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<p>Implementation Details.
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &lt;algorithm&gt;</code><br />
<code>#include &lt;cassert&gt;</code><br />
<code>#include &lt;ctime&gt;</code><br />
<code>#include &lt;iostream&gt;</code><br />
<code>#include &lt;vector&gt;</code><br />
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Namespaces</h2></td></tr>
<tr class="memitem:d5/d91/namespacesorting"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d5/d91/namespacesorting.html">sorting</a></td></tr>
<tr class="memdesc:d5/d91/namespacesorting"><td class="mdescLeft">&#160;</td><td class="mdescRight">Sorting algorithms. <br /></td></tr>
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Functions</h2></td></tr>
<tr class="memitem:a9f59fe72dacc1f1218ef3c303d843168"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
<tr class="memitem:a9f59fe72dacc1f1218ef3c303d843168"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../d5/d91/namespacesorting.html#a9f59fe72dacc1f1218ef3c303d843168">sorting::quicksort</a> (<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; T &gt; *arr, int32_t low, int32_t high)</td></tr>
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<tr class="memitem:a9d4eb6ea3c35540d804d451f1716622d"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
<tr class="memitem:a9d4eb6ea3c35540d804d451f1716622d"><td class="memTemplItemLeft" align="right" valign="top"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../d5/d91/namespacesorting.html#a9d4eb6ea3c35540d804d451f1716622d">sorting::quicksort</a> (<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; T &gt; arr, int32_t low, int32_t high)</td></tr>
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<tr class="memitem:a07e5c62de28aeddea986890ce7ac1bda"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d4c/quick__sort__3_8cpp.html#a07e5c62de28aeddea986890ce7ac1bda">test_int</a> ()</td></tr>
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<tr class="memitem:a2635b04ad943fa28b7bbf8d1e6479792"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d4c/quick__sort__3_8cpp.html#a2635b04ad943fa28b7bbf8d1e6479792">test_double</a> ()</td></tr>
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<tr class="memitem:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d4c/quick__sort__3_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a> ()</td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p>Implementation Details. </p>
<p>Quick sort 3 works on Dutch National Flag Algorithm The major difference between simple quicksort and quick sort 3 comes in the function partition3 In quick_sort_partition3 we divide the vector/array into 3 parts. quick sort 3 works faster in some cases as compared to simple quicksort. </p><dl class="section author"><dt>Author</dt><dd>immortal-j </dd>
<dd>
<a href="https://github/kvedala">Krishna Vedala</a> </dd></dl>
</div><h2 class="groupheader">Function Documentation</h2>
<a id="ae66f6b31b5ad750f1fe042a706a4e3d4"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ae66f6b31b5ad750f1fe042a706a4e3d4">&#9670;&nbsp;</a></span>main()</h2>
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<p>Driver program for above functions </p>
<div class="fragment"><div class="line"><a name="l00183"></a><span class="lineno"> 183</span>&#160; {</div>
<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/random/srand.html">std::srand</a>(<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/chrono/c/time.html">std::time</a>(<span class="keyword">nullptr</span>));</div>
<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>&#160; <a class="code" href="../../d3/d4c/quick__sort__3_8cpp.html#a07e5c62de28aeddea986890ce7ac1bda">test_int</a>();</div>
<div class="line"><a name="l00186"></a><span class="lineno"> 186</span>&#160; <a class="code" href="../../d3/d4c/quick__sort__3_8cpp.html#a2635b04ad943fa28b7bbf8d1e6479792">test_double</a>();</div>
<div class="line"><a name="l00187"></a><span class="lineno"> 187</span>&#160; <span class="keywordflow">return</span> 0;</div>
<div class="line"><a name="l00188"></a><span class="lineno"> 188</span>&#160;}</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a2635b04ad943fa28b7bbf8d1e6479792">&#9670;&nbsp;</a></span>test_double()</h2>
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<p>Test function for double type arrays </p>
<div class="fragment"><div class="line"><a name="l00160"></a><span class="lineno"> 160</span>&#160; {</div>
<div class="line"><a name="l00161"></a><span class="lineno"> 161</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;\nTesting Double type arrays\n&quot;</span>;</div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> num_tests = 1; num_tests &lt; 21; num_tests++) {</div>
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>&#160; <span class="keywordtype">size_t</span> size = <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/random/rand.html">std::rand</a>() % 500;</div>
<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;double&gt;</a> arr(size);</div>
<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">auto</span> &amp;a : arr) {</div>
<div class="line"><a name="l00166"></a><span class="lineno"> 166</span>&#160; a = double(<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/random/rand.html">std::rand</a>() % 500) -</div>
<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>&#160; 250.f; <span class="comment">// random numbers between -250, 249</span></div>
<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>&#160; a /= 100.f; <span class="comment">// convert to -2.5 to 2.49</span></div>
<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; </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;Test &quot;</span> &lt;&lt; num_tests &lt;&lt; <span class="stringliteral">&quot;\t Array size:&quot;</span> &lt;&lt; size &lt;&lt; <span class="stringliteral">&quot;\t &quot;</span>;</div>
<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;double&gt;</a> sorted = <a class="code" href="../../d5/d91/namespacesorting.html#a9f59fe72dacc1f1218ef3c303d843168">sorting::quicksort</a>(arr, 0, size - 1);</div>
<div class="line"><a name="l00173"></a><span class="lineno"> 173</span>&#160; <span class="keywordflow">if</span> (size &lt; 20) {</div>
<div class="line"><a name="l00174"></a><span class="lineno"> 174</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;\t Sorted Array is:\n\t&quot;</span>;</div>
<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; sorted &lt;&lt; <span class="stringliteral">&quot;\n&quot;</span>;</div>
<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>&#160; }</div>
<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>&#160; assert(<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/is_sorted.html">std::is_sorted</a>(<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/begin.html">std::begin</a>(sorted), <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/end.html">std::end</a>(sorted)));</div>
<div class="line"><a name="l00178"></a><span class="lineno"> 178</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;\t Passed\n&quot;</span>;</div>
<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;}</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a07e5c62de28aeddea986890ce7ac1bda">&#9670;&nbsp;</a></span>test_int()</h2>
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<td class="memname">static void test_int </td>
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<p>Test function for integer type arrays </p>
<div class="fragment"><div class="line"><a name="l00138"></a><span class="lineno"> 138</span>&#160; {</div>
<div class="line"><a name="l00139"></a><span class="lineno"> 139</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;\nTesting integer type arrays\n&quot;</span>;</div>
<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; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> num_tests = 1; num_tests &lt; 21; num_tests++) {</div>
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>&#160; <span class="keywordtype">size_t</span> size = <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/random/rand.html">std::rand</a>() % 500;</div>
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;int&gt;</a> arr(size);</div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">auto</span> &amp;a : arr) {</div>
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>&#160; a = <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/random/rand.html">std::rand</a>() % 500 - 250; <span class="comment">// random numbers between -250, 249</span></div>
<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>&#160; }</div>
<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>&#160; </div>
<div class="line"><a name="l00148"></a><span class="lineno"> 148</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;Test &quot;</span> &lt;&lt; num_tests &lt;&lt; <span class="stringliteral">&quot;\t Array size:&quot;</span> &lt;&lt; size &lt;&lt; <span class="stringliteral">&quot;\t &quot;</span>;</div>
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;int&gt;</a> sorted = <a class="code" href="../../d5/d91/namespacesorting.html#a9f59fe72dacc1f1218ef3c303d843168">sorting::quicksort</a>(arr, 0, size - 1);</div>
<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>&#160; <span class="keywordflow">if</span> (size &lt; 20) {</div>
<div class="line"><a name="l00151"></a><span class="lineno"> 151</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;\t Sorted Array is:\n\t&quot;</span>;</div>
<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; sorted &lt;&lt; <span class="stringliteral">&quot;\n&quot;</span>;</div>
<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>&#160; }</div>
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>&#160; assert(<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/is_sorted.html">std::is_sorted</a>(<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/begin.html">std::begin</a>(sorted), <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/end.html">std::end</a>(sorted)));</div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</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;\t Passed\n&quot;</span>;</div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>&#160; }</div>
<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>&#160;}</div>
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<div class="textblock"><p>Sorting algorithms. </p>
<p>Sorting Algorithms.</p>
<p>Sorting algorithms </p>
</div><h2 class="groupheader">Function Documentation</h2>
<a id="a70a6a99d554280c326f80355c4d2c494"></a>
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<p>3-way partition based quick sort. This function accepts array pointer and modified the input array. </p><dl class="tparams"><dt>Template Parameters</dt><dd>
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<p>3-way partition based quick sort. This function accepts array by value and creates a copy of it. The array copy gets sorted and returned by the function. </p><dl class="tparams"><dt>Template Parameters</dt><dd>
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<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>&#160; </div>
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, <a class="el" href="da/df2/durand__kerner__roots_8cpp.html#a0283886819c7c140a023582b7269e2d0">durand_kerner_roots.cpp</a>
</li>
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: <a class="el" href="db/d01/brent__method__extrema_8cpp.html#a6d0455dd5c30adda100e95f0423c786e">brent_method_extrema.cpp</a>
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<li>test_circle()
: <a class="el" href="d9/d49/kohonen__som__trace_8cpp.html#ab47fb569e63648bd76e7edfdacc02dbd">kohonen_som_trace.cpp</a>
</li>
<li>test_double()
: <a class="el" href="d3/d4c/quick__sort__3_8cpp.html#a2635b04ad943fa28b7bbf8d1e6479792">quick_sort_3.cpp</a>
</li>
<li>test_f()
: <a class="el" href="d4/d7a/shell__sort2_8cpp.html#a22ea0d1f7943ebb4371d31e44b465b6d">shell_sort2.cpp</a>
</li>
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: <a class="el" href="d4/d7a/shell__sort2_8cpp.html#a895b313cb2671e8f712040460325573e">shell_sort2.cpp</a>
, <a class="el" href="d3/d4c/quick__sort__3_8cpp.html#a07e5c62de28aeddea986890ce7ac1bda">quick_sort_3.cpp</a>
</li>
<li>test_lamniscate()
: <a class="el" href="d9/d49/kohonen__som__trace_8cpp.html#a412b7afa156306b1f8788643c91a1c60">kohonen_som_trace.cpp</a>
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: <a class="el" href="d3/d7d/brute__force__string__searching_8cpp.html#ae2abaa9caa13fff35e45edca00bee123">brute_force_string_searching.cpp</a>
</li>
<li>tests()
: <a class="el" href="d5/d67/complex__numbers_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">complex_numbers.cpp</a>
, <a class="el" href="d4/d21/least__common__multiple_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">least_common_multiple.cpp</a>
, <a class="el" href="d7/d89/double__factorial_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">double_factorial.cpp</a>
, <a class="el" href="d6/d42/miller__rabin_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">miller_rabin.cpp</a>
: <a class="el" href="d9/dfd/comb__sort_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">comb_sort.cpp</a>
, <a class="el" href="dd/d0d/insertion__sort_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">insertion_sort.cpp</a>
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, <a class="el" href="d4/d21/least__common__multiple_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">least_common_multiple.cpp</a>
, <a class="el" href="d6/d42/miller__rabin_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">miller_rabin.cpp</a>
, <a class="el" href="d5/d67/complex__numbers_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">complex_numbers.cpp</a>
</li>
<li>TH()
: <a class="el" href="db/d3c/tower__of__hanoi_8cpp.html#ab037f72a5eac476535a6cfbbcb965417">tower_of_hanoi.cpp</a>

3
namespacemembers.html
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: <a class="el" href="d2/d3b/namespaceqr__algorithm.html#ab1ac74497ffb2101040cc1efe3546de8">qr_algorithm</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>

3
namespacemembers_func.html
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: <a class="el" href="d2/d3b/namespaceqr__algorithm.html#ab1ac74497ffb2101040cc1efe3546de8">qr_algorithm</a>
</li>
<li>quicksort()
: <a class="el" href="d5/d91/namespacesorting.html#a9f59fe72dacc1f1218ef3c303d843168">sorting</a>
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<li>quickSort()
: <a class="el" href="d5/d91/namespacesorting.html#a50b66a1c652291b9a346ec7342967178">sorting</a>
</li>

8
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34
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14
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