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Documentation for 4a03c62dd3
This commit is contained in:
realstealthninja
@@ -114,10 +114,11 @@ $(function(){initNavTree('d9/d5d/extended__euclid__algorithm_8cpp.html','../../'
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<a href="#details">More...</a></p>
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<div class="textblock"><code>#include <algorithm></code><br />
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<code>#include <iostream></code><br />
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<code>#include <cstdint></code><br />
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</div><div class="textblock"><div class="dynheader">
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Include dependency graph for extended_euclid_algorithm.cpp:</div>
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<div class="center"><iframe scrolling="no" frameborder="0" src="../../d4/dc7/extended__euclid__algorithm_8cpp__incl.svg" width="182" height="126"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe></div>
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<div class="center"><iframe scrolling="no" frameborder="0" src="../../d4/dc7/extended__euclid__algorithm_8cpp__incl.svg" width="266" height="126"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe></div>
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</div>
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</div><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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@@ -188,22 +189,22 @@ template<typename T , typename T2 > </div>
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</table>
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</dd>
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</dl>
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<div class="fragment"><div class="line"><span class="lineno"> 70</span> {</div>
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<div class="line"><span class="lineno"> 71</span> <span class="keywordflow">if</span> (B > A)</div>
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<div class="line"><span class="lineno"> 72</span> <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/swap.html">std::swap</a>(A, B); <span class="comment">// Ensure that A >= B</span></div>
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<div class="line"><span class="lineno"> 73</span> </div>
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<div class="line"><span class="lineno"> 74</span> <span class="keywordflow">if</span> (B == 0) {</div>
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<div class="line"><span class="lineno"> 75</span> *GCD = A;</div>
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<div class="line"><span class="lineno"> 76</span> *x = 1;</div>
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<div class="line"><span class="lineno"> 77</span> *y = 0;</div>
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<div class="line"><span class="lineno"> 78</span> } <span class="keywordflow">else</span> {</div>
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<div class="line"><span class="lineno"> 79</span> <a class="code hl_function" href="#acba15ca55b3e7dcb91f3c65d72ba052d">extendedEuclid</a>(B, A % B, GCD, x, y);</div>
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<div class="line"><span class="lineno"> 80</span> T2 temp = *x;</div>
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<div class="line"><span class="lineno"> 81</span> *x = *y;</div>
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<div class="line"><span class="lineno"> 82</span> *y = temp - (A / B) * (*y);</div>
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<div class="line"><span class="lineno"> 83</span> }</div>
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<div class="line"><span class="lineno"> 84</span>}</div>
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<div class="ttc" id="aextended__euclid__algorithm_8cpp_html_acba15ca55b3e7dcb91f3c65d72ba052d"><div class="ttname"><a href="#acba15ca55b3e7dcb91f3c65d72ba052d">extendedEuclid</a></div><div class="ttdeci">void extendedEuclid(T A, T B, T *GCD, T2 *x, T2 *y)</div><div class="ttdef"><b>Definition</b> extended_euclid_algorithm.cpp:70</div></div>
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<div class="fragment"><div class="line"><span class="lineno"> 71</span> {</div>
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<div class="line"><span class="lineno"> 72</span> <span class="keywordflow">if</span> (B > A)</div>
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<div class="line"><span class="lineno"> 73</span> <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/swap.html">std::swap</a>(A, B); <span class="comment">// Ensure that A >= B</span></div>
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<div class="line"><span class="lineno"> 74</span> </div>
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<div class="line"><span class="lineno"> 75</span> <span class="keywordflow">if</span> (B == 0) {</div>
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<div class="line"><span class="lineno"> 76</span> *GCD = A;</div>
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<div class="line"><span class="lineno"> 77</span> *x = 1;</div>
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<div class="line"><span class="lineno"> 78</span> *y = 0;</div>
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<div class="line"><span class="lineno"> 79</span> } <span class="keywordflow">else</span> {</div>
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<div class="line"><span class="lineno"> 80</span> <a class="code hl_function" href="#acba15ca55b3e7dcb91f3c65d72ba052d">extendedEuclid</a>(B, A % B, GCD, x, y);</div>
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<div class="line"><span class="lineno"> 81</span> T2 temp = *x;</div>
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<div class="line"><span class="lineno"> 82</span> *x = *y;</div>
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<div class="line"><span class="lineno"> 83</span> *y = temp - (A / B) * (*y);</div>
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<div class="line"><span class="lineno"> 84</span> }</div>
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<div class="line"><span class="lineno"> 85</span>}</div>
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<div class="ttc" id="aextended__euclid__algorithm_8cpp_html_acba15ca55b3e7dcb91f3c65d72ba052d"><div class="ttname"><a href="#acba15ca55b3e7dcb91f3c65d72ba052d">extendedEuclid</a></div><div class="ttdeci">void extendedEuclid(T A, T B, T *GCD, T2 *x, T2 *y)</div><div class="ttdef"><b>Definition</b> extended_euclid_algorithm.cpp:71</div></div>
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<div class="ttc" id="aswap_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/algorithm/swap.html">std::swap</a></div><div class="ttdeci">T swap(T... args)</div></div>
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@@ -259,25 +260,25 @@ template<typename T1 , typename T2 > </div>
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</table>
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</dd>
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</dl>
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<div class="fragment"><div class="line"><span class="lineno"> 41</span> {</div>
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<div class="line"><span class="lineno"> 42</span> <span class="keywordflow">if</span> (B > A)</div>
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<div class="line"><span class="lineno"> 43</span> <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/swap.html">std::swap</a>(A, B); <span class="comment">// Ensure that A >= B</span></div>
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<div class="line"><span class="lineno"> 44</span> </div>
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<div class="line"><span class="lineno"> 45</span> T2 s = 0, s0 = 1;</div>
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<div class="line"><span class="lineno"> 46</span> T2 t = 1, t0 = 0;</div>
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<div class="line"><span class="lineno"> 47</span> T1 r = B, r0 = A;</div>
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<div class="line"><span class="lineno"> 48</span> </div>
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<div class="line"><span class="lineno"> 49</span> <span class="keywordflow">while</span> (r != 0) {</div>
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<div class="line"><span class="lineno"> 50</span> T1 quotient = r0 / r;</div>
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<div class="line"><span class="lineno"> 51</span> <a class="code hl_function" href="#abe92d63a0ff9bda7e304df510d5dd217">update_step</a>(&r, &r0, quotient);</div>
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<div class="line"><span class="lineno"> 52</span> <a class="code hl_function" href="#abe92d63a0ff9bda7e304df510d5dd217">update_step</a>(&s, &s0, quotient);</div>
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<div class="line"><span class="lineno"> 53</span> <a class="code hl_function" href="#abe92d63a0ff9bda7e304df510d5dd217">update_step</a>(&t, &t0, quotient);</div>
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<div class="line"><span class="lineno"> 54</span> }</div>
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<div class="line"><span class="lineno"> 55</span> *GCD = r0;</div>
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<div class="line"><span class="lineno"> 56</span> *x = s0;</div>
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<div class="line"><span class="lineno"> 57</span> *y = t0;</div>
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<div class="line"><span class="lineno"> 58</span>}</div>
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<div class="ttc" id="aextended__euclid__algorithm_8cpp_html_abe92d63a0ff9bda7e304df510d5dd217"><div class="ttname"><a href="#abe92d63a0ff9bda7e304df510d5dd217">update_step</a></div><div class="ttdeci">void update_step(T *r, T *r0, const T2 quotient)</div><div class="ttdef"><b>Definition</b> extended_euclid_algorithm.cpp:24</div></div>
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<div class="fragment"><div class="line"><span class="lineno"> 42</span> {</div>
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<div class="line"><span class="lineno"> 43</span> <span class="keywordflow">if</span> (B > A)</div>
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<div class="line"><span class="lineno"> 44</span> <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/swap.html">std::swap</a>(A, B); <span class="comment">// Ensure that A >= B</span></div>
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<div class="line"><span class="lineno"> 45</span> </div>
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<div class="line"><span class="lineno"> 46</span> T2 s = 0, s0 = 1;</div>
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<div class="line"><span class="lineno"> 47</span> T2 t = 1, t0 = 0;</div>
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<div class="line"><span class="lineno"> 48</span> T1 r = B, r0 = A;</div>
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<div class="line"><span class="lineno"> 49</span> </div>
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<div class="line"><span class="lineno"> 50</span> <span class="keywordflow">while</span> (r != 0) {</div>
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<div class="line"><span class="lineno"> 51</span> T1 quotient = r0 / r;</div>
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<div class="line"><span class="lineno"> 52</span> <a class="code hl_function" href="#abe92d63a0ff9bda7e304df510d5dd217">update_step</a>(&r, &r0, quotient);</div>
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<div class="line"><span class="lineno"> 53</span> <a class="code hl_function" href="#abe92d63a0ff9bda7e304df510d5dd217">update_step</a>(&s, &s0, quotient);</div>
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<div class="line"><span class="lineno"> 54</span> <a class="code hl_function" href="#abe92d63a0ff9bda7e304df510d5dd217">update_step</a>(&t, &t0, quotient);</div>
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<div class="line"><span class="lineno"> 55</span> }</div>
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<div class="line"><span class="lineno"> 56</span> *GCD = r0;</div>
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<div class="line"><span class="lineno"> 57</span> *x = s0;</div>
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<div class="line"><span class="lineno"> 58</span> *y = t0;</div>
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<div class="line"><span class="lineno"> 59</span>}</div>
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<div class="ttc" id="aextended__euclid__algorithm_8cpp_html_abe92d63a0ff9bda7e304df510d5dd217"><div class="ttname"><a href="#abe92d63a0ff9bda7e304df510d5dd217">update_step</a></div><div class="ttdeci">void update_step(T *r, T *r0, const T2 quotient)</div><div class="ttdef"><b>Definition</b> extended_euclid_algorithm.cpp:25</div></div>
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@@ -302,20 +303,20 @@ Here is the call graph for this function:</div>
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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"><span class="lineno"> 87</span> {</div>
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<div class="line"><span class="lineno"> 88</span> uint32_t a, b, <a class="code hl_function" href="../../d4/da0/gcd__iterative__euclidean_8cpp.html#ae48807fa2b7000afae599e67f327545e">gcd</a>;</div>
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<div class="line"><span class="lineno"> 89</span> int32_t x, y;</div>
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<div class="line"><span class="lineno"> 90</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a> >> a >> b;</div>
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<div class="line"><span class="lineno"> 91</span> <a class="code hl_function" href="#acba15ca55b3e7dcb91f3c65d72ba052d">extendedEuclid</a>(a, b, &<a class="code hl_function" href="../../d4/da0/gcd__iterative__euclidean_8cpp.html#ae48807fa2b7000afae599e67f327545e">gcd</a>, &x, &y);</div>
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<div class="line"><span class="lineno"> 92</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_function" href="../../d4/da0/gcd__iterative__euclidean_8cpp.html#ae48807fa2b7000afae599e67f327545e">gcd</a> << <span class="stringliteral">" "</span> << x << <span class="stringliteral">" "</span> << y << <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"> 93</span> <a class="code hl_function" href="#a1792ac7c33aaf26b860ab55f5652ab25">extendedEuclid_1</a>(a, b, &<a class="code hl_function" href="../../d4/da0/gcd__iterative__euclidean_8cpp.html#ae48807fa2b7000afae599e67f327545e">gcd</a>, &x, &y);</div>
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<div class="line"><span class="lineno"> 94</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_function" href="../../d4/da0/gcd__iterative__euclidean_8cpp.html#ae48807fa2b7000afae599e67f327545e">gcd</a> << <span class="stringliteral">" "</span> << x << <span class="stringliteral">" "</span> << y << <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"> 95</span> <span class="keywordflow">return</span> 0;</div>
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<div class="line"><span class="lineno"> 96</span>}</div>
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<div class="fragment"><div class="line"><span class="lineno"> 88</span> {</div>
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<div class="line"><span class="lineno"> 89</span> uint32_t a, b, <a class="code hl_function" href="../../d4/da0/gcd__iterative__euclidean_8cpp.html#ae48807fa2b7000afae599e67f327545e">gcd</a>;</div>
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<div class="line"><span class="lineno"> 90</span> int32_t x, y;</div>
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<div class="line"><span class="lineno"> 91</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a> >> a >> b;</div>
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<div class="line"><span class="lineno"> 92</span> <a class="code hl_function" href="#acba15ca55b3e7dcb91f3c65d72ba052d">extendedEuclid</a>(a, b, &<a class="code hl_function" href="../../d4/da0/gcd__iterative__euclidean_8cpp.html#ae48807fa2b7000afae599e67f327545e">gcd</a>, &x, &y);</div>
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<div class="line"><span class="lineno"> 93</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_function" href="../../d4/da0/gcd__iterative__euclidean_8cpp.html#ae48807fa2b7000afae599e67f327545e">gcd</a> << <span class="stringliteral">" "</span> << x << <span class="stringliteral">" "</span> << y << <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"> 94</span> <a class="code hl_function" href="#a1792ac7c33aaf26b860ab55f5652ab25">extendedEuclid_1</a>(a, b, &<a class="code hl_function" href="../../d4/da0/gcd__iterative__euclidean_8cpp.html#ae48807fa2b7000afae599e67f327545e">gcd</a>, &x, &y);</div>
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<div class="line"><span class="lineno"> 95</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_function" href="../../d4/da0/gcd__iterative__euclidean_8cpp.html#ae48807fa2b7000afae599e67f327545e">gcd</a> << <span class="stringliteral">" "</span> << x << <span class="stringliteral">" "</span> << y << <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"> 96</span> <span class="keywordflow">return</span> 0;</div>
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<div class="line"><span class="lineno"> 97</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="aextended__euclid__algorithm_8cpp_html_a1792ac7c33aaf26b860ab55f5652ab25"><div class="ttname"><a href="#a1792ac7c33aaf26b860ab55f5652ab25">extendedEuclid_1</a></div><div class="ttdeci">void extendedEuclid_1(T1 A, T1 B, T1 *GCD, T2 *x, T2 *y)</div><div class="ttdef"><b>Definition</b> extended_euclid_algorithm.cpp:41</div></div>
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<div class="ttc" id="aextended__euclid__algorithm_8cpp_html_a1792ac7c33aaf26b860ab55f5652ab25"><div class="ttname"><a href="#a1792ac7c33aaf26b860ab55f5652ab25">extendedEuclid_1</a></div><div class="ttdeci">void extendedEuclid_1(T1 A, T1 B, T1 *GCD, T2 *x, T2 *y)</div><div class="ttdef"><b>Definition</b> extended_euclid_algorithm.cpp:42</div></div>
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<div class="ttc" id="agcd__iterative__euclidean_8cpp_html_ae48807fa2b7000afae599e67f327545e"><div class="ttname"><a href="../../d4/da0/gcd__iterative__euclidean_8cpp.html#ae48807fa2b7000afae599e67f327545e">gcd</a></div><div class="ttdeci">int gcd(int num1, int num2)</div><div class="ttdef"><b>Definition</b> gcd_iterative_euclidean.cpp:15</div></div>
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</div><!-- fragment --><div class="dynheader">
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@@ -369,11 +370,11 @@ template<typename T , typename T2 > </div>
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</table>
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</dd>
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</dl>
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<div class="fragment"><div class="line"><span class="lineno"> 24</span> {</div>
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<div class="line"><span class="lineno"> 25</span> T temp = *r;</div>
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<div class="line"><span class="lineno"> 26</span> *r = *r0 - (quotient * temp);</div>
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<div class="line"><span class="lineno"> 27</span> *r0 = temp;</div>
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<div class="line"><span class="lineno"> 28</span>}</div>
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<div class="fragment"><div class="line"><span class="lineno"> 25</span> {</div>
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<div class="line"><span class="lineno"> 26</span> T temp = *r;</div>
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<div class="line"><span class="lineno"> 27</span> *r = *r0 - (quotient * temp);</div>
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<div class="line"><span class="lineno"> 28</span> *r0 = temp;</div>
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<div class="line"><span class="lineno"> 29</span>}</div>
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</div><!-- fragment -->
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</div>
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</div>
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