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<div class="headertitle"><div class="title">composite_simpson_rule.cpp File Reference</div></div>
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<p><a href="../../d4/d18/composite__simpson__rule_8cpp_source.html">Go to the source code of this file.</a></p>
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<tr class="heading"><td colspan="2"><h2 id="header-namespaces" class="groupheader"><a id="namespaces" name="namespaces"></a>
Namespaces</h2></td></tr>
<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">namespace &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d1/de0/namespacenumerical__methods.html">numerical_methods</a></td></tr>
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<tr class="memdesc:d1/de0/namespacenumerical__methods"><td class="mdescLeft">&#160;</td><td class="mdescRight">for assert <br /></td></tr>
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<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">namespace &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d6d/namespacesimpson__method.html">simpson_method</a></td></tr>
<tr class="memitem:simpson_5Fmethod" id="r_simpson_5Fmethod"><td class="memItemLeft" align="right" valign="top">namespace &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d6d/namespacesimpson__method.html">simpson_method</a></td></tr>
<tr class="memdesc:d3/d6d/namespacesimpson__method"><td class="mdescLeft">&#160;</td><td class="mdescRight">Contains the Simpson's method implementation. <br /></td></tr>
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Functions</h2></td></tr>
<tr class="memitem:a6ccc5eddc537dc0293d0ae3d0480f068" id="r_a6ccc5eddc537dc0293d0ae3d0480f068"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a6ccc5eddc537dc0293d0ae3d0480f068">numerical_methods::simpson_method::evaluate_by_simpson</a> (std::int32_t N, double <a class="el" href="../../d1/df3/hash__search_8cpp.html#a566eaf0ffafd50bc61e644561fd27001">h</a>, double a, const std::function&lt; double(double)&gt; &amp;func)</td></tr>
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<tr class="memdesc:a4251b4df4748a0b9c43a48f61bdd2397"><td class="mdescLeft">&#160;</td><td class="mdescRight">A function f(x) that will be used to test the method. <br /></td></tr>
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<tr class="memitem:a2f67508d5f392b0321772169342c98ad" id="r_a2f67508d5f392b0321772169342c98ad"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a2f67508d5f392b0321772169342c98ad">numerical_methods::simpson_method::g</a> (double x)</td></tr>
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<tr class="memdesc:a6d8df83a6f26ce24a75d3b358b7f5b8a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Another test function. <br /></td></tr>
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<tr class="memdesc:a2ae48a41e43dc6ab11b962742349646e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Self-test implementations. <br /></td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<a name="details" id="details"></a><h2 id="header-details" class="groupheader">Detailed Description</h2>
<div class="textblock"><p>Implementation of the Composite Simpson Rule for the approximation. </p>
<p>The following is an implementation of the Composite Simpson Rule for the approximation of definite integrals. More info -&gt; wiki: <a href="https://en.wikipedia.org/wiki/Simpson%27s_rule#Composite_Simpson's_rule">https://en.wikipedia.org/wiki/Simpson%27s_rule#Composite_Simpson's_rule</a></p>
<p>The idea is to split the interval in an EVEN number N of intervals and use as interpolation points the xi for which it applies that xi = x0 + i*h, where h is a step defined as h = (b-a)/N where a and b are the first and last points of the interval of the integration [a, b].</p>
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<dl class="section author"><dt>Author</dt><dd><a href="https://github.com/ggkogkou" target="_blank">ggkogkou</a> </dd></dl>
<p class="definition">Definition in file <a class="el" href="../../d4/d18/composite__simpson__rule_8cpp_source.html">composite_simpson_rule.cpp</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a6ccc5eddc537dc0293d0ae3d0480f068">&#9670;&#160;</a></span>evaluate_by_simpson()</h2>
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