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<p><a href="https://en.wikipedia.org/wiki/Runge%E2%80%93Kutta_methods">Runge Kutta fourth order</a> method implementation
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<a href="#details">More...</a></p>
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<div class="textblock"><code>#include <iostream></code><br />
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<div class="textblock"><code>#include <cassert></code><br />
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Include dependency graph for rungekutta.cpp:</div>
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<div class="dyncontent">
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@@ -126,7 +126,7 @@ Functions</h2></td></tr>
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<tr class="separator:a7b9f40c7b5e9749cc550f19be3dc8856"><td class="memSeparator" colspan="2"> </td></tr>
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<tr><td colspan="2"><div class="groupHeader"></div></td></tr>
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<tr class="memitem:a450497475f5607333f9aca8f88901579"><td class="memItemLeft" align="right" valign="top">static double </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d1/da6/rungekutta_8cpp.html#a450497475f5607333f9aca8f88901579">change</a> (double x, double y)</td></tr>
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<tr class="memdesc:a450497475f5607333f9aca8f88901579"><td class="mdescLeft"> </td><td class="mdescRight">asserting the test functions <a href="../../d1/da6/rungekutta_8cpp.html#a450497475f5607333f9aca8f88901579">More...</a><br /></td></tr>
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<tr class="memdesc:a450497475f5607333f9aca8f88901579"><td class="mdescLeft"> </td><td class="mdescRight">for using the vector container <a href="../../d1/da6/rungekutta_8cpp.html#a450497475f5607333f9aca8f88901579">More...</a><br /></td></tr>
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<tr class="separator:a450497475f5607333f9aca8f88901579"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:aa8dca7b867074164d5f45b0f3851269d"><td class="memItemLeft" align="right" valign="top">static void </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d1/da6/rungekutta_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a> ()</td></tr>
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<tr class="memdesc:aa8dca7b867074164d5f45b0f3851269d"><td class="mdescLeft"> </td><td class="mdescRight">Tests to check algorithm implementation. <a href="../../d1/da6/rungekutta_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">More...</a><br /></td></tr>
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@@ -174,9 +174,9 @@ Functions</h2></td></tr>
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<p>asserting the test functions </p>
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<p>for io operations for using the vector container</p>
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<p>The <a class="el" href="../../d1/da6/rungekutta_8cpp.html#a450497475f5607333f9aca8f88901579" title="asserting the test functions">change()</a> function is used to return the updated iterative value corresponding to the given function </p><dl class="params"><dt>Parameters</dt><dd>
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<p>for using the vector container </p>
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<p>asserting the test functions for io operations</p>
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<p>The <a class="el" href="../../d1/da6/rungekutta_8cpp.html#a450497475f5607333f9aca8f88901579" title="for using the vector container">change()</a> function is used to return the updated iterative value corresponding to the given function </p><dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramname">x</td><td>is the value corresponding to the x coordinate </td></tr>
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<tr><td class="paramname">y</td><td>is the value corresponding to the y coordinate </td></tr>
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@@ -186,10 +186,7 @@ Functions</h2></td></tr>
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<dl class="section return"><dt>Returns</dt><dd>the computed function value at that call </dd></dl>
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<dl class="section examples"><dt>Examples</dt><dd><a class="el" href="../../dc/dc4/_2_users_2runner_2work_2_c-_plus-_plus_2_c-_plus-_plus_2numerical_methods_2rungekutta_8cpp-example.html#a0">/Users/runner/work/C-Plus-Plus/C-Plus-Plus/numerical_methods/rungekutta.cpp</a>.</dd>
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<div class="fragment"><div class="line"><a name="l00032"></a><span class="lineno"> 32</span> { </div>
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<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>  <span class="keywordflow">return</span> ((x - y)/2.0); </div>
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<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  </div>
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<div class="line"><a name="l00035"></a><span class="lineno"> 35</span> } </div>
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<div class="fragment"><div class="line"><a name="l00033"></a><span class="lineno"> 33</span> { <span class="keywordflow">return</span> ((x - y) / 2.0); }</div>
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</div><!-- fragment -->
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</div>
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@@ -211,11 +208,10 @@ Functions</h2></td></tr>
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<p>Main function. </p>
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<dl class="section return"><dt>Returns</dt><dd>0 on exit </dd></dl>
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<div class="fragment"><div class="line"><a name="l00131"></a><span class="lineno"> 131</span> { </div>
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<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  </div>
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<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  <a class="code" href="../../d1/da6/rungekutta_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// Execute the tests</span></div>
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<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  <span class="keywordflow">return</span> 0; </div>
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<div class="line"><a name="l00135"></a><span class="lineno"> 135</span> } </div>
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<div class="fragment"><div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  {</div>
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<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  <a class="code" href="../../d1/da6/rungekutta_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// Execute the tests</span></div>
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<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  <span class="keywordflow">return</span> 0;</div>
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<div class="line"><a name="l00133"></a><span class="lineno"> 133</span> }</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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<div class="dyncontent">
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@@ -276,47 +272,41 @@ Here is the call graph for this function:</div>
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<dl class="section return"><dt>Returns</dt><dd>the value of y at thr required value of x from the initial conditions </dd></dl>
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<dl class="section examples"><dt>Examples</dt><dd><a class="el" href="../../dc/dc4/_2_users_2runner_2work_2_c-_plus-_plus_2_c-_plus-_plus_2numerical_methods_2rungekutta_8cpp-example.html#a1">/Users/runner/work/C-Plus-Plus/C-Plus-Plus/numerical_methods/rungekutta.cpp</a>.</dd>
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</dl>
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<div class="fragment"><div class="line"><a name="l00057"></a><span class="lineno"> 57</span> { </div>
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<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  </div>
|
||||
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  <span class="comment">// Count number of iterations </span></div>
|
||||
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  <span class="comment">// using step size or </span></div>
|
||||
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  <span class="comment">// step height h </span></div>
|
||||
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  </div>
|
||||
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  </div>
|
||||
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  <span class="comment">// n calucates the number of iterations</span></div>
|
||||
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  <span class="comment">// k1, k2, k3, k4 are the Runge Kutta variables </span></div>
|
||||
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  <span class="comment">// used for calculation of y at each iteration</span></div>
|
||||
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  </div>
|
||||
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  <span class="keyword">auto</span> n = <span class="keyword">static_cast<</span>uint64_t<span class="keyword">></span>((x - init_x) / <a class="code" href="../../d1/df3/hash__search_8cpp.html#a566eaf0ffafd50bc61e644561fd27001">h</a>); </div>
|
||||
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  <span class="comment">// used a vector container for the variables</span></div>
|
||||
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<double></a> k(4,0.0);</div>
|
||||
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  </div>
|
||||
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  </div>
|
||||
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  <span class="comment">// Iterate for number of iterations </span></div>
|
||||
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  </div>
|
||||
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  <span class="keywordtype">double</span> y = init_y; </div>
|
||||
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i=1; i<=n; ++i) </div>
|
||||
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  { </div>
|
||||
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  </div>
|
||||
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  <span class="comment">// Apply Runge Kutta Formulas </span></div>
|
||||
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  <span class="comment">// to find next value of y </span></div>
|
||||
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  k[0] = <a class="code" href="../../d1/df3/hash__search_8cpp.html#a566eaf0ffafd50bc61e644561fd27001">h</a>*<a class="code" href="../../d1/da6/rungekutta_8cpp.html#a450497475f5607333f9aca8f88901579">change</a>(init_x, y); </div>
|
||||
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  k[1] = <a class="code" href="../../d1/df3/hash__search_8cpp.html#a566eaf0ffafd50bc61e644561fd27001">h</a>*<a class="code" href="../../d1/da6/rungekutta_8cpp.html#a450497475f5607333f9aca8f88901579">change</a>(init_x + 0.5*<a class="code" href="../../d1/df3/hash__search_8cpp.html#a566eaf0ffafd50bc61e644561fd27001">h</a>, y + 0.5*k[0]); </div>
|
||||
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  k[2] = <a class="code" href="../../d1/df3/hash__search_8cpp.html#a566eaf0ffafd50bc61e644561fd27001">h</a>*<a class="code" href="../../d1/da6/rungekutta_8cpp.html#a450497475f5607333f9aca8f88901579">change</a>(init_x + 0.5*<a class="code" href="../../d1/df3/hash__search_8cpp.html#a566eaf0ffafd50bc61e644561fd27001">h</a>, y + 0.5*k[1]); </div>
|
||||
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  k[3] = <a class="code" href="../../d1/df3/hash__search_8cpp.html#a566eaf0ffafd50bc61e644561fd27001">h</a>*<a class="code" href="../../d1/da6/rungekutta_8cpp.html#a450497475f5607333f9aca8f88901579">change</a>(init_x + <a class="code" href="../../d1/df3/hash__search_8cpp.html#a566eaf0ffafd50bc61e644561fd27001">h</a>, y + k[2]); </div>
|
||||
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  </div>
|
||||
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  </div>
|
||||
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  <span class="comment">// Update next value of y </span></div>
|
||||
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  </div>
|
||||
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  y += (1.0/6.0)*(k[0] + 2*k[1] + 2*k[2] + k[3]);</div>
|
||||
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  </div>
|
||||
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  <span class="comment">// Update next value of x </span></div>
|
||||
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  </div>
|
||||
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  init_x += <a class="code" href="../../d1/df3/hash__search_8cpp.html#a566eaf0ffafd50bc61e644561fd27001">h</a>; </div>
|
||||
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  } </div>
|
||||
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  </div>
|
||||
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  <span class="keywordflow">return</span> y; </div>
|
||||
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span> } </div>
|
||||
<div class="fragment"><div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  {</div>
|
||||
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  <span class="comment">// Count number of iterations</span></div>
|
||||
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  <span class="comment">// using step size or</span></div>
|
||||
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  <span class="comment">// step height h</span></div>
|
||||
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  </div>
|
||||
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  <span class="comment">// n calucates the number of iterations</span></div>
|
||||
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  <span class="comment">// k1, k2, k3, k4 are the Runge Kutta variables</span></div>
|
||||
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  <span class="comment">// used for calculation of y at each iteration</span></div>
|
||||
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  </div>
|
||||
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  <span class="keyword">auto</span> n = <span class="keyword">static_cast<</span>uint64_t<span class="keyword">></span>((x - init_x) / <a class="code" href="../../d1/df3/hash__search_8cpp.html#a566eaf0ffafd50bc61e644561fd27001">h</a>);</div>
|
||||
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  <span class="comment">// used a vector container for the variables</span></div>
|
||||
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<double></a> k(4, 0.0);</div>
|
||||
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  </div>
|
||||
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  <span class="comment">// Iterate for number of iterations</span></div>
|
||||
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  </div>
|
||||
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  <span class="keywordtype">double</span> y = init_y;</div>
|
||||
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 1; i <= n; ++i) {</div>
|
||||
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  <span class="comment">// Apply Runge Kutta Formulas</span></div>
|
||||
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  <span class="comment">// to find next value of y</span></div>
|
||||
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  k[0] = <a class="code" href="../../d1/df3/hash__search_8cpp.html#a566eaf0ffafd50bc61e644561fd27001">h</a> * <a class="code" href="../../d1/da6/rungekutta_8cpp.html#a450497475f5607333f9aca8f88901579">change</a>(init_x, y);</div>
|
||||
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  k[1] = <a class="code" href="../../d1/df3/hash__search_8cpp.html#a566eaf0ffafd50bc61e644561fd27001">h</a> * <a class="code" href="../../d1/da6/rungekutta_8cpp.html#a450497475f5607333f9aca8f88901579">change</a>(init_x + 0.5 * <a class="code" href="../../d1/df3/hash__search_8cpp.html#a566eaf0ffafd50bc61e644561fd27001">h</a>, y + 0.5 * k[0]);</div>
|
||||
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  k[2] = <a class="code" href="../../d1/df3/hash__search_8cpp.html#a566eaf0ffafd50bc61e644561fd27001">h</a> * <a class="code" href="../../d1/da6/rungekutta_8cpp.html#a450497475f5607333f9aca8f88901579">change</a>(init_x + 0.5 * <a class="code" href="../../d1/df3/hash__search_8cpp.html#a566eaf0ffafd50bc61e644561fd27001">h</a>, y + 0.5 * k[1]);</div>
|
||||
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  k[3] = <a class="code" href="../../d1/df3/hash__search_8cpp.html#a566eaf0ffafd50bc61e644561fd27001">h</a> * <a class="code" href="../../d1/da6/rungekutta_8cpp.html#a450497475f5607333f9aca8f88901579">change</a>(init_x + <a class="code" href="../../d1/df3/hash__search_8cpp.html#a566eaf0ffafd50bc61e644561fd27001">h</a>, y + k[2]);</div>
|
||||
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  </div>
|
||||
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  <span class="comment">// Update next value of y</span></div>
|
||||
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  </div>
|
||||
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  y += (1.0 / 6.0) * (k[0] + 2 * k[1] + 2 * k[2] + k[3]);</div>
|
||||
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  </div>
|
||||
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  <span class="comment">// Update next value of x</span></div>
|
||||
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  </div>
|
||||
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  init_x += <a class="code" href="../../d1/df3/hash__search_8cpp.html#a566eaf0ffafd50bc61e644561fd27001">h</a>;</div>
|
||||
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  }</div>
|
||||
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  </div>
|
||||
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  <span class="keywordflow">return</span> y;</div>
|
||||
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span> }</div>
|
||||
</div><!-- fragment --><div class="dynheader">
|
||||
Here is the call graph for this function:</div>
|
||||
<div class="dyncontent">
|
||||
@@ -351,24 +341,31 @@ Here is the call graph for this function:</div>
|
||||
|
||||
<p>Tests to check algorithm implementation. </p>
|
||||
<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
|
||||
<div class="fragment"><div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  {</div>
|
||||
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"The Runge Kutta function will be tested on the basis of precomputed values\n"</span>;</div>
|
||||
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  </div>
|
||||
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"Test 1...."</span> << <span class="stringliteral">"\n"</span>;</div>
|
||||
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  <span class="keywordtype">double</span> valfirst=<a class="code" href="../../d1/da6/rungekutta_8cpp.html#a7b9f40c7b5e9749cc550f19be3dc8856">numerical_methods::runge_kutta::rungeKutta</a>(2,3,4,0.2); <span class="comment">// Tests the function with pre calculated values</span></div>
|
||||
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  assert(valfirst==3.10363932323749570);</div>
|
||||
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"Passed Test 1\n"</span>;</div>
|
||||
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  </div>
|
||||
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"Test 2...."</span> << <span class="stringliteral">"\n"</span>;</div>
|
||||
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  <span class="keywordtype">double</span> valsec=<a class="code" href="../../d1/da6/rungekutta_8cpp.html#a7b9f40c7b5e9749cc550f19be3dc8856">numerical_methods::runge_kutta::rungeKutta</a>(1,2,5,0.1); <span class="comment">// The value of step changed</span></div>
|
||||
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  assert(valsec==3.40600589380261409);</div>
|
||||
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"Passed Test 2\n"</span>;</div>
|
||||
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  </div>
|
||||
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"Test 3...."</span> << <span class="stringliteral">"\n"</span>;</div>
|
||||
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  <span class="keywordtype">double</span> valthird=<a class="code" href="../../d1/da6/rungekutta_8cpp.html#a7b9f40c7b5e9749cc550f19be3dc8856">numerical_methods::runge_kutta::rungeKutta</a>(-1,3,4,0.1); <span class="comment">// Tested with negative value</span></div>
|
||||
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  assert(valthird==2.49251005860244268);</div>
|
||||
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"Passed Test 3\n"</span>;</div>
|
||||
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  }</div>
|
||||
<div class="fragment"><div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  {</div>
|
||||
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"The Runge Kutta function will be tested on the basis of "</span></div>
|
||||
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  <span class="stringliteral">"precomputed values\n"</span>;</div>
|
||||
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  </div>
|
||||
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"Test 1...."</span></div>
|
||||
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  << <span class="stringliteral">"\n"</span>;</div>
|
||||
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  <span class="keywordtype">double</span> valfirst = <a class="code" href="../../d1/da6/rungekutta_8cpp.html#a7b9f40c7b5e9749cc550f19be3dc8856">numerical_methods::runge_kutta::rungeKutta</a>(</div>
|
||||
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  2, 3, 4, 0.2); <span class="comment">// Tests the function with pre calculated values</span></div>
|
||||
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  assert(valfirst == 3.10363932323749570);</div>
|
||||
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"Passed Test 1\n"</span>;</div>
|
||||
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  </div>
|
||||
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"Test 2...."</span></div>
|
||||
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  << <span class="stringliteral">"\n"</span>;</div>
|
||||
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  <span class="keywordtype">double</span> valsec = <a class="code" href="../../d1/da6/rungekutta_8cpp.html#a7b9f40c7b5e9749cc550f19be3dc8856">numerical_methods::runge_kutta::rungeKutta</a>(</div>
|
||||
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  1, 2, 5, 0.1); <span class="comment">// The value of step changed</span></div>
|
||||
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  assert(valsec == 3.40600589380261409);</div>
|
||||
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"Passed Test 2\n"</span>;</div>
|
||||
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  </div>
|
||||
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"Test 3...."</span></div>
|
||||
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  << <span class="stringliteral">"\n"</span>;</div>
|
||||
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  <span class="keywordtype">double</span> valthird = <a class="code" href="../../d1/da6/rungekutta_8cpp.html#a7b9f40c7b5e9749cc550f19be3dc8856">numerical_methods::runge_kutta::rungeKutta</a>(</div>
|
||||
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  -1, 3, 4, 0.1); <span class="comment">// Tested with negative value</span></div>
|
||||
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  assert(valthird == 2.49251005860244268);</div>
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<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"Passed Test 3\n"</span>;</div>
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<div class="line"><a name="l00124"></a><span class="lineno"> 124</span> }</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< double ></a></div></div>
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<div class="ttc" id="ahash__search_8cpp_html_a566eaf0ffafd50bc61e644561fd27001"><div class="ttname"><a href="../../d1/df3/hash__search_8cpp.html#a566eaf0ffafd50bc61e644561fd27001">h</a></div><div class="ttdeci">int h(int key)</div><div class="ttdef"><b>Definition:</b> hash_search.cpp:45</div></div>
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<div class="ttc" id="arungekutta_8cpp_html_a450497475f5607333f9aca8f88901579"><div class="ttname"><a href="../../d1/da6/rungekutta_8cpp.html#a450497475f5607333f9aca8f88901579">change</a></div><div class="ttdeci">static double change(double x, double y)</div><div class="ttdoc">asserting the test functions</div><div class="ttdef"><b>Definition:</b> rungekutta.cpp:31</div></div>
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||||
<div class="ttc" id="arungekutta_8cpp_html_a7b9f40c7b5e9749cc550f19be3dc8856"><div class="ttname"><a href="../../d1/da6/rungekutta_8cpp.html#a7b9f40c7b5e9749cc550f19be3dc8856">numerical_methods::runge_kutta::rungeKutta</a></div><div class="ttdeci">double rungeKutta(double init_x, const double &init_y, const double &x, const double &h)</div><div class="ttdoc">the Runge Kutta method finds the value of integration of a function in the given limits....</div><div class="ttdef"><b>Definition:</b> rungekutta.cpp:56</div></div>
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<div class="ttc" id="arungekutta_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="../../d1/da6/rungekutta_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a></div><div class="ttdeci">static void test()</div><div class="ttdoc">Tests to check algorithm implementation.</div><div class="ttdef"><b>Definition:</b> rungekutta.cpp:105</div></div>
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||||
<div class="ttc" id="arungekutta_8cpp_html_a450497475f5607333f9aca8f88901579"><div class="ttname"><a href="../../d1/da6/rungekutta_8cpp.html#a450497475f5607333f9aca8f88901579">change</a></div><div class="ttdeci">static double change(double x, double y)</div><div class="ttdoc">for using the vector container</div><div class="ttdef"><b>Definition:</b> rungekutta.cpp:33</div></div>
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<div class="ttc" id="arungekutta_8cpp_html_a7b9f40c7b5e9749cc550f19be3dc8856"><div class="ttname"><a href="../../d1/da6/rungekutta_8cpp.html#a7b9f40c7b5e9749cc550f19be3dc8856">numerical_methods::runge_kutta::rungeKutta</a></div><div class="ttdeci">double rungeKutta(double init_x, const double &init_y, const double &x, const double &h)</div><div class="ttdoc">the Runge Kutta method finds the value of integration of a function in the given limits....</div><div class="ttdef"><b>Definition:</b> rungekutta.cpp:57</div></div>
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<div class="ttc" id="arungekutta_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="../../d1/da6/rungekutta_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a></div><div class="ttdeci">static void test()</div><div class="ttdoc">Tests to check algorithm implementation.</div><div class="ttdef"><b>Definition:</b> rungekutta.cpp:100</div></div>
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b6f029e30ef280b3989d6def4d5f776b
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<title>Node2</title>
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@@ -100,8 +100,8 @@ $(document).ready(function(){initNavTree('d1/dbb/n__choose__r_8cpp.html','../../
|
||||
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||||
<p><a href="https://en.wikipedia.org/wiki/Combination">Combinations</a> n choose r function implementation
|
||||
<a href="#details">More...</a></p>
|
||||
<div class="textblock"><code>#include <iostream></code><br />
|
||||
<code>#include <cassert></code><br />
|
||||
<div class="textblock"><code>#include <cassert></code><br />
|
||||
<code>#include <iostream></code><br />
|
||||
</div><div class="textblock"><div class="dynheader">
|
||||
Include dependency graph for n_choose_r.cpp:</div>
|
||||
<div class="dyncontent">
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||||
@@ -168,10 +168,10 @@ Functions</h2></td></tr>
|
||||
</dd>
|
||||
</dl>
|
||||
<dl class="section return"><dt>Returns</dt><dd>0 on exit </dd></dl>
|
||||
<div class="fragment"><div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  {</div>
|
||||
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  <a class="code" href="../../d1/dbb/n__choose__r_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// executing tests</span></div>
|
||||
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  <span class="keywordflow">return</span> 0;</div>
|
||||
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span> }</div>
|
||||
<div class="fragment"><div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  {</div>
|
||||
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  <a class="code" href="../../d1/dbb/n__choose__r_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// executing tests</span></div>
|
||||
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  <span class="keywordflow">return</span> 0;</div>
|
||||
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span> }</div>
|
||||
</div><!-- fragment --><div class="dynheader">
|
||||
Here is the call graph for this function:</div>
|
||||
<div class="dyncontent">
|
||||
@@ -206,28 +206,27 @@ Here is the call graph for this function:</div>
|
||||
|
||||
<p>Test implementations. </p>
|
||||
<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
|
||||
<div class="fragment"><div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  {</div>
|
||||
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  <span class="comment">// First test on 5 choose 2</span></div>
|
||||
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  uint8_t t = <a class="code" href="../../dd/d47/namespacemath.html#a6e2dff75c5de70455b90c799d6ad6967">math::n_choose_r</a>(5, 2);</div>
|
||||
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  assert(((<span class="keywordtype">void</span>)<span class="stringliteral">"10 is the answer but function says otherwise.\n"</span>,</div>
|
||||
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  t == 10));</div>
|
||||
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"First test passes."</span> << <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
|
||||
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  <span class="comment">// Second test on 5 choose 3</span></div>
|
||||
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  t = <a class="code" href="../../dd/d47/namespacemath.html#a6e2dff75c5de70455b90c799d6ad6967">math::n_choose_r</a>(5, 3);</div>
|
||||
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  assert(((<span class="keywordtype">void</span>)<span class="stringliteral">"10 is the answer but the function says otherwise.\n"</span>,</div>
|
||||
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  t == 10));</div>
|
||||
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"Second test passes."</span> << <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
|
||||
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  <span class="comment">// Third test on 3 choose 2</span></div>
|
||||
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  t = <a class="code" href="../../dd/d47/namespacemath.html#a6e2dff75c5de70455b90c799d6ad6967">math::n_choose_r</a>(3, 2);</div>
|
||||
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  assert(((<span class="keywordtype">void</span>)<span class="stringliteral">"3 is the answer but the function says otherwise.\n"</span>,</div>
|
||||
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  t == 3));</div>
|
||||
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"Third test passes."</span> << <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
|
||||
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  <span class="comment">// Fourth test on 10 choose 4</span></div>
|
||||
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  t = <a class="code" href="../../dd/d47/namespacemath.html#a6e2dff75c5de70455b90c799d6ad6967">math::n_choose_r</a>(10, 4);</div>
|
||||
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  assert(((<span class="keywordtype">void</span>)<span class="stringliteral">"210 is the answer but the function says otherwise.\n"</span>,</div>
|
||||
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  t == 210));</div>
|
||||
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"Fourth test passes."</span> << <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
|
||||
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span> }</div>
|
||||
<div class="fragment"><div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  {</div>
|
||||
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  <span class="comment">// First test on 5 choose 2</span></div>
|
||||
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  uint8_t t = <a class="code" href="../../dd/d47/namespacemath.html#a6e2dff75c5de70455b90c799d6ad6967">math::n_choose_r</a>(5, 2);</div>
|
||||
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  assert(((<span class="keywordtype">void</span>)<span class="stringliteral">"10 is the answer but function says otherwise.\n"</span>, t == 10));</div>
|
||||
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"First test passes."</span> << <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
|
||||
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  <span class="comment">// Second test on 5 choose 3</span></div>
|
||||
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  t = <a class="code" href="../../dd/d47/namespacemath.html#a6e2dff75c5de70455b90c799d6ad6967">math::n_choose_r</a>(5, 3);</div>
|
||||
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  assert(</div>
|
||||
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  ((<span class="keywordtype">void</span>)<span class="stringliteral">"10 is the answer but the function says otherwise.\n"</span>, t == 10));</div>
|
||||
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"Second test passes."</span> << <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
|
||||
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  <span class="comment">// Third test on 3 choose 2</span></div>
|
||||
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  t = <a class="code" href="../../dd/d47/namespacemath.html#a6e2dff75c5de70455b90c799d6ad6967">math::n_choose_r</a>(3, 2);</div>
|
||||
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  assert(</div>
|
||||
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  ((<span class="keywordtype">void</span>)<span class="stringliteral">"3 is the answer but the function says otherwise.\n"</span>, t == 3));</div>
|
||||
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"Third test passes."</span> << <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
|
||||
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  <span class="comment">// Fourth test on 10 choose 4</span></div>
|
||||
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  t = <a class="code" href="../../dd/d47/namespacemath.html#a6e2dff75c5de70455b90c799d6ad6967">math::n_choose_r</a>(10, 4);</div>
|
||||
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  assert(((<span class="keywordtype">void</span>)<span class="stringliteral">"210 is the answer but the function says otherwise.\n"</span>,</div>
|
||||
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  t == 210));</div>
|
||||
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"Fourth test passes."</span> << <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
|
||||
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span> }</div>
|
||||
</div><!-- fragment --><div class="dynheader">
|
||||
Here is the call graph for this function:</div>
|
||||
<div class="dyncontent">
|
||||
@@ -239,9 +238,9 @@ Here is the call graph for this function:</div>
|
||||
</div>
|
||||
</div><!-- contents -->
|
||||
</div><!-- doc-content -->
|
||||
<div class="ttc" id="an__choose__r_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="../../d1/dbb/n__choose__r_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a></div><div class="ttdeci">static void test()</div><div class="ttdoc">Test implementations.</div><div class="ttdef"><b>Definition:</b> n_choose_r.cpp:49</div></div>
|
||||
<div class="ttc" id="an__choose__r_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="../../d1/dbb/n__choose__r_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a></div><div class="ttdeci">static void test()</div><div class="ttdoc">Test implementations.</div><div class="ttdef"><b>Definition:</b> n_choose_r.cpp:52</div></div>
|
||||
<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>
|
||||
<div class="ttc" id="anamespacemath_html_a6e2dff75c5de70455b90c799d6ad6967"><div class="ttname"><a href="../../dd/d47/namespacemath.html#a6e2dff75c5de70455b90c799d6ad6967">math::n_choose_r</a></div><div class="ttdeci">T n_choose_r(T n, T r)</div><div class="ttdoc">This is the function implementation of .</div><div class="ttdef"><b>Definition:</b> n_choose_r.cpp:33</div></div>
|
||||
<div class="ttc" id="anamespacemath_html_a6e2dff75c5de70455b90c799d6ad6967"><div class="ttname"><a href="../../dd/d47/namespacemath.html#a6e2dff75c5de70455b90c799d6ad6967">math::n_choose_r</a></div><div class="ttdeci">T n_choose_r(T n, T r)</div><div class="ttdoc">This is the function implementation of .</div><div class="ttdef"><b>Definition:</b> n_choose_r.cpp:35</div></div>
|
||||
<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>
|
||||
<!-- start footer part -->
|
||||
<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
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||||
|
||||
@@ -319,7 +319,7 @@ Here is the call graph for this function:</div>
|
||||
<div class="ttc" id="abasic_ostream_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cerr</a></div></div>
|
||||
<div class="ttc" id="avalarray_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray< double ></a></div></div>
|
||||
<div class="ttc" id="alu__decomposition_8h_html_a75b8a228c6419ecda6077255d6d60509"><div class="ttname"><a href="../../d1/dbe/lu__decomposition_8h.html#a75b8a228c6419ecda6077255d6d60509">lu_decomposition</a></div><div class="ttdeci">int lu_decomposition(const matrix< T > &A, matrix< double > *L, matrix< double > *U)</div><div class="ttdef"><b>Definition:</b> lu_decomposition.h:29</div></div>
|
||||
<div class="ttc" id="afibonacci__sum_8cpp_html_aadb40ac4c74a7efc0680b83eeee138aa"><div class="ttname"><a href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">math::fibonacci_sum::result</a></div><div class="ttdeci">uint64_t result(uint64_t n)</div><div class="ttdef"><b>Definition:</b> fibonacci_sum.cpp:75</div></div>
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||||
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<div class="ttc" id="adurand__kerner__roots_8cpp_html_a024b8bc4755863315456d573a6732377"><div class="ttname"><a href="../../da/df2/durand__kerner__roots_8cpp.html#a024b8bc4755863315456d573a6732377">check_termination</a></div><div class="ttdeci">bool check_termination(long double delta)</div><div class="ttdef"><b>Definition:</b> durand_kerner_roots.cpp:91</div></div>
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<div class="ttc" id="asqrt__double_8cpp_html_ae662282ad0740d2063ac404ca3bd74fc"><div class="ttname"><a href="../../da/d24/sqrt__double_8cpp.html#ae662282ad0740d2063ac404ca3bd74fc">Sqrt</a></div><div class="ttdeci">double Sqrt(double a)</div><div class="ttdef"><b>Definition:</b> sqrt_double.cpp:16</div></div>
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<div class="ttc" id="ancr__modulo__p_8cpp_html_af0a3e6827f41c151e47451f5ff98b1f1"><div class="ttname"><a href="../../de/dab/ncr__modulo__p_8cpp.html#af0a3e6827f41c151e47451f5ff98b1f1">tests</a></div><div class="ttdeci">static void tests(math::ncr_modulo_p::NCRModuloP ncrObj)</div><div class="ttdoc">Test implementations.</div><div class="ttdef"><b>Definition:</b> ncr_modulo_p.cpp:124</div></div>
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<div class="ttc" id="asrand_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/random/srand.html">std::srand</a></div><div class="ttdeci">T srand(T... args)</div></div>
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<div class="ttc" id="anumber__of__positive__divisors_8cpp_html_a88ec9ad42717780d6caaff9d3d6977f9"><div class="ttname"><a href="../../d0/da2/number__of__positive__divisors_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">tests</a></div><div class="ttdeci">void tests()</div><div class="ttdef"><b>Definition:</b> number_of_positive_divisors.cpp:70</div></div>
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<div class="ttc" id="aleast__common__multiple_8cpp_html_aa8d0e241db517813725e721a152e3a25"><div class="ttname"><a href="../../d4/d21/least__common__multiple_8cpp.html#aa8d0e241db517813725e721a152e3a25">lcm</a></div><div class="ttdeci">unsigned int lcm(unsigned int x, unsigned int y)</div><div class="ttdef"><b>Definition:</b> least_common_multiple.cpp:43</div></div>
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<div class="ttc" id="aleast__common__multiple_8cpp_html_a88ec9ad42717780d6caaff9d3d6977f9"><div class="ttname"><a href="../../d4/d21/least__common__multiple_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">tests</a></div><div class="ttdeci">void tests()</div><div class="ttdef"><b>Definition:</b> least_common_multiple.cpp:50</div></div>
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<div class="ttc" id="anamespacemath_html_a04065193d190d605e1f0d0d93a87e244"><div class="ttname"><a href="../../dd/d47/namespacemath.html#a04065193d190d605e1f0d0d93a87e244">math::lcmSum</a></div><div class="ttdeci">uint64_t lcmSum(const uint16_t &num)</div><div class="ttdef"><b>Definition:</b> lcm_sum.cpp:28</div></div>
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<div class="ttc" id="anamespacemath_html_a04065193d190d605e1f0d0d93a87e244"><div class="ttname"><a href="../../dd/d47/namespacemath.html#a04065193d190d605e1f0d0d93a87e244">math::lcmSum</a></div><div class="ttdeci">uint64_t lcmSum(const uint16_t &num)</div><div class="ttdef"><b>Definition:</b> lcm_sum.cpp:29</div></div>
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<div class="ttc" id="aprime__factorization_8cpp_html_af097796783684712b8326e5b82bfd4fe"><div class="ttname"><a href="../../db/d0d/prime__factorization_8cpp.html#af097796783684712b8326e5b82bfd4fe">prime_numbers</a></div><div class="ttdeci">std::vector< int > prime_numbers</div><div class="ttdef"><b>Definition:</b> prime_factorization.cpp:16</div></div>
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<div class="ttc" id="aprimes__up__to__billion_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../d4/d9c/primes__up__to__billion_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdef"><b>Definition:</b> primes_up_to_billion.cpp:26</div></div>
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<div class="ttc" id="aclassstatistics_1_1stats__computer2_html_a7e7a1a2b0a03df0a70cac40d193421d2"><div class="ttname"><a href="../../d8/dab/classstatistics_1_1stats__computer2.html#a7e7a1a2b0a03df0a70cac40d193421d2">statistics::stats_computer2::operator>></a></div><div class="ttdeci">friend std::istream & operator>>(std::istream &input, stats_computer2 &stat)</div><div class="ttdef"><b>Definition:</b> realtime_stats.cpp:97</div></div>
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<div class="ttc" id="auniform_int_distribution_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/random/uniform_int_distribution.html">std::uniform_int_distribution</a></div></div>
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<div class="ttc" id="aprime__numbers_8cpp_html_a3b91f208e8365c95a295cfe3e67df5c3"><div class="ttname"><a href="../../de/d9b/prime__numbers_8cpp.html#a3b91f208e8365c95a295cfe3e67df5c3">primes</a></div><div class="ttdeci">std::vector< int > primes(int max)</div><div class="ttdef"><b>Definition:</b> prime_numbers.cpp:12</div></div>
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<div class="ttc" id="amiller__rabin_8cpp_html_a901288288ef5ebe8e97414cc30797cce"><div class="ttname"><a href="../../d6/d42/miller__rabin_8cpp.html#a901288288ef5ebe8e97414cc30797cce">miller_rabin_primality_test</a></div><div class="ttdeci">bool miller_rabin_primality_test(T num, T repeats)</div><div class="ttdef"><b>Definition:</b> miller_rabin.cpp:125</div></div>
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<div class="ttc" id="afalse__position_8cpp_html_a7d69b49dc37da1c02b3ab8c7fe783494"><div class="ttname"><a href="../../dd/d29/false__position_8cpp.html#a7d69b49dc37da1c02b3ab8c7fe783494">numerical_methods::false_position::regula_falsi</a></div><div class="ttdeci">static float regula_falsi(float x1, float x2, float y1, float y2)</div><div class="ttdoc">This function finds root of the equation in given interval i.e. (x1,x2).</div><div class="ttdef"><b>Definition:</b> false_position.cpp:54</div></div>
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<div class="ttc" id="afalse__position_8cpp_html_a7d69b49dc37da1c02b3ab8c7fe783494"><div class="ttname"><a href="../../dd/d29/false__position_8cpp.html#a7d69b49dc37da1c02b3ab8c7fe783494">numerical_methods::false_position::regula_falsi</a></div><div class="ttdeci">static float regula_falsi(float x1, float x2, float y1, float y2)</div><div class="ttdoc">This function finds root of the equation in given interval i.e. (x1,x2).</div><div class="ttdef"><b>Definition:</b> false_position.cpp:55</div></div>
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<div class="ttc" id="aclock_t_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/chrono/c/clock_t.html">std::clock_t</a></div></div>
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<div class="ttc" id="anamespacenumerical__methods_html"><div class="ttname"><a href="../../d1/de0/namespacenumerical__methods.html">numerical_methods</a></div><div class="ttdoc">for io operations</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 class="ttc" id="aheavy__light__decomposition_8cpp_html_af31ec5409537703d9c8a47350386b32a"><div class="ttname"><a href="../../d2/de9/heavy__light__decomposition_8cpp.html#af31ec5409537703d9c8a47350386b32a">test_3</a></div><div class="ttdeci">static void test_3()</div><div class="ttdef"><b>Definition:</b> heavy_light_decomposition.cpp:592</div></div>
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<div class="ttc" id="apair_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/utility/pair.html">std::pair</a></div></div>
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<div class="ttc" id="abrent__method__extrema_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../db/d01/brent__method__extrema_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdef"><b>Definition:</b> brent_method_extrema.cpp:204</div></div>
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||||
<div class="ttc" id="acos_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/math/cos.html">std::cos</a></div><div class="ttdeci">T cos(T... args)</div></div>
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||||
<div class="ttc" id="abrent__method__extrema_8cpp_html_a002b2f4894492820fe708b1b7e7c5e70"><div class="ttname"><a href="../../db/d01/brent__method__extrema_8cpp.html#a002b2f4894492820fe708b1b7e7c5e70">EPSILON</a></div><div class="ttdeci">#define EPSILON</div><div class="ttdoc">system accuracy limit</div><div class="ttdef"><b>Definition:</b> brent_method_extrema.cpp:23</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 class="ttdoc">STL class.</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< uint64_t ></a></div></div>
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<div class="ttc" id="alu__decompose_8cpp_html_a0283886819c7c140a023582b7269e2d0"><div class="ttname"><a href="../../dd/d65/lu__decompose_8cpp.html#a0283886819c7c140a023582b7269e2d0">test2</a></div><div class="ttdeci">void test2()</div><div class="ttdef"><b>Definition:</b> lu_decompose.cpp:66</div></div>
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||||
<div class="ttc" id="asize_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector/size.html">std::vector::size</a></div><div class="ttdeci">T size(T... args)</div></div>
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<div class="ttc" id="aclassmath_1_1ncr__modulo__p_1_1_n_c_r_modulo_p_html"><div class="ttname"><a href="../../d6/dc1/classmath_1_1ncr__modulo__p_1_1_n_c_r_modulo_p.html">math::ncr_modulo_p::NCRModuloP</a></div><div class="ttdoc">Class which contains all methods required for calculating nCr mod p.</div><div class="ttdef"><b>Definition:</b> ncr_modulo_p.cpp:31</div></div>
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||||
<div class="ttc" id="amodular__exponentiation_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="../../d0/d6d/modular__exponentiation_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a></div><div class="ttdeci">static void test()</div><div class="ttdef"><b>Definition:</b> modular_exponentiation.cpp:60</div></div>
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<div class="ttc" id="apower__for__huge__numbers_8cpp_html_aa141a7904f0c4668bac112d652a3acf9"><div class="ttname"><a href="../../df/def/power__for__huge__numbers_8cpp.html#aa141a7904f0c4668bac112d652a3acf9">multiply</a></div><div class="ttdeci">int multiply(int x, int res[], int res_size)</div><div class="ttdef"><b>Definition:</b> power_for_huge_numbers.cpp:25</div></div>
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||||
<div class="ttc" id="aheavy__light__decomposition_8cpp_html_a458410412185a5f09199deaff7157a8d"><div class="ttname"><a href="../../d2/de9/heavy__light__decomposition_8cpp.html#a458410412185a5f09199deaff7157a8d">test_2</a></div><div class="ttdeci">static void test_2()</div><div class="ttdef"><b>Definition:</b> heavy_light_decomposition.cpp:549</div></div>
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||||
<div class="ttc" id="an__choose__r_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="../../d1/dbb/n__choose__r_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a></div><div class="ttdeci">static void test()</div><div class="ttdoc">Test implementations.</div><div class="ttdef"><b>Definition:</b> n_choose_r.cpp:49</div></div>
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||||
<div class="ttc" id="an__choose__r_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="../../d1/dbb/n__choose__r_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a></div><div class="ttdeci">static void test()</div><div class="ttdoc">Test implementations.</div><div class="ttdef"><b>Definition:</b> n_choose_r.cpp:52</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="asieve__of__eratosthenes_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../d8/ddf/sieve__of__eratosthenes_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdef"><b>Definition:</b> sieve_of_eratosthenes.cpp:65</div></div>
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||||
<div class="ttc" id="afalse__position_8cpp_html_a85a6ec58b5064d63d4f0df3854496713"><div class="ttname"><a href="../../dd/d29/false__position_8cpp.html#a85a6ec58b5064d63d4f0df3854496713">numerical_methods::false_position::eq</a></div><div class="ttdeci">static float eq(float x)</div><div class="ttdoc">This function gives the value of f(x) for given x.</div><div class="ttdef"><b>Definition:</b> false_position.cpp:44</div></div>
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||||
<div class="ttc" id="alcm__sum_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="../../d5/d83/lcm__sum_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a></div><div class="ttdeci">static void test()</div><div class="ttdef"><b>Definition:</b> lcm_sum.cpp:65</div></div>
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||||
<div class="ttc" id="asieve__of__eratosthenes_8cpp_html_a60fa6579eab0db3c1c0ab1bf6d651be3"><div class="ttname"><a href="../../d8/ddf/sieve__of__eratosthenes_8cpp.html#a60fa6579eab0db3c1c0ab1bf6d651be3">sieve</a></div><div class="ttdeci">std::vector< bool > sieve(uint32_t N)</div><div class="ttdef"><b>Definition:</b> sieve_of_eratosthenes.cpp:26</div></div>
|
||||
<div class="ttc" id="adurand__kerner__roots_8cpp_html_a3bada3e58ad8d1b00918db2ffe83a740"><div class="ttname"><a href="../../da/df2/durand__kerner__roots_8cpp.html#a3bada3e58ad8d1b00918db2ffe83a740">complex_str</a></div><div class="ttdeci">const char * complex_str(const std::complex< double > &x)</div><div class="ttdef"><b>Definition:</b> durand_kerner_roots.cpp:76</div></div>
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||||
<div class="ttc" id="asum__of__binomial__coefficient_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="../../d4/d9d/sum__of__binomial__coefficient_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a></div><div class="ttdeci">static void test()</div><div class="ttdef"><b>Definition:</b> sum_of_binomial_coefficient.cpp:36</div></div>
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||||
<div class="ttc" id="asum__of__binomial__coefficient_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="../../d4/d9d/sum__of__binomial__coefficient_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a></div><div class="ttdeci">static void test()</div><div class="ttdef"><b>Definition:</b> sum_of_binomial_coefficient.cpp:37</div></div>
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||||
<div class="ttc" id="agolden__search__extrema_8cpp_html_a6d0455dd5c30adda100e95f0423c786e"><div class="ttname"><a href="../../d6/d7a/golden__search__extrema_8cpp.html#a6d0455dd5c30adda100e95f0423c786e">test3</a></div><div class="ttdeci">void test3()</div><div class="ttdoc">Test function to find maxima for the function in the interval Expected result: .</div><div class="ttdef"><b>Definition:</b> golden_search_extrema.cpp:123</div></div>
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||||
<div class="ttc" id="abrent__method__extrema_8cpp_html_a1aa76a6d5fd4d333f9072beff1dc486b"><div class="ttname"><a href="../../db/d01/brent__method__extrema_8cpp.html#a1aa76a6d5fd4d333f9072beff1dc486b">get_minima</a></div><div class="ttdeci">double get_minima(const std::function< double(double)> &f, double lim_a, double lim_b)</div><div class="ttdoc">Get the real root of a function in the given interval.</div><div class="ttdef"><b>Definition:</b> brent_method_extrema.cpp:35</div></div>
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||||
<div class="ttc" id="asetfill_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/manip/setfill.html">std::setfill</a></div><div class="ttdeci">T setfill(T... args)</div></div>
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@@ -244,11 +247,12 @@ $(document).ready(function(){initNavTree('d1/dbe/lu__decomposition_8h_source.htm
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<div class="ttc" id="abisection__method_8cpp_html_a1ab31b90bc584c635ec159468ceed9b2"><div class="ttname"><a href="../../d7/d6a/bisection__method_8cpp.html#a1ab31b90bc584c635ec159468ceed9b2">sgn</a></div><div class="ttdeci">int sgn(T val)</div><div class="ttdef"><b>Definition:</b> bisection_method.cpp:32</div></div>
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||||
<div class="ttc" id="aclassstatistics_1_1stats__computer1_html_af57e942d49f4fd70f059f224b4ac07e1"><div class="ttname"><a href="../../d7/d7c/classstatistics_1_1stats__computer1.html#af57e942d49f4fd70f059f224b4ac07e1">statistics::stats_computer1::std</a></div><div class="ttdeci">double std() const</div><div class="ttdef"><b>Definition:</b> realtime_stats.cpp:48</div></div>
|
||||
<div class="ttc" id="aprime__factorization_8cpp_html_acfb0df439a4beae5a34ef131ce737c1b"><div class="ttname"><a href="../../db/d0d/prime__factorization_8cpp.html#acfb0df439a4beae5a34ef131ce737c1b">factors</a></div><div class="ttdeci">std::vector< std::pair< int, int > > factors</div><div class="ttdef"><b>Definition:</b> prime_factorization.cpp:19</div></div>
|
||||
<div class="ttc" id="an__choose__r_8cpp_html_a0ddf1224851353fc92bfbff6f499fa97"><div class="ttname"><a href="../../d1/dbb/n__choose__r_8cpp.html#a0ddf1224851353fc92bfbff6f499fa97">main</a></div><div class="ttdeci">int main(int argc, char *argv[])</div><div class="ttdoc">Main function.</div><div class="ttdef"><b>Definition:</b> n_choose_r.cpp:78</div></div>
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<div class="ttc" id="an__choose__r_8cpp_html_a0ddf1224851353fc92bfbff6f499fa97"><div class="ttname"><a href="../../d1/dbb/n__choose__r_8cpp.html#a0ddf1224851353fc92bfbff6f499fa97">main</a></div><div class="ttdeci">int main(int argc, char *argv[])</div><div class="ttdoc">Main function.</div><div class="ttdef"><b>Definition:</b> n_choose_r.cpp:80</div></div>
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<div class="ttc" id="aprime__factorization_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../db/d0d/prime__factorization_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdef"><b>Definition:</b> prime_factorization.cpp:62</div></div>
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<div class="ttc" id="amiller__rabin_8cpp_html_a798398d5bfd375a3c0ce68100842f6f5"><div class="ttname"><a href="../../d6/d42/miller__rabin_8cpp.html#a798398d5bfd375a3c0ce68100842f6f5">reverse_binary</a></div><div class="ttdeci">std::vector< T > reverse_binary(T num)</div><div class="ttdef"><b>Definition:</b> miller_rabin.cpp:19</div></div>
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||||
<div class="ttc" id="asqrt_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/math/sqrt.html">std::sqrt</a></div><div class="ttdeci">T sqrt(T... args)</div></div>
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<div class="ttc" id="apower__for__huge__numbers_8cpp_html_ae249a2af508aa94266023ce8aa81426f"><div class="ttname"><a href="../../df/def/power__for__huge__numbers_8cpp.html#ae249a2af508aa94266023ce8aa81426f">power</a></div><div class="ttdeci">void power(int x, int n)</div><div class="ttdef"><b>Definition:</b> power_for_huge_numbers.cpp:56</div></div>
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<div class="ttc" id="aclassmath_1_1ncr__modulo__p_1_1_n_c_r_modulo_p_html_a57c168cd6eb85718eab97da658a698ad"><div class="ttname"><a href="../../d6/dc1/classmath_1_1ncr__modulo__p_1_1_n_c_r_modulo_p.html#a57c168cd6eb85718eab97da658a698ad">math::ncr_modulo_p::NCRModuloP::p</a></div><div class="ttdeci">uint64_t p</div><div class="ttdoc">stores precomputed factorial(i) % p value</div><div class="ttdef"><b>Definition:</b> ncr_modulo_p.cpp:34</div></div>
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||||
<div class="ttc" id="agolden__search__extrema_8cpp_html_a1440a7779ac56f47a3f355ce4a8c7da0"><div class="ttname"><a href="../../d6/d7a/golden__search__extrema_8cpp.html#a1440a7779ac56f47a3f355ce4a8c7da0">test1</a></div><div class="ttdeci">void test1()</div><div class="ttdoc">Test function to find minima for the function in the interval Expected result = 2.</div><div class="ttdef"><b>Definition:</b> golden_search_extrema.cpp:78</div></div>
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||||
<div class="ttc" id="acheck__prime_8cpp_html_aa18b3517017d99bb4024853bddba5532"><div class="ttname"><a href="../../db/d93/check__prime_8cpp.html#aa18b3517017d99bb4024853bddba5532">is_prime</a></div><div class="ttdeci">bool is_prime(T num)</div><div class="ttdef"><b>Definition:</b> check_prime.cpp:22</div></div>
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||||
<div class="ttc" id="aprime__numbers_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../de/d9b/prime__numbers_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdef"><b>Definition:</b> prime_numbers.cpp:26</div></div>
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@@ -271,16 +275,18 @@ $(document).ready(function(){initNavTree('d1/dbe/lu__decomposition_8h_source.htm
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<div class="ttc" id="ainfinity_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/types/numeric_limits/infinity.html">std::numeric_limits::infinity</a></div><div class="ttdeci">T infinity(T... args)</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="abasic_ofstream_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/basic_ofstream.html">std::ofstream</a></div><div class="ttdoc">STL class.</div></div>
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||||
<div class="ttc" id="afalse__position_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../dd/d29/false__position_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdoc">Main function.</div><div class="ttdef"><b>Definition:</b> false_position.cpp:106</div></div>
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||||
<div class="ttc" id="afalse__position_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../dd/d29/false__position_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdoc">Main function.</div><div class="ttdef"><b>Definition:</b> false_position.cpp:102</div></div>
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||||
<div class="ttc" id="aisinf_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/math/isinf.html">std::isinf</a></div><div class="ttdeci">T isinf(T... args)</div></div>
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||||
<div class="ttc" id="alcm__sum_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../d5/d83/lcm__sum_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdoc">Main function.</div><div class="ttdef"><b>Definition:</b> lcm_sum.cpp:96</div></div>
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||||
<div class="ttc" id="aclassstatistics_1_1stats__computer2_html_af6198817084276113b3c064e87ce0555"><div class="ttname"><a href="../../d8/dab/classstatistics_1_1stats__computer2.html#af6198817084276113b3c064e87ce0555">statistics::stats_computer2::variance</a></div><div class="ttdeci">double variance() const</div><div class="ttdef"><b>Definition:</b> realtime_stats.cpp:89</div></div>
|
||||
<div class="ttc" id="aleast__common__multiple_8cpp_html_a8ba1fc66e4134ab25b2602b323150563"><div class="ttname"><a href="../../d4/d21/least__common__multiple_8cpp.html#a8ba1fc66e4134ab25b2602b323150563">gcd</a></div><div class="ttdeci">unsigned int gcd(unsigned int x, unsigned int y)</div><div class="ttdef"><b>Definition:</b> least_common_multiple.cpp:16</div></div>
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||||
<div class="ttc" id="asqrt__double_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../da/d24/sqrt__double_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdef"><b>Definition:</b> sqrt_double.cpp:42</div></div>
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||||
<div class="ttc" id="aclassmath_1_1ncr__modulo__p_1_1_n_c_r_modulo_p_html_af3d41271912f9fa50b774c96c51874b9"><div class="ttname"><a href="../../d6/dc1/classmath_1_1ncr__modulo__p_1_1_n_c_r_modulo_p.html#af3d41271912f9fa50b774c96c51874b9">math::ncr_modulo_p::NCRModuloP::NCRModuloP</a></div><div class="ttdeci">NCRModuloP(const uint64_t &size, const uint64_t &mod)</div><div class="ttdoc">the p from (nCr % p)</div><div class="ttdef"><b>Definition:</b> ncr_modulo_p.cpp:41</div></div>
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||||
<div class="ttc" id="amiller__rabin_8cpp_html_ad6c2c67ea416d0e80003a88623f98b29"><div class="ttname"><a href="../../d6/d42/miller__rabin_8cpp.html#ad6c2c67ea416d0e80003a88623f98b29">modular_exponentiation</a></div><div class="ttdeci">T modular_exponentiation(T base, const std::vector< T > &rev_binary_exponent, T mod)</div><div class="ttdef"><b>Definition:</b> miller_rabin.cpp:43</div></div>
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||||
<div class="ttc" id="adurand__kerner__roots_8cpp_html_a51637ff89e55ca749993d3e84b95d153"><div class="ttname"><a href="../../da/df2/durand__kerner__roots_8cpp.html#a51637ff89e55ca749993d3e84b95d153">poly_function</a></div><div class="ttdeci">std::complex< double > poly_function(const std::valarray< double > &coeffs, std::complex< double > x)</div><div class="ttdef"><b>Definition:</b> durand_kerner_roots.cpp:53</div></div>
|
||||
<div class="ttc" id="alu__decompose_8cpp_html_a3c04138a5bfe5d72780bb7e82a18e627"><div class="ttname"><a href="../../dd/d65/lu__decompose_8cpp.html#a3c04138a5bfe5d72780bb7e82a18e627">main</a></div><div class="ttdeci">int main(int argc, char **argv)</div><div class="ttdef"><b>Definition:</b> lu_decompose.cpp:84</div></div>
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||||
<div class="ttc" id="avalarray_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray< double ></a></div></div>
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||||
<div class="ttc" id="ancr__modulo__p_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../de/dab/ncr__modulo__p_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdoc">Main function.</div><div class="ttdef"><b>Definition:</b> ncr_modulo_p.cpp:137</div></div>
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||||
<div class="ttc" id="areal_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/complex/real.html">std::complex::real</a></div><div class="ttdeci">T real(T... args)</div></div>
|
||||
<div class="ttc" id="adurand__kerner__roots_8cpp_html_a1440a7779ac56f47a3f355ce4a8c7da0"><div class="ttname"><a href="../../da/df2/durand__kerner__roots_8cpp.html#a1440a7779ac56f47a3f355ce4a8c7da0">test1</a></div><div class="ttdeci">void test1()</div><div class="ttdef"><b>Definition:</b> durand_kerner_roots.cpp:207</div></div>
|
||||
<div class="ttc" id="agaussian__elimination_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../d0/de2/gaussian__elimination_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdef"><b>Definition:</b> gaussian_elimination.cpp:9</div></div>
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||||
@@ -290,6 +296,7 @@ $(document).ready(function(){initNavTree('d1/dbe/lu__decomposition_8h_source.htm
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||||
<div class="ttc" id="aclassstatistics_1_1stats__computer2_html"><div class="ttname"><a href="../../d8/dab/classstatistics_1_1stats__computer2.html">statistics::stats_computer2</a></div><div class="ttdef"><b>Definition:</b> realtime_stats.cpp:72</div></div>
|
||||
<div class="ttc" id="anamespacemath_html_a8d8e81a7cd59644b311ef9adb268f5f0"><div class="ttname"><a href="../../dd/d47/namespacemath.html#a8d8e81a7cd59644b311ef9adb268f5f0">math::magic_number</a></div><div class="ttdeci">bool magic_number(const uint64_t &n)</div><div class="ttdef"><b>Definition:</b> magic_number.cpp:32</div></div>
|
||||
<div class="ttc" id="amagic__number_8cpp_html_a483bb8ccf42aaf7375a83e91490eda1e"><div class="ttname"><a href="../../d9/d44/magic__number_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">tests</a></div><div class="ttdeci">static void tests()</div><div class="ttdoc">Test function.</div><div class="ttdef"><b>Definition:</b> magic_number.cpp:51</div></div>
|
||||
<div class="ttc" id="aclassmath_1_1ncr__modulo__p_1_1_n_c_r_modulo_p_html_a6b95277f5f527beacc8d0f3bc91fcd08"><div class="ttname"><a href="../../d6/dc1/classmath_1_1ncr__modulo__p_1_1_n_c_r_modulo_p.html#a6b95277f5f527beacc8d0f3bc91fcd08">math::ncr_modulo_p::NCRModuloP::ncr</a></div><div class="ttdeci">int64_t ncr(const uint64_t &n, const uint64_t &r, const uint64_t &p)</div><div class="ttdef"><b>Definition:</b> ncr_modulo_p.cpp:92</div></div>
|
||||
<div class="ttc" id="arealtime__stats_8cpp_html_a3c04138a5bfe5d72780bb7e82a18e627"><div class="ttname"><a href="../../d0/d08/realtime__stats_8cpp.html#a3c04138a5bfe5d72780bb7e82a18e627">main</a></div><div class="ttdeci">int main(int argc, char **argv)</div><div class="ttdef"><b>Definition:</b> realtime_stats.cpp:158</div></div>
|
||||
<div class="ttc" id="asieve__of__eratosthenes_8cpp_html_a235843bdf82d2a6cc8596ae8fd3b8df9"><div class="ttname"><a href="../../d8/ddf/sieve__of__eratosthenes_8cpp.html#a235843bdf82d2a6cc8596ae8fd3b8df9">print</a></div><div class="ttdeci">void print(uint32_t N, const std::vector< bool > &is_prime)</div><div class="ttdef"><b>Definition:</b> sieve_of_eratosthenes.cpp:44</div></div>
|
||||
<div class="ttc" id="arand_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/random/rand.html">std::rand</a></div><div class="ttdeci">T rand(T... args)</div></div>
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||||
@@ -302,10 +309,10 @@ $(document).ready(function(){initNavTree('d1/dbe/lu__decomposition_8h_source.htm
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||||
<div class="ttc" id="amiller__rabin_8cpp_html_a6f9c31c1047aa3191676d64571d4c506"><div class="ttname"><a href="../../d6/d42/miller__rabin_8cpp.html#a6f9c31c1047aa3191676d64571d4c506">miller_test</a></div><div class="ttdeci">bool miller_test(T d, T num)</div><div class="ttdef"><b>Definition:</b> miller_rabin.cpp:73</div></div>
|
||||
<div class="ttc" id="aleast__common__multiple_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../d4/d21/least__common__multiple_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdef"><b>Definition:</b> least_common_multiple.cpp:78</div></div>
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||||
<div class="ttc" id="alu__decomposition_8h_html_a75b8a228c6419ecda6077255d6d60509"><div class="ttname"><a href="../../d1/dbe/lu__decomposition_8h.html#a75b8a228c6419ecda6077255d6d60509">lu_decomposition</a></div><div class="ttdeci">int lu_decomposition(const matrix< T > &A, matrix< double > *L, matrix< double > *U)</div><div class="ttdef"><b>Definition:</b> lu_decomposition.h:29</div></div>
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||||
<div class="ttc" id="anamespacemath_html_a6e2dff75c5de70455b90c799d6ad6967"><div class="ttname"><a href="../../dd/d47/namespacemath.html#a6e2dff75c5de70455b90c799d6ad6967">math::n_choose_r</a></div><div class="ttdeci">T n_choose_r(T n, T r)</div><div class="ttdoc">This is the function implementation of .</div><div class="ttdef"><b>Definition:</b> n_choose_r.cpp:33</div></div>
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||||
<div class="ttc" id="anamespacemath_html_a6e2dff75c5de70455b90c799d6ad6967"><div class="ttname"><a href="../../dd/d47/namespacemath.html#a6e2dff75c5de70455b90c799d6ad6967">math::n_choose_r</a></div><div class="ttdeci">T n_choose_r(T n, T r)</div><div class="ttdoc">This is the function implementation of .</div><div class="ttdef"><b>Definition:</b> n_choose_r.cpp:35</div></div>
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||||
<div class="ttc" id="aheavy__light__decomposition_8cpp_html_a34b8683a2b429de5cce57e6d733ec817"><div class="ttname"><a href="../../d2/de9/heavy__light__decomposition_8cpp.html#a34b8683a2b429de5cce57e6d733ec817">test_1</a></div><div class="ttdeci">static void test_1()</div><div class="ttdef"><b>Definition:</b> heavy_light_decomposition.cpp:505</div></div>
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||||
<div class="ttc" id="amodular__inverse__fermat__little__theorem_8cpp_html_a4c6eefd1254eab3e8d34bf02c205e0f4"><div class="ttname"><a href="../../d8/d53/modular__inverse__fermat__little__theorem_8cpp.html#a4c6eefd1254eab3e8d34bf02c205e0f4">binExpo</a></div><div class="ttdeci">int64_t binExpo(int64_t a, int64_t b, int64_t m)</div><div class="ttdef"><b>Definition:</b> modular_inverse_fermat_little_theorem.cpp:52</div></div>
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||||
<div class="ttc" id="anamespacemath_html_ae1ca505751f5a6d3977b86372cfe75ea"><div class="ttname"><a href="../../dd/d47/namespacemath.html#ae1ca505751f5a6d3977b86372cfe75ea">math::binomialCoeffSum</a></div><div class="ttdeci">uint64_t binomialCoeffSum(uint64_t n)</div><div class="ttdef"><b>Definition:</b> sum_of_binomial_coefficient.cpp:24</div></div>
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||||
<div class="ttc" id="anamespacemath_html_ae1ca505751f5a6d3977b86372cfe75ea"><div class="ttname"><a href="../../dd/d47/namespacemath.html#ae1ca505751f5a6d3977b86372cfe75ea">math::binomialCoeffSum</a></div><div class="ttdeci">uint64_t binomialCoeffSum(uint64_t n)</div><div class="ttdef"><b>Definition:</b> sum_of_binomial_coefficient.cpp:26</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="aclassstatistics_1_1stats__computer1_html_aa13bf7c38de112f71921a5525d71a2f2"><div class="ttname"><a href="../../d7/d7c/classstatistics_1_1stats__computer1.html#aa13bf7c38de112f71921a5525d71a2f2">statistics::stats_computer1::new_val</a></div><div class="ttdeci">void new_val(T x)</div><div class="ttdef"><b>Definition:</b> realtime_stats.cpp:32</div></div>
|
||||
<div class="ttc" id="abrent__method__extrema_8cpp_html_a0283886819c7c140a023582b7269e2d0"><div class="ttname"><a href="../../db/d01/brent__method__extrema_8cpp.html#a0283886819c7c140a023582b7269e2d0">test2</a></div><div class="ttdeci">void test2()</div><div class="ttdoc">Test function to find root for the function in the interval Expected result: .</div><div class="ttdef"><b>Definition:</b> brent_method_extrema.cpp:165</div></div>
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@@ -317,6 +324,7 @@ $(document).ready(function(){initNavTree('d1/dbe/lu__decomposition_8h_source.htm
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<div class="ttc" id="abegin_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector/begin.html">std::vector::cbegin</a></div><div class="ttdeci">T cbegin(T... args)</div></div>
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||||
<div class="ttc" id="amiller__rabin_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../d6/d42/miller__rabin_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdef"><b>Definition:</b> miller_rabin.cpp:183</div></div>
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||||
<div class="ttc" id="anamespacemath_html_afcd07701d73ed65cd616bcba02737f3d"><div class="ttname"><a href="../../dd/d47/namespacemath.html#afcd07701d73ed65cd616bcba02737f3d">math::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> modular_exponentiation.cpp:35</div></div>
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||||
<div class="ttc" id="aclassmath_1_1ncr__modulo__p_1_1_n_c_r_modulo_p_html_a0431ec5c876e1154d8e1e5f89e1ab34a"><div class="ttname"><a href="../../d6/dc1/classmath_1_1ncr__modulo__p_1_1_n_c_r_modulo_p.html#a0431ec5c876e1154d8e1e5f89e1ab34a">math::ncr_modulo_p::NCRModuloP::modInverse</a></div><div class="ttdeci">int64_t modInverse(const uint64_t &a, const uint64_t &m)</div><div class="ttdef"><b>Definition:</b> ncr_modulo_p.cpp:76</div></div>
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||||
<div class="ttc" id="astrtof_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/string/byte/strtof.html">std::strtod</a></div><div class="ttdeci">T strtod(T... args)</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 std::vector</div></div>
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||||
<div class="ttc" id="apower__for__huge__numbers_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../df/def/power__for__huge__numbers_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdef"><b>Definition:</b> power_for_huge_numbers.cpp:82</div></div>
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@@ -332,11 +340,13 @@ $(document).ready(function(){initNavTree('d1/dbe/lu__decomposition_8h_source.htm
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<div class="ttc" id="asum__of__digits_8cpp_html_a1440a7779ac56f47a3f355ce4a8c7da0"><div class="ttname"><a href="../../d4/d83/sum__of__digits_8cpp.html#a1440a7779ac56f47a3f355ce4a8c7da0">test1</a></div><div class="ttdeci">void test1()</div><div class="ttdef"><b>Definition:</b> sum_of_digits.cpp:40</div></div>
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<div class="ttc" id="acomplex_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/complex.html">std::complex</a></div><div class="ttdoc">STL class.</div></div>
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<div class="ttc" id="aimag_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/complex/imag.html">std::complex::imag</a></div><div class="ttdeci">T imag(T... args)</div></div>
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||||
<div class="ttc" id="anamespacencr__modulo__p_html"><div class="ttname"><a href="../../d4/db9/namespacencr__modulo__p.html">ncr_modulo_p</a></div><div class="ttdoc">Functions for nCr modulo p implementation.</div></div>
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||||
<div class="ttc" id="abrent__method__extrema_8cpp_html_a1440a7779ac56f47a3f355ce4a8c7da0"><div class="ttname"><a href="../../db/d01/brent__method__extrema_8cpp.html#a1440a7779ac56f47a3f355ce4a8c7da0">test1</a></div><div class="ttdeci">void test1()</div><div class="ttdoc">Test function to find root for the function in the interval Expected result = 2.</div><div class="ttdef"><b>Definition:</b> brent_method_extrema.cpp:143</div></div>
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||||
<div class="ttc" id="astring__fibonacci_8cpp_html_a28052eee05d43c2ebc5147c52bd50c35"><div class="ttname"><a href="../../de/d47/string__fibonacci_8cpp.html#a28052eee05d43c2ebc5147c52bd50c35">add</a></div><div class="ttdeci">std::string add(std::string a, std::string b)</div><div class="ttdef"><b>Definition:</b> string_fibonacci.cpp:24</div></div>
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||||
<div class="ttc" id="amake_pair_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/utility/pair/make_pair.html">std::make_pair</a></div><div class="ttdeci">T make_pair(T... args)</div></div>
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<div class="ttc" id="atime_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/chrono/c/time.html">std::time</a></div><div class="ttdeci">T time(T... args)</div></div>
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<div class="ttc" id="abisection__method_8cpp_html_a0a3abbca80bc98e7abcb3ae73abe0f14"><div class="ttname"><a href="../../d7/d6a/bisection__method_8cpp.html#a0a3abbca80bc98e7abcb3ae73abe0f14">MAX_ITERATIONS</a></div><div class="ttdeci">#define MAX_ITERATIONS</div><div class="ttdoc">Maximum number of iterations to check.</div><div class="ttdef"><b>Definition:</b> bisection_method.cpp:22</div></div>
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<div class="ttc" id="aclassmath_1_1ncr__modulo__p_1_1_n_c_r_modulo_p_html_afde201f4687740454302c444f507a926"><div class="ttname"><a href="../../d6/dc1/classmath_1_1ncr__modulo__p_1_1_n_c_r_modulo_p.html#afde201f4687740454302c444f507a926">math::ncr_modulo_p::NCRModuloP::gcdExtended</a></div><div class="ttdeci">uint64_t gcdExtended(const uint64_t &a, const uint64_t &b, int64_t *x, int64_t *y)</div><div class="ttdef"><b>Definition:</b> ncr_modulo_p.cpp:56</div></div>
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<div class="ttc" id="aend_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector/end.html">std::vector::cend</a></div><div class="ttdeci">T cend(T... args)</div></div>
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<div class="ttc" id="asieve__of__eratosthenes_8cpp_html_a88ec9ad42717780d6caaff9d3d6977f9"><div class="ttname"><a href="../../d8/ddf/sieve__of__eratosthenes_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">tests</a></div><div class="ttdeci">void tests()</div><div class="ttdef"><b>Definition:</b> sieve_of_eratosthenes.cpp:56</div></div>
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<div class="ttc" id="asetw_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/manip/setw.html">std::setw</a></div><div class="ttdeci">T setw(T... args)</div></div>
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@@ -359,7 +369,7 @@ $(document).ready(function(){initNavTree('d1/dbe/lu__decomposition_8h_source.htm
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<div class="ttc" id="apower__for__huge__numbers_8cpp_html_a392fb874e547e582e9c66a08a1f23326"><div class="ttname"><a href="../../df/def/power__for__huge__numbers_8cpp.html#a392fb874e547e582e9c66a08a1f23326">MAX</a></div><div class="ttdeci">#define MAX</div><div class="ttdef"><b>Definition:</b> power_for_huge_numbers.cpp:10</div></div>
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||||
<div class="ttc" id="aclassstatistics_1_1stats__computer1_html_ab5b4bfecdf391cae7edb1fe98548b846"><div class="ttname"><a href="../../d7/d7c/classstatistics_1_1stats__computer1.html#ab5b4bfecdf391cae7edb1fe98548b846">statistics::stats_computer1::operator>></a></div><div class="ttdeci">friend std::istream & operator>>(std::istream &input, stats_computer1 &stat)</div><div class="ttdef"><b>Definition:</b> realtime_stats.cpp:53</div></div>
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<div class="ttc" id="amiller__rabin_8cpp_html_a88ec9ad42717780d6caaff9d3d6977f9"><div class="ttname"><a href="../../d6/d42/miller__rabin_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">tests</a></div><div class="ttdeci">void tests()</div><div class="ttdef"><b>Definition:</b> miller_rabin.cpp:157</div></div>
|
||||
<div class="ttc" id="afibonacci__sum_8cpp_html_aadb40ac4c74a7efc0680b83eeee138aa"><div class="ttname"><a href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">math::fibonacci_sum::result</a></div><div class="ttdeci">uint64_t result(uint64_t n)</div><div class="ttdef"><b>Definition:</b> fibonacci_sum.cpp:75</div></div>
|
||||
<div class="ttc" id="afibonacci__sum_8cpp_html_aadb40ac4c74a7efc0680b83eeee138aa"><div class="ttname"><a href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">math::fibonacci_sum::result</a></div><div class="ttdeci">uint64_t result(uint64_t n)</div><div class="ttdef"><b>Definition:</b> fibonacci_sum.cpp:76</div></div>
|
||||
<div class="ttc" id="anamespacemachine__learning_html_a5305cc18d11943d3dc0d66e70d7e9c44"><div class="ttname"><a href="../../d8/d77/namespacemachine__learning.html#a5305cc18d11943d3dc0d66e70d7e9c44">machine_learning::sum</a></div><div class="ttdeci">T sum(const std::vector< std::valarray< T >> &A)</div><div class="ttdef"><b>Definition:</b> vector_ops.hpp:232</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>
|
||||
<div class="ttc" id="apow_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/math/pow.html">std::pow</a></div><div class="ttdeci">T pow(T... args)</div></div>
|
||||
|
||||
@@ -100,11 +100,11 @@ $(document).ready(function(){initNavTree('d1/dcc/wiggle__sort_8cpp.html','../../
|
||||
|
||||
<p><a href="https://leetcode.com/problems/wiggle-sort-ii/">Wiggle Sort Algorithm</a> Implementation
|
||||
<a href="#details">More...</a></p>
|
||||
<div class="textblock"><code>#include <iostream></code><br />
|
||||
<code>#include <algorithm></code><br />
|
||||
<code>#include <vector></code><br />
|
||||
<div class="textblock"><code>#include <algorithm></code><br />
|
||||
<code>#include <cassert></code><br />
|
||||
<code>#include <ctime></code><br />
|
||||
<code>#include <iostream></code><br />
|
||||
<code>#include <vector></code><br />
|
||||
</div><div class="textblock"><div class="dynheader">
|
||||
Include dependency graph for wiggle_sort.cpp:</div>
|
||||
<div class="dyncontent">
|
||||
@@ -169,27 +169,25 @@ template<typename T > </div>
|
||||
</dl>
|
||||
<dl class="section examples"><dt>Examples</dt><dd><a class="el" href="../../dd/db0/_2_users_2runner_2work_2_c-_plus-_plus_2_c-_plus-_plus_2sorting_2wiggle_sort_8cpp-example.html#a1">/Users/runner/work/C-Plus-Plus/C-Plus-Plus/sorting/wiggle_sort.cpp</a>.</dd>
|
||||
</dl>
|
||||
<div class="fragment"><div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  {</div>
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||||
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  </div>
|
||||
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  uint32_t size = arr.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>();</div>
|
||||
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  </div>
|
||||
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<T></a> out(arr); <span class="comment">// create a copy of input vector. this way, the original input vector does not get modified. a sorted array is is returned.</span></div>
|
||||
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  </div>
|
||||
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  <span class="keywordflow">for</span>(<span class="keywordtype">int</span> i = 0; i < size ; i +=2) {</div>
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||||
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  </div>
|
||||
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  <span class="keywordflow">if</span>(i > 0 && out[i-1] > out[i]) {</div>
|
||||
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/swap.html">std::swap</a>(out[i],out[i-1]); <span class="comment">//swapping the two values</span></div>
|
||||
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  }</div>
|
||||
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  </div>
|
||||
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  <span class="keywordflow">if</span>(i < size - 1 && out[i] < out[i+1]) {</div>
|
||||
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/swap.html">std::swap</a>(out[i],out[i+1]); <span class="comment">//swapping the two values</span></div>
|
||||
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  }</div>
|
||||
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  </div>
|
||||
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  }</div>
|
||||
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  </div>
|
||||
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  <span class="keywordflow">return</span> out; <span class="comment">//returns the sorted vector</span></div>
|
||||
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  </div>
|
||||
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  }</div>
|
||||
<div class="fragment"><div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  {</div>
|
||||
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  uint32_t size = arr.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>();</div>
|
||||
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  </div>
|
||||
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<T></a> out(</div>
|
||||
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  arr); <span class="comment">// create a copy of input vector. this way, the original input</span></div>
|
||||
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  <span class="comment">// vector does not get modified. a sorted array is is returned.</span></div>
|
||||
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  </div>
|
||||
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < size; i += 2) {</div>
|
||||
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  <span class="keywordflow">if</span> (i > 0 && out[i - 1] > out[i]) {</div>
|
||||
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/swap.html">std::swap</a>(out[i], out[i - 1]); <span class="comment">// swapping the two values</span></div>
|
||||
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  }</div>
|
||||
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  </div>
|
||||
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  <span class="keywordflow">if</span> (i < size - 1 && out[i] < out[i + 1]) {</div>
|
||||
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/swap.html">std::swap</a>(out[i], out[i + 1]); <span class="comment">// swapping the two values</span></div>
|
||||
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  }</div>
|
||||
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  }</div>
|
||||
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  </div>
|
||||
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  <span class="keywordflow">return</span> out; <span class="comment">// returns the sorted vector</span></div>
|
||||
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span> }</div>
|
||||
</div><!-- fragment --><div class="dynheader">
|
||||
Here is the call graph for this function:</div>
|
||||
<div class="dyncontent">
|
||||
|
||||
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