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<p>Compute prime numbers upto 1 billion.
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &lt;cstring&gt;</code><br />
<code>#include &lt;iostream&gt;</code><br />
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Include dependency graph for primes_up_to_billion.cpp:</div>
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Functions</h2></td></tr>
<tr class="memitem:a031cada84819ed6426f58e4f7e81261c"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d4/d9c/primes__up__to__billion_8cpp.html#a031cada84819ed6426f58e4f7e81261c">Sieve</a> (int64_t n)</td></tr>
<tr class="separator:a031cada84819ed6426f58e4f7e81261c"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d4/d9c/primes__up__to__billion_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a> ()</td></tr>
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Variables</h2></td></tr>
<tr class="memitem:ac0f4b77b901ddb15dab4c4dee1ac6e95"><td class="memItemLeft" align="right" valign="top">char&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d4/d9c/primes__up__to__billion_8cpp.html#ac0f4b77b901ddb15dab4c4dee1ac6e95">prime</a> [100000000]</td></tr>
<tr class="separator:ac0f4b77b901ddb15dab4c4dee1ac6e95"><td class="memSeparator" colspan="2">&#160;</td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p>Compute prime numbers upto 1 billion. </p>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="../../de/d9b/prime__numbers_8cpp.html" title="Get list of prime numbers.">prime_numbers.cpp</a> <a class="el" href="../../d8/ddf/sieve__of__eratosthenes_8cpp.html" title="Get list of prime numbers using Sieve of Eratosthenes.">sieve_of_eratosthenes.cpp</a> </dd></dl>
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<h2 class="memtitle"><span class="permalink"><a href="#ae66f6b31b5ad750f1fe042a706a4e3d4">&#9670;&#160;</a></span>main()</h2>
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<td class="memname">int main </td>
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<td class="paramtype">void&#160;</td>
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<p>Main function </p>
<div class="fragment"><div class="line"><span class="lineno"> 26</span> {</div>
<div class="line"><span class="lineno"> 27</span> <a class="code hl_function" href="../../d4/d9c/primes__up__to__billion_8cpp.html#a031cada84819ed6426f58e4f7e81261c">Sieve</a>(100000000);</div>
<div class="line"><span class="lineno"> 28</span> int64_t n;</div>
<div class="line"><span class="lineno"> 29</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a> &gt;&gt; n; <span class="comment">// 10006187</span></div>
<div class="line"><span class="lineno"> 30</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="../../d4/d9c/primes__up__to__billion_8cpp.html#ac0f4b77b901ddb15dab4c4dee1ac6e95">prime</a>[n] == <span class="charliteral">&#39;1&#39;</span>)</div>
<div class="line"><span class="lineno"> 31</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;YES\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 32</span> <span class="keywordflow">else</span></div>
<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> &lt;&lt; <span class="stringliteral">&quot;NO\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 34</span> </div>
<div class="line"><span class="lineno"> 35</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 36</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>
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<div class="ttc" id="aprimes__up__to__billion_8cpp_html_a031cada84819ed6426f58e4f7e81261c"><div class="ttname"><a href="../../d4/d9c/primes__up__to__billion_8cpp.html#a031cada84819ed6426f58e4f7e81261c">Sieve</a></div><div class="ttdeci">void Sieve(int64_t n)</div><div class="ttdef"><b>Definition:</b> primes_up_to_billion.cpp:13</div></div>
<div class="ttc" id="aprimes__up__to__billion_8cpp_html_ac0f4b77b901ddb15dab4c4dee1ac6e95"><div class="ttname"><a href="../../d4/d9c/primes__up__to__billion_8cpp.html#ac0f4b77b901ddb15dab4c4dee1ac6e95">prime</a></div><div class="ttdeci">char prime[100000000]</div><div class="ttdef"><b>Definition:</b> primes_up_to_billion.cpp:10</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#a031cada84819ed6426f58e4f7e81261c">&#9670;&#160;</a></span>Sieve()</h2>
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<td class="memname">void Sieve </td>
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<td class="paramname"><em>n</em></td><td>)</td>
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<p>Perform Sieve algorithm </p>
<div class="fragment"><div class="line"><span class="lineno"> 13</span> {</div>
<div class="line"><span class="lineno"> 14</span> <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/byte/memset.html">memset</a>(<a class="code hl_variable" href="../../d4/d9c/primes__up__to__billion_8cpp.html#ac0f4b77b901ddb15dab4c4dee1ac6e95">prime</a>, <span class="charliteral">&#39;1&#39;</span>, <span class="keyword">sizeof</span>(<a class="code hl_variable" href="../../d4/d9c/primes__up__to__billion_8cpp.html#ac0f4b77b901ddb15dab4c4dee1ac6e95">prime</a>)); <span class="comment">// intitize &#39;1&#39; to every index</span></div>
<div class="line"><span class="lineno"> 15</span> <a class="code hl_variable" href="../../d4/d9c/primes__up__to__billion_8cpp.html#ac0f4b77b901ddb15dab4c4dee1ac6e95">prime</a>[0] = <span class="charliteral">&#39;0&#39;</span>; <span class="comment">// 0 is not prime</span></div>
<div class="line"><span class="lineno"> 16</span> <a class="code hl_variable" href="../../d4/d9c/primes__up__to__billion_8cpp.html#ac0f4b77b901ddb15dab4c4dee1ac6e95">prime</a>[1] = <span class="charliteral">&#39;0&#39;</span>; <span class="comment">// 1 is not prime</span></div>
<div class="line"><span class="lineno"> 17</span> <span class="keywordflow">for</span> (int64_t p = 2; p * p &lt;= n; p++) {</div>
<div class="line"><span class="lineno"> 18</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="../../d4/d9c/primes__up__to__billion_8cpp.html#ac0f4b77b901ddb15dab4c4dee1ac6e95">prime</a>[p] == <span class="charliteral">&#39;1&#39;</span>) {</div>
<div class="line"><span class="lineno"> 19</span> <span class="keywordflow">for</span> (int64_t i = p * p; i &lt;= n; i += p)</div>
<div class="line"><span class="lineno"> 20</span> <a class="code hl_variable" href="../../d4/d9c/primes__up__to__billion_8cpp.html#ac0f4b77b901ddb15dab4c4dee1ac6e95">prime</a>[i] = <span class="charliteral">&#39;0&#39;</span>; <span class="comment">// set all multiples of p to false</span></div>
<div class="line"><span class="lineno"> 21</span> }</div>
<div class="line"><span class="lineno"> 22</span> }</div>
<div class="line"><span class="lineno"> 23</span>}</div>
<div class="ttc" id="amemset_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/string/byte/memset.html">std::memset</a></div><div class="ttdeci">T memset(T... args)</div></div>
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<h2 class="groupheader">Variable Documentation</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#ac0f4b77b901ddb15dab4c4dee1ac6e95">&#9670;&#160;</a></span>prime</h2>
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<td class="memname">char prime[100000000]</td>
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<p>array to store the primes </p>
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