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<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/math/sum_of_binomial_coefficient.cpp" target="_blank">Sum Of Binomial Coefficient</a></li>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/math/sum_of_digits.cpp" target="_blank">Sum Of Digits</a></li>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/math/vector_cross_product.cpp" target="_blank">Vector Cross Product</a></li>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/math/volume.cpp" target="_blank">Volume</a></li>
</ul>
<h1><a class="anchor" id="autotoc_md53"></a>
Numerical Methods</h1>

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<div class="headertitle"><div class="title">volume.cpp File Reference</div></div>
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<p>Implmentations for the <a href="https://en.wikipedia.org/wiki/Volume" target="_blank">volume</a> of various 3D shapes.
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &lt;cassert&gt;</code><br />
<code>#include &lt;cmath&gt;</code><br />
<code>#include &lt;cstdint&gt;</code><br />
<code>#include &lt;iostream&gt;</code><br />
</div><div class="textblock"><div class="dynheader">
Include dependency graph for volume.cpp:</div>
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<tr class="memitem:dd/d47/namespacemath"><td class="memItemLeft" align="right" valign="top">namespace &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../dd/d47/namespacemath.html">math</a></td></tr>
<tr class="memdesc:dd/d47/namespacemath"><td class="mdescLeft">&#160;</td><td class="mdescRight">for M_PI definition and pow() <br /></td></tr>
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Functions</h2></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">math::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">math::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">math::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>
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<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">math::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">math::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">math::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>
<tr class="separator:a34d66a77c19ce9b8b3a3d14352b34551"><td class="memSeparator" colspan="2">&#160;</td></tr>
<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">math::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>
<tr class="separator:abde24398be43538c62e4a496968e60ca"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aa8dca7b867074164d5f45b0f3851269d"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../da/d39/volume_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a> ()</td></tr>
<tr class="memdesc:aa8dca7b867074164d5f45b0f3851269d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Self-test implementations. <a href="../../da/d39/volume_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">More...</a><br /></td></tr>
<tr class="separator:aa8dca7b867074164d5f45b0f3851269d"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../da/d39/volume_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a> ()</td></tr>
<tr class="memdesc:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="mdescLeft">&#160;</td><td class="mdescRight">Main function. <a href="../../da/d39/volume_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">More...</a><br /></td></tr>
<tr class="separator:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memSeparator" colspan="2">&#160;</td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p >Implmentations for the <a href="https://en.wikipedia.org/wiki/Volume" target="_blank">volume</a> of various 3D shapes. </p>
<p >The volume of a 3D shape is the amount of 3D space that the shape takes up. All shapes have a formula to get the volume of any given shape. These implementations support multiple return types.</p>
<dl class="section author"><dt>Author</dt><dd><a href="https://github.com/Focusucof" target="_blank">Focusucof</a> </dd></dl>
</div><h2 class="groupheader">Function Documentation</h2>
<a id="ae66f6b31b5ad750f1fe042a706a4e3d4" name="ae66f6b31b5ad750f1fe042a706a4e3d4"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ae66f6b31b5ad750f1fe042a706a4e3d4">&#9670;&nbsp;</a></span>main()</h2>
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<td class="memname">int main </td>
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<p>Main function. </p>
<dl class="section return"><dt>Returns</dt><dd>0 on exit </dd></dl>
<div class="fragment"><div class="line"><a id="l00235" name="l00235"></a><span class="lineno"> 235</span> {</div>
<div class="line"><a id="l00236" name="l00236"></a><span class="lineno"> 236</span> <a class="code hl_function" href="../../da/d39/volume_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// run self-test implementations</span></div>
<div class="line"><a id="l00237" name="l00237"></a><span class="lineno"> 237</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><a id="l00238" name="l00238"></a><span class="lineno"> 238</span>}</div>
<div class="ttc" id="avolume_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="../../da/d39/volume_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a></div><div class="ttdeci">static void test()</div><div class="ttdoc">Self-test implementations.</div><div class="ttdef"><b>Definition:</b> volume.cpp:112</div></div>
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Here is the call graph for this function:</div>
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<h2 class="memtitle"><span class="permalink"><a href="#aa8dca7b867074164d5f45b0f3851269d">&#9670;&nbsp;</a></span>test()</h2>
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<td class="memname">static void test </td>
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<td class="paramname"></td><td>)</td>
<td></td>
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<p>Self-test implementations. </p>
<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
<div class="fragment"><div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span> {</div>
<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span> <span class="comment">// Input variables</span></div>
<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span> uint32_t int_length = 0; <span class="comment">// 32 bit integer length input</span></div>
<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"> 115</span> uint32_t int_width = 0; <span class="comment">// 32 bit integer width input</span></div>
<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"> 116</span> uint32_t int_base = 0; <span class="comment">// 32 bit integer base input</span></div>
<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"> 117</span> uint32_t int_height = 0; <span class="comment">// 32 bit integer height input</span></div>
<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span> uint32_t int_depth = 0; <span class="comment">// 32 bit integer depth input</span></div>
<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</span> </div>
<div class="line"><a id="l00120" name="l00120"></a><span class="lineno"> 120</span> <span class="keywordtype">double</span> double_radius = NAN; <span class="comment">// double radius input</span></div>
<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"> 121</span> <span class="keywordtype">double</span> double_height = NAN; <span class="comment">// double height input</span></div>
<div class="line"><a id="l00122" name="l00122"></a><span class="lineno"> 122</span> </div>
<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"> 123</span> <span class="comment">// Output variables</span></div>
<div class="line"><a id="l00124" name="l00124"></a><span class="lineno"> 124</span> uint32_t int_expected = 0; <span class="comment">// 32 bit integer expected output</span></div>
<div class="line"><a id="l00125" name="l00125"></a><span class="lineno"> 125</span> uint32_t int_volume = 0; <span class="comment">// 32 bit integer output</span></div>
<div class="line"><a id="l00126" name="l00126"></a><span class="lineno"> 126</span> </div>
<div class="line"><a id="l00127" name="l00127"></a><span class="lineno"> 127</span> <span class="keywordtype">double</span> double_expected = NAN; <span class="comment">// double expected output</span></div>
<div class="line"><a id="l00128" name="l00128"></a><span class="lineno"> 128</span> <span class="keywordtype">double</span> double_volume = NAN; <span class="comment">// double output</span></div>
<div class="line"><a id="l00129" name="l00129"></a><span class="lineno"> 129</span> </div>
<div class="line"><a id="l00130" name="l00130"></a><span class="lineno"> 130</span> <span class="comment">// 1st test</span></div>
<div class="line"><a id="l00131" name="l00131"></a><span class="lineno"> 131</span> int_length = 5;</div>
<div class="line"><a id="l00132" name="l00132"></a><span class="lineno"> 132</span> int_expected = 125;</div>
<div class="line"><a id="l00133" name="l00133"></a><span class="lineno"> 133</span> int_volume = <a class="code hl_function" href="../../dd/d47/namespacemath.html#ae413098478fa38acaac887b7654f0725">math::cube_volume</a>(int_length);</div>
<div class="line"><a id="l00134" name="l00134"></a><span class="lineno"> 134</span> </div>
<div class="line"><a id="l00135" name="l00135"></a><span class="lineno"> 135</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;VOLUME OF A CUBE&quot;</span> &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a id="l00136" name="l00136"></a><span class="lineno"> 136</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Input Length: &quot;</span> &lt;&lt; int_length &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a id="l00137" name="l00137"></a><span class="lineno"> 137</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Expected Output: &quot;</span> &lt;&lt; int_expected &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a id="l00138" name="l00138"></a><span class="lineno"> 138</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Output: &quot;</span> &lt;&lt; int_volume &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a id="l00139" name="l00139"></a><span class="lineno"> 139</span> assert(int_volume == int_expected);</div>
<div class="line"><a id="l00140" name="l00140"></a><span class="lineno"> 140</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;TEST PASSED&quot;</span> &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a> &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a id="l00141" name="l00141"></a><span class="lineno"> 141</span> </div>
<div class="line"><a id="l00142" name="l00142"></a><span class="lineno"> 142</span> <span class="comment">// 2nd test</span></div>
<div class="line"><a id="l00143" name="l00143"></a><span class="lineno"> 143</span> int_length = 4;</div>
<div class="line"><a id="l00144" name="l00144"></a><span class="lineno"> 144</span> int_width = 3;</div>
<div class="line"><a id="l00145" name="l00145"></a><span class="lineno"> 145</span> int_height = 5;</div>
<div class="line"><a id="l00146" name="l00146"></a><span class="lineno"> 146</span> int_expected = 60;</div>
<div class="line"><a id="l00147" name="l00147"></a><span class="lineno"> 147</span> int_volume = <a class="code hl_function" href="../../dd/d47/namespacemath.html#a3fdc74c24697ec5bb5c3698c96117c12">math::rect_prism_volume</a>(int_length, int_width, int_height);</div>
<div class="line"><a id="l00148" name="l00148"></a><span class="lineno"> 148</span> </div>
<div class="line"><a id="l00149" name="l00149"></a><span class="lineno"> 149</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;VOLUME OF A RECTANGULAR PRISM&quot;</span> &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a id="l00150" name="l00150"></a><span class="lineno"> 150</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Input Length: &quot;</span> &lt;&lt; int_length &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a id="l00151" name="l00151"></a><span class="lineno"> 151</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Input Width: &quot;</span> &lt;&lt; int_width &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a id="l00152" name="l00152"></a><span class="lineno"> 152</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Input Height: &quot;</span> &lt;&lt; int_height &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a id="l00153" name="l00153"></a><span class="lineno"> 153</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Expected Output: &quot;</span> &lt;&lt; int_expected &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a id="l00154" name="l00154"></a><span class="lineno"> 154</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Output: &quot;</span> &lt;&lt; int_volume &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a id="l00155" name="l00155"></a><span class="lineno"> 155</span> assert(int_volume == int_expected);</div>
<div class="line"><a id="l00156" name="l00156"></a><span class="lineno"> 156</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;TEST PASSED&quot;</span> &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a> &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a id="l00157" name="l00157"></a><span class="lineno"> 157</span> </div>
<div class="line"><a id="l00158" name="l00158"></a><span class="lineno"> 158</span> <span class="comment">// 3rd test</span></div>
<div class="line"><a id="l00159" name="l00159"></a><span class="lineno"> 159</span> double_radius = 5;</div>
<div class="line"><a id="l00160" name="l00160"></a><span class="lineno"> 160</span> double_height = 7;</div>
<div class="line"><a id="l00161" name="l00161"></a><span class="lineno"> 161</span> double_expected = 183.16666666666666; <span class="comment">// truncated to 14 decimal places</span></div>
<div class="line"><a id="l00162" name="l00162"></a><span class="lineno"> 162</span> double_volume = <a class="code hl_function" href="../../dd/d47/namespacemath.html#a3fe35440c27758ecc2287e08217d63a7">math::cone_volume</a>(double_radius, double_height);</div>
<div class="line"><a id="l00163" name="l00163"></a><span class="lineno"> 163</span> </div>
<div class="line"><a id="l00164" name="l00164"></a><span class="lineno"> 164</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;VOLUME OF A CONE&quot;</span> &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a id="l00165" name="l00165"></a><span class="lineno"> 165</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Input Radius: &quot;</span> &lt;&lt; double_radius &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a id="l00166" name="l00166"></a><span class="lineno"> 166</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Input Height: &quot;</span> &lt;&lt; double_height &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a id="l00167" name="l00167"></a><span class="lineno"> 167</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Expected Output: &quot;</span> &lt;&lt; double_expected &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a id="l00168" name="l00168"></a><span class="lineno"> 168</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Output: &quot;</span> &lt;&lt; double_volume &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a id="l00169" name="l00169"></a><span class="lineno"> 169</span> assert(double_volume == double_expected);</div>
<div class="line"><a id="l00170" name="l00170"></a><span class="lineno"> 170</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;TEST PASSED&quot;</span> &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a> &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a id="l00171" name="l00171"></a><span class="lineno"> 171</span> </div>
<div class="line"><a id="l00172" name="l00172"></a><span class="lineno"> 172</span> <span class="comment">// 4th test</span></div>
<div class="line"><a id="l00173" name="l00173"></a><span class="lineno"> 173</span> int_base = 3;</div>
<div class="line"><a id="l00174" name="l00174"></a><span class="lineno"> 174</span> int_height = 4;</div>
<div class="line"><a id="l00175" name="l00175"></a><span class="lineno"> 175</span> int_depth = 5;</div>
<div class="line"><a id="l00176" name="l00176"></a><span class="lineno"> 176</span> int_expected = 30;</div>
<div class="line"><a id="l00177" name="l00177"></a><span class="lineno"> 177</span> int_volume = <a class="code hl_function" href="../../dd/d47/namespacemath.html#a2d704a7b72a6b2db8b76c8581b577b2c">math::triangle_prism_volume</a>(int_base, int_height, int_depth);</div>
<div class="line"><a id="l00178" name="l00178"></a><span class="lineno"> 178</span> </div>
<div class="line"><a id="l00179" name="l00179"></a><span class="lineno"> 179</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;VOLUME OF A TRIANGULAR PRISM&quot;</span> &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a id="l00180" name="l00180"></a><span class="lineno"> 180</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Input Base: &quot;</span> &lt;&lt; int_base &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a id="l00181" name="l00181"></a><span class="lineno"> 181</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Input Height: &quot;</span> &lt;&lt; int_height &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a id="l00182" name="l00182"></a><span class="lineno"> 182</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Input Depth: &quot;</span> &lt;&lt; int_depth &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a id="l00183" name="l00183"></a><span class="lineno"> 183</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Expected Output: &quot;</span> &lt;&lt; int_expected &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a id="l00184" name="l00184"></a><span class="lineno"> 184</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Output: &quot;</span> &lt;&lt; int_volume &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a id="l00185" name="l00185"></a><span class="lineno"> 185</span> assert(int_volume == int_expected);</div>
<div class="line"><a id="l00186" name="l00186"></a><span class="lineno"> 186</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;TEST PASSED&quot;</span> &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a> &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a id="l00187" name="l00187"></a><span class="lineno"> 187</span> </div>
<div class="line"><a id="l00188" name="l00188"></a><span class="lineno"> 188</span> <span class="comment">// 5th test</span></div>
<div class="line"><a id="l00189" name="l00189"></a><span class="lineno"> 189</span> int_length = 10;</div>
<div class="line"><a id="l00190" name="l00190"></a><span class="lineno"> 190</span> int_width = 3;</div>
<div class="line"><a id="l00191" name="l00191"></a><span class="lineno"> 191</span> int_height = 5;</div>
<div class="line"><a id="l00192" name="l00192"></a><span class="lineno"> 192</span> int_expected = 50;</div>
<div class="line"><a id="l00193" name="l00193"></a><span class="lineno"> 193</span> int_volume = <a class="code hl_function" href="../../dd/d47/namespacemath.html#a94db02b3c9e55a69ac1696f30e2f761c">math::pyramid_volume</a>(int_length, int_width, int_height);</div>
<div class="line"><a id="l00194" name="l00194"></a><span class="lineno"> 194</span> </div>
<div class="line"><a id="l00195" name="l00195"></a><span class="lineno"> 195</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;VOLUME OF A PYRAMID&quot;</span> &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a id="l00196" name="l00196"></a><span class="lineno"> 196</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Input Length: &quot;</span> &lt;&lt; int_length &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a id="l00197" name="l00197"></a><span class="lineno"> 197</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Input Width: &quot;</span> &lt;&lt; int_width &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a id="l00198" name="l00198"></a><span class="lineno"> 198</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Input Height: &quot;</span> &lt;&lt; int_height &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a id="l00199" name="l00199"></a><span class="lineno"> 199</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Expected Output: &quot;</span> &lt;&lt; int_expected &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a id="l00200" name="l00200"></a><span class="lineno"> 200</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Output: &quot;</span> &lt;&lt; int_volume &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a id="l00201" name="l00201"></a><span class="lineno"> 201</span> assert(int_volume == int_expected);</div>
<div class="line"><a id="l00202" name="l00202"></a><span class="lineno"> 202</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;TEST PASSED&quot;</span> &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a> &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a id="l00203" name="l00203"></a><span class="lineno"> 203</span> </div>
<div class="line"><a id="l00204" name="l00204"></a><span class="lineno"> 204</span> <span class="comment">// 6th test</span></div>
<div class="line"><a id="l00205" name="l00205"></a><span class="lineno"> 205</span> double_radius = 3;</div>
<div class="line"><a id="l00206" name="l00206"></a><span class="lineno"> 206</span> double_expected = 113.04;</div>
<div class="line"><a id="l00207" name="l00207"></a><span class="lineno"> 207</span> double_volume = <a class="code hl_function" href="../../dd/d47/namespacemath.html#a34d66a77c19ce9b8b3a3d14352b34551">math::sphere_volume</a>(double_radius);</div>
<div class="line"><a id="l00208" name="l00208"></a><span class="lineno"> 208</span> </div>
<div class="line"><a id="l00209" name="l00209"></a><span class="lineno"> 209</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;VOLUME OF A SPHERE&quot;</span> &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a id="l00210" name="l00210"></a><span class="lineno"> 210</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Input Radius: &quot;</span> &lt;&lt; double_radius &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a id="l00211" name="l00211"></a><span class="lineno"> 211</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Expected Output: &quot;</span> &lt;&lt; double_expected &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a id="l00212" name="l00212"></a><span class="lineno"> 212</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Output: &quot;</span> &lt;&lt; double_volume &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a id="l00213" name="l00213"></a><span class="lineno"> 213</span> assert(double_volume == double_expected);</div>
<div class="line"><a id="l00214" name="l00214"></a><span class="lineno"> 214</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;TEST PASSED&quot;</span> &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a> &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a id="l00215" name="l00215"></a><span class="lineno"> 215</span> </div>
<div class="line"><a id="l00216" name="l00216"></a><span class="lineno"> 216</span> <span class="comment">// 7th test</span></div>
<div class="line"><a id="l00217" name="l00217"></a><span class="lineno"> 217</span> double_radius = 5;</div>
<div class="line"><a id="l00218" name="l00218"></a><span class="lineno"> 218</span> double_height = 2;</div>
<div class="line"><a id="l00219" name="l00219"></a><span class="lineno"> 219</span> double_expected = 157;</div>
<div class="line"><a id="l00220" name="l00220"></a><span class="lineno"> 220</span> double_volume = <a class="code hl_function" href="../../dd/d47/namespacemath.html#abde24398be43538c62e4a496968e60ca">math::cylinder_volume</a>(double_radius, double_height);</div>
<div class="line"><a id="l00221" name="l00221"></a><span class="lineno"> 221</span> </div>
<div class="line"><a id="l00222" name="l00222"></a><span class="lineno"> 222</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;VOLUME OF A CYLINDER&quot;</span> &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a id="l00223" name="l00223"></a><span class="lineno"> 223</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Input Radius: &quot;</span> &lt;&lt; double_radius &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a id="l00224" name="l00224"></a><span class="lineno"> 224</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Input Height: &quot;</span> &lt;&lt; double_height &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a id="l00225" name="l00225"></a><span class="lineno"> 225</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Expected Output: &quot;</span> &lt;&lt; double_expected &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a id="l00226" name="l00226"></a><span class="lineno"> 226</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Output: &quot;</span> &lt;&lt; double_volume &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a id="l00227" name="l00227"></a><span class="lineno"> 227</span> assert(double_volume == double_expected);</div>
<div class="line"><a id="l00228" name="l00228"></a><span class="lineno"> 228</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;TEST PASSED&quot;</span> &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a> &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a id="l00229" name="l00229"></a><span class="lineno"> 229</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>
<div class="ttc" id="aendl_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a></div><div class="ttdeci">T endl(T... args)</div></div>
<div class="ttc" id="anamespacemath_html_a2d704a7b72a6b2db8b76c8581b577b2c"><div class="ttname"><a href="../../dd/d47/namespacemath.html#a2d704a7b72a6b2db8b76c8581b577b2c">math::triangle_prism_volume</a></div><div class="ttdeci">T triangle_prism_volume(T base, T height, T depth)</div><div class="ttdoc">The volume of a triangular prism.</div><div class="ttdef"><b>Definition:</b> volume.cpp:67</div></div>
<div class="ttc" id="anamespacemath_html_a34d66a77c19ce9b8b3a3d14352b34551"><div class="ttname"><a href="../../dd/d47/namespacemath.html#a34d66a77c19ce9b8b3a3d14352b34551">math::sphere_volume</a></div><div class="ttdeci">T sphere_volume(T radius, double PI=3.14)</div><div class="ttdoc">The volume of a sphere</div><div class="ttdef"><b>Definition:</b> volume.cpp:91</div></div>
<div class="ttc" id="anamespacemath_html_a3fdc74c24697ec5bb5c3698c96117c12"><div class="ttname"><a href="../../dd/d47/namespacemath.html#a3fdc74c24697ec5bb5c3698c96117c12">math::rect_prism_volume</a></div><div class="ttdeci">T rect_prism_volume(T length, T width, T height)</div><div class="ttdoc">The volume of a rectangular prism.</div><div class="ttdef"><b>Definition:</b> volume.cpp:41</div></div>
<div class="ttc" id="anamespacemath_html_a3fe35440c27758ecc2287e08217d63a7"><div class="ttname"><a href="../../dd/d47/namespacemath.html#a3fe35440c27758ecc2287e08217d63a7">math::cone_volume</a></div><div class="ttdeci">T cone_volume(T radius, T height, double PI=3.14)</div><div class="ttdoc">The volume of a cone</div><div class="ttdef"><b>Definition:</b> volume.cpp:53</div></div>
<div class="ttc" id="anamespacemath_html_a94db02b3c9e55a69ac1696f30e2f761c"><div class="ttname"><a href="../../dd/d47/namespacemath.html#a94db02b3c9e55a69ac1696f30e2f761c">math::pyramid_volume</a></div><div class="ttdeci">T pyramid_volume(T length, T width, T height)</div><div class="ttdoc">The volume of a pyramid</div><div class="ttdef"><b>Definition:</b> volume.cpp:80</div></div>
<div class="ttc" id="anamespacemath_html_abde24398be43538c62e4a496968e60ca"><div class="ttname"><a href="../../dd/d47/namespacemath.html#abde24398be43538c62e4a496968e60ca">math::cylinder_volume</a></div><div class="ttdeci">T cylinder_volume(T radius, T height, double PI=3.14)</div><div class="ttdoc">The volume of a cylinder</div><div class="ttdef"><b>Definition:</b> volume.cpp:103</div></div>
<div class="ttc" id="anamespacemath_html_ae413098478fa38acaac887b7654f0725"><div class="ttname"><a href="../../dd/d47/namespacemath.html#ae413098478fa38acaac887b7654f0725">math::cube_volume</a></div><div class="ttdeci">T cube_volume(T length)</div><div class="ttdoc">The volume of a cube</div><div class="ttdef"><b>Definition:</b> volume.cpp:28</div></div>
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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>
<tr class="separator:a34d66a77c19ce9b8b3a3d14352b34551"><td class="memSeparator" colspan="2">&#160;</td></tr>
<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>
<tr class="separator:abde24398be43538c62e4a496968e60ca"><td class="memSeparator" colspan="2">&#160;</td></tr>
</table>
<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>
<div class="memitem">
<div class="memproto">
<div class="memtemplate">
template&lt;typename T &gt; </div>
<table class="memname">
<tr>
<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>
<div class="memitem">
<div class="memproto">
<div class="memtemplate">
template&lt;typename T &gt; </div>
<table class="memname">
<tr>
<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>
</table>
</div><div class="memdoc">
<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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<a id="ac5803413618fcfb922cb32c6db0fc864" name="ac5803413618fcfb922cb32c6db0fc864"></a>
@@ -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>
<div class="memitem">
<div class="memproto">
<div class="memtemplate">
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">
<div class="memproto">
<div class="memtemplate">
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>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
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</div><div class="memdoc">
<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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@@ -827,6 +1064,62 @@ template&lt;typename T &gt; </div>
<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span> <span class="keywordflow">return</span> length * width;</div>
<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span>}</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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<tr>
<td class="memname">T math::rect_prism_volume </td>
<td>(</td>
<td class="paramtype">T&#160;</td>
<td class="paramname"><em>length</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
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<td class="paramname"><em>width</em>, </td>
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<tr>
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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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template&lt;typename T &gt; </div>
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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">
<tr><td class="paramname">radius</td><td>The radius of the sphere </td></tr>
<tr><td class="paramname">PI</td><td>The definition of the constant PI </td></tr>
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<dl class="section return"><dt>Returns</dt><dd>The volume of the sphere </dd></dl>
<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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<td class="memname">T math::triangle_prism_volume </td>
<td>(</td>
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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>
<tr><td class="paramname">depth</td><td>The depth of the triangular prism (the height of the whole prism) </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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