Documentation for c26eea874d

This commit is contained in:
realstealthninja
2025-05-19 11:38:33 +00:00
parent c7a9a42397
commit 14583a2f33
2829 changed files with 30266 additions and 21669 deletions

View File

@@ -4,7 +4,7 @@
<head>
<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
<meta http-equiv="X-UA-Compatible" content="IE=11"/>
<meta name="generator" content="Doxygen 1.12.0"/>
<meta name="generator" content="Doxygen 1.13.2"/>
<meta name="viewport" content="width=device-width, initial-scale=1"/>
<title>TheAlgorithms/C++: graph::LowestCommonAncestor Class Reference</title>
<link rel="icon" href="../../favicon.svg" type="image/x-icon" />
@@ -60,7 +60,7 @@ window.MathJax = {
</table>
</div>
<!-- end header part -->
<!-- Generated by Doxygen 1.12.0 -->
<!-- Generated by Doxygen 1.13.2 -->
<script type="text/javascript">
/* @license magnet:?xt=urn:btih:d3d9a9a6595521f9666a5e94cc830dab83b65699&amp;dn=expat.txt MIT */
var searchBox = new SearchBox("searchBox", "../../search/",'.html');
@@ -180,7 +180,7 @@ Protected Member Functions</h2></td></tr>
</table>
</td>
<td class="mlabels-right">
<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">explicit</span></span> </td>
<span class="mlabels"><span class="mlabel inline">inline</span><span class="mlabel explicit">explicit</span></span> </td>
</tr>
</table>
</div><div class="memdoc">
@@ -224,7 +224,7 @@ Protected Member Functions</h2></td></tr>
</table>
</td>
<td class="mlabels-right">
<span class="mlabels"><span class="mlabel">inline</span></span> </td>
<span class="mlabels"><span class="mlabel inline">inline</span></span> </td>
</tr>
</table>
</div><div class="memdoc">
@@ -242,18 +242,18 @@ Protected Member Functions</h2></td></tr>
<p class="definition">Definition at line <a class="el" href="../../de/dde/lowest__common__ancestor_8cpp_source.html#l00164">164</a> of file <a class="el" href="../../de/dde/lowest__common__ancestor_8cpp_source.html">lowest_common_ancestor.cpp</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 164</span> {</div>
<div class="line"><span class="lineno"> 165</span> <span class="comment">// Ensure u is the deeper (higher level) of the two vertices</span></div>
<div class="line"><span class="lineno"> 166</span> <span class="keywordflow">if</span> (tree.<a class="code hl_variable" href="../../d0/d58/classgraph_1_1_rooted_tree.html#a2ee3ad1161ac2532da30c3e22c265ad3">level</a>[v] &gt; tree.<a class="code hl_variable" href="../../d0/d58/classgraph_1_1_rooted_tree.html#a2ee3ad1161ac2532da30c3e22c265ad3">level</a>[u]) {</div>
<div class="line"><span class="lineno"> 166</span> <span class="keywordflow">if</span> (tree.level[v] &gt; tree.level[u]) {</div>
<div class="line"><span class="lineno"> 167</span> std::swap(u, v);</div>
<div class="line"><span class="lineno"> 168</span> }</div>
<div class="line"><span class="lineno"> 169</span> </div>
<div class="line"><span class="lineno"> 170</span> <span class="comment">// &quot;Lift&quot; u to the same level as v.</span></div>
<div class="line"><span class="lineno"> 171</span> <span class="keywordtype">int</span> level_diff = tree.<a class="code hl_variable" href="../../d0/d58/classgraph_1_1_rooted_tree.html#a2ee3ad1161ac2532da30c3e22c265ad3">level</a>[u] - tree.<a class="code hl_variable" href="../../d0/d58/classgraph_1_1_rooted_tree.html#a2ee3ad1161ac2532da30c3e22c265ad3">level</a>[v];</div>
<div class="line"><span class="lineno"> 171</span> <span class="keywordtype">int</span> level_diff = tree.level[u] - tree.level[v];</div>
<div class="line"><span class="lineno"> 172</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; (1 &lt;&lt; i) &lt;= level_diff; ++i) {</div>
<div class="line"><span class="lineno"> 173</span> <span class="keywordflow">if</span> (level_diff &amp; (1 &lt;&lt; i)) {</div>
<div class="line"><span class="lineno"> 174</span> u = <a class="code hl_variable" href="#a46d10f669791e3da9a4809bd8ff8d3ad">up</a>[u][i];</div>
<div class="line"><span class="lineno"> 175</span> }</div>
<div class="line"><span class="lineno"> 176</span> }</div>
<div class="line"><span class="lineno"> 177</span> assert(tree.<a class="code hl_variable" href="../../d0/d58/classgraph_1_1_rooted_tree.html#a2ee3ad1161ac2532da30c3e22c265ad3">level</a>[u] == tree.<a class="code hl_variable" href="../../d0/d58/classgraph_1_1_rooted_tree.html#a2ee3ad1161ac2532da30c3e22c265ad3">level</a>[v]);</div>
<div class="line"><span class="lineno"> 177</span> assert(tree.level[u] == tree.level[v]);</div>
<div class="line"><span class="lineno"> 178</span> </div>
<div class="line"><span class="lineno"> 179</span> <span class="keywordflow">if</span> (u == v) {</div>
<div class="line"><span class="lineno"> 180</span> <span class="keywordflow">return</span> u;</div>
@@ -274,7 +274,6 @@ Protected Member Functions</h2></td></tr>
<div class="line"><span class="lineno"> 195</span> <span class="keywordflow">return</span> <a class="code hl_variable" href="#a46d10f669791e3da9a4809bd8ff8d3ad">up</a>[u][0];</div>
<div class="line"><span class="lineno"> 196</span> }</div>
<div class="ttc" id="aclassgraph_1_1_lowest_common_ancestor_html_a46d10f669791e3da9a4809bd8ff8d3ad"><div class="ttname"><a href="#a46d10f669791e3da9a4809bd8ff8d3ad">graph::LowestCommonAncestor::up</a></div><div class="ttdeci">std::vector&lt; std::vector&lt; int &gt; &gt; up</div><div class="ttdoc">for every vertex stores a list of its ancestors by powers of two For each vertex, the first element o...</div><div class="ttdef"><b>Definition</b> <a href="../../de/dde/lowest__common__ancestor_8cpp_source.html#l00206">lowest_common_ancestor.cpp:206</a></div></div>
<div class="ttc" id="aclassgraph_1_1_rooted_tree_html_a2ee3ad1161ac2532da30c3e22c265ad3"><div class="ttname"><a href="../../d0/d58/classgraph_1_1_rooted_tree.html#a2ee3ad1161ac2532da30c3e22c265ad3">graph::RootedTree::level</a></div><div class="ttdeci">std::vector&lt; int &gt; level</div><div class="ttdoc">Stores the distance from the root.</div><div class="ttdef"><b>Definition</b> <a href="../../de/dde/lowest__common__ancestor_8cpp_source.html#l00106">lowest_common_ancestor.cpp:106</a></div></div>
</div><!-- fragment -->
</div>
</div>
@@ -296,7 +295,7 @@ Protected Member Functions</h2></td></tr>
</table>
</td>
<td class="mlabels-right">
<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">protected</span></span> </td>
<span class="mlabels"><span class="mlabel inline">inline</span><span class="mlabel protected">protected</span></span> </td>
</tr>
</table>
</div><div class="memdoc">
@@ -304,12 +303,12 @@ Protected Member Functions</h2></td></tr>
<p class="definition">Definition at line <a class="el" href="../../de/dde/lowest__common__ancestor_8cpp_source.html#l00212">212</a> of file <a class="el" href="../../de/dde/lowest__common__ancestor_8cpp_source.html">lowest_common_ancestor.cpp</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 212</span> {</div>
<div class="line"><span class="lineno"> 213</span> <a class="code hl_variable" href="#a46d10f669791e3da9a4809bd8ff8d3ad">up</a>.resize(tree.<a class="code hl_function" href="../../dc/d61/classgraph_1_1_graph.html#a8930d1470d132b19e430d1c71f94c904">number_of_vertices</a>());</div>
<div class="line"><span class="lineno"> 214</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> vertex = 0; vertex &lt; tree.<a class="code hl_function" href="../../dc/d61/classgraph_1_1_graph.html#a8930d1470d132b19e430d1c71f94c904">number_of_vertices</a>(); ++vertex) {</div>
<div class="line"><span class="lineno"> 215</span> <a class="code hl_variable" href="#a46d10f669791e3da9a4809bd8ff8d3ad">up</a>[vertex].push_back(tree.<a class="code hl_variable" href="../../d0/d58/classgraph_1_1_rooted_tree.html#a3831583a91914988897a4cc8748fda43">parent</a>[vertex]);</div>
<div class="line"><span class="lineno"> 213</span> <a class="code hl_variable" href="#a46d10f669791e3da9a4809bd8ff8d3ad">up</a>.resize(tree.number_of_vertices());</div>
<div class="line"><span class="lineno"> 214</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> vertex = 0; vertex &lt; tree.number_of_vertices(); ++vertex) {</div>
<div class="line"><span class="lineno"> 215</span> <a class="code hl_variable" href="#a46d10f669791e3da9a4809bd8ff8d3ad">up</a>[vertex].push_back(tree.parent[vertex]);</div>
<div class="line"><span class="lineno"> 216</span> }</div>
<div class="line"><span class="lineno"> 217</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> level = 0; (1 &lt;&lt; level) &lt; tree.<a class="code hl_function" href="../../dc/d61/classgraph_1_1_graph.html#a8930d1470d132b19e430d1c71f94c904">number_of_vertices</a>(); ++level) {</div>
<div class="line"><span class="lineno"> 218</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> vertex = 0; vertex &lt; tree.<a class="code hl_function" href="../../dc/d61/classgraph_1_1_graph.html#a8930d1470d132b19e430d1c71f94c904">number_of_vertices</a>(); ++vertex) {</div>
<div class="line"><span class="lineno"> 217</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> level = 0; (1 &lt;&lt; level) &lt; tree.number_of_vertices(); ++level) {</div>
<div class="line"><span class="lineno"> 218</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> vertex = 0; vertex &lt; tree.number_of_vertices(); ++vertex) {</div>
<div class="line"><span class="lineno"> 219</span> <span class="comment">// up[vertex][level + 1] = 2^(level + 1) th ancestor of vertex =</span></div>
<div class="line"><span class="lineno"> 220</span> <span class="comment">// = 2^level th ancestor of 2^level th ancestor of vertex =</span></div>
<div class="line"><span class="lineno"> 221</span> <span class="comment">// = 2^level th ancestor of up[vertex][level]</span></div>
@@ -317,8 +316,6 @@ Protected Member Functions</h2></td></tr>
<div class="line"><span class="lineno"> 223</span> }</div>
<div class="line"><span class="lineno"> 224</span> }</div>
<div class="line"><span class="lineno"> 225</span> }</div>
<div class="ttc" id="aclassgraph_1_1_graph_html_a8930d1470d132b19e430d1c71f94c904"><div class="ttname"><a href="../../dc/d61/classgraph_1_1_graph.html#a8930d1470d132b19e430d1c71f94c904">graph::Graph::number_of_vertices</a></div><div class="ttdeci">int number_of_vertices() const</div><div class="ttdef"><b>Definition</b> <a href="../../de/dde/lowest__common__ancestor_8cpp_source.html#l00074">lowest_common_ancestor.cpp:74</a></div></div>
<div class="ttc" id="aclassgraph_1_1_rooted_tree_html_a3831583a91914988897a4cc8748fda43"><div class="ttname"><a href="../../d0/d58/classgraph_1_1_rooted_tree.html#a3831583a91914988897a4cc8748fda43">graph::RootedTree::parent</a></div><div class="ttdeci">std::vector&lt; int &gt; parent</div><div class="ttdoc">Stores parent of every vertex and for root its own index. The root is technically not its own parent,...</div><div class="ttdef"><b>Definition</b> <a href="../../de/dde/lowest__common__ancestor_8cpp_source.html#l00104">lowest_common_ancestor.cpp:104</a></div></div>
</div><!-- fragment -->
</div>
</div>
@@ -366,7 +363,7 @@ Protected Member Functions</h2></td></tr>
<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
<ul>
<li class="navelem"><a class="el" href="../../df/dce/namespacegraph.html">graph</a></li><li class="navelem"><a class="el" href="../../d9/d23/classgraph_1_1_lowest_common_ancestor.html">LowestCommonAncestor</a></li>
<li class="footer">Generated by <a href="https://www.doxygen.org/index.html"><img class="footer" src="../../doxygen.svg" width="104" height="31" alt="doxygen"/></a> 1.12.0 </li>
<li class="footer">Generated by <a href="https://www.doxygen.org/index.html"><img class="footer" src="../../doxygen.svg" width="104" height="31" alt="doxygen"/></a> 1.13.2 </li>
</ul>
</div>
</body>