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Documentation for 9a58357372
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@@ -91,16 +91,24 @@ $(document).ready(function(){initNavTree('dd/d47/namespacemath.html','../../');
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<div class="header">
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<div class="summary">
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<a href="#nested-classes">Classes</a> |
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<a href="#func-members">Functions</a> </div>
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<div class="headertitle"><div class="title">math Namespace Reference</div></div>
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</div><!--header-->
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<div class="contents">
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<p>for M_PI definition and pow()
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<p>for <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/random/rand.html">std::rand</a>
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<a href="../../dd/d47/namespacemath.html#details">More...</a></p>
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<table class="memberdecls">
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="nested-classes" name="nested-classes"></a>
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Classes</h2></td></tr>
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<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct  </td><td class="memItemRight" valign="bottom"><a class="el" href="../../de/d4f/structmath_1_1_point.html">Point</a></td></tr>
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<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
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</table><table class="memberdecls">
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<tr class="heading"><td colspan="2"><h2 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"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="../../dd/d47/namespacemath.html#abf7f2a6d91f1ca6c89698792aea3f188">approximate_pi</a> (const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="el" href="../../de/d4f/structmath_1_1_point.html">Point</a> > &pts)</td></tr>
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<tr class="separator:abf7f2a6d91f1ca6c89698792aea3f188"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a971ce57e368f2f631cf1f4ff3f864049"><td class="memTemplParams" colspan="2">template<typename T > </td></tr>
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<tr class="memitem:a971ce57e368f2f631cf1f4ff3f864049"><td class="memTemplItemLeft" align="right" valign="top">T </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../dd/d47/namespacemath.html#a971ce57e368f2f631cf1f4ff3f864049">square_area</a> (T length)</td></tr>
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<tr class="memdesc:a971ce57e368f2f631cf1f4ff3f864049"><td class="mdescLeft"> </td><td class="mdescRight">area of a <a href="https://en.wikipedia.org/wiki/Square" target="_blank">square</a> (l * l) <a href="../../dd/d47/namespacemath.html#a971ce57e368f2f631cf1f4ff3f864049">More...</a><br /></td></tr>
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@@ -188,7 +196,7 @@ Functions</h2></td></tr>
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<tr class="separator:abde24398be43538c62e4a496968e60ca"><td class="memSeparator" colspan="2"> </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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<div class="textblock"><p >for M_PI definition and pow() </p>
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<div class="textblock"><p >for <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/random/rand.html">std::rand</a> </p>
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<p >for <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a> and <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a></p>
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<p >for <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a></p>
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<p >for io operations</p>
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@@ -197,6 +205,9 @@ Functions</h2></td></tr>
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<p >Math algorithms.</p>
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<p >for <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a></p>
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<p >for IO operations</p>
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<p >for M_PI definition and pow()</p>
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<p >for IO operations for <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a></p>
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<p >Mathematical algorithms</p>
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<p >for assert for uint16_t datatype for IO operations</p>
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<p >Mathematical algorithms</p>
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<p >for assert for int32_t type for atoi</p>
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@@ -224,6 +235,49 @@ Algorithm</h3>
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<p >for assert for <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/pow.html">std::pow</a> for <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/types/integer.html">std::uint32_t</a></p>
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<p >Mathematical algorithms </p>
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</div><h2 class="groupheader">Function Documentation</h2>
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<a id="abf7f2a6d91f1ca6c89698792aea3f188" name="abf7f2a6d91f1ca6c89698792aea3f188"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#abf7f2a6d91f1ca6c89698792aea3f188">◆ </a></span>approximate_pi()</h2>
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<div class="memitem">
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<div class="memproto">
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<table class="memname">
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<tr>
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<td class="memname">double math::approximate_pi </td>
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<td>(</td>
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<td class="paramtype">const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="el" href="../../de/d4f/structmath_1_1_point.html">Point</a> > & </td>
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<td class="paramname"><em>pts</em></td><td>)</td>
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<td></td>
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</tr>
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</table>
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</div><div class="memdoc">
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<p >This function use the points pts (drawn at random) to return an estimate of the number π using the given points </p><dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramname">pts</td><td>Each item of pts contains a point. A point is represented by a structure containing exactly two numbers, respectively x and y such that 0 ≤ x ≤ 1 and 0 ≤ y ≤ 1. pts always contains at least one item </td></tr>
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</table>
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</dd>
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</dl>
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<dl class="section return"><dt>Returns</dt><dd>an estimate of the number π</dd></dl>
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<div class="fragment"><div class="line"><span class="lineno"> 35</span> {<span class="comment"></span></div>
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<div class="line"><span class="lineno"> 36</span><span class="comment"> /**</span></div>
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<div class="line"><span class="lineno"> 37</span><span class="comment"> * This function use the points pts (drawn at random) to return an estimate of the number π using the given points</span></div>
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<div class="line"><span class="lineno"> 38</span><span class="comment"> * @param pts Each item of pts contains a point. A point is represented by a structure containing exactly </span></div>
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<div class="line"><span class="lineno"> 39</span><span class="comment"> * two numbers, respectively x and y such that 0 ≤ x ≤ 1 and 0 ≤ y ≤ 1. </span></div>
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<div class="line"><span class="lineno"> 40</span><span class="comment"> * pts always contains at least one item</span></div>
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<div class="line"><span class="lineno"> 41</span><span class="comment"> * @return an estimate of the number π</span></div>
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<div class="line"><span class="lineno"> 42</span><span class="comment"> */</span></div>
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<div class="line"><span class="lineno"> 43</span> {</div>
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<div class="line"><span class="lineno"> 44</span> <span class="keywordtype">int</span> count =0; <span class="comment">// Points in cercle</span></div>
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<div class="line"><span class="lineno"> 45</span> <span class="keywordflow">for</span>(<a class="code hl_struct" href="../../de/d4f/structmath_1_1_point.html">Point</a> p:pts)</div>
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<div class="line"><span class="lineno"> 46</span> <span class="keywordflow">if</span>(p.x * p.x + p.y*p.y <= 1)</div>
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<div class="line"><span class="lineno"> 47</span> ++count;</div>
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<div class="line"><span class="lineno"> 48</span> </div>
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<div class="line"><span class="lineno"> 49</span> <span class="keywordflow">return</span> 4.0*count/pts.size();</div>
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<div class="line"><span class="lineno"> 50</span> }</div>
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<div class="line"><span class="lineno"> 51</span> }</div>
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<div class="ttc" id="astructmath_1_1_point_html"><div class="ttname"><a href="../../de/d4f/structmath_1_1_point.html">math::Point</a></div><div class="ttdef"><b>Definition:</b> approximate_pi.cpp:30</div></div>
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</div><!-- fragment -->
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</div>
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</div>
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<a id="ae1ca505751f5a6d3977b86372cfe75ea" name="ae1ca505751f5a6d3977b86372cfe75ea"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#ae1ca505751f5a6d3977b86372cfe75ea">◆ </a></span>binomialCoeffSum()</h2>
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@@ -27,6 +27,8 @@ var namespacemath =
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[ "cross", "df/d66/vector__cross__product_8cpp.html#a225732399c5c076976eae5b180a9f8c9", null ],
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[ "mag", "df/d66/vector__cross__product_8cpp.html#a4b2a9757a87c18e1642d72410ecfaba8", null ]
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] ],
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[ "Point", "de/d4f/structmath_1_1_point.html", null ],
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[ "approximate_pi", "dd/d47/namespacemath.html#abf7f2a6d91f1ca6c89698792aea3f188", null ],
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[ "binomialCoeffSum", "dd/d47/namespacemath.html#ae1ca505751f5a6d3977b86372cfe75ea", null ],
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[ "circle_area", "dd/d47/namespacemath.html#a40e36c67da78d2131408c57ee091ad75", null ],
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[ "cone_volume", "dd/d47/namespacemath.html#a3fe35440c27758ecc2287e08217d63a7", null ],
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