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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.
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &lt;iostream&gt;</code><br />
<code>#include &lt;ctime&gt;</code><br />
<code>#include &lt;cassert&gt;</code><br />
<code>#include &lt;algorithm&gt;</code><br />
<code>#include &lt;array&gt;</code><br />
<code>#include &lt;tuple&gt;</code><br />
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<tr class="memdesc:ac3281dc34a9cfd7beb332419b8a0aa10"><td class="mdescLeft">&#160;</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>
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<tr class="memitem:ab4669ac90ee144c7d0d51ab50890b6b1"><td class="memTemplParams" colspan="2">template&lt;size_t size&gt; </td></tr>
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<tr class="memdesc:ab4669ac90ee144c7d0d51ab50890b6b1"><td class="mdescLeft">&#160;</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>
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<tr class="memitem:ad79f6a1484c1a421a4a82992f2490564"><td class="memTemplParams" colspan="2">template&lt;size_t size&gt; </td></tr>
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<tr class="memdesc:ad79f6a1484c1a421a4a82992f2490564"><td class="mdescLeft">&#160;</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>
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<tr class="memitem:aa8dca7b867074164d5f45b0f3851269d"><td class="memItemLeft" align="right" valign="top">static void&#160;</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">&#160;</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="memitem:a0ddf1224851353fc92bfbff6f499fa97"><td class="memItemLeft" align="right" valign="top">int&#160;</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">&#160;</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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<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>
<ul>
<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>
<li>Where in quick sort is fast, but still can give you the time complexity of O(n^2) in worst case.</li>
<li>To avoid hitting the time complexity of O(n^2), we use the logic of randomize the selection process of pivot element.</li>
</ul>
<h3><a class="anchor" id="autotoc_md86"></a>
Logic</h3>
<ul>
<li>The logic is pretty simple, the only change is in the partitioning algorithm, which is selecting the pivot element.</li>
<li>Instead of selecting the last or the first element from array for pivot we use a random index to select pivot element.</li>
<li>This avoids hitting the O(n^2) time complexity in practical use cases.</li>
</ul>
<h3><a class="anchor" id="autotoc_md87"></a>
Partition Logic</h3>
<ul>
<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>
</ul>
<h3><a class="anchor" id="autotoc_md88"></a>
Algorithm</h3>
<ul>
<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>
<li>Initialize the pInd (partition index) from the start of the array.</li>
<li>Loop through the array from start to less than end. (from start to &lt; end). (Inside the loop) :-<ul>
<li>Check if the current element (arr[i]) is less than the pivot element in each iteration.</li>
<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>
</ul>
</li>
<li>At the end of the loop, swap the pivot element with partition index element.</li>
<li>Return the partition index from the function.</li>
</ul>
<dl class="section author"><dt>Author</dt><dd><a href="https://github.com/foo290">Nitin Sharma</a> </dd></dl>
</div><h2 class="groupheader">Function Documentation</h2>
<a id="ad79f6a1484c1a421a4a82992f2490564"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ad79f6a1484c1a421a4a82992f2490564">&#9670;&nbsp;</a></span>generateUnsortedArray()</h2>
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template&lt;size_t size&gt; </div>
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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>&lt;int64_t , size&gt; sorting::random_pivot_quick_sort::generateUnsortedArray </td>
<td>(</td>
<td class="paramtype">int64_t&#160;</td>
<td class="paramname"><em>from</em>, </td>
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<td class="paramname"><em>to</em>&#160;</td>
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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>
<table class="tparams">
<tr><td class="paramname">size</td><td>Size of the output array. </td></tr>
</table>
</dd>
</dl>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<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>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>std::array&lt;int64_t , size&gt; Unsorted array of specified size. </dd></dl>
<div class="fragment"><div class="line"><a name="l00140"></a><span class="lineno"> 140</span>&#160; {</div>
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>&#160; <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>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array&lt;int64_t , size&gt;</a> unsortedArray{};</div>
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>&#160; assert(from &lt; to);</div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>&#160; int64_t i = 0;</div>
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>&#160; <span class="keywordflow">while</span> (i &lt; size) {</div>
<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>&#160; 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>&#160; <span class="keywordflow">if</span> (randomNum) {</div>
<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>&#160; unsortedArray[i] = randomNum;</div>
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>&#160; i++;</div>
<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>&#160; }</div>
<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>&#160; }</div>
<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>&#160; <span class="keywordflow">return</span> unsortedArray;</div>
<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>&#160; }</div>
<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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<h2 class="memtitle"><span class="permalink"><a href="#aac5657b4fe2251cd21073f44233f6ea5">&#9670;&nbsp;</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&#160;</td>
<td class="paramname"><em>start</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int64_t&#160;</td>
<td class="paramname"><em>end</em>&#160;</td>
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<td></td>
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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>&#160; {</div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>&#160; <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>&#160; 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>&#160; <span class="keywordflow">return</span> randomPivotIndex;</div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>&#160; }</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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<h2 class="memtitle"><span class="permalink"><a href="#a0ddf1224851353fc92bfbff6f499fa97">&#9670;&nbsp;</a></span>main()</h2>
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<td class="memname">int main </td>
<td>(</td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>argc</em>, </td>
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<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">char *&#160;</td>
<td class="paramname"><em>argv</em>[]&#160;</td>
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<td></td>
<td>)</td>
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<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>&#160; {</div>
<div class="line"><a name="l00295"></a><span class="lineno"> 295</span>&#160; <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>&#160; </div>
<div class="line"><a name="l00297"></a><span class="lineno"> 297</span>&#160; <span class="keyword">const</span> int64_t inputSize = 10;</div>
<div class="line"><a name="l00298"></a><span class="lineno"> 298</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array&lt;int64_t , inputSize&gt;</a> unsorted_array = sorting::random_pivot_quick_sort::generateUnsortedArray&lt;inputSize&gt;(50, 1000);</div>
<div class="line"><a name="l00299"></a><span class="lineno"> 299</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Unsorted array is : &quot;</span> &lt;&lt; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a name="l00300"></a><span class="lineno"> 300</span>&#160; <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>&#160; </div>
<div class="line"><a name="l00302"></a><span class="lineno"> 302</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array&lt;int64_t , inputSize&gt;</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>&#160; unsorted_array, 0,</div>
<div class="line"><a name="l00304"></a><span class="lineno"> 304</span>&#160; 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>&#160; );</div>
<div class="line"><a name="l00306"></a><span class="lineno"> 306</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Sorted array is : &quot;</span> &lt;&lt; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a name="l00307"></a><span class="lineno"> 307</span>&#160; <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>&#160; <span class="keywordflow">return</span> 0;</div>
<div class="line"><a name="l00309"></a><span class="lineno"> 309</span>&#160;}</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&lt; int64_t, size &gt; quickSortRP(std::array&lt; int64_t, size &gt; 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&lt; int64_t, T &gt; 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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<h2 class="memtitle"><span class="permalink"><a href="#a96284b18dfdafdd67085166fc0e43246">&#9670;&nbsp;</a></span>partition()</h2>
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template&lt;size_t size&gt; </div>
<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>&lt;int64_t , <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array</a>&lt;int64_t , size&gt; &gt; 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>&lt; int64_t, size &gt;&#160;</td>
<td class="paramname"><em>arr</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int64_t&#160;</td>
<td class="paramname"><em>start</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int64_t&#160;</td>
<td class="paramname"><em>end</em>&#160;</td>
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<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>&lt;int64_t , std::array&lt;int64_t , size&gt;&gt; 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>&#160; {</div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>&#160; </div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>&#160; 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>&#160; int64_t pInd = start;</div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>&#160; </div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>&#160; <span class="keywordflow">for</span> (int64_t i = start; i &lt; <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>&#160; <span class="keywordflow">if</span> (arr[i] &lt;= pivot) {</div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>&#160; <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>&#160; pInd++;</div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>&#160; }</div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>&#160; }</div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>&#160; <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>&#160; <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>&#160; }</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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<h2 class="memtitle"><span class="permalink"><a href="#ab4669ac90ee144c7d0d51ab50890b6b1">&#9670;&nbsp;</a></span>quickSortRP()</h2>
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template&lt;size_t size&gt; </div>
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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>&lt;int64_t , size&gt; 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>&lt; int64_t, size &gt;&#160;</td>
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<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">
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</dd>
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<dl class="params"><dt>Parameters</dt><dd>
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<dl class="section return"><dt>Returns</dt><dd>std::array&lt;int64_t , size&gt; A fully sorted array in ascending order. </dd></dl>
<div class="fragment"><div class="line"><a name="l00112"></a><span class="lineno"> 112</span>&#160; {</div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>&#160; <span class="keywordflow">if</span> (start &lt; end) {</div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>&#160; </div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>&#160; 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>&#160; </div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>&#160; <span class="comment">// switching the pivot with right most bound.</span></div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/swap.html">std::swap</a>(arr[end], arr[randomIndex]);</div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>&#160; </div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>&#160; int64_t pivotIndex = 0;</div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>&#160; <span class="comment">// getting pivot index and pivot sorted array.</span></div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>&#160; <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>&#160; </div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>&#160; <span class="comment">// Recursively calling</span></div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array</a>&lt;int64_t , arr.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array/size.html">size</a>()&gt; 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>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array</a>&lt;int64_t , arr.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array/size.html">size</a>()&gt; 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>&#160; arr = full_sorted;</div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>&#160; }</div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>&#160; <span class="keywordflow">return</span> arr;</div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>&#160; }</div>
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<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>
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<h2 class="memtitle"><span class="permalink"><a href="#ac3281dc34a9cfd7beb332419b8a0aa10">&#9670;&nbsp;</a></span>showArray()</h2>
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<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>&lt; int64_t, T &gt;&#160;</td>
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<p>Utility function to print the array. </p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
<table class="tparams">
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<dl class="params"><dt>Parameters</dt><dd>
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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>&#160; {</div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>&#160; <span class="keywordflow">for</span> (int64_t i = 0; i &lt; arr.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array/size.html">size</a>(); i++) {</div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>&#160; <a class="codeRef" 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"><a name="l00063"></a><span class="lineno"> 63</span>&#160; }</div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>&#160; }</div>
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<h2 class="memtitle"><span class="permalink"><a href="#aa8dca7b867074164d5f45b0f3851269d">&#9670;&nbsp;</a></span>test()</h2>
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<td class="memname">static void test </td>
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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>&#160; {</div>
<div class="line"><a name="l00284"></a><span class="lineno"> 284</span>&#160; <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>
<div class="line"><a name="l00285"></a><span class="lineno"> 285</span>&#160; tc.<a class="code" href="../../d5/d58/class_test_cases.html#aeabea90c02f9159e4a784bbf736e1e23">runTests</a>();</div>
<div class="line"><a name="l00286"></a><span class="lineno"> 286</span>&#160;}</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>
<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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<a href="#pub-methods">Public Member Functions</a> &#124;
<a href="#pri-methods">Private Member Functions</a> &#124;
<a href="../../d9/d2c/class_test_cases-members.html">List of all members</a> </div>
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<div class="title">TestCases Class Reference</div> </div>
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<p>a class containing the necessary test cases
<a href="../../d5/d58/class_test_cases.html#details">More...</a></p>
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Public Member Functions</h2></td></tr>
<tr class="memitem:aeabea90c02f9159e4a784bbf736e1e23"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d5/d58/class_test_cases.html#aeabea90c02f9159e4a784bbf736e1e23">runTests</a> ()</td></tr>
<tr class="memdesc:aeabea90c02f9159e4a784bbf736e1e23"><td class="mdescLeft">&#160;</td><td class="mdescRight">Executes test cases. <a href="../../d5/d58/class_test_cases.html#aeabea90c02f9159e4a784bbf736e1e23">More...</a><br /></td></tr>
<tr class="separator:aeabea90c02f9159e4a784bbf736e1e23"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ac2636e8b5b9e053374c45bfcf0603008"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d5/d58/class_test_cases.html#ac2636e8b5b9e053374c45bfcf0603008">testCase_1</a> ()</td></tr>
<tr class="memdesc:ac2636e8b5b9e053374c45bfcf0603008"><td class="mdescLeft">&#160;</td><td class="mdescRight">A test case with single input. <a href="../../d5/d58/class_test_cases.html#ac2636e8b5b9e053374c45bfcf0603008">More...</a><br /></td></tr>
<tr class="separator:ac2636e8b5b9e053374c45bfcf0603008"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:abae0148985f159b582a385cf399254e3"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d5/d58/class_test_cases.html#abae0148985f159b582a385cf399254e3">testCase_2</a> ()</td></tr>
<tr class="memdesc:abae0148985f159b582a385cf399254e3"><td class="mdescLeft">&#160;</td><td class="mdescRight">A test case with input array of length 500. <a href="../../d5/d58/class_test_cases.html#abae0148985f159b582a385cf399254e3">More...</a><br /></td></tr>
<tr class="separator:abae0148985f159b582a385cf399254e3"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ad9f95c09931625b41e3be1f88d1e28c5"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d5/d58/class_test_cases.html#ad9f95c09931625b41e3be1f88d1e28c5">testCase_3</a> ()</td></tr>
<tr class="memdesc:ad9f95c09931625b41e3be1f88d1e28c5"><td class="mdescLeft">&#160;</td><td class="mdescRight">A test case with array of length 1000. <a href="../../d5/d58/class_test_cases.html#ad9f95c09931625b41e3be1f88d1e28c5">More...</a><br /></td></tr>
<tr class="separator:ad9f95c09931625b41e3be1f88d1e28c5"><td class="memSeparator" colspan="2">&#160;</td></tr>
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Private Member Functions</h2></td></tr>
<tr class="memitem:aa3aa3d5bf666f327ee8e2d11d397b06e"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
<tr class="memitem:aa3aa3d5bf666f327ee8e2d11d397b06e"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../d5/d58/class_test_cases.html#aa3aa3d5bf666f327ee8e2d11d397b06e">log</a> (T msg)</td></tr>
<tr class="memdesc:aa3aa3d5bf666f327ee8e2d11d397b06e"><td class="mdescLeft">&#160;</td><td class="mdescRight">A function to print64_t given message on console. <a href="../../d5/d58/class_test_cases.html#aa3aa3d5bf666f327ee8e2d11d397b06e">More...</a><br /></td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p>a class containing the necessary test cases </p>
</div><h2 class="groupheader">Member Function Documentation</h2>
<a id="aa3aa3d5bf666f327ee8e2d11d397b06e"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aa3aa3d5bf666f327ee8e2d11d397b06e">&#9670;&nbsp;</a></span>log()</h2>
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template&lt;typename T &gt; </div>
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<td class="memname">void TestCases::log </td>
<td>(</td>
<td class="paramtype">T&#160;</td>
<td class="paramname"><em>msg</em></td><td>)</td>
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<p>A function to print64_t given message on console. </p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
<table class="tparams">
<tr><td class="paramname">T</td><td>Type of the given message. </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
<div class="fragment"><div class="line"><a name="l00169"></a><span class="lineno"> 169</span>&#160; {</div>
<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>&#160; <span class="comment">// It&#39;s just to avoid writing cout and endl</span></div>
<div class="line"><a name="l00171"></a><span class="lineno"> 171</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;[TESTS] : ---&gt; &quot;</span> &lt;&lt; msg &lt;&lt; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>&#160; }</div>
<div class="ttc" id="abasic_ostream_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a></div></div>
<div class="ttc" id="aendl_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a></div><div class="ttdeci">T endl(T... args)</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#aeabea90c02f9159e4a784bbf736e1e23">&#9670;&nbsp;</a></span>runTests()</h2>
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<td class="memname">void TestCases::runTests </td>
<td>(</td>
<td class="paramname"></td><td>)</td>
<td></td>
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<p>Executes test cases. </p>
<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
<div class="fragment"><div class="line"><a name="l00179"></a><span class="lineno"> 179</span>&#160; {</div>
<div class="line"><a name="l00180"></a><span class="lineno"> 180</span>&#160; <a class="code" href="../../d5/d58/class_test_cases.html#aa3aa3d5bf666f327ee8e2d11d397b06e">log</a>(<span class="stringliteral">&quot;Running Tests...&quot;</span>);</div>
<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>&#160; </div>
<div class="line"><a name="l00182"></a><span class="lineno"> 182</span>&#160; <a class="code" href="../../d5/d58/class_test_cases.html#ac2636e8b5b9e053374c45bfcf0603008">testCase_1</a>();</div>
<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>&#160; <a class="code" href="../../d5/d58/class_test_cases.html#abae0148985f159b582a385cf399254e3">testCase_2</a>();</div>
<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>&#160; <a class="code" href="../../d5/d58/class_test_cases.html#ad9f95c09931625b41e3be1f88d1e28c5">testCase_3</a>();</div>
<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>&#160; </div>
<div class="line"><a name="l00186"></a><span class="lineno"> 186</span>&#160; <a class="code" href="../../d5/d58/class_test_cases.html#aa3aa3d5bf666f327ee8e2d11d397b06e">log</a>(<span class="stringliteral">&quot;Test Cases over!&quot;</span>);</div>
<div class="line"><a name="l00187"></a><span class="lineno"> 187</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a name="l00188"></a><span class="lineno"> 188</span>&#160; }</div>
<div class="ttc" id="aclass_test_cases_html_aa3aa3d5bf666f327ee8e2d11d397b06e"><div class="ttname"><a href="../../d5/d58/class_test_cases.html#aa3aa3d5bf666f327ee8e2d11d397b06e">TestCases::log</a></div><div class="ttdeci">void log(T msg)</div><div class="ttdoc">A function to print64_t given message on console.</div><div class="ttdef"><b>Definition:</b> random_pivot_quick_sort.cpp:169</div></div>
<div class="ttc" id="aclass_test_cases_html_abae0148985f159b582a385cf399254e3"><div class="ttname"><a href="../../d5/d58/class_test_cases.html#abae0148985f159b582a385cf399254e3">TestCases::testCase_2</a></div><div class="ttdeci">void testCase_2()</div><div class="ttdoc">A test case with input array of length 500.</div><div class="ttdef"><b>Definition:</b> random_pivot_quick_sort.cpp:223</div></div>
<div class="ttc" id="aclass_test_cases_html_ac2636e8b5b9e053374c45bfcf0603008"><div class="ttname"><a href="../../d5/d58/class_test_cases.html#ac2636e8b5b9e053374c45bfcf0603008">TestCases::testCase_1</a></div><div class="ttdeci">void testCase_1()</div><div class="ttdoc">A test case with single input.</div><div class="ttdef"><b>Definition:</b> random_pivot_quick_sort.cpp:194</div></div>
<div class="ttc" id="aclass_test_cases_html_ad9f95c09931625b41e3be1f88d1e28c5"><div class="ttname"><a href="../../d5/d58/class_test_cases.html#ad9f95c09931625b41e3be1f88d1e28c5">TestCases::testCase_3</a></div><div class="ttdeci">void testCase_3()</div><div class="ttdoc">A test case with array of length 1000.</div><div class="ttdef"><b>Definition:</b> random_pivot_quick_sort.cpp:252</div></div>
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<td class="memname">void TestCases::testCase_1 </td>
<td>(</td>
<td class="paramname"></td><td>)</td>
<td></td>
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<p>A test case with single input. </p>
<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
<div class="fragment"><div class="line"><a name="l00194"></a><span class="lineno"> 194</span>&#160; {</div>
<div class="line"><a name="l00195"></a><span class="lineno"> 195</span>&#160; <span class="keyword">const</span> int64_t inputSize = 1;</div>
<div class="line"><a name="l00196"></a><span class="lineno"> 196</span>&#160; <a class="code" href="../../d5/d58/class_test_cases.html#aa3aa3d5bf666f327ee8e2d11d397b06e">log</a>(<span class="stringliteral">&quot;~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~&quot;</span>);</div>
<div class="line"><a name="l00197"></a><span class="lineno"> 197</span>&#160; <a class="code" href="../../d5/d58/class_test_cases.html#aa3aa3d5bf666f327ee8e2d11d397b06e">log</a>(<span class="stringliteral">&quot;This is test case 1 for Random Pivot Quick Sort Algorithm : &quot;</span>);</div>
<div class="line"><a name="l00198"></a><span class="lineno"> 198</span>&#160; <a class="code" href="../../d5/d58/class_test_cases.html#aa3aa3d5bf666f327ee8e2d11d397b06e">log</a>(<span class="stringliteral">&quot;Description:&quot;</span>);</div>
<div class="line"><a name="l00199"></a><span class="lineno"> 199</span>&#160; <a class="code" href="../../d5/d58/class_test_cases.html#aa3aa3d5bf666f327ee8e2d11d397b06e">log</a>(<span class="stringliteral">&quot; EDGE CASE : Only contains one element&quot;</span>);</div>
<div class="line"><a name="l00200"></a><span class="lineno"> 200</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array&lt;int64_t , inputSize&gt;</a> unsorted_arr{2};</div>
<div class="line"><a name="l00201"></a><span class="lineno"> 201</span>&#160; </div>
<div class="line"><a name="l00202"></a><span class="lineno"> 202</span>&#160; int64_t start = 0;</div>
<div class="line"><a name="l00203"></a><span class="lineno"> 203</span>&#160; int64_t <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/end.html">end</a> = unsorted_arr.size() - 1; <span class="comment">// length - 1</span></div>
<div class="line"><a name="l00204"></a><span class="lineno"> 204</span>&#160; </div>
<div class="line"><a name="l00205"></a><span class="lineno"> 205</span>&#160; <a class="code" href="../../d5/d58/class_test_cases.html#aa3aa3d5bf666f327ee8e2d11d397b06e">log</a>(<span class="stringliteral">&quot;Running algorithm of data of length 50 ...&quot;</span>);</div>
<div class="line"><a name="l00206"></a><span class="lineno"> 206</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array</a>&lt;int64_t , unsorted_arr.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array/size.html">size</a>()&gt; sorted_arr = <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="l00207"></a><span class="lineno"> 207</span>&#160; unsorted_arr, start, end</div>
<div class="line"><a name="l00208"></a><span class="lineno"> 208</span>&#160; );</div>
<div class="line"><a name="l00209"></a><span class="lineno"> 209</span>&#160; <a class="code" href="../../d5/d58/class_test_cases.html#aa3aa3d5bf666f327ee8e2d11d397b06e">log</a>(<span class="stringliteral">&quot;Algorithm finished!&quot;</span>);</div>
<div class="line"><a name="l00210"></a><span class="lineno"> 210</span>&#160; </div>
<div class="line"><a name="l00211"></a><span class="lineno"> 211</span>&#160; <a class="code" href="../../d5/d58/class_test_cases.html#aa3aa3d5bf666f327ee8e2d11d397b06e">log</a>(<span class="stringliteral">&quot;Checking assert expression...&quot;</span>);</div>
<div class="line"><a name="l00212"></a><span class="lineno"> 212</span>&#160; assert(<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/is_sorted.html">std::is_sorted</a>(sorted_arr.begin(), sorted_arr.end()));</div>
<div class="line"><a name="l00213"></a><span class="lineno"> 213</span>&#160; <a class="code" href="../../d5/d58/class_test_cases.html#aa3aa3d5bf666f327ee8e2d11d397b06e">log</a>(<span class="stringliteral">&quot;Assertion check passed!&quot;</span>);</div>
<div class="line"><a name="l00214"></a><span class="lineno"> 214</span>&#160; </div>
<div class="line"><a name="l00215"></a><span class="lineno"> 215</span>&#160; <a class="code" href="../../d5/d58/class_test_cases.html#aa3aa3d5bf666f327ee8e2d11d397b06e">log</a>(<span class="stringliteral">&quot;[PASS] : TEST CASE 1 PASS!&quot;</span>);</div>
<div class="line"><a name="l00216"></a><span class="lineno"> 216</span>&#160; <a class="code" href="../../d5/d58/class_test_cases.html#aa3aa3d5bf666f327ee8e2d11d397b06e">log</a>(<span class="stringliteral">&quot;~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~&quot;</span>);</div>
<div class="line"><a name="l00217"></a><span class="lineno"> 217</span>&#160; }</div>
<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="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>
<div class="ttc" id="ais_sorted_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/algorithm/is_sorted.html">std::is_sorted</a></div><div class="ttdeci">T is_sorted(T... args)</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&lt; int64_t, size &gt; quickSortRP(std::array&lt; int64_t, size &gt; 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="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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<h2 class="memtitle"><span class="permalink"><a href="#abae0148985f159b582a385cf399254e3">&#9670;&nbsp;</a></span>testCase_2()</h2>
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<p>A test case with input array of length 500. </p>
<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
<div class="fragment"><div class="line"><a name="l00223"></a><span class="lineno"> 223</span>&#160; {</div>
<div class="line"><a name="l00224"></a><span class="lineno"> 224</span>&#160; <span class="keyword">const</span> int64_t inputSize = 500;</div>
<div class="line"><a name="l00225"></a><span class="lineno"> 225</span>&#160; <a class="code" href="../../d5/d58/class_test_cases.html#aa3aa3d5bf666f327ee8e2d11d397b06e">log</a>(<span class="stringliteral">&quot;~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~&quot;</span>);</div>
<div class="line"><a name="l00226"></a><span class="lineno"> 226</span>&#160; <a class="code" href="../../d5/d58/class_test_cases.html#aa3aa3d5bf666f327ee8e2d11d397b06e">log</a>(<span class="stringliteral">&quot;Description:&quot;</span>);</div>
<div class="line"><a name="l00227"></a><span class="lineno"> 227</span>&#160; <a class="code" href="../../d5/d58/class_test_cases.html#aa3aa3d5bf666f327ee8e2d11d397b06e">log</a>(<span class="stringliteral">&quot; BIG INPUT : Contains 500 elements and repeated elements&quot;</span>);</div>
<div class="line"><a name="l00228"></a><span class="lineno"> 228</span>&#160; <a class="code" href="../../d5/d58/class_test_cases.html#aa3aa3d5bf666f327ee8e2d11d397b06e">log</a>(<span class="stringliteral">&quot;This is test case 2 for Random Pivot Quick Sort Algorithm : &quot;</span>);</div>
<div class="line"><a name="l00229"></a><span class="lineno"> 229</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array&lt;int64_t , inputSize&gt;</a> unsorted_arr = sorting::random_pivot_quick_sort::generateUnsortedArray&lt;inputSize&gt;(1, 10000);</div>
<div class="line"><a name="l00230"></a><span class="lineno"> 230</span>&#160; </div>
<div class="line"><a name="l00231"></a><span class="lineno"> 231</span>&#160; int64_t start = 0;</div>
<div class="line"><a name="l00232"></a><span class="lineno"> 232</span>&#160; int64_t <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/end.html">end</a> = unsorted_arr.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array/size.html">size</a>() - 1; <span class="comment">// length - 1</span></div>
<div class="line"><a name="l00233"></a><span class="lineno"> 233</span>&#160; </div>
<div class="line"><a name="l00234"></a><span class="lineno"> 234</span>&#160; <a class="code" href="../../d5/d58/class_test_cases.html#aa3aa3d5bf666f327ee8e2d11d397b06e">log</a>(<span class="stringliteral">&quot;Running algorithm of data of length 500 ...&quot;</span>);</div>
<div class="line"><a name="l00235"></a><span class="lineno"> 235</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array</a>&lt;int64_t , unsorted_arr.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array/size.html">size</a>()&gt; sorted_arr = <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="l00236"></a><span class="lineno"> 236</span>&#160; unsorted_arr, start, end</div>
<div class="line"><a name="l00237"></a><span class="lineno"> 237</span>&#160; );</div>
<div class="line"><a name="l00238"></a><span class="lineno"> 238</span>&#160; <a class="code" href="../../d5/d58/class_test_cases.html#aa3aa3d5bf666f327ee8e2d11d397b06e">log</a>(<span class="stringliteral">&quot;Algorithm finished!&quot;</span>);</div>
<div class="line"><a name="l00239"></a><span class="lineno"> 239</span>&#160; </div>
<div class="line"><a name="l00240"></a><span class="lineno"> 240</span>&#160; <a class="code" href="../../d5/d58/class_test_cases.html#aa3aa3d5bf666f327ee8e2d11d397b06e">log</a>(<span class="stringliteral">&quot;Checking assert expression...&quot;</span>);</div>
<div class="line"><a name="l00241"></a><span class="lineno"> 241</span>&#160; assert(<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/is_sorted.html">std::is_sorted</a>(sorted_arr.begin(), sorted_arr.end()));</div>
<div class="line"><a name="l00242"></a><span class="lineno"> 242</span>&#160; <a class="code" href="../../d5/d58/class_test_cases.html#aa3aa3d5bf666f327ee8e2d11d397b06e">log</a>(<span class="stringliteral">&quot;Assertion check passed!&quot;</span>);</div>
<div class="line"><a name="l00243"></a><span class="lineno"> 243</span>&#160; </div>
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<div class="line"><a name="l00246"></a><span class="lineno"> 246</span>&#160; }</div>
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<h2 class="memtitle"><span class="permalink"><a href="#ad9f95c09931625b41e3be1f88d1e28c5">&#9670;&nbsp;</a></span>testCase_3()</h2>
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<td class="memname">void TestCases::testCase_3 </td>
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<p>A test case with array of length 1000. </p>
<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
<div class="fragment"><div class="line"><a name="l00252"></a><span class="lineno"> 252</span>&#160; {</div>
<div class="line"><a name="l00253"></a><span class="lineno"> 253</span>&#160; <span class="keyword">const</span> int64_t inputSize = 1000;</div>
<div class="line"><a name="l00254"></a><span class="lineno"> 254</span>&#160; <a class="code" href="../../d5/d58/class_test_cases.html#aa3aa3d5bf666f327ee8e2d11d397b06e">log</a>(<span class="stringliteral">&quot;~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~&quot;</span>);</div>
<div class="line"><a name="l00255"></a><span class="lineno"> 255</span>&#160; <a class="code" href="../../d5/d58/class_test_cases.html#aa3aa3d5bf666f327ee8e2d11d397b06e">log</a>(<span class="stringliteral">&quot;This is test case 3 for Random Pivot Quick Sort Algorithm : &quot;</span>);</div>
<div class="line"><a name="l00256"></a><span class="lineno"> 256</span>&#160; <a class="code" href="../../d5/d58/class_test_cases.html#aa3aa3d5bf666f327ee8e2d11d397b06e">log</a>(<span class="stringliteral">&quot;Description:&quot;</span>);</div>
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<div class="line"><a name="l00258"></a><span class="lineno"> 258</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array&lt;int64_t , inputSize&gt;</a> unsorted_arr = sorting::random_pivot_quick_sort::generateUnsortedArray&lt;inputSize&gt;(1, 10000);</div>
<div class="line"><a name="l00259"></a><span class="lineno"> 259</span>&#160; </div>
<div class="line"><a name="l00260"></a><span class="lineno"> 260</span>&#160; int64_t start = 0;</div>
<div class="line"><a name="l00261"></a><span class="lineno"> 261</span>&#160; int64_t <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/end.html">end</a> = unsorted_arr.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array/size.html">size</a>() - 1; <span class="comment">// length - 1</span></div>
<div class="line"><a name="l00262"></a><span class="lineno"> 262</span>&#160; </div>
<div class="line"><a name="l00263"></a><span class="lineno"> 263</span>&#160; <a class="code" href="../../d5/d58/class_test_cases.html#aa3aa3d5bf666f327ee8e2d11d397b06e">log</a>(<span class="stringliteral">&quot;Running algorithm...&quot;</span>);</div>
<div class="line"><a name="l00264"></a><span class="lineno"> 264</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array</a>&lt;int64_t , unsorted_arr.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array/size.html">size</a>()&gt; sorted_arr = <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="l00265"></a><span class="lineno"> 265</span>&#160; unsorted_arr, start, end</div>
<div class="line"><a name="l00266"></a><span class="lineno"> 266</span>&#160; );</div>
<div class="line"><a name="l00267"></a><span class="lineno"> 267</span>&#160; <a class="code" href="../../d5/d58/class_test_cases.html#aa3aa3d5bf666f327ee8e2d11d397b06e">log</a>(<span class="stringliteral">&quot;Algorithm finished!&quot;</span>);</div>
<div class="line"><a name="l00268"></a><span class="lineno"> 268</span>&#160; </div>
<div class="line"><a name="l00269"></a><span class="lineno"> 269</span>&#160; <a class="code" href="../../d5/d58/class_test_cases.html#aa3aa3d5bf666f327ee8e2d11d397b06e">log</a>(<span class="stringliteral">&quot;Checking assert expression...&quot;</span>);</div>
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<div class="line"><a name="l00272"></a><span class="lineno"> 272</span>&#160; </div>
<div class="line"><a name="l00273"></a><span class="lineno"> 273</span>&#160; <a class="code" href="../../d5/d58/class_test_cases.html#aa3aa3d5bf666f327ee8e2d11d397b06e">log</a>(<span class="stringliteral">&quot;[PASS] : TEST CASE 3 PASS!&quot;</span>);</div>
<div class="line"><a name="l00274"></a><span class="lineno"> 274</span>&#160; <a class="code" href="../../d5/d58/class_test_cases.html#aa3aa3d5bf666f327ee8e2d11d397b06e">log</a>(<span class="stringliteral">&quot;~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~&quot;</span>);</div>
<div class="line"><a name="l00275"></a><span class="lineno"> 275</span>&#160; }</div>
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<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/sorting/quick_sort_3.cpp">Quick Sort 3</a></li>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/sorting/radix_sort.cpp">Radix Sort</a></li>
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<div class="title">random_pivot_quick_sort Namespace Reference</div> </div>
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<p>Functions for the <a href="https://www.sanfoundry.com/cpp-program-implement-quick-sort-using-randomisation">Random Pivot Quick Sort</a> implementation.
<a href="../../de/d6b/namespacerandom__pivot__quick__sort.html#details">More...</a></p>
<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p>Functions for the <a href="https://www.sanfoundry.com/cpp-program-implement-quick-sort-using-randomisation">Random Pivot Quick Sort</a> implementation. </p>
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, <a class="el" href="d1/daa/random__pivot__quick__sort_8cpp.html#a0ddf1224851353fc92bfbff6f499fa97">random_pivot_quick_sort.cpp</a>
, <a class="el" href="d3/df9/recursive__bubble__sort_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">recursive_bubble_sort.cpp</a>
, <a class="el" href="d4/d7a/shell__sort2_8cpp.html#a0ddf1224851353fc92bfbff6f499fa97">shell_sort2.cpp</a>
, <a class="el" href="dc/dd9/strand__sort_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">strand_sort.cpp</a>

6
globals_func_s.html
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@@ -126,12 +126,12 @@ $(document).ready(function(){initNavTree('globals_func_s.html',''); initResizabl
<li>show_pascal()
: <a class="el" href="dc/d1a/pascal__triangle_8cpp.html#ad7a31d9cb2818d21b1ba12aead7f4c5c">pascal_triangle.cpp</a>
</li>
<li>sieve()
: <a class="el" href="d8/ddf/sieve__of__eratosthenes_8cpp.html#a60fa6579eab0db3c1c0ab1bf6d651be3">sieve_of_eratosthenes.cpp</a>
</li>
<li>Sieve()
: <a class="el" href="d4/d9c/primes__up__to__billion_8cpp.html#a031cada84819ed6426f58e4f7e81261c">primes_up_to_billion.cpp</a>
</li>
<li>sieve()
: <a class="el" href="d8/ddf/sieve__of__eratosthenes_8cpp.html#a60fa6579eab0db3c1c0ab1bf6d651be3">sieve_of_eratosthenes.cpp</a>
</li>
<li>SieveOfEratosthenes()
: <a class="el" href="db/d0d/prime__factorization_8cpp.html#affe577b9bce8f604f5e2f861c63c7099">prime_factorization.cpp</a>
</li>

1
globals_func_t.html
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@@ -151,6 +151,7 @@ $(document).ready(function(){initNavTree('globals_func_t.html',''); initResizabl
, <a class="el" href="d2/d52/heap__sort_8cpp.html#ae1a3968e7947464bee7714f6d43b7002">heap_sort.cpp</a>
, <a class="el" href="de/d7b/merge__insertion__sort_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">merge_insertion_sort.cpp</a>
, <a class="el" href="d3/d92/pancake__sort_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">pancake_sort.cpp</a>
, <a class="el" href="d1/daa/random__pivot__quick__sort_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">random_pivot_quick_sort.cpp</a>
, <a class="el" href="d3/df9/recursive__bubble__sort_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">recursive_bubble_sort.cpp</a>
, <a class="el" href="dc/dd9/strand__sort_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">strand_sort.cpp</a>
, <a class="el" href="d5/d4c/group__sorting.html#gaa8dca7b867074164d5f45b0f3851269d">wiggle_sort.cpp</a>

8
globals_i.html
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@@ -127,14 +127,14 @@ $(document).ready(function(){initNavTree('globals_i.html',''); initResizable();
<li>is_square()
: <a class="el" href="dc/d38/ordinary__least__squares__regressor_8cpp.html#a4921874435266592b222e3f2eda0e01f">ordinary_least_squares_regressor.cpp</a>
</li>
<li>isprime
: <a class="el" href="db/d0d/prime__factorization_8cpp.html#a7fe38b570a51e448430d6a0f072c2f23">prime_factorization.cpp</a>
<li>IsPrime()
: <a class="el" href="da/d7b/primality__test_8cpp.html#a2bfa6adead2bdcbf1dac94cbe08d7eaf">primality_test.cpp</a>
</li>
<li>isPrime()
: <a class="el" href="d8/d53/modular__inverse__fermat__little__theorem_8cpp.html#a09660096b134753128952246f4f4e4bd">modular_inverse_fermat_little_theorem.cpp</a>
</li>
<li>IsPrime()
: <a class="el" href="da/d7b/primality__test_8cpp.html#a2bfa6adead2bdcbf1dac94cbe08d7eaf">primality_test.cpp</a>
<li>isprime
: <a class="el" href="db/d0d/prime__factorization_8cpp.html#a7fe38b570a51e448430d6a0f072c2f23">prime_factorization.cpp</a>
</li>
<li>it_ternary_search()
: <a class="el" href="dc/dfe/ternary__search_8cpp.html#ae30dfe2894191bfeffe5b3b1854b95b0">ternary_search.cpp</a>

1
globals_m.html
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@@ -267,6 +267,7 @@ $(document).ready(function(){initNavTree('globals_m.html',''); initResizable();
, <a class="el" href="d1/d21/quick__sort_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">quick_sort.cpp</a>
, <a class="el" href="d3/d4c/quick__sort__3_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">quick_sort_3.cpp</a>
, <a class="el" href="d8/d61/radix__sort2_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">radix_sort2.cpp</a>
, <a class="el" href="d1/daa/random__pivot__quick__sort_8cpp.html#a0ddf1224851353fc92bfbff6f499fa97">random_pivot_quick_sort.cpp</a>
, <a class="el" href="d3/df9/recursive__bubble__sort_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">recursive_bubble_sort.cpp</a>
, <a class="el" href="d4/d7a/shell__sort2_8cpp.html#a0ddf1224851353fc92bfbff6f499fa97">shell_sort2.cpp</a>
, <a class="el" href="dc/dd9/strand__sort_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">strand_sort.cpp</a>

6
globals_s.html
View File

@@ -126,12 +126,12 @@ $(document).ready(function(){initNavTree('globals_s.html',''); initResizable();
<li>show_pascal()
: <a class="el" href="dc/d1a/pascal__triangle_8cpp.html#ad7a31d9cb2818d21b1ba12aead7f4c5c">pascal_triangle.cpp</a>
</li>
<li>sieve()
: <a class="el" href="d8/ddf/sieve__of__eratosthenes_8cpp.html#a60fa6579eab0db3c1c0ab1bf6d651be3">sieve_of_eratosthenes.cpp</a>
</li>
<li>Sieve()
: <a class="el" href="d4/d9c/primes__up__to__billion_8cpp.html#a031cada84819ed6426f58e4f7e81261c">primes_up_to_billion.cpp</a>
</li>
<li>sieve()
: <a class="el" href="d8/ddf/sieve__of__eratosthenes_8cpp.html#a60fa6579eab0db3c1c0ab1bf6d651be3">sieve_of_eratosthenes.cpp</a>
</li>
<li>SieveOfEratosthenes()
: <a class="el" href="db/d0d/prime__factorization_8cpp.html#affe577b9bce8f604f5e2f861c63c7099">prime_factorization.cpp</a>
</li>

1
globals_t.html
View File

@@ -151,6 +151,7 @@ $(document).ready(function(){initNavTree('globals_t.html',''); initResizable();
, <a class="el" href="d2/d52/heap__sort_8cpp.html#ae1a3968e7947464bee7714f6d43b7002">heap_sort.cpp</a>
, <a class="el" href="de/d7b/merge__insertion__sort_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">merge_insertion_sort.cpp</a>
, <a class="el" href="d3/d92/pancake__sort_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">pancake_sort.cpp</a>
, <a class="el" href="d1/daa/random__pivot__quick__sort_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">random_pivot_quick_sort.cpp</a>
, <a class="el" href="d3/df9/recursive__bubble__sort_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">recursive_bubble_sort.cpp</a>
, <a class="el" href="dc/dd9/strand__sort_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">strand_sort.cpp</a>
, <a class="el" href="d5/d4c/group__sorting.html#gaa8dca7b867074164d5f45b0f3851269d">wiggle_sort.cpp</a>

37
hierarchy.html
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@@ -167,24 +167,25 @@ This inheritance list is sorted roughly, but not completely, alphabetically:</di
<tr id="row_64_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d2/dc4/classstack__linked_list.html" target="_self">stack_linkedList</a></td><td class="desc"></td></tr>
<tr id="row_65_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d7/d7c/classstatistics_1_1stats__computer1.html" target="_self">statistics::stats_computer1&lt; T &gt;</a></td><td class="desc"></td></tr>
<tr id="row_66_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d8/dab/classstatistics_1_1stats__computer2.html" target="_self">statistics::stats_computer2&lt; T &gt;</a></td><td class="desc"></td></tr>
<tr id="row_67_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d0/d5f/classoperations__on__datastructures_1_1trie__operations_1_1_tnode.html" target="_self">operations_on_datastructures::trie_operations::Tnode</a></td><td class="desc">Class defining the structure of trie node and containing the methods to perform operations on them </td></tr>
<tr id="row_68_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d2/d2c/structtower.html" target="_self">tower</a></td><td class="desc"></td></tr>
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<tr id="row_69_0_" class="even"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html" target="_self">range_queries::heavy_light_decomposition::HLD&lt; X &gt;</a></td><td class="desc">The Heavy-Light Decomposition class </td></tr>
<tr id="row_70_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d3/d95/classdata__structures_1_1tree__234_1_1_tree234.html" target="_self">data_structures::tree_234::Tree234</a></td><td class="desc">2-3-4 tree class </td></tr>
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<tr id="row_72_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d3/d26/classdata__structures_1_1trie__using__hashmap_1_1_trie.html" target="_self">data_structures::trie_using_hashmap::Trie</a></td><td class="desc"><a class="el" href="d3/d26/classdata__structures_1_1trie__using__hashmap_1_1_trie.html" title="Trie class, implementation of trie using hashmap in each trie node for all the characters of char16_t...">Trie</a> class, implementation of trie using hashmap in each trie node for all the characters of char16_t(UTF-16)type with methods to insert, delete, search, start with and to recommend words based on a given prefix </td></tr>
<tr id="row_73_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="dd/d2f/class_trie.html" target="_self">Trie</a></td><td class="desc"></td></tr>
<tr id="row_74_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="de/d48/struct_trie_1_1_trie_node.html" target="_self">Trie::TrieNode</a></td><td class="desc"></td></tr>
<tr id="row_75_" class="even"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_75_" class="arrow" onclick="toggleFolder('75_')">&#9660;</span><span class="icona"><span class="icon">C</span></span><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/types/integral_constant.html">std::true_type</a>&#160;[external]</td><td class="desc"></td></tr>
<tr id="row_75_0_"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d2/dfc/structstd_1_1is__arithmetic_3_01uint128__t_01_4.html" target="_self">std::is_arithmetic&lt; uint128_t &gt;</a></td><td class="desc"></td></tr>
<tr id="row_75_1_" class="even"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="dc/d6d/structstd_1_1is__arithmetic_3_01uint256__t_01_4.html" target="_self">std::is_arithmetic&lt; uint256_t &gt;</a></td><td class="desc"></td></tr>
<tr id="row_75_2_"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d2/dd4/structstd_1_1is__integral_3_01uint128__t_01_4.html" target="_self">std::is_integral&lt; uint128_t &gt;</a></td><td class="desc"></td></tr>
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<tr id="row_75_4_"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d5/d25/structstd_1_1is__unsigned_3_01uint128__t_01_4.html" target="_self">std::is_unsigned&lt; uint128_t &gt;</a></td><td class="desc"></td></tr>
<tr id="row_75_5_" class="even"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="df/d99/structstd_1_1is__unsigned_3_01uint256__t_01_4.html" target="_self">std::is_unsigned&lt; uint256_t &gt;</a></td><td class="desc"></td></tr>
<tr id="row_76_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="db/d9a/classuint128__t.html" target="_self">uint128_t</a></td><td class="desc">Class for 128-bit unsigned integer </td></tr>
<tr id="row_77_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d1/d83/classuint256__t.html" target="_self">uint256_t</a></td><td class="desc">Class for 256-bit unsigned integer </td></tr>
<tr id="row_67_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d5/d58/class_test_cases.html" target="_self">TestCases</a></td><td class="desc">Class containing the necessary test cases </td></tr>
<tr id="row_68_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d0/d5f/classoperations__on__datastructures_1_1trie__operations_1_1_tnode.html" target="_self">operations_on_datastructures::trie_operations::Tnode</a></td><td class="desc">Class defining the structure of trie node and containing the methods to perform operations on them </td></tr>
<tr id="row_69_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d2/d2c/structtower.html" target="_self">tower</a></td><td class="desc"></td></tr>
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<tr id="row_76_3_"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d7/d47/structstd_1_1is__integral_3_01uint256__t_01_4.html" target="_self">std::is_integral&lt; uint256_t &gt;</a></td><td class="desc"></td></tr>
<tr id="row_76_4_" class="even"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d5/d25/structstd_1_1is__unsigned_3_01uint128__t_01_4.html" target="_self">std::is_unsigned&lt; uint128_t &gt;</a></td><td class="desc"></td></tr>
<tr id="row_76_5_"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="df/d99/structstd_1_1is__unsigned_3_01uint256__t_01_4.html" target="_self">std::is_unsigned&lt; uint256_t &gt;</a></td><td class="desc"></td></tr>
<tr id="row_77_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="db/d9a/classuint128__t.html" target="_self">uint128_t</a></td><td class="desc">Class for 128-bit unsigned integer </td></tr>
<tr id="row_78_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d1/d83/classuint256__t.html" target="_self">uint256_t</a></td><td class="desc">Class for 256-bit unsigned integer </td></tr>
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@@ -354,12 +354,12 @@ $(document).ready(function(){initNavTree('namespacemembers_func.html',''); initR
<li>quadraticProbe()
: <a class="el" href="d4/dd2/namespacequadratic__probing.html#ab431981b54c0bae1b2956f716aee1dcf">quadratic_probing</a>
</li>
<li>quickSort()
: <a class="el" href="d5/d91/namespacesorting.html#a50b66a1c652291b9a346ec7342967178">sorting</a>
</li>
<li>quicksort()
: <a class="el" href="d5/d91/namespacesorting.html#a9f59fe72dacc1f1218ef3c303d843168">sorting</a>
</li>
<li>quickSort()
: <a class="el" href="d5/d91/namespacesorting.html#a50b66a1c652291b9a346ec7342967178">sorting</a>
</li>
</ul>

85
namespaces.html
View File

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<tr id="row_57_0_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="da/dd1/structquadratic__probing_1_1_entry.html" target="_self">Entry</a></td><td class="desc"></td></tr>
<tr id="row_58_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d9/d70/namespacequeue__using__array.html" target="_self">queue_using_array</a></td><td class="desc">Functions for <a href="https://www.geeksforgeeks.org/array-implementation-of-queue-simple/">Queue using Array</a> implementation </td></tr>
<tr id="row_59_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="da/dda/namespaceradix__sort.html" target="_self">radix_sort</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Radix_sort">Radix sort</a> algorithm </td></tr>
<tr id="row_60_" class="even"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_60_" class="arrow" onclick="toggleFolder('60_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="dd/d69/namespacerange__queries.html" target="_self">range_queries</a></td><td class="desc">Algorithms and Data Structures that support range queries and updates </td></tr>
<tr id="row_60_0_" style="display:none;"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span id="arr_60_0_" class="arrow" onclick="toggleFolder('60_0_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><b>heavy_light_decomposition</b></td><td class="desc"></td></tr>
<tr id="row_60_0_0_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html" target="_self">Tree</a></td><td class="desc">A Basic <a class="el" href="d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html" title="A Basic Tree, which supports binary lifting.">Tree</a>, which supports binary lifting </td></tr>
<tr id="row_60_0_1_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d9/d35/classrange__queries_1_1heavy__light__decomposition_1_1_s_g.html" target="_self">SG</a></td><td class="desc">Segment <a class="el" href="d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html" title="A Basic Tree, which supports binary lifting.">Tree</a>, to store heavy chains </td></tr>
<tr id="row_60_0_2_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html" target="_self">HLD</a></td><td class="desc">The Heavy-Light Decomposition class </td></tr>
<tr id="row_60_1_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><b>sparse_table</b></td><td class="desc"></td></tr>
<tr id="row_60_2_" style="display:none;"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span id="arr_60_2_" class="arrow" onclick="toggleFolder('60_2_')">&#9658;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d8/d28/classrange__queries_1_1per_seg_tree.html" target="_self">perSegTree</a></td><td class="desc">Range query here is range sum, but the code can be modified to make different queries like range max or min </td></tr>
<tr id="row_60_2_0_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d5/d66/classrange__queries_1_1per_seg_tree_1_1_node.html" target="_self">Node</a></td><td class="desc"></td></tr>
<tr id="row_61_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d9/d60/namespacerat__maze.html" target="_self">rat_maze</a></td><td class="desc">Functions for &lt;a href="https://www.codesdope.com/blog/article/backtracking-to-
<tr id="row_60_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="de/d6b/namespacerandom__pivot__quick__sort.html" target="_self">random_pivot_quick_sort</a></td><td class="desc">Functions for the <a href="https://www.sanfoundry.com/cpp-program-implement-quick-sort-using-randomisation">Random Pivot Quick Sort</a> implementation </td></tr>
<tr id="row_61_"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_61_" class="arrow" onclick="toggleFolder('61_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="dd/d69/namespacerange__queries.html" target="_self">range_queries</a></td><td class="desc">Algorithms and Data Structures that support range queries and updates </td></tr>
<tr id="row_61_0_" class="even" style="display:none;"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span id="arr_61_0_" class="arrow" onclick="toggleFolder('61_0_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><b>heavy_light_decomposition</b></td><td class="desc"></td></tr>
<tr id="row_61_0_0_" class="even" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html" target="_self">Tree</a></td><td class="desc">A Basic <a class="el" href="d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html" title="A Basic Tree, which supports binary lifting.">Tree</a>, which supports binary lifting </td></tr>
<tr id="row_61_0_1_" class="even" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d9/d35/classrange__queries_1_1heavy__light__decomposition_1_1_s_g.html" target="_self">SG</a></td><td class="desc">Segment <a class="el" href="d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html" title="A Basic Tree, which supports binary lifting.">Tree</a>, to store heavy chains </td></tr>
<tr id="row_61_0_2_" class="even" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html" target="_self">HLD</a></td><td class="desc">The Heavy-Light Decomposition class </td></tr>
<tr id="row_61_1_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><b>sparse_table</b></td><td class="desc"></td></tr>
<tr id="row_61_2_" class="even" style="display:none;"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span id="arr_61_2_" class="arrow" onclick="toggleFolder('61_2_')">&#9658;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d8/d28/classrange__queries_1_1per_seg_tree.html" target="_self">perSegTree</a></td><td class="desc">Range query here is range sum, but the code can be modified to make different queries like range max or min </td></tr>
<tr id="row_61_2_0_" class="even" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d5/d66/classrange__queries_1_1per_seg_tree_1_1_node.html" target="_self">Node</a></td><td class="desc"></td></tr>
<tr id="row_62_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d9/d60/namespacerat__maze.html" target="_self">rat_maze</a></td><td class="desc">Functions for &lt;a href="https://www.codesdope.com/blog/article/backtracking-to-
solve-a-rat-in-a-maze-c-java-pytho/" </td></tr>
<tr id="row_62_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d2/de7/namespacerunge__kutta.html" target="_self">runge_kutta</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Runge%E2%80%93Kutta_methods">Runge Kutta fourth order</a> method </td></tr>
<tr id="row_63_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d0/dda/namespacesaddleback.html" target="_self">saddleback</a></td><td class="desc">Function for implementing <a href="https://www.geeksforgeeks.org/saddleback-search-algorithm-in-a-2d-array">Saddleback Algorithm</a> </td></tr>
<tr id="row_64_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d9/dca/namespacesearch.html" target="_self">search</a></td><td class="desc">Search algorithms </td></tr>
<tr id="row_65_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d3/deb/namespaceshortest__common__supersequence.html" target="_self">shortest_common_supersequence</a></td><td class="desc">Shortest Common Super Sequence algorithm </td></tr>
<tr id="row_66_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d5/d91/namespacesorting.html" target="_self">sorting</a></td><td class="desc">Sorting algorithms </td></tr>
<tr id="row_67_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d9/d55/namespacesparse__table.html" target="_self">sparse_table</a></td><td class="desc">Functions for Implementation of <a href="https://brilliant.org/wiki/sparse-table/">Sparse Table</a> </td></tr>
<tr id="row_68_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="da/dd3/namespacespirograph.html" target="_self">spirograph</a></td><td class="desc"></td></tr>
<tr id="row_69_"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_69_" class="arrow" onclick="toggleFolder('69_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d2/dcf/namespacestatistics.html" target="_self">statistics</a></td><td class="desc">Statistical algorithms </td></tr>
<tr id="row_69_0_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d7/d7c/classstatistics_1_1stats__computer1.html" target="_self">stats_computer1</a></td><td class="desc"></td></tr>
<tr id="row_69_1_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d8/dab/classstatistics_1_1stats__computer2.html" target="_self">stats_computer2</a></td><td class="desc"></td></tr>
<tr id="row_70_" class="even"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_70_" class="arrow" onclick="toggleFolder('70_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d8/dcc/namespacestd.html" target="_self">std</a></td><td class="desc">STL namespace </td></tr>
<tr id="row_70_0_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><b>chrono</b></td><td class="desc"></td></tr>
<tr id="row_70_1_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><b>experimental</b></td><td class="desc"></td></tr>
<tr id="row_70_2_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><b>rel_ops</b></td><td class="desc"></td></tr>
<tr id="row_70_3_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><b>this_thread</b></td><td class="desc"></td></tr>
<tr id="row_70_4_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d2/dd4/structstd_1_1is__integral_3_01uint128__t_01_4.html" target="_self">is_integral&lt; uint128_t &gt;</a></td><td class="desc"></td></tr>
<tr id="row_70_5_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d2/dfc/structstd_1_1is__arithmetic_3_01uint128__t_01_4.html" target="_self">is_arithmetic&lt; uint128_t &gt;</a></td><td class="desc"></td></tr>
<tr id="row_70_6_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d5/d25/structstd_1_1is__unsigned_3_01uint128__t_01_4.html" target="_self">is_unsigned&lt; uint128_t &gt;</a></td><td class="desc"></td></tr>
<tr id="row_70_7_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d7/d47/structstd_1_1is__integral_3_01uint256__t_01_4.html" target="_self">is_integral&lt; uint256_t &gt;</a></td><td class="desc"></td></tr>
<tr id="row_70_8_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="dc/d6d/structstd_1_1is__arithmetic_3_01uint256__t_01_4.html" target="_self">is_arithmetic&lt; uint256_t &gt;</a></td><td class="desc"></td></tr>
<tr id="row_70_9_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="df/d99/structstd_1_1is__unsigned_3_01uint256__t_01_4.html" target="_self">is_unsigned&lt; uint256_t &gt;</a></td><td class="desc"></td></tr>
<tr id="row_71_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d8/d1d/namespacestrand.html" target="_self">strand</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Strand_sort">Strand Sort</a> algorithm </td></tr>
<tr id="row_72_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d9/d03/namespacestring__search.html" target="_self">string_search</a></td><td class="desc">String search algorithms </td></tr>
<tr id="row_73_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="df/dcb/namespacestrings.html" target="_self">strings</a></td><td class="desc">Algorithms with strings </td></tr>
<tr id="row_74_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d6/dab/namespacetree__234.html" target="_self">tree_234</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/2%E2%80%933%E2%80%934_tree">2–3–4 tree</a> </td></tr>
<tr id="row_75_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="df/d8e/namespacetrie__operations.html" target="_self">trie_operations</a></td><td class="desc">Functions for <a href="https://iq.opengenus.org/autocomplete-using-trie-data-structure/">Trie datastructure</a> implementation </td></tr>
<tr id="row_76_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d7/d0a/namespacetrie__using__hashmap.html" target="_self">trie_using_hashmap</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Trie">Trie</a> data structure using hashmap implementation </td></tr>
<tr id="row_77_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d3/d17/namespaceutil__functions.html" target="_self">util_functions</a></td><td class="desc">Various utility functions used in Neural network </td></tr>
<tr id="row_78_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d4/d91/namespacevector__cross.html" target="_self">vector_cross</a></td><td class="desc">Functions for Vector Cross Product algorithms </td></tr>
<tr id="row_79_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d6/da2/namespacevigenere.html" target="_self">vigenere</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Vigen%C3%A8re_cipher">vigenère cipher</a> algorithm </td></tr>
<tr id="row_80_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d0/d52/namespacewiggle__sort.html" target="_self">wiggle_sort</a></td><td class="desc">Functions for <a href="https://leetcode.com/problems/wiggle-sort-ii/">Wiggle Sort</a> algorithm </td></tr>
<tr id="row_81_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d6/d53/namespaceword__break.html" target="_self">word_break</a></td><td class="desc">Functions for <a href="https://leetcode.com/problems/word-break/">Word Break</a> problem </td></tr>
<tr id="row_82_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d7/d47/namespace_x_o_r.html" target="_self">XOR</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/XOR_cipher">XOR cipher</a> algorithm </td></tr>
<tr id="row_63_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d2/de7/namespacerunge__kutta.html" target="_self">runge_kutta</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Runge%E2%80%93Kutta_methods">Runge Kutta fourth order</a> method </td></tr>
<tr id="row_64_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d0/dda/namespacesaddleback.html" target="_self">saddleback</a></td><td class="desc">Function for implementing <a href="https://www.geeksforgeeks.org/saddleback-search-algorithm-in-a-2d-array">Saddleback Algorithm</a> </td></tr>
<tr id="row_65_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d9/dca/namespacesearch.html" target="_self">search</a></td><td class="desc">Search algorithms </td></tr>
<tr id="row_66_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d3/deb/namespaceshortest__common__supersequence.html" target="_self">shortest_common_supersequence</a></td><td class="desc">Shortest Common Super Sequence algorithm </td></tr>
<tr id="row_67_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d5/d91/namespacesorting.html" target="_self">sorting</a></td><td class="desc">Sorting algorithms </td></tr>
<tr id="row_68_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d9/d55/namespacesparse__table.html" target="_self">sparse_table</a></td><td class="desc">Functions for Implementation of <a href="https://brilliant.org/wiki/sparse-table/">Sparse Table</a> </td></tr>
<tr id="row_69_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="da/dd3/namespacespirograph.html" target="_self">spirograph</a></td><td class="desc"></td></tr>
<tr id="row_70_" class="even"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_70_" class="arrow" onclick="toggleFolder('70_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d2/dcf/namespacestatistics.html" target="_self">statistics</a></td><td class="desc">Statistical algorithms </td></tr>
<tr id="row_70_0_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d7/d7c/classstatistics_1_1stats__computer1.html" target="_self">stats_computer1</a></td><td class="desc"></td></tr>
<tr id="row_70_1_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d8/dab/classstatistics_1_1stats__computer2.html" target="_self">stats_computer2</a></td><td class="desc"></td></tr>
<tr id="row_71_"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_71_" class="arrow" onclick="toggleFolder('71_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d8/dcc/namespacestd.html" target="_self">std</a></td><td class="desc">STL namespace </td></tr>
<tr id="row_71_0_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><b>chrono</b></td><td class="desc"></td></tr>
<tr id="row_71_1_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><b>experimental</b></td><td class="desc"></td></tr>
<tr id="row_71_2_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><b>rel_ops</b></td><td class="desc"></td></tr>
<tr id="row_71_3_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><b>this_thread</b></td><td class="desc"></td></tr>
<tr id="row_71_4_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d2/dd4/structstd_1_1is__integral_3_01uint128__t_01_4.html" target="_self">is_integral&lt; uint128_t &gt;</a></td><td class="desc"></td></tr>
<tr id="row_71_5_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d2/dfc/structstd_1_1is__arithmetic_3_01uint128__t_01_4.html" target="_self">is_arithmetic&lt; uint128_t &gt;</a></td><td class="desc"></td></tr>
<tr id="row_71_6_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d5/d25/structstd_1_1is__unsigned_3_01uint128__t_01_4.html" target="_self">is_unsigned&lt; uint128_t &gt;</a></td><td class="desc"></td></tr>
<tr id="row_71_7_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d7/d47/structstd_1_1is__integral_3_01uint256__t_01_4.html" target="_self">is_integral&lt; uint256_t &gt;</a></td><td class="desc"></td></tr>
<tr id="row_71_8_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="dc/d6d/structstd_1_1is__arithmetic_3_01uint256__t_01_4.html" target="_self">is_arithmetic&lt; uint256_t &gt;</a></td><td class="desc"></td></tr>
<tr id="row_71_9_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="df/d99/structstd_1_1is__unsigned_3_01uint256__t_01_4.html" target="_self">is_unsigned&lt; uint256_t &gt;</a></td><td class="desc"></td></tr>
<tr id="row_72_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d8/d1d/namespacestrand.html" target="_self">strand</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Strand_sort">Strand Sort</a> algorithm </td></tr>
<tr id="row_73_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d9/d03/namespacestring__search.html" target="_self">string_search</a></td><td class="desc">String search algorithms </td></tr>
<tr id="row_74_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="df/dcb/namespacestrings.html" target="_self">strings</a></td><td class="desc">Algorithms with strings </td></tr>
<tr id="row_75_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d6/dab/namespacetree__234.html" target="_self">tree_234</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/2%E2%80%933%E2%80%934_tree">2–3–4 tree</a> </td></tr>
<tr id="row_76_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="df/d8e/namespacetrie__operations.html" target="_self">trie_operations</a></td><td class="desc">Functions for <a href="https://iq.opengenus.org/autocomplete-using-trie-data-structure/">Trie datastructure</a> implementation </td></tr>
<tr id="row_77_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d7/d0a/namespacetrie__using__hashmap.html" target="_self">trie_using_hashmap</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Trie">Trie</a> data structure using hashmap implementation </td></tr>
<tr id="row_78_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d3/d17/namespaceutil__functions.html" target="_self">util_functions</a></td><td class="desc">Various utility functions used in Neural network </td></tr>
<tr id="row_79_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d4/d91/namespacevector__cross.html" target="_self">vector_cross</a></td><td class="desc">Functions for Vector Cross Product algorithms </td></tr>
<tr id="row_80_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d6/da2/namespacevigenere.html" target="_self">vigenere</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Vigen%C3%A8re_cipher">vigenère cipher</a> algorithm </td></tr>
<tr id="row_81_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d0/d52/namespacewiggle__sort.html" target="_self">wiggle_sort</a></td><td class="desc">Functions for <a href="https://leetcode.com/problems/wiggle-sort-ii/">Wiggle Sort</a> algorithm </td></tr>
<tr id="row_82_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d6/d53/namespaceword__break.html" target="_self">word_break</a></td><td class="desc">Functions for <a href="https://leetcode.com/problems/word-break/">Word Break</a> problem </td></tr>
<tr id="row_83_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d7/d47/namespace_x_o_r.html" target="_self">XOR</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/XOR_cipher">XOR cipher</a> algorithm </td></tr>
</table>
</div><!-- directory -->
</div><!-- contents -->

8
namespaces_dup.js
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