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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:d5/df4/merge__sort_8cpp"><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">Merege Sort Algorithm (MEREGE SORT)</a> implementation <br /></td></tr>
<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:d1/dcc/wiggle__sort_8cpp"><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>
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Namespaces</h2></td></tr>
<tr class="memitem:d5/d91/namespacesorting"><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>
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Functions</h2></td></tr>
<tr class="memitem:gabd9a93f241c5c86f2ec0abf8b66b4145"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
<tr class="memitem:gabd9a93f241c5c86f2ec0abf8b66b4145"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../d5/d4c/group__sorting.html#gabd9a93f241c5c86f2ec0abf8b66b4145">heapify</a> (T *arr, int n, int i)</td></tr>
<tr class="separator:gabd9a93f241c5c86f2ec0abf8b66b4145"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ga29d28b140174dbdde7c9f5157758435f"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
<tr class="memitem:ga29d28b140174dbdde7c9f5157758435f"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../d5/d4c/group__sorting.html#ga29d28b140174dbdde7c9f5157758435f">heapSort</a> (T *arr, int n)</td></tr>
<tr class="separator:ga29d28b140174dbdde7c9f5157758435f"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ga460c61cd948203b4816bef2accb3fc73"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d5/d4c/group__sorting.html#ga460c61cd948203b4816bef2accb3fc73">merge</a> (int *arr, int l, int m, int r)</td></tr>
<tr class="separator:ga460c61cd948203b4816bef2accb3fc73"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:gab6b14fea48d9841e29b9fc26be6e05d7"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d5/d4c/group__sorting.html#gab6b14fea48d9841e29b9fc26be6e05d7">mergeSort</a> (int *arr, int l, int r)</td></tr>
<tr class="separator:gab6b14fea48d9841e29b9fc26be6e05d7"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ga0a9a57a1f1bbba3d4822531d002b7e07"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d5/d4c/group__sorting.html#ga0a9a57a1f1bbba3d4822531d002b7e07">show</a> (int *arr, int size)</td></tr>
<tr class="separator:ga0a9a57a1f1bbba3d4822531d002b7e07"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:gae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d5/d4c/group__sorting.html#gae66f6b31b5ad750f1fe042a706a4e3d4">main</a> ()</td></tr>
<tr class="separator:gae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ga135e4c638e3bcf548bd122b5f49a3e72"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
<tr class="memitem:ga135e4c638e3bcf548bd122b5f49a3e72"><td class="memTemplItemLeft" align="right" valign="top">static void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../d5/d4c/group__sorting.html#ga135e4c638e3bcf548bd122b5f49a3e72">displayElements</a> (const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&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. <a href="../../d5/d4c/group__sorting.html#ga135e4c638e3bcf548bd122b5f49a3e72">More...</a><br /></td></tr>
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<tr class="memitem:gaa8dca7b867074164d5f45b0f3851269d"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d5/d4c/group__sorting.html#gaa8dca7b867074164d5f45b0f3851269d">test</a> ()</td></tr>
<tr class="separator:gaa8dca7b867074164d5f45b0f3851269d"><td class="memSeparator" colspan="2">&#160;</td></tr>
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<a name="details" id="details"></a><h2 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>
<h2 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>
<div class="memitem">
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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">static void displayElements </td>
<td>(</td>
<td class="paramtype">const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; T &gt; &amp;&#160;</td>
<td class="paramname"><em>arr</em></td><td>)</td>
<td></td>
</tr>
</table>
</td>
<td class="mlabels-right">
<span class="mlabels"><span class="mlabel">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#a4">/Users/runner/work/C-Plus-Plus/C-Plus-Plus/sorting/wiggle_sort.cpp</a>.</dd>
</dl>
<div class="fragment"><div class="line"><span class="lineno"> 85</span> {</div>
<div class="line"><span class="lineno"> 86</span> uint32_t size = arr.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>();</div>
<div class="line"><span class="lineno"> 87</span> </div>
<div class="line"><span class="lineno"> 88</span> <a class="code hl_classRef" 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"><span class="lineno"> 89</span> </div>
<div class="line"><span class="lineno"> 90</span> <a class="code hl_classRef" 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="lineno"> 91</span> </div>
<div class="line"><span class="lineno"> 92</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; size; i++) {</div>
<div class="line"><span class="lineno"> 93</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; arr[i];</div>
<div class="line"><span class="lineno"> 94</span> <span class="keywordflow">if</span> (i != size - 1) {</div>
<div class="line"><span class="lineno"> 95</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;, &quot;</span>;</div>
<div class="line"><span class="lineno"> 96</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> <a class="code hl_classRef" 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 class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><span class="lineno"> 100</span>}</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>
<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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<h2 class="memtitle"><span class="permalink"><a href="#gabd9a93f241c5c86f2ec0abf8b66b4145">&#9670;&#160;</a></span>heapify()</h2>
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<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 *&#160;</td>
<td class="paramname"><em>arr</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>n</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>i</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<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> l = 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 = l;</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> <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/swap.html">std::swap</a>(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="aswap_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/algorithm/swap.html">std::swap</a></div><div class="ttdeci">T swap(T... args)</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#ga29d28b140174dbdde7c9f5157758435f">&#9670;&#160;</a></span>heapSort()</h2>
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<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 *&#160;</td>
<td class="paramname"><em>arr</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>n</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></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>
<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> <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/swap.html">std::swap</a>(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>
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<h2 class="memtitle"><span class="permalink"><a href="#gae66f6b31b5ad750f1fe042a706a4e3d4">&#9670;&#160;</a></span>main()</h2>
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<td class="memname">int main </td>
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<td class="paramtype">void&#160;</td>
<td class="paramname"></td><td>)</td>
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<p >Main function</p>
<p >Driver Code </p>
<div class="fragment"><div class="line"><span class="lineno"> 90</span> {</div>
<div class="line"><span class="lineno"> 91</span> <span class="keywordtype">int</span> size;</div>
<div class="line"><span class="lineno"> 92</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Enter the number of elements : &quot;</span>;</div>
<div class="line"><span class="lineno"> 93</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a> &gt;&gt; size;</div>
<div class="line"><span class="lineno"> 94</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"> 95</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Enter the unsorted elements : &quot;</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) {</div>
<div class="line"><span class="lineno"> 97</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a> &gt;&gt; arr[i];</div>
<div class="line"><span class="lineno"> 98</span> }</div>
<div class="line"><span class="lineno"> 99</span> <a class="code hl_function" href="../../d5/d4c/group__sorting.html#gab6b14fea48d9841e29b9fc26be6e05d7">mergeSort</a>(arr, 0, size - 1);</div>
<div class="line"><span class="lineno"> 100</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Sorted array : &quot;</span>;</div>
<div class="line"><span class="lineno"> 101</span> show(arr, size);</div>
<div class="line"><span class="lineno"> 102</span> <span class="keyword">delete</span>[] arr;</div>
<div class="line"><span class="lineno"> 103</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 104</span>}</div>
<div class="ttc" id="abasic_istream_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a></div></div>
<div class="ttc" id="agroup__sorting_html_gab6b14fea48d9841e29b9fc26be6e05d7"><div class="ttname"><a href="../../d5/d4c/group__sorting.html#gab6b14fea48d9841e29b9fc26be6e05d7">mergeSort</a></div><div class="ttdeci">void mergeSort(int *arr, int l, int r)</div><div class="ttdef"><b>Definition:</b> merge_sort.cpp:71</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 *&#160;</td>
<td class="paramname"><em>arr</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>l</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>m</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>r</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
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<p >The <a class="el" href="../../d5/d4c/group__sorting.html#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...l] </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 l)</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>
<div class="fragment"><div class="line"><span class="lineno"> 33</span> {</div>
<div class="line"><span class="lineno"> 34</span> <span class="keywordtype">int</span> i, j, k;</div>
<div class="line"><span class="lineno"> 35</span> <span class="keywordtype">int</span> n1 = m - l + 1;</div>
<div class="line"><span class="lineno"> 36</span> <span class="keywordtype">int</span> n2 = r - m;</div>
<div class="line"><span class="lineno"> 37</span> </div>
<div class="line"><span class="lineno"> 38</span> <span class="keywordtype">int</span> *L = <span class="keyword">new</span> <span class="keywordtype">int</span>[n1], *R = <span class="keyword">new</span> <span class="keywordtype">int</span>[n2];</div>
<div class="line"><span class="lineno"> 39</span> </div>
<div class="line"><span class="lineno"> 40</span> <span class="keywordflow">for</span> (i = 0; i &lt; n1; i++) L[i] = arr[l + i];</div>
<div class="line"><span class="lineno"> 41</span> <span class="keywordflow">for</span> (j = 0; j &lt; n2; j++) R[j] = arr[m + 1 + j];</div>
<div class="line"><span class="lineno"> 42</span> </div>
<div class="line"><span class="lineno"> 43</span> i = 0;</div>
<div class="line"><span class="lineno"> 44</span> j = 0;</div>
<div class="line"><span class="lineno"> 45</span> k = l;</div>
<div class="line"><span class="lineno"> 46</span> <span class="keywordflow">while</span> (i &lt; n1 || j &lt; n2) {</div>
<div class="line"><span class="lineno"> 47</span> <span class="keywordflow">if</span> (j &gt;= n2 || (i &lt; n1 &amp;&amp; L[i] &lt;= R[j])) {</div>
<div class="line"><span class="lineno"> 48</span> arr[k] = L[i];</div>
<div class="line"><span class="lineno"> 49</span> i++;</div>
<div class="line"><span class="lineno"> 50</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><span class="lineno"> 51</span> arr[k] = R[j];</div>
<div class="line"><span class="lineno"> 52</span> j++;</div>
<div class="line"><span class="lineno"> 53</span> }</div>
<div class="line"><span class="lineno"> 54</span> <a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a1b74d828b33760094906797042b89442">k</a>++;</div>
<div class="line"><span class="lineno"> 55</span> }</div>
<div class="line"><span class="lineno"> 56</span> </div>
<div class="line"><span class="lineno"> 57</span> <span class="keyword">delete</span>[] L;</div>
<div class="line"><span class="lineno"> 58</span> <span class="keyword">delete</span>[] R;</div>
<div class="line"><span class="lineno"> 59</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> composite_simpson_rule.cpp:117</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 *&#160;</td>
<td class="paramname"><em>arr</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>l</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>r</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></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="../../d5/d4c/group__sorting.html#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>
<div class="fragment"><div class="line"><span class="lineno"> 71</span> {</div>
<div class="line"><span class="lineno"> 72</span> <span class="keywordflow">if</span> (l &lt; r) {</div>
<div class="line"><span class="lineno"> 73</span> <span class="keywordtype">int</span> m = l + (r - l) / 2;</div>
<div class="line"><span class="lineno"> 74</span> <a class="code hl_function" href="../../d5/d4c/group__sorting.html#gab6b14fea48d9841e29b9fc26be6e05d7">mergeSort</a>(arr, l, m);</div>
<div class="line"><span class="lineno"> 75</span> <a class="code hl_function" href="../../d5/d4c/group__sorting.html#gab6b14fea48d9841e29b9fc26be6e05d7">mergeSort</a>(arr, m + 1, r);</div>
<div class="line"><span class="lineno"> 76</span> <a class="code hl_function" href="../../d5/d4c/group__sorting.html#ga460c61cd948203b4816bef2accb3fc73">merge</a>(arr, l, m, r);</div>
<div class="line"><span class="lineno"> 77</span> }</div>
<div class="line"><span class="lineno"> 78</span>}</div>
<div class="ttc" id="agroup__sorting_html_ga460c61cd948203b4816bef2accb3fc73"><div class="ttname"><a href="../../d5/d4c/group__sorting.html#ga460c61cd948203b4816bef2accb3fc73">merge</a></div><div class="ttdeci">void merge(int *arr, int l, int m, int r)</div><div class="ttdef"><b>Definition:</b> merge_sort.cpp:33</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 *&#160;</td>
<td class="paramname"><em>arr</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>size</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
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<p >Utility function used to print the array after sorting </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 = 0; i &lt; size; i++) <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; arr[i] &lt;&lt; <span class="stringliteral">&quot; &quot;</span>;</div>
<div class="line"><span class="lineno"> 86</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 87</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">static void test </td>
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<td class="paramname"></td><td>)</td>
<td></td>
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<td class="mlabels-right">
<span class="mlabels"><span class="mlabel">static</span></span> </td>
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<p >Test function </p><dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 106</span> {</div>
<div class="line"><span class="lineno"> 107</span> <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/random/srand.html">std::srand</a>(<a class="code hl_functionRef" 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"><span class="lineno"> 108</span> </div>
<div class="line"><span class="lineno"> 109</span> <a class="code hl_classRef" 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="lineno"> 110</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"> 111</span> d = float(<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/random/rand.html">std::rand</a>() % 1000 - 500) / 100.f;</div>
<div class="line"><span class="lineno"> 112</span> }</div>
<div class="line"><span class="lineno"> 113</span> </div>
<div class="line"><span class="lineno"> 114</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;float&gt;</a> sorted = sorting::wiggle_sort::wiggleSort&lt;float&gt;(data1);</div>
<div class="line"><span class="lineno"> 115</span> </div>
<div class="line"><span class="lineno"> 116</span> <a class="code hl_function" href="../../d5/d4c/group__sorting.html#ga135e4c638e3bcf548bd122b5f49a3e72">displayElements</a>(sorted);</div>
<div class="line"><span class="lineno"> 117</span> </div>
<div class="line"><span class="lineno"> 118</span> <span class="keywordflow">for</span> (uint32_t j = 0; j &lt; data1.size(); j += 2) {</div>
<div class="line"><span class="lineno"> 119</span> assert(data1[j] &lt;= data1[j + 1] &amp;&amp;</div>
<div class="line"><span class="lineno"> 120</span> data1[j + 1] &gt;= data1[j + 2]); <span class="comment">// check the validation condition</span></div>
<div class="line"><span class="lineno"> 121</span> }</div>
<div class="line"><span class="lineno"> 122</span> </div>
<div class="line"><span class="lineno"> 123</span> <a class="code hl_classRef" 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"><span class="lineno"> 124</span>}</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="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="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>
<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>
<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>
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