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<div class="title">graph::HKGraph Class Reference</div> </div>
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<p>Represents Bipartite graph for Hopcroft Karp implementation.
<a href="../../d8/d69/classgraph_1_1_h_k_graph.html#details">More...</a></p>
<div class="dynheader">
Collaboration diagram for graph::HKGraph:</div>
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<table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-methods"></a>
Public Member Functions</h2></td></tr>
<tr class="memitem:af02b0c83911070ac6d95fc9905e58aa9"><td class="memItemLeft" align="right" valign="top"><a id="af02b0c83911070ac6d95fc9905e58aa9"></a>
&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d8/d69/classgraph_1_1_h_k_graph.html#af02b0c83911070ac6d95fc9905e58aa9">HKGraph</a> ()</td></tr>
<tr class="memdesc:af02b0c83911070ac6d95fc9905e58aa9"><td class="mdescLeft">&#160;</td><td class="mdescRight">Default Constructor for initialization. <br /></td></tr>
<tr class="separator:af02b0c83911070ac6d95fc9905e58aa9"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a0da5aa674d3b3e54a38251ee60d7cd64"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d8/d69/classgraph_1_1_h_k_graph.html#a0da5aa674d3b3e54a38251ee60d7cd64">HKGraph</a> (int <a class="el" href="../../d8/d69/classgraph_1_1_h_k_graph.html#a3d9101e3b4598159005fd028b9b0ff74">m</a>, int <a class="el" href="../../d8/d69/classgraph_1_1_h_k_graph.html#a6f5a9fdbb83ef731d739ba6707e21c3c">n</a>)</td></tr>
<tr class="memdesc:a0da5aa674d3b3e54a38251ee60d7cd64"><td class="mdescLeft">&#160;</td><td class="mdescRight">Constructor for initialization. <a href="../../d8/d69/classgraph_1_1_h_k_graph.html#a0da5aa674d3b3e54a38251ee60d7cd64">More...</a><br /></td></tr>
<tr class="separator:a0da5aa674d3b3e54a38251ee60d7cd64"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a3b49011c09cf90a116ab53bef61cd95a"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d8/d69/classgraph_1_1_h_k_graph.html#a3b49011c09cf90a116ab53bef61cd95a">addEdge</a> (int u, int v)</td></tr>
<tr class="memdesc:a3b49011c09cf90a116ab53bef61cd95a"><td class="mdescLeft">&#160;</td><td class="mdescRight">function to add edge from u to v <a href="../../d8/d69/classgraph_1_1_h_k_graph.html#a3b49011c09cf90a116ab53bef61cd95a">More...</a><br /></td></tr>
<tr class="separator:a3b49011c09cf90a116ab53bef61cd95a"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a7491add14d9fc04f679114ca6d6f0f93"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d8/d69/classgraph_1_1_h_k_graph.html#a7491add14d9fc04f679114ca6d6f0f93">bfs</a> ()</td></tr>
<tr class="memdesc:a7491add14d9fc04f679114ca6d6f0f93"><td class="mdescLeft">&#160;</td><td class="mdescRight">This function checks for the possibility of augmented path availability. <a href="../../d8/d69/classgraph_1_1_h_k_graph.html#a7491add14d9fc04f679114ca6d6f0f93">More...</a><br /></td></tr>
<tr class="separator:a7491add14d9fc04f679114ca6d6f0f93"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ae794950cb3407b6b47d3dc986cf714c0"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d8/d69/classgraph_1_1_h_k_graph.html#ae794950cb3407b6b47d3dc986cf714c0">dfs</a> (int u)</td></tr>
<tr class="memdesc:ae794950cb3407b6b47d3dc986cf714c0"><td class="mdescLeft">&#160;</td><td class="mdescRight">This functions checks whether an augmenting path is available exists beginning with free vertex u. <a href="../../d8/d69/classgraph_1_1_h_k_graph.html#ae794950cb3407b6b47d3dc986cf714c0">More...</a><br /></td></tr>
<tr class="separator:ae794950cb3407b6b47d3dc986cf714c0"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a9dbda80d02bdc26c3e8ff7330c9be75d"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d8/d69/classgraph_1_1_h_k_graph.html#a9dbda80d02bdc26c3e8ff7330c9be75d">hopcroftKarpAlgorithm</a> ()</td></tr>
<tr class="memdesc:a9dbda80d02bdc26c3e8ff7330c9be75d"><td class="mdescLeft">&#160;</td><td class="mdescRight">This function counts the number of augmenting paths between left and right sides of the Bipartite graph. <a href="../../d8/d69/classgraph_1_1_h_k_graph.html#a9dbda80d02bdc26c3e8ff7330c9be75d">More...</a><br /></td></tr>
<tr class="separator:a9dbda80d02bdc26c3e8ff7330c9be75d"><td class="memSeparator" colspan="2">&#160;</td></tr>
</table><table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pri-attribs"></a>
Private Attributes</h2></td></tr>
<tr class="memitem:a3d9101e3b4598159005fd028b9b0ff74"><td class="memItemLeft" align="right" valign="top"><a id="a3d9101e3b4598159005fd028b9b0ff74"></a>
int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d8/d69/classgraph_1_1_h_k_graph.html#a3d9101e3b4598159005fd028b9b0ff74">m</a> {}</td></tr>
<tr class="memdesc:a3d9101e3b4598159005fd028b9b0ff74"><td class="mdescLeft">&#160;</td><td class="mdescRight">m is the number of vertices on left side of Bipartite <a class="el" href="../../dc/d61/classgraph_1_1_graph.html">Graph</a> <br /></td></tr>
<tr class="separator:a3d9101e3b4598159005fd028b9b0ff74"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a6f5a9fdbb83ef731d739ba6707e21c3c"><td class="memItemLeft" align="right" valign="top"><a id="a6f5a9fdbb83ef731d739ba6707e21c3c"></a>
int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d8/d69/classgraph_1_1_h_k_graph.html#a6f5a9fdbb83ef731d739ba6707e21c3c">n</a> {}</td></tr>
<tr class="memdesc:a6f5a9fdbb83ef731d739ba6707e21c3c"><td class="mdescLeft">&#160;</td><td class="mdescRight">n is the number of vertices on right side of Bipartite <a class="el" href="../../dc/d61/classgraph_1_1_graph.html">Graph</a> <br /></td></tr>
<tr class="separator:a6f5a9fdbb83ef731d739ba6707e21c3c"><td class="memSeparator" colspan="2">&#160;</td></tr>
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const int&#160;</td><td class="memItemRight" valign="bottom"><b>NIL</b> {0}</td></tr>
<tr class="separator:ae6d069bd16d6eafa6e08c7e5f735eda6"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a44742cb9cfecd1a4493970af9b8bbb15"><td class="memItemLeft" align="right" valign="top"><a id="a44742cb9cfecd1a4493970af9b8bbb15"></a>
const int&#160;</td><td class="memItemRight" valign="bottom"><b>INF</b> {INT_MAX}</td></tr>
<tr class="separator:a44742cb9cfecd1a4493970af9b8bbb15"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a35893def7a1c5cd60907b4893117796f"><td class="memItemLeft" align="right" valign="top"><a id="a35893def7a1c5cd60907b4893117796f"></a>
<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/list.html">std::list</a>&lt; int &gt; &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d8/d69/classgraph_1_1_h_k_graph.html#a35893def7a1c5cd60907b4893117796f">adj</a></td></tr>
<tr class="memdesc:a35893def7a1c5cd60907b4893117796f"><td class="mdescLeft">&#160;</td><td class="mdescRight">adj[u] stores adjacents of left side and 0 is used for dummy vertex <br /></td></tr>
<tr class="separator:a35893def7a1c5cd60907b4893117796f"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a86ebff8a70cbfedd05281993d5d1987b"><td class="memItemLeft" align="right" valign="top"><a id="a86ebff8a70cbfedd05281993d5d1987b"></a>
<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; int &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d8/d69/classgraph_1_1_h_k_graph.html#a86ebff8a70cbfedd05281993d5d1987b">pair_u</a></td></tr>
<tr class="memdesc:a86ebff8a70cbfedd05281993d5d1987b"><td class="mdescLeft">&#160;</td><td class="mdescRight">value of vertex 'u' ranges from 1 to m <br /></td></tr>
<tr class="separator:a86ebff8a70cbfedd05281993d5d1987b"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a976ee239402cc2726a280e781c706d77"><td class="memItemLeft" align="right" valign="top"><a id="a976ee239402cc2726a280e781c706d77"></a>
<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; int &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d8/d69/classgraph_1_1_h_k_graph.html#a976ee239402cc2726a280e781c706d77">pair_v</a></td></tr>
<tr class="memdesc:a976ee239402cc2726a280e781c706d77"><td class="mdescLeft">&#160;</td><td class="mdescRight">value of vertex 'v' ranges from 1 to n <br /></td></tr>
<tr class="separator:a976ee239402cc2726a280e781c706d77"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a6a0228bbba3818447fcf6b56128b552a"><td class="memItemLeft" align="right" valign="top"><a id="a6a0228bbba3818447fcf6b56128b552a"></a>
<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; int &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d8/d69/classgraph_1_1_h_k_graph.html#a6a0228bbba3818447fcf6b56128b552a">dist</a></td></tr>
<tr class="memdesc:a6a0228bbba3818447fcf6b56128b552a"><td class="mdescLeft">&#160;</td><td class="mdescRight">dist represents the distance between vertex 'u' and vertex 'v' <br /></td></tr>
<tr class="separator:a6a0228bbba3818447fcf6b56128b552a"><td class="memSeparator" colspan="2">&#160;</td></tr>
</table>
<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p>Represents Bipartite graph for Hopcroft Karp implementation. </p>
</div><h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
<a id="a0da5aa674d3b3e54a38251ee60d7cd64"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a0da5aa674d3b3e54a38251ee60d7cd64">&#9670;&nbsp;</a></span>HKGraph()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">graph::HKGraph::HKGraph </td>
<td>(</td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>m</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>n</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Constructor for initialization. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">m</td><td>is the number of vertices on left side of Bipartite <a class="el" href="../../dc/d61/classgraph_1_1_graph.html">Graph</a> </td></tr>
<tr><td class="paramname">n</td><td>is the number of vertices on right side of Bipartite <a class="el" href="../../dc/d61/classgraph_1_1_graph.html">Graph</a> </td></tr>
</table>
</dd>
</dl>
<div class="fragment"><div class="line"><a name="l00231"></a><span class="lineno"> 231</span>&#160; {</div>
<div class="line"><a name="l00232"></a><span class="lineno"> 232</span>&#160; this-&gt;<a class="code" href="../../d8/d69/classgraph_1_1_h_k_graph.html#a3d9101e3b4598159005fd028b9b0ff74">m</a> = <a class="code" href="../../d8/d69/classgraph_1_1_h_k_graph.html#a3d9101e3b4598159005fd028b9b0ff74">m</a>;</div>
<div class="line"><a name="l00233"></a><span class="lineno"> 233</span>&#160; this-&gt;<a class="code" href="../../d8/d69/classgraph_1_1_h_k_graph.html#a6f5a9fdbb83ef731d739ba6707e21c3c">n</a> = <a class="code" href="../../d8/d69/classgraph_1_1_h_k_graph.html#a6f5a9fdbb83ef731d739ba6707e21c3c">n</a>;</div>
<div class="line"><a name="l00234"></a><span class="lineno"> 234</span>&#160; <a class="code" href="../../d8/d69/classgraph_1_1_h_k_graph.html#a35893def7a1c5cd60907b4893117796f">adj</a> = <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;std::list&lt;int&gt;</a> &gt;(<a class="code" href="../../d8/d69/classgraph_1_1_h_k_graph.html#a3d9101e3b4598159005fd028b9b0ff74">m</a> + 1);</div>
<div class="line"><a name="l00235"></a><span class="lineno"> 235</span>&#160;}</div>
</div><!-- fragment -->
</div>
</div>
<h2 class="groupheader">Member Function Documentation</h2>
<a id="a3b49011c09cf90a116ab53bef61cd95a"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a3b49011c09cf90a116ab53bef61cd95a">&#9670;&nbsp;</a></span>addEdge()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void graph::HKGraph::addEdge </td>
<td>(</td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>u</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>v</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>function to add edge from u to v </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">u</td><td>is the position of first vertex </td></tr>
<tr><td class="paramname">v</td><td>is the position of second vertex </td></tr>
</table>
</dd>
</dl>
<div class="fragment"><div class="line"><a name="l00243"></a><span class="lineno"> 243</span>&#160;{</div>
<div class="line"><a name="l00244"></a><span class="lineno"> 244</span>&#160; <a class="code" href="../../d8/d69/classgraph_1_1_h_k_graph.html#a35893def7a1c5cd60907b4893117796f">adj</a>[u].<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/push_back.html">push_back</a>(v); <span class="comment">// Add v to u’s list.</span></div>
<div class="line"><a name="l00245"></a><span class="lineno"> 245</span>&#160;}</div>
</div><!-- fragment --><div class="dynheader">
Here is the call graph for this function:</div>
<div class="dyncontent">
<div class="center"><iframe scrolling="no" frameborder="0" src="../../d8/d69/classgraph_1_1_h_k_graph_a3b49011c09cf90a116ab53bef61cd95a_cgraph.svg" width="388" height="38"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe>
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<a id="a7491add14d9fc04f679114ca6d6f0f93"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a7491add14d9fc04f679114ca6d6f0f93">&#9670;&nbsp;</a></span>bfs()</h2>
<div class="memitem">
<div class="memproto">
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<tr>
<td class="memname">bool graph::HKGraph::bfs </td>
<td>(</td>
<td class="paramname"></td><td>)</td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
<p>This function checks for the possibility of augmented path availability. </p>
<dl class="section return"><dt>Returns</dt><dd><code>true</code> if there is an augmenting path available </dd>
<dd>
<code>false</code> if there is no augmenting path available </dd></dl>
<div class="fragment"><div class="line"><a name="l00134"></a><span class="lineno"> 134</span>&#160;{</div>
<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/queue.html">std::queue&lt;int&gt;</a> q; <span class="comment">// an integer queue for bfs</span></div>
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>&#160; </div>
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>&#160; <span class="comment">// First layer of vertices (set distance as 0)</span></div>
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> u = 1; u &lt;= <a class="code" href="../../d8/d69/classgraph_1_1_h_k_graph.html#a3d9101e3b4598159005fd028b9b0ff74">m</a>; u++)</div>
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>&#160; {</div>
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>&#160; <span class="comment">// If this is a free vertex, add it to queue</span></div>
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="../../d8/d69/classgraph_1_1_h_k_graph.html#a86ebff8a70cbfedd05281993d5d1987b">pair_u</a>[u] == NIL){</div>
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>&#160; </div>
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>&#160; <a class="code" href="../../d8/d69/classgraph_1_1_h_k_graph.html#a6a0228bbba3818447fcf6b56128b552a">dist</a>[u] = 0; <span class="comment">// u is not matched so distance is 0</span></div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>&#160; q.push(u);</div>
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>&#160; }</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; <span class="keywordflow">else</span>{</div>
<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>&#160; <a class="code" href="../../d8/d69/classgraph_1_1_h_k_graph.html#a6a0228bbba3818447fcf6b56128b552a">dist</a>[u] = INF; <span class="comment">// set distance as infinite so that this vertex is considered next time for availibility</span></div>
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>&#160; }</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; </div>
<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>&#160; <a class="code" href="../../d8/d69/classgraph_1_1_h_k_graph.html#a6a0228bbba3818447fcf6b56128b552a">dist</a>[NIL] = INF; <span class="comment">// Initialize distance to NIL as infinite</span></div>
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>&#160; </div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>&#160; <span class="comment">// q is going to contain vertices of left side only.</span></div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>&#160; <span class="keywordflow">while</span> (!q.empty())</div>
<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>&#160; {</div>
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>&#160; <span class="keywordtype">int</span> u = q.front(); <span class="comment">// dequeue a vertex</span></div>
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>&#160; q.pop();</div>
<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; <span class="comment">// If this node is not NIL and can provide a shorter path to NIL then</span></div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="../../d8/d69/classgraph_1_1_h_k_graph.html#a6a0228bbba3818447fcf6b56128b552a">dist</a>[u] &lt; <a class="code" href="../../d8/d69/classgraph_1_1_h_k_graph.html#a6a0228bbba3818447fcf6b56128b552a">dist</a>[NIL])</div>
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>&#160; {</div>
<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>&#160; <span class="comment">// Get all the adjacent vertices of the dequeued vertex u</span></div>
<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/list.html">std::list&lt;int&gt;::iterator</a> it;</div>
<div class="line"><a name="l00166"></a><span class="lineno"> 166</span>&#160; <span class="keywordflow">for</span> (it = <a class="code" href="../../d8/d69/classgraph_1_1_h_k_graph.html#a35893def7a1c5cd60907b4893117796f">adj</a>[u].<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/begin.html">begin</a>(); it != <a class="code" href="../../d8/d69/classgraph_1_1_h_k_graph.html#a35893def7a1c5cd60907b4893117796f">adj</a>[u].<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/end.html">end</a>(); ++it)</div>
<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>&#160; {</div>
<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>&#160; <span class="keywordtype">int</span> v = *it;</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; <span class="comment">// If pair of v is not considered so far i.e. (v, pair_v[v]) is not yet explored edge.</span></div>
<div class="line"><a name="l00171"></a><span class="lineno"> 171</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="../../d8/d69/classgraph_1_1_h_k_graph.html#a6a0228bbba3818447fcf6b56128b552a">dist</a>[<a class="code" href="../../d8/d69/classgraph_1_1_h_k_graph.html#a976ee239402cc2726a280e781c706d77">pair_v</a>[v]] == INF)</div>
<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>&#160; {</div>
<div class="line"><a name="l00173"></a><span class="lineno"> 173</span>&#160; <a class="code" href="../../d8/d69/classgraph_1_1_h_k_graph.html#a6a0228bbba3818447fcf6b56128b552a">dist</a>[<a class="code" href="../../d8/d69/classgraph_1_1_h_k_graph.html#a976ee239402cc2726a280e781c706d77">pair_v</a>[v]] = <a class="code" href="../../d8/d69/classgraph_1_1_h_k_graph.html#a6a0228bbba3818447fcf6b56128b552a">dist</a>[u] + 1; </div>
<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>&#160; q.push(<a class="code" href="../../d8/d69/classgraph_1_1_h_k_graph.html#a976ee239402cc2726a280e781c706d77">pair_v</a>[v]); <span class="comment">// Consider the pair and push it to queue</span></div>
<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>&#160; }</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; }</div>
<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>&#160; }</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>
<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; <span class="keywordflow">return</span> (<a class="code" href="../../d8/d69/classgraph_1_1_h_k_graph.html#a6a0228bbba3818447fcf6b56128b552a">dist</a>[NIL] != INF); <span class="comment">// If we could come back to NIL using alternating path of distinct vertices then there is an augmenting path available</span></div>
<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>&#160;}</div>
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<h2 class="memtitle"><span class="permalink"><a href="#ae794950cb3407b6b47d3dc986cf714c0">&#9670;&nbsp;</a></span>dfs()</h2>
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<td class="memname">bool graph::HKGraph::dfs </td>
<td>(</td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>u</em></td><td>)</td>
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<p>This functions checks whether an augmenting path is available exists beginning with free vertex u. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">u</td><td>represents position of vertex </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd><code>true</code> if there is an augmenting path beginning with free vertex u </dd>
<dd>
<code>false</code> if there is no augmenting path beginning with free vertex u </dd></dl>
<div class="fragment"><div class="line"><a name="l00192"></a><span class="lineno"> 192</span>&#160;{</div>
<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>&#160; <span class="keywordflow">if</span> (u != NIL)</div>
<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; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/list.html">std::list&lt;int&gt;::iterator</a> it;</div>
<div class="line"><a name="l00196"></a><span class="lineno"> 196</span>&#160; <span class="keywordflow">for</span> (it = <a class="code" href="../../d8/d69/classgraph_1_1_h_k_graph.html#a35893def7a1c5cd60907b4893117796f">adj</a>[u].<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/begin.html">begin</a>(); it != <a class="code" href="../../d8/d69/classgraph_1_1_h_k_graph.html#a35893def7a1c5cd60907b4893117796f">adj</a>[u].<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/end.html">end</a>(); ++it)</div>
<div class="line"><a name="l00197"></a><span class="lineno"> 197</span>&#160; {</div>
<div class="line"><a name="l00198"></a><span class="lineno"> 198</span>&#160; </div>
<div class="line"><a name="l00199"></a><span class="lineno"> 199</span>&#160; <span class="keywordtype">int</span> v = *it; <span class="comment">// Adjacent vertex of u</span></div>
<div class="line"><a name="l00200"></a><span class="lineno"> 200</span>&#160; </div>
<div class="line"><a name="l00201"></a><span class="lineno"> 201</span>&#160; <span class="comment">// Follow the distances set by BFS search</span></div>
<div class="line"><a name="l00202"></a><span class="lineno"> 202</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="../../d8/d69/classgraph_1_1_h_k_graph.html#a6a0228bbba3818447fcf6b56128b552a">dist</a>[<a class="code" href="../../d8/d69/classgraph_1_1_h_k_graph.html#a976ee239402cc2726a280e781c706d77">pair_v</a>[v]] == <a class="code" href="../../d8/d69/classgraph_1_1_h_k_graph.html#a6a0228bbba3818447fcf6b56128b552a">dist</a>[u] + 1)</div>
<div class="line"><a name="l00203"></a><span class="lineno"> 203</span>&#160; {</div>
<div class="line"><a name="l00204"></a><span class="lineno"> 204</span>&#160; <span class="comment">// If dfs for pair of v also return true then new matching possible, store the matching</span></div>
<div class="line"><a name="l00205"></a><span class="lineno"> 205</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="../../d8/d69/classgraph_1_1_h_k_graph.html#ae794950cb3407b6b47d3dc986cf714c0">dfs</a>(<a class="code" href="../../d8/d69/classgraph_1_1_h_k_graph.html#a976ee239402cc2726a280e781c706d77">pair_v</a>[v]) == <span class="keyword">true</span>)</div>
<div class="line"><a name="l00206"></a><span class="lineno"> 206</span>&#160; { </div>
<div class="line"><a name="l00207"></a><span class="lineno"> 207</span>&#160; <a class="code" href="../../d8/d69/classgraph_1_1_h_k_graph.html#a976ee239402cc2726a280e781c706d77">pair_v</a>[v] = u;</div>
<div class="line"><a name="l00208"></a><span class="lineno"> 208</span>&#160; <a class="code" href="../../d8/d69/classgraph_1_1_h_k_graph.html#a86ebff8a70cbfedd05281993d5d1987b">pair_u</a>[u] = v;</div>
<div class="line"><a name="l00209"></a><span class="lineno"> 209</span>&#160; <span class="keywordflow">return</span> <span class="keyword">true</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; }</div>
<div class="line"><a name="l00212"></a><span class="lineno"> 212</span>&#160; }</div>
<div class="line"><a name="l00213"></a><span class="lineno"> 213</span>&#160; </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="../../d8/d69/classgraph_1_1_h_k_graph.html#a6a0228bbba3818447fcf6b56128b552a">dist</a>[u] = INF; <span class="comment">// If there is no augmenting path beginning with u then set distance to infinite.</span></div>
<div class="line"><a name="l00216"></a><span class="lineno"> 216</span>&#160; <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a name="l00217"></a><span class="lineno"> 217</span>&#160; }</div>
<div class="line"><a name="l00218"></a><span class="lineno"> 218</span>&#160; <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a name="l00219"></a><span class="lineno"> 219</span>&#160;}</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a9dbda80d02bdc26c3e8ff7330c9be75d">&#9670;&nbsp;</a></span>hopcroftKarpAlgorithm()</h2>
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<td class="memname">int graph::HKGraph::hopcroftKarpAlgorithm </td>
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<td class="paramname"></td><td>)</td>
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<p>This function counts the number of augmenting paths between left and right sides of the Bipartite graph. </p>
<dl class="section return"><dt>Returns</dt><dd>size of maximum matching </dd></dl>
<div class="fragment"><div class="line"><a name="l00096"></a><span class="lineno"> 96</span>&#160;{</div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>&#160; </div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>&#160; <span class="comment">// pair_u[u] stores pair of u in matching on left side of Bipartite Graph.</span></div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>&#160; <span class="comment">// If u doesn&#39;t have any pair, then pair_u[u] is NIL</span></div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>&#160; <a class="code" href="../../d8/d69/classgraph_1_1_h_k_graph.html#a86ebff8a70cbfedd05281993d5d1987b">pair_u</a> = <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;int&gt;</a>(<a class="code" href="../../d8/d69/classgraph_1_1_h_k_graph.html#a3d9101e3b4598159005fd028b9b0ff74">m</a> + 1,NIL); </div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>&#160; </div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>&#160; <span class="comment">// pair_v[v] stores pair of v in matching on right side of Biparite Graph.</span></div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>&#160; <span class="comment">// If v doesn&#39;t have any pair, then pair_u[v] is NIL</span></div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>&#160; <a class="code" href="../../d8/d69/classgraph_1_1_h_k_graph.html#a976ee239402cc2726a280e781c706d77">pair_v</a> = <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;int&gt;</a>(<a class="code" href="../../d8/d69/classgraph_1_1_h_k_graph.html#a6f5a9fdbb83ef731d739ba6707e21c3c">n</a> + 1,NIL); </div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>&#160; </div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>&#160; <a class="code" href="../../d8/d69/classgraph_1_1_h_k_graph.html#a6a0228bbba3818447fcf6b56128b552a">dist</a> = <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;int&gt;</a>(<a class="code" href="../../d8/d69/classgraph_1_1_h_k_graph.html#a3d9101e3b4598159005fd028b9b0ff74">m</a> + 1); <span class="comment">// dist[u] stores distance of left side vertices</span></div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>&#160; </div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>&#160; <span class="keywordtype">int</span> result = 0; <span class="comment">// Initialize result</span></div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>&#160; </div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>&#160; <span class="comment">// Keep updating the result while there is an augmenting path possible.</span></div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>&#160; <span class="keywordflow">while</span> (<a class="code" href="../../d8/d69/classgraph_1_1_h_k_graph.html#a7491add14d9fc04f679114ca6d6f0f93">bfs</a>())</div>
<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="comment">// Find a free vertex to check for a matching</span></div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> u = 1; u &lt;= <a class="code" href="../../d8/d69/classgraph_1_1_h_k_graph.html#a3d9101e3b4598159005fd028b9b0ff74">m</a>; u++){</div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>&#160; </div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>&#160; <span class="comment">// If current vertex is free and there is</span></div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>&#160; <span class="comment">// an augmenting path from current vertex</span></div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>&#160; <span class="comment">// then increment the result</span></div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="../../d8/d69/classgraph_1_1_h_k_graph.html#a86ebff8a70cbfedd05281993d5d1987b">pair_u</a>[u] == NIL &amp;&amp; <a class="code" href="../../d8/d69/classgraph_1_1_h_k_graph.html#ae794950cb3407b6b47d3dc986cf714c0">dfs</a>(u)){</div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>&#160; result++;</div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>&#160; }</div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>&#160; }</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="keywordflow">return</span> result;</div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>&#160;}</div>
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<div class="ttc" id="aclassgraph_1_1_lowest_common_ancestor_html_a80825a4fd4c41860b689d253dd2c8e93"><div class="ttname"><a href="../../d9/d23/classgraph_1_1_lowest_common_ancestor.html#a80825a4fd4c41860b689d253dd2c8e93">graph::LowestCommonAncestor::LowestCommonAncestor</a></div><div class="ttdeci">LowestCommonAncestor(const RootedTree &amp;tree_)</div><div class="ttdoc">Stores the tree and precomputs &quot;up lifts&quot;.</div><div class="ttdef"><b>Definition:</b> lowest_common_ancestor.cpp:151</div></div>
<div class="ttc" id="ainner_product_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/algorithm/inner_product.html">std::inner_product</a></div><div class="ttdeci">T inner_product(T... args)</div></div>
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<div class="ttc" id="aclock_t_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/chrono/c/clock_t.html">std::clock_t</a></div></div>
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<div class="ttc" id="anamespacedouble__hashing_html"><div class="ttname"><a href="../../d0/d65/namespacedouble__hashing.html">double_hashing</a></div><div class="ttdoc">An implementation of hash table using double hashing algorithm.</div></div>
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<div class="ttc" id="aclassdata__structures_1_1trie_html_a961eb5d576d2420f2036009154397c63"><div class="ttname"><a href="../../d0/d3e/classdata__structures_1_1trie.html#a961eb5d576d2420f2036009154397c63">data_structures::trie::search</a></div><div class="ttdeci">bool search(const std::shared_ptr&lt; trie &gt; &amp;root, const std::string &amp;str, int index)</div><div class="ttdef"><b>Definition:</b> trie_tree.cpp:56</div></div>
<div class="ttc" id="aclassmachine__learning_1_1neural__network_1_1_neural_network_html_a8d983ebb3225a9901b713a0f05b44aba"><div class="ttname"><a href="../../d4/df4/classmachine__learning_1_1neural__network_1_1_neural_network.html#a8d983ebb3225a9901b713a0f05b44aba">machine_learning::neural_network::NeuralNetwork::get_XY_from_csv</a></div><div class="ttdeci">std::pair&lt; std::vector&lt; std::vector&lt; std::valarray&lt; double &gt; &gt; &gt;, std::vector&lt; std::vector&lt; std::valarray&lt; double &gt; &gt; &gt; &gt; get_XY_from_csv(const std::string &amp;file_name, const bool &amp;last_label, const bool &amp;normalize, const int &amp;slip_lines=1)</div><div class="ttdef"><b>Definition:</b> neural_network.cpp:382</div></div>
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<div class="ttc" id="aleft_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/manip/left.html">std::left</a></div><div class="ttdeci">T left(T... args)</div></div>
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<div class="ttc" id="agreater_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/utility/functional/greater.html">std::greater</a></div></div>
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<div class="ttc" id="anamespacestd_html"><div class="ttname"><a href="../../d8/dcc/namespacestd.html">std</a></div><div class="ttdoc">STL namespace.</div></div>
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<div class="ttc" id="ainsert_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector/insert.html">std::vector::insert</a></div><div class="ttdeci">T insert(T... args)</div></div>
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<div class="ttc" id="anamespacelinear__probing_html_a75854f5aa216e61219154c62167ce8f0"><div class="ttname"><a href="../../d8/d89/namespacelinear__probing.html#a75854f5aa216e61219154c62167ce8f0">linear_probing::removalInfo</a></div><div class="ttdeci">void removalInfo(int key)</div><div class="ttdef"><b>Definition:</b> linear_probing_hash_table.cpp:201</div></div>
<div class="ttc" id="atower__of__hanoi_8cpp_html_a746d9a3984bba88fd6dd91978f6931ed"><div class="ttname"><a href="../../db/d3c/tower__of__hanoi_8cpp.html#a746d9a3984bba88fd6dd91978f6931ed">show</a></div><div class="ttdeci">void show(const struct tower *const F, const struct tower *const T, const struct tower *const U)</div><div class="ttdef"><b>Definition:</b> tower_of_hanoi.cpp:19</div></div>
<div class="ttc" id="aclassgraph_1_1_graph_html_ae2f6992450faa2c3da93edea0818869a"><div class="ttname"><a href="../../dc/d61/classgraph_1_1_graph.html#ae2f6992450faa2c3da93edea0818869a">graph::Graph::number_of_vertices</a></div><div class="ttdeci">int number_of_vertices() const</div><div class="ttdef"><b>Definition:</b> lowest_common_ancestor.cpp:74</div></div>
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<div class="ttc" id="akohonen__som__trace_8cpp_html_a6d0455dd5c30adda100e95f0423c786e"><div class="ttname"><a href="../../d9/d49/kohonen__som__trace_8cpp.html#a6d0455dd5c30adda100e95f0423c786e">test3</a></div><div class="ttdeci">void test3()</div><div class="ttdef"><b>Definition:</b> kohonen_som_trace.cpp:414</div></div>
<div class="ttc" id="apush_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/queue/push.html">std::queue::push</a></div><div class="ttdeci">T push(T... args)</div></div>
<div class="ttc" id="aclassgraph_1_1_h_k_graph_html_a6a0228bbba3818447fcf6b56128b552a"><div class="ttname"><a href="../../d8/d69/classgraph_1_1_h_k_graph.html#a6a0228bbba3818447fcf6b56128b552a">graph::HKGraph::dist</a></div><div class="ttdeci">std::vector&lt; int &gt; dist</div><div class="ttdoc">dist represents the distance between vertex 'u' and vertex 'v'</div><div class="ttdef"><b>Definition:</b> hopcroft_karp.cpp:77</div></div>
<div class="ttc" id="aordinary__least__squares__regressor_8cpp_html_a4261f3c3c3dfdb86f3004eb8aaffea8d"><div class="ttname"><a href="../../dc/d38/ordinary__least__squares__regressor_8cpp.html#a4261f3c3c3dfdb86f3004eb8aaffea8d">ols_test</a></div><div class="ttdeci">void ols_test()</div><div class="ttdef"><b>Definition:</b> ordinary_least_squares_regressor.cpp:369</div></div>
<div class="ttc" id="aclassstack_html_a066e4505155b009913c47b2648b1067a"><div class="ttname"><a href="../../d1/dc2/classstack.html#a066e4505155b009913c47b2648b1067a">stack::isEmptyStack</a></div><div class="ttdeci">bool isEmptyStack()</div><div class="ttdef"><b>Definition:</b> stack.h:80</div></div>
<div class="ttc" id="anamespacelayers_html"><div class="ttname"><a href="../../d5/d2c/namespacelayers.html">layers</a></div><div class="ttdoc">This namespace contains layers used in MLP.</div></div>
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<div class="ttc" id="aclassgeometry_1_1jarvis_1_1_convexhull_html_a54df5f9a8f37170bd97c91127664655c"><div class="ttname"><a href="../../d4/dde/classgeometry_1_1jarvis_1_1_convexhull.html#a54df5f9a8f37170bd97c91127664655c">geometry::jarvis::Convexhull::orientation</a></div><div class="ttdeci">static int orientation(const Point &amp;p, const Point &amp;q, const Point &amp;r)</div><div class="ttdef"><b>Definition:</b> jarvis_algorithm.cpp:133</div></div>
<div class="ttc" id="asetw_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/manip/setw.html">std::setw</a></div><div class="ttdeci">T setw(T... args)</div></div>
<div class="ttc" id="aclassgraph_1_1_h_k_graph_html"><div class="ttname"><a href="../../d8/d69/classgraph_1_1_h_k_graph.html">graph::HKGraph</a></div><div class="ttdoc">Represents Bipartite graph for Hopcroft Karp implementation.</div><div class="ttdef"><b>Definition:</b> hopcroft_karp.cpp:67</div></div>
<div class="ttc" id="aclassmachine__learning_1_1adaline_html_aa23d60262f917f35836ef4b1c1d9f7d3"><div class="ttname"><a href="../../d6/d30/classmachine__learning_1_1adaline.html#aa23d60262f917f35836ef4b1c1d9f7d3">machine_learning::adaline::accuracy</a></div><div class="ttdeci">const double accuracy</div><div class="ttdoc">model fit convergence accuracy</div><div class="ttdef"><b>Definition:</b> adaline_learning.cpp:208</div></div>
<div class="ttc" id="aclassgraph_1_1_h_k_graph_html_a976ee239402cc2726a280e781c706d77"><div class="ttname"><a href="../../d8/d69/classgraph_1_1_h_k_graph.html#a976ee239402cc2726a280e781c706d77">graph::HKGraph::pair_v</a></div><div class="ttdeci">std::vector&lt; int &gt; pair_v</div><div class="ttdoc">value of vertex 'v' ranges from 1 to n</div><div class="ttdef"><b>Definition:</b> hopcroft_karp.cpp:76</div></div>
<div class="ttc" id="amax_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/algorithm/max.html">std::max</a></div><div class="ttdeci">T max(T... args)</div></div>
<div class="ttc" id="agraph_2dijkstra_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../d7/d1e/graph_2dijkstra_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdef"><b>Definition:</b> dijkstra.cpp:152</div></div>
<div class="ttc" id="anamespacemachine__learning_html_a9225f0ded976096b45ffe13c75d33c05"><div class="ttname"><a href="../../d8/d77/namespacemachine__learning.html#a9225f0ded976096b45ffe13c75d33c05">machine_learning::operator+</a></div><div class="ttdeci">std::vector&lt; std::valarray&lt; T &gt; &gt; operator+(const std::vector&lt; std::valarray&lt; T &gt;&gt; &amp;A, const std::vector&lt; std::valarray&lt; T &gt;&gt; &amp;B)</div><div class="ttdef"><b>Definition:</b> vector_ops.hpp:406</div></div>
@@ -986,6 +997,7 @@ $(document).ready(function(){initNavTree('d8/d95/vector__ops_8hpp_source.html','
<div class="ttc" id="astruct_point_html"><div class="ttname"><a href="../../d8/dc8/struct_point.html">Point</a></div><div class="ttdef"><b>Definition:</b> line_segment_intersection.cpp:12</div></div>
<div class="ttc" id="anamespacemachine__learning_html_a6ef38e5947aef609f908bfbfeaf11d75"><div class="ttname"><a href="../../d8/d77/namespacemachine__learning.html#a6ef38e5947aef609f908bfbfeaf11d75">machine_learning::hadamard_product</a></div><div class="ttdeci">std::vector&lt; std::valarray&lt; T &gt; &gt; hadamard_product(const std::vector&lt; std::valarray&lt; T &gt;&gt; &amp;A, const std::vector&lt; std::valarray&lt; T &gt;&gt; &amp;B)</div><div class="ttdef"><b>Definition:</b> vector_ops.hpp:494</div></div>
<div class="ttc" id="aclassgraph_1_1is__graph__bipartite_1_1_graph_html"><div class="ttname"><a href="../../de/d00/classgraph_1_1is__graph__bipartite_1_1_graph.html">graph::is_graph_bipartite::Graph</a></div><div class="ttdoc">Class for representing graph as an adjacency list.</div><div class="ttdef"><b>Definition:</b> is_graph_bipartite.cpp:51</div></div>
<div class="ttc" id="aclassgraph_1_1_h_k_graph_html_a9dbda80d02bdc26c3e8ff7330c9be75d"><div class="ttname"><a href="../../d8/d69/classgraph_1_1_h_k_graph.html#a9dbda80d02bdc26c3e8ff7330c9be75d">graph::HKGraph::hopcroftKarpAlgorithm</a></div><div class="ttdeci">int hopcroftKarpAlgorithm()</div><div class="ttdoc">This function counts the number of augmenting paths between left and right sides of the Bipartite gra...</div><div class="ttdef"><b>Definition:</b> hopcroft_karp.cpp:95</div></div>
<div class="ttc" id="anamespacemachine__learning_html_adc731720947b4bc2ab047c141e7d0299"><div class="ttname"><a href="../../d8/d77/namespacemachine__learning.html#adc731720947b4bc2ab047c141e7d0299">machine_learning::kohonen_som</a></div><div class="ttdeci">void kohonen_som(const std::vector&lt; std::valarray&lt; double &gt;&gt; &amp;X, std::vector&lt; std::vector&lt; std::valarray&lt; double &gt;&gt;&gt; *W, double alpha_min)</div><div class="ttdef"><b>Definition:</b> kohonen_som_topology.cpp:269</div></div>
<div class="ttc" id="aparanthesis__matching_8cpp_html_aae41c72130114bf31204cde6873b6095"><div class="ttname"><a href="../../dc/dc5/paranthesis__matching_8cpp.html#aae41c72130114bf31204cde6873b6095">push</a></div><div class="ttdeci">void push(char ch)</div><div class="ttdoc">push byte to stack variable</div><div class="ttdef"><b>Definition:</b> paranthesis_matching.cpp:26</div></div>
<div class="ttc" id="aclass_trie_html_a95216ffc56cb9f8cede982cecb872af4"><div class="ttname"><a href="../../dd/d2f/class_trie.html#a95216ffc56cb9f8cede982cecb872af4">Trie::removeWordHelper</a></div><div class="ttdeci">std::shared_ptr&lt; TrieNode &gt; removeWordHelper(const std::string &amp;word, std::shared_ptr&lt; TrieNode &gt; curr, size_t index)</div><div class="ttdef"><b>Definition:</b> trie_modern.cpp:64</div></div>
@@ -1000,6 +1012,7 @@ $(document).ready(function(){initNavTree('d8/d95/vector__ops_8hpp_source.html','
<div class="ttc" id="aclassgraph_1_1_lowest_common_ancestor_html_a60151e19512b48cc0b14ea121df00488"><div class="ttname"><a href="../../d9/d23/classgraph_1_1_lowest_common_ancestor.html#a60151e19512b48cc0b14ea121df00488">graph::LowestCommonAncestor::lowest_common_ancestor</a></div><div class="ttdeci">int lowest_common_ancestor(int u, int v) const</div><div class="ttdoc">Query the structure to find the lowest common ancestor. Assumes that the provided numbers are valid i...</div><div class="ttdef"><b>Definition:</b> lowest_common_ancestor.cpp:164</div></div>
<div class="ttc" id="abasic_istream_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a></div></div>
<div class="ttc" id="aclasshash__chain_html_a706964ad13587fc9a8b3fe8381d410ed"><div class="ttname"><a href="../../dd/d1c/classhash__chain.html#a706964ad13587fc9a8b3fe8381d410ed">hash_chain::display</a></div><div class="ttdeci">void display()</div><div class="ttdoc">Display the chain.</div><div class="ttdef"><b>Definition:</b> chaining.cpp:63</div></div>
<div class="ttc" id="aclassgraph_1_1_h_k_graph_html_a86ebff8a70cbfedd05281993d5d1987b"><div class="ttname"><a href="../../d8/d69/classgraph_1_1_h_k_graph.html#a86ebff8a70cbfedd05281993d5d1987b">graph::HKGraph::pair_u</a></div><div class="ttdeci">std::vector&lt; int &gt; pair_u</div><div class="ttdoc">value of vertex 'u' ranges from 1 to m</div><div class="ttdef"><b>Definition:</b> hopcroft_karp.cpp:75</div></div>
<div class="ttc" id="ashortest__common__supersequence_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../d7/d65/shortest__common__supersequence_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdef"><b>Definition:</b> shortest_common_supersequence.cpp:164</div></div>
<div class="ttc" id="anamespacesorting_html_a50b66a1c652291b9a346ec7342967178"><div class="ttname"><a href="../../d5/d91/namespacesorting.html#a50b66a1c652291b9a346ec7342967178">sorting::quickSort</a></div><div class="ttdeci">void quickSort(int arr[], int low, int high)</div><div class="ttdef"><b>Definition:</b> quick_sort.cpp:63</div></div>
<div class="ttc" id="aadaline__learning_8cpp_html_a379f7488a305f2571f2932b319931f82"><div class="ttname"><a href="../../d5/db0/adaline__learning_8cpp.html#a379f7488a305f2571f2932b319931f82">test2</a></div><div class="ttdeci">void test2(double eta=0.01)</div><div class="ttdef"><b>Definition:</b> adaline_learning.cpp:262</div></div>
@@ -1015,6 +1028,7 @@ $(document).ready(function(){initNavTree('d8/d95/vector__ops_8hpp_source.html','
<div class="ttc" id="aordinary__least__squares__regressor_8cpp_html_a30acf52af3184bc22274234ef5a73536"><div class="ttname"><a href="../../dc/d38/ordinary__least__squares__regressor_8cpp.html#a30acf52af3184bc22274234ef5a73536">operator/</a></div><div class="ttdeci">std::vector&lt; float &gt; operator/(std::vector&lt; T &gt; const &amp;A, float const scalar)</div><div class="ttdef"><b>Definition:</b> ordinary_least_squares_regressor.cpp:174</div></div>
<div class="ttc" id="anamespacemachine__learning_html_acc6a28f40512dbda75ab1a3969248898"><div class="ttname"><a href="../../d8/d77/namespacemachine__learning.html#acc6a28f40512dbda75ab1a3969248898">machine_learning::kohonen_som_tracer</a></div><div class="ttdeci">void kohonen_som_tracer(const std::vector&lt; std::valarray&lt; double &gt;&gt; &amp;X, std::vector&lt; std::valarray&lt; double &gt;&gt; *W, double alpha_min)</div><div class="ttdef"><b>Definition:</b> kohonen_som_trace.cpp:149</div></div>
<div class="ttc" id="anamespaceutil__functions_html"><div class="ttname"><a href="../../d3/d17/namespaceutil__functions.html">util_functions</a></div><div class="ttdoc">Various utility functions used in Neural network.</div></div>
<div class="ttc" id="aclassgraph_1_1_h_k_graph_html_ae794950cb3407b6b47d3dc986cf714c0"><div class="ttname"><a href="../../d8/d69/classgraph_1_1_h_k_graph.html#ae794950cb3407b6b47d3dc986cf714c0">graph::HKGraph::dfs</a></div><div class="ttdeci">bool dfs(int u)</div><div class="ttdoc">This functions checks whether an augmenting path is available exists beginning with free vertex u.</div><div class="ttdef"><b>Definition:</b> hopcroft_karp.cpp:191</div></div>
<div class="ttc" id="aclassgraph_1_1is__graph__bipartite_1_1_graph_html_ad8c10df34357b2cd865c81e0c4f0bd8c"><div class="ttname"><a href="../../de/d00/classgraph_1_1is__graph__bipartite_1_1_graph.html#ad8c10df34357b2cd865c81e0c4f0bd8c">graph::is_graph_bipartite::Graph::addEdge</a></div><div class="ttdeci">void addEdge(int u, int v)</div><div class="ttdoc">Function that add an edge between two nodes or vertices of graph.</div><div class="ttdef"><b>Definition:</b> is_graph_bipartite.cpp:83</div></div>
<div class="ttc" id="aeof_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/basic_ios/eof.html">std::ifstream::eof</a></div><div class="ttdeci">T eof(T... args)</div></div>
<div class="ttc" id="aexit_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/utility/program/exit.html">std::exit</a></div><div class="ttdeci">T exit(T... args)</div></div>