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realstealthninja
2025-05-19 11:38:33 +00:00
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db/dd3/ode__forward__euler_8cpp_source.html
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@@ -4,7 +4,7 @@
<head>
<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
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<title>TheAlgorithms/C++: numerical_methods/ode_forward_euler.cpp Source File</title>
<link rel="icon" href="../../favicon.svg" type="image/x-icon" />
@@ -60,7 +60,7 @@ window.MathJax = {
</table>
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@@ -124,13 +124,14 @@ $(function(){initNavTree('db/dd3/ode__forward__euler_8cpp_source.html','../../')
<div class="headertitle"><div class="title">ode_forward_euler.cpp</div></div>
</div><!--header-->
<div class="contents">
<a href="../../db/dd3/ode__forward__euler_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="../../db/dd3/ode__forward__euler_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="l00038" name="l00038"></a><span class="lineno"> 38</span> </div>
<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span><span class="preprocessor">#include &lt;cmath&gt;</span></div>
<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span><span class="preprocessor">#include &lt;ctime&gt;</span></div>
<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span><span class="preprocessor">#include &lt;fstream&gt;</span></div>
<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span><span class="preprocessor">#include &lt;iostream&gt;</span></div>
<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span><span class="preprocessor">#include &lt;valarray&gt;</span></div>
<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span> </div>
<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</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="../../db/dd3/ode__forward__euler_8cpp.html#abaeae8f62a018d197f0187a1c80a90fe"> 54</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="../../db/dd3/ode__forward__euler_8cpp.html#abaeae8f62a018d197f0187a1c80a90fe">problem</a>(<span class="keyword">const</span> <span class="keywordtype">double</span> &amp;x, std::valarray&lt;double&gt; *y,</div>
<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span> std::valarray&lt;double&gt; *dy) {</div>
@@ -139,14 +140,14 @@ $(function(){initNavTree('db/dd3/ode__forward__euler_8cpp_source.html','../../')
<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> (*dy)[1] = -omega * omega * (*y)[0]; <span class="comment">// y dot // NOLINT</span></div>
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span>}</div>
</div>
<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span> </div>
<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span></div>
<div class="foldopen" id="foldopen00067" data-start="{" data-end="}">
<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"><a class="line" href="../../db/dd3/ode__forward__euler_8cpp.html#af3adf7b092a87868917ee5fb4255192b"> 67</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="../../db/dd3/ode__forward__euler_8cpp.html#af3adf7b092a87868917ee5fb4255192b">exact_solution</a>(<span class="keyword">const</span> <span class="keywordtype">double</span> &amp;x, std::valarray&lt;double&gt; *y) {</div>
<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span> y[0][0] = std::cos(x);</div>
<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span> y[0][1] = -std::sin(x);</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="foldopen00086" data-start="{" data-end="}">
<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"><a class="line" href="../../d6/d60/group__ode.html#ga195d23bbdfcb80e83c9cda45c9ad5723"> 86</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="../../d6/d60/group__ode.html#ga195d23bbdfcb80e83c9cda45c9ad5723">forward_euler_step</a>(<span class="keyword">const</span> <span class="keywordtype">double</span> dx, <span class="keyword">const</span> <span class="keywordtype">double</span> x,</div>
<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span> std::valarray&lt;double&gt; *y, std::valarray&lt;double&gt; *dy) {</div>
@@ -154,7 +155,7 @@ $(function(){initNavTree('db/dd3/ode__forward__euler_8cpp_source.html','../../')
<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span> *y += *dy * dx;</div>
<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span>}</div>
</div>
<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span> </div>
<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span></div>
<div class="foldopen" id="foldopen00102" data-start="{" data-end="}">
<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"><a class="line" href="../../d6/d60/group__ode.html#gae0509f8843e2bc42de2abbd00a14b7b9"> 102</a></span><span class="keywordtype">double</span> <a class="code hl_function" href="../../d6/d60/group__ode.html#gae0509f8843e2bc42de2abbd00a14b7b9">forward_euler</a>(<span class="keywordtype">double</span> dx, <span class="keywordtype">double</span> x0, <span class="keywordtype">double</span> x_max,</div>
<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span> std::valarray&lt;double&gt; *y, <span class="keywordtype">bool</span> save_to_file = <span class="keyword">false</span>) {</div>
@@ -197,7 +198,8 @@ $(function(){initNavTree('db/dd3/ode__forward__euler_8cpp_source.html','../../')
<div class="line"><a id="l00140" name="l00140"></a><span class="lineno"> 140</span> <span class="keywordflow">return</span> <span class="keyword">static_cast&lt;</span><span class="keywordtype">double</span><span class="keyword">&gt;</span>(t2 - t1) / CLOCKS_PER_SEC;</div>
<div class="line"><a id="l00141" name="l00141"></a><span class="lineno"> 141</span>}</div>
</div>
<div class="line"><a id="l00142" name="l00142"></a><span class="lineno"> 142</span> </div>
<div class="line"><a id="l00142" name="l00142"></a><span class="lineno"> 142</span></div>
<div class="line"><a id="l00144" name="l00144"></a><span class="lineno"> 144</span></div>
<div class="foldopen" id="foldopen00153" data-start="{" data-end="}">
<div class="line"><a id="l00153" name="l00153"></a><span class="lineno"><a class="line" href="../../db/dd3/ode__forward__euler_8cpp.html#aa13517b8e5de1b75592052db7f7e237f"> 153</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="../../db/dd3/ode__forward__euler_8cpp.html#aa13517b8e5de1b75592052db7f7e237f">save_exact_solution</a>(<span class="keyword">const</span> <span class="keywordtype">double</span> &amp;X0, <span class="keyword">const</span> <span class="keywordtype">double</span> &amp;X_MAX,</div>
<div class="line"><a id="l00154" name="l00154"></a><span class="lineno"> 154</span> <span class="keyword">const</span> <span class="keywordtype">double</span> &amp;step_size,</div>
@@ -232,7 +234,7 @@ $(function(){initNavTree('db/dd3/ode__forward__euler_8cpp_source.html','../../')
<div class="line"><a id="l00183" name="l00183"></a><span class="lineno"> 183</span> fp.close();</div>
<div class="line"><a id="l00184" name="l00184"></a><span class="lineno"> 184</span>}</div>
</div>
<div class="line"><a id="l00185" name="l00185"></a><span class="lineno"> 185</span> </div>
<div class="line"><a id="l00185" name="l00185"></a><span class="lineno"> 185</span></div>
<div class="foldopen" id="foldopen00189" data-start="{" data-end="}">
<div class="line"><a id="l00189" name="l00189"></a><span class="lineno"><a class="line" href="../../db/dd3/ode__forward__euler_8cpp.html#a0ddf1224851353fc92bfbff6f499fa97"> 189</a></span><span class="keywordtype">int</span> <a class="code hl_function" href="../../dd/d1e/generate__parentheses_8cpp.html#gae66f6b31b5ad750f1fe042a706a4e3d4">main</a>(<span class="keywordtype">int</span> argc, <span class="keywordtype">char</span> *argv[]) {</div>
<div class="line"><a id="l00190" name="l00190"></a><span class="lineno"> 190</span> <span class="keywordtype">double</span> X0 = 0.f; <span class="comment">/* initial value of x0 */</span></div>
@@ -270,7 +272,7 @@ $(function(){initNavTree('db/dd3/ode__forward__euler_8cpp_source.html','../../')
<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
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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="../../db/dd3/ode__forward__euler_8cpp.html">ode_forward_euler.cpp</a></li>
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