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<div class="header">
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<a href="#namespaces">Namespaces</a> &#124;
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<div class="headertitle"><div class="title">check_prime.cpp File Reference</div></div>
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<div class="contents">
<p>Reduced all possibilities of a number which cannot be prime. Eg: No even number, except 2 can be a prime number, hence we will increment our loop with i+6 jumping and check for i or i+2 to be a factor of the number; if it's a factor then we will return false otherwise true after the loop terminates at the terminating condition which is (i*i&lt;=num)
<p>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.
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &lt;cassert&gt;</code><br />
<code>#include &lt;iostream&gt;</code><br />
@@ -113,68 +114,30 @@ Include dependency graph for check_prime.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:aa18b3517017d99bb4024853bddba5532"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
<tr class="memitem:aa18b3517017d99bb4024853bddba5532"><td class="memTemplItemLeft" align="right" valign="top">bool&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../db/d93/check__prime_8cpp.html#aa18b3517017d99bb4024853bddba5532">is_prime</a> (T num)</td></tr>
<tr class="memdesc:aa18b3517017d99bb4024853bddba5532"><td class="mdescLeft">&#160;</td><td class="mdescRight">for IO operations <br /></td></tr>
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<tr class="memitem:abd8f794b2229b42876169ff841b6e444"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../dd/d47/namespacemath.html#abd8f794b2229b42876169ff841b6e444">math::is_prime</a> (int64_t num)</td></tr>
<tr class="memdesc:abd8f794b2229b42876169ff841b6e444"><td class="mdescLeft">&#160;</td><td class="mdescRight">Function to check if the given number is prime or not. <br /></td></tr>
<tr class="separator:abd8f794b2229b42876169ff841b6e444"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a483bb8ccf42aaf7375a83e91490eda1e"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../db/d93/check__prime_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">tests</a> ()</td></tr>
<tr class="memdesc:a483bb8ccf42aaf7375a83e91490eda1e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Self-test implementations. <br /></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="../../db/d93/check__prime_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>Reduced all possibilities of a number which cannot be prime. Eg: No even number, except 2 can be a prime number, hence we will increment our loop with i+6 jumping and check for i or i+2 to be a factor of the number; if it's a factor then we will return false otherwise true after the loop terminates at the terminating condition which is (i*i&lt;=num) </p>
<p>Copyright 2020 </p><dl class="section author"><dt>Author</dt><dd>omkarlanghe</dd></dl>
<p>A simple program to check if the given number if prime or not. </p>
<div class="textblock"><p>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. </p>
<p>A prime number is any number that can be divided only by itself and 1. It must be positive and a whole number, therefore any prime number is part of the set of natural numbers. The majority of prime numbers are even numbers, with the exception of 2. This algorithm finds prime numbers using this information. additional ways to solve the prime check problem: <a href="https://cp-algorithms.com/algebra/primality_tests.html#practice-problems">https://cp-algorithms.com/algebra/primality_tests.html#practice-problems</a> </p><dl class="section author"><dt>Author</dt><dd><a href="https://github.com/omkarlanghe" target="_blank">Omkar Langhe</a> </dd>
<dd>
<a href="https://github.com/ewd00010" target="_blank">ewd00010</a> </dd></dl>
</div><h2 class="groupheader">Function Documentation</h2>
<a id="aa18b3517017d99bb4024853bddba5532" name="aa18b3517017d99bb4024853bddba5532"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aa18b3517017d99bb4024853bddba5532">&#9670;&#160;</a></span>is_prime()</h2>
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template&lt;typename T &gt; </div>
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<td class="memname">bool is_prime </td>
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<td class="paramname"><em>num</em></td><td>)</td>
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<p>for IO operations </p>
<p>for assert Function to check if the given number is prime or not. </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">num</td><td>number to be checked. </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>if number is prime, it returns @ true, else it returns @ false. </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 24</span> {</div>
<div class="line"><span class="lineno"> 25</span> <span class="keywordtype">bool</span> <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a> = <span class="keyword">true</span>;</div>
<div class="line"><span class="lineno"> 26</span> <span class="keywordflow">if</span> (num &lt;= 1) {</div>
<div class="line"><span class="lineno"> 27</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><span class="lineno"> 28</span> } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (num == 2 || num == 3) {</div>
<div class="line"><span class="lineno"> 29</span> <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><span class="lineno"> 30</span> } <span class="keywordflow">else</span> <span class="keywordflow">if</span> ((num % 2) == 0 || num % 3 == 0) {</div>
<div class="line"><span class="lineno"> 31</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><span class="lineno"> 32</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><span class="lineno"> 33</span> <span class="keywordflow">for</span> (T i = 5; (i * i) &lt;= (num); i = (i + 6)) {</div>
<div class="line"><span class="lineno"> 34</span> <span class="keywordflow">if</span> ((num % i) == 0 || (num % (i + 2) == 0)) {</div>
<div class="line"><span class="lineno"> 35</span> <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a> = <span class="keyword">false</span>;</div>
<div class="line"><span class="lineno"> 36</span> <span class="keywordflow">break</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> }</div>
<div class="line"><span class="lineno"> 40</span> <span class="keywordflow">return</span> (result);</div>
<div class="line"><span class="lineno"> 41</span>}</div>
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<p>Main function </p>
<div class="fragment"><div class="line"><span class="lineno"> 46</span> {</div>
<div class="line"><span class="lineno"> 47</span> <span class="comment">// perform self-test</span></div>
<div class="line"><span class="lineno"> 48</span> assert(<a class="code hl_function" href="../../db/d93/check__prime_8cpp.html#aa18b3517017d99bb4024853bddba5532">is_prime</a>(50) == <span class="keyword">false</span>);</div>
<div class="line"><span class="lineno"> 49</span> assert(<a class="code hl_function" href="../../db/d93/check__prime_8cpp.html#aa18b3517017d99bb4024853bddba5532">is_prime</a>(115249) == <span class="keyword">true</span>);</div>
<div class="line"><span class="lineno"> 50</span> </div>
<div class="line"><span class="lineno"> 51</span> <span class="keywordtype">int</span> num = 0;</div>
<div class="line"><span class="lineno"> 52</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 to check if it is prime or not&quot;</span> &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><span class="lineno"> 53</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a> &gt;&gt; num;</div>
<div class="line"><span class="lineno"> 54</span> <span class="keywordtype">bool</span> <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a> = <a class="code hl_function" href="../../db/d93/check__prime_8cpp.html#aa18b3517017d99bb4024853bddba5532">is_prime</a>(num);</div>
<div class="line"><span class="lineno"> 55</span> <span class="keywordflow">if</span> (result) {</div>
<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; num &lt;&lt; <span class="stringliteral">&quot; is a prime number&quot;</span> &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><span class="lineno"> 57</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><span class="lineno"> 58</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; num &lt;&lt; <span class="stringliteral">&quot; is not a prime number&quot;</span> &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><span class="lineno"> 59</span> }</div>
<div class="line"><span class="lineno"> 60</span> </div>
<div class="line"><span class="lineno"> 61</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 62</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="aendl_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a></div><div class="ttdeci">T endl(T... args)</div></div>
<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"> 80</span> {</div>
<div class="line"><span class="lineno"> 81</span> <a class="code hl_function" href="../../db/d93/check__prime_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">tests</a>(); <span class="comment">// perform self-tests implementations</span></div>
<div class="line"><span class="lineno"> 82</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 83</span>}</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a483bb8ccf42aaf7375a83e91490eda1e">&#9670;&#160;</a></span>tests()</h2>
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<p>Self-test implementations. </p>
<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 61</span> {</div>
<div class="line"><span class="lineno"> 62</span> assert(<a class="code hl_function" href="../../dd/d47/namespacemath.html#abd8f794b2229b42876169ff841b6e444">math::is_prime</a>(1) == <span class="keyword">false</span>);</div>
<div class="line"><span class="lineno"> 63</span> assert(<a class="code hl_function" href="../../dd/d47/namespacemath.html#abd8f794b2229b42876169ff841b6e444">math::is_prime</a>(2) == <span class="keyword">true</span>);</div>
<div class="line"><span class="lineno"> 64</span> assert(<a class="code hl_function" href="../../dd/d47/namespacemath.html#abd8f794b2229b42876169ff841b6e444">math::is_prime</a>(3) == <span class="keyword">true</span>);</div>
<div class="line"><span class="lineno"> 65</span> assert(<a class="code hl_function" href="../../dd/d47/namespacemath.html#abd8f794b2229b42876169ff841b6e444">math::is_prime</a>(4) == <span class="keyword">false</span>);</div>
<div class="line"><span class="lineno"> 66</span> assert(<a class="code hl_function" href="../../dd/d47/namespacemath.html#abd8f794b2229b42876169ff841b6e444">math::is_prime</a>(-4) == <span class="keyword">false</span>);</div>
<div class="line"><span class="lineno"> 67</span> assert(<a class="code hl_function" href="../../dd/d47/namespacemath.html#abd8f794b2229b42876169ff841b6e444">math::is_prime</a>(7) == <span class="keyword">true</span>);</div>
<div class="line"><span class="lineno"> 68</span> assert(<a class="code hl_function" href="../../dd/d47/namespacemath.html#abd8f794b2229b42876169ff841b6e444">math::is_prime</a>(-7) == <span class="keyword">false</span>);</div>
<div class="line"><span class="lineno"> 69</span> assert(<a class="code hl_function" href="../../dd/d47/namespacemath.html#abd8f794b2229b42876169ff841b6e444">math::is_prime</a>(19) == <span class="keyword">true</span>);</div>
<div class="line"><span class="lineno"> 70</span> assert(<a class="code hl_function" href="../../dd/d47/namespacemath.html#abd8f794b2229b42876169ff841b6e444">math::is_prime</a>(50) == <span class="keyword">false</span>);</div>
<div class="line"><span class="lineno"> 71</span> assert(<a class="code hl_function" href="../../dd/d47/namespacemath.html#abd8f794b2229b42876169ff841b6e444">math::is_prime</a>(115249) == <span class="keyword">true</span>);</div>
<div class="line"><span class="lineno"> 72</span> </div>
<div class="line"><span class="lineno"> 73</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!&quot;</span> &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><span class="lineno"> 74</span>}</div>
<div class="ttc" id="abasic_ostream_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a></div></div>
<div class="ttc" id="aendl_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a></div><div class="ttdeci">T endl(T... args)</div></div>
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