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realstealthninja
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<title>TheAlgorithms/C++: math/modular_division.cpp Source File</title>
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@@ -60,7 +60,7 @@ window.MathJax = {
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/* @license magnet:?xt=urn:btih:d3d9a9a6595521f9666a5e94cc830dab83b65699&dn=expat.txt MIT */
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@@ -124,15 +124,16 @@ $(function(){initNavTree('df/d72/modular__division_8cpp_source.html','../../');
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<div class="headertitle"><div class="title">modular_division.cpp</div></div>
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</div><!--header-->
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<div class="contents">
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<a href="../../df/d72/modular__division_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="../../df/d72/modular__division_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="l00026" name="l00026"></a><span class="lineno"> 26</span> </div>
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<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span><span class="preprocessor">#include <cassert></span> </div>
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<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span><span class="preprocessor">#include <cstdint></span></div>
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<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</span><span class="preprocessor">#include <iostream></span> </div>
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<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span> </div>
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<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span></div>
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<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span><span class="keyword">namespace </span><a class="code hl_namespace" href="../../dd/d47/namespacemath.html">math</a> {</div>
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<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span><span class="keyword">namespace </span><a class="code hl_namespace" href="../../d1/d64/namespacemodular__division.html">modular_division</a> {</div>
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<div class="foldopen" id="foldopen00050" data-start="{" data-end="}">
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<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"><a class="line" href="../../df/d72/modular__division_8cpp.html#a66cdf93153cbd1408bd74ac68961d179"> 50</a></span>uint64_t power(uint64_t a, uint64_t b, uint64_t c) {</div>
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<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"><a class="line" href="../../df/d72/modular__division_8cpp.html#a66cdf93153cbd1408bd74ac68961d179"> 50</a></span>uint64_t <a class="code hl_function" href="../../df/d72/modular__division_8cpp.html#a66cdf93153cbd1408bd74ac68961d179">power</a>(uint64_t a, uint64_t b, uint64_t c) {</div>
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<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span> uint64_t ans = 1; </div>
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<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span> a = a % c; </div>
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<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span> <span class="keywordflow">if</span> (a == 0) {</div>
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@@ -148,10 +149,10 @@ $(function(){initNavTree('df/d72/modular__division_8cpp_source.html','../../');
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<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> <span class="keywordflow">return</span> ans;</div>
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<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span>}</div>
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</div>
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<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span> </div>
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<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span></div>
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<div class="foldopen" id="foldopen00075" data-start="{" data-end="}">
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<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"><a class="line" href="../../df/d72/modular__division_8cpp.html#a905e368ae121beb7e7ea35349ddcdac7"> 75</a></span>uint64_t <a class="code hl_function" href="../../df/d72/modular__division_8cpp.html#a905e368ae121beb7e7ea35349ddcdac7">mod_division</a>(uint64_t a, uint64_t b, uint64_t p) {</div>
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<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> uint64_t inverse = power(b, p - 2, p) % p; </div>
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<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> uint64_t inverse = <a class="code hl_function" href="../../df/d72/modular__division_8cpp.html#a66cdf93153cbd1408bd74ac68961d179">power</a>(b, p - 2, p) % p; </div>
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<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span> uint64_t result =</div>
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<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span> ((a % p) * (inverse % p)) % p; </div>
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<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span> <span class="keywordflow">return</span> result;</div>
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@@ -159,27 +160,27 @@ $(function(){initNavTree('df/d72/modular__division_8cpp_source.html','../../');
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</div>
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<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span>} <span class="comment">// namespace modular_division</span></div>
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<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span>} <span class="comment">// namespace math</span></div>
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<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> </div>
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<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span></div>
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<div class="foldopen" id="foldopen00089" data-start="{" data-end="}">
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<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"><a class="line" href="../../df/d72/modular__division_8cpp.html#aa8dca7b867074164d5f45b0f3851269d"> 89</a></span><span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code hl_function" href="../../df/d72/modular__division_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>() {</div>
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<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span> uint64_t test_case_1 = math::modular_division::mod_division(8, 2, 2);</div>
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<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span> uint64_t test_case_1 = <a class="code hl_function" href="../../df/d72/modular__division_8cpp.html#a905e368ae121beb7e7ea35349ddcdac7">math::modular_division::mod_division</a>(8, 2, 2);</div>
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<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span> assert(test_case_1 == 0);</div>
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<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span> std::cout << <span class="stringliteral">"Test 1 Passed!"</span> << std::endl;</div>
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<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span> uint64_t test_case_2 = math::modular_division::mod_division(15, 3, 7);</div>
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<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span> uint64_t test_case_2 = <a class="code hl_function" href="../../df/d72/modular__division_8cpp.html#a905e368ae121beb7e7ea35349ddcdac7">math::modular_division::mod_division</a>(15, 3, 7);</div>
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<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span> assert(test_case_2 == 5);</div>
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<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> std::cout << <span class="stringliteral">"Test 2 Passed!"</span> << std::endl;</div>
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<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span> uint64_t test_case_3 = math::modular_division::mod_division(10, 5, 2);</div>
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<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span> uint64_t test_case_3 = <a class="code hl_function" href="../../df/d72/modular__division_8cpp.html#a905e368ae121beb7e7ea35349ddcdac7">math::modular_division::mod_division</a>(10, 5, 2);</div>
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<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span> assert(test_case_3 == 0);</div>
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<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span> std::cout << <span class="stringliteral">"Test 3 Passed!"</span> << std::endl;</div>
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<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span> uint64_t test_case_4 = math::modular_division::mod_division(81, 3, 5);</div>
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<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span> uint64_t test_case_4 = <a class="code hl_function" href="../../df/d72/modular__division_8cpp.html#a905e368ae121beb7e7ea35349ddcdac7">math::modular_division::mod_division</a>(81, 3, 5);</div>
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<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span> assert(test_case_4 == 2);</div>
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<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span> std::cout << <span class="stringliteral">"Test 4 Passed!"</span> << std::endl;</div>
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<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span> uint64_t test_case_5 = math::modular_division::mod_division(12848, 73, 29);</div>
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<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span> uint64_t test_case_5 = <a class="code hl_function" href="../../df/d72/modular__division_8cpp.html#a905e368ae121beb7e7ea35349ddcdac7">math::modular_division::mod_division</a>(12848, 73, 29);</div>
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<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span> assert(test_case_5 == 2);</div>
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<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span> std::cout << <span class="stringliteral">"Test 5 Passed!"</span> << std::endl;</div>
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<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span>}</div>
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</div>
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<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span> </div>
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<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span></div>
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<div class="foldopen" id="foldopen00113" data-start="{" data-end="}">
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<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"><a class="line" href="../../df/d72/modular__division_8cpp.html#a0ddf1224851353fc92bfbff6f499fa97"> 113</a></span><span class="keywordtype">int</span> <a class="code hl_function" href="../../dd/d1e/generate__parentheses_8cpp.html#gae66f6b31b5ad750f1fe042a706a4e3d4">main</a>(<span class="keywordtype">int</span> argc, <span class="keywordtype">char</span> *argv[]) {</div>
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<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span> <a class="code hl_function" href="../../df/d72/modular__division_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// execute the tests</span></div>
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@@ -187,6 +188,7 @@ $(function(){initNavTree('df/d72/modular__division_8cpp_source.html','../../');
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<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"> 116</span>}</div>
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</div>
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<div class="ttc" id="agenerate__parentheses_8cpp_html_gae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../dd/d1e/generate__parentheses_8cpp.html#gae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdoc">Main function.</div><div class="ttdef"><b>Definition</b> <a href="../../dd/d1e/generate__parentheses_8cpp_source.html#l00110">generate_parentheses.cpp:110</a></div></div>
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<div class="ttc" id="amodular__division_8cpp_html_a66cdf93153cbd1408bd74ac68961d179"><div class="ttname"><a href="../../df/d72/modular__division_8cpp.html#a66cdf93153cbd1408bd74ac68961d179">math::modular_division::power</a></div><div class="ttdeci">uint64_t power(uint64_t a, uint64_t b, uint64_t c)</div><div class="ttdoc">This function calculates a raised to exponent b under modulo c using modular exponentiation.</div><div class="ttdef"><b>Definition</b> <a href="#l00050">modular_division.cpp:50</a></div></div>
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<div class="ttc" id="amodular__division_8cpp_html_a905e368ae121beb7e7ea35349ddcdac7"><div class="ttname"><a href="../../df/d72/modular__division_8cpp.html#a905e368ae121beb7e7ea35349ddcdac7">math::modular_division::mod_division</a></div><div class="ttdeci">uint64_t mod_division(uint64_t a, uint64_t b, uint64_t p)</div><div class="ttdoc">This function calculates modular division.</div><div class="ttdef"><b>Definition</b> <a href="#l00075">modular_division.cpp:75</a></div></div>
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<div class="ttc" id="amodular__division_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="../../df/d72/modular__division_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a></div><div class="ttdeci">static void test()</div><div class="ttdef"><b>Definition</b> <a href="#l00089">modular_division.cpp:89</a></div></div>
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<div class="ttc" id="anamespacemath_html"><div class="ttname"><a href="../../dd/d47/namespacemath.html">math</a></div><div class="ttdoc">for assert</div></div>
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@@ -197,7 +199,7 @@ $(function(){initNavTree('df/d72/modular__division_8cpp_source.html','../../');
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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="../../df/d72/modular__division_8cpp.html">modular_division.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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