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<title>TheAlgorithms/C++: math/approximate_pi.cpp File Reference</title>
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<div class="headertitle"><div class="title">approximate_pi.cpp File Reference</div></div>
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@@ -138,42 +126,37 @@ $(function(){initNavTree('d0/d51/approximate__pi_8cpp.html','../../'); initResiz
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Include dependency graph for approximate_pi.cpp:</div>
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<div class="center"><iframe scrolling="no" frameborder="0" src="../../d2/d27/approximate__pi_8cpp__incl.svg" width="335" height="111"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe></div>
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<p><a href="../../d0/d51/approximate__pi_8cpp_source.html">Go to the source code of this file.</a></p>
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Namespaces</h2></td></tr>
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<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">namespace  </td><td class="memItemRight" valign="bottom"><a class="el" href="../../dd/d47/namespacemath.html">math</a></td></tr>
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<tr class="memitem:math" id="r_math"><td class="memItemLeft" align="right" valign="top">namespace  </td><td class="memItemRight" valign="bottom"><a class="el" href="../../dd/d47/namespacemath.html">math</a></td></tr>
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<tr class="memdesc:dd/d47/namespacemath"><td class="mdescLeft"> </td><td class="mdescRight">for assert <br /></td></tr>
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</table><table class="memberdecls">
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Typedefs</h2></td></tr>
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<tr class="memitem:a006c8ebd11bb1e035815dc835a1a7a85" id="r_a006c8ebd11bb1e035815dc835a1a7a85"><td class="memItemLeft" align="right" valign="top">using </td><td class="memItemRight" valign="bottom"><a class="el" href="../../dd/d47/namespacemath.html#a006c8ebd11bb1e035815dc835a1a7a85">math::Point</a></td></tr>
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<tr class="memdesc:a006c8ebd11bb1e035815dc835a1a7a85"><td class="mdescLeft"> </td><td class="mdescRight">structure of points containing two numbers, x and y, such that 0 ≤ x ≤ 1 and 0 ≤ y ≤ 1. <br /></td></tr>
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<tr class="heading"><td colspan="2"><h2 id="header-func-members" class="groupheader"><a id="func-members" name="func-members"></a>
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Functions</h2></td></tr>
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<tr class="memitem:abf7f2a6d91f1ca6c89698792aea3f188" id="r_abf7f2a6d91f1ca6c89698792aea3f188"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="../../dd/d47/namespacemath.html#abf7f2a6d91f1ca6c89698792aea3f188">math::approximate_pi</a> (const std::vector< <a class="el" href="../../dd/d47/namespacemath.html#a006c8ebd11bb1e035815dc835a1a7a85">Point</a> > &pts)</td></tr>
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<tr class="memdesc:abf7f2a6d91f1ca6c89698792aea3f188"><td class="mdescLeft"> </td><td class="mdescRight">This function uses the points in a given vector 'pts' (drawn at random) to return an approximation of the number π. <br /></td></tr>
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<tr class="separator:abf7f2a6d91f1ca6c89698792aea3f188"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a483bb8ccf42aaf7375a83e91490eda1e" id="r_a483bb8ccf42aaf7375a83e91490eda1e"><td class="memItemLeft" align="right" valign="top">static void </td><td class="memItemRight" valign="bottom"><a class="el" href="#a483bb8ccf42aaf7375a83e91490eda1e">tests</a> ()</td></tr>
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<tr class="memdesc:a483bb8ccf42aaf7375a83e91490eda1e"><td class="mdescLeft"> </td><td class="mdescRight">Self-test implementations. <br /></td></tr>
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<tr class="memdesc:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="mdescLeft"> </td><td class="mdescRight">Main function. <br /></td></tr>
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</table>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
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<a name="details" id="details"></a><h2 id="header-details" class="groupheader">Detailed Description</h2>
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<div class="textblock"><p>Implementation to calculate an estimate of the <a href="https://en.wikipedia.org/wiki/File:Pi_30K.gif" target="_blank">number π (Pi)</a>. </p>
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<p>We take a random point P with coordinates (x, y) such that 0 ≤ x ≤ 1 and 0 ≤ y ≤ 1. If x² + y² ≤ 1, then the point is inside the quarter disk of radius 1, else the point is outside. We know that the probability of the point being inside the quarter disk is equal to π/4 double approx(vector<Point> &pts) which will use the points pts (drawn at random) to return an estimate of the number π </p><dl class="section note"><dt>Note</dt><dd>This implementation is better than naive recursive or iterative approach.</dd></dl>
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<dl class="section author"><dt>Author</dt><dd><a href="https://github.com/Qannaf" target="_blank">Qannaf AL-SAHMI</a> </dd></dl>
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<p class="definition">Definition in file <a class="el" href="../../d0/d51/approximate__pi_8cpp_source.html">approximate_pi.cpp</a>.</p>
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</div><h2 class="groupheader">Function Documentation</h2>
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</div><a name="doc-func-members" id="doc-func-members"></a><h2 id="header-doc-func-members" class="groupheader">Function Documentation</h2>
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<a id="ae66f6b31b5ad750f1fe042a706a4e3d4" name="ae66f6b31b5ad750f1fe042a706a4e3d4"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#ae66f6b31b5ad750f1fe042a706a4e3d4">◆ </a></span>main()</h2>
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<td class="memname">static void tests </td>
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<td class="memname">void tests </td>
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<td>(</td>
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