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d3/d39/check__prime_8cpp__incl.map
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d8/ddf/sieve__of__eratosthenes_8cpp.html
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@@ -118,7 +118,7 @@ Include dependency graph for sieve_of_eratosthenes.cpp:</div>
Functions</h2></td></tr>
<tr class="memitem:a7eebd5e7686a8db363f937b2f30d3818"><td class="memItemLeft" align="right" valign="top"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; bool &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d8/ddf/sieve__of__eratosthenes_8cpp.html#a7eebd5e7686a8db363f937b2f30d3818">sieve</a> (uint32_t N)</td></tr>
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<tr class="memitem:a235843bdf82d2a6cc8596ae8fd3b8df9"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d8/ddf/sieve__of__eratosthenes_8cpp.html#a235843bdf82d2a6cc8596ae8fd3b8df9">print</a> (uint32_t N, const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; bool &gt; &amp;<a class="el" href="../../db/d93/check__prime_8cpp.html#aa18b3517017d99bb4024853bddba5532">is_prime</a>)</td></tr>
<tr class="memitem:a235843bdf82d2a6cc8596ae8fd3b8df9"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d8/ddf/sieve__of__eratosthenes_8cpp.html#a235843bdf82d2a6cc8596ae8fd3b8df9">print</a> (uint32_t N, const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; bool &gt; &amp;is_prime)</td></tr>
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<tr class="memitem:a88ec9ad42717780d6caaff9d3d6977f9"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d8/ddf/sieve__of__eratosthenes_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">tests</a> ()</td></tr>
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@@ -152,19 +152,19 @@ Space Complexity : \(O(N)\)</p>
<div class="line"><span class="lineno"> 66</span> <a class="code hl_function" href="../../d8/ddf/sieve__of__eratosthenes_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">tests</a>();</div>
<div class="line"><span class="lineno"> 67</span> </div>
<div class="line"><span class="lineno"> 68</span> uint32_t <a class="code hl_variable" href="../../d6/d42/data__structures_2sparse__table_8cpp.html#a10f3ffb3f6f7e1b83d556b9c8de89a5d">N</a> = 100;</div>
<div class="line"><span class="lineno"> 69</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;bool&gt;</a> <a class="code hl_function" href="../../db/d93/check__prime_8cpp.html#aa18b3517017d99bb4024853bddba5532">is_prime</a> = <a class="code hl_function" href="../../d8/ddf/sieve__of__eratosthenes_8cpp.html#a7eebd5e7686a8db363f937b2f30d3818">sieve</a>(N);</div>
<div class="line"><span class="lineno"> 70</span> print(N, <a class="code hl_function" href="../../db/d93/check__prime_8cpp.html#aa18b3517017d99bb4024853bddba5532">is_prime</a>);</div>
<div class="line"><span class="lineno"> 69</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;bool&gt;</a> <a class="code hl_function" href="../../dd/d47/namespacemath.html#abd8f794b2229b42876169ff841b6e444">is_prime</a> = <a class="code hl_function" href="../../d8/ddf/sieve__of__eratosthenes_8cpp.html#a7eebd5e7686a8db363f937b2f30d3818">sieve</a>(N);</div>
<div class="line"><span class="lineno"> 70</span> print(N, is_prime);</div>
<div class="line"><span class="lineno"> 71</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 72</span>}</div>
<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="adata__structures_2sparse__table_8cpp_html_a10f3ffb3f6f7e1b83d556b9c8de89a5d"><div class="ttname"><a href="../../d6/d42/data__structures_2sparse__table_8cpp.html#a10f3ffb3f6f7e1b83d556b9c8de89a5d">data_structures::sparse_table::N</a></div><div class="ttdeci">constexpr uint32_t N</div><div class="ttdoc">A struct to represent sparse table for min() as their invariant function, for the given array A....</div><div class="ttdef"><b>Definition</b> sparse_table.cpp:47</div></div>
<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> check_prime.cpp:30</div></div>
<div class="ttc" id="asieve__of__eratosthenes_8cpp_html_a7eebd5e7686a8db363f937b2f30d3818"><div class="ttname"><a href="../../d8/ddf/sieve__of__eratosthenes_8cpp.html#a7eebd5e7686a8db363f937b2f30d3818">sieve</a></div><div class="ttdeci">std::vector&lt; bool &gt; sieve(uint32_t N)</div><div class="ttdef"><b>Definition</b> sieve_of_eratosthenes.cpp:26</div></div>
<div class="ttc" id="asieve__of__eratosthenes_8cpp_html_a88ec9ad42717780d6caaff9d3d6977f9"><div class="ttname"><a href="../../d8/ddf/sieve__of__eratosthenes_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">tests</a></div><div class="ttdeci">void tests()</div><div class="ttdef"><b>Definition</b> sieve_of_eratosthenes.cpp:56</div></div>
<div class="ttc" id="avector_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a></div></div>
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Here is the call graph for this function:</div>
<div class="dyncontent">
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@@ -203,7 +203,7 @@ Here is the call graph for this function:</div>
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<div class="fragment"><div class="line"><span class="lineno"> 44</span> {</div>
<div class="line"><span class="lineno"> 45</span> <span class="keywordflow">for</span> (uint32_t i = 2; i &lt;= <a class="code hl_variable" href="../../d6/d42/data__structures_2sparse__table_8cpp.html#a10f3ffb3f6f7e1b83d556b9c8de89a5d">N</a>; i++) {</div>
<div class="line"><span class="lineno"> 46</span> <span class="keywordflow">if</span> (<a class="code hl_function" href="../../db/d93/check__prime_8cpp.html#aa18b3517017d99bb4024853bddba5532">is_prime</a>[i]) {</div>
<div class="line"><span class="lineno"> 46</span> <span class="keywordflow">if</span> (is_prime[i]) {</div>
<div class="line"><span class="lineno"> 47</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; i &lt;&lt; <span class="charliteral">&#39; &#39;</span>;</div>
<div class="line"><span class="lineno"> 48</span> }</div>
<div class="line"><span class="lineno"> 49</span> }</div>
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</dl>
<dl class="section return"><dt>Returns</dt><dd>is_prime a vector of <code>N + 1</code> booleans identifying if <code>i</code>^th number is a prime or not </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 26</span> {</div>
<div class="line"><span class="lineno"> 27</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;bool&gt;</a> <a class="code hl_function" href="../../db/d93/check__prime_8cpp.html#aa18b3517017d99bb4024853bddba5532">is_prime</a>(N + 1, <span class="keyword">true</span>);</div>
<div class="line"><span class="lineno"> 28</span> <a class="code hl_function" href="../../db/d93/check__prime_8cpp.html#aa18b3517017d99bb4024853bddba5532">is_prime</a>[0] = <a class="code hl_function" href="../../db/d93/check__prime_8cpp.html#aa18b3517017d99bb4024853bddba5532">is_prime</a>[1] = <span class="keyword">false</span>;</div>
<div class="line"><span class="lineno"> 27</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;bool&gt;</a> <a class="code hl_function" href="../../dd/d47/namespacemath.html#abd8f794b2229b42876169ff841b6e444">is_prime</a>(N + 1, <span class="keyword">true</span>);</div>
<div class="line"><span class="lineno"> 28</span> <a class="code hl_function" href="../../dd/d47/namespacemath.html#abd8f794b2229b42876169ff841b6e444">is_prime</a>[0] = <a class="code hl_function" href="../../dd/d47/namespacemath.html#abd8f794b2229b42876169ff841b6e444">is_prime</a>[1] = <span class="keyword">false</span>;</div>
<div class="line"><span class="lineno"> 29</span> <span class="keywordflow">for</span> (uint32_t i = 2; i * i &lt;= <a class="code hl_variable" href="../../d6/d42/data__structures_2sparse__table_8cpp.html#a10f3ffb3f6f7e1b83d556b9c8de89a5d">N</a>; i++) {</div>
<div class="line"><span class="lineno"> 30</span> <span class="keywordflow">if</span> (<a class="code hl_function" href="../../db/d93/check__prime_8cpp.html#aa18b3517017d99bb4024853bddba5532">is_prime</a>[i]) {</div>
<div class="line"><span class="lineno"> 30</span> <span class="keywordflow">if</span> (is_prime[i]) {</div>
<div class="line"><span class="lineno"> 31</span> <span class="keywordflow">for</span> (uint32_t j = i * i; j &lt;= <a class="code hl_variable" href="../../d6/d42/data__structures_2sparse__table_8cpp.html#a10f3ffb3f6f7e1b83d556b9c8de89a5d">N</a>; j += i) {</div>
<div class="line"><span class="lineno"> 32</span> <a class="code hl_function" href="../../db/d93/check__prime_8cpp.html#aa18b3517017d99bb4024853bddba5532">is_prime</a>[j] = <span class="keyword">false</span>;</div>
<div class="line"><span class="lineno"> 32</span> <a class="code hl_function" href="../../dd/d47/namespacemath.html#abd8f794b2229b42876169ff841b6e444">is_prime</a>[j] = <span class="keyword">false</span>;</div>
<div class="line"><span class="lineno"> 33</span> }</div>
<div class="line"><span class="lineno"> 34</span> }</div>
<div class="line"><span class="lineno"> 35</span> }</div>
<div class="line"><span class="lineno"> 36</span> <span class="keywordflow">return</span> <a class="code hl_function" href="../../db/d93/check__prime_8cpp.html#aa18b3517017d99bb4024853bddba5532">is_prime</a>;</div>
<div class="line"><span class="lineno"> 36</span> <span class="keywordflow">return</span> <a class="code hl_function" href="../../dd/d47/namespacemath.html#abd8f794b2229b42876169ff841b6e444">is_prime</a>;</div>
<div class="line"><span class="lineno"> 37</span>}</div>
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<div class="headertitle"><div class="title">check_prime.cpp File Reference</div></div>
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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)
<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 />
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Namespaces</h2></td></tr>
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<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>
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<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>
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<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>
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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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<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>
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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>
<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>
@@ -190,32 +153,68 @@ template&lt;typename T &gt; </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>
<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="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>
<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>
<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> check_prime.cpp:61</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#a483bb8ccf42aaf7375a83e91490eda1e">&#9670;&#160;</a></span>tests()</h2>
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<td class="memname">static void tests </td>
<td>(</td>
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<td></td>
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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>
<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> check_prime.cpp:30</div></div>
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<td class="memname">bool math::is_prime </td>
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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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<dl class="section return"><dt>Returns</dt><dd>true if number is a prime </dd>
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<p>Reduce all possibilities of a number which cannot be prime with the first 3 if, else if conditionals. Example: Since no even number, except 2 can be a prime number and the next prime we find after our checks is 5, we will start the for loop with i = 5. then for each loop we increment i by +6 and check if i or i+2 is a factor of the number; if it's a factor then we will return false. otherwise, true will be returned after the loop terminates at the terminating condition which is i*i &lt;= num</p>
<div class="fragment"><div class="line"><span class="lineno"> 30</span> {<span class="comment"></span></div>
<div class="line"><span class="lineno"> 31</span><span class="comment"> /*!</span></div>
<div class="line"><span class="lineno"> 32</span><span class="comment"> * Reduce all possibilities of a number which cannot be prime with the first</span></div>
<div class="line"><span class="lineno"> 33</span><span class="comment"> * 3 if, else if conditionals. Example: Since no even number, except 2 can</span></div>
<div class="line"><span class="lineno"> 34</span><span class="comment"> * be a prime number and the next prime we find after our checks is 5,</span></div>
<div class="line"><span class="lineno"> 35</span><span class="comment"> * we will start the for loop with i = 5. then for each loop we increment</span></div>
<div class="line"><span class="lineno"> 36</span><span class="comment"> * i by +6 and check if i or i+2 is a factor of the number; if it&#39;s a factor</span></div>
<div class="line"><span class="lineno"> 37</span><span class="comment"> * then we will return false. otherwise, true will be returned after the</span></div>
<div class="line"><span class="lineno"> 38</span><span class="comment"> * loop terminates at the terminating condition which is i*i &lt;= num</span></div>
<div class="line"><span class="lineno"> 39</span><span class="comment"> */</span></div>
<div class="line"><span class="lineno"> 40</span> <span class="keywordflow">if</span> (num &lt;= 1) {</div>
<div class="line"><span class="lineno"> 41</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><span class="lineno"> 42</span> } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (num == 2 || num == 3) {</div>
<div class="line"><span class="lineno"> 43</span> <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><span class="lineno"> 44</span> } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (num % 2 == 0 || num % 3 == 0) {</div>
<div class="line"><span class="lineno"> 45</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><span class="lineno"> 46</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><span class="lineno"> 47</span> <span class="keywordflow">for</span> (int64_t i = 5; i * i &lt;= num; i = i + 6) {</div>
<div class="line"><span class="lineno"> 48</span> <span class="keywordflow">if</span> (num % i == 0 || num % (i + 2) == 0) {</div>
<div class="line"><span class="lineno"> 49</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><span class="lineno"> 50</span> }</div>
<div class="line"><span class="lineno"> 51</span> }</div>
<div class="line"><span class="lineno"> 52</span> }</div>
<div class="line"><span class="lineno"> 53</span> <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><span class="lineno"> 54</span> }</div>
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<tr class="memitem:"><td class="memItemLeft" align="right" valign="top"><span class="icondoc"></span>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="db/d93/check__prime_8cpp.html">check_prime.cpp</a></td></tr>
<tr class="memdesc:db/d93/check__prime_8cpp"><td class="mdescLeft">&#160;</td><td class="mdescRight">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) <br /></td></tr>
<tr class="memdesc:db/d93/check__prime_8cpp"><td class="mdescLeft">&#160;</td><td class="mdescRight">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. <br /></td></tr>
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<tr class="memitem:"><td class="memItemLeft" align="right" valign="top"><span class="icondoc"></span>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="d5/d67/complex__numbers_8cpp.html">complex_numbers.cpp</a></td></tr>
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<tr id="row_14_9_" class="odd" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d5/d67/complex__numbers_8cpp.html" target="_self">complex_numbers.cpp</a></td><td class="desc">An implementation of <a class="el" href="da/d5a/class_complex.html" title="Class Complex to represent complex numbers as a field.">Complex</a> Number as Objects </td></tr>
<tr id="row_14_10_" class="odd" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d7/d89/double__factorial_8cpp.html" target="_self">double_factorial.cpp</a></td><td class="desc">Compute <a href="https://en.wikipedia.org/wiki/Double_factorial" target="_blank">double factorial</a>: \(n!!\) </td></tr>
<tr id="row_14_11_" class="odd" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d7/da6/eratosthenes_8cpp.html" target="_self">eratosthenes.cpp</a></td><td class="desc"><a href="https://en.wikipedia.org/wiki/Sieve_of_Eratosthenes" target="_blank">The Sieve of Eratosthenes</a> </td></tr>

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globals_func_i.html
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<li>InterpolationSearch()&#160;:&#160;<a class="el" href="df/d39/interpolation__search2_8cpp.html#aa3ec659ec8394d186c761df81ad1f629">interpolation_search2.cpp</a></li>
<li>is_armstrong()&#160;:&#160;<a class="el" href="d4/d5d/math_2armstrong__number_8cpp.html#a9cebd92bc70890c3cfa261d68a5016e7">armstrong_number.cpp</a></li>
<li>is_happy()&#160;:&#160;<a class="el" href="db/df3/happy__number_8cpp.html#a00ccdb1166a7c83ac3c33ac67a2532b7">happy_number.cpp</a></li>
<li>is_prime()&#160;:&#160;<a class="el" href="db/d93/check__prime_8cpp.html#aa18b3517017d99bb4024853bddba5532">check_prime.cpp</a></li>
<li>is_square()&#160;:&#160;<a class="el" href="dc/d38/ordinary__least__squares__regressor_8cpp.html#a8fa731952b0ee3bc7ec51c51ed21911e">ordinary_least_squares_regressor.cpp</a></li>
<li>IsPrime()&#160;:&#160;<a class="el" href="da/d7b/primality__test_8cpp.html#a2bfa6adead2bdcbf1dac94cbe08d7eaf">primality_test.cpp</a></li>
<li>isPrime()&#160;:&#160;<a class="el" href="d8/d53/modular__inverse__fermat__little__theorem_8cpp.html#a09660096b134753128952246f4f4e4bd">modular_inverse_fermat_little_theorem.cpp</a></li>

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globals_func_t.html
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<li>test_int()&#160;:&#160;<a class="el" href="d3/d4c/quick__sort__3_8cpp.html#a07e5c62de28aeddea986890ce7ac1bda">quick_sort_3.cpp</a>, <a class="el" href="d4/d7a/shell__sort2_8cpp.html#a895b313cb2671e8f712040460325573e">shell_sort2.cpp</a></li>
<li>test_lamniscate()&#160;:&#160;<a class="el" href="d9/d49/kohonen__som__trace_8cpp.html#a53082f2e5bacec40266499da4547309a">kohonen_som_trace.cpp</a></li>
<li>test_remove()&#160;:&#160;<a class="el" href="df/d42/binary__search__tree2_8cpp.html#ab1333c3ea06dcad896ee204bbd407c4e">binary_search_tree2.cpp</a></li>
<li>tests()&#160;:&#160;<a class="el" href="d7/d07/bidirectional__dijkstra_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">bidirectional_dijkstra.cpp</a>, <a class="el" href="df/d82/breadth__first__search_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">breadth_first_search.cpp</a>, <a class="el" href="df/ddd/connected__components_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">connected_components.cpp</a>, <a class="el" href="da/d4b/depth__first__search__with__stack_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">depth_first_search_with_stack.cpp</a>, <a class="el" href="d7/d1e/graph_2dijkstra_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">dijkstra.cpp</a>, <a class="el" href="d1/d9a/hopcroft__karp_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">hopcroft_karp.cpp</a>, <a class="el" href="de/dde/lowest__common__ancestor_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">lowest_common_ancestor.cpp</a>, <a class="el" href="de/d88/travelling__salesman__problem_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">travelling_salesman_problem.cpp</a>, <a class="el" href="d4/d6c/boruvkas__minimum__spanning__tree_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">boruvkas_minimum_spanning_tree.cpp</a>, <a class="el" href="d8/db1/binomial__calculate_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">binomial_calculate.cpp</a>, <a class="el" href="d8/dd5/check__factorial_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">check_factorial.cpp</a>, <a class="el" href="d5/d67/complex__numbers_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">complex_numbers.cpp</a>, <a class="el" href="d7/d89/double__factorial_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">double_factorial.cpp</a>, <a class="el" href="d4/d21/least__common__multiple_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">least_common_multiple.cpp</a>, <a class="el" href="d9/d44/magic__number_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">magic_number.cpp</a>, <a class="el" href="d6/d42/miller__rabin_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">miller_rabin.cpp</a>, <a class="el" href="de/dab/ncr__modulo__p_8cpp.html#af0a3e6827f41c151e47451f5ff98b1f1">ncr_modulo_p.cpp</a>, <a class="el" href="d0/da2/number__of__positive__divisors_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">number_of_positive_divisors.cpp</a>, <a class="el" href="d8/ddf/sieve__of__eratosthenes_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">sieve_of_eratosthenes.cpp</a>, <a class="el" href="db/d6b/kelvin__to__celsius_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">kelvin_to_celsius.cpp</a>, <a class="el" href="dc/de1/recursive__tree__traversal_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">recursive_tree_traversal.cpp</a>, <a class="el" href="d9/d02/linear__search_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">linear_search.cpp</a>, <a class="el" href="d9/dfd/comb__sort_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">comb_sort.cpp</a>, <a class="el" href="dd/d0d/insertion__sort_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">insertion_sort.cpp</a>, <a class="el" href="d1/d21/quick__sort_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">quick_sort.cpp</a>, <a class="el" href="d8/d61/radix__sort2_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">radix_sort2.cpp</a></li>
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<li>TH()&#160;:&#160;<a class="el" href="db/d3c/tower__of__hanoi_8cpp.html#ab037f72a5eac476535a6cfbbcb965417">tower_of_hanoi.cpp</a></li>
<li>tolowerRoman()&#160;:&#160;<a class="el" href="de/d85/decimal__to__roman__numeral_8cpp.html#a003fb4e1b08279fe4cd50fbbc2782c2d">decimal_to_roman_numeral.cpp</a></li>
<li>toupperRoman()&#160;:&#160;<a class="el" href="de/d85/decimal__to__roman__numeral_8cpp.html#a214743638eff1336f835310049aef979">decimal_to_roman_numeral.cpp</a></li>

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<li>is_armstrong()&#160;:&#160;<a class="el" href="d4/d5d/math_2armstrong__number_8cpp.html#a9cebd92bc70890c3cfa261d68a5016e7">armstrong_number.cpp</a></li>
<li>is_happy()&#160;:&#160;<a class="el" href="db/df3/happy__number_8cpp.html#a00ccdb1166a7c83ac3c33ac67a2532b7">happy_number.cpp</a></li>
<li>is_prime()&#160;:&#160;<a class="el" href="db/d93/check__prime_8cpp.html#aa18b3517017d99bb4024853bddba5532">check_prime.cpp</a></li>
<li>is_square()&#160;:&#160;<a class="el" href="dc/d38/ordinary__least__squares__regressor_8cpp.html#a8fa731952b0ee3bc7ec51c51ed21911e">ordinary_least_squares_regressor.cpp</a></li>
<li>IsPrime()&#160;:&#160;<a class="el" href="da/d7b/primality__test_8cpp.html#a2bfa6adead2bdcbf1dac94cbe08d7eaf">primality_test.cpp</a></li>
<li>isprime&#160;:&#160;<a class="el" href="db/d0d/prime__factorization_8cpp.html#a7fe38b570a51e448430d6a0f072c2f23">prime_factorization.cpp</a></li>

2
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<li>test_lamniscate()&#160;:&#160;<a class="el" href="d9/d49/kohonen__som__trace_8cpp.html#a53082f2e5bacec40266499da4547309a">kohonen_som_trace.cpp</a></li>
<li>test_remove()&#160;:&#160;<a class="el" href="df/d42/binary__search__tree2_8cpp.html#ab1333c3ea06dcad896ee204bbd407c4e">binary_search_tree2.cpp</a></li>
<li>test_set&#160;:&#160;<a class="el" href="d3/d7d/brute__force__string__searching_8cpp.html#ae2abaa9caa13fff35e45edca00bee123">brute_force_string_searching.cpp</a></li>
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