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<div class="headertitle"><div class="title">Sorting Algorithm </div></div>
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Files</h2></td></tr>
<tr class="memitem:merge_5Fsort_2Ecpp" id="r_merge_5Fsort_2Ecpp"><td class="memItemLeft" align="right" valign="top">file &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d5/df4/merge__sort_8cpp.html">merge_sort.cpp</a></td></tr>
<tr class="memdesc:d5/df4/merge__sort_8cpp"><td class="mdescLeft">&#160;</td><td class="mdescRight"><a href="https://en.wikipedia.org/wiki/Merge_sort" target="_blank">Merge Sort Algorithm (MERGE SORT)</a> implementation <br /></td></tr>
<tr class="memitem:wiggle_5Fsort_2Ecpp" id="r_wiggle_5Fsort_2Ecpp"><td class="memItemLeft" align="right" valign="top">file &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d1/dcc/wiggle__sort_8cpp.html">wiggle_sort.cpp</a></td></tr>
<tr class="memdesc:d1/dcc/wiggle__sort_8cpp"><td class="mdescLeft">&#160;</td><td class="mdescRight">[Wiggle Sort Algorithm] (<a href="https://leetcode.com/problems/wiggle-sort-ii/">https://leetcode.com/problems/wiggle-sort-ii/</a>) Implementation <br /></td></tr>
</table><table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 id="header-namespaces" class="groupheader"><a id="namespaces" name="namespaces"></a>
Namespaces</h2></td></tr>
<tr class="memitem:sorting" id="r_sorting"><td class="memItemLeft" align="right" valign="top">namespace &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d5/d91/namespacesorting.html">sorting</a></td></tr>
<tr class="memdesc:d5/d91/namespacesorting"><td class="mdescLeft">&#160;</td><td class="mdescRight">for working with vectors <br /></td></tr>
</table><table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 id="header-func-members" class="groupheader"><a id="func-members" name="func-members"></a>
Functions</h2></td></tr>
<tr class="memitem:gabd9a93f241c5c86f2ec0abf8b66b4145" id="r_gabd9a93f241c5c86f2ec0abf8b66b4145"><td class="memTemplParams" colspan="2">template&lt;typename T&gt; </td></tr>
<tr class="memitem:gabd9a93f241c5c86f2ec0abf8b66b4145 template"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#gabd9a93f241c5c86f2ec0abf8b66b4145">heapify</a> (T *arr, int n, int i)</td></tr>
<tr class="memitem:ga29d28b140174dbdde7c9f5157758435f" id="r_ga29d28b140174dbdde7c9f5157758435f"><td class="memTemplParams" colspan="2">template&lt;typename T&gt; </td></tr>
<tr class="memitem:ga29d28b140174dbdde7c9f5157758435f template"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#ga29d28b140174dbdde7c9f5157758435f">heapSort</a> (T *arr, int n)</td></tr>
<tr class="memitem:ga460c61cd948203b4816bef2accb3fc73" id="r_ga460c61cd948203b4816bef2accb3fc73"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#ga460c61cd948203b4816bef2accb3fc73">merge</a> (int *arr, int l, int m, int r)</td></tr>
<tr class="memitem:gab6b14fea48d9841e29b9fc26be6e05d7" id="r_gab6b14fea48d9841e29b9fc26be6e05d7"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#gab6b14fea48d9841e29b9fc26be6e05d7">mergeSort</a> (int *arr, int l, int r)</td></tr>
<tr class="memitem:ga0a9a57a1f1bbba3d4822531d002b7e07" id="r_ga0a9a57a1f1bbba3d4822531d002b7e07"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#ga0a9a57a1f1bbba3d4822531d002b7e07">show</a> (int *arr, int size)</td></tr>
<tr class="memitem:gae66f6b31b5ad750f1fe042a706a4e3d4" id="r_gae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#gae66f6b31b5ad750f1fe042a706a4e3d4">main</a> ()</td></tr>
<tr class="memitem:ga135e4c638e3bcf548bd122b5f49a3e72" id="r_ga135e4c638e3bcf548bd122b5f49a3e72"><td class="memTemplParams" colspan="2">template&lt;typename T&gt; </td></tr>
<tr class="memitem:ga135e4c638e3bcf548bd122b5f49a3e72 template"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#ga135e4c638e3bcf548bd122b5f49a3e72">displayElements</a> (const std::vector&lt; T &gt; &amp;arr)</td></tr>
<tr class="memdesc:ga135e4c638e3bcf548bd122b5f49a3e72"><td class="mdescLeft">&#160;</td><td class="mdescRight">Utility function used for printing the elements. Prints elements of the array after they're sorted using wiggle sort algorithm. <br /></td></tr>
<tr class="memitem:gaa8dca7b867074164d5f45b0f3851269d" id="r_gaa8dca7b867074164d5f45b0f3851269d"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#gaa8dca7b867074164d5f45b0f3851269d">test</a> ()</td></tr>
</table>
<a name="details" id="details"></a><h2 id="header-details" class="groupheader">Detailed Description</h2>
<p>The heapify procedure can be thought of as building a heap from the bottom up by successively sifting downward to establish the heap property.</p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">arr</td><td>array to be sorted </td></tr>
<tr><td class="paramname">n</td><td>size of array </td></tr>
<tr><td class="paramname">i</td><td>node position in Binary Tress or element position in Array to be compared with it's childern</td></tr>
</table>
</dd>
</dl>
<a name="doc-func-members" id="doc-func-members"></a><h2 id="header-doc-func-members" class="groupheader">Function Documentation</h2>
<a id="ga135e4c638e3bcf548bd122b5f49a3e72" name="ga135e4c638e3bcf548bd122b5f49a3e72"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ga135e4c638e3bcf548bd122b5f49a3e72">&#9670;&#160;</a></span>displayElements()</h2>
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<div class="memtemplate">
template&lt;typename T&gt; </div>
<table class="mlabels">
<tr>
<td class="mlabels-left">
<table class="memname">
<tr>
<td class="memname">void displayElements </td>
<td>(</td>
<td class="paramtype">const std::vector&lt; T &gt; &amp;</td> <td class="paramname"><span class="paramname"><em>arr</em></span></td><td>)</td>
<td></td>
</tr>
</table>
</td>
<td class="mlabels-right">
<span class="mlabels"><span class="mlabel static">static</span></span> </td>
</tr>
</table>
</div><div class="memdoc">
<p>Utility function used for printing the elements. Prints elements of the array after they're sorted using wiggle sort algorithm. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">arr</td><td>array containing the sorted elements </td></tr>
</table>
</dd>
</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>
<p class="definition">Definition at line <a class="el" href="../../d1/dcc/wiggle__sort_8cpp_source.html#l00086">86</a> of file <a class="el" href="../../d1/dcc/wiggle__sort_8cpp_source.html">wiggle_sort.cpp</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 86</span> {</div>
<div class="line"><span class="lineno"> 87</span> uint32_t size = arr.size();</div>
<div class="line"><span class="lineno"> 88</span> </div>
<div class="line"><span class="lineno"> 89</span> std::cout &lt;&lt; <span class="stringliteral">&quot;Sorted elements are as follows: &quot;</span>;</div>
<div class="line"><span class="lineno"> 90</span> </div>
<div class="line"><span class="lineno"> 91</span> std::cout &lt;&lt; <span class="stringliteral">&quot;[&quot;</span>;</div>
<div class="line"><span class="lineno"> 92</span> </div>
<div class="line"><span class="lineno"> 93</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; size; i++) {</div>
<div class="line"><span class="lineno"> 94</span> std::cout &lt;&lt; arr[i];</div>
<div class="line"><span class="lineno"> 95</span> <span class="keywordflow">if</span> (i != size - 1) {</div>
<div class="line"><span class="lineno"> 96</span> std::cout &lt;&lt; <span class="stringliteral">&quot;, &quot;</span>;</div>
<div class="line"><span class="lineno"> 97</span> }</div>
<div class="line"><span class="lineno"> 98</span> }</div>
<div class="line"><span class="lineno"> 99</span> </div>
<div class="line"><span class="lineno"> 100</span> std::cout &lt;&lt; <span class="stringliteral">&quot;]&quot;</span> &lt;&lt; std::endl;</div>
<div class="line"><span class="lineno"> 101</span>}</div>
</div><!-- fragment -->
</div>
</div>
<a id="gabd9a93f241c5c86f2ec0abf8b66b4145" name="gabd9a93f241c5c86f2ec0abf8b66b4145"></a>
<h2 class="memtitle"><span class="permalink"><a href="#gabd9a93f241c5c86f2ec0abf8b66b4145">&#9670;&#160;</a></span>heapify()</h2>
<div class="memitem">
<div class="memproto">
<div class="memtemplate">
template&lt;typename T&gt; </div>
<table class="memname">
<tr>
<td class="memname">void heapify </td>
<td>(</td>
<td class="paramtype">T *</td> <td class="paramname"><span class="paramname"><em>arr</em></span>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int</td> <td class="paramname"><span class="paramname"><em>n</em></span>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int</td> <td class="paramname"><span class="paramname"><em>i</em></span>&#160;)</td>
</tr>
</table>
</div><div class="memdoc">
<p class="definition">Definition at line <a class="el" href="../../d2/d52/heap__sort_8cpp_source.html#l00058">58</a> of file <a class="el" href="../../d2/d52/heap__sort_8cpp_source.html">heap_sort.cpp</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 58</span> {</div>
<div class="line"><span class="lineno"> 59</span> <span class="keywordtype">int</span> largest = i;</div>
<div class="line"><span class="lineno"> 60</span> <span class="keywordtype">int</span> <a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a6d8df83a6f26ce24a75d3b358b7f5b8a">l</a> = 2 * i + 1;</div>
<div class="line"><span class="lineno"> 61</span> <span class="keywordtype">int</span> r = 2 * i + 2;</div>
<div class="line"><span class="lineno"> 62</span> </div>
<div class="line"><span class="lineno"> 63</span> <span class="keywordflow">if</span> (l &lt; n &amp;&amp; arr[l] &gt; arr[largest])</div>
<div class="line"><span class="lineno"> 64</span> largest = <a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a6d8df83a6f26ce24a75d3b358b7f5b8a">l</a>;</div>
<div class="line"><span class="lineno"> 65</span> </div>
<div class="line"><span class="lineno"> 66</span> <span class="keywordflow">if</span> (r &lt; n &amp;&amp; arr[r] &gt; arr[largest])</div>
<div class="line"><span class="lineno"> 67</span> largest = r;</div>
<div class="line"><span class="lineno"> 68</span> </div>
<div class="line"><span class="lineno"> 69</span> <span class="keywordflow">if</span> (largest != i) {</div>
<div class="line"><span class="lineno"> 70</span> std::swap(arr[i], arr[largest]);</div>
<div class="line"><span class="lineno"> 71</span> heapify(arr, n, largest);</div>
<div class="line"><span class="lineno"> 72</span> }</div>
<div class="line"><span class="lineno"> 73</span>}</div>
<div class="ttc" id="acomposite__simpson__rule_8cpp_html_a6d8df83a6f26ce24a75d3b358b7f5b8a"><div class="ttname"><a href="../../d4/d18/composite__simpson__rule_8cpp.html#a6d8df83a6f26ce24a75d3b358b7f5b8a">numerical_methods::simpson_method::l</a></div><div class="ttdeci">double l(double x)</div><div class="ttdoc">Another test function.</div><div class="ttdef"><b>Definition</b> <a href="../../d4/d18/composite__simpson__rule_8cpp_source.html#l00119">composite_simpson_rule.cpp:119</a></div></div>
</div><!-- fragment -->
</div>
</div>
<a id="ga29d28b140174dbdde7c9f5157758435f" name="ga29d28b140174dbdde7c9f5157758435f"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ga29d28b140174dbdde7c9f5157758435f">&#9670;&#160;</a></span>heapSort()</h2>
<div class="memitem">
<div class="memproto">
<div class="memtemplate">
template&lt;typename T&gt; </div>
<table class="memname">
<tr>
<td class="memname">void heapSort </td>
<td>(</td>
<td class="paramtype">T *</td> <td class="paramname"><span class="paramname"><em>arr</em></span>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int</td> <td class="paramname"><span class="paramname"><em>n</em></span>&#160;)</td>
</tr>
</table>
</div><div class="memdoc">
<p>Utilizes heapify procedure to sort the array</p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">arr</td><td>array to be sorted </td></tr>
<tr><td class="paramname">n</td><td>size of array </td></tr>
</table>
</dd>
</dl>
<p class="definition">Definition at line <a class="el" href="../../d2/d52/heap__sort_8cpp_source.html#l00084">84</a> of file <a class="el" href="../../d2/d52/heap__sort_8cpp_source.html">heap_sort.cpp</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 84</span> {</div>
<div class="line"><span class="lineno"> 85</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = n - 1; i &gt;= 0; i--) heapify(arr, n, i);</div>
<div class="line"><span class="lineno"> 86</span> </div>
<div class="line"><span class="lineno"> 87</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = n - 1; i &gt;= 0; i--) {</div>
<div class="line"><span class="lineno"> 88</span> std::swap(arr[0], arr[i]);</div>
<div class="line"><span class="lineno"> 89</span> heapify(arr, i, 0);</div>
<div class="line"><span class="lineno"> 90</span> }</div>
<div class="line"><span class="lineno"> 91</span>}</div>
</div><!-- fragment -->
</div>
</div>
<a id="gae66f6b31b5ad750f1fe042a706a4e3d4" name="gae66f6b31b5ad750f1fe042a706a4e3d4"></a>
<h2 class="memtitle"><span class="permalink"><a href="#gae66f6b31b5ad750f1fe042a706a4e3d4">&#9670;&#160;</a></span>main()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">int main </td>
<td>(</td>
<td class="paramtype">void</td> <td class="paramname"><span class="paramname"><em></em></span></td><td>)</td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Main function</p>
<p>Driver Code </p>
<p class="definition">Definition at line <a class="el" href="../../d5/df4/merge__sort_8cpp_source.html#l00101">101</a> of file <a class="el" href="../../d5/df4/merge__sort_8cpp_source.html">merge_sort.cpp</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 101</span> {</div>
<div class="line"><span class="lineno"> 102</span> <span class="keywordtype">int</span> size;</div>
<div class="line"><span class="lineno"> 103</span> std::cout &lt;&lt; <span class="stringliteral">&quot;Enter the number of elements: &quot;</span>;</div>
<div class="line"><span class="lineno"> 104</span> std::cin &gt;&gt; size;</div>
<div class="line"><span class="lineno"> 105</span> </div>
<div class="line"><span class="lineno"> 106</span> <span class="keywordflow">if</span> (size &lt;= 0) {</div>
<div class="line"><span class="lineno"> 107</span> std::cout &lt;&lt; <span class="stringliteral">&quot;Invalid size.\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 108</span> <span class="keywordflow">return</span> 1;</div>
<div class="line"><span class="lineno"> 109</span> }</div>
<div class="line"><span class="lineno"> 110</span> </div>
<div class="line"><span class="lineno"> 111</span> <span class="keywordtype">int</span> *arr = <span class="keyword">new</span> <span class="keywordtype">int</span>[size];</div>
<div class="line"><span class="lineno"> 112</span> std::cout &lt;&lt; <span class="stringliteral">&quot;Enter the unsorted elements: &quot;</span>;</div>
<div class="line"><span class="lineno"> 113</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; size; ++i) {</div>
<div class="line"><span class="lineno"> 114</span> std::cin &gt;&gt; arr[i];</div>
<div class="line"><span class="lineno"> 115</span> }</div>
<div class="line"><span class="lineno"> 116</span> </div>
<div class="line"><span class="lineno"> 117</span> <a class="code hl_function" href="#gab6b14fea48d9841e29b9fc26be6e05d7">mergeSort</a>(arr, 0, size - 1);</div>
<div class="line"><span class="lineno"> 118</span> std::cout &lt;&lt; <span class="stringliteral">&quot;Sorted array: &quot;</span>;</div>
<div class="line"><span class="lineno"> 119</span> <a class="code hl_function" href="#ga0a9a57a1f1bbba3d4822531d002b7e07">show</a>(arr, size);</div>
<div class="line"><span class="lineno"> 120</span> <span class="keyword">delete</span>[] arr;</div>
<div class="line"><span class="lineno"> 121</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 122</span>}</div>
<div class="ttc" id="agroup__sorting_html_ga0a9a57a1f1bbba3d4822531d002b7e07"><div class="ttname"><a href="#ga0a9a57a1f1bbba3d4822531d002b7e07">show</a></div><div class="ttdeci">void show(int *arr, int size)</div><div class="ttdef"><b>Definition</b> <a href="../../d5/df4/merge__sort_8cpp_source.html#l00095">merge_sort.cpp:95</a></div></div>
<div class="ttc" id="agroup__sorting_html_gab6b14fea48d9841e29b9fc26be6e05d7"><div class="ttname"><a href="#gab6b14fea48d9841e29b9fc26be6e05d7">mergeSort</a></div><div class="ttdeci">void mergeSort(int *arr, int l, int r)</div><div class="ttdef"><b>Definition</b> <a href="../../d5/df4/merge__sort_8cpp_source.html#l00082">merge_sort.cpp:82</a></div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#ga460c61cd948203b4816bef2accb3fc73">&#9670;&#160;</a></span>merge()</h2>
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<td class="memname">void merge </td>
<td>(</td>
<td class="paramtype">int *</td> <td class="paramname"><span class="paramname"><em>arr</em></span>, </td>
</tr>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">int</td> <td class="paramname"><span class="paramname"><em>l</em></span>, </td>
</tr>
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<td class="paramkey"></td>
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<td class="paramtype">int</td> <td class="paramname"><span class="paramname"><em>m</em></span>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">int</td> <td class="paramname"><span class="paramname"><em>r</em></span>&#160;)</td>
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<p>The <a class="el" href="#ga460c61cd948203b4816bef2accb3fc73">merge()</a> function is used for merging two halves. The merge(arr, l, m, r) is key process that assumes that arr[l..m] and arr[m+1..r] are sorted and merges the two sorted sub-arrays into one.</p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">arr</td><td>- array with two halves arr[l...m] and arr[m+1...r] </td></tr>
<tr><td class="paramname">l</td><td>- left index or start index of first half array </td></tr>
<tr><td class="paramname">m</td><td>- right index or end index of first half array</td></tr>
</table>
</dd>
</dl>
<p>(The second array starts form m+1 and goes till r)</p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">r</td><td>- end index or right index of second half array </td></tr>
</table>
</dd>
</dl>
<p class="definition">Definition at line <a class="el" href="../../d5/df4/merge__sort_8cpp_source.html#l00037">37</a> of file <a class="el" href="../../d5/df4/merge__sort_8cpp_source.html">merge_sort.cpp</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 37</span> {</div>
<div class="line"><span class="lineno"> 38</span> <span class="keywordtype">int</span> n1 = m - <a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a6d8df83a6f26ce24a75d3b358b7f5b8a">l</a> + 1;</div>
<div class="line"><span class="lineno"> 39</span> <span class="keywordtype">int</span> n2 = r - m;</div>
<div class="line"><span class="lineno"> 40</span> </div>
<div class="line"><span class="lineno"> 41</span> std::vector&lt;int&gt; L(n1), R(n2);</div>
<div class="line"><span class="lineno"> 42</span> </div>
<div class="line"><span class="lineno"> 43</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; n1; i++) L[i] = arr[l + i];</div>
<div class="line"><span class="lineno"> 44</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j &lt; n2; j++) R[j] = arr[m + 1 + j];</div>
<div class="line"><span class="lineno"> 45</span> </div>
<div class="line"><span class="lineno"> 46</span> <span class="keywordtype">int</span> i = 0, j = 0, <a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a1b74d828b33760094906797042b89442">k</a> = <a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a6d8df83a6f26ce24a75d3b358b7f5b8a">l</a>;</div>
<div class="line"><span class="lineno"> 47</span> </div>
<div class="line"><span class="lineno"> 48</span> <span class="keywordflow">while</span> (i &lt; n1 &amp;&amp; j &lt; n2) {</div>
<div class="line"><span class="lineno"> 49</span> <span class="keywordflow">if</span> (L[i] &lt;= R[j]) {</div>
<div class="line"><span class="lineno"> 50</span> arr[<a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a1b74d828b33760094906797042b89442">k</a>] = L[i];</div>
<div class="line"><span class="lineno"> 51</span> i++;</div>
<div class="line"><span class="lineno"> 52</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><span class="lineno"> 53</span> arr[<a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a1b74d828b33760094906797042b89442">k</a>] = R[j];</div>
<div class="line"><span class="lineno"> 54</span> j++;</div>
<div class="line"><span class="lineno"> 55</span> }</div>
<div class="line"><span class="lineno"> 56</span> <a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a1b74d828b33760094906797042b89442">k</a>++;</div>
<div class="line"><span class="lineno"> 57</span> }</div>
<div class="line"><span class="lineno"> 58</span> </div>
<div class="line"><span class="lineno"> 59</span> <span class="keywordflow">while</span> (i &lt; n1) {</div>
<div class="line"><span class="lineno"> 60</span> arr[<a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a1b74d828b33760094906797042b89442">k</a>] = L[i];</div>
<div class="line"><span class="lineno"> 61</span> i++;</div>
<div class="line"><span class="lineno"> 62</span> <a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a1b74d828b33760094906797042b89442">k</a>++;</div>
<div class="line"><span class="lineno"> 63</span> }</div>
<div class="line"><span class="lineno"> 64</span> </div>
<div class="line"><span class="lineno"> 65</span> <span class="keywordflow">while</span> (j &lt; n2) {</div>
<div class="line"><span class="lineno"> 66</span> arr[<a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a1b74d828b33760094906797042b89442">k</a>] = R[j];</div>
<div class="line"><span class="lineno"> 67</span> j++;</div>
<div class="line"><span class="lineno"> 68</span> <a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a1b74d828b33760094906797042b89442">k</a>++;</div>
<div class="line"><span class="lineno"> 69</span> }</div>
<div class="line"><span class="lineno"> 70</span>}</div>
<div class="ttc" id="acomposite__simpson__rule_8cpp_html_a1b74d828b33760094906797042b89442"><div class="ttname"><a href="../../d4/d18/composite__simpson__rule_8cpp.html#a1b74d828b33760094906797042b89442">numerical_methods::simpson_method::k</a></div><div class="ttdeci">double k(double x)</div><div class="ttdoc">Another test function.</div><div class="ttdef"><b>Definition</b> <a href="../../d4/d18/composite__simpson__rule_8cpp_source.html#l00117">composite_simpson_rule.cpp:117</a></div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#gab6b14fea48d9841e29b9fc26be6e05d7">&#9670;&#160;</a></span>mergeSort()</h2>
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<td class="memname">void mergeSort </td>
<td>(</td>
<td class="paramtype">int *</td> <td class="paramname"><span class="paramname"><em>arr</em></span>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int</td> <td class="paramname"><span class="paramname"><em>l</em></span>, </td>
</tr>
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<td class="paramtype">int</td> <td class="paramname"><span class="paramname"><em>r</em></span>&#160;)</td>
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<p>Merge sort is a divide and conquer algorithm, it divides the input array into two halves and calls itself for the two halves and then calls <a class="el" href="#ga460c61cd948203b4816bef2accb3fc73">merge()</a> to merge the two halves</p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">arr</td><td>- array to be sorted </td></tr>
<tr><td class="paramname">l</td><td>- left index or start index of array </td></tr>
<tr><td class="paramname">r</td><td>- right index or end index of array </td></tr>
</table>
</dd>
</dl>
<p class="definition">Definition at line <a class="el" href="../../d5/df4/merge__sort_8cpp_source.html#l00082">82</a> of file <a class="el" href="../../d5/df4/merge__sort_8cpp_source.html">merge_sort.cpp</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 82</span> {</div>
<div class="line"><span class="lineno"> 83</span> <span class="keywordflow">if</span> (l &lt; r) {</div>
<div class="line"><span class="lineno"> 84</span> <span class="keywordtype">int</span> m = <a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a6d8df83a6f26ce24a75d3b358b7f5b8a">l</a> + (r - <a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a6d8df83a6f26ce24a75d3b358b7f5b8a">l</a>) / 2;</div>
<div class="line"><span class="lineno"> 85</span> <a class="code hl_function" href="#gab6b14fea48d9841e29b9fc26be6e05d7">mergeSort</a>(arr, l, m);</div>
<div class="line"><span class="lineno"> 86</span> <a class="code hl_function" href="#gab6b14fea48d9841e29b9fc26be6e05d7">mergeSort</a>(arr, m + 1, r);</div>
<div class="line"><span class="lineno"> 87</span> <a class="code hl_function" href="#ga460c61cd948203b4816bef2accb3fc73">merge</a>(arr, l, m, r);</div>
<div class="line"><span class="lineno"> 88</span> }</div>
<div class="line"><span class="lineno"> 89</span>}</div>
<div class="ttc" id="agroup__sorting_html_ga460c61cd948203b4816bef2accb3fc73"><div class="ttname"><a href="#ga460c61cd948203b4816bef2accb3fc73">merge</a></div><div class="ttdeci">void merge(int *arr, int l, int m, int r)</div><div class="ttdef"><b>Definition</b> <a href="../../d5/df4/merge__sort_8cpp_source.html#l00037">merge_sort.cpp:37</a></div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#ga0a9a57a1f1bbba3d4822531d002b7e07">&#9670;&#160;</a></span>show()</h2>
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<td class="memname">void show </td>
<td>(</td>
<td class="paramtype">int *</td> <td class="paramname"><span class="paramname"><em>arr</em></span>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int</td> <td class="paramname"><span class="paramname"><em>size</em></span>&#160;)</td>
</tr>
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<p>Utility function used to print the array after sorting </p>
<p class="definition">Definition at line <a class="el" href="../../d5/df4/merge__sort_8cpp_source.html#l00095">95</a> of file <a class="el" href="../../d5/df4/merge__sort_8cpp_source.html">merge_sort.cpp</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 95</span> {</div>
<div class="line"><span class="lineno"> 96</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; size; i++) std::cout &lt;&lt; arr[i] &lt;&lt; <span class="stringliteral">&quot; &quot;</span>;</div>
<div class="line"><span class="lineno"> 97</span> std::cout &lt;&lt; <span class="stringliteral">&quot;\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 98</span>}</div>
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<h2 class="memtitle"><span class="permalink"><a href="#gaa8dca7b867074164d5f45b0f3851269d">&#9670;&#160;</a></span>test()</h2>
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<td class="memname">void test </td>
<td>(</td>
<td class="paramname"><span class="paramname"><em></em></span></td><td>)</td>
<td></td>
</tr>
</table>
</td>
<td class="mlabels-right">
<span class="mlabels"><span class="mlabel static">static</span></span> </td>
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<p>Test function </p><dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
<p class="definition">Definition at line <a class="el" href="../../d1/dcc/wiggle__sort_8cpp_source.html#l00107">107</a> of file <a class="el" href="../../d1/dcc/wiggle__sort_8cpp_source.html">wiggle_sort.cpp</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 107</span> {</div>
<div class="line"><span class="lineno"> 108</span> std::srand(std::time(<span class="keyword">nullptr</span>)); <span class="comment">// initialize random number generator</span></div>
<div class="line"><span class="lineno"> 109</span> </div>
<div class="line"><span class="lineno"> 110</span> std::vector&lt;float&gt; data1(100);</div>
<div class="line"><span class="lineno"> 111</span> <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="lineno"> 112</span> d = float(std::rand() % 1000 - 500) / 100.f;</div>
<div class="line"><span class="lineno"> 113</span> }</div>
<div class="line"><span class="lineno"> 114</span> </div>
<div class="line"><span class="lineno"> 115</span> std::vector&lt;float&gt; sorted = <a class="code hl_function" href="../../d1/dcc/wiggle__sort_8cpp.html#a99eeded693ac073717282fae365957a1">sorting::wiggle_sort::wiggleSort&lt;float&gt;</a>(data1);</div>
<div class="line"><span class="lineno"> 116</span> </div>
<div class="line"><span class="lineno"> 117</span> <a class="code hl_function" href="#ga135e4c638e3bcf548bd122b5f49a3e72">displayElements</a>(sorted);</div>
<div class="line"><span class="lineno"> 118</span> </div>
<div class="line"><span class="lineno"> 119</span> <span class="keywordflow">for</span> (uint32_t j = 0; j &lt; data1.size(); j += 2) {</div>
<div class="line"><span class="lineno"> 120</span> assert(data1[j] &lt;= data1[j + 1] &amp;&amp;</div>
<div class="line"><span class="lineno"> 121</span> data1[j + 1] &gt;= data1[j + 2]); <span class="comment">// check the validation condition</span></div>
<div class="line"><span class="lineno"> 122</span> }</div>
<div class="line"><span class="lineno"> 123</span> </div>
<div class="line"><span class="lineno"> 124</span> std::cout &lt;&lt; <span class="stringliteral">&quot;Test 1 passed\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 125</span>}</div>
<div class="ttc" id="agroup__sorting_html_ga135e4c638e3bcf548bd122b5f49a3e72"><div class="ttname"><a href="#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&#39;re sorted us...</div><div class="ttdef"><b>Definition</b> <a href="../../d1/dcc/wiggle__sort_8cpp_source.html#l00086">wiggle_sort.cpp:86</a></div></div>
<div class="ttc" id="awiggle__sort_8cpp_html_a99eeded693ac073717282fae365957a1"><div class="ttname"><a href="../../d1/dcc/wiggle__sort_8cpp.html#a99eeded693ac073717282fae365957a1">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> <a href="../../d1/dcc/wiggle__sort_8cpp_source.html#l00054">wiggle_sort.cpp:54</a></div></div>
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