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<title>TheAlgorithms/C++: numerical_methods/bisection_method.cpp File Reference</title>
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@@ -153,7 +153,7 @@ Macros</h2></td></tr>
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Functions</h2></td></tr>
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<tr class="memitem:a2003b5b2dcfff0769b957ab5c968b03d" id="r_a2003b5b2dcfff0769b957ab5c968b03d"><td class="memItemLeft" align="right" valign="top">static double </td><td class="memItemRight" valign="bottom"><a class="el" href="#a2003b5b2dcfff0769b957ab5c968b03d">eq</a> (double i)</td></tr>
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<tr class="separator:a2003b5b2dcfff0769b957ab5c968b03d"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a1ab31b90bc584c635ec159468ceed9b2" id="r_a1ab31b90bc584c635ec159468ceed9b2"><td class="memTemplParams" colspan="2">template<typename T > </td></tr>
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<tr class="memitem:a1ab31b90bc584c635ec159468ceed9b2" id="r_a1ab31b90bc584c635ec159468ceed9b2"><td class="memTemplParams" colspan="2">template<typename T> </td></tr>
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<tr class="memitem:a1ab31b90bc584c635ec159468ceed9b2"><td class="memTemplItemLeft" align="right" valign="top">int </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="#a1ab31b90bc584c635ec159468ceed9b2">sgn</a> (T val)</td></tr>
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<tr class="separator:a1ab31b90bc584c635ec159468ceed9b2"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ae66f6b31b5ad750f1fe042a706a4e3d4" id="r_ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a> ()</td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
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<div class="textblock"><p>Solve the equation \(f(x)=0\) using <a href="https://en.wikipedia.org/wiki/Bisection_method" target="_blank">bisection method</a> </p>
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<p>Given two points \(a\) and \(b\) such that \(f(a)<0\) and \(f(b)>0\), then the \((i+1)^\text{th}\) approximation is given by: </p><p class="formulaDsp">
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\[
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x_{i+1} = \frac{a_i+b_i}{2}
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\[x_{i+1} = \frac{a_i+b_i}{2}
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\]
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</p>
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<p> For the next iteration, the interval is selected as: \([a,x]\) if \(x>0\) or \([x,b]\) if \(x<0\). The Process is continued till a close enough approximation is achieved.</p>
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<td class="mlabels-right">
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<span class="mlabels"><span class="mlabel">static</span></span> </td>
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<span class="mlabels"><span class="mlabel static">static</span></span> </td>
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</tr>
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</table>
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</div><div class="memdoc">
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@@ -307,7 +306,7 @@ x_{i+1} = \frac{a_i+b_i}{2}
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<div class="memproto">
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<div class="memtemplate">
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template<typename T > </div>
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template<typename T> </div>
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<table class="memname">
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<tr>
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<td class="memname">int sgn </td>
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@@ -332,7 +331,7 @@ template<typename T > </div>
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<ul>
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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="../../d7/d6a/bisection__method_8cpp.html">bisection_method.cpp</a></li>
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<li class="footer">Generated by <a href="https://www.doxygen.org/index.html"><img class="footer" src="../../doxygen.svg" width="104" height="31" alt="doxygen"/></a> 1.12.0 </li>
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<li class="footer">Generated by <a href="https://www.doxygen.org/index.html"><img class="footer" src="../../doxygen.svg" width="104" height="31" alt="doxygen"/></a> 1.13.2 </li>
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