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<p>Program to check if a number is an <a href="https://en.wikipedia.org/wiki/Narcissistic_number" target="_blank">Armstrong/Narcissistic number</a> in decimal system.
<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;iostream&gt;</code><br />
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Include dependency graph for armstrong_number.cpp:</div>
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Functions</h2></td></tr>
<tr class="memitem:aab733299b170fa5a752503f95f090fcd"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d4/d5d/math_2armstrong__number_8cpp.html#aab733299b170fa5a752503f95f090fcd">number_of_digits</a> (int num)</td></tr>
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<tr class="memitem:a9cebd92bc70890c3cfa261d68a5016e7"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d4/d5d/math_2armstrong__number_8cpp.html#a9cebd92bc70890c3cfa261d68a5016e7">is_armstrong</a> (int number)</td></tr>
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<tr class="memitem:ae1a3968e7947464bee7714f6d43b7002"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d4/d5d/math_2armstrong__number_8cpp.html#ae1a3968e7947464bee7714f6d43b7002">test</a> ()</td></tr>
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<tr class="memitem:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d4/d5d/math_2armstrong__number_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a> ()</td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p>Program to check if a number is an <a href="https://en.wikipedia.org/wiki/Narcissistic_number" target="_blank">Armstrong/Narcissistic number</a> in decimal system. </p>
<p>Armstrong number or <a href="https://en.wikipedia.org/wiki/Narcissistic_number" target="_blank">Narcissistic number</a> is a number that is the sum of its own digits raised to the power of the number of digits. </p><dl class="section author"><dt>Author</dt><dd>iamnambiar </dd></dl>
</div><h2 class="groupheader">Function Documentation</h2>
<a id="a9cebd92bc70890c3cfa261d68a5016e7" name="a9cebd92bc70890c3cfa261d68a5016e7"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a9cebd92bc70890c3cfa261d68a5016e7">&#9670;&#160;</a></span>is_armstrong()</h2>
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<td class="memname">bool is_armstrong </td>
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<td class="paramtype">int&#160;</td>
<td class="paramname"><em>number</em></td><td>)</td>
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<p>Function to check whether the number is armstrong number or not. </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">num</td><td>Number </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd><code>true</code> if the number is armstrong. </dd>
<dd>
<code>false</code> if the number is not armstrong. </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 36</span> {</div>
<div class="line"><span class="lineno"> 37</span> <span class="comment">// If the number is less than 0, then it is not a armstrong number.</span></div>
<div class="line"><span class="lineno"> 38</span> <span class="keywordflow">if</span> (number &lt; 0) {</div>
<div class="line"><span class="lineno"> 39</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><span class="lineno"> 40</span> }</div>
<div class="line"><span class="lineno"> 41</span> <span class="keywordtype">int</span> <a class="code hl_function" href="../../d8/d77/namespacemachine__learning.html#a6f1c98c016ad34ff3d9f39372161bd35">sum</a> = 0;</div>
<div class="line"><span class="lineno"> 42</span> <span class="keywordtype">int</span> temp = number;</div>
<div class="line"><span class="lineno"> 43</span> <span class="comment">// Finding the total number of digits in the number</span></div>
<div class="line"><span class="lineno"> 44</span> <span class="keywordtype">int</span> total_digits = <a class="code hl_function" href="../../d4/d5d/math_2armstrong__number_8cpp.html#aab733299b170fa5a752503f95f090fcd">number_of_digits</a>(number);</div>
<div class="line"><span class="lineno"> 45</span> <span class="keywordflow">while</span> (temp &gt; 0) {</div>
<div class="line"><span class="lineno"> 46</span> <span class="keywordtype">int</span> rem = temp % 10;</div>
<div class="line"><span class="lineno"> 47</span> <span class="comment">// Finding each digit raised to the power total digit and add it to the</span></div>
<div class="line"><span class="lineno"> 48</span> <span class="comment">// total sum</span></div>
<div class="line"><span class="lineno"> 49</span> <a class="code hl_function" href="../../d8/d77/namespacemachine__learning.html#a6f1c98c016ad34ff3d9f39372161bd35">sum</a> = <a class="code hl_function" href="../../d8/d77/namespacemachine__learning.html#a6f1c98c016ad34ff3d9f39372161bd35">sum</a> + <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/pow.html">std::pow</a>(rem, total_digits);</div>
<div class="line"><span class="lineno"> 50</span> temp = temp / 10;</div>
<div class="line"><span class="lineno"> 51</span> }</div>
<div class="line"><span class="lineno"> 52</span> <span class="keywordflow">return</span> number == <a class="code hl_function" href="../../d8/d77/namespacemachine__learning.html#a6f1c98c016ad34ff3d9f39372161bd35">sum</a>;</div>
<div class="line"><span class="lineno"> 53</span>}</div>
<div class="ttc" id="amath_2armstrong__number_8cpp_html_aab733299b170fa5a752503f95f090fcd"><div class="ttname"><a href="../../d4/d5d/math_2armstrong__number_8cpp.html#aab733299b170fa5a752503f95f090fcd">number_of_digits</a></div><div class="ttdeci">int number_of_digits(int num)</div><div class="ttdef"><b>Definition</b> armstrong_number.cpp:21</div></div>
<div class="ttc" id="anamespacemachine__learning_html_a6f1c98c016ad34ff3d9f39372161bd35"><div class="ttname"><a href="../../d8/d77/namespacemachine__learning.html#a6f1c98c016ad34ff3d9f39372161bd35">machine_learning::sum</a></div><div class="ttdeci">T sum(const std::vector&lt; std::valarray&lt; T &gt; &gt; &amp;A)</div><div class="ttdef"><b>Definition</b> vector_ops.hpp:232</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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<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>
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<p>Main Function </p>
<div class="fragment"><div class="line"><span class="lineno"> 77</span> {</div>
<div class="line"><span class="lineno"> 78</span> <a class="code hl_function" href="../../d4/d5d/math_2armstrong__number_8cpp.html#ae1a3968e7947464bee7714f6d43b7002">test</a>();</div>
<div class="line"><span class="lineno"> 79</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 80</span>}</div>
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<h2 class="memtitle"><span class="permalink"><a href="#aab733299b170fa5a752503f95f090fcd">&#9670;&#160;</a></span>number_of_digits()</h2>
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<td class="memname">int number_of_digits </td>
<td>(</td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>num</em></td><td>)</td>
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<p>Function to calculate the total number of digits in the number. </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">num</td><td>Number </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>Total number of digits. </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 21</span> {</div>
<div class="line"><span class="lineno"> 22</span> <span class="keywordtype">int</span> total_digits = 0;</div>
<div class="line"><span class="lineno"> 23</span> <span class="keywordflow">while</span> (num &gt; 0) {</div>
<div class="line"><span class="lineno"> 24</span> num = num / 10;</div>
<div class="line"><span class="lineno"> 25</span> ++total_digits;</div>
<div class="line"><span class="lineno"> 26</span> }</div>
<div class="line"><span class="lineno"> 27</span> <span class="keywordflow">return</span> total_digits;</div>
<div class="line"><span class="lineno"> 28</span>}</div>
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<h2 class="memtitle"><span class="permalink"><a href="#ae1a3968e7947464bee7714f6d43b7002">&#9670;&#160;</a></span>test()</h2>
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<td class="memname">void test </td>
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<p>Function for testing the <a class="el" href="../../d4/d5d/math_2armstrong__number_8cpp.html#a9cebd92bc70890c3cfa261d68a5016e7">is_armstrong()</a> function with all the test cases. </p>
<div class="fragment"><div class="line"><span class="lineno"> 59</span> {</div>
<div class="line"><span class="lineno"> 60</span> <span class="comment">// is_armstrong(370) returns true.</span></div>
<div class="line"><span class="lineno"> 61</span> assert(<a class="code hl_function" href="../../d4/d5d/math_2armstrong__number_8cpp.html#a9cebd92bc70890c3cfa261d68a5016e7">is_armstrong</a>(370) == <span class="keyword">true</span>);</div>
<div class="line"><span class="lineno"> 62</span> <span class="comment">// is_armstrong(225) returns false.</span></div>
<div class="line"><span class="lineno"> 63</span> assert(<a class="code hl_function" href="../../d4/d5d/math_2armstrong__number_8cpp.html#a9cebd92bc70890c3cfa261d68a5016e7">is_armstrong</a>(225) == <span class="keyword">false</span>);</div>
<div class="line"><span class="lineno"> 64</span> <span class="comment">// is_armstrong(-23) returns false.</span></div>
<div class="line"><span class="lineno"> 65</span> assert(<a class="code hl_function" href="../../d4/d5d/math_2armstrong__number_8cpp.html#a9cebd92bc70890c3cfa261d68a5016e7">is_armstrong</a>(-23) == <span class="keyword">false</span>);</div>
<div class="line"><span class="lineno"> 66</span> <span class="comment">// is_armstrong(153) returns true.</span></div>
<div class="line"><span class="lineno"> 67</span> assert(<a class="code hl_function" href="../../d4/d5d/math_2armstrong__number_8cpp.html#a9cebd92bc70890c3cfa261d68a5016e7">is_armstrong</a>(153) == <span class="keyword">true</span>);</div>
<div class="line"><span class="lineno"> 68</span> <span class="comment">// is_armstrong(0) returns true.</span></div>
<div class="line"><span class="lineno"> 69</span> assert(<a class="code hl_function" href="../../d4/d5d/math_2armstrong__number_8cpp.html#a9cebd92bc70890c3cfa261d68a5016e7">is_armstrong</a>(0) == <span class="keyword">true</span>);</div>
<div class="line"><span class="lineno"> 70</span> <span class="comment">// is_armstrong(12) returns false.</span></div>
<div class="line"><span class="lineno"> 71</span> assert(<a class="code hl_function" href="../../d4/d5d/math_2armstrong__number_8cpp.html#a9cebd92bc70890c3cfa261d68a5016e7">is_armstrong</a>(12) == <span class="keyword">false</span>);</div>
<div class="line"><span class="lineno"> 72</span>}</div>
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Functions</h2></td></tr>
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<tr class="memdesc:ab37f3a7302a84179aae682c79d8390bf"><td class="mdescLeft">&#160;</td><td class="mdescRight">to return the aliquot sum of a number <br /></td></tr>
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<tr class="memitem:abf7f2a6d91f1ca6c89698792aea3f188"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../dd/d47/namespacemath.html#abf7f2a6d91f1ca6c89698792aea3f188">approximate_pi</a> (const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; <a class="el" href="../../de/d4f/structmath_1_1_point.html">Point</a> &gt; &amp;pts)</td></tr>
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<p>Function to return the aliquot sum of a number </p><dl class="params"><dt>Parameters</dt><dd>
<p>to return the aliquot sum of a number </p>
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<div class="fragment"><div class="line"><span class="lineno"> 26</span> {</div>
<div class="line"><span class="lineno"> 27</span> <span class="keywordflow">if</span> (num == 0 || num == 1) {</div>
<div class="line"><span class="lineno"> 28</span> <span class="keywordflow">return</span> 0; <span class="comment">// The aliquot sum for 0 and 1 is 0</span></div>
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<div class="line"><span class="lineno"> 34</span> <span class="keywordflow">if</span> (num % i == 0) {</div>
<div class="line"><span class="lineno"> 35</span> sum += i;</div>
<div class="line"><span class="lineno"> 36</span> }</div>
<div class="line"><span class="lineno"> 37</span> }</div>
<div class="line"><span class="lineno"> 38</span> </div>
<div class="line"><span class="lineno"> 39</span> <span class="keywordflow">return</span> <a class="code hl_function" href="../../d8/d77/namespacemachine__learning.html#a6f1c98c016ad34ff3d9f39372161bd35">sum</a>;</div>
<div class="line"><span class="lineno"> 40</span>}</div>
<div class="fragment"><div class="line"><span class="lineno"> 35</span> {</div>
<div class="line"><span class="lineno"> 36</span> <span class="keywordflow">if</span> (num == 0 || num == 1) {</div>
<div class="line"><span class="lineno"> 37</span> <span class="keywordflow">return</span> 0; <span class="comment">// The aliquot sum for 0 and 1 is 0</span></div>
<div class="line"><span class="lineno"> 38</span> }</div>
<div class="line"><span class="lineno"> 39</span> </div>
<div class="line"><span class="lineno"> 40</span> uint64_t sum = 0;</div>
<div class="line"><span class="lineno"> 41</span> </div>
<div class="line"><span class="lineno"> 42</span> <span class="keywordflow">for</span> (uint64_t i = 1; i &lt;= num / 2; i++) {</div>
<div class="line"><span class="lineno"> 43</span> <span class="keywordflow">if</span> (num % i == 0) {</div>
<div class="line"><span class="lineno"> 44</span> sum += i;</div>
<div class="line"><span class="lineno"> 45</span> }</div>
<div class="line"><span class="lineno"> 46</span> }</div>
<div class="line"><span class="lineno"> 47</span> </div>
<div class="line"><span class="lineno"> 48</span> <span class="keywordflow">return</span> <a class="code hl_function" href="../../d8/d77/namespacemachine__learning.html#a6f1c98c016ad34ff3d9f39372161bd35">sum</a>;</div>
<div class="line"><span class="lineno"> 49</span>}</div>
<div class="ttc" id="anamespacemachine__learning_html_a6f1c98c016ad34ff3d9f39372161bd35"><div class="ttname"><a href="../../d8/d77/namespacemachine__learning.html#a6f1c98c016ad34ff3d9f39372161bd35">machine_learning::sum</a></div><div class="ttdeci">T sum(const std::vector&lt; std::valarray&lt; T &gt; &gt; &amp;A)</div><div class="ttdef"><b>Definition</b> vector_ops.hpp:232</div></div>
</div><!-- fragment -->
</div>

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@@ -123,6 +123,7 @@ Namespaces</h2></td></tr>
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="func-members" name="func-members"></a>
Functions</h2></td></tr>
<tr class="memitem:ab37f3a7302a84179aae682c79d8390bf"><td class="memItemLeft" align="right" valign="top">uint64_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../dd/d47/namespacemath.html#ab37f3a7302a84179aae682c79d8390bf">math::aliquot_sum</a> (const uint64_t num)</td></tr>
<tr class="memdesc:ab37f3a7302a84179aae682c79d8390bf"><td class="mdescLeft">&#160;</td><td class="mdescRight">to return the aliquot sum of a number <br /></td></tr>
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<tr class="memitem:aa8dca7b867074164d5f45b0f3851269d"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../de/d99/aliquot__sum_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a> ()</td></tr>
<tr class="memdesc:aa8dca7b867074164d5f45b0f3851269d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Self-test implementations. <br /></td></tr>
@@ -133,7 +134,14 @@ Functions</h2></td></tr>
</table>
<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p>Program to return the <a href="https://en.wikipedia.org/wiki/Aliquot_sum" target="_blank">Aliquot Sum</a> of a number. </p>
<p>The Aliquot sum s(n) of a non-negative integer n is the sum of all proper divisors of n, that is, all the divisors of n, other than itself. For example, the Aliquot sum of 18 = 1 + 2 + 3 + 6 + 9 = 21</p>
<p>The Aliquot sum \(s(n)\) of a non-negative integer n is the sum of all proper divisors of n, that is, all the divisors of n, other than itself.</p>
<p>Formula:</p>
<p class="formulaDsp">
\[
s(n) = \sum_{d|n, d\neq n}d.
\]
</p>
<p>For example; \(s(18) = 1 + 2 + 3 + 6 + 9 = 21 \)</p>
<dl class="section author"><dt>Author</dt><dd><a href="https://github.com/SpiderMath" target="_blank">SpiderMath</a> </dd></dl>
</div><h2 class="groupheader">Function Documentation</h2>
<a id="ae66f6b31b5ad750f1fe042a706a4e3d4" name="ae66f6b31b5ad750f1fe042a706a4e3d4"></a>
@@ -154,12 +162,11 @@ Functions</h2></td></tr>
<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"> 64</span> {</div>
<div class="line"><span class="lineno"> 65</span> <a class="code hl_function" href="../../de/d99/aliquot__sum_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// run the self-test implementations</span></div>
<div class="line"><span class="lineno"> 66</span> </div>
<div class="line"><span class="lineno"> 67</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 68</span>}</div>
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<div class="fragment"><div class="line"><span class="lineno"> 73</span> {</div>
<div class="line"><span class="lineno"> 74</span> <a class="code hl_function" href="../../de/d99/aliquot__sum_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// run the self-test implementations</span></div>
<div class="line"><span class="lineno"> 75</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 76</span>}</div>
<div class="ttc" id="aaliquot__sum_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="../../de/d99/aliquot__sum_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> aliquot_sum.cpp:56</div></div>
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@@ -193,20 +200,20 @@ Here is the call graph for this function:</div>
<p>Self-test implementations. </p>
<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 47</span> {</div>
<div class="line"><span class="lineno"> 48</span> <span class="comment">// Aliquot sum of 10 is 1 + 2 + 5 = 8</span></div>
<div class="line"><span class="lineno"> 49</span> assert(<a class="code hl_function" href="../../dd/d47/namespacemath.html#ab37f3a7302a84179aae682c79d8390bf">math::aliquot_sum</a>(10) == 8);</div>
<div class="line"><span class="lineno"> 50</span> <span class="comment">// Aliquot sum of 15 is 1 + 3 + 5 = 9</span></div>
<div class="line"><span class="lineno"> 51</span> assert(<a class="code hl_function" href="../../dd/d47/namespacemath.html#ab37f3a7302a84179aae682c79d8390bf">math::aliquot_sum</a>(15) == 9);</div>
<div class="line"><span class="lineno"> 52</span> <span class="comment">// Aliquot sum of 1 is 0</span></div>
<div class="line"><span class="lineno"> 53</span> assert(<a class="code hl_function" href="../../dd/d47/namespacemath.html#ab37f3a7302a84179aae682c79d8390bf">math::aliquot_sum</a>(1) == 0);</div>
<div class="line"><span class="lineno"> 54</span> <span class="comment">// Aliquot sum of 97 is 1 (the aliquot sum of a prime number is 1)</span></div>
<div class="line"><span class="lineno"> 55</span> assert(<a class="code hl_function" href="../../dd/d47/namespacemath.html#ab37f3a7302a84179aae682c79d8390bf">math::aliquot_sum</a>(97) == 1);</div>
<div class="line"><span class="lineno"> 56</span> </div>
<div class="line"><span class="lineno"> 57</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 the tests have successfully passed!\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 58</span>}</div>
<div class="fragment"><div class="line"><span class="lineno"> 56</span> {</div>
<div class="line"><span class="lineno"> 57</span> <span class="comment">// Aliquot sum of 10 is 1 + 2 + 5 = 8</span></div>
<div class="line"><span class="lineno"> 58</span> assert(<a class="code hl_function" href="../../dd/d47/namespacemath.html#ab37f3a7302a84179aae682c79d8390bf">math::aliquot_sum</a>(10) == 8);</div>
<div class="line"><span class="lineno"> 59</span> <span class="comment">// Aliquot sum of 15 is 1 + 3 + 5 = 9</span></div>
<div class="line"><span class="lineno"> 60</span> assert(<a class="code hl_function" href="../../dd/d47/namespacemath.html#ab37f3a7302a84179aae682c79d8390bf">math::aliquot_sum</a>(15) == 9);</div>
<div class="line"><span class="lineno"> 61</span> <span class="comment">// Aliquot sum of 1 is 0</span></div>
<div class="line"><span class="lineno"> 62</span> assert(<a class="code hl_function" href="../../dd/d47/namespacemath.html#ab37f3a7302a84179aae682c79d8390bf">math::aliquot_sum</a>(1) == 0);</div>
<div class="line"><span class="lineno"> 63</span> <span class="comment">// Aliquot sum of 97 is 1 (the aliquot sum of a prime number is 1)</span></div>
<div class="line"><span class="lineno"> 64</span> assert(<a class="code hl_function" href="../../dd/d47/namespacemath.html#ab37f3a7302a84179aae682c79d8390bf">math::aliquot_sum</a>(97) == 1);</div>
<div class="line"><span class="lineno"> 65</span> </div>
<div class="line"><span class="lineno"> 66</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 the tests have successfully passed!\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 67</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="anamespacemath_html_ab37f3a7302a84179aae682c79d8390bf"><div class="ttname"><a href="../../dd/d47/namespacemath.html#ab37f3a7302a84179aae682c79d8390bf">math::aliquot_sum</a></div><div class="ttdeci">uint64_t aliquot_sum(const uint64_t num)</div><div class="ttdef"><b>Definition</b> aliquot_sum.cpp:26</div></div>
<div class="ttc" id="anamespacemath_html_ab37f3a7302a84179aae682c79d8390bf"><div class="ttname"><a href="../../dd/d47/namespacemath.html#ab37f3a7302a84179aae682c79d8390bf">math::aliquot_sum</a></div><div class="ttdeci">uint64_t aliquot_sum(const uint64_t num)</div><div class="ttdoc">to return the aliquot sum of a number</div><div class="ttdef"><b>Definition</b> aliquot_sum.cpp:35</div></div>
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<tr id="row_14_4_" 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="de/dcf/binary__exponent_8cpp.html" target="_self">binary_exponent.cpp</a></td><td class="desc">C++ Program to find Binary Exponent Iteratively and Recursively </td></tr>
<tr id="row_14_5_" 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="d8/db1/binomial__calculate_8cpp.html" target="_self">binomial_calculate.cpp</a></td><td class="desc">Program to calculate <a href="https://en.wikipedia.org/wiki/Binomial_coefficient" target="_blank">Binomial coefficients</a> </td></tr>
<tr id="row_14_6_" 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="d5/df6/check__amicable__pair_8cpp.html" target="_self">check_amicable_pair.cpp</a></td><td class="desc">A C++ Program to check whether a pair of number is <a href="https://en.wikipedia.org/wiki/Amicable_numbers" target="_blank">amicable pair</a> or not </td></tr>
<tr id="row_14_7_" 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="d8/dd5/check__factorial_8cpp.html" target="_self">check_factorial.cpp</a></td><td class="desc">A simple program to check if the given number is a <a href="https://en.wikipedia.org/wiki/Factorial" target="_blank">factorial</a> of some number or not </td></tr>
<tr id="row_14_8_" 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="db/d93/check__prime_8cpp.html" target="_self">check_prime.cpp</a></td><td class="desc">A simple program to check if the given number is <a href="https://en.wikipedia.org/wiki/Primality_test" target="_blank">Prime</a> or not </td></tr>
<tr id="row_14_9_" 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="d5/d67/complex__numbers_8cpp.html" target="_self">complex_numbers.cpp</a></td><td class="desc">An implementation of <a class="el" href="da/d5a/class_complex.html" title="Class Complex to represent complex numbers as a field.">Complex</a> Number as Objects </td></tr>
<tr id="row_14_10_" 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="d7/d89/double__factorial_8cpp.html" target="_self">double_factorial.cpp</a></td><td class="desc">Compute <a href="https://en.wikipedia.org/wiki/Double_factorial" target="_blank">double factorial</a>: \(n!!\) </td></tr>
<tr id="row_14_11_" 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="d7/da6/eratosthenes_8cpp.html" target="_self">eratosthenes.cpp</a></td><td class="desc"><a href="https://en.wikipedia.org/wiki/Sieve_of_Eratosthenes" target="_blank">The Sieve of Eratosthenes</a> </td></tr>
<tr id="row_14_12_" 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="da/d23/eulers__totient__function_8cpp.html" target="_self">eulers_totient_function.cpp</a></td><td class="desc">Implementation of <a href="https://en.wikipedia.org/wiki/Euler%27s_totient_function" target="_blank">Euler's Totient</a> @description Euler Totient Function is also known as phi function </td></tr>
<tr id="row_14_13_" 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/d5d/extended__euclid__algorithm_8cpp.html" target="_self">extended_euclid_algorithm.cpp</a></td><td class="desc">GCD using [extended Euclid's algorithm] (<a href="https://en.wikipedia.org/wiki/Extended_Euclidean_algorithm">https://en.wikipedia.org/wiki/Extended_Euclidean_algorithm</a>) </td></tr>
<tr id="row_14_14_" 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/d00/factorial_8cpp.html" target="_self">factorial.cpp</a></td><td class="desc">C++ program to find factorial of given number </td></tr>
<tr id="row_14_15_" 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="d2/d0b/fast__power_8cpp.html" target="_self">fast_power.cpp</a></td><td class="desc">Faster computation for \(a^b\) </td></tr>
<tr id="row_14_16_" 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/d89/fibonacci_8cpp.html" target="_self">fibonacci.cpp</a></td><td class="desc">Generate fibonacci sequence </td></tr>
<tr id="row_14_17_" 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="d4/d32/fibonacci__fast_8cpp.html" target="_self">fibonacci_fast.cpp</a></td><td class="desc">Faster computation of Fibonacci series </td></tr>
<tr id="row_14_18_" 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="de/de4/fibonacci__large_8cpp.html" target="_self">fibonacci_large.cpp</a></td><td class="desc">Computes N^th Fibonacci number given as input argument. Uses custom build arbitrary integers library to perform additions and other operations </td></tr>
<tr id="row_14_19_" 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="da/dc9/fibonacci__matrix__exponentiation_8cpp.html" target="_self">fibonacci_matrix_exponentiation.cpp</a></td><td class="desc">This program computes the N^th Fibonacci number in modulo mod input argument </td></tr>
<tr id="row_14_20_" 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="de/dc3/fibonacci__sum_8cpp.html" target="_self">fibonacci_sum.cpp</a></td><td class="desc">An algorithm to calculate the sum of <a href="https://en.wikipedia.org/wiki/Fibonacci_number" target="_blank">Fibonacci Sequence</a>: \(\mathrm{F}(n) +
<tr id="row_14_3_" 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="de/dcf/binary__exponent_8cpp.html" target="_self">binary_exponent.cpp</a></td><td class="desc">C++ Program to find Binary Exponent Iteratively and Recursively </td></tr>
<tr id="row_14_4_" 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="d8/db1/binomial__calculate_8cpp.html" target="_self">binomial_calculate.cpp</a></td><td class="desc">Program to calculate <a href="https://en.wikipedia.org/wiki/Binomial_coefficient" target="_blank">Binomial coefficients</a> </td></tr>
<tr id="row_14_5_" 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="d5/df6/check__amicable__pair_8cpp.html" target="_self">check_amicable_pair.cpp</a></td><td class="desc">A C++ Program to check whether a pair of number is <a href="https://en.wikipedia.org/wiki/Amicable_numbers" target="_blank">amicable pair</a> or not </td></tr>
<tr id="row_14_6_" 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="d8/dd5/check__factorial_8cpp.html" target="_self">check_factorial.cpp</a></td><td class="desc">A simple program to check if the given number is a <a href="https://en.wikipedia.org/wiki/Factorial" target="_blank">factorial</a> of some number or not </td></tr>
<tr id="row_14_7_" 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="db/d93/check__prime_8cpp.html" target="_self">check_prime.cpp</a></td><td class="desc">A simple program to check if the given number is <a href="https://en.wikipedia.org/wiki/Primality_test" target="_blank">Prime</a> or not </td></tr>
<tr id="row_14_8_" 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="d5/d67/complex__numbers_8cpp.html" target="_self">complex_numbers.cpp</a></td><td class="desc">An implementation of <a class="el" href="da/d5a/class_complex.html" title="Class Complex to represent complex numbers as a field.">Complex</a> Number as Objects </td></tr>
<tr id="row_14_9_" 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="d7/d89/double__factorial_8cpp.html" target="_self">double_factorial.cpp</a></td><td class="desc">Compute <a href="https://en.wikipedia.org/wiki/Double_factorial" target="_blank">double factorial</a>: \(n!!\) </td></tr>
<tr id="row_14_10_" 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="d7/da6/eratosthenes_8cpp.html" target="_self">eratosthenes.cpp</a></td><td class="desc"><a href="https://en.wikipedia.org/wiki/Sieve_of_Eratosthenes" target="_blank">The Sieve of Eratosthenes</a> </td></tr>
<tr id="row_14_11_" 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="da/d23/eulers__totient__function_8cpp.html" target="_self">eulers_totient_function.cpp</a></td><td class="desc">Implementation of <a href="https://en.wikipedia.org/wiki/Euler%27s_totient_function" target="_blank">Euler's Totient</a> @description Euler Totient Function is also known as phi function </td></tr>
<tr id="row_14_12_" 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/d5d/extended__euclid__algorithm_8cpp.html" target="_self">extended_euclid_algorithm.cpp</a></td><td class="desc">GCD using [extended Euclid's algorithm] (<a href="https://en.wikipedia.org/wiki/Extended_Euclidean_algorithm">https://en.wikipedia.org/wiki/Extended_Euclidean_algorithm</a>) </td></tr>
<tr id="row_14_13_" 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/d00/factorial_8cpp.html" target="_self">factorial.cpp</a></td><td class="desc">C++ program to find factorial of given number </td></tr>
<tr id="row_14_14_" 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="d2/d0b/fast__power_8cpp.html" target="_self">fast_power.cpp</a></td><td class="desc">Faster computation for \(a^b\) </td></tr>
<tr id="row_14_15_" 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/d89/fibonacci_8cpp.html" target="_self">fibonacci.cpp</a></td><td class="desc">Generate fibonacci sequence </td></tr>
<tr id="row_14_16_" 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="d4/d32/fibonacci__fast_8cpp.html" target="_self">fibonacci_fast.cpp</a></td><td class="desc">Faster computation of Fibonacci series </td></tr>
<tr id="row_14_17_" 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="de/de4/fibonacci__large_8cpp.html" target="_self">fibonacci_large.cpp</a></td><td class="desc">Computes N^th Fibonacci number given as input argument. Uses custom build arbitrary integers library to perform additions and other operations </td></tr>
<tr id="row_14_18_" 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="da/dc9/fibonacci__matrix__exponentiation_8cpp.html" target="_self">fibonacci_matrix_exponentiation.cpp</a></td><td class="desc">This program computes the N^th Fibonacci number in modulo mod input argument </td></tr>
<tr id="row_14_19_" 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="de/dc3/fibonacci__sum_8cpp.html" target="_self">fibonacci_sum.cpp</a></td><td class="desc">An algorithm to calculate the sum of <a href="https://en.wikipedia.org/wiki/Fibonacci_number" target="_blank">Fibonacci Sequence</a>: \(\mathrm{F}(n) +
\mathrm{F}(n+1) + .. + \mathrm{F}(m)\) </td></tr>
<tr id="row_14_21_" 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/d46/finding__number__of__digits__in__a__number_8cpp.html" target="_self">finding_number_of_digits_in_a_number.cpp</a></td><td class="desc">[Program to count digits in an integer](<a href="https://www.geeksforgeeks.org/program-count-digits-integer-3-different-methods">https://www.geeksforgeeks.org/program-count-digits-integer-3-different-methods</a>) </td></tr>
<tr id="row_14_22_" 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="d4/da0/gcd__iterative__euclidean_8cpp.html" target="_self">gcd_iterative_euclidean.cpp</a></td><td class="desc">Compute the greatest common denominator of two integers using <em>iterative form</em> of <a href="https://en.wikipedia.org/wiki/Euclidean_algorithm" target="_blank">Euclidean algorithm</a> </td></tr>
<tr id="row_14_23_" 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="d1/d11/gcd__of__n__numbers_8cpp.html" target="_self">gcd_of_n_numbers.cpp</a></td><td class="desc">This program aims at calculating the GCD of n numbers by division method </td></tr>
<tr id="row_14_24_" 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="d4/d45/gcd__recursive__euclidean_8cpp.html" target="_self">gcd_recursive_euclidean.cpp</a></td><td class="desc">Compute the greatest common denominator of two integers using <em>recursive form</em> of <a href="https://en.wikipedia.org/wiki/Euclidean_algorithm" target="_blank">Euclidean algorithm</a> </td></tr>
<tr id="row_14_25_" 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="d1/de9/integral__approximation_8cpp.html" target="_self">integral_approximation.cpp</a></td><td class="desc">Compute integral approximation of the function using <a href="https://en.wikipedia.org/wiki/Riemann_sum" target="_blank">Riemann sum</a> </td></tr>
<tr id="row_14_26_" 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="db/d40/integral__approximation2_8cpp.html" target="_self">integral_approximation2.cpp</a></td><td class="desc"><a href="https://en.wikipedia.org/wiki/Monte_Carlo_integration" target="_blank">Monte Carlo Integration</a> </td></tr>
<tr id="row_14_27_" 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="d6/db8/inv__sqrt_8cpp.html" target="_self">inv_sqrt.cpp</a></td><td class="desc">Implementation of <a href="https://medium.com/hard-mode/the-legendary-fast-inverse-square-root-e51fee3b49d9" target="_blank">the inverse square root Root</a> </td></tr>
<tr id="row_14_28_" 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="d6/d9d/large__factorial_8cpp.html" target="_self">large_factorial.cpp</a></td><td class="desc">Compute factorial of any arbitratily large number/ </td></tr>
<tr id="row_14_29_" class="odd" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><a href="d4/d86/large__number_8h_source.html"><span class="icondoc"></span></a><a class="el" href="d4/d86/large__number_8h.html" target="_self">large_number.h</a></td><td class="desc">Library to perform arithmatic operations on arbitrarily large numbers </td></tr>
<tr id="row_14_30_" 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="d5/d7a/largest__power_8cpp.html" target="_self">largest_power.cpp</a></td><td class="desc">Algorithm to find largest x such that p^x divides n! (factorial) using Legendre's Formula </td></tr>
<tr id="row_14_31_" 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="d5/d83/lcm__sum_8cpp.html" target="_self">lcm_sum.cpp</a></td><td class="desc">An algorithm to calculate the sum of LCM: \(\mathrm{LCM}(1,n) +
<tr id="row_14_20_" 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/d46/finding__number__of__digits__in__a__number_8cpp.html" target="_self">finding_number_of_digits_in_a_number.cpp</a></td><td class="desc">[Program to count digits in an integer](<a href="https://www.geeksforgeeks.org/program-count-digits-integer-3-different-methods">https://www.geeksforgeeks.org/program-count-digits-integer-3-different-methods</a>) </td></tr>
<tr id="row_14_21_" 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="d4/da0/gcd__iterative__euclidean_8cpp.html" target="_self">gcd_iterative_euclidean.cpp</a></td><td class="desc">Compute the greatest common denominator of two integers using <em>iterative form</em> of <a href="https://en.wikipedia.org/wiki/Euclidean_algorithm" target="_blank">Euclidean algorithm</a> </td></tr>
<tr id="row_14_22_" 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="d1/d11/gcd__of__n__numbers_8cpp.html" target="_self">gcd_of_n_numbers.cpp</a></td><td class="desc">This program aims at calculating the GCD of n numbers by division method </td></tr>
<tr id="row_14_23_" 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="d4/d45/gcd__recursive__euclidean_8cpp.html" target="_self">gcd_recursive_euclidean.cpp</a></td><td class="desc">Compute the greatest common denominator of two integers using <em>recursive form</em> of <a href="https://en.wikipedia.org/wiki/Euclidean_algorithm" target="_blank">Euclidean algorithm</a> </td></tr>
<tr id="row_14_24_" 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="d1/de9/integral__approximation_8cpp.html" target="_self">integral_approximation.cpp</a></td><td class="desc">Compute integral approximation of the function using <a href="https://en.wikipedia.org/wiki/Riemann_sum" target="_blank">Riemann sum</a> </td></tr>
<tr id="row_14_25_" 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="db/d40/integral__approximation2_8cpp.html" target="_self">integral_approximation2.cpp</a></td><td class="desc"><a href="https://en.wikipedia.org/wiki/Monte_Carlo_integration" target="_blank">Monte Carlo Integration</a> </td></tr>
<tr id="row_14_26_" 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="d6/db8/inv__sqrt_8cpp.html" target="_self">inv_sqrt.cpp</a></td><td class="desc">Implementation of <a href="https://medium.com/hard-mode/the-legendary-fast-inverse-square-root-e51fee3b49d9" target="_blank">the inverse square root Root</a> </td></tr>
<tr id="row_14_27_" 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="d6/d9d/large__factorial_8cpp.html" target="_self">large_factorial.cpp</a></td><td class="desc">Compute factorial of any arbitratily large number/ </td></tr>
<tr id="row_14_28_" class="odd" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><a href="d4/d86/large__number_8h_source.html"><span class="icondoc"></span></a><a class="el" href="d4/d86/large__number_8h.html" target="_self">large_number.h</a></td><td class="desc">Library to perform arithmatic operations on arbitrarily large numbers </td></tr>
<tr id="row_14_29_" 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="d5/d7a/largest__power_8cpp.html" target="_self">largest_power.cpp</a></td><td class="desc">Algorithm to find largest x such that p^x divides n! (factorial) using Legendre's Formula </td></tr>
<tr id="row_14_30_" 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="d5/d83/lcm__sum_8cpp.html" target="_self">lcm_sum.cpp</a></td><td class="desc">An algorithm to calculate the sum of LCM: \(\mathrm{LCM}(1,n) +
\mathrm{LCM}(2,n) + \ldots + \mathrm{LCM}(n,n)\) </td></tr>
<tr id="row_14_32_" 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="d4/d21/least__common__multiple_8cpp.html" target="_self">least_common_multiple.cpp</a></td><td class="desc"></td></tr>
<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="d0/d6d/modular__exponentiation_8cpp.html" target="_self">modular_exponentiation.cpp</a></td><td class="desc">C++ Program for Modular Exponentiation Iteratively </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="d8/d53/modular__inverse__fermat__little__theorem_8cpp.html" target="_self">modular_inverse_fermat_little_theorem.cpp</a></td><td class="desc">C++ Program to find the modular inverse using <a href="https://en.wikipedia.org/wiki/Fermat%27s_little_theorem" target="_blank">Fermat's Little Theorem</a> </td></tr>
<tr id="row_14_37_" 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="d6/d2d/modular__inverse__simple_8cpp.html" target="_self">modular_inverse_simple.cpp</a></td><td class="desc">Simple implementation of <a href="https://en.wikipedia.org/wiki/Modular_multiplicative_inverse" target="_blank">modular multiplicative inverse</a> </td></tr>
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<tr id="row_14_39_" 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="d1/dbb/n__choose__r_8cpp.html" target="_self">n_choose_r.cpp</a></td><td class="desc"><a href="https://en.wikipedia.org/wiki/Combination" target="_blank">Combinations</a> n choose r function implementation </td></tr>
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<tr id="row_14_41_" 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/da2/number__of__positive__divisors_8cpp.html" target="_self">number_of_positive_divisors.cpp</a></td><td class="desc">C++ Program to calculate the number of positive divisors </td></tr>
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<tr id="row_14_43_" 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/def/power__for__huge__numbers_8cpp.html" target="_self">power_for_huge_numbers.cpp</a></td><td class="desc">Compute powers of large numbers </td></tr>
<tr id="row_14_44_" 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="d4/d38/power__of__two_8cpp.html" target="_self">power_of_two.cpp</a></td><td class="desc">Implementation to check whether a number is a power of 2 or not </td></tr>
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<tr id="row_14_48_" 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="da/d18/quadratic__equations__complex__numbers_8cpp.html" target="_self">quadratic_equations_complex_numbers.cpp</a></td><td class="desc">Calculate quadratic equation with complex roots, i.e. b^2 - 4ac &lt; 0 </td></tr>
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<tr id="row_14_50_" 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="d8/ddf/sieve__of__eratosthenes_8cpp.html" target="_self">sieve_of_eratosthenes.cpp</a></td><td class="desc">Get list of prime numbers using Sieve of Eratosthenes </td></tr>
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<tr id="row_14_54_" 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="d4/d9d/sum__of__binomial__coefficient_8cpp.html" target="_self">sum_of_binomial_coefficient.cpp</a></td><td class="desc">Algorithm to find sum of binomial coefficients of a given positive integer </td></tr>
<tr id="row_14_55_" 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="d4/d83/sum__of__digits_8cpp.html" target="_self">sum_of_digits.cpp</a></td><td class="desc">A C++ Program to find the Sum of Digits of input integer </td></tr>
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<li>isPrime()&#160;:&#160;<a class="el" href="d8/d53/modular__inverse__fermat__little__theorem_8cpp.html#a09660096b134753128952246f4f4e4bd">modular_inverse_fermat_little_theorem.cpp</a></li>
<li>IsPrime()&#160;:&#160;<a class="el" href="da/d7b/primality__test_8cpp.html#a2bfa6adead2bdcbf1dac94cbe08d7eaf">primality_test.cpp</a></li>
<li>isPrime()&#160;:&#160;<a class="el" href="d8/d53/modular__inverse__fermat__little__theorem_8cpp.html#a09660096b134753128952246f4f4e4bd">modular_inverse_fermat_little_theorem.cpp</a></li>
<li>it_ternary_search()&#160;:&#160;<a class="el" href="dc/dfe/ternary__search_8cpp.html#ae30dfe2894191bfeffe5b3b1854b95b0">ternary_search.cpp</a></li>
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