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<p><a href="https://en.wikipedia.org/wiki/Heapsort">Heap Sort Algorithm (heap sort)</a> implementation
<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;iostream&gt;</code><br />
</div><div class="textblock"><div class="dynheader">
Include dependency graph for heap_sort.cpp:</div>
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Functions</h2></td></tr>
<tr class="memitem:a9ed3e1510afdf3edd06cf2b68769a767"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
<tr class="memitem:a9ed3e1510afdf3edd06cf2b68769a767"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../d2/d52/heap__sort_8cpp.html#a9ed3e1510afdf3edd06cf2b68769a767">printArray</a> (T *arr, int sz)</td></tr>
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template&lt;typename T &gt; </td></tr>
<tr class="memitem:gabd9a93f241c5c86f2ec0abf8b66b4145"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><b>heapify</b> (T *arr, int n, int i)</td></tr>
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<tr class="memitem:ga29d28b140174dbdde7c9f5157758435f"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../d5/d4c/group__sorting.html#ga29d28b140174dbdde7c9f5157758435f">heapSort</a> (T *arr, int n)</td></tr>
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<tr class="memitem:ae1a3968e7947464bee7714f6d43b7002"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d2/d52/heap__sort_8cpp.html#ae1a3968e7947464bee7714f6d43b7002">test</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="../../d2/d52/heap__sort_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><a href="https://en.wikipedia.org/wiki/Heapsort">Heap Sort Algorithm (heap sort)</a> implementation </p>
<dl class="section author"><dt>Author</dt><dd><a href="http://github.com/ayaankhan98">Ayaan Khan</a></dd></dl>
<p>Heap-sort is a comparison-based sorting algorithm. Heap-sort can be thought of as an improved selection sort: like selection sort, heap sort divides its input into a sorted and an unsorted region, and it iteratively shrinks the unsorted region by extracting the largest element from it and inserting it into the sorted region. Unlike selection sort, heap sort does not waste time with a linear-time scan of the unsorted region; rather, heap sort maintains the unsorted region in a heap data structure to more quickly find the largest element in each step.</p>
<p>Time Complexity - \(O(n \log(n))\) </p>
</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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<td class="memname">int main </td>
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<p>Main function </p>
<div class="fragment"><div class="line"><a name="l00120"></a><span class="lineno"> 120</span>&#160; {</div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>&#160; <a class="code" href="../../d2/d52/heap__sort_8cpp.html#ae1a3968e7947464bee7714f6d43b7002">test</a>();</div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>&#160; <span class="keywordflow">return</span> 0;</div>
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>&#160;}</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a9ed3e1510afdf3edd06cf2b68769a767">&#9670;&nbsp;</a></span>printArray()</h2>
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template&lt;typename T &gt; </div>
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<td class="memname">void printArray </td>
<td>(</td>
<td class="paramtype">T *&#160;</td>
<td class="paramname"><em>arr</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>sz</em>&#160;</td>
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<td>)</td>
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<p>Utility Lambda function to print the array after sorting.</p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">arr</td><td>array to be printed </td></tr>
<tr><td class="paramname">sz</td><td>size of array </td></tr>
</table>
</dd>
</dl>
<div class="fragment"><div class="line"><a name="l00037"></a><span class="lineno"> 37</span>&#160; {</div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; sz; i++) <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="l00039"></a><span class="lineno"> 39</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;\n&quot;</span>;</div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>&#160;}</div>
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<h2 class="memtitle"><span class="permalink"><a href="#ae1a3968e7947464bee7714f6d43b7002">&#9670;&nbsp;</a></span>test()</h2>
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<td class="memname">void test </td>
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<p>Test cases to test the program </p>
<div class="fragment"><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/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Test 1\n&quot;</span>;</div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>&#160; <span class="keywordtype">int</span> arr[] = {-10, 78, -1, -6, 7, 4, 94, 5, 99, 0};</div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>&#160; <span class="keywordtype">int</span> sz = <span class="keyword">sizeof</span>(arr) / <span class="keyword">sizeof</span>(arr[0]); <span class="comment">// sz - size of array</span></div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>&#160; <a class="code" href="../../d2/d52/heap__sort_8cpp.html#a9ed3e1510afdf3edd06cf2b68769a767">printArray</a>(arr, sz); <span class="comment">// displaying the array before sorting</span></div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>&#160; <a class="code" href="../../d5/d4c/group__sorting.html#ga29d28b140174dbdde7c9f5157758435f">heapSort</a>(arr, sz); <span class="comment">// calling heapsort to sort the array</span></div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>&#160; <a class="code" href="../../d2/d52/heap__sort_8cpp.html#a9ed3e1510afdf3edd06cf2b68769a767">printArray</a>(arr, sz); <span class="comment">// display array after sorting</span></div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>&#160; assert(<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/is_sorted.html">std::is_sorted</a>(arr, arr + sz));</div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</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 1 Passed\n========================\n&quot;</span>;</div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>&#160; </div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</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 2\n&quot;</span>;</div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>&#160; <span class="keywordtype">double</span> arr2[] = {4.5, -3.6, 7.6, 0, 12.9};</div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>&#160; sz = <span class="keyword">sizeof</span>(arr2) / <span class="keyword">sizeof</span>(arr2[0]);</div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>&#160; <a class="code" href="../../d2/d52/heap__sort_8cpp.html#a9ed3e1510afdf3edd06cf2b68769a767">printArray</a>(arr2, sz);</div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>&#160; <a class="code" href="../../d5/d4c/group__sorting.html#ga29d28b140174dbdde7c9f5157758435f">heapSort</a>(arr2, sz);</div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>&#160; <a class="code" href="../../d2/d52/heap__sort_8cpp.html#a9ed3e1510afdf3edd06cf2b68769a767">printArray</a>(arr2, sz);</div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>&#160; assert(<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/is_sorted.html">std::is_sorted</a>(arr2, arr2 + sz));</div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</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 2 passed\n&quot;</span>;</div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>&#160;}</div>
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<div class="ttc" id="aheap__sort_8cpp_html_ae1a3968e7947464bee7714f6d43b7002"><div class="ttname"><a href="../../d2/d52/heap__sort_8cpp.html#ae1a3968e7947464bee7714f6d43b7002">test</a></div><div class="ttdeci">void test()</div><div class="ttdef"><b>Definition:</b> heap_sort.cpp:99</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>
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