Documentation for 7559610a84

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2020-08-08 12:32:51 +00:00
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212 changed files with 6178 additions and 4573 deletions

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<div class="ttc" id="ainsertion__sort_8cpp_html_a88ec9ad42717780d6caaff9d3d6977f9"><div class="ttname"><a href="../../dd/d0d/insertion__sort_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">tests</a></div><div class="ttdeci">void tests()</div><div class="ttdef"><b>Definition:</b> insertion_sort.cpp:109</div></div>

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@@ -161,8 +161,8 @@ Static Private Member Functions</h2></td></tr>
</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="l00249"></a><span class="lineno"> 249</span>&#160; {</div>
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<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="l00250"></a><span class="lineno"> 250</span>&#160; <span class="keyword">auto</span> graphAjdList = <a class="code" href="../../df/dce/namespacegraph.html">graph</a>.getAdjList();</div>
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<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>
@@ -255,7 +255,7 @@ Here is the call graph for this function:</div>
<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="l00212"></a><span class="lineno"> 212</span>&#160; {</div>
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<div class="line"><a name="l00213"></a><span class="lineno"> 213</span>&#160; <span class="keyword">auto</span> vertices = <a class="code" href="../../df/dce/namespacegraph.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>
@@ -273,7 +273,7 @@ Here is the call graph for this function:</div>
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<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="../../df/dce/namespacegraph.html">graph</a>.getAdjList(), &amp;state, <a class="code" href="../../d5/da1/structnode.html">node</a>)) {</div>
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<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>
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<div class="ttc" id="aclassgraph_html"><div class="ttname"><a href="../../dd/d9b/classgraph.html">graph</a></div><div class="ttdef"><b>Definition:</b> bfs.cpp:3</div></div>
<div class="ttc" id="avector_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt; unsigned int &gt;</a></div></div>
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<div class="ttc" id="astructnode_html"><div class="ttname"><a href="../../d5/da1/structnode.html">node</a></div><div class="ttdef"><b>Definition:</b> avltree.cpp:13</div></div>
@@ -395,6 +394,7 @@ Here is the call graph for this function:</div>
<div class="ttc" id="afront_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/queue/front.html">std::queue::front</a></div><div class="ttdeci">T front(T... args)</div></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>
<div class="ttc" id="anamespacegraph_html"><div class="ttname"><a href="../../df/dce/namespacegraph.html">graph</a></div><div class="ttdoc">Graph algorithms.</div></div>
<div class="ttc" id="aempty_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/queue/empty.html">std::queue::empty</a></div><div class="ttdeci">T empty(T... args)</div></div>
<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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@@ -396,6 +396,7 @@ $(document).ready(function(){initNavTree('d4/d86/large__number_8h_source.html','
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<div class="ttc" id="asetprecision_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/manip/setprecision.html">std::setprecision</a></div><div class="ttdeci">T setprecision(T... args)</div></div>
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<div class="ttc" id="aresize_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector/resize.html">std::vector::resize</a></div><div class="ttdeci">T resize(T... args)</div></div>
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<div class="ttc" id="adomain_error_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/error/domain_error.html">std::domain_error</a></div><div class="ttdoc">STL class.</div></div>
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<div class="ttc" id="aclass_graph_html_ac5a4d9a4f894a179198936042c778413"><div class="ttname"><a href="../../da/d9a/class_graph.html#ac5a4d9a4f894a179198936042c778413">Graph::addVertices</a></div><div class="ttdeci">void addVertices(unsigned int num=1)</div><div class="ttdef"><b>Definition:</b> cycle_check_directed_graph.cpp:118</div></div>
@@ -430,7 +432,6 @@ $(document).ready(function(){initNavTree('d4/d86/large__number_8h_source.html','
<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="apair_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/utility/pair.html">std::pair</a></div></div>
<div class="ttc" id="aclassgraph_html"><div class="ttname"><a href="../../dd/d9b/classgraph.html">graph</a></div><div class="ttdef"><b>Definition:</b> bfs.cpp:3</div></div>
<div class="ttc" id="adouble__factorial_8cpp_html_a0a3c417360400093891a9ccddaa4be26"><div class="ttname"><a href="../../d7/d89/double__factorial_8cpp.html#a0a3c417360400093891a9ccddaa4be26">double_factorial_iterative</a></div><div class="ttdeci">uint64_t double_factorial_iterative(uint64_t n)</div><div class="ttdef"><b>Definition:</b> double_factorial.cpp:17</div></div>
<div class="ttc" id="anamespacedouble__hashing_html_a5d06e4598569526294f10104875f6824"><div class="ttname"><a href="../../d0/d65/namespacedouble__hashing.html#a5d06e4598569526294f10104875f6824">double_hashing::removalInfo</a></div><div class="ttdeci">void removalInfo(int key)</div><div class="ttdef"><b>Definition:</b> double_hash_hash_table.cpp:227</div></div>
<div class="ttc" id="aclasshash__chain_html_a55aa5c6753cb8853152d469c375d946a"><div class="ttname"><a href="../../dd/d1c/classhash__chain.html#a55aa5c6753cb8853152d469c375d946a">hash_chain::find</a></div><div class="ttdeci">bool find(int x, int h) const</div><div class="ttdoc">Find if a value and corresponding hash exist.</div><div class="ttdef"><b>Definition:</b> chaining.cpp:101</div></div>
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<div class="ttc" id="afscanf_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/c/fscanf.html">std::scanf</a></div><div class="ttdeci">T scanf(T... args)</div></div>
<div class="ttc" id="akohonen__som__trace_8cpp_html_a2256c10b16edba377b64a44b6c656908"><div class="ttname"><a href="../../d9/d49/kohonen__som__trace_8cpp.html#a2256c10b16edba377b64a44b6c656908">get_clock_diff</a></div><div class="ttdeci">double get_clock_diff(clock_t start_t, clock_t end_t)</div><div class="ttdef"><b>Definition:</b> kohonen_som_trace.cpp:452</div></div>
<div class="ttc" id="ahill__cipher_8cpp_html_a04391124480d2a49f2dec900237b0712"><div class="ttname"><a href="../../d7/db9/hill__cipher_8cpp.html#a04391124480d2a49f2dec900237b0712">test2</a></div><div class="ttdeci">void test2(const std::string &amp;text)</div><div class="ttdoc">Self test 2 - using 8x8 randomly generated key.</div><div class="ttdef"><b>Definition:</b> hill_cipher.cpp:505</div></div>
<div class="ttc" id="anamespacegraph_html_adbe6cd1fd148173ce6a01669925d2d72"><div class="ttname"><a href="../../df/dce/namespacegraph.html#adbe6cd1fd148173ce6a01669925d2d72">graph::add_directed_edge</a></div><div class="ttdeci">void add_directed_edge(std::vector&lt; std::vector&lt; int &gt;&gt; *graph, int u, int v)</div><div class="ttdoc">Adds a directed edge from vertex u to vertex v.</div><div class="ttdef"><b>Definition:</b> breadth_first_search.cpp:66</div></div>
<div class="ttc" id="asetfill_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/manip/setfill.html">std::setfill</a></div><div class="ttdeci">T setfill(T... args)</div></div>
<div class="ttc" id="areverse_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/algorithm/reverse.html">std::reverse</a></div><div class="ttdeci">T reverse(T... args)</div></div>
<div class="ttc" id="aclass_graph_html_aa99d44d3179d5bbbfa84a5031cf80cb1"><div class="ttname"><a href="../../da/d9a/class_graph.html#aa99d44d3179d5bbbfa84a5031cf80cb1">Graph::Graph</a></div><div class="ttdeci">Graph(unsigned int vertices, std::vector&lt; Edge &gt; const &amp;edges)</div><div class="ttdef"><b>Definition:</b> cycle_check_directed_graph.cpp:88</div></div>
@@ -514,6 +516,7 @@ $(document).ready(function(){initNavTree('d4/d86/large__number_8h_source.html','
<div class="ttc" id="aclassmachine__learning_1_1adaline_html_ac8a9c2aaaa63b0f27ea176857e1e7d56"><div class="ttname"><a href="../../d6/d30/classmachine__learning_1_1adaline.html#ac8a9c2aaaa63b0f27ea176857e1e7d56">machine_learning::adaline::check_size_match</a></div><div class="ttdeci">bool check_size_match(const std::vector&lt; double &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> adaline_learning.cpp:196</div></div>
<div class="ttc" id="asqrt_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/math/sqrt.html">std::sqrt</a></div><div class="ttdeci">T sqrt(T... args)</div></div>
<div class="ttc" id="aparanthesis__matching_8cpp_html_af4c937d823c412d99fbe60c99dbf0a4f"><div class="ttname"><a href="../../dc/dc5/paranthesis__matching_8cpp.html#af4c937d823c412d99fbe60c99dbf0a4f">stack_idx</a></div><div class="ttdeci">int stack_idx</div><div class="ttdoc">pointer to track stack index</div><div class="ttdef"><b>Definition:</b> paranthesis_matching.cpp:23</div></div>
<div class="ttc" id="abreadth__first__search_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../df/d82/breadth__first__search_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdef"><b>Definition:</b> breadth_first_search.cpp:161</div></div>
<div class="ttc" id="akohonen__som__trace_8cpp_html_a1440a7779ac56f47a3f355ce4a8c7da0"><div class="ttname"><a href="../../d9/d49/kohonen__som__trace_8cpp.html#a1440a7779ac56f47a3f355ce4a8c7da0">test1</a></div><div class="ttdeci">void test1()</div><div class="ttdef"><b>Definition:</b> kohonen_som_trace.cpp:233</div></div>
<div class="ttc" id="aclear_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector/clear.html">std::vector::clear</a></div><div class="ttdeci">T clear(T... args)</div></div>
<div class="ttc" id="aclasshash__chain_html_a6b4b4de1a8c96f98a63a77f650a9dcff"><div class="ttname"><a href="../../dd/d1c/classhash__chain.html#a6b4b4de1a8c96f98a63a77f650a9dcff">hash_chain::add</a></div><div class="ttdeci">void add(int x, int h)</div><div class="ttdoc">create and add a new node with a give value and at a given height</div><div class="ttdef"><b>Definition:</b> chaining.cpp:45</div></div>
@@ -618,6 +621,7 @@ $(document).ready(function(){initNavTree('d4/d86/large__number_8h_source.html','
<div class="ttc" id="anamespacequadratic__probing_html_a312143ed316d48978084c025ff8d9768"><div class="ttname"><a href="../../d4/dd2/namespacequadratic__probing.html#a312143ed316d48978084c025ff8d9768">quadratic_probing::addInfo</a></div><div class="ttdeci">void addInfo(int key)</div><div class="ttdef"><b>Definition:</b> quadratic_probing_hash_table.cpp:207</div></div>
<div class="ttc" id="anamespacedouble__hashing_html_a1e901418c759627557eff359b8db38cd"><div class="ttname"><a href="../../d0/d65/namespacedouble__hashing.html#a1e901418c759627557eff359b8db38cd">double_hashing::display</a></div><div class="ttdeci">void display()</div><div class="ttdef"><b>Definition:</b> double_hash_hash_table.cpp:143</div></div>
<div class="ttc" id="anamespacedouble__hashing_html_a28083ecac6eb94b643281875c8665931"><div class="ttname"><a href="../../d0/d65/namespacedouble__hashing.html#a28083ecac6eb94b643281875c8665931">double_hashing::remove</a></div><div class="ttdeci">void remove(int key)</div><div class="ttdef"><b>Definition:</b> double_hash_hash_table.cpp:199</div></div>
<div class="ttc" id="anamespacegraph_html_a59b4441a0e447469e9a4f61c87f33102"><div class="ttname"><a href="../../df/dce/namespacegraph.html#a59b4441a0e447469e9a4f61c87f33102">graph::add_undirected_edge</a></div><div class="ttdeci">void add_undirected_edge(std::vector&lt; std::vector&lt; int &gt;&gt; *graph, int u, int v)</div><div class="ttdoc">Adds an undirected edge from vertex u to vertex v. Essentially adds too directed edges to the adjacen...</div><div class="ttdef"><b>Definition:</b> breadth_first_search.cpp:81</div></div>
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<div class="ttc" id="ahamiltons__cycle_8cpp_html_a3c04138a5bfe5d72780bb7e82a18e627"><div class="ttname"><a href="../../dd/d0c/hamiltons__cycle_8cpp.html#a3c04138a5bfe5d72780bb7e82a18e627">main</a></div><div class="ttdeci">int main(int argc, char **argv)</div><div class="ttdef"><b>Definition:</b> hamiltons_cycle.cpp:142</div></div>
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<div class="ttc" id="aavltree_8cpp_html_a8286388b0743a716145639df3a33e541"><div class="ttname"><a href="../../d8/dee/avltree_8cpp.html#a8286388b0743a716145639df3a33e541">deleteNode</a></div><div class="ttdeci">node * deleteNode(node *root, int key)</div><div class="ttdef"><b>Definition:</b> avltree.cpp:88</div></div>
@@ -228,6 +227,7 @@ $(document).ready(function(){initNavTree('d7/dba/cll_8h_source.html','../../');
<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>
<div class="ttc" id="aavltree_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../d8/dee/avltree_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdef"><b>Definition:</b> avltree.cpp:134</div></div>
<div class="ttc" id="alu__decomposition_8h_html_a3108d43bd32c6fb3b3c158476c51ba7f"><div class="ttname"><a href="../../d1/dbe/lu__decomposition_8h.html#a3108d43bd32c6fb3b3c158476c51ba7f">determinant_lu</a></div><div class="ttdeci">double determinant_lu(const matrix&lt; T &gt; &amp;A)</div><div class="ttdef"><b>Definition:</b> lu_decomposition.h:90</div></div>
<div class="ttc" id="anamespacegraph_html"><div class="ttname"><a href="../../df/dce/namespacegraph.html">graph</a></div><div class="ttdoc">Graph algorithms.</div></div>
<div class="ttc" id="aclassciphers_1_1_hill_cipher_html_a629be41c1ab78850963e4ce14e1d11d9"><div class="ttname"><a href="../../d6/d26/classciphers_1_1_hill_cipher.html#a629be41c1ab78850963e4ce14e1d11d9">ciphers::HillCipher::rand_range</a></div><div class="ttdeci">static const T2 rand_range(T1 a, T1 b)</div><div class="ttdoc">Function to generate a random integer in a given interval.</div><div class="ttdef"><b>Definition:</b> hill_cipher.cpp:92</div></div>
<div class="ttc" id="ahill__cipher_8cpp_html_aeff09ac6b8f060c828354394a3189519"><div class="ttname"><a href="../../d7/db9/hill__cipher_8cpp.html#aeff09ac6b8f060c828354394a3189519">operator&lt;&lt;</a></div><div class="ttdeci">static std::ostream &amp; operator&lt;&lt;(std::ostream &amp;out, matrix&lt; T &gt; const &amp;v)</div><div class="ttdef"><b>Definition:</b> hill_cipher.cpp:54</div></div>
<div class="ttc" id="anamespacebacktracking_html_af6b62cbc209d7e13ffca0ab3ed3392b6"><div class="ttname"><a href="../../db/dc0/namespacebacktracking.html#af6b62cbc209d7e13ffca0ab3ed3392b6">backtracking::solveSudoku</a></div><div class="ttdeci">bool solveSudoku(std::array&lt; std::array&lt; int, V &gt;, V &gt; &amp;mat, int i, int j)</div><div class="ttdef"><b>Definition:</b> sudoku_solve.cpp:91</div></div>

View File

@@ -97,19 +97,13 @@ $(document).ready(function(){initNavTree('dd/d9b/classgraph.html','../../'); ini
<p>This is the complete list of members for <a class="el" href="../../dd/d9b/classgraph.html">graph</a>, including all inherited members.</p>
<table class="directory">
<tr bgcolor="#f0f0f0" class="even"><td class="entry"><b>addedge</b>(int src, int dest) (defined in <a class="el" href="../../dd/d9b/classgraph.html">graph</a>)</td><td class="entry"><a class="el" href="../../dd/d9b/classgraph.html">graph</a></td><td class="entry"></td></tr>
<tr><td class="entry"><a class="el" href="../../dd/d9b/classgraph.html#a35c12fba596d8bb48b1877b128c4ba6d">addEdge</a>(int, int)</td><td class="entry"><a class="el" href="../../dd/d9b/classgraph.html">graph</a></td><td class="entry"></td></tr>
<tr bgcolor="#f0f0f0" class="even"><td class="entry"><b>adj</b> (defined in <a class="el" href="../../dd/d9b/classgraph.html">graph</a>)</td><td class="entry"><a class="el" href="../../dd/d9b/classgraph.html">graph</a></td><td class="entry"><span class="mlabel">private</span></td></tr>
<tr class="even"><td class="entry"><a class="el" href="../../dd/d9b/classgraph.html#a35c12fba596d8bb48b1877b128c4ba6d">addEdge</a>(int, int)</td><td class="entry"><a class="el" href="../../dd/d9b/classgraph.html">graph</a></td><td class="entry"></td></tr>
<tr><td class="entry"><a class="el" href="../../dd/d9b/classgraph.html#a45045da3d080cb81472ce6d5cc02b911">adj</a></td><td class="entry"><a class="el" href="../../dd/d9b/classgraph.html">graph</a></td><td class="entry"><span class="mlabel">private</span></td></tr>
<tr bgcolor="#f0f0f0" class="even"><td class="entry"><b>bfs</b>(int s) (defined in <a class="el" href="../../dd/d9b/classgraph.html">graph</a>)</td><td class="entry"><a class="el" href="../../dd/d9b/classgraph.html">graph</a></td><td class="entry"></td></tr>
<tr><td class="entry"><a class="el" href="../../dd/d9b/classgraph.html#a822dcbe7978a9fa026f2b37f1a52f5e9">connected_components</a></td><td class="entry"><a class="el" href="../../dd/d9b/classgraph.html">graph</a></td><td class="entry"><span class="mlabel">private</span></td></tr>
<tr class="even"><td class="entry"><a class="el" href="../../dd/d9b/classgraph.html#a135921a59082b669678b029b301b8a1c">depth_first_search</a>()</td><td class="entry"><a class="el" href="../../dd/d9b/classgraph.html">graph</a></td><td class="entry"><span class="mlabel">private</span></td></tr>
<tr><td class="entry"><a class="el" href="../../dd/d9b/classgraph.html#a6398e513b9574e029fbee07c6ac6e028">explore</a>(int, vector&lt; bool &gt; &amp;)</td><td class="entry"><a class="el" href="../../dd/d9b/classgraph.html">graph</a></td><td class="entry"><span class="mlabel">private</span></td></tr>
<tr class="even"><td class="entry"><a class="el" href="../../dd/d9b/classgraph.html#af9b34bbae0f618e2128c501b69339bb0">getConnectedComponents</a>()</td><td class="entry"><a class="el" href="../../dd/d9b/classgraph.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) (defined in <a class="el" href="../../dd/d9b/classgraph.html">graph</a>)</td><td class="entry"><a class="el" href="../../dd/d9b/classgraph.html">graph</a></td><td class="entry"></td></tr>
<tr class="even"><td class="entry"><a class="el" href="../../dd/d9b/classgraph.html#a822dcbe7978a9fa026f2b37f1a52f5e9">connected_components</a></td><td class="entry"><a class="el" href="../../dd/d9b/classgraph.html">graph</a></td><td class="entry"><span class="mlabel">private</span></td></tr>
<tr><td class="entry"><a class="el" href="../../dd/d9b/classgraph.html#a135921a59082b669678b029b301b8a1c">depth_first_search</a>()</td><td class="entry"><a class="el" href="../../dd/d9b/classgraph.html">graph</a></td><td class="entry"><span class="mlabel">private</span></td></tr>
<tr class="even"><td class="entry"><a class="el" href="../../dd/d9b/classgraph.html#a6398e513b9574e029fbee07c6ac6e028">explore</a>(int, vector&lt; bool &gt; &amp;)</td><td class="entry"><a class="el" href="../../dd/d9b/classgraph.html">graph</a></td><td class="entry"><span class="mlabel">private</span></td></tr>
<tr><td class="entry"><a class="el" href="../../dd/d9b/classgraph.html#af9b34bbae0f618e2128c501b69339bb0">getConnectedComponents</a>()</td><td class="entry"><a class="el" href="../../dd/d9b/classgraph.html">graph</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
<tr class="even"><td class="entry"><a class="el" href="../../dd/d9b/classgraph.html#a6da44f9820d3b7bae2f0f74bc149c27e">graph</a>(int n)</td><td class="entry"><a class="el" href="../../dd/d9b/classgraph.html">graph</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">explicit</span></td></tr>
<tr bgcolor="#f0f0f0"><td class="entry"><b>printgraph</b>() (defined in <a class="el" href="../../dd/d9b/classgraph.html">graph</a>)</td><td class="entry"><a class="el" href="../../dd/d9b/classgraph.html">graph</a></td><td class="entry"></td></tr>
<tr bgcolor="#f0f0f0" class="even"><td class="entry"><b>v</b> (defined in <a class="el" href="../../dd/d9b/classgraph.html">graph</a>)</td><td class="entry"><a class="el" href="../../dd/d9b/classgraph.html">graph</a></td><td class="entry"><span class="mlabel">private</span></td></tr>
</table></div><!-- contents -->
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<!-- start footer part -->

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@@ -198,11 +198,11 @@ template&lt;size_t V&gt; </div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>&#160; <span class="comment">// Consider this vertex v and try different colors</span></div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> c = 1; c &lt;= m; c++) {</div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>&#160; <span class="comment">// Check if assignment of color c to v is fine</span></div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>&#160; <span class="keywordflow">if</span> (backtracking::isSafe&lt;V&gt;(v, <a class="code" href="../../dd/d9b/classgraph.html">graph</a>, color, c)) {</div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>&#160; <span class="keywordflow">if</span> (backtracking::isSafe&lt;V&gt;(v, <a class="code" href="../../df/dce/namespacegraph.html">graph</a>, color, c)) {</div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>&#160; color[v] = c;</div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>&#160; </div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>&#160; <span class="comment">// recur to assign colors to rest of the vertices</span></div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>&#160; backtracking::graphColoring&lt;V&gt;(<a class="code" href="../../dd/d9b/classgraph.html">graph</a>, m, color, v + 1);</div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>&#160; backtracking::graphColoring&lt;V&gt;(<a class="code" href="../../df/dce/namespacegraph.html">graph</a>, m, color, v + 1);</div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>&#160; </div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>&#160; <span class="comment">// If assigning color c doesn&#39;t lead to a solution then remove it</span></div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>&#160; color[v] = 0;</div>
@@ -362,7 +362,7 @@ template&lt;size_t V&gt; </div>
<code>false</code> if the color is not safe to be assigned to the node </dd></dl>
<div class="fragment"><div class="line"><a name="l00051"></a><span class="lineno"> 51</span>&#160; {</div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; V; i++) {</div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="../../dd/d9b/classgraph.html">graph</a>[v][i] &amp;&amp; c == color[i]) {</div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="../../df/dce/namespacegraph.html">graph</a>[v][i] &amp;&amp; c == color[i]) {</div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>&#160; <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>&#160; }</div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>&#160; }</div>
@@ -808,13 +808,13 @@ template&lt;size_t V&gt; </div>
</div><!-- contents -->
</div><!-- doc-content -->
<div class="ttc" id="atower__of__hanoi_8cpp_html_af4cfc41e546f1f8d25f01e0804e8b61d"><div class="ttname"><a href="../../db/d3c/tower__of__hanoi_8cpp.html#af4cfc41e546f1f8d25f01e0804e8b61d">mov</a></div><div class="ttdeci">void mov(tower *From, tower *To)</div><div class="ttdef"><b>Definition:</b> tower_of_hanoi.cpp:39</div></div>
<div class="ttc" id="aclassgraph_html"><div class="ttname"><a href="../../dd/d9b/classgraph.html">graph</a></div><div class="ttdef"><b>Definition:</b> bfs.cpp:3</div></div>
<div class="ttc" id="abasic_ostream_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a></div></div>
<div class="ttc" id="aavltree_8cpp_html_ae4a66d8b0c2b0d626aea45977e358c83"><div class="ttname"><a href="../../d8/dee/avltree_8cpp.html#ae4a66d8b0c2b0d626aea45977e358c83">height</a></div><div class="ttdeci">int height(node *root)</div><div class="ttdef"><b>Definition:</b> avltree.cpp:31</div></div>
<div class="ttc" id="amin_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/algorithm/min.html">std::min</a></div><div class="ttdeci">T min(T... args)</div></div>
<div class="ttc" id="anamespacebacktracking_html_a78540bcb5ef3473b2348cbc34748ec50"><div class="ttname"><a href="../../db/dc0/namespacebacktracking.html#a78540bcb5ef3473b2348cbc34748ec50">backtracking::minimax</a></div><div class="ttdeci">int minimax(int depth, int node_index, bool is_max, const std::array&lt; int, T &gt; &amp;scores, double height)</div><div class="ttdef"><b>Definition:</b> minimax.cpp:38</div></div>
<div class="ttc" id="aendl_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a></div><div class="ttdeci">T endl(T... args)</div></div>
<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>
<div class="ttc" id="anamespacegraph_html"><div class="ttname"><a href="../../df/dce/namespacegraph.html">graph</a></div><div class="ttdoc">Graph algorithms.</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>
<!-- start footer part -->
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View File

@@ -102,24 +102,12 @@ $(document).ready(function(){initNavTree('dd/d9b/classgraph.html','../../'); ini
<div class="dynheader">
Collaboration diagram for graph:</div>
<div class="dyncontent">
<div class="center"><iframe scrolling="no" frameborder="0" src="../../d0/d80/classgraph__coll__graph.svg" width="279" height="231"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe>
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</div>
<center><span class="legend">[<a target="top" href="../../graph_legend.html">legend</a>]</span></center></div>
<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:a01de7229e455294187882cf48c5865f1"><td class="memItemLeft" align="right" valign="top"><a id="a01de7229e455294187882cf48c5865f1"></a>
&#160;</td><td class="memItemRight" valign="bottom"><b>graph</b> (int v)</td></tr>
<tr class="separator:a01de7229e455294187882cf48c5865f1"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a0d1f72b044a0ff541da4672481625fe5"><td class="memItemLeft" align="right" valign="top"><a id="a0d1f72b044a0ff541da4672481625fe5"></a>
void&#160;</td><td class="memItemRight" valign="bottom"><b>addedge</b> (int src, int dest)</td></tr>
<tr class="separator:a0d1f72b044a0ff541da4672481625fe5"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a12c78a42f38c3b46637cf0da488824e9"><td class="memItemLeft" align="right" valign="top"><a id="a12c78a42f38c3b46637cf0da488824e9"></a>
void&#160;</td><td class="memItemRight" valign="bottom"><b>printgraph</b> ()</td></tr>
<tr class="separator:a12c78a42f38c3b46637cf0da488824e9"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a907cab58d8b38ab3798ad4d043670914"><td class="memItemLeft" align="right" valign="top"><a id="a907cab58d8b38ab3798ad4d043670914"></a>
void&#160;</td><td class="memItemRight" valign="bottom"><b>bfs</b> (int s)</td></tr>
<tr class="separator:a907cab58d8b38ab3798ad4d043670914"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a6da44f9820d3b7bae2f0f74bc149c27e"><td class="memItemLeft" align="right" valign="top"><a id="a6da44f9820d3b7bae2f0f74bc149c27e"></a>
&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../dd/d9b/classgraph.html#a6da44f9820d3b7bae2f0f74bc149c27e">graph</a> (int n)</td></tr>
<tr class="memdesc:a6da44f9820d3b7bae2f0f74bc149c27e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Constructor that intiliazes the graph on creation and set the connected components to 0. <br /></td></tr>
@@ -143,12 +131,6 @@ void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../.
</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:af77d6c400ef60f882b8beca48db8017d"><td class="memItemLeft" align="right" valign="top"><a id="af77d6c400ef60f882b8beca48db8017d"></a>
int&#160;</td><td class="memItemRight" valign="bottom"><b>v</b></td></tr>
<tr class="separator:af77d6c400ef60f882b8beca48db8017d"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:abf45919942312aee0679dcd56e8aae9a"><td class="memItemLeft" align="right" valign="top"><a id="abf45919942312aee0679dcd56e8aae9a"></a>
<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/list.html">list</a>&lt; int &gt; *&#160;</td><td class="memItemRight" valign="bottom"><b>adj</b></td></tr>
<tr class="separator:abf45919942312aee0679dcd56e8aae9a"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a45045da3d080cb81472ce6d5cc02b911"><td class="memItemLeft" align="right" valign="top"><a id="a45045da3d080cb81472ce6d5cc02b911"></a>
<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">vector</a>&lt; <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">vector</a>&lt; int &gt; &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../dd/d9b/classgraph.html#a45045da3d080cb81472ce6d5cc02b911">adj</a></td></tr>
<tr class="memdesc:a45045da3d080cb81472ce6d5cc02b911"><td class="mdescLeft">&#160;</td><td class="mdescRight">adj stores adjacency list representation of graph <br /></td></tr>
@@ -196,10 +178,16 @@ int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../..
</dd>
</dl>
<div class="fragment"><div class="line"><a name="l00075"></a><span class="lineno"> 75</span>&#160; {</div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>&#160; adj[u - 1].push_back(v - 1);</div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>&#160; adj[v - 1].push_back(u - 1);</div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>&#160; <a class="code" href="../../dd/d9b/classgraph.html#a45045da3d080cb81472ce6d5cc02b911">adj</a>[u - 1].<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/push_back.html">push_back</a>(v - 1);</div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>&#160; <a class="code" href="../../dd/d9b/classgraph.html#a45045da3d080cb81472ce6d5cc02b911">adj</a>[v - 1].<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/push_back.html">push_back</a>(u - 1);</div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>&#160;}</div>
</div><!-- fragment -->
</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="../../dd/d9b/classgraph_a35c12fba596d8bb48b1877b128c4ba6d_cgraph.svg" width="327" height="38"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe>
</div>
</div>
</div>
</div>
<a id="a6398e513b9574e029fbee07c6ac6e028"></a>
@@ -246,7 +234,7 @@ int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../..
</dl>
<div class="fragment"><div class="line"><a name="l00101"></a><span class="lineno"> 101</span>&#160; {</div>
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<div class="textblock"><code>#include &lt;algorithm&gt;</code><br />
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<tr class="memitem:adbe6cd1fd148173ce6a01669925d2d72"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../df/dce/namespacegraph.html#adbe6cd1fd148173ce6a01669925d2d72">graph::add_directed_edge</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/vector.html">std::vector</a>&lt; int &gt;&gt; *<a class="el" href="../../dd/d9b/classgraph.html">graph</a>, int u, int v)</td></tr>
<tr class="memdesc:adbe6cd1fd148173ce6a01669925d2d72"><td class="mdescLeft">&#160;</td><td class="mdescRight">Adds a directed edge from vertex u to vertex v. <a href="../../df/dce/namespacegraph.html#adbe6cd1fd148173ce6a01669925d2d72">More...</a><br /></td></tr>
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<tr class="memitem:a59b4441a0e447469e9a4f61c87f33102"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../df/dce/namespacegraph.html#a59b4441a0e447469e9a4f61c87f33102">graph::add_undirected_edge</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/vector.html">std::vector</a>&lt; int &gt;&gt; *<a class="el" href="../../dd/d9b/classgraph.html">graph</a>, int u, int v)</td></tr>
<tr class="memdesc:a59b4441a0e447469e9a4f61c87f33102"><td class="mdescLeft">&#160;</td><td class="mdescRight">Adds an undirected edge from vertex u to vertex v. Essentially adds too directed edges to the adjacency list reprsentation of the graph. <a href="../../df/dce/namespacegraph.html#a59b4441a0e447469e9a4f61c87f33102">More...</a><br /></td></tr>
<tr class="separator:a59b4441a0e447469e9a4f61c87f33102"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a618dce14b4883c20aace1d743d3a3f60"><td class="memItemLeft" align="right" valign="top"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; bool &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../df/dce/namespacegraph.html#a618dce14b4883c20aace1d743d3a3f60">graph::breadth_first_search</a> (const <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/vector.html">std::vector</a>&lt; int &gt;&gt; &amp;<a class="el" href="../../dd/d9b/classgraph.html">graph</a>, int start)</td></tr>
<tr class="memdesc:a618dce14b4883c20aace1d743d3a3f60"><td class="mdescLeft">&#160;</td><td class="mdescRight">Function performs the breadth first search algorithm over the graph. <a href="../../df/dce/namespacegraph.html#a618dce14b4883c20aace1d743d3a3f60">More...</a><br /></td></tr>
<tr class="separator:a618dce14b4883c20aace1d743d3a3f60"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a88ec9ad42717780d6caaff9d3d6977f9"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../df/d82/breadth__first__search_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">tests</a> ()</td></tr>
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<tr class="memitem:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../df/d82/breadth__first__search_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a> ()</td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p><a href="https://en.wikipedia.org/wiki/Breadth-first_search">Breadth First Search Algorithm (Breadth First Search)</a> </p>
<dl class="section author"><dt>Author</dt><dd><a href="http://github.com/ayaankhan98">Ayaan Khan</a></dd></dl>
<p>Breadth First Search also quoted as BFS is a <a class="el" href="../../da/d9a/class_graph.html">Graph</a> Traversal Algorithm. Time Complexity O(|V| + |E|) where V are the number of vertices and E are the number of edges in the graph.</p>
<p>Applications of Breadth First Search are</p>
<ol type="1">
<li>Finding shortest path between two vertices say u and v, with path length measured by number of edges (an advantage over depth first search algorithm)</li>
<li>Ford-Fulkerson Method for computing the maximum flow in a flow network.</li>
<li>Testing bipartiteness of a graph.</li>
<li>Cheney's Algorithm, Copying garbage collection.</li>
</ol>
<p>And there are many more...</p>
<h4>working</h4>
<p>In the implementation below we first created a graph using the adjacency list representation of graph. Breadth First Search Works as follows it requires a vertex as a start vertex, Start vertex is that vertex from where you want to start traversing the graph. We maintain a bool array or a vector to keep track of the vertices which we have visited so that we do not traverse the visited vertices again and again and eventually fall into an infinite loop. Along with this boolen array we use a <a class="el" href="../../dc/db5/struct_queue.html">Queue</a>.</p>
<ol type="1">
<li>First we mark the start vertex as visited.</li>
<li>Push this visited vertex in the <a class="el" href="../../dc/db5/struct_queue.html">Queue</a>.</li>
<li>while the queue is not empty we repeat the following steps<ol type="a">
<li>Take out an element from the front of queue</li>
<li>Explore the adjacency list of this vertex if element in the adjacency list is not visited then we push that element into the queue and mark this as visited </li>
</ol>
</li>
</ol>
</div><h2 class="groupheader">Function Documentation</h2>
<a id="ae66f6b31b5ad750f1fe042a706a4e3d4"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ae66f6b31b5ad750f1fe042a706a4e3d4">&#9670;&nbsp;</a></span>main()</h2>
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<td class="memname">int main </td>
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<p>Main function </p>
<div class="fragment"><div class="line"><a name="l00161"></a><span class="lineno"> 161</span>&#160; {</div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>&#160; <a class="code" href="../../df/d82/breadth__first__search_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">tests</a>();</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="keywordtype">size_t</span> vertices = 0, edges = 0;</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/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Enter the number of vertices: &quot;</span>;</div>
<div class="line"><a name="l00166"></a><span class="lineno"> 166</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a> &gt;&gt; vertices;</div>
<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Enter the number of edges: &quot;</span>;</div>
<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a> &gt;&gt; edges;</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; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;std::vector&lt;int&gt;</a>&gt; <a class="code" href="../../df/dce/namespacegraph.html">graph</a>(vertices);</div>
<div class="line"><a name="l00171"></a><span class="lineno"> 171</span>&#160; </div>
<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Enter space-separated pairs of vertices that form edges: &quot;</span></div>
<div class="line"><a name="l00173"></a><span class="lineno"> 173</span>&#160; &lt;&lt; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>&#160; <span class="keywordflow">while</span> (edges--) {</div>
<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>&#160; <span class="keywordtype">int</span> u = 0, v = 0;</div>
<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a> &gt;&gt; u &gt;&gt; v;</div>
<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>&#160; <span class="comment">// Decrement the vertex index so that we can read more convenint</span></div>
<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>&#160; <span class="comment">// 1-based indexing from the user input.</span></div>
<div class="line"><a name="l00179"></a><span class="lineno"> 179</span>&#160; <a class="code" href="../../df/dce/namespacegraph.html#adbe6cd1fd148173ce6a01669925d2d72">graph::add_directed_edge</a>(&amp;<a class="code" href="../../df/dce/namespacegraph.html">graph</a>, u - 1, v - 1);</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; <a class="code" href="../../df/dce/namespacegraph.html#a618dce14b4883c20aace1d743d3a3f60">graph::breadth_first_search</a>(<a class="code" href="../../df/dce/namespacegraph.html">graph</a>, 0);</div>
<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>&#160; <span class="keywordflow">return</span> 0;</div>
<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>&#160;}</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a88ec9ad42717780d6caaff9d3d6977f9">&#9670;&nbsp;</a></span>tests()</h2>
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<td class="memname">void tests </td>
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<p>Test 1 Begin</p>
<p>Test 2 Begin</p>
<p>Test 3 Begins</p>
<div class="fragment"><div class="line"><a name="l00121"></a><span class="lineno"> 121</span>&#160; {<span class="comment"></span></div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>&#160;<span class="comment"> /// Test 1 Begin</span></div>
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>&#160;<span class="comment"></span> <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;std::vector&lt;int&gt;</a>&gt; <a class="code" href="../../df/dce/namespacegraph.html">graph</a>(4, <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;int&gt;</a>());</div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>&#160; <a class="code" href="../../df/dce/namespacegraph.html#a59b4441a0e447469e9a4f61c87f33102">graph::add_undirected_edge</a>(&amp;<a class="code" href="../../df/dce/namespacegraph.html">graph</a>, 0, 1);</div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>&#160; <a class="code" href="../../df/dce/namespacegraph.html#a59b4441a0e447469e9a4f61c87f33102">graph::add_undirected_edge</a>(&amp;<a class="code" href="../../df/dce/namespacegraph.html">graph</a>, 1, 2);</div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>&#160; <a class="code" href="../../df/dce/namespacegraph.html#a59b4441a0e447469e9a4f61c87f33102">graph::add_undirected_edge</a>(&amp;<a class="code" href="../../df/dce/namespacegraph.html">graph</a>, 2, 3);</div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>&#160; </div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;bool&gt;</a> returned_result = <a class="code" href="../../df/dce/namespacegraph.html#a618dce14b4883c20aace1d743d3a3f60">graph::breadth_first_search</a>(<a class="code" href="../../df/dce/namespacegraph.html">graph</a>, 2);</div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;bool&gt;</a> correct_result = {<span class="keyword">true</span>, <span class="keyword">true</span>, <span class="keyword">true</span>, <span class="keyword">true</span>};</div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>&#160; </div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>&#160; assert(<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/equal.html">std::equal</a>(correct_result.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/begin.html">begin</a>(), correct_result.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/end.html">end</a>(),</div>
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>&#160; returned_result.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/begin.html">begin</a>()));</div>
<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Test 1 Passed...&quot;</span> &lt;&lt; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>&#160;<span class="comment"></span> </div>
<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>&#160;<span class="comment"> /// Test 2 Begin</span></div>
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>&#160;<span class="comment"></span> returned_result = <a class="code" href="../../df/dce/namespacegraph.html#a618dce14b4883c20aace1d743d3a3f60">graph::breadth_first_search</a>(<a class="code" href="../../df/dce/namespacegraph.html">graph</a>, 0);</div>
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>&#160; </div>
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>&#160; assert(<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/equal.html">std::equal</a>(correct_result.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/begin.html">begin</a>(), correct_result.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/end.html">end</a>(),</div>
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>&#160; returned_result.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/begin.html">begin</a>()));</div>
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Test 2 Passed...&quot;</span> &lt;&lt; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>&#160;<span class="comment"></span> </div>
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>&#160;<span class="comment"> /// Test 3 Begins</span></div>
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>&#160;<span class="comment"></span> <a class="code" href="../../df/dce/namespacegraph.html">graph</a>.clear();</div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>&#160; <a class="code" href="../../df/dce/namespacegraph.html">graph</a>.resize(6);</div>
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>&#160; <a class="code" href="../../df/dce/namespacegraph.html#adbe6cd1fd148173ce6a01669925d2d72">graph::add_directed_edge</a>(&amp;<a class="code" href="../../df/dce/namespacegraph.html">graph</a>, 0, 1);</div>
<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>&#160; <a class="code" href="../../df/dce/namespacegraph.html#adbe6cd1fd148173ce6a01669925d2d72">graph::add_directed_edge</a>(&amp;<a class="code" href="../../df/dce/namespacegraph.html">graph</a>, 0, 2);</div>
<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>&#160; <a class="code" href="../../df/dce/namespacegraph.html#adbe6cd1fd148173ce6a01669925d2d72">graph::add_directed_edge</a>(&amp;<a class="code" href="../../df/dce/namespacegraph.html">graph</a>, 1, 3);</div>
<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>&#160; <a class="code" href="../../df/dce/namespacegraph.html#adbe6cd1fd148173ce6a01669925d2d72">graph::add_directed_edge</a>(&amp;<a class="code" href="../../df/dce/namespacegraph.html">graph</a>, 2, 3);</div>
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>&#160; <a class="code" href="../../df/dce/namespacegraph.html#adbe6cd1fd148173ce6a01669925d2d72">graph::add_directed_edge</a>(&amp;<a class="code" href="../../df/dce/namespacegraph.html">graph</a>, 1, 4);</div>
<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>&#160; <a class="code" href="../../df/dce/namespacegraph.html#adbe6cd1fd148173ce6a01669925d2d72">graph::add_directed_edge</a>(&amp;<a class="code" href="../../df/dce/namespacegraph.html">graph</a>, 3, 5);</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; returned_result = <a class="code" href="../../df/dce/namespacegraph.html#a618dce14b4883c20aace1d743d3a3f60">graph::breadth_first_search</a>(<a class="code" href="../../df/dce/namespacegraph.html">graph</a>, 2);</div>
<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>&#160; correct_result = {<span class="keyword">false</span>, <span class="keyword">false</span>, <span class="keyword">true</span>, <span class="keyword">true</span>, <span class="keyword">false</span>, <span class="keyword">true</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; assert(<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/equal.html">std::equal</a>(correct_result.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/begin.html">begin</a>(), correct_result.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/end.html">end</a>(),</div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>&#160; returned_result.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/begin.html">begin</a>()));</div>
<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Test 3 Passed...&quot;</span> &lt;&lt; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>&#160;}</div>
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<p><a class="el" href="../../da/d9a/class_graph.html">Graph</a> algorithms.
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Functions</h2></td></tr>
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<tr class="memitem:a59b4441a0e447469e9a4f61c87f33102"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../df/dce/namespacegraph.html#a59b4441a0e447469e9a4f61c87f33102">add_undirected_edge</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/vector.html">std::vector</a>&lt; int &gt;&gt; *<a class="el" href="../../dd/d9b/classgraph.html">graph</a>, int u, int v)</td></tr>
<tr class="memdesc:a59b4441a0e447469e9a4f61c87f33102"><td class="mdescLeft">&#160;</td><td class="mdescRight">Adds an undirected edge from vertex u to vertex v. Essentially adds too directed edges to the adjacency list reprsentation of the graph. <a href="../../df/dce/namespacegraph.html#a59b4441a0e447469e9a4f61c87f33102">More...</a><br /></td></tr>
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<tr class="memdesc:a618dce14b4883c20aace1d743d3a3f60"><td class="mdescLeft">&#160;</td><td class="mdescRight">Function performs the breadth first search algorithm over the graph. <a href="../../df/dce/namespacegraph.html#a618dce14b4883c20aace1d743d3a3f60">More...</a><br /></td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p><a class="el" href="../../da/d9a/class_graph.html">Graph</a> algorithms. </p>
</div><h2 class="groupheader">Function Documentation</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#adbe6cd1fd148173ce6a01669925d2d72">&#9670;&nbsp;</a></span>add_directed_edge()</h2>
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<td class="memname">void graph::add_directed_edge </td>
<td>(</td>
<td class="paramtype"><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/vector.html">std::vector</a>&lt; int &gt;&gt; *&#160;</td>
<td class="paramname"><em>graph</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>u</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>v</em>&#160;</td>
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<p>Adds a directed edge from vertex u to vertex v. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">graph</td><td>Adjacency list representation of graph </td></tr>
<tr><td class="paramname">u</td><td>first vertex </td></tr>
<tr><td class="paramname">v</td><td>second vertex </td></tr>
</table>
</dd>
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<div class="fragment"><div class="line"><a name="l00066"></a><span class="lineno"> 66</span>&#160; {</div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>&#160; (*graph)[u].push_back(v);</div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>&#160;}</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a59b4441a0e447469e9a4f61c87f33102">&#9670;&nbsp;</a></span>add_undirected_edge()</h2>
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<td class="memname">void graph::add_undirected_edge </td>
<td>(</td>
<td class="paramtype"><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/vector.html">std::vector</a>&lt; int &gt;&gt; *&#160;</td>
<td class="paramname"><em>graph</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>u</em>, </td>
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<td class="paramtype">int&#160;</td>
<td class="paramname"><em>v</em>&#160;</td>
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<td>)</td>
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<p>Adds an undirected edge from vertex u to vertex v. Essentially adds too directed edges to the adjacency list reprsentation of the graph. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">graph</td><td>Adjacency list representation of graph </td></tr>
<tr><td class="paramname">u</td><td>first vertex </td></tr>
<tr><td class="paramname">v</td><td>second vertex </td></tr>
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</dd>
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<div class="fragment"><div class="line"><a name="l00081"></a><span class="lineno"> 81</span>&#160; {</div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>&#160; <a class="code" href="../../df/dce/namespacegraph.html#adbe6cd1fd148173ce6a01669925d2d72">add_directed_edge</a>(<a class="code" href="../../df/dce/namespacegraph.html">graph</a>, u, v);</div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>&#160; <a class="code" href="../../df/dce/namespacegraph.html#adbe6cd1fd148173ce6a01669925d2d72">add_directed_edge</a>(<a class="code" href="../../df/dce/namespacegraph.html">graph</a>, v, u);</div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>&#160;}</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a618dce14b4883c20aace1d743d3a3f60">&#9670;&nbsp;</a></span>breadth_first_search()</h2>
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<td class="memname"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt;bool&gt; graph::breadth_first_search </td>
<td>(</td>
<td class="paramtype">const <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/vector.html">std::vector</a>&lt; int &gt;&gt; &amp;&#160;</td>
<td class="paramname"><em>graph</em>, </td>
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<td class="paramkey"></td>
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<td class="paramtype">int&#160;</td>
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<p>Function performs the breadth first search algorithm over the graph. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">graph</td><td>Adjacency list representation of graph </td></tr>
<tr><td class="paramname">start</td><td>vertex from where traversing starts </td></tr>
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</dd>
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<dl class="section return"><dt>Returns</dt><dd>a binary vector indicating which vertices were visited during the search. </dd></dl>
<p>vector to keep track of visited vertices</p>
<p>a queue that stores vertices that need to be further explored</p>
<p>mark the starting vertex as visited</p>
<p>if the vertex is not visited then mark it as visited and push it to the queue</p>
<div class="fragment"><div class="line"><a name="l00096"></a><span class="lineno"> 96</span>&#160; {<span class="comment"></span></div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>&#160;<span class="comment"> /// vector to keep track of visited vertices</span></div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>&#160;<span class="comment"></span> <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;bool&gt;</a> visited(<a class="code" href="../../df/dce/namespacegraph.html">graph</a>.size(), <span class="keyword">false</span>);<span class="comment"></span></div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>&#160;<span class="comment"> /// a queue that stores vertices that need to be further explored</span></div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>&#160;<span class="comment"></span> <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/queue.html">std::queue&lt;int&gt;</a> tracker;</div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>&#160;<span class="comment"></span> </div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>&#160;<span class="comment"> /// mark the starting vertex as visited</span></div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>&#160;<span class="comment"></span> visited[start] = <span class="keyword">true</span>;</div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>&#160; tracker.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/queue/push.html">push</a>(start);</div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>&#160; <span class="keywordflow">while</span> (!tracker.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/queue/empty.html">empty</a>()) {</div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>&#160; <span class="keywordtype">size_t</span> vertex = tracker.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/queue/front.html">front</a>();</div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>&#160; tracker.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/queue/pop.html">pop</a>();</div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">auto</span> x : <a class="code" href="../../df/dce/namespacegraph.html">graph</a>[vertex]) {<span class="comment"></span></div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>&#160;<span class="comment"> /// if the vertex is not visited then mark it as visited</span></div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>&#160;<span class="comment"> /// and push it to the queue</span></div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>&#160;<span class="comment"></span> <span class="keywordflow">if</span> (!visited[x]) {</div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>&#160; visited[x] = <span class="keyword">true</span>;</div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>&#160; tracker.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/queue/push.html">push</a>(x);</div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>&#160; }</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; }</div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>&#160; <span class="keywordflow">return</span> visited;</div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>&#160;}</div>
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<div class="ttc" id="avector_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt; bool &gt;</a></div></div>
<div class="ttc" id="anamespacegraph_html_adbe6cd1fd148173ce6a01669925d2d72"><div class="ttname"><a href="../../df/dce/namespacegraph.html#adbe6cd1fd148173ce6a01669925d2d72">graph::add_directed_edge</a></div><div class="ttdeci">void add_directed_edge(std::vector&lt; std::vector&lt; int &gt;&gt; *graph, int u, int v)</div><div class="ttdoc">Adds a directed edge from vertex u to vertex v.</div><div class="ttdef"><b>Definition:</b> breadth_first_search.cpp:66</div></div>
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<div class="ttc" id="aclassgraph_html"><div class="ttname"><a href="../../dd/d9b/classgraph.html">graph</a></div><div class="ttdef"><b>Definition:</b> bfs.cpp:3</div></div>
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</li>
<li>tests()
: <a class="el" href="d7/d89/double__factorial_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">double_factorial.cpp</a>
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</li>
<li>TH()
: <a class="el" href="db/d3c/tower__of__hanoi_8cpp.html#ab037f72a5eac476535a6cfbbcb965417">tower_of_hanoi.cpp</a>

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@@ -120,14 +120,14 @@ $(document).ready(function(){initNavTree('globals_i.html',''); initResizable();
<li>is_square()
: <a class="el" href="dc/d38/ordinary__least__squares__regressor_8cpp.html#a4921874435266592b222e3f2eda0e01f">ordinary_least_squares_regressor.cpp</a>
</li>
<li>isprime
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<li>IsPrime()
: <a class="el" href="da/d7b/primality__test_8cpp.html#a2bfa6adead2bdcbf1dac94cbe08d7eaf">primality_test.cpp</a>
</li>
<li>isPrime()
: <a class="el" href="d8/d53/modular__inverse__fermat__little__theorem_8cpp.html#a09660096b134753128952246f4f4e4bd">modular_inverse_fermat_little_theorem.cpp</a>
</li>
<li>IsPrime()
: <a class="el" href="da/d7b/primality__test_8cpp.html#a2bfa6adead2bdcbf1dac94cbe08d7eaf">primality_test.cpp</a>
<li>isprime
: <a class="el" href="db/d0d/prime__factorization_8cpp.html#a7fe38b570a51e448430d6a0f072c2f23">prime_factorization.cpp</a>
</li>
<li>it_ternary_search()
: <a class="el" href="dc/dfe/ternary__search_8cpp.html#ae30dfe2894191bfeffe5b3b1854b95b0">ternary_search.cpp</a>

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, <a class="el" href="d9/d49/kohonen__som__trace_8cpp.html#a3c04138a5bfe5d72780bb7e82a18e627">kohonen_som_trace.cpp</a>
, <a class="el" href="dc/d38/ordinary__least__squares__regressor_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">ordinary_least_squares_regressor.cpp</a>
, <a class="el" href="d4/d5d/math_2armstrong__number_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">armstrong_number.cpp</a>
, <a class="el" href="dd/d12/vigenere__cipher_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">vigenere_cipher.cpp</a>
, <a class="el" href="dc/d93/trie__modern_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">trie_modern.cpp</a>
, <a class="el" href="de/dcf/binary__exponent_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">binary_exponent.cpp</a>
, <a class="el" href="d5/d67/complex__numbers_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">complex_numbers.cpp</a>
, <a class="el" href="d5/df6/check__amicable__pair_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">check_amicable_pair.cpp</a>
, <a class="el" href="d8/d6c/line__segment__intersection_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">line_segment_intersection.cpp</a>
, <a class="el" href="d4/d5d/math_2armstrong__number_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">armstrong_number.cpp</a>
, <a class="el" href="db/d93/check__prime_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">check_prime.cpp</a>
, <a class="el" href="de/dcf/binary__exponent_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">binary_exponent.cpp</a>
, <a class="el" href="d8/d6c/line__segment__intersection_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">line_segment_intersection.cpp</a>
, <a class="el" href="d5/df6/check__amicable__pair_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">check_amicable_pair.cpp</a>
</li>
<li>mat_mul()
: <a class="el" href="de/d75/qr__eigen__values_8cpp.html#a7558fd7779bf207157ced66f275951a0">qr_eigen_values.cpp</a>
@@ -266,8 +267,8 @@ $(document).ready(function(){initNavTree('globals_m.html',''); initResizable();
: <a class="el" href="db/d3c/tower__of__hanoi_8cpp.html#af4cfc41e546f1f8d25f01e0804e8b61d">tower_of_hanoi.cpp</a>
</li>
<li>multiply()
: <a class="el" href="d7/d35/matrix__exponentiation_8cpp.html#ac62a499b83c7895dd0aa69da1b64c904">matrix_exponentiation.cpp</a>
, <a class="el" href="df/def/power__for__huge__numbers_8cpp.html#aa141a7904f0c4668bac112d652a3acf9">power_for_huge_numbers.cpp</a>
: <a class="el" href="df/def/power__for__huge__numbers_8cpp.html#aa141a7904f0c4668bac112d652a3acf9">power_for_huge_numbers.cpp</a>
, <a class="el" href="d7/d35/matrix__exponentiation_8cpp.html#ac62a499b83c7895dd0aa69da1b64c904">matrix_exponentiation.cpp</a>
</li>
</ul>
</div><!-- contents -->

View File

@@ -172,8 +172,8 @@ $(document).ready(function(){initNavTree('globals_t.html',''); initResizable();
: <a class="el" href="d0/d08/realtime__stats_8cpp.html#aa54c915581fcc495489175a4386d59fd">realtime_stats.cpp</a>
</li>
<li>test_int()
: <a class="el" href="d4/d7a/shell__sort2_8cpp.html#a895b313cb2671e8f712040460325573e">shell_sort2.cpp</a>
, <a class="el" href="d3/d4c/quick__sort__3_8cpp.html#a07e5c62de28aeddea986890ce7ac1bda">quick_sort_3.cpp</a>
: <a class="el" href="d3/d4c/quick__sort__3_8cpp.html#a07e5c62de28aeddea986890ce7ac1bda">quick_sort_3.cpp</a>
, <a class="el" href="d4/d7a/shell__sort2_8cpp.html#a895b313cb2671e8f712040460325573e">shell_sort2.cpp</a>
</li>
<li>test_lamniscate()
: <a class="el" href="d9/d49/kohonen__som__trace_8cpp.html#a412b7afa156306b1f8788643c91a1c60">kohonen_som_trace.cpp</a>
@@ -182,14 +182,15 @@ $(document).ready(function(){initNavTree('globals_t.html',''); initResizable();
: <a class="el" href="d3/d7d/brute__force__string__searching_8cpp.html#ae2abaa9caa13fff35e45edca00bee123">brute_force_string_searching.cpp</a>
</li>
<li>tests()
: <a class="el" href="d6/d42/miller__rabin_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">miller_rabin.cpp</a>
, <a class="el" href="dd/d0d/insertion__sort_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">insertion_sort.cpp</a>
, <a class="el" href="d4/d21/least__common__multiple_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">least_common_multiple.cpp</a>
, <a class="el" href="d5/d67/complex__numbers_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">complex_numbers.cpp</a>
: <a class="el" href="d4/d21/least__common__multiple_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">least_common_multiple.cpp</a>
, <a class="el" href="d9/dfd/comb__sort_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">comb_sort.cpp</a>
, <a class="el" href="d7/d89/double__factorial_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">double_factorial.cpp</a>
, <a class="el" href="d8/ddf/sieve__of__eratosthenes_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">sieve_of_eratosthenes.cpp</a>
, <a class="el" href="d0/da2/number__of__positive__divisors_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">number_of_positive_divisors.cpp</a>
, <a class="el" href="dd/d0d/insertion__sort_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">insertion_sort.cpp</a>
, <a class="el" href="df/d82/breadth__first__search_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">breadth_first_search.cpp</a>
, <a class="el" href="d6/d42/miller__rabin_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">miller_rabin.cpp</a>
, <a class="el" href="d7/d89/double__factorial_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">double_factorial.cpp</a>
, <a class="el" href="d5/d67/complex__numbers_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">complex_numbers.cpp</a>
</li>
<li>TH()
: <a class="el" href="db/d3c/tower__of__hanoi_8cpp.html#ab037f72a5eac476535a6cfbbcb965417">tower_of_hanoi.cpp</a>

View File

@@ -98,6 +98,12 @@ $(document).ready(function(){initNavTree('namespacemembers.html',''); initResiza
, <a class="el" href="d8/d89/namespacelinear__probing.html#a16d34fd3511626a83ab00665d7bc34d1">linear_probing</a>
, <a class="el" href="d4/dd2/namespacequadratic__probing.html#a00ebcc6d39653eccc26f8432efbfc8d9">quadratic_probing</a>
</li>
<li>add_directed_edge()
: <a class="el" href="df/dce/namespacegraph.html#adbe6cd1fd148173ce6a01669925d2d72">graph</a>
</li>
<li>add_undirected_edge()
: <a class="el" href="df/dce/namespacegraph.html#a59b4441a0e447469e9a4f61c87f33102">graph</a>
</li>
<li>addInfo()
: <a class="el" href="d0/d65/namespacedouble__hashing.html#a9c652b2e467e5d250dfe3bed83b12560">double_hashing</a>
, <a class="el" href="d8/d89/namespacelinear__probing.html#a16680b8a37d442c2f208faa286e33908">linear_probing</a>
@@ -107,6 +113,9 @@ $(document).ready(function(){initNavTree('namespacemembers.html',''); initResiza
<h3><a id="index_b"></a>- b -</h3><ul>
<li>breadth_first_search()
: <a class="el" href="df/dce/namespacegraph.html#a618dce14b4883c20aace1d743d3a3f60">graph</a>
</li>
<li>brute_force()
: <a class="el" href="d9/d03/namespacestring__search.html#aeb2cd81064717aedd62bfb096b1a73d8">string_search</a>
</li>
@@ -178,12 +187,12 @@ $(document).ready(function(){initNavTree('namespacemembers.html',''); initResiza
<li>isPossible()
: <a class="el" href="db/dc0/namespacebacktracking.html#a80af16e57cfb6aaab2bf1da4c4db3308">backtracking</a>
</li>
<li>isSafe()
: <a class="el" href="db/dc0/namespacebacktracking.html#a5a6c3c2b065ea1c07adf2f638f8efc43">backtracking</a>
</li>
<li>issafe()
: <a class="el" href="db/dc0/namespacebacktracking.html#a531de8cb2d4d16ca63353d9c72158257">backtracking</a>
</li>
<li>isSafe()
: <a class="el" href="db/dc0/namespacebacktracking.html#a5a6c3c2b065ea1c07adf2f638f8efc43">backtracking</a>
</li>
</ul>
@@ -269,11 +278,14 @@ $(document).ready(function(){initNavTree('namespacemembers.html',''); initResiza
: <a class="el" href="d4/dd2/namespacequadratic__probing.html#ab431981b54c0bae1b2956f716aee1dcf">quadratic_probing</a>
</li>
<li>quicksort()
: <a class="el" href="d5/d91/namespacesorting.html#a9d4eb6ea3c35540d804d451f1716622d">sorting</a>
: <a class="el" href="d5/d91/namespacesorting.html#a9f59fe72dacc1f1218ef3c303d843168">sorting</a>
</li>
<li>quickSort()
: <a class="el" href="d5/d91/namespacesorting.html#a50b66a1c652291b9a346ec7342967178">sorting</a>
</li>
<li>quicksort()
: <a class="el" href="d5/d91/namespacesorting.html#a9d4eb6ea3c35540d804d451f1716622d">sorting</a>
</li>
</ul>

View File

@@ -98,6 +98,12 @@ $(document).ready(function(){initNavTree('namespacemembers_func.html',''); initR
, <a class="el" href="d8/d89/namespacelinear__probing.html#a16d34fd3511626a83ab00665d7bc34d1">linear_probing</a>
, <a class="el" href="d4/dd2/namespacequadratic__probing.html#a00ebcc6d39653eccc26f8432efbfc8d9">quadratic_probing</a>
</li>
<li>add_directed_edge()
: <a class="el" href="df/dce/namespacegraph.html#adbe6cd1fd148173ce6a01669925d2d72">graph</a>
</li>
<li>add_undirected_edge()
: <a class="el" href="df/dce/namespacegraph.html#a59b4441a0e447469e9a4f61c87f33102">graph</a>
</li>
<li>addInfo()
: <a class="el" href="d0/d65/namespacedouble__hashing.html#a9c652b2e467e5d250dfe3bed83b12560">double_hashing</a>
, <a class="el" href="d8/d89/namespacelinear__probing.html#a16680b8a37d442c2f208faa286e33908">linear_probing</a>
@@ -107,6 +113,9 @@ $(document).ready(function(){initNavTree('namespacemembers_func.html',''); initR
<h3><a id="index_b"></a>- b -</h3><ul>
<li>breadth_first_search()
: <a class="el" href="df/dce/namespacegraph.html#a618dce14b4883c20aace1d743d3a3f60">graph</a>
</li>
<li>brute_force()
: <a class="el" href="d9/d03/namespacestring__search.html#aeb2cd81064717aedd62bfb096b1a73d8">string_search</a>
</li>
@@ -178,12 +187,12 @@ $(document).ready(function(){initNavTree('namespacemembers_func.html',''); initR
<li>isPossible()
: <a class="el" href="db/dc0/namespacebacktracking.html#a80af16e57cfb6aaab2bf1da4c4db3308">backtracking</a>
</li>
<li>isSafe()
: <a class="el" href="db/dc0/namespacebacktracking.html#a5a6c3c2b065ea1c07adf2f638f8efc43">backtracking</a>
</li>
<li>issafe()
: <a class="el" href="db/dc0/namespacebacktracking.html#a531de8cb2d4d16ca63353d9c72158257">backtracking</a>
</li>
<li>isSafe()
: <a class="el" href="db/dc0/namespacebacktracking.html#a5a6c3c2b065ea1c07adf2f638f8efc43">backtracking</a>
</li>
</ul>
@@ -260,11 +269,14 @@ $(document).ready(function(){initNavTree('namespacemembers_func.html',''); initR
: <a class="el" href="d4/dd2/namespacequadratic__probing.html#ab431981b54c0bae1b2956f716aee1dcf">quadratic_probing</a>
</li>
<li>quicksort()
: <a class="el" href="d5/d91/namespacesorting.html#a9d4eb6ea3c35540d804d451f1716622d">sorting</a>
: <a class="el" href="d5/d91/namespacesorting.html#a9f59fe72dacc1f1218ef3c303d843168">sorting</a>
</li>
<li>quickSort()
: <a class="el" href="d5/d91/namespacesorting.html#a50b66a1c652291b9a346ec7342967178">sorting</a>
</li>
<li>quicksort()
: <a class="el" href="d5/d91/namespacesorting.html#a9d4eb6ea3c35540d804d451f1716622d">sorting</a>
</li>
</ul>

View File

@@ -101,17 +101,18 @@ $(document).ready(function(){initNavTree('namespaces.html',''); initResizable();
<tr id="row_2_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d6/d4e/namespaceciphers.html" target="_self">ciphers</a></td><td class="desc">Algorithms for encryption and decryption </td></tr>
<tr id="row_3_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d1/db4/namespacedata__structure.html" target="_self">data_structure</a></td><td class="desc">Data-structure algorithms </td></tr>
<tr id="row_4_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d0/d65/namespacedouble__hashing.html" target="_self">double_hashing</a></td><td class="desc">An implementation of hash table using <a href="https://en.wikipedia.org/wiki/Double_hashing">double hashing</a> algorithm </td></tr>
<tr id="row_5_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d8/d89/namespacelinear__probing.html" target="_self">linear_probing</a></td><td class="desc">An implementation of hash table using <a href="https://en.wikipedia.org/wiki/Linear_probing">linear probing</a> algorithm </td></tr>
<tr id="row_6_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d8/d77/namespacemachine__learning.html" target="_self">machine_learning</a></td><td class="desc">Machine learning algorithms </td></tr>
<tr id="row_7_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d2/d3b/namespaceqr__algorithm.html" target="_self">qr_algorithm</a></td><td class="desc">Functions to compute <a href="https://en.wikipedia.org/wiki/QR_decomposition">QR decomposition</a> of any rectangular matrix </td></tr>
<tr id="row_8_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d4/dd2/namespacequadratic__probing.html" target="_self">quadratic_probing</a></td><td class="desc">An implementation of hash table using <a href="https://en.wikipedia.org/wiki/Quadratic_probing">quadratic probing</a> algorithm </td></tr>
<tr id="row_9_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d5/d91/namespacesorting.html" target="_self">sorting</a></td><td class="desc">Sorting algorithms </td></tr>
<tr id="row_10_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="da/dd3/namespacespirograph.html" target="_self">spirograph</a></td><td class="desc"></td></tr>
<tr id="row_11_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d2/dcf/namespacestatistics.html" target="_self">statistics</a></td><td class="desc">Statistical algorithms </td></tr>
<tr id="row_12_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d8/dcc/namespacestd.html" target="_self">std</a></td><td class="desc">STL namespace </td></tr>
<tr id="row_13_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d9/d03/namespacestring__search.html" target="_self">string_search</a></td><td class="desc">String search algorithms </td></tr>
<tr id="row_14_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d6/da2/namespacevigenere.html" target="_self">vigenere</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Vigen%C3%A8re_cipher">vigenère cipher</a> algorithm </td></tr>
<tr id="row_15_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d7/d47/namespace_x_o_r.html" target="_self">XOR</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/XOR_cipher">XOR cipher</a> algorithm </td></tr>
<tr id="row_5_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="df/dce/namespacegraph.html" target="_self">graph</a></td><td class="desc"><a class="el" href="da/d9a/class_graph.html">Graph</a> algorithms </td></tr>
<tr id="row_6_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d8/d89/namespacelinear__probing.html" target="_self">linear_probing</a></td><td class="desc">An implementation of hash table using <a href="https://en.wikipedia.org/wiki/Linear_probing">linear probing</a> algorithm </td></tr>
<tr id="row_7_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d8/d77/namespacemachine__learning.html" target="_self">machine_learning</a></td><td class="desc">Machine learning algorithms </td></tr>
<tr id="row_8_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d2/d3b/namespaceqr__algorithm.html" target="_self">qr_algorithm</a></td><td class="desc">Functions to compute <a href="https://en.wikipedia.org/wiki/QR_decomposition">QR decomposition</a> of any rectangular matrix </td></tr>
<tr id="row_9_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d4/dd2/namespacequadratic__probing.html" target="_self">quadratic_probing</a></td><td class="desc">An implementation of hash table using <a href="https://en.wikipedia.org/wiki/Quadratic_probing">quadratic probing</a> algorithm </td></tr>
<tr id="row_10_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d5/d91/namespacesorting.html" target="_self">sorting</a></td><td class="desc">Sorting algorithms </td></tr>
<tr id="row_11_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="da/dd3/namespacespirograph.html" target="_self">spirograph</a></td><td class="desc"></td></tr>
<tr id="row_12_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d2/dcf/namespacestatistics.html" target="_self">statistics</a></td><td class="desc">Statistical algorithms </td></tr>
<tr id="row_13_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d8/dcc/namespacestd.html" target="_self">std</a></td><td class="desc">STL namespace </td></tr>
<tr id="row_14_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d9/d03/namespacestring__search.html" target="_self">string_search</a></td><td class="desc">String search algorithms </td></tr>
<tr id="row_15_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d6/da2/namespacevigenere.html" target="_self">vigenere</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Vigen%C3%A8re_cipher">vigenère cipher</a> algorithm </td></tr>
<tr id="row_16_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d7/d47/namespace_x_o_r.html" target="_self">XOR</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/XOR_cipher">XOR cipher</a> algorithm </td></tr>
</table>
</div><!-- directory -->
</div><!-- contents -->

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@@ -5,6 +5,7 @@ var namespaces_dup =
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