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<div class="headertitle"><div class="title">/Users/runner/work/C-Plus-Plus/C-Plus-Plus/math/iterative_factorial.cpp</div></div>
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<p>5! = 5 * 4 * 3 * 2 * 1</p>
<p>Recursive implementation of factorial pseudocode:</p>
<p>function factorial(n): if n == 1: return 1 else: return factorial(n-1)</p>
<div class="fragment"><div class="line"><span class="comment">/**</span></div>
<div class="line"><span class="comment"> * @file</span></div>
<div class="line"><span class="comment"> * @brief Iterative implementation of</span></div>
<div class="line"><span class="comment"> * [Factorial](https://en.wikipedia.org/wiki/Factorial)</span></div>
<div class="line"><span class="comment"> *</span></div>
<div class="line"><span class="comment"> * @author [Renjian-buchai](https://github.com/Renjian-buchai)</span></div>
<div class="line"><span class="comment"> *</span></div>
<div class="line"><span class="comment"> * @details Calculates factorial iteratively.</span></div>
<div class="line"><span class="comment"> * \f[n! = n\times(n-1)\times(n-2)\times(n-3)\times\ldots\times3\times2\times1</span></div>
<div class="line"><span class="comment"> * = n\times(n-1)!\f]</span></div>
<div class="line"><span class="comment"> * for example:</span></div>
<div class="line"><span class="comment"> * \f$4! = 4\times3! = 4\times3\times2\times1 = 24\f$</span></div>
<div class="line"><span class="comment"> *</span></div>
<div class="line"><span class="comment"> * @example</span></div>
<div class="line"><span class="comment"> *</span></div>
<div class="line"><span class="comment"> * 5! = 5 * 4 * 3 * 2 * 1</span></div>
<div class="line"><span class="comment"> *</span></div>
<div class="line"><span class="comment"> * Recursive implementation of factorial pseudocode:</span></div>
<div class="line"><span class="comment"> *</span></div>
<div class="line"><span class="comment"> * function factorial(n):</span></div>
<div class="line"><span class="comment"> * if n == 1:</span></div>
<div class="line"><span class="comment"> * return 1</span></div>
<div class="line"><span class="comment"> * else:</span></div>
<div class="line"><span class="comment"> * return factorial(n-1)</span></div>
<div class="line"><span class="comment"> *</span></div>
<div class="line"><span class="comment"> */</span></div>
<div class="line"> </div>
<div class="line"><span class="preprocessor">#include &lt;cassert&gt;</span> <span class="comment">/// for assert</span></div>
<div class="line"><span class="preprocessor">#include &lt;cstdint&gt;</span> <span class="comment">/// for integral types</span></div>
<div class="line"><span class="preprocessor">#include &lt;exception&gt;</span> <span class="comment">/// for std::invalid_argument</span></div>
<div class="line"><span class="preprocessor">#include &lt;iostream&gt;</span> <span class="comment">/// for std::cout</span></div>
<div class="line"><span class="comment"></span> </div>
<div class="line"><span class="comment">/**</span></div>
<div class="line"><span class="comment"> * @namespace</span></div>
<div class="line"><span class="comment"> * @brief Mathematical algorithms</span></div>
<div class="line"><span class="comment"> */</span></div>
<div class="line"><span class="keyword">namespace </span><a class="code hl_namespace" href="../../dd/d47/namespacemath.html">math</a> {</div>
<div class="line"><span class="comment"></span> </div>
<div class="line"><span class="comment">/**</span></div>
<div class="line"><span class="comment"> * @brief Calculates the factorial iteratively.</span></div>
<div class="line"><span class="comment"> * @param n Nth factorial.</span></div>
<div class="line"><span class="comment"> * @return Factorial.</span></div>
<div class="line"><span class="comment"> * @note 0! = 1.</span></div>
<div class="line"><span class="comment"> * @warning Maximum=20 because there are no 128-bit integers in C++. 21!</span></div>
<div class="line"><span class="comment"> * returns 1.419e+19, which is not 21! but (21! % UINT64_MAX).</span></div>
<div class="line"><span class="comment"> */</span></div>
<div class="line">uint64_t <a id="a0" name="a0"></a><a class="code hl_function" href="../../dd/d47/namespacemath.html#a2565c745aac2f9561cc6fd9e56d9b77a">iterativeFactorial</a>(uint8_t n) {</div>
<div class="line"> <span class="keywordflow">if</span> (n &gt; 20) {</div>
<div class="line"> <span class="keywordflow">throw</span> <span class="keyword">new</span> <a id="_a1" name="_a1"></a><a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/error/invalid_argument.html">std::invalid_argument</a>(<span class="stringliteral">&quot;Maximum n value is 20&quot;</span>);</div>
<div class="line"> }</div>
<div class="line"> </div>
<div class="line"> <span class="comment">// 1 because it is the identity number of multiplication.</span></div>
<div class="line"> uint64_t accumulator = 1;</div>
<div class="line"> </div>
<div class="line"> <span class="keywordflow">while</span> (n &gt; 1) {</div>
<div class="line"> accumulator *= n;</div>
<div class="line"> --n;</div>
<div class="line"> }</div>
<div class="line"> </div>
<div class="line"> <span class="keywordflow">return</span> accumulator;</div>
<div class="line">}</div>
<div class="line"> </div>
<div class="line">} <span class="comment">// namespace math</span></div>
<div class="line"><span class="comment"></span> </div>
<div class="line"><span class="comment">/**</span></div>
<div class="line"><span class="comment"> * @brief Self-test implementations to test iterativeFactorial function.</span></div>
<div class="line"><span class="comment"> * @note There is 1 special case: 0! = 1.</span></div>
<div class="line"><span class="comment"> */</span></div>
<div class="line"><span class="keyword">static</span> <span class="keywordtype">void</span> <a id="a2" name="a2"></a><a class="code hl_function" href="../../dd/d1e/generate__parentheses_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>() {</div>
<div class="line"> <span class="comment">// Special case test</span></div>
<div class="line"> <a id="_a3" name="_a3"></a><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;Exception case test \n&quot;</span></div>
<div class="line"> <span class="stringliteral">&quot;Input: 0 \n&quot;</span></div>
<div class="line"> <span class="stringliteral">&quot;Expected output: 1 \n\n&quot;</span>;</div>
<div class="line"> assert(<a class="code hl_function" href="../../dd/d47/namespacemath.html#a2565c745aac2f9561cc6fd9e56d9b77a">math::iterativeFactorial</a>(0) == 1);</div>
<div class="line"> </div>
<div class="line"> <span class="comment">// Base case</span></div>
<div class="line"> <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;Base case test \n&quot;</span></div>
<div class="line"> <span class="stringliteral">&quot;Input: 1 \n&quot;</span></div>
<div class="line"> <span class="stringliteral">&quot;Expected output: 1 \n\n&quot;</span>;</div>
<div class="line"> assert(<a class="code hl_function" href="../../dd/d47/namespacemath.html#a2565c745aac2f9561cc6fd9e56d9b77a">math::iterativeFactorial</a>(1) == 1);</div>
<div class="line"> </div>
<div class="line"> <span class="comment">// Small case</span></div>
<div class="line"> <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;Small number case test \n&quot;</span></div>
<div class="line"> <span class="stringliteral">&quot;Input: 5 \n&quot;</span></div>
<div class="line"> <span class="stringliteral">&quot;Expected output: 120 \n\n&quot;</span>;</div>
<div class="line"> assert(<a class="code hl_function" href="../../dd/d47/namespacemath.html#a2565c745aac2f9561cc6fd9e56d9b77a">math::iterativeFactorial</a>(5) == 120);</div>
<div class="line"> </div>
<div class="line"> <span class="comment">// Medium case</span></div>
<div class="line"> <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;Medium number case test \n&quot;</span></div>
<div class="line"> <span class="stringliteral">&quot;Input: 10 \n&quot;</span></div>
<div class="line"> <span class="stringliteral">&quot;Expected output: 3628800 \n\n&quot;</span>;</div>
<div class="line"> assert(<a class="code hl_function" href="../../dd/d47/namespacemath.html#a2565c745aac2f9561cc6fd9e56d9b77a">math::iterativeFactorial</a>(10) == 3628800);</div>
<div class="line"> </div>
<div class="line"> <span class="comment">// Maximum case</span></div>
<div class="line"> <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;Maximum case test \n&quot;</span></div>
<div class="line"> <span class="stringliteral">&quot;Input: 20 \n&quot;</span></div>
<div class="line"> <span class="stringliteral">&quot;Expected output: 2432902008176640000\n\n&quot;</span>;</div>
<div class="line"> assert(<a class="code hl_function" href="../../dd/d47/namespacemath.html#a2565c745aac2f9561cc6fd9e56d9b77a">math::iterativeFactorial</a>(20) == 2432902008176640000);</div>
<div class="line"> </div>
<div class="line"> <span class="comment">// Exception test</span></div>
<div class="line"> <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;Exception test \n&quot;</span></div>
<div class="line"> <span class="stringliteral">&quot;Input: 21 \n&quot;</span></div>
<div class="line"> <span class="stringliteral">&quot;Expected output: Exception thrown \n&quot;</span>;</div>
<div class="line"> <span class="keywordflow">try</span> {</div>
<div class="line"> <a class="code hl_function" href="../../dd/d47/namespacemath.html#a2565c745aac2f9561cc6fd9e56d9b77a">math::iterativeFactorial</a>(21);</div>
<div class="line"> } <span class="keywordflow">catch</span> (<a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/error/invalid_argument.html">std::invalid_argument</a>* e) {</div>
<div class="line"> <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;Exception thrown successfully \nContent: &quot;</span> &lt;&lt; e-&gt;<a id="a4" name="a4"></a><a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/error/exception/what.html">what</a>()</div>
<div class="line"> &lt;&lt; <span class="stringliteral">&quot;\n&quot;</span>;</div>
<div class="line"> }</div>
<div class="line"> </div>
<div class="line"> <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;All tests have passed successfully.\n&quot;</span>;</div>
<div class="line">}</div>
<div class="line"><span class="comment"></span> </div>
<div class="line"><span class="comment">/**</span></div>
<div class="line"><span class="comment"> * @brief Main function</span></div>
<div class="line"><span class="comment"> * @returns 0 on exit</span></div>
<div class="line"><span class="comment"> */</span></div>
<div class="line"><span class="keywordtype">int</span> <a id="a5" name="a5"></a><a class="code hl_function" href="../../dd/d1e/generate__parentheses_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a>() {</div>
<div class="line"> <a class="code hl_function" href="../../dd/d1e/generate__parentheses_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// Run self-test implementation</span></div>
<div class="line"> <span class="keywordflow">return</span> 0;</div>
<div class="line">}</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="agenerate__parentheses_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="../../dd/d1e/generate__parentheses_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> generate_parentheses.cpp:82</div></div>
<div class="ttc" id="agenerate__parentheses_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../dd/d1e/generate__parentheses_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdoc">Main function.</div><div class="ttdef"><b>Definition</b> generate_parentheses.cpp:110</div></div>
<div class="ttc" id="ainvalid_argument_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/error/invalid_argument.html">std::invalid_argument</a></div></div>
<div class="ttc" id="anamespacemath_html"><div class="ttname"><a href="../../dd/d47/namespacemath.html">math</a></div><div class="ttdoc">for IO operations</div></div>
<div class="ttc" id="anamespacemath_html_a2565c745aac2f9561cc6fd9e56d9b77a"><div class="ttname"><a href="../../dd/d47/namespacemath.html#a2565c745aac2f9561cc6fd9e56d9b77a">math::iterativeFactorial</a></div><div class="ttdeci">uint64_t iterativeFactorial(uint8_t n)</div><div class="ttdoc">Calculates the factorial iteratively.</div><div class="ttdef"><b>Definition</b> iterative_factorial.cpp:47</div></div>
<div class="ttc" id="awhat_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/error/exception/what.html">std::invalid_argument::what</a></div><div class="ttdeci">T what(T... args)</div></div>
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<div class="headertitle"><div class="title">iterative_factorial.cpp File Reference</div></div>
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<p>Iterative implementation of <a href="https://en.wikipedia.org/wiki/Factorial" target="_blank">Factorial</a>
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &lt;cassert&gt;</code><br />
<code>#include &lt;cstdint&gt;</code><br />
<code>#include &lt;exception&gt;</code><br />
<code>#include &lt;iostream&gt;</code><br />
</div><div class="textblock"><div class="dynheader">
Include dependency graph for iterative_factorial.cpp:</div>
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Namespaces</h2></td></tr>
<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 IO operations <br /></td></tr>
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Functions</h2></td></tr>
<tr class="memitem:a2565c745aac2f9561cc6fd9e56d9b77a"><td class="memItemLeft" align="right" valign="top">uint64_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../dd/d47/namespacemath.html#a2565c745aac2f9561cc6fd9e56d9b77a">math::iterativeFactorial</a> (uint8_t n)</td></tr>
<tr class="memdesc:a2565c745aac2f9561cc6fd9e56d9b77a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculates the factorial iteratively. <br /></td></tr>
<tr class="separator:a2565c745aac2f9561cc6fd9e56d9b77a"><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="../../db/d9f/iterative__factorial_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a> ()</td></tr>
<tr class="memdesc:aa8dca7b867074164d5f45b0f3851269d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Self-test implementations to test iterativeFactorial function. <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="../../db/d9f/iterative__factorial_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a> ()</td></tr>
<tr class="memdesc:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="mdescLeft">&#160;</td><td class="mdescRight">Main function. <br /></td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p>Iterative implementation of <a href="https://en.wikipedia.org/wiki/Factorial" target="_blank">Factorial</a> </p>
<dl class="section author"><dt>Author</dt><dd><a href="https://github.com/Renjian-buchai" target="_blank">Renjian-buchai</a></dd></dl>
<p>Calculates factorial iteratively. </p><p class="formulaDsp">
\[n! = n\times(n-1)\times(n-2)\times(n-3)\times\ldots\times3\times2\times1
= n\times(n-1)!\]
</p>
<p> for example: \(4! = 4\times3! = 4\times3\times2\times1 = 24\) </p>
</div><h2 class="groupheader">Function Documentation</h2>
<a id="ae66f6b31b5ad750f1fe042a706a4e3d4" name="ae66f6b31b5ad750f1fe042a706a4e3d4"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ae66f6b31b5ad750f1fe042a706a4e3d4">&#9670;&#160;</a></span>main()</h2>
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<td class="memname">int main </td>
<td>(</td>
<td class="paramtype">void&#160;</td>
<td class="paramname"></td><td>)</td>
<td></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"><span class="lineno"> 118</span> {</div>
<div class="line"><span class="lineno"> 119</span> <a class="code hl_function" href="../../db/d9f/iterative__factorial_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// Run self-test implementation</span></div>
<div class="line"><span class="lineno"> 120</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 121</span>}</div>
<div class="ttc" id="aiterative__factorial_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="../../db/d9f/iterative__factorial_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a></div><div class="ttdeci">static void test()</div><div class="ttdoc">Self-test implementations to test iterativeFactorial function.</div><div class="ttdef"><b>Definition</b> iterative_factorial.cpp:69</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#aa8dca7b867074164d5f45b0f3851269d">&#9670;&#160;</a></span>test()</h2>
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<td class="memname">static void test </td>
<td>(</td>
<td class="paramname"></td><td>)</td>
<td></td>
</tr>
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</td>
<td class="mlabels-right">
<span class="mlabels"><span class="mlabel">static</span></span> </td>
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<p>Self-test implementations to test iterativeFactorial function. </p>
<dl class="section note"><dt>Note</dt><dd>There is 1 special case: 0! = 1. </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 69</span> {</div>
<div class="line"><span class="lineno"> 70</span> <span class="comment">// Special case test</span></div>
<div class="line"><span class="lineno"> 71</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;Exception case test \n&quot;</span></div>
<div class="line"><span class="lineno"> 72</span> <span class="stringliteral">&quot;Input: 0 \n&quot;</span></div>
<div class="line"><span class="lineno"> 73</span> <span class="stringliteral">&quot;Expected output: 1 \n\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 74</span> assert(<a class="code hl_function" href="../../dd/d47/namespacemath.html#a2565c745aac2f9561cc6fd9e56d9b77a">math::iterativeFactorial</a>(0) == 1);</div>
<div class="line"><span class="lineno"> 75</span> </div>
<div class="line"><span class="lineno"> 76</span> <span class="comment">// Base case</span></div>
<div class="line"><span class="lineno"> 77</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;Base case test \n&quot;</span></div>
<div class="line"><span class="lineno"> 78</span> <span class="stringliteral">&quot;Input: 1 \n&quot;</span></div>
<div class="line"><span class="lineno"> 79</span> <span class="stringliteral">&quot;Expected output: 1 \n\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 80</span> assert(<a class="code hl_function" href="../../dd/d47/namespacemath.html#a2565c745aac2f9561cc6fd9e56d9b77a">math::iterativeFactorial</a>(1) == 1);</div>
<div class="line"><span class="lineno"> 81</span> </div>
<div class="line"><span class="lineno"> 82</span> <span class="comment">// Small case</span></div>
<div class="line"><span class="lineno"> 83</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;Small number case test \n&quot;</span></div>
<div class="line"><span class="lineno"> 84</span> <span class="stringliteral">&quot;Input: 5 \n&quot;</span></div>
<div class="line"><span class="lineno"> 85</span> <span class="stringliteral">&quot;Expected output: 120 \n\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 86</span> assert(<a class="code hl_function" href="../../dd/d47/namespacemath.html#a2565c745aac2f9561cc6fd9e56d9b77a">math::iterativeFactorial</a>(5) == 120);</div>
<div class="line"><span class="lineno"> 87</span> </div>
<div class="line"><span class="lineno"> 88</span> <span class="comment">// Medium case</span></div>
<div class="line"><span class="lineno"> 89</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;Medium number case test \n&quot;</span></div>
<div class="line"><span class="lineno"> 90</span> <span class="stringliteral">&quot;Input: 10 \n&quot;</span></div>
<div class="line"><span class="lineno"> 91</span> <span class="stringliteral">&quot;Expected output: 3628800 \n\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 92</span> assert(<a class="code hl_function" href="../../dd/d47/namespacemath.html#a2565c745aac2f9561cc6fd9e56d9b77a">math::iterativeFactorial</a>(10) == 3628800);</div>
<div class="line"><span class="lineno"> 93</span> </div>
<div class="line"><span class="lineno"> 94</span> <span class="comment">// Maximum case</span></div>
<div class="line"><span class="lineno"> 95</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;Maximum case test \n&quot;</span></div>
<div class="line"><span class="lineno"> 96</span> <span class="stringliteral">&quot;Input: 20 \n&quot;</span></div>
<div class="line"><span class="lineno"> 97</span> <span class="stringliteral">&quot;Expected output: 2432902008176640000\n\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 98</span> assert(<a class="code hl_function" href="../../dd/d47/namespacemath.html#a2565c745aac2f9561cc6fd9e56d9b77a">math::iterativeFactorial</a>(20) == 2432902008176640000);</div>
<div class="line"><span class="lineno"> 99</span> </div>
<div class="line"><span class="lineno"> 100</span> <span class="comment">// Exception test</span></div>
<div class="line"><span class="lineno"> 101</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;Exception test \n&quot;</span></div>
<div class="line"><span class="lineno"> 102</span> <span class="stringliteral">&quot;Input: 21 \n&quot;</span></div>
<div class="line"><span class="lineno"> 103</span> <span class="stringliteral">&quot;Expected output: Exception thrown \n&quot;</span>;</div>
<div class="line"><span class="lineno"> 104</span> <span class="keywordflow">try</span> {</div>
<div class="line"><span class="lineno"> 105</span> <a class="code hl_function" href="../../dd/d47/namespacemath.html#a2565c745aac2f9561cc6fd9e56d9b77a">math::iterativeFactorial</a>(21);</div>
<div class="line"><span class="lineno"> 106</span> } <span class="keywordflow">catch</span> (<a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/error/invalid_argument.html">std::invalid_argument</a>* e) {</div>
<div class="line"><span class="lineno"> 107</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;Exception thrown successfully \nContent: &quot;</span> &lt;&lt; e-&gt;<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/error/exception/what.html">what</a>()</div>
<div class="line"><span class="lineno"> 108</span> &lt;&lt; <span class="stringliteral">&quot;\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 109</span> }</div>
<div class="line"><span class="lineno"> 110</span> </div>
<div class="line"><span class="lineno"> 111</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;All tests have passed successfully.\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 112</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="ainvalid_argument_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/error/invalid_argument.html">std::invalid_argument</a></div></div>
<div class="ttc" id="anamespacemath_html_a2565c745aac2f9561cc6fd9e56d9b77a"><div class="ttname"><a href="../../dd/d47/namespacemath.html#a2565c745aac2f9561cc6fd9e56d9b77a">math::iterativeFactorial</a></div><div class="ttdeci">uint64_t iterativeFactorial(uint8_t n)</div><div class="ttdoc">Calculates the factorial iteratively.</div><div class="ttdef"><b>Definition</b> iterative_factorial.cpp:47</div></div>
<div class="ttc" id="awhat_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/error/exception/what.html">std::invalid_argument::what</a></div><div class="ttdeci">T what(T... args)</div></div>
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<p>Calculates the factorial iteratively. </p>
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@@ -254,38 +254,39 @@ solve-a-rat-in-a-maze-c-java-pytho/" target="_blank">Rat in a Maze</a> algorithm
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<tr id="row_14_33_" class="odd" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d9/d44/magic__number_8cpp.html" target="_self">magic_number.cpp</a></td><td class="desc">A simple program to check if the given number is a magic number or not. A number is said to be a magic number, if the sum of its digits are calculated till a single digit recursively by adding the sum of the digits after every addition. If the single digit comes out to be 1,then the number is a magic number </td></tr>
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<tr id="row_14_35_" class="odd" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="df/d72/modular__division_8cpp.html" target="_self">modular_division.cpp</a></td><td class="desc">An algorithm to divide two numbers under modulo p <a href="https://www.geeksforgeeks.org/modular-division" target="_blank">Modular Division</a> </td></tr>
<tr id="row_14_36_" class="odd" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d0/d6d/modular__exponentiation_8cpp.html" target="_self">modular_exponentiation.cpp</a></td><td class="desc">C++ Program for Modular Exponentiation Iteratively </td></tr>
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