Documentation for 0b27a9e631

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2020-07-19 16:08:56 +00:00
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commit 3f6d5ca6f0
40 changed files with 1303 additions and 1293 deletions

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<tr bgcolor="#f0f0f0" class="even"><td class="entry"><b>edges</b> (defined in <a class="el" href="../../da/d9a/class_graph.html">Graph</a>)</td><td class="entry"><a class="el" href="../../da/d9a/class_graph.html">Graph</a></td><td class="entry"></td></tr>
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<tr bgcolor="#f0f0f0" class="even"><td class="entry"><b>ford_fulkerson</b>(void) (defined in <a class="el" href="../../da/d9a/class_graph.html">Graph</a>)</td><td class="entry"><a class="el" href="../../da/d9a/class_graph.html">Graph</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
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<tr class="even"><td class="entry"><a class="el" href="../../da/d9a/class_graph.html#a8aa88a88269773cc4dba255dec035898">getVertices</a>() const</td><td class="entry"><a class="el" href="../../da/d9a/class_graph.html">Graph</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
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<tr class="even"><td class="entry"><a class="el" href="../../da/d9a/class_graph.html#a8dcb5ce0b4a6f65827f5055d9d53a3f1">getVertices</a>() const</td><td class="entry"><a class="el" href="../../da/d9a/class_graph.html">Graph</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
<tr bgcolor="#f0f0f0"><td class="entry"><b>Graph</b>(int V, int E) (defined in <a class="el" href="../../da/d9a/class_graph.html">Graph</a>)</td><td class="entry"><a class="el" href="../../da/d9a/class_graph.html">Graph</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
<tr bgcolor="#f0f0f0" class="even"><td class="entry"><b>Graph</b>(int V) (defined in <a class="el" href="../../da/d9a/class_graph.html">Graph</a>)</td><td class="entry"><a class="el" href="../../da/d9a/class_graph.html">Graph</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
<tr bgcolor="#f0f0f0"><td class="entry"><b>Graph</b>() (defined in <a class="el" href="../../da/d9a/class_graph.html">Graph</a>)</td><td class="entry"><a class="el" href="../../da/d9a/class_graph.html">Graph</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>

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@@ -117,10 +117,17 @@ Private Types</h2></td></tr>
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Static Private Member Functions</h2></td></tr>
<tr class="memitem:a2f4485c08b45e7a21a2e86f9c3f01d8b"><td class="memItemLeft" align="right" valign="top">static bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/dbb/class_cycle_check.html#a2f4485c08b45e7a21a2e86f9c3f01d8b">isCyclicDFSHelper</a> (<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/unordered_map.html">AdjList</a> const &amp;adjList, <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; nodeStates &gt; *state, unsigned int <a class="el" href="../../d5/da1/structnode.html">node</a>)</td></tr>
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<h2 class="groupheader">Member Function Documentation</h2>
<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p>Check if a directed graph has a cycle or not.</p>
<p>This class provides 2 methods to check for cycle in a directed graph: isCyclicDFS &amp; isCyclicBFS.</p>
<ul>
<li>isCyclicDFS uses DFS traversal method to check for cycle in a graph.</li>
<li>isCyclidBFS used BFS traversal method to check for cycle in a graph. </li>
</ul>
</div><h2 class="groupheader">Member Function Documentation</h2>
<a id="a399292a33edf87499daa52b51315aca5"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a399292a33edf87499daa52b51315aca5">&#9670;&nbsp;</a></span>isCyclicBFS()</h2>
@@ -153,53 +160,56 @@ Static Private Member Functions</h2></td></tr>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>true if a cycle is detected, else false. </dd></dl>
<div class="fragment"><div class="line"><a name="l00241"></a><span class="lineno"> 241</span>&#160; {</div>
<div class="line"><a name="l00242"></a><span class="lineno"> 242</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/unordered_map.html">AdjList</a> graphAjdList = <a class="code" href="../../dd/d9b/classgraph.html">graph</a>.getAdjList();</div>
<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="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;unsigned int&gt;</a> indegree(<a class="code" href="../../dd/d9b/classgraph.html">graph</a>.getVertices(), 0);</div>
<div class="line"><a name="l00245"></a><span class="lineno"> 245</span>&#160; <span class="comment">// Calculate the indegree i.e. the number of incident edges to the node.</span></div>
<div class="line"><a name="l00246"></a><span class="lineno"> 246</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">auto</span> <span class="keyword">const</span>&amp; [parent, children] : graphAjdList) {</div>
<div class="line"><a name="l00247"></a><span class="lineno"> 247</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">auto</span> <span class="keyword">const</span>&amp; child : children) {</div>
<div class="line"><a name="l00248"></a><span class="lineno"> 248</span>&#160; indegree[child]++;</div>
<div class="line"><a name="l00249"></a><span class="lineno"> 249</span>&#160; }</div>
<div class="line"><a name="l00250"></a><span class="lineno"> 250</span>&#160; }</div>
<div class="line"><a name="l00251"></a><span class="lineno"> 251</span>&#160; </div>
<div class="line"><a name="l00252"></a><span class="lineno"> 252</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/queue.html">std::queue&lt;unsigned int&gt;</a> can_be_solved;</div>
<div class="line"><a name="l00253"></a><span class="lineno"> 253</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">auto</span> <a class="code" href="../../d5/da1/structnode.html">node</a> = 0; <a class="code" href="../../d5/da1/structnode.html">node</a> &lt; <a class="code" href="../../dd/d9b/classgraph.html">graph</a>.getVertices(); <a class="code" href="../../d5/da1/structnode.html">node</a>++) {</div>
<div class="line"><a name="l00254"></a><span class="lineno"> 254</span>&#160; <span class="comment">// If a node doesn&#39;t have any input edges, then that node will</span></div>
<div class="line"><a name="l00255"></a><span class="lineno"> 255</span>&#160; <span class="comment">// definately not result in a cycle and can be visited safely.</span></div>
<div class="line"><a name="l00256"></a><span class="lineno"> 256</span>&#160; <span class="keywordflow">if</span> (!indegree[<a class="code" href="../../d5/da1/structnode.html">node</a>]) {</div>
<div class="line"><a name="l00257"></a><span class="lineno"> 257</span>&#160; can_be_solved.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/queue/emplace.html">emplace</a>(<a class="code" href="../../d5/da1/structnode.html">node</a>);</div>
<div class="line"><a name="l00258"></a><span class="lineno"> 258</span>&#160; }</div>
<div class="line"><a name="l00259"></a><span class="lineno"> 259</span>&#160; }</div>
<div class="line"><a name="l00260"></a><span class="lineno"> 260</span>&#160; </div>
<div class="line"><a name="l00261"></a><span class="lineno"> 261</span>&#160; <span class="comment">// Vertices that need to be traversed.</span></div>
<div class="line"><a name="l00262"></a><span class="lineno"> 262</span>&#160; <span class="keyword">auto</span> remain = <a class="code" href="../../dd/d9b/classgraph.html">graph</a>.getVertices();</div>
<div class="line"><a name="l00263"></a><span class="lineno"> 263</span>&#160; <span class="comment">// While there are safe nodes that we can visit.</span></div>
<div class="line"><a name="l00264"></a><span class="lineno"> 264</span>&#160; <span class="keywordflow">while</span> (!can_be_solved.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/queue/empty.html">empty</a>()) {</div>
<div class="line"><a name="l00265"></a><span class="lineno"> 265</span>&#160; <span class="keyword">auto</span> front = can_be_solved.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/queue/front.html">front</a>();</div>
<div class="line"><a name="l00266"></a><span class="lineno"> 266</span>&#160; <span class="comment">// Visit the node.</span></div>
<div class="line"><a name="l00267"></a><span class="lineno"> 267</span>&#160; can_be_solved.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/queue/pop.html">pop</a>();</div>
<div class="line"><a name="l00268"></a><span class="lineno"> 268</span>&#160; <span class="comment">// Decrease number of nodes that need to be traversed.</span></div>
<div class="line"><a name="l00269"></a><span class="lineno"> 269</span>&#160; remain--;</div>
<div class="fragment"><div class="line"><a name="l00249"></a><span class="lineno"> 249</span>&#160; {</div>
<div class="line"><a name="l00250"></a><span class="lineno"> 250</span>&#160; <span class="keyword">auto</span> graphAjdList = <a class="code" href="../../dd/d9b/classgraph.html">graph</a>.getAdjList();</div>
<div class="line"><a name="l00251"></a><span class="lineno"> 251</span>&#160; <span class="keyword">auto</span> vertices = <a class="code" href="../../dd/d9b/classgraph.html">graph</a>.getVertices();</div>
<div class="line"><a name="l00252"></a><span class="lineno"> 252</span>&#160; </div>
<div class="line"><a name="l00253"></a><span class="lineno"> 253</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;unsigned int&gt;</a> indegree(vertices, 0);</div>
<div class="line"><a name="l00254"></a><span class="lineno"> 254</span>&#160; <span class="comment">// Calculate the indegree i.e. the number of incident edges to the node.</span></div>
<div class="line"><a name="l00255"></a><span class="lineno"> 255</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">auto</span> <span class="keyword">const</span>&amp; <a class="code" href="../../d8/d10/structlist.html">list</a> : graphAjdList) {</div>
<div class="line"><a name="l00256"></a><span class="lineno"> 256</span>&#160; <span class="keyword">auto</span> children = <a class="code" href="../../d8/d10/structlist.html">list</a>.second;</div>
<div class="line"><a name="l00257"></a><span class="lineno"> 257</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">auto</span> <span class="keyword">const</span>&amp; child : children) {</div>
<div class="line"><a name="l00258"></a><span class="lineno"> 258</span>&#160; indegree[child]++;</div>
<div class="line"><a name="l00259"></a><span class="lineno"> 259</span>&#160; }</div>
<div class="line"><a name="l00260"></a><span class="lineno"> 260</span>&#160; }</div>
<div class="line"><a name="l00261"></a><span class="lineno"> 261</span>&#160; </div>
<div class="line"><a name="l00262"></a><span class="lineno"> 262</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/queue.html">std::queue&lt;unsigned int&gt;</a> can_be_solved;</div>
<div class="line"><a name="l00263"></a><span class="lineno"> 263</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> <a class="code" href="../../d5/da1/structnode.html">node</a> = 0; <a class="code" href="../../d5/da1/structnode.html">node</a> &lt; vertices; <a class="code" href="../../d5/da1/structnode.html">node</a>++) {</div>
<div class="line"><a name="l00264"></a><span class="lineno"> 264</span>&#160; <span class="comment">// If a node doesn&#39;t have any input edges, then that node will</span></div>
<div class="line"><a name="l00265"></a><span class="lineno"> 265</span>&#160; <span class="comment">// definately not result in a cycle and can be visited safely.</span></div>
<div class="line"><a name="l00266"></a><span class="lineno"> 266</span>&#160; <span class="keywordflow">if</span> (!indegree[<a class="code" href="../../d5/da1/structnode.html">node</a>]) {</div>
<div class="line"><a name="l00267"></a><span class="lineno"> 267</span>&#160; can_be_solved.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/queue/emplace.html">emplace</a>(<a class="code" href="../../d5/da1/structnode.html">node</a>);</div>
<div class="line"><a name="l00268"></a><span class="lineno"> 268</span>&#160; }</div>
<div class="line"><a name="l00269"></a><span class="lineno"> 269</span>&#160; }</div>
<div class="line"><a name="l00270"></a><span class="lineno"> 270</span>&#160; </div>
<div class="line"><a name="l00271"></a><span class="lineno"> 271</span>&#160; <span class="comment">// Visit all the children of the visited node.</span></div>
<div class="line"><a name="l00272"></a><span class="lineno"> 272</span>&#160; <span class="keywordflow">if</span> (<span class="keyword">auto</span> it = graphAjdList.find(front); it != graphAjdList.end()) {</div>
<div class="line"><a name="l00273"></a><span class="lineno"> 273</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">auto</span> child : it-&gt;second) {</div>
<div class="line"><a name="l00274"></a><span class="lineno"> 274</span>&#160; <span class="comment">// Check if we can visited the node safely.</span></div>
<div class="line"><a name="l00275"></a><span class="lineno"> 275</span>&#160; <span class="keywordflow">if</span> (--indegree[child] == 0) {</div>
<div class="line"><a name="l00276"></a><span class="lineno"> 276</span>&#160; <span class="comment">// if node can be visited safely, then add that node to</span></div>
<div class="line"><a name="l00277"></a><span class="lineno"> 277</span>&#160; <span class="comment">// the visit queue.</span></div>
<div class="line"><a name="l00278"></a><span class="lineno"> 278</span>&#160; can_be_solved.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/queue/emplace.html">emplace</a>(child);</div>
<div class="line"><a name="l00279"></a><span class="lineno"> 279</span>&#160; }</div>
<div class="line"><a name="l00280"></a><span class="lineno"> 280</span>&#160; }</div>
<div class="line"><a name="l00281"></a><span class="lineno"> 281</span>&#160; }</div>
<div class="line"><a name="l00282"></a><span class="lineno"> 282</span>&#160; }</div>
<div class="line"><a name="l00283"></a><span class="lineno"> 283</span>&#160; </div>
<div class="line"><a name="l00284"></a><span class="lineno"> 284</span>&#160; <span class="comment">// If there are still nodes that we can&#39;t visit, then it means that</span></div>
<div class="line"><a name="l00285"></a><span class="lineno"> 285</span>&#160; <span class="comment">// there is a cycle and return true, else return false.</span></div>
<div class="line"><a name="l00286"></a><span class="lineno"> 286</span>&#160; <span class="keywordflow">return</span> !(remain == 0);</div>
<div class="line"><a name="l00287"></a><span class="lineno"> 287</span>&#160; }</div>
<div class="line"><a name="l00271"></a><span class="lineno"> 271</span>&#160; <span class="comment">// Vertices that need to be traversed.</span></div>
<div class="line"><a name="l00272"></a><span class="lineno"> 272</span>&#160; <span class="keyword">auto</span> remain = vertices;</div>
<div class="line"><a name="l00273"></a><span class="lineno"> 273</span>&#160; <span class="comment">// While there are safe nodes that we can visit.</span></div>
<div class="line"><a name="l00274"></a><span class="lineno"> 274</span>&#160; <span class="keywordflow">while</span> (!can_be_solved.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/queue/empty.html">empty</a>()) {</div>
<div class="line"><a name="l00275"></a><span class="lineno"> 275</span>&#160; <span class="keyword">auto</span> solved = can_be_solved.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/queue/front.html">front</a>();</div>
<div class="line"><a name="l00276"></a><span class="lineno"> 276</span>&#160; <span class="comment">// Visit the node.</span></div>
<div class="line"><a name="l00277"></a><span class="lineno"> 277</span>&#160; can_be_solved.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/queue/pop.html">pop</a>();</div>
<div class="line"><a name="l00278"></a><span class="lineno"> 278</span>&#160; <span class="comment">// Decrease number of nodes that need to be traversed.</span></div>
<div class="line"><a name="l00279"></a><span class="lineno"> 279</span>&#160; remain--;</div>
<div class="line"><a name="l00280"></a><span class="lineno"> 280</span>&#160; </div>
<div class="line"><a name="l00281"></a><span class="lineno"> 281</span>&#160; <span class="comment">// Visit all the children of the visited node.</span></div>
<div class="line"><a name="l00282"></a><span class="lineno"> 282</span>&#160; <span class="keyword">auto</span> it = graphAjdList.find(solved);</div>
<div class="line"><a name="l00283"></a><span class="lineno"> 283</span>&#160; <span class="keywordflow">if</span> (it != graphAjdList.end()) {</div>
<div class="line"><a name="l00284"></a><span class="lineno"> 284</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">auto</span> child : it-&gt;second) {</div>
<div class="line"><a name="l00285"></a><span class="lineno"> 285</span>&#160; <span class="comment">// Check if we can visited the node safely.</span></div>
<div class="line"><a name="l00286"></a><span class="lineno"> 286</span>&#160; <span class="keywordflow">if</span> (--indegree[child] == 0) {</div>
<div class="line"><a name="l00287"></a><span class="lineno"> 287</span>&#160; <span class="comment">// if node can be visited safely, then add that node to</span></div>
<div class="line"><a name="l00288"></a><span class="lineno"> 288</span>&#160; <span class="comment">// the visit queue.</span></div>
<div class="line"><a name="l00289"></a><span class="lineno"> 289</span>&#160; can_be_solved.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/queue/emplace.html">emplace</a>(child);</div>
<div class="line"><a name="l00290"></a><span class="lineno"> 290</span>&#160; }</div>
<div class="line"><a name="l00291"></a><span class="lineno"> 291</span>&#160; }</div>
<div class="line"><a name="l00292"></a><span class="lineno"> 292</span>&#160; }</div>
<div class="line"><a name="l00293"></a><span class="lineno"> 293</span>&#160; }</div>
<div class="line"><a name="l00294"></a><span class="lineno"> 294</span>&#160; </div>
<div class="line"><a name="l00295"></a><span class="lineno"> 295</span>&#160; <span class="comment">// If there are still nodes that we can&#39;t visit, then it means that</span></div>
<div class="line"><a name="l00296"></a><span class="lineno"> 296</span>&#160; <span class="comment">// there is a cycle and return true, else return false.</span></div>
<div class="line"><a name="l00297"></a><span class="lineno"> 297</span>&#160; <span class="keywordflow">return</span> !(remain == 0);</div>
<div class="line"><a name="l00298"></a><span class="lineno"> 298</span>&#160; }</div>
</div><!-- fragment --><div class="dynheader">
Here is the call graph for this function:</div>
<div class="dyncontent">
@@ -244,37 +254,39 @@ Here is the call graph for this function:</div>
<p>State of the node.</p>
<p>It is a vector of "nodeStates" which represents the state node is in. It can take only 3 values: "not_visited", "in_stack", and "visited".</p>
<p>Initially, all nodes are in "not_visited" state.</p>
<div class="fragment"><div class="line"><a name="l00206"></a><span class="lineno"> 206</span>&#160; {<span class="comment"></span></div>
<div class="line"><a name="l00207"></a><span class="lineno"> 207</span>&#160;<span class="comment"> /** State of the node.</span></div>
<div class="line"><a name="l00208"></a><span class="lineno"> 208</span>&#160;<span class="comment"> *</span></div>
<div class="line"><a name="l00209"></a><span class="lineno"> 209</span>&#160;<span class="comment"> * It is a vector of &quot;nodeStates&quot; which represents the state node is in.</span></div>
<div class="line"><a name="l00210"></a><span class="lineno"> 210</span>&#160;<span class="comment"> * It can take only 3 values: &quot;not_visited&quot;, &quot;in_stack&quot;, and &quot;visited&quot;.</span></div>
<div class="line"><a name="l00211"></a><span class="lineno"> 211</span>&#160;<span class="comment"> *</span></div>
<div class="line"><a name="l00212"></a><span class="lineno"> 212</span>&#160;<span class="comment"> * Initially, all nodes are in &quot;not_visited&quot; state.</span></div>
<div class="line"><a name="l00213"></a><span class="lineno"> 213</span>&#160;<span class="comment"> */</span></div>
<div class="line"><a name="l00214"></a><span class="lineno"> 214</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;nodeStates&gt;</a> state(<a class="code" href="../../dd/d9b/classgraph.html">graph</a>.getVertices(), not_visited);</div>
<div class="line"><a name="l00215"></a><span class="lineno"> 215</span>&#160; </div>
<div class="line"><a name="l00216"></a><span class="lineno"> 216</span>&#160; <span class="comment">// Start visiting each node.</span></div>
<div class="line"><a name="l00217"></a><span class="lineno"> 217</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">auto</span> <a class="code" href="../../d5/da1/structnode.html">node</a> = 0; <a class="code" href="../../d5/da1/structnode.html">node</a> &lt; <a class="code" href="../../dd/d9b/classgraph.html">graph</a>.getVertices(); <a class="code" href="../../d5/da1/structnode.html">node</a>++) {</div>
<div class="line"><a name="l00218"></a><span class="lineno"> 218</span>&#160; <span class="comment">// If a node is not visited, only then check for presence of cycle.</span></div>
<div class="line"><a name="l00219"></a><span class="lineno"> 219</span>&#160; <span class="comment">// There is no need to check for presence of cycle for a visited</span></div>
<div class="line"><a name="l00220"></a><span class="lineno"> 220</span>&#160; <span class="comment">// node as it has already been checked for presence of cycle.</span></div>
<div class="line"><a name="l00221"></a><span class="lineno"> 221</span>&#160; <span class="keywordflow">if</span> (state[<a class="code" href="../../d5/da1/structnode.html">node</a>] == not_visited) {</div>
<div class="line"><a name="l00222"></a><span class="lineno"> 222</span>&#160; <span class="comment">// Check for cycle.</span></div>
<div class="line"><a name="l00223"></a><span class="lineno"> 223</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="../../d3/dbb/class_cycle_check.html#a2f4485c08b45e7a21a2e86f9c3f01d8b">isCyclicDFSHelper</a>(<a class="code" href="../../dd/d9b/classgraph.html">graph</a>.getAdjList(), &amp;state, <a class="code" href="../../d5/da1/structnode.html">node</a>)) {</div>
<div class="line"><a name="l00224"></a><span class="lineno"> 224</span>&#160; <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a name="l00225"></a><span class="lineno"> 225</span>&#160; }</div>
<div class="line"><a name="l00226"></a><span class="lineno"> 226</span>&#160; }</div>
<div class="line"><a name="l00227"></a><span class="lineno"> 227</span>&#160; }</div>
<div class="line"><a name="l00228"></a><span class="lineno"> 228</span>&#160; </div>
<div class="line"><a name="l00229"></a><span class="lineno"> 229</span>&#160; <span class="comment">// All nodes have been safely traversed, that means there is no cycle in</span></div>
<div class="line"><a name="l00230"></a><span class="lineno"> 230</span>&#160; <span class="comment">// the graph. Return false.</span></div>
<div class="line"><a name="l00231"></a><span class="lineno"> 231</span>&#160; <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a name="l00232"></a><span class="lineno"> 232</span>&#160; }</div>
<div class="fragment"><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; <span class="keyword">auto</span> vertices = <a class="code" href="../../dd/d9b/classgraph.html">graph</a>.getVertices();</div>
<div class="line"><a name="l00214"></a><span class="lineno"> 214</span>&#160;<span class="comment"></span> </div>
<div class="line"><a name="l00215"></a><span class="lineno"> 215</span>&#160;<span class="comment"> /** State of the node.</span></div>
<div class="line"><a name="l00216"></a><span class="lineno"> 216</span>&#160;<span class="comment"> *</span></div>
<div class="line"><a name="l00217"></a><span class="lineno"> 217</span>&#160;<span class="comment"> * It is a vector of &quot;nodeStates&quot; which represents the state node is in.</span></div>
<div class="line"><a name="l00218"></a><span class="lineno"> 218</span>&#160;<span class="comment"> * It can take only 3 values: &quot;not_visited&quot;, &quot;in_stack&quot;, and &quot;visited&quot;.</span></div>
<div class="line"><a name="l00219"></a><span class="lineno"> 219</span>&#160;<span class="comment"> *</span></div>
<div class="line"><a name="l00220"></a><span class="lineno"> 220</span>&#160;<span class="comment"> * Initially, all nodes are in &quot;not_visited&quot; state.</span></div>
<div class="line"><a name="l00221"></a><span class="lineno"> 221</span>&#160;<span class="comment"> */</span></div>
<div class="line"><a name="l00222"></a><span class="lineno"> 222</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;nodeStates&gt;</a> state(vertices, not_visited);</div>
<div class="line"><a name="l00223"></a><span class="lineno"> 223</span>&#160; </div>
<div class="line"><a name="l00224"></a><span class="lineno"> 224</span>&#160; <span class="comment">// Start visiting each node.</span></div>
<div class="line"><a name="l00225"></a><span class="lineno"> 225</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> <a class="code" href="../../d5/da1/structnode.html">node</a> = 0; <a class="code" href="../../d5/da1/structnode.html">node</a> &lt; vertices; <a class="code" href="../../d5/da1/structnode.html">node</a>++) {</div>
<div class="line"><a name="l00226"></a><span class="lineno"> 226</span>&#160; <span class="comment">// If a node is not visited, only then check for presence of cycle.</span></div>
<div class="line"><a name="l00227"></a><span class="lineno"> 227</span>&#160; <span class="comment">// There is no need to check for presence of cycle for a visited</span></div>
<div class="line"><a name="l00228"></a><span class="lineno"> 228</span>&#160; <span class="comment">// node as it has already been checked for presence of cycle.</span></div>
<div class="line"><a name="l00229"></a><span class="lineno"> 229</span>&#160; <span class="keywordflow">if</span> (state[<a class="code" href="../../d5/da1/structnode.html">node</a>] == not_visited) {</div>
<div class="line"><a name="l00230"></a><span class="lineno"> 230</span>&#160; <span class="comment">// Check for cycle.</span></div>
<div class="line"><a name="l00231"></a><span class="lineno"> 231</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="../../d3/dbb/class_cycle_check.html#a2f4485c08b45e7a21a2e86f9c3f01d8b">isCyclicDFSHelper</a>(<a class="code" href="../../dd/d9b/classgraph.html">graph</a>.getAdjList(), &amp;state, <a class="code" href="../../d5/da1/structnode.html">node</a>)) {</div>
<div class="line"><a name="l00232"></a><span class="lineno"> 232</span>&#160; <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a name="l00233"></a><span class="lineno"> 233</span>&#160; }</div>
<div class="line"><a name="l00234"></a><span class="lineno"> 234</span>&#160; }</div>
<div class="line"><a name="l00235"></a><span class="lineno"> 235</span>&#160; }</div>
<div class="line"><a name="l00236"></a><span class="lineno"> 236</span>&#160; </div>
<div class="line"><a name="l00237"></a><span class="lineno"> 237</span>&#160; <span class="comment">// All nodes have been safely traversed, that means there is no cycle in</span></div>
<div class="line"><a name="l00238"></a><span class="lineno"> 238</span>&#160; <span class="comment">// the graph. Return false.</span></div>
<div class="line"><a name="l00239"></a><span class="lineno"> 239</span>&#160; <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a name="l00240"></a><span class="lineno"> 240</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="../../d3/dbb/class_cycle_check_ad9a270ffba3a68539b92272c702e3474_cgraph.svg" width="664" height="104"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe>
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@@ -292,7 +304,7 @@ Here is the call graph for this function:</div>
<tr>
<td class="memname">static bool CycleCheck::isCyclicDFSHelper </td>
<td>(</td>
<td class="paramtype"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/unordered_map.html">AdjList</a> const &amp;&#160;</td>
<td class="paramtype"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/map.html">AdjList</a> const &amp;&#160;</td>
<td class="paramname"><em>adjList</em>, </td>
</tr>
<tr>
@@ -329,40 +341,41 @@ Here is the call graph for this function:</div>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>true if graph has a cycle, else false. </dd></dl>
<div class="fragment"><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="comment">// Add node &quot;in_stack&quot; state.</span></div>
<div class="line"><a name="l00169"></a><span class="lineno"> 169</span>&#160; (*state)[<a class="code" href="../../d1/df3/hash__search_8cpp.html#a8ca8dcb494104d273679e219e53d0555">node</a>] = in_stack;</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; <span class="comment">// If the node has children, then recursively visit all children of the</span></div>
<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>&#160; <span class="comment">// node.</span></div>
<div class="line"><a name="l00173"></a><span class="lineno"> 173</span>&#160; <span class="keywordflow">if</span> (<span class="keyword">auto</span> <span class="keyword">const</span>&amp; it = adjList.find(<a class="code" href="../../d5/da1/structnode.html">node</a>); it != adjList.end()) {</div>
<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">auto</span> child : it-&gt;second) {</div>
<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>&#160; <span class="comment">// If state of child node is &quot;not_visited&quot;, evaluate that child</span></div>
<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>&#160; <span class="comment">// for presence of cycle.</span></div>
<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>&#160; <span class="keywordflow">if</span> (<span class="keyword">auto</span> state_of_child = (*state)[child];</div>
<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>&#160; state_of_child == not_visited) {</div>
<div class="line"><a name="l00179"></a><span class="lineno"> 179</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="../../d3/dbb/class_cycle_check.html#a2f4485c08b45e7a21a2e86f9c3f01d8b">isCyclicDFSHelper</a>(adjList, state, child)) {</div>
<div class="line"><a name="l00180"></a><span class="lineno"> 180</span>&#160; <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>&#160; }</div>
<div class="line"><a name="l00182"></a><span class="lineno"> 182</span>&#160; } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (state_of_child == in_stack) {</div>
<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>&#160; <span class="comment">// If child node was &quot;in_stack&quot;, then that means that there</span></div>
<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>&#160; <span class="comment">// is a cycle in the graph. Return true for presence of the</span></div>
<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>&#160; <span class="comment">// cycle.</span></div>
<div class="line"><a name="l00186"></a><span class="lineno"> 186</span>&#160; <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a name="l00187"></a><span class="lineno"> 187</span>&#160; }</div>
<div class="line"><a name="l00188"></a><span class="lineno"> 188</span>&#160; }</div>
<div class="line"><a name="l00189"></a><span class="lineno"> 189</span>&#160; }</div>
<div class="line"><a name="l00190"></a><span class="lineno"> 190</span>&#160; </div>
<div class="line"><a name="l00191"></a><span class="lineno"> 191</span>&#160; <span class="comment">// Current node has been evaluated for the presence of cycle and had no</span></div>
<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>&#160; <span class="comment">// cycle. Mark current node as &quot;visited&quot;.</span></div>
<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>&#160; (*state)[<a class="code" href="../../d1/df3/hash__search_8cpp.html#a8ca8dcb494104d273679e219e53d0555">node</a>] = visited;</div>
<div class="line"><a name="l00194"></a><span class="lineno"> 194</span>&#160; <span class="comment">// Return that current node didn&#39;t result in any cycles.</span></div>
<div class="line"><a name="l00195"></a><span class="lineno"> 195</span>&#160; <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a name="l00196"></a><span class="lineno"> 196</span>&#160; }</div>
<div class="fragment"><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; <span class="comment">// Add node &quot;in_stack&quot; state.</span></div>
<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>&#160; (*state)[<a class="code" href="../../d1/df3/hash__search_8cpp.html#a8ca8dcb494104d273679e219e53d0555">node</a>] = in_stack;</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; <span class="comment">// If the node has children, then recursively visit all children of the</span></div>
<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>&#160; <span class="comment">// node.</span></div>
<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>&#160; <span class="keyword">auto</span> <span class="keyword">const</span> it = adjList.find(<a class="code" href="../../d5/da1/structnode.html">node</a>);</div>
<div class="line"><a name="l00179"></a><span class="lineno"> 179</span>&#160; <span class="keywordflow">if</span> (it != adjList.end()) {</div>
<div class="line"><a name="l00180"></a><span class="lineno"> 180</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">auto</span> child : it-&gt;second) {</div>
<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>&#160; <span class="comment">// If state of child node is &quot;not_visited&quot;, evaluate that child</span></div>
<div class="line"><a name="l00182"></a><span class="lineno"> 182</span>&#160; <span class="comment">// for presence of cycle.</span></div>
<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>&#160; <span class="keyword">auto</span> state_of_child = (*state)[child];</div>
<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>&#160; <span class="keywordflow">if</span> (state_of_child == not_visited) {</div>
<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="../../d3/dbb/class_cycle_check.html#a2f4485c08b45e7a21a2e86f9c3f01d8b">isCyclicDFSHelper</a>(adjList, state, child)) {</div>
<div class="line"><a name="l00186"></a><span class="lineno"> 186</span>&#160; <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a name="l00187"></a><span class="lineno"> 187</span>&#160; }</div>
<div class="line"><a name="l00188"></a><span class="lineno"> 188</span>&#160; } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (state_of_child == in_stack) {</div>
<div class="line"><a name="l00189"></a><span class="lineno"> 189</span>&#160; <span class="comment">// If child node was &quot;in_stack&quot;, then that means that there</span></div>
<div class="line"><a name="l00190"></a><span class="lineno"> 190</span>&#160; <span class="comment">// is a cycle in the graph. Return true for presence of the</span></div>
<div class="line"><a name="l00191"></a><span class="lineno"> 191</span>&#160; <span class="comment">// cycle.</span></div>
<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>&#160; <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>&#160; }</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; }</div>
<div class="line"><a name="l00196"></a><span class="lineno"> 196</span>&#160; </div>
<div class="line"><a name="l00197"></a><span class="lineno"> 197</span>&#160; <span class="comment">// Current node has been evaluated for the presence of cycle and had no</span></div>
<div class="line"><a name="l00198"></a><span class="lineno"> 198</span>&#160; <span class="comment">// cycle. Mark current node as &quot;visited&quot;.</span></div>
<div class="line"><a name="l00199"></a><span class="lineno"> 199</span>&#160; (*state)[<a class="code" href="../../d1/df3/hash__search_8cpp.html#a8ca8dcb494104d273679e219e53d0555">node</a>] = visited;</div>
<div class="line"><a name="l00200"></a><span class="lineno"> 200</span>&#160; <span class="comment">// Return that current node didn&#39;t result in any cycles.</span></div>
<div class="line"><a name="l00201"></a><span class="lineno"> 201</span>&#160; <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a name="l00202"></a><span class="lineno"> 202</span>&#160; }</div>
</div><!-- fragment --><div class="dynheader">
Here is the call graph for this function:</div>
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<div class="ttc" id="apop_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/queue/pop.html">std::queue::pop</a></div><div class="ttdeci">T pop(T... args)</div></div>
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<div class="ttc" id="astructlist_html"><div class="ttname"><a href="../../d8/d10/structlist.html">list</a></div><div class="ttdef"><b>Definition:</b> list_array.cpp:8</div></div>
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<div class="ttc" id="aclass_cycle_check_html"><div class="ttname"><a href="../../d3/dbb/class_cycle_check.html">CycleCheck</a></div><div class="ttdef"><b>Definition:</b> cycle_check_directed_graph.cpp:153</div></div>
<div class="ttc" id="aclass_cycle_check_html_a2f4485c08b45e7a21a2e86f9c3f01d8b"><div class="ttname"><a href="../../d3/dbb/class_cycle_check.html#a2f4485c08b45e7a21a2e86f9c3f01d8b">CycleCheck::isCyclicDFSHelper</a></div><div class="ttdeci">static bool isCyclicDFSHelper(AdjList const &amp;adjList, std::vector&lt; nodeStates &gt; *state, unsigned int node)</div><div class="ttdef"><b>Definition:</b> cycle_check_directed_graph.cpp:165</div></div>
<div class="ttc" id="aclass_cycle_check_html"><div class="ttname"><a href="../../d3/dbb/class_cycle_check.html">CycleCheck</a></div><div class="ttdef"><b>Definition:</b> cycle_check_directed_graph.cpp:158</div></div>
<div class="ttc" id="aclass_cycle_check_html_a2f4485c08b45e7a21a2e86f9c3f01d8b"><div class="ttname"><a href="../../d3/dbb/class_cycle_check.html#a2f4485c08b45e7a21a2e86f9c3f01d8b">CycleCheck::isCyclicDFSHelper</a></div><div class="ttdeci">static bool isCyclicDFSHelper(AdjList const &amp;adjList, std::vector&lt; nodeStates &gt; *state, unsigned int node)</div><div class="ttdef"><b>Definition:</b> cycle_check_directed_graph.cpp:170</div></div>
<div class="ttc" id="ahill__cipher_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../d7/db9/hill__cipher_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdef"><b>Definition:</b> hill_cipher.cpp:532</div></div>
<div class="ttc" id="aclasslarge__number_html_ab1af3e0f425cdf7ea2039c9dcfe22f0b"><div class="ttname"><a href="../../db/d82/classlarge__number.html#ab1af3e0f425cdf7ea2039c9dcfe22f0b">large_number::operator*=</a></div><div class="ttdeci">large_number &amp; operator*=(const T n)</div><div class="ttdef"><b>Definition:</b> large_number.h:238</div></div>
<div class="ttc" id="aclasslarge__number_html_a10119a83839e65962621b73df46a5337"><div class="ttname"><a href="../../db/d82/classlarge__number.html#a10119a83839e65962621b73df46a5337">large_number::large_number</a></div><div class="ttdeci">large_number()</div><div class="ttdef"><b>Definition:</b> large_number.h:27</div></div>
@@ -535,17 +537,16 @@ $(document).ready(function(){initNavTree('d4/d86/large__number_8h_source.html','
<div class="ttc" id="ahash__search_8cpp_html_a566eaf0ffafd50bc61e644561fd27001"><div class="ttname"><a href="../../d1/df3/hash__search_8cpp.html#a566eaf0ffafd50bc61e644561fd27001">h</a></div><div class="ttdeci">int h(int key)</div><div class="ttdef"><b>Definition:</b> hash_search.cpp:45</div></div>
<div class="ttc" id="abasic_ofstream_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/basic_ofstream.html">std::ofstream</a></div><div class="ttdoc">STL class.</div></div>
<div class="ttc" id="astruct_segment_intersection_html_a3beb2ac1b35d67354f1dbaf9a971e655"><div class="ttname"><a href="../../d4/db4/struct_segment_intersection.html#a3beb2ac1b35d67354f1dbaf9a971e655">SegmentIntersection::direction</a></div><div class="ttdeci">int direction(Point first_point, Point second_point, Point third_point)</div><div class="ttdef"><b>Definition:</b> line_segment_intersection.cpp:63</div></div>
<div class="ttc" id="aclass_graph_html_ae8959064e179573cc48f8cee99115c07"><div class="ttname"><a href="../../da/d9a/class_graph.html#ae8959064e179573cc48f8cee99115c07">Graph::getAdjList</a></div><div class="ttdeci">std::remove_reference_t&lt; AdjList &gt; const &amp; getAdjList() const</div><div class="ttdef"><b>Definition:</b> cycle_check_directed_graph.cpp:105</div></div>
<div class="ttc" id="aclassmachine__learning_1_1adaline_html_a28160d17e492597a2f112e0d38551cda"><div class="ttname"><a href="../../d6/d30/classmachine__learning_1_1adaline.html#a28160d17e492597a2f112e0d38551cda">machine_learning::adaline::eta</a></div><div class="ttdeci">const double eta</div><div class="ttdoc">learning rate of the algorithm</div><div class="ttdef"><b>Definition:</b> adaline_learning.cpp:207</div></div>
<div class="ttc" id="amin_element_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/algorithm/min_element.html">std::min_element</a></div><div class="ttdeci">T min_element(T... args)</div></div>
<div class="ttc" id="aeulers__totient__function_8cpp_html_a35e4874a3e1d67eb708dc57944c8aea0"><div class="ttname"><a href="../../da/d23/eulers__totient__function_8cpp.html#a35e4874a3e1d67eb708dc57944c8aea0">phiFunction</a></div><div class="ttdeci">uint64_t phiFunction(uint64_t n)</div><div class="ttdef"><b>Definition:</b> eulers_totient_function.cpp:32</div></div>
<div class="ttc" id="apop_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/queue/pop.html">std::queue::pop</a></div><div class="ttdeci">T pop(T... args)</div></div>
<div class="ttc" id="atop_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/stack/top.html">std::stack::top</a></div><div class="ttdeci">T top(T... args)</div></div>
<div class="ttc" id="aclass_edge_html_a415a5d002fe11c58711e48aabe975980"><div class="ttname"><a href="../../d7/d77/class_edge.html#a415a5d002fe11c58711e48aabe975980">Edge::Edge</a></div><div class="ttdeci">Edge(unsigned int source, unsigned int destination)</div><div class="ttdef"><b>Definition:</b> cycle_check_directed_graph.cpp:42</div></div>
<div class="ttc" id="aclass_edge_html_a415a5d002fe11c58711e48aabe975980"><div class="ttname"><a href="../../d7/d77/class_edge.html#a415a5d002fe11c58711e48aabe975980">Edge::Edge</a></div><div class="ttdeci">Edge(unsigned int source, unsigned int destination)</div><div class="ttdef"><b>Definition:</b> cycle_check_directed_graph.cpp:40</div></div>
<div class="ttc" id="aclass_trie_html_a6af57e9f25d0d0a2d59eea5a4a802908"><div class="ttname"><a href="../../dd/d2f/class_trie.html#a6af57e9f25d0d0a2d59eea5a4a802908">Trie::Trie</a></div><div class="ttdeci">Trie()</div><div class="ttdoc">constructor to initialise the root of the trie.</div><div class="ttdef"><b>Definition:</b> trie_modern.cpp:103</div></div>
<div class="ttc" id="astructmst_html"><div class="ttname"><a href="../../d1/d77/structmst.html">mst</a></div><div class="ttdef"><b>Definition:</b> prims_minimum_spanning_tree.cpp:9</div></div>
<div class="ttc" id="aarray_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/array.html">std::array</a></div><div class="ttdoc">STL class.</div></div>
<div class="ttc" id="aclass_graph_html_ac85c63bcca4764a621f9f8609a8e5910"><div class="ttname"><a href="../../da/d9a/class_graph.html#ac85c63bcca4764a621f9f8609a8e5910">Graph::addEdge</a></div><div class="ttdeci">void addEdge(unsigned int source, unsigned int destination)</div><div class="ttdef"><b>Definition:</b> cycle_check_directed_graph.cpp:140</div></div>
<div class="ttc" id="aclass_graph_html_ac85c63bcca4764a621f9f8609a8e5910"><div class="ttname"><a href="../../da/d9a/class_graph.html#ac85c63bcca4764a621f9f8609a8e5910">Graph::addEdge</a></div><div class="ttdeci">void addEdge(unsigned int source, unsigned int destination)</div><div class="ttdef"><b>Definition:</b> cycle_check_directed_graph.cpp:136</div></div>
<div class="ttc" id="amath_2armstrong__number_8cpp_html_ae1a3968e7947464bee7714f6d43b7002"><div class="ttname"><a href="../../d4/d5d/math_2armstrong__number_8cpp.html#ae1a3968e7947464bee7714f6d43b7002">test</a></div><div class="ttdeci">void test()</div><div class="ttdef"><b>Definition:</b> armstrong_number.cpp:59</div></div>
<div class="ttc" id="aclose_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/basic_ofstream/close.html">std::ofstream::close</a></div><div class="ttdeci">T close(T... args)</div></div>
<div class="ttc" id="afactorial_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../d9/d00/factorial_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdef"><b>Definition:</b> factorial.cpp:15</div></div>
@@ -576,10 +577,11 @@ $(document).ready(function(){initNavTree('d4/d86/large__number_8h_source.html','
<div class="ttc" id="amatrix__exponentiation_8cpp_html_a600eaf353befc174637855795f12d258"><div class="ttname"><a href="../../d7/d35/matrix__exponentiation_8cpp.html#a600eaf353befc174637855795f12d258">endl</a></div><div class="ttdeci">#define endl</div><div class="ttdef"><b>Definition:</b> matrix_exponentiation.cpp:36</div></div>
<div class="ttc" id="aclassstack_html_a5705c3926dcf5fd3f9c964467a50b81d"><div class="ttname"><a href="../../d1/dc2/classstack.html#a5705c3926dcf5fd3f9c964467a50b81d">stack::push</a></div><div class="ttdeci">void push(Type item)</div><div class="ttdef"><b>Definition:</b> stack.h:83</div></div>
<div class="ttc" id="akohonen__som__trace_8cpp_html_a0283886819c7c140a023582b7269e2d0"><div class="ttname"><a href="../../d9/d49/kohonen__som__trace_8cpp.html#a0283886819c7c140a023582b7269e2d0">test2</a></div><div class="ttdeci">void test2()</div><div class="ttdef"><b>Definition:</b> kohonen_som_trace.cpp:315</div></div>
<div class="ttc" id="amap_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/map.html">std::map&lt; unsigned int, std::vector&lt; unsigned int &gt; &gt;</a></div></div>
<div class="ttc" id="ais_integral_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/types/is_integral.html">std::is_integral</a></div></div>
<div class="ttc" id="acheck__prime_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../db/d93/check__prime_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdef"><b>Definition:</b> check_prime.cpp:45</div></div>
<div class="ttc" id="alarge__factorial_8cpp_html_a76aae4778fbe89a3d59fd61fbc050cfa"><div class="ttname"><a href="../../d6/d9d/large__factorial_8cpp.html#a76aae4778fbe89a3d59fd61fbc050cfa">test2</a></div><div class="ttdeci">bool test2()</div><div class="ttdef"><b>Definition:</b> large_factorial.cpp:54</div></div>
<div class="ttc" id="aclass_graph_html_a8c95e00effaea0cd9404dd74cd802ae3"><div class="ttname"><a href="../../da/d9a/class_graph.html#a8c95e00effaea0cd9404dd74cd802ae3">Graph::Graph</a></div><div class="ttdeci">Graph(unsigned int vertices, AdjList &amp;&amp;adjList)</div><div class="ttdef"><b>Definition:</b> cycle_check_directed_graph.cpp:78</div></div>
<div class="ttc" id="aclass_graph_html_a8c95e00effaea0cd9404dd74cd802ae3"><div class="ttname"><a href="../../da/d9a/class_graph.html#a8c95e00effaea0cd9404dd74cd802ae3">Graph::Graph</a></div><div class="ttdeci">Graph(unsigned int vertices, AdjList &amp;&amp;adjList)</div><div class="ttdef"><b>Definition:</b> cycle_check_directed_graph.cpp:76</div></div>
<div class="ttc" id="apriority_queue_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/priority_queue.html">std::priority_queue</a></div><div class="ttdoc">STL class.</div></div>
<div class="ttc" id="arand_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/random/rand.html">std::rand</a></div><div class="ttdeci">T rand(T... args)</div></div>
<div class="ttc" id="agroup__machine__learning_html_ga6c606bc85a3e9fd9d010f874ad760336"><div class="ttname"><a href="../../d9/d66/group__machine__learning.html#ga6c606bc85a3e9fd9d010f874ad760336">save_2d_data</a></div><div class="ttdeci">int save_2d_data(const char *fname, const std::vector&lt; std::valarray&lt; double &gt;&gt; &amp;X)</div><div class="ttdef"><b>Definition:</b> kohonen_som_topology.cpp:65</div></div>
@@ -596,6 +598,7 @@ $(document).ready(function(){initNavTree('d4/d86/large__number_8h_source.html','
<div class="ttc" id="aclass_complex_html_af8aacf982e2e6c142921bc850f6dc974"><div class="ttname"><a href="../../da/d5a/class_complex.html#af8aacf982e2e6c142921bc850f6dc974">Complex::imag</a></div><div class="ttdeci">double imag() const</div><div class="ttdoc">Member function to get imaginary value of our complex number. Member function (getter) to access the ...</div><div class="ttdef"><b>Definition:</b> complex_numbers.cpp:70</div></div>
<div class="ttc" id="around_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/math/round.html">std::round</a></div><div class="ttdeci">T round(T... args)</div></div>
<div class="ttc" id="anamespacespirograph_html_a8e83a64e8443fff1e5ffdc1c299c1e99"><div class="ttname"><a href="../../da/dd3/namespacespirograph.html#a8e83a64e8443fff1e5ffdc1c299c1e99">spirograph::test</a></div><div class="ttdeci">void test()</div><div class="ttdoc">Test function to save resulting points to a CSV file.</div><div class="ttdef"><b>Definition:</b> spirograph.cpp:93</div></div>
<div class="ttc" id="aremove_reference_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/types/remove_reference.html">std::remove_reference</a></div></div>
<div class="ttc" id="aclassqueue_html"><div class="ttname"><a href="../../db/da9/classqueue.html">queue</a></div><div class="ttdef"><b>Definition:</b> queue.h:17</div></div>
<div class="ttc" id="aclasslarge__number_html_a959c5c1a982949bbf98e1ea0f9afe6a9"><div class="ttname"><a href="../../db/d82/classlarge__number.html#a959c5c1a982949bbf98e1ea0f9afe6a9">large_number::test</a></div><div class="ttdeci">static bool test()</div><div class="ttdef"><b>Definition:</b> large_number.h:65</div></div>
<div class="ttc" id="aordinary__least__squares__regressor_8cpp_html_a38ff1d954e9b7de93eb20e2dd101a045"><div class="ttname"><a href="../../dc/d38/ordinary__least__squares__regressor_8cpp.html#a38ff1d954e9b7de93eb20e2dd101a045">fit_OLS_regressor</a></div><div class="ttdeci">std::vector&lt; float &gt; fit_OLS_regressor(std::vector&lt; std::vector&lt; T &gt;&gt; const &amp;X, std::vector&lt; T &gt; const &amp;Y)</div><div class="ttdef"><b>Definition:</b> ordinary_least_squares_regressor.cpp:321</div></div>
@@ -642,7 +645,6 @@ $(document).ready(function(){initNavTree('d4/d86/large__number_8h_source.html','
<div class="ttc" id="acheck__amicable__pair_8cpp_html_ae1a3968e7947464bee7714f6d43b7002"><div class="ttname"><a href="../../d5/df6/check__amicable__pair_8cpp.html#ae1a3968e7947464bee7714f6d43b7002">test</a></div><div class="ttdeci">void test()</div><div class="ttdef"><b>Definition:</b> check_amicable_pair.cpp:56</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="aclass_graph_html_a8aa88a88269773cc4dba255dec035898"><div class="ttname"><a href="../../da/d9a/class_graph.html#a8aa88a88269773cc4dba255dec035898">Graph::getVertices</a></div><div class="ttdeci">std::remove_reference_t&lt; unsigned int &gt; const &amp; getVertices() const</div><div class="ttdef"><b>Definition:</b> cycle_check_directed_graph.cpp:112</div></div>
<div class="ttc" id="acomplex_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/complex.html">std::complex</a></div><div class="ttdoc">STL class.</div></div>
<div class="ttc" id="astr_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/basic_stringstream/str.html">std::stringstream::str</a></div><div class="ttdeci">T str(T... args)</div></div>
<div class="ttc" id="aimag_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/complex/imag.html">std::complex::imag</a></div><div class="ttdeci">T imag(T... args)</div></div>
@@ -670,17 +672,16 @@ $(document).ready(function(){initNavTree('d4/d86/large__number_8h_source.html','
<div class="ttc" id="akohonen__som__topology_8cpp_html_a0e7435446ed7c763f7de79a468add2e0"><div class="ttname"><a href="../../d4/def/kohonen__som__topology_8cpp.html#a0e7435446ed7c763f7de79a468add2e0">test_3d_classes2</a></div><div class="ttdeci">void test_3d_classes2(std::vector&lt; std::valarray&lt; double &gt;&gt; *data)</div><div class="ttdef"><b>Definition:</b> kohonen_som_topology.cpp:493</div></div>
<div class="ttc" id="aparanthesis__matching_8cpp_html_a6d25c7dfbfeb52c3cb9d1b56ab49b664"><div class="ttname"><a href="../../dc/dc5/paranthesis__matching_8cpp.html#a6d25c7dfbfeb52c3cb9d1b56ab49b664">pop</a></div><div class="ttdeci">char pop()</div><div class="ttdoc">pop a byte out of stack variable</div><div class="ttdef"><b>Definition:</b> paranthesis_matching.cpp:29</div></div>
<div class="ttc" id="agroup__machine__learning_html_gaf5ce14f026d6d231bef29161bac2b485"><div class="ttname"><a href="../../d9/d66/group__machine__learning.html#gaf5ce14f026d6d231bef29161bac2b485">_random</a></div><div class="ttdeci">double _random(double a, double b)</div><div class="ttdef"><b>Definition:</b> kohonen_som_topology.cpp:53</div></div>
<div class="ttc" id="aclass_graph_html_af765dda8f21280e1cecea19e129f1bc5"><div class="ttname"><a href="../../da/d9a/class_graph.html#af765dda8f21280e1cecea19e129f1bc5">Graph::addEdge</a></div><div class="ttdeci">void addEdge(Edge const &amp;edge)</div><div class="ttdef"><b>Definition:</b> cycle_check_directed_graph.cpp:128</div></div>
<div class="ttc" id="aclass_graph_html_af765dda8f21280e1cecea19e129f1bc5"><div class="ttname"><a href="../../da/d9a/class_graph.html#af765dda8f21280e1cecea19e129f1bc5">Graph::addEdge</a></div><div class="ttdeci">void addEdge(Edge const &amp;edge)</div><div class="ttdef"><b>Definition:</b> cycle_check_directed_graph.cpp:124</div></div>
<div class="ttc" id="afast__power_8cpp_html_a0d4e3f0099a6975b74a314a35bd0f94d"><div class="ttname"><a href="../../d2/d0b/fast__power_8cpp.html#a0d4e3f0099a6975b74a314a35bd0f94d">fast_power_linear</a></div><div class="ttdeci">double fast_power_linear(T a, T b)</div><div class="ttdef"><b>Definition:</b> fast_power.cpp:50</div></div>
<div class="ttc" id="anamespacespirograph_html_aeca22dbe4563358960e907a40cd3e1ac"><div class="ttname"><a href="../../da/dd3/namespacespirograph.html#aeca22dbe4563358960e907a40cd3e1ac">spirograph::spirograph</a></div><div class="ttdeci">void spirograph(std::array&lt; std::pair&lt; double, double &gt;, N &gt; *points, double l, double k, double rot)</div><div class="ttdef"><b>Definition:</b> spirograph.cpp:70</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="aclass_graph_html_ae30edce9b4e7c6347e67edc343f366d8"><div class="ttname"><a href="../../da/d9a/class_graph.html#ae30edce9b4e7c6347e67edc343f366d8">Graph::Graph</a></div><div class="ttdeci">Graph(unsigned int vertices, AdjList const &amp;adjList)</div><div class="ttdef"><b>Definition:</b> cycle_check_directed_graph.cpp:70</div></div>
<div class="ttc" id="aclass_graph_html_ae30edce9b4e7c6347e67edc343f366d8"><div class="ttname"><a href="../../da/d9a/class_graph.html#ae30edce9b4e7c6347e67edc343f366d8">Graph::Graph</a></div><div class="ttdeci">Graph(unsigned int vertices, AdjList const &amp;adjList)</div><div class="ttdef"><b>Definition:</b> cycle_check_directed_graph.cpp:68</div></div>
<div class="ttc" id="aclasslarge__number_html_ac4fafa6289295419d48d444f0ae4b706"><div class="ttname"><a href="../../db/d82/classlarge__number.html#ac4fafa6289295419d48d444f0ae4b706">large_number::operator++</a></div><div class="ttdeci">large_number &amp; operator++(int)</div><div class="ttdef"><b>Definition:</b> large_number.h:183</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>
<div class="ttc" id="apartition_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/algorithm/partition.html">std::partition</a></div><div class="ttdeci">T partition(T... args)</div></div>
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<div class="ttc" id="aunordered_map_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/unordered_map.html">std::unordered_map&lt; unsigned int, std::vector&lt; unsigned int &gt; &gt;</a></div></div>
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<div class="ttc" id="aclasslarge__number_html_a70d23d67535e67030db570e56c00e16d"><div class="ttname"><a href="../../db/d82/classlarge__number.html#a70d23d67535e67030db570e56c00e16d">large_number::operator+</a></div><div class="ttdeci">friend large_number &amp; operator+(const large_number &amp;a, const T &amp;b)</div><div class="ttdef"><b>Definition:</b> large_number.h:220</div></div>

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int&#160;</td><td class="memItemRight" valign="bottom"><b>residual_capacity</b> [MAXN][MAXN]</td></tr>
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<td class="paramtype"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/unordered_map.html">AdjList</a> const &amp;&#160;</td>
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<div class="fragment"><div class="line"><a name="l00071"></a><span class="lineno"> 71</span>&#160; : m_vertices(vertices), m_adjList(adjList) {}</div>
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<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>&#160; <span class="keywordflow">throw</span> <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/error/range_error.html">std::range_error</a>(</div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>&#160; <span class="stringliteral">&quot;Either src or dest of edge out of range&quot;</span>);</div>
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<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>&#160; }</div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>&#160; }</div>
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<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">auto</span> <span class="keyword">const</span>&amp; edge : edges) {</div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>&#160; <span class="keywordflow">if</span> (edge.src &gt;= vertices || edge.dest &gt;= vertices) {</div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>&#160; <span class="keywordflow">throw</span> <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/error/range_error.html">std::range_error</a>(</div>
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