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<p>Implementation of the <a href="https://www.sanfoundry.com/cpp-program-implement-quick-sort-using-randomisation">Random Pivot Quick Sort</a> algorithm.
|
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<a href="#details">More...</a></p>
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<div class="textblock"><code>#include <iostream></code><br />
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<code>#include <ctime></code><br />
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<code>#include <cassert></code><br />
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<code>#include <algorithm></code><br />
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<code>#include <array></code><br />
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<code>#include <tuple></code><br />
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Include dependency graph for random_pivot_quick_sort.cpp:</div>
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<tr class="memdesc:"><td class="mdescLeft"> </td><td class="mdescRight">a class containing the necessary test cases <a href="../../d5/d58/class_test_cases.html#details">More...</a><br /></td></tr>
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Namespaces</h2></td></tr>
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<tr class="memdesc:d5/d91/namespacesorting"><td class="mdescLeft"> </td><td class="mdescRight">Sorting algorithms. <br /></td></tr>
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<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:de/d6b/namespacerandom__pivot__quick__sort"><td class="memItemLeft" align="right" valign="top">  </td><td class="memItemRight" valign="bottom"><a class="el" href="../../de/d6b/namespacerandom__pivot__quick__sort.html">random_pivot_quick_sort</a></td></tr>
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<tr class="memdesc:de/d6b/namespacerandom__pivot__quick__sort"><td class="mdescLeft"> </td><td class="mdescRight">Functions for the <a href="https://www.sanfoundry.com/cpp-program-implement-quick-sort-using-randomisation">Random Pivot Quick Sort</a> implementation. <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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Functions</h2></td></tr>
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<tr class="memitem:ac3281dc34a9cfd7beb332419b8a0aa10"><td class="memTemplParams" colspan="2">template<size_t T> </td></tr>
|
||||
<tr class="memitem:ac3281dc34a9cfd7beb332419b8a0aa10"><td class="memTemplItemLeft" align="right" valign="top">void </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../d1/daa/random__pivot__quick__sort_8cpp.html#ac3281dc34a9cfd7beb332419b8a0aa10">sorting::random_pivot_quick_sort::showArray</a> (<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array</a>< int64_t, T > arr)</td></tr>
|
||||
<tr class="memdesc:ac3281dc34a9cfd7beb332419b8a0aa10"><td class="mdescLeft"> </td><td class="mdescRight">Utility function to print the array. <a href="../../d1/daa/random__pivot__quick__sort_8cpp.html#ac3281dc34a9cfd7beb332419b8a0aa10">More...</a><br /></td></tr>
|
||||
<tr class="separator:ac3281dc34a9cfd7beb332419b8a0aa10"><td class="memSeparator" colspan="2"> </td></tr>
|
||||
<tr class="memitem:aac5657b4fe2251cd21073f44233f6ea5"><td class="memItemLeft" align="right" valign="top">int64_t </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d1/daa/random__pivot__quick__sort_8cpp.html#aac5657b4fe2251cd21073f44233f6ea5">sorting::random_pivot_quick_sort::getRandomIndex</a> (int64_t start, int64_t end)</td></tr>
|
||||
<tr class="memdesc:aac5657b4fe2251cd21073f44233f6ea5"><td class="mdescLeft"> </td><td class="mdescRight">Takes the start and end indices of an array and returns a random int64_teger between the range of those two for selecting pivot element. <a href="../../d1/daa/random__pivot__quick__sort_8cpp.html#aac5657b4fe2251cd21073f44233f6ea5">More...</a><br /></td></tr>
|
||||
<tr class="separator:aac5657b4fe2251cd21073f44233f6ea5"><td class="memSeparator" colspan="2"> </td></tr>
|
||||
<tr class="memitem:a96284b18dfdafdd67085166fc0e43246"><td class="memTemplParams" colspan="2">template<size_t size> </td></tr>
|
||||
<tr class="memitem:a96284b18dfdafdd67085166fc0e43246"><td class="memTemplItemLeft" align="right" valign="top"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/utility/tuple.html">std::tuple</a>< int64_t, <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array</a>< int64_t, size > > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../d1/daa/random__pivot__quick__sort_8cpp.html#a96284b18dfdafdd67085166fc0e43246">sorting::random_pivot_quick_sort::partition</a> (<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array</a>< int64_t, size > arr, int64_t start, int64_t end)</td></tr>
|
||||
<tr class="memdesc:a96284b18dfdafdd67085166fc0e43246"><td class="mdescLeft"> </td><td class="mdescRight">A partition function which handles the partition logic of quick sort. <a href="../../d1/daa/random__pivot__quick__sort_8cpp.html#a96284b18dfdafdd67085166fc0e43246">More...</a><br /></td></tr>
|
||||
<tr class="separator:a96284b18dfdafdd67085166fc0e43246"><td class="memSeparator" colspan="2"> </td></tr>
|
||||
<tr class="memitem:ab4669ac90ee144c7d0d51ab50890b6b1"><td class="memTemplParams" colspan="2">template<size_t size> </td></tr>
|
||||
<tr class="memitem:ab4669ac90ee144c7d0d51ab50890b6b1"><td class="memTemplItemLeft" align="right" valign="top"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array</a>< int64_t, size > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../d1/daa/random__pivot__quick__sort_8cpp.html#ab4669ac90ee144c7d0d51ab50890b6b1">sorting::random_pivot_quick_sort::quickSortRP</a> (<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array</a>< int64_t, size > arr, int64_t start, int64_t end)</td></tr>
|
||||
<tr class="memdesc:ab4669ac90ee144c7d0d51ab50890b6b1"><td class="mdescLeft"> </td><td class="mdescRight">Random pivot quick sort function. This function is the starting point of the algorithm. <a href="../../d1/daa/random__pivot__quick__sort_8cpp.html#ab4669ac90ee144c7d0d51ab50890b6b1">More...</a><br /></td></tr>
|
||||
<tr class="separator:ab4669ac90ee144c7d0d51ab50890b6b1"><td class="memSeparator" colspan="2"> </td></tr>
|
||||
<tr class="memitem:ad79f6a1484c1a421a4a82992f2490564"><td class="memTemplParams" colspan="2">template<size_t size> </td></tr>
|
||||
<tr class="memitem:ad79f6a1484c1a421a4a82992f2490564"><td class="memTemplItemLeft" align="right" valign="top"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array</a>< int64_t, size > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../d1/daa/random__pivot__quick__sort_8cpp.html#ad79f6a1484c1a421a4a82992f2490564">sorting::random_pivot_quick_sort::generateUnsortedArray</a> (int64_t from, int64_t to)</td></tr>
|
||||
<tr class="memdesc:ad79f6a1484c1a421a4a82992f2490564"><td class="mdescLeft"> </td><td class="mdescRight">A function utility to generate unsorted array of given size and range. <a href="../../d1/daa/random__pivot__quick__sort_8cpp.html#ad79f6a1484c1a421a4a82992f2490564">More...</a><br /></td></tr>
|
||||
<tr class="separator:ad79f6a1484c1a421a4a82992f2490564"><td class="memSeparator" colspan="2"> </td></tr>
|
||||
<tr class="memitem:aa8dca7b867074164d5f45b0f3851269d"><td class="memItemLeft" align="right" valign="top">static void </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d1/daa/random__pivot__quick__sort_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a> ()</td></tr>
|
||||
<tr class="memdesc:aa8dca7b867074164d5f45b0f3851269d"><td class="mdescLeft"> </td><td class="mdescRight">Self-test implementations. <a href="../../d1/daa/random__pivot__quick__sort_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">More...</a><br /></td></tr>
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||||
<tr class="separator:aa8dca7b867074164d5f45b0f3851269d"><td class="memSeparator" colspan="2"> </td></tr>
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||||
<tr class="memitem:a0ddf1224851353fc92bfbff6f499fa97"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d1/daa/random__pivot__quick__sort_8cpp.html#a0ddf1224851353fc92bfbff6f499fa97">main</a> (int argc, char *argv[])</td></tr>
|
||||
<tr class="memdesc:a0ddf1224851353fc92bfbff6f499fa97"><td class="mdescLeft"> </td><td class="mdescRight">Main function. <a href="../../d1/daa/random__pivot__quick__sort_8cpp.html#a0ddf1224851353fc92bfbff6f499fa97">More...</a><br /></td></tr>
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||||
<tr class="separator:a0ddf1224851353fc92bfbff6f499fa97"><td class="memSeparator" colspan="2"> </td></tr>
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||||
</table>
|
||||
<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
|
||||
<div class="textblock"><p>Implementation of the <a href="https://www.sanfoundry.com/cpp-program-implement-quick-sort-using-randomisation">Random Pivot Quick Sort</a> algorithm. </p>
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||||
<ul>
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||||
<li>A random pivot quick sort algorithm is pretty much same as quick sort with a difference of having a logic of selecting next pivot element from the input array.</li>
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<li>Where in quick sort is fast, but still can give you the time complexity of O(n^2) in worst case.</li>
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||||
<li>To avoid hitting the time complexity of O(n^2), we use the logic of randomize the selection process of pivot element.</li>
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</ul>
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<h3><a class="anchor" id="autotoc_md86"></a>
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Logic</h3>
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<ul>
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<li>The logic is pretty simple, the only change is in the partitioning algorithm, which is selecting the pivot element.</li>
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||||
<li>Instead of selecting the last or the first element from array for pivot we use a random index to select pivot element.</li>
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||||
<li>This avoids hitting the O(n^2) time complexity in practical use cases.</li>
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||||
</ul>
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||||
<h3><a class="anchor" id="autotoc_md87"></a>
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||||
Partition Logic</h3>
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<ul>
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<li>Partitions are done such as numbers lower than the "pivot" element is arranged on the left side of the "pivot", and number larger than the "pivot" element are arranged on the right part of the array.</li>
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</ul>
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<h3><a class="anchor" id="autotoc_md88"></a>
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Algorithm</h3>
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||||
<ul>
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||||
<li>Select the pivot element randomly using <a class="el" href="../../d1/daa/random__pivot__quick__sort_8cpp.html#aac5657b4fe2251cd21073f44233f6ea5" title="Takes the start and end indices of an array and returns a random int64_teger between the range of tho...">getRandomIndex()</a> function from this namespace.</li>
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<li>Initialize the pInd (partition index) from the start of the array.</li>
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||||
<li>Loop through the array from start to less than end. (from start to < end). (Inside the loop) :-<ul>
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||||
<li>Check if the current element (arr[i]) is less than the pivot element in each iteration.</li>
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||||
<li>If current element in the iteration is less than the pivot element, then swap the elements at current index (i) and partition index (pInd) and increment the partition index by one.</li>
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</ul>
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</li>
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<li>At the end of the loop, swap the pivot element with partition index element.</li>
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<li>Return the partition index from the function.</li>
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||||
</ul>
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||||
<dl class="section author"><dt>Author</dt><dd><a href="https://github.com/foo290">Nitin Sharma</a> </dd></dl>
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</div><h2 class="groupheader">Function Documentation</h2>
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||||
<a id="ad79f6a1484c1a421a4a82992f2490564"></a>
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||||
<h2 class="memtitle"><span class="permalink"><a href="#ad79f6a1484c1a421a4a82992f2490564">◆ </a></span>generateUnsortedArray()</h2>
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||||
<div class="memitem">
|
||||
<div class="memproto">
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||||
<div class="memtemplate">
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template<size_t size> </div>
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||||
<table class="memname">
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||||
<tr>
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||||
<td class="memname"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array</a><int64_t , size> sorting::random_pivot_quick_sort::generateUnsortedArray </td>
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||||
<td>(</td>
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||||
<td class="paramtype">int64_t </td>
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||||
<td class="paramname"><em>from</em>, </td>
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</tr>
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||||
<tr>
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||||
<td class="paramkey"></td>
|
||||
<td></td>
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||||
<td class="paramtype">int64_t </td>
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||||
<td class="paramname"><em>to</em> </td>
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</tr>
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||||
<tr>
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||||
<td></td>
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||||
<td>)</td>
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<td></td><td></td>
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||||
</tr>
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||||
</table>
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||||
</div><div class="memdoc">
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||||
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<p>A function utility to generate unsorted array of given size and range. </p>
|
||||
<dl class="tparams"><dt>Template Parameters</dt><dd>
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||||
<table class="tparams">
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||||
<tr><td class="paramname">size</td><td>Size of the output array. </td></tr>
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</table>
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</dd>
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||||
</dl>
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||||
<dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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||||
<tr><td class="paramname">from</td><td>Stating of the range. </td></tr>
|
||||
<tr><td class="paramname">to</td><td>Ending of the range. </td></tr>
|
||||
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|
||||
</dd>
|
||||
</dl>
|
||||
<dl class="section return"><dt>Returns</dt><dd>std::array<int64_t , size> Unsorted array of specified size. </dd></dl>
|
||||
<div class="fragment"><div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  {</div>
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<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/random/srand.html">srand</a>(<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/chrono/c/time.html">time</a>(<span class="keyword">nullptr</span>));</div>
|
||||
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array<int64_t , size></a> unsortedArray{};</div>
|
||||
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  assert(from < to);</div>
|
||||
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  int64_t i = 0;</div>
|
||||
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  <span class="keywordflow">while</span> (i < size) {</div>
|
||||
<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  int64_t randomNum = from + <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/random/rand.html">rand</a>() % (to - from + 1);</div>
|
||||
<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>  <span class="keywordflow">if</span> (randomNum) {</div>
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<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>  unsortedArray[i] = randomNum;</div>
|
||||
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  i++;</div>
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<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>  }</div>
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<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>  }</div>
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<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>  <span class="keywordflow">return</span> unsortedArray;</div>
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<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>  }</div>
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||||
<div class="ttc" id="aarray_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/array.html">std::array</a></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>
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<div class="center"><iframe scrolling="no" frameborder="0" src="../../d1/daa/random__pivot__quick__sort_8cpp_ad79f6a1484c1a421a4a82992f2490564_cgraph.svg" width="211" height="91"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe>
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<h2 class="memtitle"><span class="permalink"><a href="#aac5657b4fe2251cd21073f44233f6ea5">◆ </a></span>getRandomIndex()</h2>
|
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||||
<td class="memname">int64_t sorting::random_pivot_quick_sort::getRandomIndex </td>
|
||||
<td>(</td>
|
||||
<td class="paramtype">int64_t </td>
|
||||
<td class="paramname"><em>start</em>, </td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td class="paramkey"></td>
|
||||
<td></td>
|
||||
<td class="paramtype">int64_t </td>
|
||||
<td class="paramname"><em>end</em> </td>
|
||||
</tr>
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<tr>
|
||||
<td></td>
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||||
<td>)</td>
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<td></td><td></td>
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||||
</div><div class="memdoc">
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||||
<p>Takes the start and end indices of an array and returns a random int64_teger between the range of those two for selecting pivot element. </p>
|
||||
<dl class="params"><dt>Parameters</dt><dd>
|
||||
<table class="params">
|
||||
<tr><td class="paramname">start</td><td>The starting index. </td></tr>
|
||||
<tr><td class="paramname">end</td><td>The ending index. </td></tr>
|
||||
</table>
|
||||
</dd>
|
||||
</dl>
|
||||
<dl class="section return"><dt>Returns</dt><dd>int64_t A random number between start and end index. </dd></dl>
|
||||
<div class="fragment"><div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  {</div>
|
||||
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/random/srand.html">srand</a>(<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/chrono/c/time.html">time</a>(<span class="keyword">nullptr</span>)); <span class="comment">// Initialize random number generator.</span></div>
|
||||
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  int64_t randomPivotIndex = start + <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/random/rand.html">rand</a>() % (<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/end.html">end</a> - start + 1);</div>
|
||||
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  <span class="keywordflow">return</span> randomPivotIndex;</div>
|
||||
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  }</div>
|
||||
<div class="ttc" id="aend_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/iterator/end.html">std::end</a></div><div class="ttdeci">T end(T... args)</div></div>
|
||||
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<div class="dyncontent">
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||||
<div class="center"><iframe scrolling="no" frameborder="0" src="../../d1/daa/random__pivot__quick__sort_8cpp_aac5657b4fe2251cd21073f44233f6ea5_cgraph.svg" width="207" height="76"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe>
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<a id="a0ddf1224851353fc92bfbff6f499fa97"></a>
|
||||
<h2 class="memtitle"><span class="permalink"><a href="#a0ddf1224851353fc92bfbff6f499fa97">◆ </a></span>main()</h2>
|
||||
|
||||
<div class="memitem">
|
||||
<div class="memproto">
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||||
<table class="memname">
|
||||
<tr>
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||||
<td class="memname">int main </td>
|
||||
<td>(</td>
|
||||
<td class="paramtype">int </td>
|
||||
<td class="paramname"><em>argc</em>, </td>
|
||||
</tr>
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||||
<tr>
|
||||
<td class="paramkey"></td>
|
||||
<td></td>
|
||||
<td class="paramtype">char * </td>
|
||||
<td class="paramname"><em>argv</em>[] </td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td></td>
|
||||
<td>)</td>
|
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<td></td><td></td>
|
||||
</tr>
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||||
</table>
|
||||
</div><div class="memdoc">
|
||||
|
||||
<p>Main function. </p>
|
||||
<dl class="params"><dt>Parameters</dt><dd>
|
||||
<table class="params">
|
||||
<tr><td class="paramname">argc</td><td>commandline argument count (ignored) </td></tr>
|
||||
<tr><td class="paramname">argv</td><td>commandline array of arguments (ignored) </td></tr>
|
||||
</table>
|
||||
</dd>
|
||||
</dl>
|
||||
<dl class="section return"><dt>Returns</dt><dd>0 on exit </dd></dl>
|
||||
<div class="fragment"><div class="line"><a name="l00294"></a><span class="lineno"> 294</span>  {</div>
|
||||
<div class="line"><a name="l00295"></a><span class="lineno"> 295</span>  <a class="code" href="../../d1/daa/random__pivot__quick__sort_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// Executes various test cases.</span></div>
|
||||
<div class="line"><a name="l00296"></a><span class="lineno"> 296</span>  </div>
|
||||
<div class="line"><a name="l00297"></a><span class="lineno"> 297</span>  <span class="keyword">const</span> int64_t inputSize = 10;</div>
|
||||
<div class="line"><a name="l00298"></a><span class="lineno"> 298</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array<int64_t , inputSize></a> unsorted_array = sorting::random_pivot_quick_sort::generateUnsortedArray<inputSize>(50, 1000);</div>
|
||||
<div class="line"><a name="l00299"></a><span class="lineno"> 299</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"Unsorted array is : "</span> << <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
|
||||
<div class="line"><a name="l00300"></a><span class="lineno"> 300</span>  <a class="code" href="../../d1/daa/random__pivot__quick__sort_8cpp.html#ac3281dc34a9cfd7beb332419b8a0aa10">sorting::random_pivot_quick_sort::showArray</a>(unsorted_array);</div>
|
||||
<div class="line"><a name="l00301"></a><span class="lineno"> 301</span>  </div>
|
||||
<div class="line"><a name="l00302"></a><span class="lineno"> 302</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array<int64_t , inputSize></a> sorted_array = <a class="code" href="../../d1/daa/random__pivot__quick__sort_8cpp.html#ab4669ac90ee144c7d0d51ab50890b6b1">sorting::random_pivot_quick_sort::quickSortRP</a>(</div>
|
||||
<div class="line"><a name="l00303"></a><span class="lineno"> 303</span>  unsorted_array, 0,</div>
|
||||
<div class="line"><a name="l00304"></a><span class="lineno"> 304</span>  unsorted_array.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array/size.html">size</a>() - 1</div>
|
||||
<div class="line"><a name="l00305"></a><span class="lineno"> 305</span>  );</div>
|
||||
<div class="line"><a name="l00306"></a><span class="lineno"> 306</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"Sorted array is : "</span> << <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
|
||||
<div class="line"><a name="l00307"></a><span class="lineno"> 307</span>  <a class="code" href="../../d1/daa/random__pivot__quick__sort_8cpp.html#ac3281dc34a9cfd7beb332419b8a0aa10">sorting::random_pivot_quick_sort::showArray</a>(sorted_array);</div>
|
||||
<div class="line"><a name="l00308"></a><span class="lineno"> 308</span>  <span class="keywordflow">return</span> 0;</div>
|
||||
<div class="line"><a name="l00309"></a><span class="lineno"> 309</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="arandom__pivot__quick__sort_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="../../d1/daa/random__pivot__quick__sort_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a></div><div class="ttdeci">static void test()</div><div class="ttdoc">Self-test implementations.</div><div class="ttdef"><b>Definition:</b> random_pivot_quick_sort.cpp:283</div></div>
|
||||
<div class="ttc" id="arandom__pivot__quick__sort_8cpp_html_ab4669ac90ee144c7d0d51ab50890b6b1"><div class="ttname"><a href="../../d1/daa/random__pivot__quick__sort_8cpp.html#ab4669ac90ee144c7d0d51ab50890b6b1">sorting::random_pivot_quick_sort::quickSortRP</a></div><div class="ttdeci">std::array< int64_t, size > quickSortRP(std::array< int64_t, size > arr, int64_t start, int64_t end)</div><div class="ttdoc">Random pivot quick sort function. This function is the starting point of the algorithm.</div><div class="ttdef"><b>Definition:</b> random_pivot_quick_sort.cpp:112</div></div>
|
||||
<div class="ttc" id="arandom__pivot__quick__sort_8cpp_html_ac3281dc34a9cfd7beb332419b8a0aa10"><div class="ttname"><a href="../../d1/daa/random__pivot__quick__sort_8cpp.html#ac3281dc34a9cfd7beb332419b8a0aa10">sorting::random_pivot_quick_sort::showArray</a></div><div class="ttdeci">void showArray(std::array< int64_t, T > arr)</div><div class="ttdoc">Utility function to print the array.</div><div class="ttdef"><b>Definition:</b> random_pivot_quick_sort.cpp:60</div></div>
|
||||
<div class="ttc" id="asize_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/array/size.html">std::array::size</a></div><div class="ttdeci">T size(T... args)</div></div>
|
||||
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<div class="dyncontent">
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<div class="center"><div class="zoom"><iframe scrolling="no" frameborder="0" src="../../d1/daa/random__pivot__quick__sort_8cpp_a0ddf1224851353fc92bfbff6f499fa97_cgraph.svg" width="100%" height="507"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe></div>
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||||
<h2 class="memtitle"><span class="permalink"><a href="#a96284b18dfdafdd67085166fc0e43246">◆ </a></span>partition()</h2>
|
||||
|
||||
<div class="memitem">
|
||||
<div class="memproto">
|
||||
<div class="memtemplate">
|
||||
template<size_t size> </div>
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||||
<table class="memname">
|
||||
<tr>
|
||||
<td class="memname"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/utility/tuple.html">std::tuple</a><int64_t , <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array</a><int64_t , size> > sorting::random_pivot_quick_sort::partition </td>
|
||||
<td>(</td>
|
||||
<td class="paramtype"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array</a>< int64_t, size > </td>
|
||||
<td class="paramname"><em>arr</em>, </td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td class="paramkey"></td>
|
||||
<td></td>
|
||||
<td class="paramtype">int64_t </td>
|
||||
<td class="paramname"><em>start</em>, </td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td class="paramkey"></td>
|
||||
<td></td>
|
||||
<td class="paramtype">int64_t </td>
|
||||
<td class="paramname"><em>end</em> </td>
|
||||
</tr>
|
||||
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|
||||
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|
||||
<td>)</td>
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||||
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||||
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||||
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||||
</div><div class="memdoc">
|
||||
|
||||
<p>A partition function which handles the partition logic of quick sort. </p>
|
||||
<dl class="tparams"><dt>Template Parameters</dt><dd>
|
||||
<table class="tparams">
|
||||
<tr><td class="paramname">size</td><td>size of the array to be passed as argument. </td></tr>
|
||||
</table>
|
||||
</dd>
|
||||
</dl>
|
||||
<dl class="params"><dt>Parameters</dt><dd>
|
||||
<table class="params">
|
||||
<tr><td class="paramname">start</td><td>The start index of the passed array </td></tr>
|
||||
<tr><td class="paramname">end</td><td>The ending index of the passed array </td></tr>
|
||||
</table>
|
||||
</dd>
|
||||
</dl>
|
||||
<dl class="section return"><dt>Returns</dt><dd><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/utility/tuple.html">std::tuple</a><int64_t , std::array<int64_t , size>> A tuple of pivot index and pivot sorted array. </dd></dl>
|
||||
<div class="fragment"><div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  {</div>
|
||||
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  </div>
|
||||
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  int64_t pivot = arr[<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/end.html">end</a>]; <span class="comment">// Randomly selected element will be here from caller function (quickSortRP()).</span></div>
|
||||
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  int64_t pInd = start;</div>
|
||||
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  </div>
|
||||
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  <span class="keywordflow">for</span> (int64_t i = start; i < <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/end.html">end</a>; i++) {</div>
|
||||
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  <span class="keywordflow">if</span> (arr[i] <= pivot) {</div>
|
||||
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/swap.html">std::swap</a>(arr[i], arr[pInd]); <span class="comment">// swapping the elements from current index to pInd.</span></div>
|
||||
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  pInd++;</div>
|
||||
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  }</div>
|
||||
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  }</div>
|
||||
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/swap.html">std::swap</a>(arr[pInd], arr[end]); <span class="comment">// swapping the pivot element to its sorted position</span></div>
|
||||
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  <span class="keywordflow">return</span> <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/utility/tuple/make_tuple.html">std::make_tuple</a>(pInd, arr);</div>
|
||||
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  }</div>
|
||||
<div class="ttc" id="amake_tuple_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/utility/tuple/make_tuple.html">std::make_tuple</a></div><div class="ttdeci">T make_tuple(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>
|
||||
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<div class="center"><iframe scrolling="no" frameborder="0" src="../../d1/daa/random__pivot__quick__sort_8cpp_a96284b18dfdafdd67085166fc0e43246_cgraph.svg" width="320" height="88"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe>
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<h2 class="memtitle"><span class="permalink"><a href="#ab4669ac90ee144c7d0d51ab50890b6b1">◆ </a></span>quickSortRP()</h2>
|
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||||
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template<size_t size> </div>
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|
||||
<tr>
|
||||
<td class="memname"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array</a><int64_t , size> sorting::random_pivot_quick_sort::quickSortRP </td>
|
||||
<td>(</td>
|
||||
<td class="paramtype"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array</a>< int64_t, size > </td>
|
||||
<td class="paramname"><em>arr</em>, </td>
|
||||
</tr>
|
||||
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||||
<td class="paramkey"></td>
|
||||
<td></td>
|
||||
<td class="paramtype">int64_t </td>
|
||||
<td class="paramname"><em>start</em>, </td>
|
||||
</tr>
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||||
<tr>
|
||||
<td class="paramkey"></td>
|
||||
<td></td>
|
||||
<td class="paramtype">int64_t </td>
|
||||
<td class="paramname"><em>end</em> </td>
|
||||
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||||
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|
||||
<td></td>
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||||
<td>)</td>
|
||||
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||||
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||||
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||||
</div><div class="memdoc">
|
||||
|
||||
<p>Random pivot quick sort function. This function is the starting point of the algorithm. </p>
|
||||
<dl class="tparams"><dt>Template Parameters</dt><dd>
|
||||
<table class="tparams">
|
||||
<tr><td class="paramname">size</td><td>size of the array to be passed as argument. </td></tr>
|
||||
</table>
|
||||
</dd>
|
||||
</dl>
|
||||
<dl class="params"><dt>Parameters</dt><dd>
|
||||
<table class="params">
|
||||
<tr><td class="paramname">start</td><td>The start index of the passed array </td></tr>
|
||||
<tr><td class="paramname">end</td><td>The ending index of the passed array </td></tr>
|
||||
</table>
|
||||
</dd>
|
||||
</dl>
|
||||
<dl class="section return"><dt>Returns</dt><dd>std::array<int64_t , size> A fully sorted array in ascending order. </dd></dl>
|
||||
<div class="fragment"><div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  {</div>
|
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<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  <span class="keywordflow">if</span> (start < end) {</div>
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||||
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  </div>
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||||
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  int64_t randomIndex = <a class="code" href="../../d1/daa/random__pivot__quick__sort_8cpp.html#aac5657b4fe2251cd21073f44233f6ea5">getRandomIndex</a>(start, end);</div>
|
||||
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  </div>
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||||
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  <span class="comment">// switching the pivot with right most bound.</span></div>
|
||||
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/swap.html">std::swap</a>(arr[end], arr[randomIndex]);</div>
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<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  </div>
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||||
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  int64_t pivotIndex = 0;</div>
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||||
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  <span class="comment">// getting pivot index and pivot sorted array.</span></div>
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||||
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/utility/tuple/tie.html">std::tie</a>(pivotIndex, arr) = <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/partition.html">partition</a>(arr, start, end);</div>
|
||||
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  </div>
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<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  <span class="comment">// Recursively calling</span></div>
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<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array</a><int64_t , arr.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array/size.html">size</a>()> rightSortingLeft = <a class="code" href="../../d1/daa/random__pivot__quick__sort_8cpp.html#ab4669ac90ee144c7d0d51ab50890b6b1">quickSortRP</a>(arr, start, pivotIndex - 1);</div>
|
||||
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array</a><int64_t , arr.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array/size.html">size</a>()> full_sorted = <a class="code" href="../../d1/daa/random__pivot__quick__sort_8cpp.html#ab4669ac90ee144c7d0d51ab50890b6b1">quickSortRP</a>(rightSortingLeft, pivotIndex + 1, end);</div>
|
||||
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  arr = full_sorted;</div>
|
||||
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  }</div>
|
||||
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  <span class="keywordflow">return</span> arr;</div>
|
||||
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  }</div>
|
||||
<div class="ttc" id="apartition_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/algorithm/partition.html">std::partition</a></div><div class="ttdeci">T partition(T... args)</div></div>
|
||||
<div class="ttc" id="arandom__pivot__quick__sort_8cpp_html_aac5657b4fe2251cd21073f44233f6ea5"><div class="ttname"><a href="../../d1/daa/random__pivot__quick__sort_8cpp.html#aac5657b4fe2251cd21073f44233f6ea5">sorting::random_pivot_quick_sort::getRandomIndex</a></div><div class="ttdeci">int64_t getRandomIndex(int64_t start, int64_t end)</div><div class="ttdoc">Takes the start and end indices of an array and returns a random int64_teger between the range of tho...</div><div class="ttdef"><b>Definition:</b> random_pivot_quick_sort.cpp:75</div></div>
|
||||
<div class="ttc" id="atie_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/utility/tuple/tie.html">std::tie</a></div><div class="ttdeci">T tie(T... args)</div></div>
|
||||
</div><!-- fragment --><div class="dynheader">
|
||||
Here is the call graph for this function:</div>
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||||
<div class="dyncontent">
|
||||
<div class="center"><iframe scrolling="no" frameborder="0" src="../../d1/daa/random__pivot__quick__sort_8cpp_ab4669ac90ee144c7d0d51ab50890b6b1_cgraph.svg" width="426" height="280"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe>
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|
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<h2 class="memtitle"><span class="permalink"><a href="#ac3281dc34a9cfd7beb332419b8a0aa10">◆ </a></span>showArray()</h2>
|
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|
||||
<div class="memitem">
|
||||
<div class="memproto">
|
||||
<div class="memtemplate">
|
||||
template<size_t T> </div>
|
||||
<table class="memname">
|
||||
<tr>
|
||||
<td class="memname">void sorting::random_pivot_quick_sort::showArray </td>
|
||||
<td>(</td>
|
||||
<td class="paramtype"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array</a>< int64_t, T > </td>
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<td class="paramname"><em>arr</em></td><td>)</td>
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||||
<td></td>
|
||||
</tr>
|
||||
</table>
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||||
</div><div class="memdoc">
|
||||
|
||||
<p>Utility function to print the array. </p>
|
||||
<dl class="tparams"><dt>Template Parameters</dt><dd>
|
||||
<table class="tparams">
|
||||
<tr><td class="paramname">T</td><td>size of the array </td></tr>
|
||||
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||||
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||||
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|
||||
<dl class="params"><dt>Parameters</dt><dd>
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||||
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|
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<tr><td class="paramname">arr</td><td>array used to print its content </td></tr>
|
||||
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||||
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|
||||
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|
||||
<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
|
||||
<div class="fragment"><div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  {</div>
|
||||
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  <span class="keywordflow">for</span> (int64_t i = 0; i < arr.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array/size.html">size</a>(); i++) {</div>
|
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<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << arr[i] << <span class="stringliteral">" "</span>;</div>
|
||||
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  }</div>
|
||||
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
|
||||
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  }</div>
|
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</div><!-- fragment --><div class="dynheader">
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<h2 class="memtitle"><span class="permalink"><a href="#aa8dca7b867074164d5f45b0f3851269d">◆ </a></span>test()</h2>
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<td>(</td>
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||||
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<p>Self-test implementations. </p>
|
||||
<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
|
||||
<div class="fragment"><div class="line"><a name="l00283"></a><span class="lineno"> 283</span>  {</div>
|
||||
<div class="line"><a name="l00284"></a><span class="lineno"> 284</span>  <a class="code" href="../../d5/d58/class_test_cases.html">TestCases</a> tc = <a class="code" href="../../d5/d58/class_test_cases.html">TestCases</a>();</div>
|
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<div class="line"><a name="l00285"></a><span class="lineno"> 285</span>  tc.<a class="code" href="../../d5/d58/class_test_cases.html#aeabea90c02f9159e4a784bbf736e1e23">runTests</a>();</div>
|
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<div class="line"><a name="l00286"></a><span class="lineno"> 286</span> }</div>
|
||||
<div class="ttc" id="aclass_test_cases_html"><div class="ttname"><a href="../../d5/d58/class_test_cases.html">TestCases</a></div><div class="ttdoc">a class containing the necessary test cases</div><div class="ttdef"><b>Definition:</b> random_pivot_quick_sort.cpp:161</div></div>
|
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<div class="ttc" id="aclass_test_cases_html_aeabea90c02f9159e4a784bbf736e1e23"><div class="ttname"><a href="../../d5/d58/class_test_cases.html#aeabea90c02f9159e4a784bbf736e1e23">TestCases::runTests</a></div><div class="ttdeci">void runTests()</div><div class="ttdoc">Executes test cases.</div><div class="ttdef"><b>Definition:</b> random_pivot_quick_sort.cpp:179</div></div>
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