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realstealthninja
2025-05-19 11:38:33 +00:00
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2829 changed files with 30266 additions and 21669 deletions

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@@ -4,7 +4,7 @@
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<title>TheAlgorithms/C++: numerical_methods/durand_kerner_roots.cpp Source File</title>
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@@ -60,7 +60,7 @@ window.MathJax = {
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@@ -124,7 +124,8 @@ $(function(){initNavTree('da/df2/durand__kerner__roots_8cpp_source.html','../../
<div class="headertitle"><div class="title">durand_kerner_roots.cpp</div></div>
</div><!--header-->
<div class="contents">
<a href="../../da/df2/durand__kerner__roots_8cpp.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="../../da/df2/durand__kerner__roots_8cpp.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="l00031" name="l00031"></a><span class="lineno"> 31</span> </div>
<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span><span class="preprocessor">#include &lt;algorithm&gt;</span></div>
<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span><span class="preprocessor">#include &lt;cassert&gt;</span></div>
<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span><span class="preprocessor">#include &lt;cmath&gt;</span></div>
@@ -139,7 +140,8 @@ $(function(){initNavTree('da/df2/durand__kerner__roots_8cpp_source.html','../../
<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span><span class="preprocessor">#include &lt;omp.h&gt;</span></div>
<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span><span class="preprocessor">#endif</span></div>
<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span> </div>
<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"><a class="line" href="../../da/df2/durand__kerner__roots_8cpp.html#af270a96662132d0385cb6b4637c5a689"> 46</a></span><span class="preprocessor">#define ACCURACY 1e-10 </span></div>
<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"><a class="line" href="../../da/df2/durand__kerner__roots_8cpp.html#af270a96662132d0385cb6b4637c5a689"> 46</a></span><span class="preprocessor">#define ACCURACY 1e-10 </span><span class="preprocessor"></span></div>
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span></div>
<div class="foldopen" id="foldopen00054" data-start="{" data-end="}">
<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"><a class="line" href="../../da/df2/durand__kerner__roots_8cpp.html#ae2ab49ba1969d7a5988f9bc2c8924569"> 54</a></span>std::complex&lt;double&gt; <a class="code hl_function" href="../../da/df2/durand__kerner__roots_8cpp.html#ae2ab49ba1969d7a5988f9bc2c8924569">poly_function</a>(<span class="keyword">const</span> std::valarray&lt;double&gt; &amp;coeffs,</div>
<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span> std::complex&lt;double&gt; x) {</div>
@@ -159,7 +161,7 @@ $(function(){initNavTree('da/df2/durand__kerner__roots_8cpp_source.html','../../
<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span> <span class="keywordflow">return</span> std::complex&lt;double&gt;(real, imag);</div>
<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span>}</div>
</div>
<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span> </div>
<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span></div>
<div class="foldopen" id="foldopen00077" data-start="{" data-end="}">
<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"><a class="line" href="../../da/df2/durand__kerner__roots_8cpp.html#a90219e35062007d1f1b68e9af071ab5c"> 77</a></span><span class="keyword">const</span> <span class="keywordtype">char</span> *<a class="code hl_function" href="../../da/df2/durand__kerner__roots_8cpp.html#a90219e35062007d1f1b68e9af071ab5c">complex_str</a>(<span class="keyword">const</span> std::complex&lt;double&gt; &amp;x) {</div>
<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span><span class="preprocessor">#define MAX_BUFF_SIZE 50</span></div>
@@ -170,7 +172,7 @@ $(function(){initNavTree('da/df2/durand__kerner__roots_8cpp_source.html','../../
<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> <span class="keywordflow">return</span> msg;</div>
<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span>}</div>
</div>
<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span> </div>
<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span></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="../../da/df2/durand__kerner__roots_8cpp.html#a024b8bc4755863315456d573a6732377"> 92</a></span><span class="keywordtype">bool</span> <a class="code hl_function" href="../../da/df2/durand__kerner__roots_8cpp.html#a024b8bc4755863315456d573a6732377">check_termination</a>(<span class="keywordtype">long</span> <span class="keywordtype">double</span> delta) {</div>
<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span> <span class="keyword">static</span> <span class="keywordtype">long</span> <span class="keywordtype">double</span> past_delta = INFINITY;</div>
@@ -180,7 +182,7 @@ $(function(){initNavTree('da/df2/durand__kerner__roots_8cpp_source.html','../../
<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span>}</div>
</div>
<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span> </div>
<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span></div>
<div class="foldopen" id="foldopen00110" data-start="{" data-end="}">
<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"><a class="line" href="../../da/df2/durand__kerner__roots_8cpp.html#a2c35b320ace8677f9b331faf94f8b2fd"> 110</a></span>std::pair&lt;uint32_t, double&gt; <a class="code hl_function" href="../../da/df2/durand__kerner__roots_8cpp.html#a2c35b320ace8677f9b331faf94f8b2fd">durand_kerner_algo</a>(</div>
<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span> <span class="keyword">const</span> std::valarray&lt;double&gt; &amp;coeffs,</div>
@@ -276,7 +278,7 @@ $(function(){initNavTree('da/df2/durand__kerner__roots_8cpp_source.html','../../
<div class="line"><a id="l00201" name="l00201"></a><span class="lineno"> 201</span> <span class="keywordflow">return</span> std::pair&lt;uint32_t, long double&gt;(iter, tol_condition);</div>
<div class="line"><a id="l00202" name="l00202"></a><span class="lineno"> 202</span>}</div>
</div>
<div class="line"><a id="l00203" name="l00203"></a><span class="lineno"> 203</span> </div>
<div class="line"><a id="l00203" name="l00203"></a><span class="lineno"> 203</span></div>
<div class="foldopen" id="foldopen00208" data-start="{" data-end="}">
<div class="line"><a id="l00208" name="l00208"></a><span class="lineno"><a class="line" href="../../da/df2/durand__kerner__roots_8cpp.html#a1440a7779ac56f47a3f355ce4a8c7da0"> 208</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="../../da/df2/durand__kerner__roots_8cpp.html#a1440a7779ac56f47a3f355ce4a8c7da0">test1</a>() {</div>
<div class="line"><a id="l00209" name="l00209"></a><span class="lineno"> 209</span> <span class="keyword">const</span> std::valarray&lt;double&gt; coeffs = {1, 0, 4}; <span class="comment">// x^2 - 2 = 0</span></div>
@@ -309,7 +311,7 @@ $(function(){initNavTree('da/df2/durand__kerner__roots_8cpp_source.html','../../
<div class="line"><a id="l00236" name="l00236"></a><span class="lineno"> 236</span> &lt;&lt; <span class="stringliteral">&quot;\n&quot;</span>;</div>
<div class="line"><a id="l00237" name="l00237"></a><span class="lineno"> 237</span>}</div>
</div>
<div class="line"><a id="l00238" name="l00238"></a><span class="lineno"> 238</span> </div>
<div class="line"><a id="l00238" name="l00238"></a><span class="lineno"> 238</span></div>
<div class="foldopen" id="foldopen00243" data-start="{" data-end="}">
<div class="line"><a id="l00243" name="l00243"></a><span class="lineno"><a class="line" href="../../da/df2/durand__kerner__roots_8cpp.html#a0283886819c7c140a023582b7269e2d0"> 243</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="../../da/df2/durand__kerner__roots_8cpp.html#a0283886819c7c140a023582b7269e2d0">test2</a>() {</div>
<div class="line"><a id="l00244" name="l00244"></a><span class="lineno"> 244</span> <span class="keyword">const</span> std::valarray&lt;double&gt; coeffs = {<span class="comment">// 0.015625 x^3 - 1 = 0</span></div>
@@ -425,7 +427,7 @@ $(function(){initNavTree('da/df2/durand__kerner__roots_8cpp_source.html','../../
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