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262 lines
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<div id="projectname">DNA Calib<span id="projectnumber"> 1.1</span>
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<li class="navelem"><a class="el" href="dir_152a494004de7bf5f5699139fd63e08c.html">dnacalib</a></li><li class="navelem"><a class="el" href="dir_e342cf579e4a20e61ca12fdabd8b8b30.html">DNACalib</a></li><li class="navelem"><a class="el" href="dir_ebe8ed350d62118184cb59aefa6eec76.html">src</a></li><li class="navelem"><a class="el" href="dir_78d82fc3e63767681cde80df46b20e45.html">tdm</a></li> </ul>
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<div class="headertitle"><div class="title">Computations.h</div></div>
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<a href="Computations_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><span class="comment">// Copyright Epic Games, Inc. All Rights Reserved.</span></div>
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<div class="line"><a id="l00002" name="l00002"></a><span class="lineno"> 2</span> </div>
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<div class="line"><a id="l00003" name="l00003"></a><span class="lineno"> 3</span><span class="preprocessor">#pragma once</span></div>
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<div class="line"><a id="l00004" name="l00004"></a><span class="lineno"> 4</span> </div>
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<div class="line"><a id="l00005" name="l00005"></a><span class="lineno"> 5</span><span class="preprocessor">#include "<a class="code" href="Types_8h.html">tdm/Types.h</a>"</span></div>
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<div class="line"><a id="l00006" name="l00006"></a><span class="lineno"> 6</span><span class="preprocessor">#include "<a class="code" href="Mat_8h.html">tdm/Mat.h</a>"</span></div>
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<div class="line"><a id="l00007" name="l00007"></a><span class="lineno"> 7</span><span class="preprocessor">#include "<a class="code" href="Vec_8h.html">tdm/Vec.h</a>"</span></div>
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<div class="line"><a id="l00008" name="l00008"></a><span class="lineno"> 8</span> </div>
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<div class="line"><a id="l00009" name="l00009"></a><span class="lineno"> 9</span><span class="preprocessor">#ifdef _MSC_VER</span></div>
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<div class="line"><a id="l00010" name="l00010"></a><span class="lineno"> 10</span><span class="preprocessor"> #pragma warning(push)</span></div>
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<div class="line"><a id="l00011" name="l00011"></a><span class="lineno"> 11</span><span class="preprocessor"> #pragma warning(disable : 4365 4987)</span></div>
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<div class="line"><a id="l00012" name="l00012"></a><span class="lineno"> 12</span><span class="preprocessor">#endif</span></div>
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<div class="line"><a id="l00013" name="l00013"></a><span class="lineno"> 13</span><span class="preprocessor">#include <cmath></span></div>
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<div class="line"><a id="l00014" name="l00014"></a><span class="lineno"> 14</span><span class="preprocessor">#include <utility></span></div>
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<div class="line"><a id="l00015" name="l00015"></a><span class="lineno"> 15</span><span class="preprocessor">#ifdef _MSC_VER</span></div>
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<div class="line"><a id="l00016" name="l00016"></a><span class="lineno"> 16</span><span class="preprocessor"> #pragma warning(pop)</span></div>
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<div class="line"><a id="l00017" name="l00017"></a><span class="lineno"> 17</span><span class="preprocessor">#endif</span></div>
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<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span> </div>
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<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"><a class="line" href="namespacetdm.html"> 19</a></span><span class="keyword">namespace </span><a class="code hl_namespace" href="namespacetdm.html">tdm</a> {</div>
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<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span> </div>
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<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span><span class="keyword">template</span><<span class="keyword">typename</span> T></div>
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<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"><a class="line" href="namespacetdm.html#ab7a32e9e75bbffd9cda585d73d313de8"> 22</a></span><span class="keyword">inline</span> <a class="code hl_struct" href="structtdm_1_1vec.html">vec3<T></a> <a class="code hl_function" href="namespacetdm.html#ab7a32e9e75bbffd9cda585d73d313de8">cross</a>(<span class="keyword">const</span> <a class="code hl_struct" href="structtdm_1_1vec.html">vec3<T></a>& lhs, <span class="keyword">const</span> <a class="code hl_struct" href="structtdm_1_1vec.html">vec3<T></a>& rhs) {</div>
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<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"> 23</span> <span class="keywordflow">return</span> <a class="code hl_struct" href="structtdm_1_1vec.html">vec3<T></a>{</div>
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<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span> lhs[1] * rhs[2] - lhs[2] * rhs[1],</div>
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<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"> 25</span> lhs[2] * rhs[0] - lhs[0] * rhs[2],</div>
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<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"> 26</span> lhs[0] * rhs[1] - lhs[1] * rhs[0]</div>
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<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span> };</div>
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<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span>}</div>
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<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</span> </div>
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<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span><span class="keyword">template</span><dim_t L, <span class="keyword">typename</span> T></div>
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<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"><a class="line" href="namespacetdm.html#a789cefc95e9408211615da063d75b751"> 31</a></span><span class="keyword">inline</span> T <a class="code hl_function" href="namespacetdm.html#a789cefc95e9408211615da063d75b751">dot</a>(<span class="keyword">const</span> <a class="code hl_struct" href="structtdm_1_1vec.html">vec<L, T></a>& lhs, <span class="keyword">const</span> <a class="code hl_struct" href="structtdm_1_1vec.html">vec<L, T></a>& rhs) {</div>
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<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span> <span class="keywordflow">return</span> (lhs * rhs).sum();</div>
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<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span>}</div>
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<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span> </div>
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<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span><span class="keyword">template</span><dim_t L, <span class="keyword">typename</span> T></div>
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<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"><a class="line" href="namespacetdm.html#a7e856a88d452831ae93e3f22c03b3e83"> 36</a></span><span class="keyword">inline</span> <a class="code hl_struct" href="structtdm_1_1vec.html">vec<L, T></a> <a class="code hl_function" href="namespacetdm.html#a7e856a88d452831ae93e3f22c03b3e83">negate</a>(<a class="code hl_struct" href="structtdm_1_1vec.html">vec<L, T></a> v) {</div>
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<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span> <span class="keywordflow">return</span> v.<a class="code hl_function" href="structtdm_1_1vec.html#a3f3ea73401edb017414292df5c64d4a8">negate</a>();</div>
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<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span>}</div>
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<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span> </div>
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<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span><span class="keyword">template</span><dim_t R, dim_t C, <span class="keyword">typename</span> T></div>
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<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"><a class="line" href="namespacetdm.html#ad2984aa9fe011508721b2582fd533cbd"> 41</a></span><span class="keyword">inline</span> <a class="code hl_struct" href="structtdm_1_1mat.html">mat<R, C, T></a> <a class="code hl_function" href="namespacetdm.html#a7e856a88d452831ae93e3f22c03b3e83">negate</a>(<span class="keyword">const</span> <a class="code hl_struct" href="structtdm_1_1mat.html">mat<R, C, T></a>& m) {</div>
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<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span> <span class="keywordflow">return</span> m.negate();</div>
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<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span>}</div>
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<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span> </div>
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<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span><span class="keyword">template</span><dim_t L, <span class="keyword">typename</span> T></div>
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<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"><a class="line" href="namespacetdm.html#aa46734d11a9299f44130a29409c2963f"> 46</a></span><span class="keyword">inline</span> <span class="keyword">typename</span> std::enable_if<std::is_floating_point<T>::value, T>::type <a class="code hl_function" href="namespacetdm.html#aa46734d11a9299f44130a29409c2963f">length</a>(<span class="keyword">const</span> <a class="code hl_struct" href="structtdm_1_1vec.html">vec<L, T></a>& v) {</div>
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<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span> <span class="keywordflow">return</span> v.<a class="code hl_function" href="structtdm_1_1vec.html#a2b355427a69d56cf8a32539191d96c93">length</a>();</div>
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<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span>}</div>
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<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span> </div>
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<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span><span class="keyword">template</span><dim_t L, <span class="keyword">typename</span> T></div>
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<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"><a class="line" href="namespacetdm.html#a19d3e09b0d8eea38abc06732ed3775a7"> 51</a></span><span class="keyword">inline</span> <span class="keyword">typename</span> std::enable_if<std::is_floating_point<T>::value, <a class="code hl_struct" href="structtdm_1_1vec.html">vec<L, T></a> >::type <a class="code hl_function" href="namespacetdm.html#a19d3e09b0d8eea38abc06732ed3775a7">normalize</a>(<a class="code hl_struct" href="structtdm_1_1vec.html">vec<L, T></a> v) {</div>
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<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span> v.<a class="code hl_function" href="structtdm_1_1vec.html#acd44cca051bda523e42cbfcbd26f49c9">normalize</a>();</div>
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<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span> <span class="keywordflow">return</span> v;</div>
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<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span>}</div>
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<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span> </div>
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<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span><span class="keyword">template</span><dim_t R, dim_t C, <span class="keyword">typename</span> T></div>
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<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"><a class="line" href="namespacetdm.html#ad5abf5602d97e3df89baa5700086e9cd"> 57</a></span><span class="keyword">inline</span> <a class="code hl_struct" href="structtdm_1_1mat.html">mat<C, R, T></a> <a class="code hl_function" href="namespacetdm.html#ad5abf5602d97e3df89baa5700086e9cd">transpose</a>(<span class="keyword">const</span> <a class="code hl_struct" href="structtdm_1_1mat.html">mat<R, C, T></a>& m) {</div>
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<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> <span class="keyword">using </span>row_type = <span class="keyword">typename</span> <a class="code hl_class" href="structtdm_1_1vec.html">mat<C, R, T>::row_type</a>;</div>
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<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> <a class="code hl_struct" href="structtdm_1_1mat.html">mat<C, R, T></a> ret;</div>
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<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span> ret.<a class="code hl_function" href="structtdm_1_1mat.html#a5b4b59b8794a8e4223119c64c47252dc">apply</a>([&m](row_type& row, <a class="code hl_typedef" href="namespacetdm.html#a644d3de5f1ca2eaa628196afcfbadef4">dim_t</a> i) {</div>
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<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> row = m.column(i);</div>
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<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> });</div>
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<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> <span class="keywordflow">return</span> ret;</div>
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<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span>}</div>
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<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> </div>
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<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"><a class="line" href="namespacetdm_1_1impl.html"> 66</a></span><span class="keyword">namespace </span>impl {</div>
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<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span> </div>
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<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span><span class="preprocessor">#pragma push_macro("minor"</span>)</div>
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<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span><span class="preprocessor">#undef minor</span></div>
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<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span> </div>
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<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span><span class="keyword">template</span><dim_t N, <span class="keyword">typename</span> T></div>
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<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"><a class="line" href="namespacetdm_1_1impl.html#a8b9bffce0b1b01437454596d529e020a"> 72</a></span><span class="keyword">inline</span> <span class="keywordtype">void</span> <a class="code hl_function" href="namespacetdm_1_1impl.html#a8b9bffce0b1b01437454596d529e020a">minor</a>(<span class="keyword">const</span> <a class="code hl_struct" href="structtdm_1_1mat.html">mat<N, N, T></a>& input, <a class="code hl_typedef" href="namespacetdm.html#a644d3de5f1ca2eaa628196afcfbadef4">dim_t</a> dimensions, <a class="code hl_typedef" href="namespacetdm.html#a644d3de5f1ca2eaa628196afcfbadef4">dim_t</a> i, <a class="code hl_typedef" href="namespacetdm.html#a644d3de5f1ca2eaa628196afcfbadef4">dim_t</a> j, <a class="code hl_struct" href="structtdm_1_1mat.html">mat<N, N, T></a>& output) {</div>
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<div class="line"><a id="l00073" name="l00073"></a><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 < dimensions; ++inRow) {</div>
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<div class="line"><a id="l00074" name="l00074"></a><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 < dimensions; ++inCol) {</div>
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<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span> <span class="keywordflow">if</span> ((inRow != i) && (inCol != j)) {</div>
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<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> output(outRow, outCol) = input(inRow, inCol);</div>
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<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span> ++outCol;</div>
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<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span> <span class="keywordflow">if</span> (outCol == (dimensions - <span class="keyword">static_cast<</span><a class="code hl_typedef" href="namespacetdm.html#a644d3de5f1ca2eaa628196afcfbadef4">dim_t</a><span class="keyword">></span>(1))) {</div>
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<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span> outCol = {};</div>
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<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span> ++outRow;</div>
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<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span> }</div>
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<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span> }</div>
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<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> }</div>
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<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span> }</div>
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<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span>}</div>
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<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span> </div>
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<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span><span class="keyword">template</span><dim_t N, <span class="keyword">typename</span> T></div>
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<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"><a class="line" href="namespacetdm_1_1impl.html#abb27bdfe1717ef57f4dcd7cba4ab4cbb"> 88</a></span><span class="keyword">inline</span> T <a class="code hl_function" href="namespacetdm_1_1impl.html#abb27bdfe1717ef57f4dcd7cba4ab4cbb">determinant</a>(<span class="keyword">const</span> <a class="code hl_struct" href="structtdm_1_1mat.html">mat<N, N, T></a>& m, <a class="code hl_typedef" href="namespacetdm.html#a644d3de5f1ca2eaa628196afcfbadef4">dim_t</a> dimensions) {</div>
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<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span> <span class="keywordflow">if</span> (dimensions == <span class="keyword">static_cast<</span><a class="code hl_typedef" href="namespacetdm.html#a644d3de5f1ca2eaa628196afcfbadef4">dim_t</a><span class="keyword">></span>(1)) {</div>
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<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span> <span class="keywordflow">return</span> m(0, 0);</div>
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<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span> }</div>
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<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span> </div>
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<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span> T result{};</div>
|
||
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<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span> <a class="code hl_struct" href="structtdm_1_1mat.html">mat<N, N, T></a> temp;</div>
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<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> <span class="keyword">auto</span> sign = <span class="keyword">static_cast<</span>T<span class="keyword">></span>(1);</div>
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<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespacetdm.html#a644d3de5f1ca2eaa628196afcfbadef4">dim_t</a> i{};</div>
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<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span> <span class="keywordflow">for</span> (<a class="code hl_typedef" href="namespacetdm.html#a644d3de5f1ca2eaa628196afcfbadef4">dim_t</a> j{}; j < dimensions; ++j) {</div>
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<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span> <a class="code hl_function" href="namespacetdm_1_1impl.html#a8b9bffce0b1b01437454596d529e020a">minor</a>(m, dimensions, i, j, temp);</div>
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||
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<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span> result += (sign * m(i, j) * <a class="code hl_function" href="namespacetdm_1_1impl.html#abb27bdfe1717ef57f4dcd7cba4ab4cbb">determinant</a>(temp, dimensions - 1));</div>
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||
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<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span> sign = -sign;</div>
|
||
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<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span> }</div>
|
||
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<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span> </div>
|
||
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<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span> <span class="keywordflow">return</span> result;</div>
|
||
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<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span>}</div>
|
||
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<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span> </div>
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||
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<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span><span class="keyword">template</span><dim_t N, <span class="keyword">typename</span> T></div>
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||
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<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"><a class="line" href="namespacetdm_1_1impl.html#a984ad92a11c06e34fc8cbd1e3bbf468f"> 107</a></span><span class="keyword">inline</span> <a class="code hl_struct" href="structtdm_1_1mat.html">mat<N, N, T></a> <a class="code hl_function" href="namespacetdm_1_1impl.html#a984ad92a11c06e34fc8cbd1e3bbf468f">adjoint</a>(<span class="keyword">const</span> <a class="code hl_struct" href="structtdm_1_1mat.html">mat<N, N, T></a>& m) {</div>
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||
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<div class="line"><a id="l00108" name="l00108"></a><span class="lineno"> 108</span> <span class="keywordflow">if</span> (m.rows() == <span class="keyword">static_cast<</span><a class="code hl_typedef" href="namespacetdm.html#a644d3de5f1ca2eaa628196afcfbadef4">dim_t</a><span class="keyword">></span>(1)) {</div>
|
||
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<div class="line"><a id="l00109" name="l00109"></a><span class="lineno"> 109</span> <span class="keywordflow">return</span> <a class="code hl_struct" href="structtdm_1_1mat.html">mat<N, N, T></a>{<span class="keyword">static_cast<</span>T<span class="keyword">></span>(1)};</div>
|
||
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<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"> 110</span> }</div>
|
||
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<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span> </div>
|
||
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<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span> <a class="code hl_struct" href="structtdm_1_1mat.html">mat<N, N, T></a> result;</div>
|
||
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|
<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span> <a class="code hl_struct" href="structtdm_1_1mat.html">mat<N, N, T></a> temp;</div>
|
||
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<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span> <span class="keywordflow">for</span> (<a class="code hl_typedef" href="namespacetdm.html#a644d3de5f1ca2eaa628196afcfbadef4">dim_t</a> row{}; row < m.rows(); ++row) {</div>
|
||
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<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"> 115</span> <span class="keywordflow">for</span> (<a class="code hl_typedef" href="namespacetdm.html#a644d3de5f1ca2eaa628196afcfbadef4">dim_t</a> col{}; col < m.columns(); ++col) {</div>
|
||
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<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"> 116</span> <a class="code hl_function" href="namespacetdm_1_1impl.html#a8b9bffce0b1b01437454596d529e020a">minor</a>(m, N, row, col, temp);</div>
|
||
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|
<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"> 117</span> <span class="keyword">const</span> T sign = <span class="keyword">static_cast<</span>T<span class="keyword">></span>((row + col) % 2u == 0u ? 1 : -1);</div>
|
||
|
|
<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span> result(col, row) = (sign * <a class="code hl_function" href="namespacetdm_1_1impl.html#abb27bdfe1717ef57f4dcd7cba4ab4cbb">determinant</a>(temp, N - 1));</div>
|
||
|
|
<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</span> }</div>
|
||
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|
<div class="line"><a id="l00120" name="l00120"></a><span class="lineno"> 120</span> }</div>
|
||
|
|
<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"> 121</span> <span class="keywordflow">return</span> result;</div>
|
||
|
|
<div class="line"><a id="l00122" name="l00122"></a><span class="lineno"> 122</span>}</div>
|
||
|
|
<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"> 123</span> </div>
|
||
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|
<div class="line"><a id="l00124" name="l00124"></a><span class="lineno"> 124</span><span class="preprocessor">#pragma pop_macro("minor"</span>)</div>
|
||
|
|
<div class="line"><a id="l00125" name="l00125"></a><span class="lineno"> 125</span> </div>
|
||
|
|
<div class="line"><a id="l00126" name="l00126"></a><span class="lineno"> 126</span>} <span class="comment">// namespace impl</span></div>
|
||
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<div class="line"><a id="l00127" name="l00127"></a><span class="lineno"> 127</span> </div>
|
||
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<div class="line"><a id="l00128" name="l00128"></a><span class="lineno"> 128</span><span class="keyword">template</span><dim_t N, <span class="keyword">typename</span> T></div>
|
||
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<div class="line"><a id="l00129" name="l00129"></a><span class="lineno"><a class="line" href="namespacetdm.html#a8b9006c1e5787cd89b7da5bdb8749ba0"> 129</a></span><span class="keyword">inline</span> T <a class="code hl_function" href="namespacetdm.html#a8b9006c1e5787cd89b7da5bdb8749ba0">determinant</a>(<span class="keyword">const</span> <a class="code hl_struct" href="structtdm_1_1mat.html">mat<N, N, T></a>& m) {</div>
|
||
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|
<div class="line"><a id="l00130" name="l00130"></a><span class="lineno"> 130</span> <span class="keywordflow">return</span> <a class="code hl_function" href="namespacetdm_1_1impl.html#abb27bdfe1717ef57f4dcd7cba4ab4cbb">impl::determinant</a>(m, N);</div>
|
||
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|
<div class="line"><a id="l00131" name="l00131"></a><span class="lineno"> 131</span>}</div>
|
||
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|
<div class="line"><a id="l00132" name="l00132"></a><span class="lineno"> 132</span> </div>
|
||
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<div class="line"><a id="l00133" name="l00133"></a><span class="lineno"> 133</span><span class="keyword">template</span><dim_t N, <span class="keyword">typename</span> T></div>
|
||
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<div class="line"><a id="l00134" name="l00134"></a><span class="lineno"><a class="line" href="namespacetdm.html#af6249949ec4da22bf7b907f2751efcaa"> 134</a></span><span class="keyword">inline</span> <a class="code hl_struct" href="structtdm_1_1mat.html">mat<N, N, T></a> <a class="code hl_function" href="namespacetdm.html#af6249949ec4da22bf7b907f2751efcaa">inverse</a>(<span class="keyword">const</span> <a class="code hl_struct" href="structtdm_1_1mat.html">mat<N, N, T></a>& m) {</div>
|
||
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<div class="line"><a id="l00135" name="l00135"></a><span class="lineno"> 135</span> T det = <a class="code hl_function" href="namespacetdm.html#a8b9006c1e5787cd89b7da5bdb8749ba0">determinant</a>(m);</div>
|
||
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<div class="line"><a id="l00136" name="l00136"></a><span class="lineno"> 136</span> <span class="keywordflow">if</span> (det == T{}) {</div>
|
||
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|
<div class="line"><a id="l00137" name="l00137"></a><span class="lineno"> 137</span> <span class="keywordflow">return</span> {};</div>
|
||
|
|
<div class="line"><a id="l00138" name="l00138"></a><span class="lineno"> 138</span> }</div>
|
||
|
|
<div class="line"><a id="l00139" name="l00139"></a><span class="lineno"> 139</span> </div>
|
||
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|
<div class="line"><a id="l00140" name="l00140"></a><span class="lineno"> 140</span> <a class="code hl_struct" href="structtdm_1_1mat.html">mat<N, N, T></a> adj = <a class="code hl_function" href="namespacetdm_1_1impl.html#a984ad92a11c06e34fc8cbd1e3bbf468f">impl::adjoint</a>(m);</div>
|
||
|
|
<div class="line"><a id="l00141" name="l00141"></a><span class="lineno"> 141</span> <a class="code hl_struct" href="structtdm_1_1mat.html">mat<N, N, T></a> inv;</div>
|
||
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<div class="line"><a id="l00142" name="l00142"></a><span class="lineno"> 142</span> <span class="keywordflow">for</span> (<a class="code hl_typedef" href="namespacetdm.html#a644d3de5f1ca2eaa628196afcfbadef4">dim_t</a> row{}; row < m.rows(); ++row) {</div>
|
||
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|
<div class="line"><a id="l00143" name="l00143"></a><span class="lineno"> 143</span> <span class="keywordflow">for</span> (<a class="code hl_typedef" href="namespacetdm.html#a644d3de5f1ca2eaa628196afcfbadef4">dim_t</a> col{}; col < m.columns(); ++col) {</div>
|
||
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<div class="line"><a id="l00144" name="l00144"></a><span class="lineno"> 144</span> inv(row, col) = adj(row, col) / det;</div>
|
||
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<div class="line"><a id="l00145" name="l00145"></a><span class="lineno"> 145</span> }</div>
|
||
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|
<div class="line"><a id="l00146" name="l00146"></a><span class="lineno"> 146</span> }</div>
|
||
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|
<div class="line"><a id="l00147" name="l00147"></a><span class="lineno"> 147</span> <span class="keywordflow">return</span> inv;</div>
|
||
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<div class="line"><a id="l00148" name="l00148"></a><span class="lineno"> 148</span>}</div>
|
||
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<div class="line"><a id="l00149" name="l00149"></a><span class="lineno"> 149</span> </div>
|
||
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<div class="line"><a id="l00150" name="l00150"></a><span class="lineno"> 150</span><span class="keyword">template</span><dim_t N, <span class="keyword">typename</span> T></div>
|
||
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<div class="line"><a id="l00151" name="l00151"></a><span class="lineno"><a class="line" href="namespacetdm.html#af2af6050315345aa0db49cc5f77ba33f"> 151</a></span><span class="keyword">inline</span> T <a class="code hl_function" href="namespacetdm.html#af2af6050315345aa0db49cc5f77ba33f">trace</a>(<span class="keyword">const</span> <a class="code hl_struct" href="structtdm_1_1mat.html">mat<N, N, T></a>& m) {</div>
|
||
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<div class="line"><a id="l00152" name="l00152"></a><span class="lineno"> 152</span> T <a class="code hl_function" href="namespacetdm.html#af2af6050315345aa0db49cc5f77ba33f">trace</a>{0};</div>
|
||
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<div class="line"><a id="l00153" name="l00153"></a><span class="lineno"> 153</span> <span class="keywordflow">for</span> (<a class="code hl_typedef" href="namespacetdm.html#a644d3de5f1ca2eaa628196afcfbadef4">dim_t</a> row{}; row < m.rows(); ++row) {</div>
|
||
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<div class="line"><a id="l00154" name="l00154"></a><span class="lineno"> 154</span> <a class="code hl_function" href="namespacetdm.html#af2af6050315345aa0db49cc5f77ba33f">trace</a> += m(row, row);</div>
|
||
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<div class="line"><a id="l00155" name="l00155"></a><span class="lineno"> 155</span> }</div>
|
||
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<div class="line"><a id="l00156" name="l00156"></a><span class="lineno"> 156</span> <span class="keywordflow">return</span> <a class="code hl_function" href="namespacetdm.html#af2af6050315345aa0db49cc5f77ba33f">trace</a>;</div>
|
||
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<div class="line"><a id="l00157" name="l00157"></a><span class="lineno"> 157</span>}</div>
|
||
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<div class="line"><a id="l00158" name="l00158"></a><span class="lineno"> 158</span> </div>
|
||
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|
<div class="line"><a id="l00159" name="l00159"></a><span class="lineno"> 159</span>} <span class="comment">// namespace tdm</span></div>
|
||
|
|
<div class="ttc" id="aMat_8h_html"><div class="ttname"><a href="Mat_8h.html">Mat.h</a></div></div>
|
||
|
|
<div class="ttc" id="aTypes_8h_html"><div class="ttname"><a href="Types_8h.html">Types.h</a></div></div>
|
||
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|
<div class="ttc" id="aVec_8h_html"><div class="ttname"><a href="Vec_8h.html">Vec.h</a></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< N, N, T > &input, dim_t dimensions, dim_t i, dim_t j, mat< N, N, T > &output)</div><div class="ttdef"><b>Definition:</b> Computations.h:72</div></div>
|
||
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<div class="ttc" id="anamespacetdm_1_1impl_html_a984ad92a11c06e34fc8cbd1e3bbf468f"><div class="ttname"><a href="namespacetdm_1_1impl.html#a984ad92a11c06e34fc8cbd1e3bbf468f">tdm::impl::adjoint</a></div><div class="ttdeci">mat< N, N, T > adjoint(const mat< N, N, T > &m)</div><div class="ttdef"><b>Definition:</b> Computations.h:107</div></div>
|
||
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<div class="ttc" id="anamespacetdm_1_1impl_html_abb27bdfe1717ef57f4dcd7cba4ab4cbb"><div class="ttname"><a href="namespacetdm_1_1impl.html#abb27bdfe1717ef57f4dcd7cba4ab4cbb">tdm::impl::determinant</a></div><div class="ttdeci">T determinant(const mat< N, N, T > &m, dim_t dimensions)</div><div class="ttdef"><b>Definition:</b> Computations.h:88</div></div>
|
||
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<div class="ttc" id="anamespacetdm_html"><div class="ttname"><a href="namespacetdm.html">tdm</a></div><div class="ttdef"><b>Definition:</b> Computations.h:19</div></div>
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<div class="ttc" id="anamespacetdm_html_a19d3e09b0d8eea38abc06732ed3775a7"><div class="ttname"><a href="namespacetdm.html#a19d3e09b0d8eea38abc06732ed3775a7">tdm::normalize</a></div><div class="ttdeci">std::enable_if< std::is_floating_point< T >::value, vec< L, T > >::type normalize(vec< L, T > v)</div><div class="ttdef"><b>Definition:</b> Computations.h:51</div></div>
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<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>
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<div class="ttc" id="anamespacetdm_html_a789cefc95e9408211615da063d75b751"><div class="ttname"><a href="namespacetdm.html#a789cefc95e9408211615da063d75b751">tdm::dot</a></div><div class="ttdeci">T dot(const vec< L, T > &lhs, const vec< L, T > &rhs)</div><div class="ttdef"><b>Definition:</b> Computations.h:31</div></div>
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<div class="ttc" id="anamespacetdm_html_a7e856a88d452831ae93e3f22c03b3e83"><div class="ttname"><a href="namespacetdm.html#a7e856a88d452831ae93e3f22c03b3e83">tdm::negate</a></div><div class="ttdeci">vec< L, T > negate(vec< L, T > v)</div><div class="ttdef"><b>Definition:</b> Computations.h:36</div></div>
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<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< N, N, T > &m)</div><div class="ttdef"><b>Definition:</b> Computations.h:129</div></div>
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<div class="ttc" id="anamespacetdm_html_aa46734d11a9299f44130a29409c2963f"><div class="ttname"><a href="namespacetdm.html#aa46734d11a9299f44130a29409c2963f">tdm::length</a></div><div class="ttdeci">std::enable_if< std::is_floating_point< T >::value, T >::type length(const vec< L, T > &v)</div><div class="ttdef"><b>Definition:</b> Computations.h:46</div></div>
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<div class="ttc" id="anamespacetdm_html_ab7a32e9e75bbffd9cda585d73d313de8"><div class="ttname"><a href="namespacetdm.html#ab7a32e9e75bbffd9cda585d73d313de8">tdm::cross</a></div><div class="ttdeci">vec3< T > cross(const vec3< T > &lhs, const vec3< T > &rhs)</div><div class="ttdef"><b>Definition:</b> Computations.h:22</div></div>
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<div class="ttc" id="anamespacetdm_html_ad5abf5602d97e3df89baa5700086e9cd"><div class="ttname"><a href="namespacetdm.html#ad5abf5602d97e3df89baa5700086e9cd">tdm::transpose</a></div><div class="ttdeci">mat< C, R, T > transpose(const mat< R, C, T > &m)</div><div class="ttdef"><b>Definition:</b> Computations.h:57</div></div>
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<div class="ttc" id="anamespacetdm_html_af2af6050315345aa0db49cc5f77ba33f"><div class="ttname"><a href="namespacetdm.html#af2af6050315345aa0db49cc5f77ba33f">tdm::trace</a></div><div class="ttdeci">T trace(const mat< N, N, T > &m)</div><div class="ttdef"><b>Definition:</b> Computations.h:151</div></div>
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<div class="ttc" id="anamespacetdm_html_af6249949ec4da22bf7b907f2751efcaa"><div class="ttname"><a href="namespacetdm.html#af6249949ec4da22bf7b907f2751efcaa">tdm::inverse</a></div><div class="ttdeci">mat< N, N, T > inverse(const mat< N, N, T > &m)</div><div class="ttdef"><b>Definition:</b> Computations.h:134</div></div>
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<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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<div class="ttc" id="astructtdm_1_1mat_html_a5b4b59b8794a8e4223119c64c47252dc"><div class="ttname"><a href="structtdm_1_1mat.html#a5b4b59b8794a8e4223119c64c47252dc">tdm::mat::apply</a></div><div class="ttdeci">mat & apply(F func)</div><div class="ttdef"><b>Definition:</b> Mat.h:140</div></div>
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<div class="ttc" id="astructtdm_1_1vec_html"><div class="ttname"><a href="structtdm_1_1vec.html">tdm::vec</a></div><div class="ttdef"><b>Definition:</b> Vec.h:10</div></div>
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<div class="ttc" id="astructtdm_1_1vec_html_a2b355427a69d56cf8a32539191d96c93"><div class="ttname"><a href="structtdm_1_1vec.html#a2b355427a69d56cf8a32539191d96c93">tdm::vec::length</a></div><div class="ttdeci">std::enable_if< std::is_floating_point< V >::value, V >::type length() const</div><div class="ttdef"><b>Definition:</b> Vec.h:168</div></div>
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<div class="ttc" id="astructtdm_1_1vec_html_a3f3ea73401edb017414292df5c64d4a8"><div class="ttname"><a href="structtdm_1_1vec.html#a3f3ea73401edb017414292df5c64d4a8">tdm::vec::negate</a></div><div class="ttdeci">vec & negate()</div><div class="ttdef"><b>Definition:</b> Vec.h:178</div></div>
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<div class="ttc" id="astructtdm_1_1vec_html_acd44cca051bda523e42cbfcbd26f49c9"><div class="ttname"><a href="structtdm_1_1vec.html#acd44cca051bda523e42cbfcbd26f49c9">tdm::vec::normalize</a></div><div class="ttdeci">std::enable_if< std::is_floating_point< V >::value, vec & >::type normalize()</div><div class="ttdef"><b>Definition:</b> Vec.h:174</div></div>
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