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<div id="projectname">TheAlgorithms/C++<span id="projectnumber"> 1.0.0</span>
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<div class="dyncontent">
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<div class="center"><iframe scrolling="no" frameborder="0" src="../../d9/d7d/primality__test_8cpp__incl.svg" width="175" 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="../../da/d7b/primality__test_8cpp_source.html">Go to the source code of this file.</a></p>
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<table class="memberdecls">
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="func-members" name="func-members"></a>
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Functions</h2></td></tr>
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<tr class="memitem:a2bfa6adead2bdcbf1dac94cbe08d7eaf" id="r_a2bfa6adead2bdcbf1dac94cbe08d7eaf"><td class="memItemLeft" align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="#a2bfa6adead2bdcbf1dac94cbe08d7eaf">IsPrime</a> (int number)</td></tr>
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@@ -131,6 +150,8 @@ Functions</h2></td></tr>
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||||
<p>A simple and efficient implementation of a function to test if a number is prime, based on the fact that </p><blockquote class="doxtable">
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<p>‍Every Prime number, except 2 and 3, are of the form \(6k\pm1\) for integer values of k. This gives a 3x speed improvement. </p>
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</blockquote>
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<p class="definition">Definition in file <a class="el" href="../../da/d7b/primality__test_8cpp_source.html">primality_test.cpp</a>.</p>
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</div><h2 class="groupheader">Function Documentation</h2>
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<a id="a2bfa6adead2bdcbf1dac94cbe08d7eaf" name="a2bfa6adead2bdcbf1dac94cbe08d7eaf"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#a2bfa6adead2bdcbf1dac94cbe08d7eaf">◆ </a></span>IsPrime()</h2>
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@@ -153,6 +174,8 @@ Functions</h2></td></tr>
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</dd>
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</dl>
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<dl class="section return"><dt>Returns</dt><dd>true if prime else false </dd></dl>
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<p class="definition">Definition at line <a class="el" href="../../da/d7b/primality__test_8cpp_source.html#l00018">18</a> of file <a class="el" href="../../da/d7b/primality__test_8cpp_source.html">primality_test.cpp</a>.</p>
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<div class="fragment"><div class="line"><span class="lineno"> 18</span> {</div>
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<div class="line"><span class="lineno"> 19</span> <span class="keywordflow">if</span> (((!(number & 1)) && number != 2) || (number < 2) ||</div>
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<div class="line"><span class="lineno"> 20</span> (number % 3 == 0 && number != 3))</div>
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<div class="line"><span class="lineno"> 26</span> }</div>
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<div class="line"><span class="lineno"> 27</span> <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
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<div class="line"><span class="lineno"> 28</span>}</div>
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<div class="ttc" id="acomposite__simpson__rule_8cpp_html_a1b74d828b33760094906797042b89442"><div class="ttname"><a href="../../d4/d18/composite__simpson__rule_8cpp.html#a1b74d828b33760094906797042b89442">numerical_methods::simpson_method::k</a></div><div class="ttdeci">double k(double x)</div><div class="ttdoc">Another test function.</div><div class="ttdef"><b>Definition</b> composite_simpson_rule.cpp:117</div></div>
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<div class="ttc" id="acomposite__simpson__rule_8cpp_html_a1b74d828b33760094906797042b89442"><div class="ttname"><a href="../../d4/d18/composite__simpson__rule_8cpp.html#a1b74d828b33760094906797042b89442">numerical_methods::simpson_method::k</a></div><div class="ttdeci">double k(double x)</div><div class="ttdoc">Another test function.</div><div class="ttdef"><b>Definition</b> <a href="../../d4/d18/composite__simpson__rule_8cpp_source.html#l00117">composite_simpson_rule.cpp:117</a></div></div>
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<p>main function </p>
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<p class="definition">Definition at line <a class="el" href="../../da/d7b/primality__test_8cpp_source.html#l00031">31</a> of file <a class="el" href="../../da/d7b/primality__test_8cpp_source.html">primality_test.cpp</a>.</p>
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<div class="fragment"><div class="line"><span class="lineno"> 31</span> {</div>
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<div class="line"><span class="lineno"> 32</span> <span class="comment">// Main Function</span></div>
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<div class="line"><span class="lineno"> 33</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"Enter the value of n to check if Prime\n"</span>;</div>
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<div class="line"><span class="lineno"> 33</span> std::cout << <span class="stringliteral">"Enter the value of n to check if Prime\n"</span>;</div>
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<div class="line"><span class="lineno"> 35</span> std::cin >> n;</div>
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<div class="line"><span class="lineno"> 37</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << n << <span class="stringliteral">" is Prime"</span> << <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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<div class="line"><span class="lineno"> 37</span> std::cout << n << <span class="stringliteral">" is Prime"</span> << std::endl;</div>
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<div class="line"><span class="lineno"> 38</span> <span class="keywordflow">else</span></div>
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<div class="line"><span class="lineno"> 39</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << n << <span class="stringliteral">" is not Prime"</span> << <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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<div class="line"><span class="lineno"> 39</span> std::cout << n << <span class="stringliteral">" is not Prime"</span> << std::endl;</div>
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<div class="line"><span class="lineno"> 40</span> </div>
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<div class="line"><span class="lineno"> 41</span> <span class="keywordflow">return</span> 0;</div>
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<a href="../../da/d7b/primality__test_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>
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<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span> </div>
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|
||||
<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span> <span class="keywordflow">if</span> ((number % (6 * k + 1) == 0) || (number % (6 * k - 1) == 0))</div>
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<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"><a class="line" href="../../da/d7b/primality__test_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4"> 31</a></span><span class="keywordtype">int</span> <a class="code hl_function" href="../../da/d7b/primality__test_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a>() {</div>
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<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span> std::cout << <span class="stringliteral">"Enter the value of n to check if Prime\n"</span>;</div>
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<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span> </div>
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<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span>}</div>
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