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<title>TheAlgorithms/C++: math/miller_rabin.cpp File Reference</title>
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@@ -140,16 +140,16 @@ Include dependency graph for miller_rabin.cpp:</div>
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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:a091662a787d5ad4866713021f580fddb" id="r_a091662a787d5ad4866713021f580fddb"><td class="memTemplParams" colspan="2">template<typename T > </td></tr>
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<tr class="memitem:a091662a787d5ad4866713021f580fddb" id="r_a091662a787d5ad4866713021f580fddb"><td class="memTemplParams" colspan="2">template<typename T> </td></tr>
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<tr class="memitem:a091662a787d5ad4866713021f580fddb"><td class="memTemplItemLeft" align="right" valign="top">std::vector< T > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="#a091662a787d5ad4866713021f580fddb">reverse_binary</a> (T num)</td></tr>
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<tr class="memitem:ad6c2c67ea416d0e80003a88623f98b29" id="r_ad6c2c67ea416d0e80003a88623f98b29"><td class="memTemplParams" colspan="2">template<typename T> </td></tr>
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<tr class="memitem:ad6c2c67ea416d0e80003a88623f98b29"><td class="memTemplItemLeft" align="right" valign="top">T </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="#ad6c2c67ea416d0e80003a88623f98b29">modular_exponentiation</a> (T base, const std::vector< T > &rev_binary_exponent, T mod)</td></tr>
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<tr class="memitem:a6f9c31c1047aa3191676d64571d4c506" id="r_a6f9c31c1047aa3191676d64571d4c506"><td class="memTemplParams" colspan="2">template<typename T > </td></tr>
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<tr class="memitem:a6f9c31c1047aa3191676d64571d4c506" id="r_a6f9c31c1047aa3191676d64571d4c506"><td class="memTemplParams" colspan="2">template<typename T> </td></tr>
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<tr class="memitem:a6f9c31c1047aa3191676d64571d4c506"><td class="memTemplItemLeft" align="right" valign="top">bool </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="#a6f9c31c1047aa3191676d64571d4c506">miller_test</a> (T d, T num)</td></tr>
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<tr class="memitem:a901288288ef5ebe8e97414cc30797cce" id="r_a901288288ef5ebe8e97414cc30797cce"><td class="memTemplParams" colspan="2">template<typename T > </td></tr>
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<tr class="memitem:a901288288ef5ebe8e97414cc30797cce" id="r_a901288288ef5ebe8e97414cc30797cce"><td class="memTemplParams" colspan="2">template<typename T> </td></tr>
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<tr class="memitem:a901288288ef5ebe8e97414cc30797cce"><td class="memTemplItemLeft" align="right" valign="top">bool </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="#a901288288ef5ebe8e97414cc30797cce">miller_rabin_primality_test</a> (T num, T repeats)</td></tr>
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<tr class="separator:a901288288ef5ebe8e97414cc30797cce"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a88ec9ad42717780d6caaff9d3d6977f9" id="r_a88ec9ad42717780d6caaff9d3d6977f9"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="#a88ec9ad42717780d6caaff9d3d6977f9">tests</a> ()</td></tr>
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template<typename T > </div>
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template<typename T> </div>
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<td class="memname">bool miller_rabin_primality_test </td>
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template<typename T > </div>
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template<typename T> </div>
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<td class="memname">bool miller_test </td>
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template<typename T > </div>
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template<typename T> </div>
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<td class="memname">T modular_exponentiation </td>
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template<typename T > </div>
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template<typename T> </div>
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<td class="memname">std::vector< T > reverse_binary </td>
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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="../../d6/d42/miller__rabin_8cpp.html">miller_rabin.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> 1.12.0 </li>
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<head>
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<title>TheAlgorithms/C++: math/miller_rabin.cpp Source File</title>
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<link rel="icon" href="../../favicon.svg" type="image/x-icon" />
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@@ -60,7 +60,7 @@ window.MathJax = {
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</table>
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</div>
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<!-- end header part -->
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<!-- Generated by Doxygen 1.13.2 -->
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<script type="text/javascript">
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/* @license magnet:?xt=urn:btih:d3d9a9a6595521f9666a5e94cc830dab83b65699&dn=expat.txt MIT */
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var searchBox = new SearchBox("searchBox", "../../search/",'.html');
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@@ -124,12 +124,13 @@ $(function(){initNavTree('d6/d42/miller__rabin_8cpp_source.html','../../'); init
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<div class="headertitle"><div class="title">miller_rabin.cpp</div></div>
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</div><!--header-->
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<div class="contents">
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<a href="../../d6/d42/miller__rabin_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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<a href="../../d6/d42/miller__rabin_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="l00007" name="l00007"></a><span class="lineno"> 7</span> </div>
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<div class="line"><a id="l00008" name="l00008"></a><span class="lineno"> 8</span><span class="preprocessor">#include <cassert></span></div>
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<div class="line"><a id="l00009" name="l00009"></a><span class="lineno"> 9</span><span class="preprocessor">#include <iostream></span></div>
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<div class="line"><a id="l00010" name="l00010"></a><span class="lineno"> 10</span><span class="preprocessor">#include <random></span></div>
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<div class="line"><a id="l00011" name="l00011"></a><span class="lineno"> 11</span><span class="preprocessor">#include <vector></span></div>
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<div class="line"><a id="l00012" name="l00012"></a><span class="lineno"> 12</span> </div>
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<div class="line"><a id="l00012" name="l00012"></a><span class="lineno"> 12</span></div>
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<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span><span class="keyword">template</span> <<span class="keyword">typename</span> T></div>
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<div class="foldopen" id="foldopen00019" data-start="{" data-end="}">
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<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"><a class="line" href="../../d6/d42/miller__rabin_8cpp.html#a091662a787d5ad4866713021f580fddb"> 19</a></span>std::vector<T> <a class="code hl_function" href="../../d6/d42/miller__rabin_8cpp.html#a091662a787d5ad4866713021f580fddb">reverse_binary</a>(T num) {</div>
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@@ -142,7 +143,7 @@ $(function(){initNavTree('d6/d42/miller__rabin_8cpp_source.html','../../'); init
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<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"> 26</span> <span class="keywordflow">return</span> result;</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="l00028" name="l00028"></a><span class="lineno"> 28</span></div>
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<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span><span class="keyword">template</span> <<span class="keyword">typename</span> T></div>
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<div class="foldopen" id="foldopen00043" data-start="{" data-end="}">
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<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"><a class="line" href="../../d6/d42/miller__rabin_8cpp.html#ad6c2c67ea416d0e80003a88623f98b29"> 43</a></span>T <a class="code hl_function" href="../../d6/d42/miller__rabin_8cpp.html#ad6c2c67ea416d0e80003a88623f98b29">modular_exponentiation</a>(T base, <span class="keyword">const</span> std::vector<T> &rev_binary_exponent,</div>
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@@ -166,7 +167,7 @@ $(function(){initNavTree('d6/d42/miller__rabin_8cpp_source.html','../../'); init
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<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> <span class="keywordflow">return</span> b;</div>
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<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span>}</div>
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</div>
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<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> </div>
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<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span></div>
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<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span><span class="keyword">template</span> <<span class="keyword">typename</span> T></div>
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<div class="foldopen" id="foldopen00073" data-start="{" data-end="}">
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<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"><a class="line" href="../../d6/d42/miller__rabin_8cpp.html#a6f9c31c1047aa3191676d64571d4c506"> 73</a></span><span class="keywordtype">bool</span> <a class="code hl_function" href="../../d6/d42/miller__rabin_8cpp.html#a6f9c31c1047aa3191676d64571d4c506">miller_test</a>(T d, T num) {</div>
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@@ -200,7 +201,7 @@ $(function(){initNavTree('d6/d42/miller__rabin_8cpp_source.html','../../'); init
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<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
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<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span>}</div>
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<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span> </div>
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<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span></div>
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<div class="line"><a id="l00124" name="l00124"></a><span class="lineno"> 124</span><span class="keyword">template</span> <<span class="keyword">typename</span> T></div>
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<div class="foldopen" id="foldopen00125" data-start="{" data-end="}">
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<div class="line"><a id="l00125" name="l00125"></a><span class="lineno"><a class="line" href="../../d6/d42/miller__rabin_8cpp.html#a901288288ef5ebe8e97414cc30797cce"> 125</a></span><span class="keywordtype">bool</span> <a class="code hl_function" href="../../d6/d42/miller__rabin_8cpp.html#a901288288ef5ebe8e97414cc30797cce">miller_rabin_primality_test</a>(T num, T repeats) {</div>
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@@ -231,7 +232,7 @@ $(function(){initNavTree('d6/d42/miller__rabin_8cpp_source.html','../../'); init
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<div class="line"><a id="l00150" name="l00150"></a><span class="lineno"> 150</span> <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
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<div class="line"><a id="l00151" name="l00151"></a><span class="lineno"> 151</span>}</div>
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</div>
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<div class="line"><a id="l00152" name="l00152"></a><span class="lineno"> 152</span> </div>
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<div class="line"><a id="l00152" name="l00152"></a><span class="lineno"> 152</span></div>
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<div class="foldopen" id="foldopen00157" data-start="{" data-end="}">
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<div class="line"><a id="l00157" name="l00157"></a><span class="lineno"><a class="line" href="../../d6/d42/miller__rabin_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9"> 157</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="../../d6/d42/miller__rabin_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">tests</a>() {</div>
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<div class="line"><a id="l00158" name="l00158"></a><span class="lineno"> 158</span> <span class="comment">// First test on 2</span></div>
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<div class="line"><a id="l00177" name="l00177"></a><span class="lineno"> 177</span> std::cout << <span class="stringliteral">"Fifth test passes."</span> << std::endl;</div>
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<div class="line"><a id="l00178" name="l00178"></a><span class="lineno"> 178</span>}</div>
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<div class="line"><a id="l00179" name="l00179"></a><span class="lineno"> 179</span> </div>
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<div class="line"><a id="l00179" name="l00179"></a><span class="lineno"> 179</span></div>
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<div class="foldopen" id="foldopen00183" data-start="{" data-end="}">
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<div class="line"><a id="l00183" name="l00183"></a><span class="lineno"><a class="line" href="../../d6/d42/miller__rabin_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4"> 183</a></span><span class="keywordtype">int</span> <a class="code hl_function" href="../../d6/d42/miller__rabin_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a>() {</div>
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<div class="line"><a id="l00184" name="l00184"></a><span class="lineno"> 184</span> <a class="code hl_function" href="../../d6/d42/miller__rabin_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">tests</a>();</div>
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@@ -276,7 +277,7 @@ $(function(){initNavTree('d6/d42/miller__rabin_8cpp_source.html','../../'); init
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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="../../d6/d42/miller__rabin_8cpp.html">miller_rabin.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> 1.12.0 </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> 1.13.2 </li>
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