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<div class="headertitle"><div class="title">quick_sort.cpp File Reference</div></div>
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Include dependency graph for quick_sort.cpp:</div>
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<p><a href="../../d1/d21/quick__sort_8cpp_source.html">Go to the source code of this file.</a></p>
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<table class="memberdecls">
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="namespaces" name="namespaces"></a>
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<tr class="heading"><td colspan="2"><h2 id="header-namespaces" class="groupheader"><a id="namespaces" name="namespaces"></a>
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Namespaces</h2></td></tr>
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<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">namespace  </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d5/d91/namespacesorting.html">sorting</a></td></tr>
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<tr class="memitem:sorting" id="r_sorting"><td class="memItemLeft" align="right" valign="top">namespace  </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d5/d91/namespacesorting.html">sorting</a></td></tr>
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<tr class="memdesc:d5/d91/namespacesorting"><td class="mdescLeft"> </td><td class="mdescRight">for working with vectors <br /></td></tr>
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<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">namespace  </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d0/d2b/namespacequick__sort.html">quick_sort</a></td></tr>
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<tr class="memitem:quick_5Fsort" id="r_quick_5Fsort"><td class="memItemLeft" align="right" valign="top">namespace  </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d0/d2b/namespacequick__sort.html">quick_sort</a></td></tr>
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<tr class="memdesc:d0/d2b/namespacequick__sort"><td class="mdescLeft"> </td><td class="mdescRight">Functions for the <a href="https://en.wikipedia.org/wiki/Quicksort" target="_blank">Quick sort implementation</a> in C++. <br /></td></tr>
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<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
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</table><table class="memberdecls">
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="func-members" name="func-members"></a>
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<tr class="heading"><td colspan="2"><h2 id="header-func-members" class="groupheader"><a id="func-members" name="func-members"></a>
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Functions</h2></td></tr>
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<tr class="memitem:a1b2a2cc2d319240f3b65c5b2f479ed82" id="r_a1b2a2cc2d319240f3b65c5b2f479ed82"><td class="memTemplParams" colspan="2">template<typename T> </td></tr>
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<tr class="memitem:a1b2a2cc2d319240f3b65c5b2f479ed82"><td class="memTemplItemLeft" align="right" valign="top">int </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="#a1b2a2cc2d319240f3b65c5b2f479ed82">sorting::quick_sort::partition</a> (std::vector< T > *arr, const int &low, const int &high)</td></tr>
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<tr class="memitem:a1b2a2cc2d319240f3b65c5b2f479ed82 template"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="#a1b2a2cc2d319240f3b65c5b2f479ed82">sorting::quick_sort::partition</a> (std::vector< T > *arr, const int &low, const int &high)</td></tr>
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<tr class="memdesc:a1b2a2cc2d319240f3b65c5b2f479ed82"><td class="mdescLeft"> </td><td class="mdescRight">Sorts the array taking the last element as pivot. <br /></td></tr>
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<tr class="separator:a1b2a2cc2d319240f3b65c5b2f479ed82"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a5e6213e8008356ac6eda9427f3f4b394" id="r_a5e6213e8008356ac6eda9427f3f4b394"><td class="memTemplParams" colspan="2">template<typename T> </td></tr>
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<tr class="memitem:a5e6213e8008356ac6eda9427f3f4b394"><td class="memTemplItemLeft" align="right" valign="top">void </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="#a5e6213e8008356ac6eda9427f3f4b394">sorting::quick_sort::quick_sort</a> (std::vector< T > *arr, const int &low, const int &high)</td></tr>
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<tr class="memitem:a5e6213e8008356ac6eda9427f3f4b394 template"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="#a5e6213e8008356ac6eda9427f3f4b394">sorting::quick_sort::quick_sort</a> (std::vector< T > *arr, const int &low, const int &high)</td></tr>
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<tr class="memdesc:a5e6213e8008356ac6eda9427f3f4b394"><td class="mdescLeft"> </td><td class="mdescRight">the main function that implements Quick Sort. <br /></td></tr>
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<tr class="separator:a5e6213e8008356ac6eda9427f3f4b394"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a53adad7e4d83e1495df25fe8dbb4cc05" id="r_a53adad7e4d83e1495df25fe8dbb4cc05"><td class="memTemplParams" colspan="2">template<typename T> </td></tr>
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<tr class="memitem:a53adad7e4d83e1495df25fe8dbb4cc05"><td class="memTemplItemLeft" align="right" valign="top">std::vector< T > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="#a53adad7e4d83e1495df25fe8dbb4cc05">sorting::quick_sort::quick_sort</a> (std::vector< T > arr, const int &low, const int &high)</td></tr>
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<tr class="memitem:a53adad7e4d83e1495df25fe8dbb4cc05 template"><td class="memItemLeft" align="right" valign="top">std::vector< T > </td><td class="memItemRight" valign="bottom"><a class="el" href="#a53adad7e4d83e1495df25fe8dbb4cc05">sorting::quick_sort::quick_sort</a> (std::vector< T > arr, const int &low, const int &high)</td></tr>
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<tr class="memdesc:a53adad7e4d83e1495df25fe8dbb4cc05"><td class="mdescLeft"> </td><td class="mdescRight">the main function that implements Quick Sort. <br /></td></tr>
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<tr class="separator:a53adad7e4d83e1495df25fe8dbb4cc05"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:aeccefcf6fcca62c54939c5ec9a93109b" id="r_aeccefcf6fcca62c54939c5ec9a93109b"><td class="memTemplParams" colspan="2">template<typename T> </td></tr>
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<tr class="memitem:aeccefcf6fcca62c54939c5ec9a93109b"><td class="memTemplItemLeft" align="right" valign="top">void </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="#aeccefcf6fcca62c54939c5ec9a93109b">sorting::quick_sort::show</a> (const std::vector< T > &arr, const int &size)</td></tr>
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<tr class="memitem:aeccefcf6fcca62c54939c5ec9a93109b template"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="#aeccefcf6fcca62c54939c5ec9a93109b">sorting::quick_sort::show</a> (const std::vector< T > &arr, const int &size)</td></tr>
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<tr class="memdesc:aeccefcf6fcca62c54939c5ec9a93109b"><td class="mdescLeft"> </td><td class="mdescRight">Utility function to print the array contents. <br /></td></tr>
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<tr class="separator:aeccefcf6fcca62c54939c5ec9a93109b"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a483bb8ccf42aaf7375a83e91490eda1e" id="r_a483bb8ccf42aaf7375a83e91490eda1e"><td class="memItemLeft" align="right" valign="top">static void </td><td class="memItemRight" valign="bottom"><a class="el" href="#a483bb8ccf42aaf7375a83e91490eda1e">tests</a> ()</td></tr>
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<tr class="memdesc:a483bb8ccf42aaf7375a83e91490eda1e"><td class="mdescLeft"> </td><td class="mdescRight">Self-test implementations. <br /></td></tr>
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<tr class="separator:a483bb8ccf42aaf7375a83e91490eda1e"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ae66f6b31b5ad750f1fe042a706a4e3d4" id="r_ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a> ()</td></tr>
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<tr class="memdesc:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="mdescLeft"> </td><td class="mdescRight">Main function. <br /></td></tr>
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<tr class="separator:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memSeparator" colspan="2"> </td></tr>
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</table>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
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<a name="details" id="details"></a><h2 id="header-details" class="groupheader">Detailed Description</h2>
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<div class="textblock"><p><a href="https://en.wikipedia.org/wiki/Quicksort" target="_blank">Quick sort implementation</a> in C++ </p>
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<p>Quick Sort is a <a href="https://en.wikipedia.org/wiki/Category:Divide-and-conquer_algorithms" target="_blank">divide and conquer algorithm</a>. It picks an element as pivot and partition the given array around the picked pivot. There are many different versions of quickSort that pick pivot in different ways. </p><pre class="fragment"> 1. Always pick the first element as pivot
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2. Always pick the last element as pivot (implemented below)
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<a href="https://github.com/popoapp" target="_blank">popoapp</a> </dd></dl>
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<p class="definition">Definition in file <a class="el" href="../../d1/d21/quick__sort_8cpp_source.html">quick_sort.cpp</a>.</p>
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</div><h2 class="groupheader">Function Documentation</h2>
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</div><a name="doc-func-members" id="doc-func-members"></a><h2 id="header-doc-func-members" class="groupheader">Function Documentation</h2>
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<a id="ae66f6b31b5ad750f1fe042a706a4e3d4" name="ae66f6b31b5ad750f1fe042a706a4e3d4"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#ae66f6b31b5ad750f1fe042a706a4e3d4">◆ </a></span>main()</h2>
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@@ -301,10 +282,10 @@ template<typename T> </div>
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</dd>
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</dl>
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<dl class="section return"><dt>Returns</dt><dd>index of the smaller element</dd></dl>
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<h3><a class="anchor" id="autotoc_md116"></a>
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<h3 class="doxsection"><a class="anchor" id="autotoc_md116"></a>
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Time Complexity</h3>
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<p>best case, average Case: O(nlog(n)) Worst Case: O(n^2) (Worst case occur when the partition is consistently unbalanced.)</p>
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<h3><a class="anchor" id="autotoc_md117"></a>
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<h3 class="doxsection"><a class="anchor" id="autotoc_md117"></a>
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Space Complexity</h3>
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<p>average Case: O(log(n)) Worst Case: O(n) <br />
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It's space complexity is due to the recursive function calls and partitioning process. </p>
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@@ -489,7 +470,7 @@ template<typename T> </div>
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<td class="mlabels-left">
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<table class="memname">
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<tr>
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<td class="memname">static void tests </td>
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<td class="memname">void tests </td>
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<td>(</td>
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<td class="paramname"><span class="paramname"><em></em></span></td><td>)</td>
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<td></td>
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@@ -572,11 +553,19 @@ template<typename T> </div>
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