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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+2 jumping on all odd numbers only. If number is <= 1 or if it is even except 2, break the loop and return false telling number is not prime.
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<a href="#details">More...</a></p>
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<div class="textblock"><code>#include <cassert></code><br />
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<code>#include <iostream></code><br />
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</div><div class="textblock"><div class="dynheader">
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Include dependency graph for check_prime.cpp:</div>
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<div class="dyncontent">
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
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Functions</h2></td></tr>
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<tr class="memitem:aa18b3517017d99bb4024853bddba5532"><td class="memTemplParams" colspan="2">template<typename T > </td></tr>
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<tr class="memitem:aa18b3517017d99bb4024853bddba5532"><td class="memTemplItemLeft" align="right" valign="top">bool </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../db/d93/check__prime_8cpp.html#aa18b3517017d99bb4024853bddba5532">is_prime</a> (T num)</td></tr>
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<tr class="separator:aa18b3517017d99bb4024853bddba5532"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memItemLeft" align="right" valign="top">int </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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<tr class="separator:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memSeparator" colspan="2"> </td></tr>
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</table>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
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<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+2 jumping on all odd numbers only. If number is <= 1 or if it is even except 2, break the loop and return false telling number is not prime. </p>
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<p>Copyright 2020 </p><dl class="section author"><dt>Author</dt><dd>omkarlanghe</dd></dl>
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<p>A simple program to check if the given number if prime or not. </p>
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</div><h2 class="groupheader">Function Documentation</h2>
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<a id="aa18b3517017d99bb4024853bddba5532"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#aa18b3517017d99bb4024853bddba5532">◆ </a></span>is_prime()</h2>
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<div class="memtemplate">
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template<typename T > </div>
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<table class="memname">
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<tr>
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<td class="memname">bool is_prime </td>
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<td>(</td>
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<td class="paramtype">T </td>
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<td class="paramname"><em>num</em></td><td>)</td>
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<td></td>
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</div><div class="memdoc">
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<p>Function to check if the given number is prime or not. </p><dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramname">num</td><td>number to be checked. </td></tr>
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</table>
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</dd>
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</dl>
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<dl class="section return"><dt>Returns</dt><dd>if number is prime, it returns @ true, else it returns @ false. </dd></dl>
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<div class="fragment"><div class="line"><a name="l00022"></a><span class="lineno"> 22</span>  {</div>
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<div class="line"><a name="l00023"></a><span class="lineno"> 23</span>  <span class="keywordtype">bool</span> <a class="code" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a> = <span class="keyword">true</span>;</div>
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<div class="line"><a name="l00024"></a><span class="lineno"> 24</span>  <span class="keywordflow">if</span> (num <= 1) {</div>
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<div class="line"><a name="l00025"></a><span class="lineno"> 25</span>  <span class="keywordflow">return</span> 0;</div>
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<div class="line"><a name="l00026"></a><span class="lineno"> 26</span>  } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (num == 2) {</div>
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<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>  <span class="keywordflow">return</span> 1;</div>
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<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>  } <span class="keywordflow">else</span> <span class="keywordflow">if</span> ((num & 1) == 0) {</div>
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<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>  <span class="keywordflow">return</span> 0;</div>
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<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>  }</div>
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<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  <span class="keywordflow">if</span> (num >= 3) {</div>
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<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>  <span class="keywordflow">for</span> (T i = 3; (i * i) < (num); i = (i + 2)) {</div>
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<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>  <span class="keywordflow">if</span> ((num % i) == 0) {</div>
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<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  <a class="code" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a> = <span class="keyword">false</span>;</div>
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<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  <span class="keywordflow">break</span>;</div>
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<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  }</div>
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<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  }</div>
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<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  }</div>
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<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>  <span class="keywordflow">return</span> (result);</div>
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<div class="line"><a name="l00040"></a><span class="lineno"> 40</span> }</div>
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<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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<a id="ae66f6b31b5ad750f1fe042a706a4e3d4"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#ae66f6b31b5ad750f1fe042a706a4e3d4">◆ </a></span>main()</h2>
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<td class="memname">int main </td>
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<td>(</td>
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<td class="paramtype">void </td>
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<td class="paramname"></td><td>)</td>
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<td></td>
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</div><div class="memdoc">
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<p>Main function </p>
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<div class="fragment"><div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  {</div>
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<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  <span class="comment">// perform self-test</span></div>
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<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  assert(<a class="code" href="../../db/d93/check__prime_8cpp.html#aa18b3517017d99bb4024853bddba5532">is_prime</a>(50) == <span class="keyword">false</span>);</div>
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<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  assert(<a class="code" href="../../db/d93/check__prime_8cpp.html#aa18b3517017d99bb4024853bddba5532">is_prime</a>(115249) == <span class="keyword">true</span>);</div>
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<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  </div>
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<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  <span class="keywordtype">int</span> num;</div>
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<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"Enter the number to check if it is prime or not"</span> << <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a> >> num;</div>
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<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  <span class="keywordtype">bool</span> <a class="code" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a> = <a class="code" href="../../db/d93/check__prime_8cpp.html#aa18b3517017d99bb4024853bddba5532">is_prime</a>(num);</div>
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<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  <span class="keywordflow">if</span> (result) {</div>
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<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << num << <span class="stringliteral">" is a prime number"</span> << <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  } <span class="keywordflow">else</span> {</div>
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<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << num << <span class="stringliteral">" is not a prime number"</span> << <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  }</div>
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<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  </div>
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<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  <span class="keywordflow">return</span> 0;</div>
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<div class="line"><a name="l00061"></a><span class="lineno"> 61</span> }</div>
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<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="abasic_ostream_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</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="ttdef"><b>Definition:</b> check_prime.cpp:22</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>
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