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<p>Get list of prime numbers using Sieve of Eratosthenes Sieve of Eratosthenes is an algorithm to find the primes that is between 2 to N (as defined in main).
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &lt;iostream&gt;</code><br />
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Include dependency graph for sieve_of_eratosthenes.cpp:</div>
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Macros</h2></td></tr>
<tr class="memitem:a392fb874e547e582e9c66a08a1f23326"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d8/ddf/sieve__of__eratosthenes_8cpp.html#a392fb874e547e582e9c66a08a1f23326">MAX</a>&#160;&#160;&#160;10000000</td></tr>
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Functions</h2></td></tr>
<tr class="memitem:abce89d8999986f085c368969590376b8"><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#abce89d8999986f085c368969590376b8">sieve</a> (uint32_t N)</td></tr>
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<tr class="memitem:af50a5c87d27cfd3462745b37fb9b0f46"><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#af50a5c87d27cfd3462745b37fb9b0f46">print</a> (uint32_t N)</td></tr>
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<tr class="memitem:a02fd73d861ef2e4aabb38c0c9ff82947"><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#a02fd73d861ef2e4aabb38c0c9ff82947">init</a> ()</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="../../d8/ddf/sieve__of__eratosthenes_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a> ()</td></tr>
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Variables</h2></td></tr>
<tr class="memitem:a0560e21edb54d5ad8d80b2d80348ce22"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d8/ddf/sieve__of__eratosthenes_8cpp.html#a0560e21edb54d5ad8d80b2d80348ce22">isprime</a> [<a class="el" href="../../d4/d32/fibonacci__fast_8cpp.html#a692ac7187ee88621a9f78fca78ec498d">MAX</a>]</td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p>Get list of prime numbers using Sieve of Eratosthenes Sieve of Eratosthenes is an algorithm to find the primes that is between 2 to N (as defined in main). </p>
<p>Time Complexity : \(O(N \cdot\log N)\) <br />
Space Complexity : \(O(N)\)</p>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="../../d4/d9c/primes__up__to__billion_8cpp.html" title="Compute prime numbers upto 1 billion.">primes_up_to_billion.cpp</a> <a class="el" href="../../de/d9b/prime__numbers_8cpp.html" title="Get list of prime numbers.">prime_numbers.cpp</a> </dd></dl>
</div><h2 class="groupheader">Macro Definition Documentation</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#a392fb874e547e582e9c66a08a1f23326">&#9670;&nbsp;</a></span>MAX</h2>
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<td class="memname">#define MAX&#160;&#160;&#160;10000000</td>
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<p>Maximum number of primes </p>
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<h2 class="groupheader">Function Documentation</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#a02fd73d861ef2e4aabb38c0c9ff82947">&#9670;&nbsp;</a></span>init()</h2>
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<td class="memname">void init </td>
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<p>Initialize the array </p>
<div class="fragment"><div class="line"><a name="l00052"></a><span class="lineno"> 52</span>&#160; {</div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>&#160; <span class="keywordflow">for</span> (uint32_t i = 1; i &lt; <a class="code" href="../../d8/ddf/sieve__of__eratosthenes_8cpp.html#a392fb874e547e582e9c66a08a1f23326">MAX</a>; i++) {</div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>&#160; <a class="code" href="../../d8/ddf/sieve__of__eratosthenes_8cpp.html#a0560e21edb54d5ad8d80b2d80348ce22">isprime</a>[i] = <span class="keyword">true</span>;</div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>&#160; }</div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>&#160;}</div>
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<h2 class="memtitle"><span class="permalink"><a href="#ae66f6b31b5ad750f1fe042a706a4e3d4">&#9670;&nbsp;</a></span>main()</h2>
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<td class="memname">int main </td>
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<p>main function </p>
<div class="fragment"><div class="line"><a name="l00059"></a><span class="lineno"> 59</span>&#160; {</div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>&#160; uint32_t N = 100;</div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>&#160; <a class="code" href="../../d8/ddf/sieve__of__eratosthenes_8cpp.html#a02fd73d861ef2e4aabb38c0c9ff82947">init</a>();</div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>&#160; <a class="code" href="../../d8/ddf/sieve__of__eratosthenes_8cpp.html#abce89d8999986f085c368969590376b8">sieve</a>(N);</div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>&#160; <a class="code" href="../../d8/ddf/sieve__of__eratosthenes_8cpp.html#af50a5c87d27cfd3462745b37fb9b0f46">print</a>(N);</div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>&#160; <span class="keywordflow">return</span> 0;</div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>&#160;}</div>
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<h2 class="memtitle"><span class="permalink"><a href="#af50a5c87d27cfd3462745b37fb9b0f46">&#9670;&nbsp;</a></span>print()</h2>
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<td class="memname">void print </td>
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<td class="paramtype">uint32_t&#160;</td>
<td class="paramname"><em>N</em></td><td>)</td>
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<p>This function prints out the primes to STDOUT </p>
<div class="fragment"><div class="line"><a name="l00040"></a><span class="lineno"> 40</span>&#160; {</div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>&#160; <span class="keywordflow">for</span> (uint32_t i = 1; i &lt;= N; i++) {</div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="../../d8/ddf/sieve__of__eratosthenes_8cpp.html#a0560e21edb54d5ad8d80b2d80348ce22">isprime</a>[i]) {</div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>&#160; <a class="codeRef" 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"><a name="l00044"></a><span class="lineno"> 44</span>&#160; }</div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>&#160; }</div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>&#160;}</div>
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<h2 class="memtitle"><span class="permalink"><a href="#abce89d8999986f085c368969590376b8">&#9670;&nbsp;</a></span>sieve()</h2>
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<td class="memname">void sieve </td>
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<td class="paramtype">uint32_t&#160;</td>
<td class="paramname"><em>N</em></td><td>)</td>
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<p>This is the function that finds the primes and eliminates the multiples. </p>
<div class="fragment"><div class="line"><a name="l00025"></a><span class="lineno"> 25</span>&#160; {</div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span>&#160; <a class="code" href="../../d8/ddf/sieve__of__eratosthenes_8cpp.html#a0560e21edb54d5ad8d80b2d80348ce22">isprime</a>[0] = <span class="keyword">false</span>;</div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>&#160; <a class="code" href="../../d8/ddf/sieve__of__eratosthenes_8cpp.html#a0560e21edb54d5ad8d80b2d80348ce22">isprime</a>[1] = <span class="keyword">false</span>;</div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>&#160; <span class="keywordflow">for</span> (uint32_t i = 2; i &lt;= N; i++) {</div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="../../d8/ddf/sieve__of__eratosthenes_8cpp.html#a0560e21edb54d5ad8d80b2d80348ce22">isprime</a>[i]) {</div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>&#160; <span class="keywordflow">for</span> (uint32_t j = (i &lt;&lt; 1); j &lt;= N; j += i) {</div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>&#160; <a class="code" href="../../d8/ddf/sieve__of__eratosthenes_8cpp.html#a0560e21edb54d5ad8d80b2d80348ce22">isprime</a>[j] = <span class="keyword">false</span>;</div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>&#160; }</div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>&#160; }</div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>&#160; }</div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>&#160;}</div>
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<h2 class="groupheader">Variable Documentation</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#a0560e21edb54d5ad8d80b2d80348ce22">&#9670;&nbsp;</a></span>isprime</h2>
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<td class="memname">bool isprime[<a class="el" href="../../d4/d32/fibonacci__fast_8cpp.html#a692ac7187ee88621a9f78fca78ec498d">MAX</a>]</td>
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<p>array to store the primes </p>
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<div class="ttc" id="asieve__of__eratosthenes_8cpp_html_af50a5c87d27cfd3462745b37fb9b0f46"><div class="ttname"><a href="../../d8/ddf/sieve__of__eratosthenes_8cpp.html#af50a5c87d27cfd3462745b37fb9b0f46">print</a></div><div class="ttdeci">void print(uint32_t N)</div><div class="ttdef"><b>Definition:</b> sieve_of_eratosthenes.cpp:40</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="asieve__of__eratosthenes_8cpp_html_a392fb874e547e582e9c66a08a1f23326"><div class="ttname"><a href="../../d8/ddf/sieve__of__eratosthenes_8cpp.html#a392fb874e547e582e9c66a08a1f23326">MAX</a></div><div class="ttdeci">#define MAX</div><div class="ttdef"><b>Definition:</b> sieve_of_eratosthenes.cpp:16</div></div>
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