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<title>Algorithms_in_C++: math/prime_numbers.cpp File Reference</title>
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@@ -30,8 +30,8 @@ MathJax.Hub.Config({
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<div id="projectname">Algorithms_in_C++<span id="projectnumber"> 1.0.0</span>
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<div id="projectbrief">Set of algorithms implemented in C++.</div>
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@@ -134,20 +134,20 @@ Functions</h2></td></tr>
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</div><div class="memdoc">
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<p >main function </p>
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<div class="fragment"><div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span> {</div>
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<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</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">"Calculate primes up to:\n>> "</span>;</div>
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<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span> <span class="keywordtype">int</span> n = 0;</div>
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<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a> >> n;</div>
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<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<int></a> <a class="code hl_function" href="../../d7/d35/matrix__exponentiation_8cpp.html#ad8389ed58fd0ec66df248014775ad1fa">ans</a> = <a class="code hl_function" href="../../de/d9b/prime__numbers_8cpp.html#a9575f3a51eeb8a57d657b3db6a4b441a">primes</a>(n);</div>
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<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> p : <a class="code hl_function" href="../../d7/d35/matrix__exponentiation_8cpp.html#ad8389ed58fd0ec66df248014775ad1fa">ans</a>) <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << p << <span class="charliteral">' '</span>;</div>
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<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <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"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span>}</div>
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<div class="fragment"><div class="line"><span class="lineno"> 34</span> {</div>
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<div class="line"><span class="lineno"> 35</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">"Calculate primes up to:\n>> "</span>;</div>
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<div class="line"><span class="lineno"> 36</span> <span class="keywordtype">int</span> n = 0;</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_istream.html">std::cin</a> >> n;</div>
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<div class="line"><span class="lineno"> 38</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<int></a> <a class="code hl_function" href="../../d7/d35/matrix__exponentiation_8cpp.html#ad8389ed58fd0ec66df248014775ad1fa">ans</a> = <a class="code hl_function" href="../../de/d9b/prime__numbers_8cpp.html#a9575f3a51eeb8a57d657b3db6a4b441a">primes</a>(n);</div>
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<div class="line"><span class="lineno"> 39</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> p : <a class="code hl_function" href="../../d7/d35/matrix__exponentiation_8cpp.html#ad8389ed58fd0ec66df248014775ad1fa">ans</a>) <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << p << <span class="charliteral">' '</span>;</div>
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<div class="line"><span class="lineno"> 40</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <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"> 41</span>}</div>
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<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="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="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>
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<div class="ttc" id="amatrix__exponentiation_8cpp_html_ad8389ed58fd0ec66df248014775ad1fa"><div class="ttname"><a href="../../d7/d35/matrix__exponentiation_8cpp.html#ad8389ed58fd0ec66df248014775ad1fa">ans</a></div><div class="ttdeci">ll ans(ll n)</div><div class="ttdef"><b>Definition:</b> matrix_exponentiation.cpp:91</div></div>
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<div class="ttc" id="aprime__numbers_8cpp_html_a9575f3a51eeb8a57d657b3db6a4b441a"><div class="ttname"><a href="../../de/d9b/prime__numbers_8cpp.html#a9575f3a51eeb8a57d657b3db6a4b441a">primes</a></div><div class="ttdeci">std::vector< int > primes(size_t max)</div><div class="ttdef"><b>Definition:</b> prime_numbers.cpp:12</div></div>
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<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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<div class="ttc" id="avector_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector< int ></a></div></div>
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</div><!-- fragment --><div class="dynheader">
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Here is the call graph for this function:</div>
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@@ -173,26 +173,26 @@ Here is the call graph for this function:</div>
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<p >Generate an increasingly large number of primes and store in a list </p>
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<div class="fragment"><div class="line"><a id="l00012" name="l00012"></a><span class="lineno"> 12</span> {</div>
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<div class="line"><a id="l00013" name="l00013"></a><span class="lineno"> 13</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<int></a> res;</div>
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<div class="line"><a id="l00014" name="l00014"></a><span class="lineno"> 14</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<bool></a> is_not_prime(max + 1, <span class="keyword">false</span>);</div>
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<div class="line"><a id="l00015" name="l00015"></a><span class="lineno"> 15</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 2; i <= <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/max.html">max</a>; i++) {</div>
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<div class="line"><a id="l00016" name="l00016"></a><span class="lineno"> 16</span> <span class="keywordflow">if</span> (!is_not_prime[i]) {</div>
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<div class="line"><a id="l00017" name="l00017"></a><span class="lineno"> 17</span> res.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/emplace_back.html">emplace_back</a>(i);</div>
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<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span> }</div>
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<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"> 19</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> p : res) {</div>
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<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span> <span class="keywordtype">size_t</span> <a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a1b74d828b33760094906797042b89442">k</a> = i * p;</div>
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<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span> <span class="keywordflow">if</span> (k > max) {</div>
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<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span> <span class="keywordflow">break</span>;</div>
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<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"> 23</span> }</div>
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<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span> is_not_prime[<a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a1b74d828b33760094906797042b89442">k</a>] = <span class="keyword">true</span>;</div>
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<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"> 25</span> <span class="keywordflow">if</span> (i % p == 0) {</div>
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<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"> 26</span> <span class="keywordflow">break</span>;</div>
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<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span> }</div>
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<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span> }</div>
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<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</span> }</div>
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<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span> <span class="keywordflow">return</span> res;</div>
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<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span>}</div>
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<div class="fragment"><div class="line"><span class="lineno"> 12</span> {</div>
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<div class="line"><span class="lineno"> 13</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<int></a> res;</div>
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<div class="line"><span class="lineno"> 14</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<bool></a> is_not_prime(max + 1, <span class="keyword">false</span>);</div>
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<div class="line"><span class="lineno"> 15</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 2; i <= <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/max.html">max</a>; i++) {</div>
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<div class="line"><span class="lineno"> 16</span> <span class="keywordflow">if</span> (!is_not_prime[i]) {</div>
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<div class="line"><span class="lineno"> 17</span> res.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/emplace_back.html">emplace_back</a>(i);</div>
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<div class="line"><span class="lineno"> 18</span> }</div>
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<div class="line"><span class="lineno"> 19</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> p : res) {</div>
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<div class="line"><span class="lineno"> 20</span> <span class="keywordtype">size_t</span> <a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a1b74d828b33760094906797042b89442">k</a> = i * p;</div>
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<div class="line"><span class="lineno"> 21</span> <span class="keywordflow">if</span> (k > max) {</div>
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<div class="line"><span class="lineno"> 22</span> <span class="keywordflow">break</span>;</div>
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<div class="line"><span class="lineno"> 23</span> }</div>
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<div class="line"><span class="lineno"> 24</span> is_not_prime[<a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a1b74d828b33760094906797042b89442">k</a>] = <span class="keyword">true</span>;</div>
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<div class="line"><span class="lineno"> 25</span> <span class="keywordflow">if</span> (i % p == 0) {</div>
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<div class="line"><span class="lineno"> 26</span> <span class="keywordflow">break</span>;</div>
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<div class="line"><span class="lineno"> 27</span> }</div>
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<div class="line"><span class="lineno"> 28</span> }</div>
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<div class="line"><span class="lineno"> 29</span> }</div>
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<div class="line"><span class="lineno"> 30</span> <span class="keywordflow">return</span> res;</div>
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<div class="line"><span class="lineno"> 31</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="aemplace_back_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector/emplace_back.html">std::vector::emplace_back</a></div><div class="ttdeci">T emplace_back(T... args)</div></div>
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<div class="ttc" id="amax_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/algorithm/max.html">std::max</a></div><div class="ttdeci">T max(T... args)</div></div>
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@@ -211,7 +211,7 @@ Here is the call graph for this function:</div>
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<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
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<ul>
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<li class="navelem"><a class="el" href="../../dir_296d53ceaeaa7e099814a6def439fe8a.html">math</a></li><li class="navelem"><a class="el" href="../../de/d9b/prime__numbers_8cpp.html">prime_numbers.cpp</a></li>
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<li class="footer">Generated by <a href="https://www.doxygen.org/index.html"><img class="footer" src="../../doxygen.svg" width="104" height="31" alt="doxygen"/></a> 1.9.2 </li>
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<li class="footer">Generated by <a href="https://www.doxygen.org/index.html"><img class="footer" src="../../doxygen.svg" width="104" height="31" alt="doxygen"/></a> 1.9.3 </li>
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