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<div id="projectname">TheAlgorithms/C++<span id="projectnumber"> 1.0.0</span>
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<div class="center"><iframe scrolling="no" frameborder="0" src="../../d3/d39/check__prime_8cpp__incl.svg" width="171" height="111"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe></div>
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<p><a href="../../db/d93/check__prime_8cpp_source.html">Go to the source code of this file.</a></p>
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Namespaces</h2></td></tr>
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<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">namespace  </td><td class="memItemRight" valign="bottom"><a class="el" href="../../dd/d47/namespacemath.html">math</a></td></tr>
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<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>
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<dd>
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<a href="https://github.com/ewd00010" target="_blank">ewd00010</a> </dd></dl>
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<p class="definition">Definition in file <a class="el" href="../../db/d93/check__prime_8cpp_source.html">check_prime.cpp</a>.</p>
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</div><h2 class="groupheader">Function Documentation</h2>
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<a id="ae66f6b31b5ad750f1fe042a706a4e3d4" name="ae66f6b31b5ad750f1fe042a706a4e3d4"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#ae66f6b31b5ad750f1fe042a706a4e3d4">◆ </a></span>main()</h2>
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<p>Main function. </p>
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<dl class="section return"><dt>Returns</dt><dd>0 on exit </dd></dl>
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<p class="definition">Definition at line <a class="el" href="../../db/d93/check__prime_8cpp_source.html#l00081">81</a> of file <a class="el" href="../../db/d93/check__prime_8cpp_source.html">check_prime.cpp</a>.</p>
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<div class="fragment"><div class="line"><span class="lineno"> 81</span> {</div>
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<div class="line"><span class="lineno"> 82</span> <a class="code hl_function" href="#a483bb8ccf42aaf7375a83e91490eda1e">tests</a>(); <span class="comment">// perform self-tests implementations</span></div>
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<div class="line"><span class="lineno"> 83</span> <span class="keywordflow">return</span> 0;</div>
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<div class="line"><span class="lineno"> 84</span>}</div>
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<p>Self-test implementations. </p>
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<p class="definition">Definition at line <a class="el" href="../../db/d93/check__prime_8cpp_source.html#l00062">62</a> of file <a class="el" href="../../db/d93/check__prime_8cpp_source.html">check_prime.cpp</a>.</p>
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<div class="headertitle"><div class="title">check_prime.cpp</div></div>
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<a href="../../db/d93/check__prime_8cpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno"> 1</span> </div>
|
||||
<div class="line"><a id="l00017" name="l00017"></a><span class="lineno"> 17</span><span class="preprocessor">#include <cassert></span> </div>
|
||||
<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span><span class="preprocessor">#include <iostream></span> </div>
|
||||
<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"> 19</span> </div>
|
||||
<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span><span class="keyword">namespace </span><a class="code hl_namespace" href="../../dd/d47/namespacemath.html">math</a> {</div>
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<div class="foldopen" id="foldopen00031" data-start="{" data-end="}">
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<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"><a class="line" href="../../dd/d47/namespacemath.html#abd8f794b2229b42876169ff841b6e444"> 31</a></span><span class="keywordtype">bool</span> <a class="code hl_function" href="../../dd/d47/namespacemath.html#abd8f794b2229b42876169ff841b6e444">is_prime</a>(int64_t num) {</div>
|
||||
<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span> <span class="keywordflow">if</span> (num <= 1) {</div>
|
||||
<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
|
||||
<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span> } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (num == 2 || num == 3) {</div>
|
||||
<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span> <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
|
||||
<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span> } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (num % 2 == 0 || num % 3 == 0) {</div>
|
||||
<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
|
||||
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span> } <span class="keywordflow">else</span> {</div>
|
||||
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span> <span class="keywordflow">for</span> (int64_t i = 5; i * i <= num; i = i + 6) {</div>
|
||||
<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span> <span class="keywordflow">if</span> (num % i == 0 || num % (i + 2) == 0) {</div>
|
||||
<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
|
||||
<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span> }</div>
|
||||
<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span> }</div>
|
||||
<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span> }</div>
|
||||
<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span> <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
|
||||
<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span>}</div>
|
||||
</div>
|
||||
<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span>} <span class="comment">// namespace math</span></div>
|
||||
<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span> </div>
|
||||
<div class="foldopen" id="foldopen00062" data-start="{" data-end="}">
|
||||
<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"><a class="line" href="../../db/d93/check__prime_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e"> 62</a></span><span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code hl_function" href="../../db/d93/check__prime_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">tests</a>() {</div>
|
||||
<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</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"><a id="l00064" name="l00064"></a><span class="lineno"> 64</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"><a id="l00065" name="l00065"></a><span class="lineno"> 65</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"><a id="l00066" name="l00066"></a><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"><a id="l00067" name="l00067"></a><span class="lineno"> 67</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"><a id="l00068" name="l00068"></a><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">true</span>);</div>
|
||||
<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</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"><a id="l00070" name="l00070"></a><span class="lineno"> 70</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"><a id="l00071" name="l00071"></a><span class="lineno"> 71</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"><a id="l00072" name="l00072"></a><span class="lineno"> 72</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"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span> </div>
|
||||
<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span> std::cout << <span class="stringliteral">"All tests have successfully passed!"</span> << std::endl;</div>
|
||||
<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span>}</div>
|
||||
</div>
|
||||
<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> </div>
|
||||
<div class="foldopen" id="foldopen00081" data-start="{" data-end="}">
|
||||
<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"><a class="line" href="../../db/d93/check__prime_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4"> 81</a></span><span class="keywordtype">int</span> <a class="code hl_function" href="../../db/d93/check__prime_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a>() {</div>
|
||||
<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</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"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> <span class="keywordflow">return</span> 0;</div>
|
||||
<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span>}</div>
|
||||
</div>
|
||||
<div class="ttc" id="acheck__prime_8cpp_html_a483bb8ccf42aaf7375a83e91490eda1e"><div class="ttname"><a href="../../db/d93/check__prime_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">tests</a></div><div class="ttdeci">static void tests()</div><div class="ttdoc">Self-test implementations.</div><div class="ttdef"><b>Definition</b> <a href="#l00062">check_prime.cpp:62</a></div></div>
|
||||
<div class="ttc" id="acheck__prime_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../db/d93/check__prime_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdoc">Main function.</div><div class="ttdef"><b>Definition</b> <a href="#l00081">check_prime.cpp:81</a></div></div>
|
||||
<div class="ttc" id="anamespacemath_html"><div class="ttname"><a href="../../dd/d47/namespacemath.html">math</a></div><div class="ttdoc">for assert</div></div>
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<div class="ttc" id="anamespacemath_html_abd8f794b2229b42876169ff841b6e444"><div class="ttname"><a href="../../dd/d47/namespacemath.html#abd8f794b2229b42876169ff841b6e444">math::is_prime</a></div><div class="ttdeci">bool is_prime(int64_t num)</div><div class="ttdoc">Function to check if the given number is prime or not.</div><div class="ttdef"><b>Definition</b> <a href="#l00031">check_prime.cpp:31</a></div></div>
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