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@@ -158,6 +158,34 @@ Functions</h2></td></tr>
<tr class="separator:a89ab7d6c3e3ee72a8cbaa85127986185"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ae1ca505751f5a6d3977b86372cfe75ea"><td class="memItemLeft" align="right" valign="top">uint64_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../dd/d47/namespacemath.html#ae1ca505751f5a6d3977b86372cfe75ea">binomialCoeffSum</a> (uint64_t n)</td></tr>
<tr class="separator:ae1ca505751f5a6d3977b86372cfe75ea"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ae413098478fa38acaac887b7654f0725"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
<tr class="memitem:ae413098478fa38acaac887b7654f0725"><td class="memTemplItemLeft" align="right" valign="top">T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../dd/d47/namespacemath.html#ae413098478fa38acaac887b7654f0725">cube_volume</a> (T length)</td></tr>
<tr class="memdesc:ae413098478fa38acaac887b7654f0725"><td class="mdescLeft">&#160;</td><td class="mdescRight">The volume of a <a href="https://en.wikipedia.org/wiki/Cube" target="_blank">cube</a> <a href="../../dd/d47/namespacemath.html#ae413098478fa38acaac887b7654f0725">More...</a><br /></td></tr>
<tr class="separator:ae413098478fa38acaac887b7654f0725"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a3fdc74c24697ec5bb5c3698c96117c12"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
<tr class="memitem:a3fdc74c24697ec5bb5c3698c96117c12"><td class="memTemplItemLeft" align="right" valign="top">T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../dd/d47/namespacemath.html#a3fdc74c24697ec5bb5c3698c96117c12">rect_prism_volume</a> (T length, T width, T <a class="el" href="../../d8/dee/avltree_8cpp.html#ae4a66d8b0c2b0d626aea45977e358c83">height</a>)</td></tr>
<tr class="memdesc:a3fdc74c24697ec5bb5c3698c96117c12"><td class="mdescLeft">&#160;</td><td class="mdescRight">The volume of a <a href="https://en.wikipedia.org/wiki/Cuboid" target="_blank">rectangular</a> prism. <a href="../../dd/d47/namespacemath.html#a3fdc74c24697ec5bb5c3698c96117c12">More...</a><br /></td></tr>
<tr class="separator:a3fdc74c24697ec5bb5c3698c96117c12"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a3fe35440c27758ecc2287e08217d63a7"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
<tr class="memitem:a3fe35440c27758ecc2287e08217d63a7"><td class="memTemplItemLeft" align="right" valign="top">T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../dd/d47/namespacemath.html#a3fe35440c27758ecc2287e08217d63a7">cone_volume</a> (T radius, T <a class="el" href="../../d8/dee/avltree_8cpp.html#ae4a66d8b0c2b0d626aea45977e358c83">height</a>, double PI=3.14)</td></tr>
<tr class="memdesc:a3fe35440c27758ecc2287e08217d63a7"><td class="mdescLeft">&#160;</td><td class="mdescRight">The volume of a <a href="https://en.wikipedia.org/wiki/Cone" target="_blank">cone</a> <a href="../../dd/d47/namespacemath.html#a3fe35440c27758ecc2287e08217d63a7">More...</a><br /></td></tr>
<tr class="separator:a3fe35440c27758ecc2287e08217d63a7"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a2d704a7b72a6b2db8b76c8581b577b2c"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
<tr class="memitem:a2d704a7b72a6b2db8b76c8581b577b2c"><td class="memTemplItemLeft" align="right" valign="top">T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../dd/d47/namespacemath.html#a2d704a7b72a6b2db8b76c8581b577b2c">triangle_prism_volume</a> (T base, T <a class="el" href="../../d8/dee/avltree_8cpp.html#ae4a66d8b0c2b0d626aea45977e358c83">height</a>, T depth)</td></tr>
<tr class="memdesc:a2d704a7b72a6b2db8b76c8581b577b2c"><td class="mdescLeft">&#160;</td><td class="mdescRight">The volume of a <a href="https://en.wikipedia.org/wiki/Triangular_prism" target="_blank">triangular</a> prism. <a href="../../dd/d47/namespacemath.html#a2d704a7b72a6b2db8b76c8581b577b2c">More...</a><br /></td></tr>
<tr class="separator:a2d704a7b72a6b2db8b76c8581b577b2c"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a94db02b3c9e55a69ac1696f30e2f761c"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
<tr class="memitem:a94db02b3c9e55a69ac1696f30e2f761c"><td class="memTemplItemLeft" align="right" valign="top">T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../dd/d47/namespacemath.html#a94db02b3c9e55a69ac1696f30e2f761c">pyramid_volume</a> (T length, T width, T <a class="el" href="../../d8/dee/avltree_8cpp.html#ae4a66d8b0c2b0d626aea45977e358c83">height</a>)</td></tr>
<tr class="memdesc:a94db02b3c9e55a69ac1696f30e2f761c"><td class="mdescLeft">&#160;</td><td class="mdescRight">The volume of a <a href="https://en.wikipedia.org/wiki/Pyramid_(geometry)" target="_blank">pyramid</a> <a href="../../dd/d47/namespacemath.html#a94db02b3c9e55a69ac1696f30e2f761c">More...</a><br /></td></tr>
<tr class="separator:a94db02b3c9e55a69ac1696f30e2f761c"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a34d66a77c19ce9b8b3a3d14352b34551"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
<tr class="memitem:a34d66a77c19ce9b8b3a3d14352b34551"><td class="memTemplItemLeft" align="right" valign="top">T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../dd/d47/namespacemath.html#a34d66a77c19ce9b8b3a3d14352b34551">sphere_volume</a> (T radius, double PI=3.14)</td></tr>
<tr class="memdesc:a34d66a77c19ce9b8b3a3d14352b34551"><td class="mdescLeft">&#160;</td><td class="mdescRight">The volume of a <a href="https://en.wikipedia.org/wiki/Sphere" target="_blank">sphere</a> <a href="../../dd/d47/namespacemath.html#a34d66a77c19ce9b8b3a3d14352b34551">More...</a><br /></td></tr>
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<tr class="memitem:abde24398be43538c62e4a496968e60ca"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
<tr class="memitem:abde24398be43538c62e4a496968e60ca"><td class="memTemplItemLeft" align="right" valign="top">T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../dd/d47/namespacemath.html#abde24398be43538c62e4a496968e60ca">cylinder_volume</a> (T radius, T <a class="el" href="../../d8/dee/avltree_8cpp.html#ae4a66d8b0c2b0d626aea45977e358c83">height</a>, double PI=3.14)</td></tr>
<tr class="memdesc:abde24398be43538c62e4a496968e60ca"><td class="mdescLeft">&#160;</td><td class="mdescRight">The volume of a <a href="https://en.wikipedia.org/wiki/Cylinder" target="_blank">cylinder</a> <a href="../../dd/d47/namespacemath.html#abde24398be43538c62e4a496968e60ca">More...</a><br /></td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p >for M_PI definition and pow() </p>
@@ -192,6 +220,8 @@ Algorithm</h3>
<p >Mathematical algorithms</p>
<p >for assert for io operations</p>
<p >Mathematical algorithms</p>
<p >Mathematical algorithms</p>
<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>
<p >Mathematical algorithms </p>
</div><h2 class="groupheader">Function Documentation</h2>
<a id="ae1ca505751f5a6d3977b86372cfe75ea" name="ae1ca505751f5a6d3977b86372cfe75ea"></a>
@@ -256,6 +286,64 @@ template&lt;typename T &gt; </div>
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> <span class="keywordflow">return</span> M_PI * pow(radius, 2);</div>
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span>}</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a3fe35440c27758ecc2287e08217d63a7">&#9670;&nbsp;</a></span>cone_volume()</h2>
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template&lt;typename T &gt; </div>
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<td class="memname">T math::cone_volume </td>
<td>(</td>
<td class="paramtype">T&#160;</td>
<td class="paramname"><em>radius</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">T&#160;</td>
<td class="paramname"><em>height</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>PI</em> = <code>3.14</code>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>The volume of a <a href="https://en.wikipedia.org/wiki/Cone" target="_blank">cone</a> </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">radius</td><td>The radius of the base circle </td></tr>
<tr><td class="paramname">height</td><td>The height of the cone </td></tr>
<tr><td class="paramname">PI</td><td>The definition of the constant PI </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>The volume of the cone </dd></dl>
<div class="fragment"><div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span> {</div>
<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span> <span class="keywordflow">return</span> <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/pow.html">std::pow</a>(radius, 2) * PI * <a class="code hl_function" href="../../d8/dee/avltree_8cpp.html#ae4a66d8b0c2b0d626aea45977e358c83">height</a> / 3;</div>
<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span>}</div>
<div class="ttc" id="aavltree_8cpp_html_ae4a66d8b0c2b0d626aea45977e358c83"><div class="ttname"><a href="../../d8/dee/avltree_8cpp.html#ae4a66d8b0c2b0d626aea45977e358c83">height</a></div><div class="ttdeci">int height(node *root)</div><div class="ttdef"><b>Definition:</b> avltree.cpp:31</div></div>
<div class="ttc" id="apow_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/math/pow.html">std::pow</a></div><div class="ttdeci">T pow(T... args)</div></div>
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@@ -291,6 +379,44 @@ template&lt;typename T &gt; </div>
<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span> <span class="keywordflow">return</span> 6 * length * length;</div>
<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span>}</div>
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<h2 class="memtitle"><span class="permalink"><a href="#ae413098478fa38acaac887b7654f0725">&#9670;&nbsp;</a></span>cube_volume()</h2>
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template&lt;typename T &gt; </div>
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<td class="memname">T math::cube_volume </td>
<td>(</td>
<td class="paramtype">T&#160;</td>
<td class="paramname"><em>length</em></td><td>)</td>
<td></td>
</tr>
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<p>The volume of a <a href="https://en.wikipedia.org/wiki/Cube" target="_blank">cube</a> </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">length</td><td>The length of the cube </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>The volume of the cube </dd></dl>
<div class="fragment"><div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span> {</div>
<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</span> <span class="keywordflow">return</span> <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/pow.html">std::pow</a>(length, 3);</div>
<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span>}</div>
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@@ -333,7 +459,6 @@ template&lt;typename T &gt; </div>
<div class="fragment"><div class="line"><a id="l00109" name="l00109"></a><span class="lineno"> 109</span> {</div>
<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"> 110</span> <span class="keywordflow">return</span> 2 * M_PI * radius * <a class="code hl_function" href="../../d8/dee/avltree_8cpp.html#ae4a66d8b0c2b0d626aea45977e358c83">height</a> + 2 * M_PI * pow(radius, 2);</div>
<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span>}</div>
<div class="ttc" id="aavltree_8cpp_html_ae4a66d8b0c2b0d626aea45977e358c83"><div class="ttname"><a href="../../d8/dee/avltree_8cpp.html#ae4a66d8b0c2b0d626aea45977e358c83">height</a></div><div class="ttdeci">int height(node *root)</div><div class="ttdef"><b>Definition:</b> avltree.cpp:31</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#abde24398be43538c62e4a496968e60ca">&#9670;&nbsp;</a></span>cylinder_volume()</h2>
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template&lt;typename T &gt; </div>
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<td class="memname">T math::cylinder_volume </td>
<td>(</td>
<td class="paramtype">T&#160;</td>
<td class="paramname"><em>radius</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">T&#160;</td>
<td class="paramname"><em>height</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>PI</em> = <code>3.14</code>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>The volume of a <a href="https://en.wikipedia.org/wiki/Cylinder" target="_blank">cylinder</a> </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">radius</td><td>The radius of the base circle </td></tr>
<tr><td class="paramname">height</td><td>The height of the cylinder </td></tr>
<tr><td class="paramname">PI</td><td>The definition of the constant PI </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>The volume of the cylinder </dd></dl>
<div class="fragment"><div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span> {</div>
<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span> <span class="keywordflow">return</span> PI * <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/pow.html">std::pow</a>(radius, 2) * <a class="code hl_function" href="../../d8/dee/avltree_8cpp.html#ae4a66d8b0c2b0d626aea45977e358c83">height</a>;</div>
<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span>}</div>
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<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span>}</div>
<div class="ttc" id="abasic_ostream_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a></div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#a94db02b3c9e55a69ac1696f30e2f761c">&#9670;&nbsp;</a></span>pyramid_volume()</h2>
<div class="memitem">
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template&lt;typename T &gt; </div>
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<td class="memname">T math::pyramid_volume </td>
<td>(</td>
<td class="paramtype">T&#160;</td>
<td class="paramname"><em>length</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">T&#160;</td>
<td class="paramname"><em>width</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">T&#160;</td>
<td class="paramname"><em>height</em>&#160;</td>
</tr>
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<td></td>
<td>)</td>
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<p>The volume of a <a href="https://en.wikipedia.org/wiki/Pyramid_(geometry)" target="_blank">pyramid</a> </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">length</td><td>The length of the base shape (or base for triangles) </td></tr>
<tr><td class="paramname">width</td><td>The width of the base shape (or height for triangles) </td></tr>
<tr><td class="paramname">height</td><td>The height of the pyramid </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>The volume of the pyramid </dd></dl>
<div class="fragment"><div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span> {</div>
<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span> <span class="keywordflow">return</span> length * width * <a class="code hl_function" href="../../d8/dee/avltree_8cpp.html#ae4a66d8b0c2b0d626aea45977e358c83">height</a> / 3;</div>
<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span>}</div>
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<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span> <span class="keywordflow">return</span> length * width;</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a3fdc74c24697ec5bb5c3698c96117c12">&#9670;&nbsp;</a></span>rect_prism_volume()</h2>
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template&lt;typename T &gt; </div>
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<td class="memname">T math::rect_prism_volume </td>
<td>(</td>
<td class="paramtype">T&#160;</td>
<td class="paramname"><em>length</em>, </td>
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<tr>
<td class="paramkey"></td>
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<td class="paramname"><em>width</em>, </td>
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<p>The volume of a <a href="https://en.wikipedia.org/wiki/Cuboid" target="_blank">rectangular</a> prism. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">length</td><td>The length of the base rectangle </td></tr>
<tr><td class="paramname">width</td><td>The width of the base rectangle </td></tr>
<tr><td class="paramname">height</td><td>The height of the rectangular prism </td></tr>
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<dl class="section return"><dt>Returns</dt><dd>The volume of the rectangular prism </dd></dl>
<div class="fragment"><div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span> {</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a34d66a77c19ce9b8b3a3d14352b34551">&#9670;&nbsp;</a></span>sphere_volume()</h2>
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<p>The volume of a <a href="https://en.wikipedia.org/wiki/Sphere" target="_blank">sphere</a> </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
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<div class="fragment"><div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span> {</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a2d704a7b72a6b2db8b76c8581b577b2c">&#9670;&nbsp;</a></span>triangle_prism_volume()</h2>
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template&lt;typename T &gt; </div>
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<p>The volume of a <a href="https://en.wikipedia.org/wiki/Triangular_prism" target="_blank">triangular</a> prism. </p>
<dl class="params"><dt>Parameters</dt><dd>
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<tr><td class="paramname">base</td><td>The length of the base triangle </td></tr>
<tr><td class="paramname">height</td><td>The height of the base triangles </td></tr>
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<dl class="section return"><dt>Returns</dt><dd>The volume of the triangular prism </dd></dl>
<div class="fragment"><div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span> {</div>
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