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<tr class="memitem:aa7f726cc6327955d22871592227432f5" id="r_aa7f726cc6327955d22871592227432f5"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#aa7f726cc6327955d22871592227432f5">decreaseKey</a> (int i, int new_val)</td></tr>
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<tr class="memitem:a336ac71f0d857269fe9a98058a3cd130" id="r_a336ac71f0d857269fe9a98058a3cd130"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a336ac71f0d857269fe9a98058a3cd130">getMin</a> ()</td></tr>
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<tr class="memitem:a37ac126eabb0c3ce04047172abccca29" id="r_a37ac126eabb0c3ce04047172abccca29"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a37ac126eabb0c3ce04047172abccca29">deleteKey</a> (int i)</td></tr>
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Private Attributes</h2></td></tr>
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int *&#160;</td><td class="memItemRight" valign="bottom"><b>harr</b></td></tr>
<tr class="memdesc:a34a93a87967308eb516328c0aca3c48e"><td class="mdescLeft">&#160;</td><td class="mdescRight">pointer to array of elements in heap <br /></td></tr>
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int&#160;</td><td class="memItemRight" valign="bottom"><b>capacity</b></td></tr>
<tr class="memdesc:a88b4aa3e66392a3eabbf2517a9a79a02"><td class="mdescLeft">&#160;</td><td class="mdescRight">maximum possible size of min heap <br /></td></tr>
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int&#160;</td><td class="memItemRight" valign="bottom"><b>heap_size</b></td></tr>
<tr class="memdesc:ae4d358bf063bb196a1945b3fb99b4913"><td class="mdescLeft">&#160;</td><td class="mdescRight">Current number of elements in min heap. <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 for Min Heap </p>
</div><h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
<a id="a078cb888e642bb1f95dd0e03f0a35820" name="a078cb888e642bb1f95dd0e03f0a35820"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a078cb888e642bb1f95dd0e03f0a35820">&#9670;&#160;</a></span>MinHeap()</h2>
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<td class="memname">MinHeap::MinHeap </td>
<td>(</td>
<td class="paramtype">int</td> <td class="paramname"><span class="paramname"><em>cap</em></span></td><td>)</td>
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<p>Constructor: Builds a heap from a given array a[] of given size </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramdir">[in]</td><td class="paramname">capacity</td><td>initial heap capacity </td></tr>
</table>
</dd>
</dl>
<div class="fragment"><div class="line"><span class="lineno"> 19</span> {</div>
<div class="line"><span class="lineno"> 20</span> <a class="code hl_variable" href="#ae4d358bf063bb196a1945b3fb99b4913">heap_size</a> = 0;</div>
<div class="line"><span class="lineno"> 21</span> <a class="code hl_variable" href="#a88b4aa3e66392a3eabbf2517a9a79a02">capacity</a> = cap;</div>
<div class="line"><span class="lineno"> 22</span> <a class="code hl_variable" href="#a34a93a87967308eb516328c0aca3c48e">harr</a> = <span class="keyword">new</span> <span class="keywordtype">int</span>[cap];</div>
<div class="line"><span class="lineno"> 23</span> }</div>
<div class="ttc" id="aclass_min_heap_html_a34a93a87967308eb516328c0aca3c48e"><div class="ttname"><a href="#a34a93a87967308eb516328c0aca3c48e">MinHeap::harr</a></div><div class="ttdeci">int * harr</div><div class="ttdoc">pointer to array of elements in heap</div><div class="ttdef"><b>Definition</b> binaryheap.cpp:11</div></div>
<div class="ttc" id="aclass_min_heap_html_a88b4aa3e66392a3eabbf2517a9a79a02"><div class="ttname"><a href="#a88b4aa3e66392a3eabbf2517a9a79a02">MinHeap::capacity</a></div><div class="ttdeci">int capacity</div><div class="ttdoc">maximum possible size of min heap</div><div class="ttdef"><b>Definition</b> binaryheap.cpp:12</div></div>
<div class="ttc" id="aclass_min_heap_html_ae4d358bf063bb196a1945b3fb99b4913"><div class="ttname"><a href="#ae4d358bf063bb196a1945b3fb99b4913">MinHeap::heap_size</a></div><div class="ttdeci">int heap_size</div><div class="ttdoc">Current number of elements in min heap.</div><div class="ttdef"><b>Definition</b> binaryheap.cpp:13</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#a2759e717e45edcd6ca7096ff03d65dbd">&#9670;&#160;</a></span>~MinHeap()</h2>
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<td class="memname">MinHeap::~MinHeap </td>
<td>(</td>
<td class="paramname"><span class="paramname"><em></em></span></td><td>)</td>
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<div class="fragment"><div class="line"><span class="lineno"> 51</span>{ <span class="keyword">delete</span>[] <a class="code hl_variable" href="#a34a93a87967308eb516328c0aca3c48e">harr</a>; }</div>
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<h2 class="groupheader">Member Function Documentation</h2>
<a id="aa7f726cc6327955d22871592227432f5" name="aa7f726cc6327955d22871592227432f5"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aa7f726cc6327955d22871592227432f5">&#9670;&#160;</a></span>decreaseKey()</h2>
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<td class="memname">void MinHeap::decreaseKey </td>
<td>(</td>
<td class="paramtype">int</td> <td class="paramname"><span class="paramname"><em>i</em></span>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int</td> <td class="paramname"><span class="paramname"><em>new_val</em></span>&#160;)</td>
</tr>
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<p>Decreases key value of key at index i to new_val</p>
<p>Decreases value of key at index 'i' to new_val. It is assumed that new_val is smaller than harr[i]. </p>
<div class="fragment"><div class="line"><span class="lineno"> 76</span> {</div>
<div class="line"><span class="lineno"> 77</span> <a class="code hl_variable" href="#a34a93a87967308eb516328c0aca3c48e">harr</a>[i] = new_val;</div>
<div class="line"><span class="lineno"> 78</span> <span class="keywordflow">while</span> (i != 0 &amp;&amp; <a class="code hl_variable" href="#a34a93a87967308eb516328c0aca3c48e">harr</a>[parent(i)] &gt; <a class="code hl_variable" href="#a34a93a87967308eb516328c0aca3c48e">harr</a>[i]) {</div>
<div class="line"><span class="lineno"> 79</span> <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/swap.html">std::swap</a>(<a class="code hl_variable" href="#a34a93a87967308eb516328c0aca3c48e">harr</a>[i], <a class="code hl_variable" href="#a34a93a87967308eb516328c0aca3c48e">harr</a>[parent(i)]);</div>
<div class="line"><span class="lineno"> 80</span> i = parent(i);</div>
<div class="line"><span class="lineno"> 81</span> }</div>
<div class="line"><span class="lineno"> 82</span>}</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="#a37ac126eabb0c3ce04047172abccca29">&#9670;&#160;</a></span>deleteKey()</h2>
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<td class="memname">void MinHeap::deleteKey </td>
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<td class="paramtype">int</td> <td class="paramname"><span class="paramname"><em>i</em></span></td><td>)</td>
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<p>Deletes a key stored at index i</p>
<p>This function deletes key at index i. It first reduced value to minus infinite, then calls <a class="el" href="#a4014f1edaed0bd7db0c0d2ca53228980">extractMin()</a> </p>
<div class="fragment"><div class="line"><span class="lineno"> 105</span> {</div>
<div class="line"><span class="lineno"> 106</span> <a class="code hl_function" href="#aa7f726cc6327955d22871592227432f5">decreaseKey</a>(i, INT_MIN);</div>
<div class="line"><span class="lineno"> 107</span> <a class="code hl_function" href="#a4014f1edaed0bd7db0c0d2ca53228980">extractMin</a>();</div>
<div class="line"><span class="lineno"> 108</span>}</div>
<div class="ttc" id="aclass_min_heap_html_a4014f1edaed0bd7db0c0d2ca53228980"><div class="ttname"><a href="#a4014f1edaed0bd7db0c0d2ca53228980">MinHeap::extractMin</a></div><div class="ttdeci">int extractMin()</div><div class="ttdef"><b>Definition</b> binaryheap.cpp:85</div></div>
<div class="ttc" id="aclass_min_heap_html_aa7f726cc6327955d22871592227432f5"><div class="ttname"><a href="#aa7f726cc6327955d22871592227432f5">MinHeap::decreaseKey</a></div><div class="ttdeci">void decreaseKey(int i, int new_val)</div><div class="ttdef"><b>Definition</b> binaryheap.cpp:76</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#a4014f1edaed0bd7db0c0d2ca53228980">&#9670;&#160;</a></span>extractMin()</h2>
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<td class="memname">int MinHeap::extractMin </td>
<td>(</td>
<td class="paramname"><span class="paramname"><em></em></span></td><td>)</td>
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<p>to extract the root which is the minimum element </p>
<div class="fragment"><div class="line"><span class="lineno"> 85</span> {</div>
<div class="line"><span class="lineno"> 86</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="#ae4d358bf063bb196a1945b3fb99b4913">heap_size</a> &lt;= 0)</div>
<div class="line"><span class="lineno"> 87</span> <span class="keywordflow">return</span> INT_MAX;</div>
<div class="line"><span class="lineno"> 88</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="#ae4d358bf063bb196a1945b3fb99b4913">heap_size</a> == 1) {</div>
<div class="line"><span class="lineno"> 89</span> <a class="code hl_variable" href="#ae4d358bf063bb196a1945b3fb99b4913">heap_size</a>--;</div>
<div class="line"><span class="lineno"> 90</span> <span class="keywordflow">return</span> <a class="code hl_variable" href="#a34a93a87967308eb516328c0aca3c48e">harr</a>[0];</div>
<div class="line"><span class="lineno"> 91</span> }</div>
<div class="line"><span class="lineno"> 92</span> </div>
<div class="line"><span class="lineno"> 93</span> <span class="comment">// Store the minimum value, and remove it from heap</span></div>
<div class="line"><span class="lineno"> 94</span> <span class="keywordtype">int</span> root = <a class="code hl_variable" href="#a34a93a87967308eb516328c0aca3c48e">harr</a>[0];</div>
<div class="line"><span class="lineno"> 95</span> <a class="code hl_variable" href="#a34a93a87967308eb516328c0aca3c48e">harr</a>[0] = <a class="code hl_variable" href="#a34a93a87967308eb516328c0aca3c48e">harr</a>[<a class="code hl_variable" href="#ae4d358bf063bb196a1945b3fb99b4913">heap_size</a> - 1];</div>
<div class="line"><span class="lineno"> 96</span> <a class="code hl_variable" href="#ae4d358bf063bb196a1945b3fb99b4913">heap_size</a>--;</div>
<div class="line"><span class="lineno"> 97</span> <a class="code hl_function" href="#aaef438c1056492cb62c4a4d9035b5cad">MinHeapify</a>(0);</div>
<div class="line"><span class="lineno"> 98</span> </div>
<div class="line"><span class="lineno"> 99</span> <span class="keywordflow">return</span> root;</div>
<div class="line"><span class="lineno"> 100</span>}</div>
<div class="ttc" id="aclass_min_heap_html_aaef438c1056492cb62c4a4d9035b5cad"><div class="ttname"><a href="#aaef438c1056492cb62c4a4d9035b5cad">MinHeap::MinHeapify</a></div><div class="ttdeci">void MinHeapify(int)</div><div class="ttdef"><b>Definition</b> binaryheap.cpp:113</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#a336ac71f0d857269fe9a98058a3cd130">&#9670;&#160;</a></span>getMin()</h2>
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<td class="memname">int MinHeap::getMin </td>
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<p>Returns the minimum key (key at root) from min heap </p>
<div class="fragment"><div class="line"><span class="lineno"> 43</span>{ <span class="keywordflow">return</span> <a class="code hl_variable" href="#a34a93a87967308eb516328c0aca3c48e">harr</a>[0]; }</div>
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<h2 class="memtitle"><span class="permalink"><a href="#aef78f3384f5a0ae880ad0883d2d44b82">&#9670;&#160;</a></span>insertKey()</h2>
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<td class="memname">void MinHeap::insertKey </td>
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<p>Inserts a new key 'k' </p>
<div class="fragment"><div class="line"><span class="lineno"> 55</span> {</div>
<div class="line"><span class="lineno"> 56</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="#ae4d358bf063bb196a1945b3fb99b4913">heap_size</a> == <a class="code hl_variable" href="#a88b4aa3e66392a3eabbf2517a9a79a02">capacity</a>) {</div>
<div class="line"><span class="lineno"> 57</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;\nOverflow: Could not insertKey\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 58</span> <span class="keywordflow">return</span>;</div>
<div class="line"><span class="lineno"> 59</span> }</div>
<div class="line"><span class="lineno"> 60</span> </div>
<div class="line"><span class="lineno"> 61</span> <span class="comment">// First insert the new key at the end</span></div>
<div class="line"><span class="lineno"> 62</span> <a class="code hl_variable" href="#ae4d358bf063bb196a1945b3fb99b4913">heap_size</a>++;</div>
<div class="line"><span class="lineno"> 63</span> <span class="keywordtype">int</span> i = <a class="code hl_variable" href="#ae4d358bf063bb196a1945b3fb99b4913">heap_size</a> - 1;</div>
<div class="line"><span class="lineno"> 64</span> <a class="code hl_variable" href="#a34a93a87967308eb516328c0aca3c48e">harr</a>[i] = <a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a1b74d828b33760094906797042b89442">k</a>;</div>
<div class="line"><span class="lineno"> 65</span> </div>
<div class="line"><span class="lineno"> 66</span> <span class="comment">// Fix the min heap property if it is violated</span></div>
<div class="line"><span class="lineno"> 67</span> <span class="keywordflow">while</span> (i != 0 &amp;&amp; <a class="code hl_variable" href="#a34a93a87967308eb516328c0aca3c48e">harr</a>[parent(i)] &gt; <a class="code hl_variable" href="#a34a93a87967308eb516328c0aca3c48e">harr</a>[i]) {</div>
<div class="line"><span class="lineno"> 68</span> <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/swap.html">std::swap</a>(<a class="code hl_variable" href="#a34a93a87967308eb516328c0aca3c48e">harr</a>[i], <a class="code hl_variable" href="#a34a93a87967308eb516328c0aca3c48e">harr</a>[parent(i)]);</div>
<div class="line"><span class="lineno"> 69</span> i = parent(i);</div>
<div class="line"><span class="lineno"> 70</span> }</div>
<div class="line"><span class="lineno"> 71</span>}</div>
<div class="ttc" id="abasic_ostream_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a></div></div>
<div class="ttc" id="acomposite__simpson__rule_8cpp_html_a1b74d828b33760094906797042b89442"><div class="ttname"><a href="../../d4/d18/composite__simpson__rule_8cpp.html#a1b74d828b33760094906797042b89442">numerical_methods::simpson_method::k</a></div><div class="ttdeci">double k(double x)</div><div class="ttdoc">Another test function.</div><div class="ttdef"><b>Definition</b> composite_simpson_rule.cpp:117</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#aa8c6c141e3de664819686aa637e1afca">&#9670;&#160;</a></span>left()</h2>
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<td class="memname">int MinHeap::left </td>
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<p>to get index of left child of node at index i </p>
<div class="fragment"><div class="line"><span class="lineno"> 31</span>{ <span class="keywordflow">return</span> (2 * i + 1); }</div>
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<h2 class="memtitle"><span class="permalink"><a href="#aaef438c1056492cb62c4a4d9035b5cad">&#9670;&#160;</a></span>MinHeapify()</h2>
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<td class="memname">void MinHeap::MinHeapify </td>
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<p>to heapify a subtree with the root at given index</p>
<p>A recursive method to heapify a subtree with the root at given index This method assumes that the subtrees are already heapified </p>
<div class="fragment"><div class="line"><span class="lineno"> 113</span> {</div>
<div class="line"><span class="lineno"> 114</span> <span class="keywordtype">int</span> <a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a6d8df83a6f26ce24a75d3b358b7f5b8a">l</a> = <a class="code hl_function" href="#aa8c6c141e3de664819686aa637e1afca">left</a>(i);</div>
<div class="line"><span class="lineno"> 115</span> <span class="keywordtype">int</span> r = <a class="code hl_function" href="#ac760b85cf90265b8d674b942a43fb70e">right</a>(i);</div>
<div class="line"><span class="lineno"> 116</span> <span class="keywordtype">int</span> smallest = i;</div>
<div class="line"><span class="lineno"> 117</span> <span class="keywordflow">if</span> (l &lt; <a class="code hl_variable" href="#ae4d358bf063bb196a1945b3fb99b4913">heap_size</a> &amp;&amp; <a class="code hl_variable" href="#a34a93a87967308eb516328c0aca3c48e">harr</a>[l] &lt; <a class="code hl_variable" href="#a34a93a87967308eb516328c0aca3c48e">harr</a>[i])</div>
<div class="line"><span class="lineno"> 118</span> smallest = <a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a6d8df83a6f26ce24a75d3b358b7f5b8a">l</a>;</div>
<div class="line"><span class="lineno"> 119</span> <span class="keywordflow">if</span> (r &lt; <a class="code hl_variable" href="#ae4d358bf063bb196a1945b3fb99b4913">heap_size</a> &amp;&amp; <a class="code hl_variable" href="#a34a93a87967308eb516328c0aca3c48e">harr</a>[r] &lt; <a class="code hl_variable" href="#a34a93a87967308eb516328c0aca3c48e">harr</a>[smallest])</div>
<div class="line"><span class="lineno"> 120</span> smallest = r;</div>
<div class="line"><span class="lineno"> 121</span> <span class="keywordflow">if</span> (smallest != i) {</div>
<div class="line"><span class="lineno"> 122</span> <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/swap.html">std::swap</a>(<a class="code hl_variable" href="#a34a93a87967308eb516328c0aca3c48e">harr</a>[i], <a class="code hl_variable" href="#a34a93a87967308eb516328c0aca3c48e">harr</a>[smallest]);</div>
<div class="line"><span class="lineno"> 123</span> <a class="code hl_function" href="#aaef438c1056492cb62c4a4d9035b5cad">MinHeapify</a>(smallest);</div>
<div class="line"><span class="lineno"> 124</span> }</div>
<div class="line"><span class="lineno"> 125</span>}</div>
<div class="ttc" id="aclass_min_heap_html_aa8c6c141e3de664819686aa637e1afca"><div class="ttname"><a href="#aa8c6c141e3de664819686aa637e1afca">MinHeap::left</a></div><div class="ttdeci">int left(int i)</div><div class="ttdef"><b>Definition</b> binaryheap.cpp:31</div></div>
<div class="ttc" id="aclass_min_heap_html_ac760b85cf90265b8d674b942a43fb70e"><div class="ttname"><a href="#ac760b85cf90265b8d674b942a43fb70e">MinHeap::right</a></div><div class="ttdeci">int right(int i)</div><div class="ttdef"><b>Definition</b> binaryheap.cpp:34</div></div>
<div class="ttc" id="acomposite__simpson__rule_8cpp_html_a6d8df83a6f26ce24a75d3b358b7f5b8a"><div class="ttname"><a href="../../d4/d18/composite__simpson__rule_8cpp.html#a6d8df83a6f26ce24a75d3b358b7f5b8a">numerical_methods::simpson_method::l</a></div><div class="ttdeci">double l(double x)</div><div class="ttdoc">Another test function.</div><div class="ttdef"><b>Definition</b> composite_simpson_rule.cpp:119</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#a0e893f9deb4be4cf4f9990e736483e81">&#9670;&#160;</a></span>parent()</h2>
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<td class="memname">int MinHeap::parent </td>
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<div class="fragment"><div class="line"><span class="lineno"> 28</span>{ <span class="keywordflow">return</span> (i - 1) / 2; }</div>
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<h2 class="memtitle"><span class="permalink"><a href="#ac760b85cf90265b8d674b942a43fb70e">&#9670;&#160;</a></span>right()</h2>
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<td class="memname">int MinHeap::right </td>
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<p>to get index of right child of node at index i </p>
<div class="fragment"><div class="line"><span class="lineno"> 34</span>{ <span class="keywordflow">return</span> (2 * i + 2); }</div>
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<hr/>The documentation for this class was generated from the following file:<ul>
<li>data_structures/<a class="el" href="../../de/dc3/binaryheap_8cpp.html">binaryheap.cpp</a></li>
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