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<div class="header">
<div class="summary">
<a href="#namespaces">Namespaces</a> &#124;
<a href="#func-members">Functions</a> </div>
<div class="headertitle"><div class="title">eulers_totient_function.cpp File Reference</div></div>
</div><!--header-->
<div class="contents">
<p>C++ Program to find <a href="https://en.wikipedia.org/wiki/Euler%27s_totient_function" target="_blank">Euler's Totient</a> function.
<p>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.
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &lt;cstdlib&gt;</code><br />
<code>#include &lt;iostream&gt;</code><br />
<div class="textblock"><code>#include &lt;iostream&gt;</code><br />
<code>#include &lt;cassert&gt;</code><br />
</div><div class="textblock"><div class="dynheader">
Include dependency graph for eulers_totient_function.cpp:</div>
<div class="dyncontent">
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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>
<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
</table><table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="func-members" name="func-members"></a>
Functions</h2></td></tr>
<tr class="memitem:a35e4874a3e1d67eb708dc57944c8aea0"><td class="memItemLeft" align="right" valign="top">uint64_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../da/d23/eulers__totient__function_8cpp.html#a35e4874a3e1d67eb708dc57944c8aea0">phiFunction</a> (uint64_t n)</td></tr>
<tr class="separator:a35e4874a3e1d67eb708dc57944c8aea0"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ac37d3ba52eb296597d7a024ba8c4a5a5"><td class="memItemLeft" align="right" valign="top">uint64_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../dd/d47/namespacemath.html#ac37d3ba52eb296597d7a024ba8c4a5a5">math::phiFunction</a> (uint64_t n)</td></tr>
<tr class="memdesc:ac37d3ba52eb296597d7a024ba8c4a5a5"><td class="mdescLeft">&#160;</td><td class="mdescRight">Function to calculate Euler's Totient. <br /></td></tr>
<tr class="separator:ac37d3ba52eb296597d7a024ba8c4a5a5"><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/d23/eulers__totient__function_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>
<tr class="separator:aa8dca7b867074164d5f45b0f3851269d"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a0ddf1224851353fc92bfbff6f499fa97"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../da/d23/eulers__totient__function_8cpp.html#a0ddf1224851353fc92bfbff6f499fa97">main</a> (int argc, char *argv[])</td></tr>
<tr class="memdesc:a0ddf1224851353fc92bfbff6f499fa97"><td class="mdescLeft">&#160;</td><td class="mdescRight">Main function. <br /></td></tr>
<tr class="separator:a0ddf1224851353fc92bfbff6f499fa97"><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>C++ Program to find <a href="https://en.wikipedia.org/wiki/Euler%27s_totient_function" target="_blank">Euler's Totient</a> function. </p>
<p>Euler Totient Function is also known as phi function. </p><p class="formulaDsp">
<div class="textblock"><p>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. </p>
<p class="formulaDsp">
\[\phi(n) =
\phi\left({p_1}^{a_1}\right)\cdot\phi\left({p_2}^{a_2}\right)\ldots\]
</p>
@@ -143,7 +154,8 @@ Some known values are:</p><ul>
<li>\(\phi(100) = 40\)</li>
<li>\(\phi(1) = 1\)</li>
<li>\(\phi(17501) = 15120\)</li>
<li>\(\phi(1420) = 560\) </li>
<li>\(\phi(1420) = 560\) <dl class="section author"><dt>Author</dt><dd><a href="https://github.com/mann2108" target="_blank">Mann Mehta</a> </dd></dl>
</li>
</ul>
</div><h2 class="groupheader">Function Documentation</h2>
<a id="a0ddf1224851353fc92bfbff6f499fa97" name="a0ddf1224851353fc92bfbff6f499fa97"></a>
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</div><div class="memdoc">
<p>Main function. </p>
<div class="fragment"><div class="line"><span class="lineno"> 48</span> {</div>
<div class="line"><span class="lineno"> 49</span> uint64_t n;</div>
<div class="line"><span class="lineno"> 50</span> <span class="keywordflow">if</span> (argc &lt; 2) {</div>
<div class="line"><span class="lineno"> 51</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;Enter the number: &quot;</span>;</div>
<div class="line"><span class="lineno"> 52</span> } <span class="keywordflow">else</span> {</div>
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<div class="line"><span class="lineno"> 54</span> }</div>
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<div class="line"><span class="lineno"> 56</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <a class="code hl_function" href="../../da/d23/eulers__totient__function_8cpp.html#a35e4874a3e1d67eb708dc57944c8aea0">phiFunction</a>(n);</div>
<div class="line"><span class="lineno"> 57</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 58</span>}</div>
<div class="ttc" id="abasic_istream_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a></div></div>
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<div class="ttc" id="aeulers__totient__function_8cpp_html_a35e4874a3e1d67eb708dc57944c8aea0"><div class="ttname"><a href="../../da/d23/eulers__totient__function_8cpp.html#a35e4874a3e1d67eb708dc57944c8aea0">phiFunction</a></div><div class="ttdeci">uint64_t phiFunction(uint64_t n)</div><div class="ttdef"><b>Definition:</b> eulers_totient_function.cpp:32</div></div>
<div class="ttc" id="astrtoul_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/string/byte/strtoul.html">std::strtoull</a></div><div class="ttdeci">T strtoull(T... args)</div></div>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">argc</td><td>commandline argument count (ignored) </td></tr>
<tr><td class="paramname">argv</td><td>commandline array of arguments (ignored) </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>0 on exit </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 75</span> {</div>
<div class="line"><span class="lineno"> 76</span> <a class="code hl_function" href="../../da/d23/eulers__totient__function_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>();</div>
<div class="line"><span class="lineno"> 77</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 78</span>}</div>
<div class="ttc" id="aeulers__totient__function_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="../../da/d23/eulers__totient__function_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> eulers_totient_function.cpp:57</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#a35e4874a3e1d67eb708dc57944c8aea0">&#9670;&#160;</a></span>phiFunction()</h2>
<a id="aa8dca7b867074164d5f45b0f3851269d" name="aa8dca7b867074164d5f45b0f3851269d"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aa8dca7b867074164d5f45b0f3851269d">&#9670;&#160;</a></span>test()</h2>
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<td class="mlabels-left">
<table class="memname">
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<td class="memname">uint64_t phiFunction </td>
<td class="memname">static void test </td>
<td>(</td>
<td class="paramtype">uint64_t&#160;</td>
<td class="paramname"><em>n</em></td><td>)</td>
<td class="paramname"></td><td>)</td>
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<p>Function to caculate Euler's totient phi </p>
<div class="fragment"><div class="line"><span class="lineno"> 32</span> {</div>
<div class="line"><span class="lineno"> 33</span> uint64_t <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a> = n;</div>
<div class="line"><span class="lineno"> 34</span> <span class="keywordflow">for</span> (uint64_t i = 2; i * i &lt;= n; i++) {</div>
<div class="line"><span class="lineno"> 35</span> <span class="keywordflow">if</span> (n % i == 0) {</div>
<div class="line"><span class="lineno"> 36</span> <span class="keywordflow">while</span> (n % i == 0) {</div>
<div class="line"><span class="lineno"> 37</span> n /= i;</div>
<div class="line"><span class="lineno"> 38</span> }</div>
<div class="line"><span class="lineno"> 39</span> <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a> -= <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a> / i;</div>
<div class="line"><span class="lineno"> 40</span> }</div>
<div class="line"><span class="lineno"> 41</span> }</div>
<div class="line"><span class="lineno"> 42</span> <span class="keywordflow">if</span> (n &gt; 1)</div>
<div class="line"><span class="lineno"> 43</span> <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a> -= <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a> / n;</div>
<div class="line"><span class="lineno"> 44</span> <span class="keywordflow">return</span> <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a>;</div>
<div class="line"><span class="lineno"> 45</span>}</div>
<div class="ttc" id="afibonacci__sum_8cpp_html_aadb40ac4c74a7efc0680b83eeee138aa"><div class="ttname"><a href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">math::fibonacci_sum::result</a></div><div class="ttdeci">uint64_t result(uint64_t n)</div><div class="ttdef"><b>Definition:</b> fibonacci_sum.cpp:76</div></div>
</div><!-- fragment -->
<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"> 57</span> {</div>
<div class="line"><span class="lineno"> 58</span> assert(<a class="code hl_function" href="../../dd/d47/namespacemath.html#ac37d3ba52eb296597d7a024ba8c4a5a5">math::phiFunction</a>(1) == 1);</div>
<div class="line"><span class="lineno"> 59</span> assert(<a class="code hl_function" href="../../dd/d47/namespacemath.html#ac37d3ba52eb296597d7a024ba8c4a5a5">math::phiFunction</a>(2) == 1);</div>
<div class="line"><span class="lineno"> 60</span> assert(<a class="code hl_function" href="../../dd/d47/namespacemath.html#ac37d3ba52eb296597d7a024ba8c4a5a5">math::phiFunction</a>(10) == 4);</div>
<div class="line"><span class="lineno"> 61</span> assert(<a class="code hl_function" href="../../dd/d47/namespacemath.html#ac37d3ba52eb296597d7a024ba8c4a5a5">math::phiFunction</a>(123456) == 41088);</div>
<div class="line"><span class="lineno"> 62</span> assert(<a class="code hl_function" href="../../dd/d47/namespacemath.html#ac37d3ba52eb296597d7a024ba8c4a5a5">math::phiFunction</a>(808017424794) == 263582333856);</div>
<div class="line"><span class="lineno"> 63</span> assert(<a class="code hl_function" href="../../dd/d47/namespacemath.html#ac37d3ba52eb296597d7a024ba8c4a5a5">math::phiFunction</a>(3141592) == 1570792);</div>
<div class="line"><span class="lineno"> 64</span> assert(<a class="code hl_function" href="../../dd/d47/namespacemath.html#ac37d3ba52eb296597d7a024ba8c4a5a5">math::phiFunction</a>(27182818) == 12545904);</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 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_ac37d3ba52eb296597d7a024ba8c4a5a5"><div class="ttname"><a href="../../dd/d47/namespacemath.html#ac37d3ba52eb296597d7a024ba8c4a5a5">math::phiFunction</a></div><div class="ttdeci">uint64_t phiFunction(uint64_t n)</div><div class="ttdoc">Function to calculate Euler's Totient.</div><div class="ttdef"><b>Definition:</b> eulers_totient_function.cpp:39</div></div>
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Here is the call graph for this function:</div>
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