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dd/d29/false__position_8cpp.html
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@@ -178,7 +178,7 @@ Functions</h2></td></tr>
</dl>
<dl class="section return"><dt>Returns</dt><dd>value of f(x) for given x. </dd></dl>
<div class="fragment"><div class="line"><a name="l00044"></a><span class="lineno"> 44</span>&#160; {</div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>&#160; <span class="keywordflow">return</span> (x*x-x); <span class="comment">// original equation</span></div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>&#160; <span class="keywordflow">return</span> (x * x - x); <span class="comment">// original equation</span></div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>&#160;}</div>
</div><!-- fragment --><div class="dynheader">
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@@ -207,30 +207,33 @@ Here is the call graph for this function:</div>
<p>Main function. </p>
<dl class="section return"><dt>Returns</dt><dd>0 on exit </dd></dl>
<div class="fragment"><div class="line"><a name="l00106"></a><span class="lineno"> 106</span>&#160; {</div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>&#160; <span class="keywordtype">float</span> a=0, b=0,i=0,root=0;</div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>&#160; int16_t count=0;</div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>&#160; <span class="keywordtype">float</span> range = 100000; <span class="comment">//Range in which we have to find the root. (-range,range)</span></div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>&#160; <span class="keywordtype">float</span> gap = 0.5; <span class="comment">// interval gap. lesser the gap more the accuracy</span></div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>&#160; a = <a class="code" href="../../dd/d29/false__position_8cpp.html#a85a6ec58b5064d63d4f0df3854496713">numerical_methods::false_position::eq</a>((-1)*range);</div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>&#160; i=((-1)*range + gap);</div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>&#160; <span class="comment">//while loop for selecting proper interval in provided range and with provided interval gap.</span></div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>&#160; <span class="keywordflow">while</span>(i&lt;=range){</div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>&#160; b = <a class="code" href="../../dd/d29/false__position_8cpp.html#a85a6ec58b5064d63d4f0df3854496713">numerical_methods::false_position::eq</a>(i);</div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>&#160; <span class="keywordflow">if</span>(b==0){</div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>&#160; count++;</div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>&#160; <a class="code" href="../../dd/d29/false__position_8cpp.html#a85cb7bfb90abc898e042d624372c5345">numerical_methods::false_position::printRoot</a>(i,count);</div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>&#160; }</div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>&#160; <span class="keywordflow">if</span>(a*b&lt;0){</div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>&#160; root = <a class="code" href="../../dd/d29/false__position_8cpp.html#a7d69b49dc37da1c02b3ab8c7fe783494">numerical_methods::false_position::regula_falsi</a>(i-gap,i,a,b);</div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>&#160; count++;</div>
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>&#160; <a class="code" href="../../dd/d29/false__position_8cpp.html#a85cb7bfb90abc898e042d624372c5345">numerical_methods::false_position::printRoot</a>(root,count);</div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>&#160; }</div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>&#160; a=b;</div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>&#160; i+=gap;</div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>&#160; }</div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>&#160; <span class="keywordflow">return</span> 0;</div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>&#160;}</div>
<div class="fragment"><div class="line"><a name="l00102"></a><span class="lineno"> 102</span>&#160; {</div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>&#160; <span class="keywordtype">float</span> a = 0, b = 0, i = 0, root = 0;</div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>&#160; int16_t count = 0;</div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>&#160; <span class="keywordtype">float</span> range =</div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>&#160; 100000; <span class="comment">// Range in which we have to find the root. (-range,range)</span></div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>&#160; <span class="keywordtype">float</span> gap = 0.5; <span class="comment">// interval gap. lesser the gap more the accuracy</span></div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>&#160; a = <a class="code" href="../../dd/d29/false__position_8cpp.html#a85a6ec58b5064d63d4f0df3854496713">numerical_methods::false_position::eq</a>((-1) * range);</div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>&#160; i = ((-1) * range + gap);</div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>&#160; <span class="comment">// while loop for selecting proper interval in provided range and with</span></div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>&#160; <span class="comment">// provided interval gap.</span></div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>&#160; <span class="keywordflow">while</span> (i &lt;= range) {</div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>&#160; b = <a class="code" href="../../dd/d29/false__position_8cpp.html#a85a6ec58b5064d63d4f0df3854496713">numerical_methods::false_position::eq</a>(i);</div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>&#160; <span class="keywordflow">if</span> (b == 0) {</div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>&#160; count++;</div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>&#160; <a class="code" href="../../dd/d29/false__position_8cpp.html#a85cb7bfb90abc898e042d624372c5345">numerical_methods::false_position::printRoot</a>(i, count);</div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>&#160; }</div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>&#160; <span class="keywordflow">if</span> (a * b &lt; 0) {</div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>&#160; root = <a class="code" href="../../dd/d29/false__position_8cpp.html#a7d69b49dc37da1c02b3ab8c7fe783494">numerical_methods::false_position::regula_falsi</a>(i - gap, i,</div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>&#160; a, b);</div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>&#160; count++;</div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>&#160; <a class="code" href="../../dd/d29/false__position_8cpp.html#a85cb7bfb90abc898e042d624372c5345">numerical_methods::false_position::printRoot</a>(root, count);</div>
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>&#160; }</div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>&#160; a = b;</div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>&#160; i += gap;</div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>&#160; }</div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>&#160; <span class="keywordflow">return</span> 0;</div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>&#160;}</div>
</div><!-- fragment -->
</div>
</div>
@@ -268,20 +271,17 @@ Here is the call graph for this function:</div>
</table>
</dd>
</dl>
<div class="fragment"><div class="line"><a name="l00084"></a><span class="lineno"> 84</span>&#160; {</div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>&#160; <span class="keywordflow">if</span>(count==1){</div>
<div class="fragment"><div class="line"><a name="l00084"></a><span class="lineno"> 84</span>&#160; {</div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>&#160; <span class="keywordflow">if</span> (count == 1) {</div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Your 1st root is : &quot;</span> &lt;&lt; root &lt;&lt; <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="l00087"></a><span class="lineno"> 87</span>&#160; }</div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>&#160; <span class="keywordflow">else</span> <span class="keywordflow">if</span>(count==2){</div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Your 2nd root is : &quot;</span> &lt;&lt; root &lt;&lt; <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="l00090"></a><span class="lineno"> 90</span>&#160; }</div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>&#160; <span class="keywordflow">else</span> <span class="keywordflow">if</span>(count==3){</div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Your 3rd root is : &quot;</span> &lt;&lt; root &lt;&lt; <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="l00087"></a><span class="lineno"> 87</span>&#160; } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (count == 2) {</div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Your 2nd root is : &quot;</span> &lt;&lt; root &lt;&lt; <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="l00089"></a><span class="lineno"> 89</span>&#160; } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (count == 3) {</div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Your 3rd root is : &quot;</span> &lt;&lt; root &lt;&lt; <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="l00091"></a><span class="lineno"> 91</span>&#160; } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Your &quot;</span> &lt;&lt; count &lt;&lt; <span class="stringliteral">&quot;th root is : &quot;</span> &lt;&lt; root &lt;&lt; <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="l00093"></a><span class="lineno"> 93</span>&#160; }</div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>&#160; <span class="keywordflow">else</span>{</div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Your &quot;</span>&lt;&lt;count&lt;&lt;<span class="stringliteral">&quot;th root is : &quot;</span> &lt;&lt; root &lt;&lt; <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="l00096"></a><span class="lineno"> 96</span>&#160; }</div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>&#160;}</div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>&#160;}</div>
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@@ -346,29 +346,28 @@ Here is the call graph for this function:</div>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>root of the equation in the given interval. </dd></dl>
<div class="fragment"><div class="line"><a name="l00054"></a><span class="lineno"> 54</span>&#160; {</div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>&#160; <span class="keywordtype">float</span> diff = x1-x2;</div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>&#160; <span class="keywordflow">if</span>(diff&lt;0){</div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>&#160; diff= (-1)*diff;</div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>&#160; }</div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>&#160; <span class="keywordflow">if</span>(diff&lt;0.00001){ </div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>&#160; <span class="keywordflow">if</span> (y1&lt;0) {</div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>&#160; y1=-y1;</div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>&#160; }</div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>&#160; <span class="keywordflow">if</span> (y2&lt;0) {</div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>&#160; y2=-y2;</div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>&#160; }</div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>&#160; <span class="keywordflow">if</span> (y1&lt;y2) {</div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>&#160; <span class="keywordflow">return</span> x1;</div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>&#160; }</div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>&#160; <span class="keywordflow">else</span> {</div>
<div class="fragment"><div class="line"><a name="l00055"></a><span class="lineno"> 55</span>&#160; {</div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>&#160; <span class="keywordtype">float</span> diff = x1 - x2;</div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>&#160; <span class="keywordflow">if</span> (diff &lt; 0) {</div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>&#160; diff = (-1) * diff;</div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>&#160; }</div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>&#160; <span class="keywordflow">if</span> (diff &lt; 0.00001) {</div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>&#160; <span class="keywordflow">if</span> (y1 &lt; 0) {</div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>&#160; y1 = -y1;</div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>&#160; }</div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>&#160; <span class="keywordflow">if</span> (y2 &lt; 0) {</div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>&#160; y2 = -y2;</div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>&#160; }</div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>&#160; <span class="keywordflow">if</span> (y1 &lt; y2) {</div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>&#160; <span class="keywordflow">return</span> x1;</div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>&#160; } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>&#160; <span class="keywordflow">return</span> x2;</div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>&#160; }</div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>&#160; }</div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>&#160; <span class="keywordtype">float</span> x3=0,y3=0;</div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>&#160; x3 = x1 - (x1-x2)*(y1)/(y1-y2);</div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>&#160; <span class="keywordtype">float</span> x3 = 0, y3 = 0;</div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>&#160; x3 = x1 - (x1 - x2) * (y1) / (y1 - y2);</div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>&#160; y3 = <a class="code" href="../../dd/d29/false__position_8cpp.html#a85a6ec58b5064d63d4f0df3854496713">eq</a>(x3);</div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>&#160; <span class="keywordflow">return</span> <a class="code" href="../../dd/d29/false__position_8cpp.html#a7d69b49dc37da1c02b3ab8c7fe783494">regula_falsi</a>(x2,x3,y2,y3);</div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>&#160; <span class="keywordflow">return</span> <a class="code" href="../../dd/d29/false__position_8cpp.html#a7d69b49dc37da1c02b3ab8c7fe783494">regula_falsi</a>(x2, x3, y2, y3);</div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>&#160;}</div>
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@@ -381,7 +380,7 @@ Here is the call graph for this function:</div>
</div>
</div><!-- contents -->
</div><!-- doc-content -->
<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>
<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>
<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>
<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="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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@@ -118,17 +118,13 @@ Functions</h2></td></tr>
</table>
<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p>for <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html" title="STL class.">std::vector</a> </p>
<p>for assert</p>
<p>Mathematical algorithms.</p>
<p>for <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a> and <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a></p>
<p>for io operations</p>
<p>for assert for <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a> and <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a></p>
<p>Mathematical algorithms</p>
<p>for <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a> and <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> for assert</p>
<p>Mathematical algorithms</p>
<p>for assert</p>
<p>Mathematical algorithms</p>
<p>for io operations for assert</p>
<p>for <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a> and <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a></p>
<p>for assert for io operations</p>
<p>Mathematical algorithms </p>
</div><h2 class="groupheader">Function Documentation</h2>
<a id="ae1ca505751f5a6d3977b86372cfe75ea"></a>
@@ -153,10 +149,10 @@ Functions</h2></td></tr>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>Sum of binomial coefficients of number </dd></dl>
<div class="fragment"><div class="line"><a name="l00025"></a><span class="lineno"> 25</span>&#160; { </div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span>&#160; <span class="comment">// Calculating 2^n </span></div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>&#160; <span class="keywordflow">return</span> (1 &lt;&lt; n); </div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>&#160; }</div>
<div class="fragment"><div class="line"><a name="l00026"></a><span class="lineno"> 26</span>&#160; {</div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>&#160; <span class="comment">// Calculating 2^n</span></div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>&#160; <span class="keywordflow">return</span> (1 &lt;&lt; n);</div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>&#160;}</div>
</div><!-- fragment -->
</div>
</div>
@@ -182,36 +178,35 @@ Functions</h2></td></tr>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>int Sum of LCMs, i.e. ∑LCM(i, num) from i = 1 to num </dd></dl>
<div class="fragment"><div class="line"><a name="l00028"></a><span class="lineno"> 28</span>&#160; {</div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>&#160; </div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>&#160; uint64_t i=0, j=0;</div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector &lt;uint64_t&gt;</a> eulerTotient(num+1);</div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector &lt;uint64_t&gt;</a> sumOfEulerTotient(num+1);</div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>&#160; </div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>&#160; <span class="comment">// storing initial values in eulerTotient vector</span></div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>&#160; <span class="keywordflow">for</span>(i=1; i&lt;=num; i++) {</div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>&#160; eulerTotient[i] = i;</div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>&#160; }</div>
<div class="fragment"><div class="line"><a name="l00029"></a><span class="lineno"> 29</span>&#160; {</div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>&#160; uint64_t i = 0, j = 0;</div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;uint64_t&gt;</a> eulerTotient(num + 1);</div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;uint64_t&gt;</a> sumOfEulerTotient(num + 1);</div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>&#160; </div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>&#160; <span class="comment">// storing initial values in eulerTotient vector</span></div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>&#160; <span class="keywordflow">for</span> (i = 1; i &lt;= num; i++) {</div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>&#160; eulerTotient[i] = i;</div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>&#160; }</div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>&#160; </div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>&#160; <span class="comment">// applying totient sieve </span></div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>&#160; <span class="keywordflow">for</span>(i=2; i&lt;=num; i++) {</div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>&#160; <span class="keywordflow">if</span>(eulerTotient[i] == i) {</div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>&#160; <span class="keywordflow">for</span>(j=i; j&lt;=num; j+=i) {</div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>&#160; eulerTotient[j] = eulerTotient[j]/i;</div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>&#160; eulerTotient[j] = eulerTotient[j]*(i-1);</div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>&#160; }</div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>&#160; }</div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>&#160; }</div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>&#160; <span class="comment">// applying totient sieve</span></div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>&#160; <span class="keywordflow">for</span> (i = 2; i &lt;= num; i++) {</div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>&#160; <span class="keywordflow">if</span> (eulerTotient[i] == i) {</div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>&#160; <span class="keywordflow">for</span> (j = i; j &lt;= num; j += i) {</div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>&#160; eulerTotient[j] = eulerTotient[j] / i;</div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>&#160; eulerTotient[j] = eulerTotient[j] * (i - 1);</div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>&#160; }</div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>&#160; }</div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>&#160; }</div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>&#160; </div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>&#160; <span class="comment">// computing sum of euler totients</span></div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>&#160; <span class="keywordflow">for</span>(i=1; i&lt;=num; i++) {</div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>&#160; <span class="keywordflow">for</span>(j=i; j &lt;=num; j+=i) {</div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>&#160; sumOfEulerTotient[j] += eulerTotient[i]*i;</div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>&#160; }</div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>&#160; }</div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>&#160; </div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>&#160; <span class="keywordflow">return</span> ((sumOfEulerTotient[num] + 1 ) * num) / 2;</div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>&#160; }</div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>&#160; <span class="comment">// computing sum of euler totients</span></div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>&#160; <span class="keywordflow">for</span> (i = 1; i &lt;= num; i++) {</div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>&#160; <span class="keywordflow">for</span> (j = i; j &lt;= num; j += i) {</div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>&#160; sumOfEulerTotient[j] += eulerTotient[i] * i;</div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>&#160; }</div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>&#160; }</div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>&#160; </div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>&#160; <span class="keywordflow">return</span> ((sumOfEulerTotient[num] + 1) * num) / 2;</div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>&#160;}</div>
</div><!-- fragment -->
</div>
</div>
@@ -296,16 +291,17 @@ template&lt;class T &gt; </div>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>ans \( \binom{n}{r} \) </dd></dl>
<div class="fragment"><div class="line"><a name="l00033"></a><span class="lineno"> 33</span>&#160; {</div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>&#160; <span class="keywordflow">if</span>(r &gt; n / 2)</div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>&#160; r = n - r; <span class="comment">// Because of the fact that nCr(n, r) == nCr(n, n - r)</span></div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>&#160; T <a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#ad8389ed58fd0ec66df248014775ad1fa">ans</a> = 1;</div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>&#160; <span class="keywordflow">for</span>(<span class="keywordtype">int</span> i = 1; i &lt;= r; i++) {</div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>&#160; <a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#ad8389ed58fd0ec66df248014775ad1fa">ans</a> *= n - r + i;</div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>&#160; <a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#ad8389ed58fd0ec66df248014775ad1fa">ans</a> /= i;</div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>&#160; }</div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>&#160; <span class="keywordflow">return</span> <a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#ad8389ed58fd0ec66df248014775ad1fa">ans</a>;</div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>&#160;}</div>
<div class="fragment"><div class="line"><a name="l00035"></a><span class="lineno"> 35</span>&#160; {</div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>&#160; <span class="keywordflow">if</span> (r &gt; n / 2) {</div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>&#160; r = n - r; <span class="comment">// Because of the fact that nCr(n, r) == nCr(n, n - r)</span></div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>&#160; }</div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>&#160; T <a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#ad8389ed58fd0ec66df248014775ad1fa">ans</a> = 1;</div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 1; i &lt;= r; i++) {</div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>&#160; <a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#ad8389ed58fd0ec66df248014775ad1fa">ans</a> *= n - r + i;</div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>&#160; <a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#ad8389ed58fd0ec66df248014775ad1fa">ans</a> /= i;</div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>&#160; }</div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>&#160; <span class="keywordflow">return</span> <a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#ad8389ed58fd0ec66df248014775ad1fa">ans</a>;</div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>&#160;}</div>
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@@ -391,9 +387,9 @@ Here is the call graph for this function:</div>
</div>
</div><!-- contents -->
</div><!-- doc-content -->
<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>
<div class="ttc" id="avector_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt; uint64_t &gt;</a></div></div>
<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>
<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>
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<div class="line"><span class="preprocessor">#include &lt;algorithm&gt;</span></div>
<div class="line"><span class="preprocessor">#include &lt;cassert&gt;</span></div>
<div class="line"><span class="preprocessor">#include &lt;ctime&gt;</span></div>
<div class="line"><span class="preprocessor">#include &lt;iostream&gt;</span> <span class="comment">/// for io operations</span></div>
<div class="line"><span class="comment"></span><span class="preprocessor">#include &lt;vector&gt;</span></div>
<div class="line"><span class="comment"></span> </div>
<div class="line"><span class="comment">/**</span></div>
<div class="line"><span class="comment"> * @namespace sorting</span></div>
<div class="line"><span class="comment"> * @brief Sorting algorithms</span></div>
<div class="line"><span class="comment"> */</span></div>
<div class="line"><span class="keyword">namespace </span><a class="code" href="../../d5/d91/namespacesorting.html">sorting</a> {<span class="comment"></span></div>
<div class="line"><span class="comment"> /**</span></div>
<div class="line"><span class="comment"> * @namespace wiggle_sort</span></div>
<div class="line"><span class="comment"> * @brief Functions for [Wiggle Sort](https://leetcode.com/problems/wiggle-sort-ii/) algorithm</span></div>
<div class="line"><span class="comment"> */</span></div>
<div class="line"> <span class="keyword">namespace </span><a class="code" href="../../d0/d52/namespacewiggle__sort.html">wiggle_sort</a> {</div>
<div class="line"><span class="comment">/**</span></div>
<div class="line"><span class="comment"> * @namespace wiggle_sort</span></div>
<div class="line"><span class="comment"> * @brief Functions for [Wiggle</span></div>
<div class="line"><span class="comment"> * Sort](https://leetcode.com/problems/wiggle-sort-ii/) algorithm</span></div>
<div class="line"><span class="comment"> */</span></div>
<div class="line"><span class="keyword">namespace </span><a class="code" href="../../d0/d52/namespacewiggle__sort.html">wiggle_sort</a> {</div>
<div class="line"><span class="comment"></span> </div>
<div class="line"><span class="comment"> /**</span></div>
<div class="line"><span class="comment"> *</span></div>
<div class="line"><span class="comment"> * @brief Function used for sorting the elements in wave form.</span></div>
<div class="line"><span class="comment"> * @details</span></div>
<div class="line"><span class="comment"> * Checking whether the even indexed elements are greater than</span></div>
<div class="line"><span class="comment"> * their adjacent odd elements.</span></div>
<div class="line"><span class="comment"> * Traversing all even indexed elements of the input arr.</span></div>
<div class="line"><span class="comment"> * If current element is smaller than the previous odd element, swap them.</span></div>
<div class="line"><span class="comment"> * If current element is smaller than the next odd element, swap them.</span></div>
<div class="line"><span class="comment"> *</span></div>
<div class="line"><span class="comment"> * @param arr input array (unsorted elements)</span></div>
<div class="line"><span class="comment"> *</span></div>
<div class="line"><span class="comment"> */</span></div>
<div class="line"> <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T&gt; <span class="comment">// this allows to have vectors of ints, double, float, etc</span></div>
<div class="line"> <a name="_a0"></a><a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;T&gt;</a> <a name="a1"></a><a class="code" href="../../d1/dcc/wiggle__sort_8cpp.html#a52955ecf8669ff6c5b9b1e66bd7db41d">wiggleSort</a>(<span class="keyword">const</span> <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;T&gt;</a>&amp; arr) {</div>
<div class="line"><span class="comment">/**</span></div>
<div class="line"><span class="comment"> *</span></div>
<div class="line"><span class="comment"> * @brief Function used for sorting the elements in wave form.</span></div>
<div class="line"><span class="comment"> * @details</span></div>
<div class="line"><span class="comment"> * Checking whether the even indexed elements are greater than</span></div>
<div class="line"><span class="comment"> * their adjacent odd elements.</span></div>
<div class="line"><span class="comment"> * Traversing all even indexed elements of the input arr.</span></div>
<div class="line"><span class="comment"> * If current element is smaller than the previous odd element, swap them.</span></div>
<div class="line"><span class="comment"> * If current element is smaller than the next odd element, swap them.</span></div>
<div class="line"><span class="comment"> *</span></div>
<div class="line"><span class="comment"> * @param arr input array (unsorted elements)</span></div>
<div class="line"><span class="comment"> *</span></div>
<div class="line"><span class="comment"> */</span></div>
<div class="line"><span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt; <span class="comment">// this allows to have vectors of ints, double, float,</span></div>
<div class="line"> <span class="comment">// etc</span></div>
<div class="line"> <a name="_a0"></a><a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;T&gt;</a> <a name="a1"></a><a class="code" href="../../d1/dcc/wiggle__sort_8cpp.html#a52955ecf8669ff6c5b9b1e66bd7db41d">wiggleSort</a>(<span class="keyword">const</span> <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;T&gt;</a> &amp;arr) {</div>
<div class="line"> uint32_t size = arr.<a name="a2"></a><a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>();</div>
<div class="line"> </div>
<div class="line"> uint32_t size = arr.<a name="a2"></a><a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>();</div>
<div class="line"> </div>
<div class="line"> <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;T&gt;</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"> </div>
<div class="line"> <span class="keywordflow">for</span>(<span class="keywordtype">int</span> i = 0; i &lt; size ; i +=2) {</div>
<div class="line"> </div>
<div class="line"> <span class="keywordflow">if</span>(i &gt; 0 &amp;&amp; out[i-1] &gt; out[i]) {</div>
<div class="line"> <a name="a3"></a><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"> }</div>
<div class="line"> </div>
<div class="line"> <span class="keywordflow">if</span>(i &lt; size - 1 &amp;&amp; out[i] &lt; out[i+1]) {</div>
<div class="line"> <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"> }</div>
<div class="line"> </div>
<div class="line"> }</div>
<div class="line"> </div>
<div class="line"> <span class="keywordflow">return</span> out; <span class="comment">//returns the sorted vector</span></div>
<div class="line"> <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;T&gt;</a> out(</div>
<div class="line"> arr); <span class="comment">// create a copy of input vector. this way, the original input</span></div>
<div class="line"> <span class="comment">// vector does not get modified. a sorted array is is returned.</span></div>
<div class="line"> </div>
<div class="line"> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; size; i += 2) {</div>
<div class="line"> <span class="keywordflow">if</span> (i &gt; 0 &amp;&amp; out[i - 1] &gt; out[i]) {</div>
<div class="line"> <a name="a3"></a><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"> }</div>
<div class="line"> } <span class="comment">// namespace wiggle_sort</span></div>
<div class="line">} <span class="comment">// namespace sorting</span></div>
<div class="line"> </div>
<div class="line"> <span class="keywordflow">if</span> (i &lt; size - 1 &amp;&amp; out[i] &lt; out[i + 1]) {</div>
<div class="line"> <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"> }</div>
<div class="line"> }</div>
<div class="line"> </div>
<div class="line"> <span class="keywordflow">return</span> out; <span class="comment">// returns the sorted vector</span></div>
<div class="line">}</div>
<div class="line">} <span class="comment">// namespace wiggle_sort</span></div>
<div class="line">} <span class="comment">// namespace sorting</span></div>
<div class="line"><span class="comment"></span> </div>
<div class="line"><span class="comment">/**</span></div>
<div class="line"><span class="comment"> *</span></div>
<div class="line"><span class="comment"> * @brief Utility function used for printing the elements.</span></div>
<div class="line"><span class="comment"> * Prints elements of the array after they&#39;re sorted using wiggle sort algorithm.</span></div>
<div class="line"><span class="comment"> * Prints elements of the array after they&#39;re sorted using wiggle sort</span></div>
<div class="line"><span class="comment"> * algorithm.</span></div>
<div class="line"><span class="comment"> *</span></div>
<div class="line"><span class="comment"> * @param arr array containing the sorted elements</span></div>
<div class="line"><span class="comment"> *</span></div>
<div class="line"><span class="comment"> */</span></div>
<div class="line"><span class="keyword">template</span>&lt;<span class="keyword">typename</span> T&gt;</div>
<div class="line"><span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
<div class="line"><span class="keyword">static</span> <span class="keywordtype">void</span> <a name="a4"></a><a class="code" href="../../d5/d4c/group__sorting.html#ga135e4c638e3bcf548bd122b5f49a3e72">displayElements</a>(<span class="keyword">const</span> <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;T&gt;</a> &amp;arr) {</div>
<div class="line"> </div>
<div class="line"> 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"> </div>
<div class="line"> <a name="_a5"></a><a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Sorted elements are as follows: &quot;</span>;</div>
<div class="line"> </div>
<div class="line"> <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;[&quot;</span>;</div>
<div class="line"> </div>
<div class="line"> <span class="keywordflow">for</span>(<span class="keywordtype">int</span> i = 0 ; i &lt; size ; i++ ) {</div>
<div class="line"> </div>
<div class="line"> <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; arr[i] ;</div>
<div class="line"> <span class="keywordflow">if</span>(i != size - 1) {</div>
<div class="line"> <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;, &quot;</span> ;</div>
<div class="line"> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; size; i++) {</div>
<div class="line"> <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; arr[i];</div>
<div class="line"> <span class="keywordflow">if</span> (i != size - 1) {</div>
<div class="line"> <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;, &quot;</span>;</div>
<div class="line"> }</div>
<div class="line"> </div>
<div class="line"> }</div>
<div class="line"> </div>
<div class="line"> <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;]&quot;</span>&lt;&lt;<a name="a6"></a><a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"> </div>
<div class="line"> <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;]&quot;</span> &lt;&lt; <a name="a6"></a><a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line">}</div>
<div class="line"><span class="comment"></span> </div>
<div class="line"><span class="comment">/**</span></div>
@@ -204,11 +201,10 @@ $(document).ready(function(){initNavTree('dd/db0/_2_users_2runner_2work_2_c-_plu
<div class="line"><span class="comment"> * @returns void</span></div>
<div class="line"><span class="comment"> */</span></div>
<div class="line"><span class="keyword">static</span> <span class="keywordtype">void</span> <a name="a7"></a><a class="code" href="../../dc/d5a/rat__maze_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>() {</div>
<div class="line"> </div>
<div class="line"> <a name="a8"></a><a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/random/srand.html">std::srand</a>(<a name="a9"></a><a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/chrono/c/time.html">std::time</a>(<span class="keyword">nullptr</span>)); <span class="comment">// initialize random number generator</span></div>
<div class="line"> <a name="a8"></a><a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/random/srand.html">std::srand</a>(<a name="a9"></a><a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/chrono/c/time.html">std::time</a>(<span class="keyword">nullptr</span>)); <span class="comment">// initialize random number generator</span></div>
<div class="line"> </div>
<div class="line"> <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;float&gt;</a> data1(100);</div>
<div class="line"> <span class="keywordflow">for</span> (<span class="keyword">auto</span> &amp;d: data1) { <span class="comment">// generate random numbers between -5.0 and 4.99</span></div>
<div class="line"> <span class="keywordflow">for</span> (<span class="keyword">auto</span> &amp;d : data1) { <span class="comment">// generate random numbers between -5.0 and 4.99</span></div>
<div class="line"> d = float(<a name="a10"></a><a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/random/rand.html">std::rand</a>() % 1000 - 500) / 100.f;</div>
<div class="line"> }</div>
<div class="line"> </div>
@@ -216,12 +212,12 @@ $(document).ready(function(){initNavTree('dd/db0/_2_users_2runner_2work_2_c-_plu
<div class="line"> </div>
<div class="line"> <a class="code" href="../../d5/d4c/group__sorting.html#ga135e4c638e3bcf548bd122b5f49a3e72">displayElements</a>(sorted);</div>
<div class="line"> </div>
<div class="line"> <span class="keywordflow">for</span>(uint32_t j = 0; j &lt; data1.size(); j+=2) {</div>
<div class="line"> assert(data1[j] &lt;= data1[j+1] &amp;&amp; data1[j+1] &gt;= data1[j+2]); <span class="comment">// check the validation condition</span></div>
<div class="line"> <span class="keywordflow">for</span> (uint32_t j = 0; j &lt; data1.size(); j += 2) {</div>
<div class="line"> assert(data1[j] &lt;= data1[j + 1] &amp;&amp;</div>
<div class="line"> data1[j + 1] &gt;= data1[j + 2]); <span class="comment">// check the validation condition</span></div>
<div class="line"> }</div>
<div class="line"> </div>
<div class="line"> <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Test 1 passed\n&quot;</span>;</div>
<div class="line"> </div>
<div class="line">}</div>
<div class="line"><span class="comment"></span> </div>
<div class="line"><span class="comment">/** Driver Code */</span></div>
@@ -240,8 +236,8 @@ $(document).ready(function(){initNavTree('dd/db0/_2_users_2runner_2work_2_c-_plu
<div class="ttc" id="anamespacesorting_html"><div class="ttname"><a href="../../d5/d91/namespacesorting.html">sorting</a></div><div class="ttdoc">Sorting algorithms.</div></div>
<div class="ttc" id="agraph__coloring_8cpp_html_gae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../d3/d40/graph__coloring_8cpp.html#gae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdef"><b>Definition:</b> graph_coloring.cpp:96</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="agroup__sorting_html_ga135e4c638e3bcf548bd122b5f49a3e72"><div class="ttname"><a href="../../d5/d4c/group__sorting.html#ga135e4c638e3bcf548bd122b5f49a3e72">displayElements</a></div><div class="ttdeci">static void displayElements(const std::vector&lt; T &gt; &amp;arr)</div><div class="ttdoc">Utility function used for printing the elements. Prints elements of the array after they're sorted us...</div><div class="ttdef"><b>Definition:</b> wiggle_sort.cpp:84</div></div>
<div class="ttc" id="awiggle__sort_8cpp_html_a52955ecf8669ff6c5b9b1e66bd7db41d"><div class="ttname"><a href="../../d1/dcc/wiggle__sort_8cpp.html#a52955ecf8669ff6c5b9b1e66bd7db41d">sorting::wiggle_sort::wiggleSort</a></div><div class="ttdeci">std::vector&lt; T &gt; wiggleSort(const std::vector&lt; T &gt; &amp;arr)</div><div class="ttdoc">Function used for sorting the elements in wave form.</div><div class="ttdef"><b>Definition:</b> wiggle_sort.cpp:51</div></div>
<div class="ttc" id="agroup__sorting_html_ga135e4c638e3bcf548bd122b5f49a3e72"><div class="ttname"><a href="../../d5/d4c/group__sorting.html#ga135e4c638e3bcf548bd122b5f49a3e72">displayElements</a></div><div class="ttdeci">static void displayElements(const std::vector&lt; T &gt; &amp;arr)</div><div class="ttdoc">Utility function used for printing the elements. Prints elements of the array after they're sorted us...</div><div class="ttdef"><b>Definition:</b> wiggle_sort.cpp:85</div></div>
<div class="ttc" id="awiggle__sort_8cpp_html_a52955ecf8669ff6c5b9b1e66bd7db41d"><div class="ttname"><a href="../../d1/dcc/wiggle__sort_8cpp.html#a52955ecf8669ff6c5b9b1e66bd7db41d">sorting::wiggle_sort::wiggleSort</a></div><div class="ttdeci">std::vector&lt; T &gt; wiggleSort(const std::vector&lt; T &gt; &amp;arr)</div><div class="ttdoc">Function used for sorting the elements in wave form.</div><div class="ttdef"><b>Definition:</b> wiggle_sort.cpp:53</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>
<div class="ttc" id="aswap_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/algorithm/swap.html">std::swap</a></div><div class="ttdeci">T swap(T... args)</div></div>
<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>