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<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)
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &lt;cassert&gt;</code><br />
<code>#include &lt;iostream&gt;</code><br />
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Include dependency graph for check_prime.cpp:</div>
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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: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>
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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><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>
<td>(</td>
<td class="paramtype">T&#160;</td>
<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>
<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>
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<h2 class="memtitle"><span class="permalink"><a href="#ae66f6b31b5ad750f1fe042a706a4e3d4">&#9670;&#160;</a></span>main()</h2>
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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="acheck__prime_8cpp_html_aa18b3517017d99bb4024853bddba5532"><div class="ttname"><a href="../../db/d93/check__prime_8cpp.html#aa18b3517017d99bb4024853bddba5532">is_prime</a></div><div class="ttdeci">bool is_prime(T num)</div><div class="ttdoc">for IO operations</div><div class="ttdef"><b>Definition:</b> check_prime.cpp:24</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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