramname"><em>dimensions</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="namespacetdm.html#a644d3de5f1ca2eaa628196afcfbadef4">dim_t</a>&#160;</td>
<td class="paramname"><em>i</em>, </td>
</tr>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="namespacetdm.html#a644d3de5f1ca2eaa628196afcfbadef4">dim_t</a>&#160;</td>
<td class="paramname"><em>j</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structtdm_1_1mat.html">mat</a>&lt; N, N, T &gt; &amp;&#160;</td>
<td class="paramname"><em>output</em>&#160;</td>
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<td>)</td>
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<div class="fragment"><div class="line"><span class="lineno"> 72</span> {</div>
<div class="line"><span class="lineno"> 73</span> <span class="keywordflow">for</span> (<a class="code hl_typedef" href="namespacetdm.html#a644d3de5f1ca2eaa628196afcfbadef4">dim_t</a> outRow{}, inRow{}; inRow &lt; dimensions; ++inRow) {</div>
<div class="line"><span class="lineno"> 74</span> <span class="keywordflow">for</span> (<a class="code hl_typedef" href="namespacetdm.html#a644d3de5f1ca2eaa628196afcfbadef4">dim_t</a> outCol{}, inCol{}; inCol &lt; dimensions; ++inCol) {</div>
<div class="line"><span class="lineno"> 75</span> <span class="keywordflow">if</span> ((inRow != i) &amp;&amp; (inCol != j)) {</div>
<div class="line"><span class="lineno"> 76</span> output(outRow, outCol) = input(inRow, inCol);</div>
<div class="line"><span class="lineno"> 77</span> ++outCol;</div>
<div class="line"><span class="lineno"> 78</span> <span class="keywordflow">if</span> (outCol == (dimensions - <span class="keyword">static_cast&lt;</span><a class="code hl_typedef" href="namespacetdm.html#a644d3de5f1ca2eaa628196afcfbadef4">dim_t</a><span class="keyword">&gt;</span>(1))) {</div>
<div class="line"><span class="lineno"> 79</span> outCol = {};</div>
<div class="line"><span class="lineno"> 80</span> ++outRow;</div>
<div class="line"><span class="lineno"> 81</span> }</div>
<div class="line"><span class="lineno"> 82</span> }</div>
<div class="line"><span class="lineno"> 83</span> }</div>
<div class="line"><span class="lineno"> 84</span> }</div>
<div class="line"><span class="lineno"> 85</span>}</div>
</div><!-- fragment -->
<p class="reference">Referenced by <a class="el" href="namespacetdm_1_1impl.html#a984ad92a11c06e34fc8cbd1e3bbf468f">adjoint()</a>, and <a class="el" href="namespacetdm_1_1impl.html#abb27bdfe1717ef57f4dcd7cba4ab4cbb">determinant()</a>.</p>
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