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<div id="projectbrief">Set of algorithms implemented in C++.</div>
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Collaboration diagram for RBtree:</div>
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<tr class="memitem:a01ade919cc34cb2fa24bc07bc631f440" id="r_a01ade919cc34cb2fa24bc07bc631f440"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a01ade919cc34cb2fa24bc07bc631f440">delfix</a> (<a class="el" href="../../d5/da1/structnode.html">node</a> *)</td></tr>
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Private Attributes</h2></td></tr>
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<a class="el" href="../../d5/da1/structnode.html">node</a> *&#160;</td><td class="memItemRight" valign="bottom"><b>root</b></td></tr>
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<h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#a0f3e97969a8737098cea23d6b66ba981">&#9670;&#160;</a></span>RBtree()</h2>
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<td class="memname">RBtree::RBtree </td>
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<div class="fragment"><div class="line"><span class="lineno"> 19</span> {</div>
<div class="line"><span class="lineno"> 20</span> q = NULL;</div>
<div class="line"><span class="lineno"> 21</span> root = NULL;</div>
<div class="line"><span class="lineno"> 22</span> }</div>
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<h2 class="groupheader">Member Function Documentation</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#a5a9e8bcf8651413afec219b4b0d51704">&#9670;&#160;</a></span>del()</h2>
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<td class="memname">void RBtree::del </td>
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<div class="fragment"><div class="line"><span class="lineno"> 136</span>{</div>
<div class="line"><span class="lineno"> 137</span> <span class="keywordflow">if</span> (root == NULL)</div>
<div class="line"><span class="lineno"> 138</span> {</div>
<div class="line"><span class="lineno"> 139</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> &lt;&lt; <span class="stringliteral">&quot;\nEmpty Tree.&quot;</span>;</div>
<div class="line"><span class="lineno"> 140</span> <span class="keywordflow">return</span>;</div>
<div class="line"><span class="lineno"> 141</span> }</div>
<div class="line"><span class="lineno"> 142</span> <span class="keywordtype">int</span> x;</div>
<div class="line"><span class="lineno"> 143</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> &lt;&lt; <span class="stringliteral">&quot;\nEnter the key of the node to be deleted: &quot;</span>;</div>
<div class="line"><span class="lineno"> 144</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">cin</a> &gt;&gt; x;</div>
<div class="line"><span class="lineno"> 145</span> <a class="code hl_class" href="../../d5/da1/structnode.html">node</a> *p;</div>
<div class="line"><span class="lineno"> 146</span> p = root;</div>
<div class="line"><span class="lineno"> 147</span> <a class="code hl_class" href="../../d5/da1/structnode.html">node</a> *y = NULL;</div>
<div class="line"><span class="lineno"> 148</span> <a class="code hl_class" href="../../d5/da1/structnode.html">node</a> *q = NULL;</div>
<div class="line"><span class="lineno"> 149</span> <span class="keywordtype">int</span> found = 0;</div>
<div class="line"><span class="lineno"> 150</span> <span class="keywordflow">while</span> (p != NULL &amp;&amp; found == 0)</div>
<div class="line"><span class="lineno"> 151</span> {</div>
<div class="line"><span class="lineno"> 152</span> <span class="keywordflow">if</span> (p-&gt;key == x)</div>
<div class="line"><span class="lineno"> 153</span> found = 1;</div>
<div class="line"><span class="lineno"> 154</span> <span class="keywordflow">if</span> (found == 0)</div>
<div class="line"><span class="lineno"> 155</span> {</div>
<div class="line"><span class="lineno"> 156</span> <span class="keywordflow">if</span> (p-&gt;key &lt; x)</div>
<div class="line"><span class="lineno"> 157</span> p = p-&gt;right;</div>
<div class="line"><span class="lineno"> 158</span> <span class="keywordflow">else</span></div>
<div class="line"><span class="lineno"> 159</span> p = p-&gt;left;</div>
<div class="line"><span class="lineno"> 160</span> }</div>
<div class="line"><span class="lineno"> 161</span> }</div>
<div class="line"><span class="lineno"> 162</span> <span class="keywordflow">if</span> (found == 0)</div>
<div class="line"><span class="lineno"> 163</span> {</div>
<div class="line"><span class="lineno"> 164</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> &lt;&lt; <span class="stringliteral">&quot;\nElement Not Found.&quot;</span>;</div>
<div class="line"><span class="lineno"> 165</span> <span class="keywordflow">return</span>;</div>
<div class="line"><span class="lineno"> 166</span> }</div>
<div class="line"><span class="lineno"> 167</span> <span class="keywordflow">else</span></div>
<div class="line"><span class="lineno"> 168</span> {</div>
<div class="line"><span class="lineno"> 169</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> &lt;&lt; <span class="stringliteral">&quot;\nDeleted Element: &quot;</span> &lt;&lt; p-&gt;key;</div>
<div class="line"><span class="lineno"> 170</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> &lt;&lt; <span class="stringliteral">&quot;\nColour: &quot;</span>;</div>
<div class="line"><span class="lineno"> 171</span> <span class="keywordflow">if</span> (p-&gt;color == <span class="charliteral">&#39;b&#39;</span>)</div>
<div class="line"><span class="lineno"> 172</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> &lt;&lt; <span class="stringliteral">&quot;Black\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 173</span> <span class="keywordflow">else</span></div>
<div class="line"><span class="lineno"> 174</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> &lt;&lt; <span class="stringliteral">&quot;Red\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 175</span> </div>
<div class="line"><span class="lineno"> 176</span> <span class="keywordflow">if</span> (p-&gt;parent != NULL)</div>
<div class="line"><span class="lineno"> 177</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> &lt;&lt; <span class="stringliteral">&quot;\nParent: &quot;</span> &lt;&lt; p-&gt;parent-&gt;key;</div>
<div class="line"><span class="lineno"> 178</span> <span class="keywordflow">else</span></div>
<div class="line"><span class="lineno"> 179</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> &lt;&lt; <span class="stringliteral">&quot;\nThere is no parent of the node. &quot;</span>;</div>
<div class="line"><span class="lineno"> 180</span> <span class="keywordflow">if</span> (p-&gt;right != NULL)</div>
<div class="line"><span class="lineno"> 181</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> &lt;&lt; <span class="stringliteral">&quot;\nRight Child: &quot;</span> &lt;&lt; p-&gt;right-&gt;key;</div>
<div class="line"><span class="lineno"> 182</span> <span class="keywordflow">else</span></div>
<div class="line"><span class="lineno"> 183</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> &lt;&lt; <span class="stringliteral">&quot;\nThere is no right child of the node. &quot;</span>;</div>
<div class="line"><span class="lineno"> 184</span> <span class="keywordflow">if</span> (p-&gt;left != NULL)</div>
<div class="line"><span class="lineno"> 185</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> &lt;&lt; <span class="stringliteral">&quot;\nLeft Child: &quot;</span> &lt;&lt; p-&gt;left-&gt;key;</div>
<div class="line"><span class="lineno"> 186</span> <span class="keywordflow">else</span></div>
<div class="line"><span class="lineno"> 187</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> &lt;&lt; <span class="stringliteral">&quot;\nThere is no left child of the node. &quot;</span>;</div>
<div class="line"><span class="lineno"> 188</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> &lt;&lt; <span class="stringliteral">&quot;\nNode Deleted.&quot;</span>;</div>
<div class="line"><span class="lineno"> 189</span> <span class="keywordflow">if</span> (p-&gt;left == NULL || p-&gt;right == NULL)</div>
<div class="line"><span class="lineno"> 190</span> y = p;</div>
<div class="line"><span class="lineno"> 191</span> <span class="keywordflow">else</span></div>
<div class="line"><span class="lineno"> 192</span> y = successor(p);</div>
<div class="line"><span class="lineno"> 193</span> <span class="keywordflow">if</span> (y-&gt;left != NULL)</div>
<div class="line"><span class="lineno"> 194</span> q = y-&gt;left;</div>
<div class="line"><span class="lineno"> 195</span> <span class="keywordflow">else</span></div>
<div class="line"><span class="lineno"> 196</span> {</div>
<div class="line"><span class="lineno"> 197</span> <span class="keywordflow">if</span> (y-&gt;right != NULL)</div>
<div class="line"><span class="lineno"> 198</span> q = y-&gt;right;</div>
<div class="line"><span class="lineno"> 199</span> <span class="keywordflow">else</span></div>
<div class="line"><span class="lineno"> 200</span> q = NULL;</div>
<div class="line"><span class="lineno"> 201</span> }</div>
<div class="line"><span class="lineno"> 202</span> <span class="keywordflow">if</span> (q != NULL)</div>
<div class="line"><span class="lineno"> 203</span> q-&gt;parent = y-&gt;parent;</div>
<div class="line"><span class="lineno"> 204</span> <span class="keywordflow">if</span> (y-&gt;parent == NULL)</div>
<div class="line"><span class="lineno"> 205</span> root = q;</div>
<div class="line"><span class="lineno"> 206</span> <span class="keywordflow">else</span></div>
<div class="line"><span class="lineno"> 207</span> {</div>
<div class="line"><span class="lineno"> 208</span> <span class="keywordflow">if</span> (y == y-&gt;parent-&gt;left)</div>
<div class="line"><span class="lineno"> 209</span> y-&gt;parent-&gt;left = q;</div>
<div class="line"><span class="lineno"> 210</span> <span class="keywordflow">else</span></div>
<div class="line"><span class="lineno"> 211</span> y-&gt;parent-&gt;right = q;</div>
<div class="line"><span class="lineno"> 212</span> }</div>
<div class="line"><span class="lineno"> 213</span> <span class="keywordflow">if</span> (y != p)</div>
<div class="line"><span class="lineno"> 214</span> {</div>
<div class="line"><span class="lineno"> 215</span> p-&gt;color = y-&gt;color;</div>
<div class="line"><span class="lineno"> 216</span> p-&gt;key = y-&gt;key;</div>
<div class="line"><span class="lineno"> 217</span> }</div>
<div class="line"><span class="lineno"> 218</span> <span class="keywordflow">if</span> (y-&gt;color == <span class="charliteral">&#39;b&#39;</span>)</div>
<div class="line"><span class="lineno"> 219</span> delfix(q);</div>
<div class="line"><span class="lineno"> 220</span> }</div>
<div class="line"><span class="lineno"> 221</span>}</div>
<div class="ttc" id="abasic_istream_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a></div></div>
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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> binary_search_tree.cpp:11</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#a01ade919cc34cb2fa24bc07bc631f440">&#9670;&#160;</a></span>delfix()</h2>
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<td class="memname">void RBtree::delfix </td>
<td>(</td>
<td class="paramtype"><a class="el" href="../../d5/da1/structnode.html">node</a> *</td> <td class="paramname"><span class="paramname"><em>p</em></span></td><td>)</td>
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<div class="fragment"><div class="line"><span class="lineno"> 224</span>{</div>
<div class="line"><span class="lineno"> 225</span> <a class="code hl_class" href="../../d5/da1/structnode.html">node</a> *s;</div>
<div class="line"><span class="lineno"> 226</span> <span class="keywordflow">while</span> (p != root &amp;&amp; p-&gt;color == <span class="charliteral">&#39;b&#39;</span>)</div>
<div class="line"><span class="lineno"> 227</span> {</div>
<div class="line"><span class="lineno"> 228</span> <span class="keywordflow">if</span> (p-&gt;parent-&gt;left == p)</div>
<div class="line"><span class="lineno"> 229</span> {</div>
<div class="line"><span class="lineno"> 230</span> s = p-&gt;parent-&gt;right;</div>
<div class="line"><span class="lineno"> 231</span> <span class="keywordflow">if</span> (s-&gt;color == <span class="charliteral">&#39;r&#39;</span>)</div>
<div class="line"><span class="lineno"> 232</span> {</div>
<div class="line"><span class="lineno"> 233</span> s-&gt;color = <span class="charliteral">&#39;b&#39;</span>;</div>
<div class="line"><span class="lineno"> 234</span> p-&gt;parent-&gt;color = <span class="charliteral">&#39;r&#39;</span>;</div>
<div class="line"><span class="lineno"> 235</span> leftrotate(p-&gt;parent);</div>
<div class="line"><span class="lineno"> 236</span> s = p-&gt;parent-&gt;right;</div>
<div class="line"><span class="lineno"> 237</span> }</div>
<div class="line"><span class="lineno"> 238</span> <span class="keywordflow">if</span> (s-&gt;right-&gt;color == <span class="charliteral">&#39;b&#39;</span>&amp;&amp;s-&gt;left-&gt;color == <span class="charliteral">&#39;b&#39;</span>)</div>
<div class="line"><span class="lineno"> 239</span> {</div>
<div class="line"><span class="lineno"> 240</span> s-&gt;color = <span class="charliteral">&#39;r&#39;</span>;</div>
<div class="line"><span class="lineno"> 241</span> p = p-&gt;parent;</div>
<div class="line"><span class="lineno"> 242</span> }</div>
<div class="line"><span class="lineno"> 243</span> <span class="keywordflow">else</span></div>
<div class="line"><span class="lineno"> 244</span> {</div>
<div class="line"><span class="lineno"> 245</span> <span class="keywordflow">if</span> (s-&gt;right-&gt;color == <span class="charliteral">&#39;b&#39;</span>)</div>
<div class="line"><span class="lineno"> 246</span> {</div>
<div class="line"><span class="lineno"> 247</span> s-&gt;left-&gt;color = <span class="charliteral">&#39;b&#39;</span>;</div>
<div class="line"><span class="lineno"> 248</span> s-&gt;color = <span class="charliteral">&#39;r&#39;</span>;</div>
<div class="line"><span class="lineno"> 249</span> rightrotate(s);</div>
<div class="line"><span class="lineno"> 250</span> s = p-&gt;parent-&gt;right;</div>
<div class="line"><span class="lineno"> 251</span> }</div>
<div class="line"><span class="lineno"> 252</span> s-&gt;color = p-&gt;parent-&gt;color;</div>
<div class="line"><span class="lineno"> 253</span> p-&gt;parent-&gt;color = <span class="charliteral">&#39;b&#39;</span>;</div>
<div class="line"><span class="lineno"> 254</span> s-&gt;right-&gt;color = <span class="charliteral">&#39;b&#39;</span>;</div>
<div class="line"><span class="lineno"> 255</span> leftrotate(p-&gt;parent);</div>
<div class="line"><span class="lineno"> 256</span> p = root;</div>
<div class="line"><span class="lineno"> 257</span> }</div>
<div class="line"><span class="lineno"> 258</span> }</div>
<div class="line"><span class="lineno"> 259</span> <span class="keywordflow">else</span></div>
<div class="line"><span class="lineno"> 260</span> {</div>
<div class="line"><span class="lineno"> 261</span> s = p-&gt;parent-&gt;left;</div>
<div class="line"><span class="lineno"> 262</span> <span class="keywordflow">if</span> (s-&gt;color == <span class="charliteral">&#39;r&#39;</span>)</div>
<div class="line"><span class="lineno"> 263</span> {</div>
<div class="line"><span class="lineno"> 264</span> s-&gt;color = <span class="charliteral">&#39;b&#39;</span>;</div>
<div class="line"><span class="lineno"> 265</span> p-&gt;parent-&gt;color = <span class="charliteral">&#39;r&#39;</span>;</div>
<div class="line"><span class="lineno"> 266</span> rightrotate(p-&gt;parent);</div>
<div class="line"><span class="lineno"> 267</span> s = p-&gt;parent-&gt;left;</div>
<div class="line"><span class="lineno"> 268</span> }</div>
<div class="line"><span class="lineno"> 269</span> <span class="keywordflow">if</span> (s-&gt;left-&gt;color == <span class="charliteral">&#39;b&#39;</span>&amp;&amp;s-&gt;right-&gt;color == <span class="charliteral">&#39;b&#39;</span>)</div>
<div class="line"><span class="lineno"> 270</span> {</div>
<div class="line"><span class="lineno"> 271</span> s-&gt;color = <span class="charliteral">&#39;r&#39;</span>;</div>
<div class="line"><span class="lineno"> 272</span> p = p-&gt;parent;</div>
<div class="line"><span class="lineno"> 273</span> }</div>
<div class="line"><span class="lineno"> 274</span> <span class="keywordflow">else</span></div>
<div class="line"><span class="lineno"> 275</span> {</div>
<div class="line"><span class="lineno"> 276</span> <span class="keywordflow">if</span> (s-&gt;left-&gt;color == <span class="charliteral">&#39;b&#39;</span>)</div>
<div class="line"><span class="lineno"> 277</span> {</div>
<div class="line"><span class="lineno"> 278</span> s-&gt;right-&gt;color = <span class="charliteral">&#39;b&#39;</span>;</div>
<div class="line"><span class="lineno"> 279</span> s-&gt;color = <span class="charliteral">&#39;r&#39;</span>;</div>
<div class="line"><span class="lineno"> 280</span> leftrotate(s);</div>
<div class="line"><span class="lineno"> 281</span> s = p-&gt;parent-&gt;left;</div>
<div class="line"><span class="lineno"> 282</span> }</div>
<div class="line"><span class="lineno"> 283</span> s-&gt;color = p-&gt;parent-&gt;color;</div>
<div class="line"><span class="lineno"> 284</span> p-&gt;parent-&gt;color = <span class="charliteral">&#39;b&#39;</span>;</div>
<div class="line"><span class="lineno"> 285</span> s-&gt;left-&gt;color = <span class="charliteral">&#39;b&#39;</span>;</div>
<div class="line"><span class="lineno"> 286</span> rightrotate(p-&gt;parent);</div>
<div class="line"><span class="lineno"> 287</span> p = root;</div>
<div class="line"><span class="lineno"> 288</span> }</div>
<div class="line"><span class="lineno"> 289</span> }</div>
<div class="line"><span class="lineno"> 290</span> p-&gt;color = <span class="charliteral">&#39;b&#39;</span>;</div>
<div class="line"><span class="lineno"> 291</span> root-&gt;color = <span class="charliteral">&#39;b&#39;</span>;</div>
<div class="line"><span class="lineno"> 292</span> }</div>
<div class="line"><span class="lineno"> 293</span>}</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a94a8072ec181ba69cbe3bfa2976beee8">&#9670;&#160;</a></span>disp()</h2>
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<td class="memname">void RBtree::disp </td>
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<div class="fragment"><div class="line"><span class="lineno"> 373</span>{</div>
<div class="line"><span class="lineno"> 374</span> display(root);</div>
<div class="line"><span class="lineno"> 375</span>}</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a860d40eefb48ac948be2dad4d3990535">&#9670;&#160;</a></span>display()</h2>
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<td class="memname">void RBtree::display </td>
<td>(</td>
<td class="paramtype"><a class="el" href="../../d5/da1/structnode.html">node</a> *</td> <td class="paramname"><span class="paramname"><em>p</em></span></td><td>)</td>
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<div class="fragment"><div class="line"><span class="lineno"> 377</span>{</div>
<div class="line"><span class="lineno"> 378</span> <span class="keywordflow">if</span> (root == NULL)</div>
<div class="line"><span class="lineno"> 379</span> {</div>
<div class="line"><span class="lineno"> 380</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> &lt;&lt; <span class="stringliteral">&quot;\nEmpty Tree.&quot;</span>;</div>
<div class="line"><span class="lineno"> 381</span> <span class="keywordflow">return</span>;</div>
<div class="line"><span class="lineno"> 382</span> }</div>
<div class="line"><span class="lineno"> 383</span> <span class="keywordflow">if</span> (p != NULL)</div>
<div class="line"><span class="lineno"> 384</span> {</div>
<div class="line"><span class="lineno"> 385</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> &lt;&lt; <span class="stringliteral">&quot;\n\t NODE: &quot;</span>;</div>
<div class="line"><span class="lineno"> 386</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> &lt;&lt; <span class="stringliteral">&quot;\n Key: &quot;</span> &lt;&lt; p-&gt;key;</div>
<div class="line"><span class="lineno"> 387</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> &lt;&lt; <span class="stringliteral">&quot;\n Colour: &quot;</span>;</div>
<div class="line"><span class="lineno"> 388</span> <span class="keywordflow">if</span> (p-&gt;color == <span class="charliteral">&#39;b&#39;</span>)</div>
<div class="line"><span class="lineno"> 389</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> &lt;&lt; <span class="stringliteral">&quot;Black&quot;</span>;</div>
<div class="line"><span class="lineno"> 390</span> <span class="keywordflow">else</span></div>
<div class="line"><span class="lineno"> 391</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> &lt;&lt; <span class="stringliteral">&quot;Red&quot;</span>;</div>
<div class="line"><span class="lineno"> 392</span> <span class="keywordflow">if</span> (p-&gt;parent != NULL)</div>
<div class="line"><span class="lineno"> 393</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> &lt;&lt; <span class="stringliteral">&quot;\n Parent: &quot;</span> &lt;&lt; p-&gt;parent-&gt;key;</div>
<div class="line"><span class="lineno"> 394</span> <span class="keywordflow">else</span></div>
<div class="line"><span class="lineno"> 395</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> &lt;&lt; <span class="stringliteral">&quot;\n There is no parent of the node. &quot;</span>;</div>
<div class="line"><span class="lineno"> 396</span> <span class="keywordflow">if</span> (p-&gt;right != NULL)</div>
<div class="line"><span class="lineno"> 397</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> &lt;&lt; <span class="stringliteral">&quot;\n Right Child: &quot;</span> &lt;&lt; p-&gt;right-&gt;key;</div>
<div class="line"><span class="lineno"> 398</span> <span class="keywordflow">else</span></div>
<div class="line"><span class="lineno"> 399</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> &lt;&lt; <span class="stringliteral">&quot;\n There is no right child of the node. &quot;</span>;</div>
<div class="line"><span class="lineno"> 400</span> <span class="keywordflow">if</span> (p-&gt;left != NULL)</div>
<div class="line"><span class="lineno"> 401</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> &lt;&lt; <span class="stringliteral">&quot;\n Left Child: &quot;</span> &lt;&lt; p-&gt;left-&gt;key;</div>
<div class="line"><span class="lineno"> 402</span> <span class="keywordflow">else</span></div>
<div class="line"><span class="lineno"> 403</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> &lt;&lt; <span class="stringliteral">&quot;\n There is no left child of the node. &quot;</span>;</div>
<div class="line"><span class="lineno"> 404</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> &lt;&lt; <a class="code hl_define" href="../../d7/d35/matrix__exponentiation_8cpp.html#a600eaf353befc174637855795f12d258">endl</a>;</div>
<div class="line"><span class="lineno"> 405</span> <span class="keywordflow">if</span> (p-&gt;left)</div>
<div class="line"><span class="lineno"> 406</span> {</div>
<div class="line"><span class="lineno"> 407</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> &lt;&lt; <span class="stringliteral">&quot;\n\nLeft:\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 408</span> display(p-&gt;left);</div>
<div class="line"><span class="lineno"> 409</span> }</div>
<div class="line"><span class="lineno"> 410</span> <span class="comment">/*else</span></div>
<div class="line"><span class="lineno"> 411</span><span class="comment"> cout&lt;&lt;&quot;\nNo Left Child.\n&quot;;*/</span></div>
<div class="line"><span class="lineno"> 412</span> <span class="keywordflow">if</span> (p-&gt;right)</div>
<div class="line"><span class="lineno"> 413</span> {</div>
<div class="line"><span class="lineno"> 414</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> &lt;&lt; <span class="stringliteral">&quot;\n\nRight:\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 415</span> display(p-&gt;right);</div>
<div class="line"><span class="lineno"> 416</span> }</div>
<div class="line"><span class="lineno"> 417</span> <span class="comment">/*else</span></div>
<div class="line"><span class="lineno"> 418</span><span class="comment"> cout&lt;&lt;&quot;\nNo Right Child.\n&quot;*/</span></div>
<div class="line"><span class="lineno"> 419</span> }</div>
<div class="line"><span class="lineno"> 420</span>}</div>
<div class="ttc" id="amatrix__exponentiation_8cpp_html_a600eaf353befc174637855795f12d258"><div class="ttname"><a href="../../d7/d35/matrix__exponentiation_8cpp.html#a600eaf353befc174637855795f12d258">endl</a></div><div class="ttdeci">#define endl</div><div class="ttdef"><b>Definition</b> matrix_exponentiation.cpp:36</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#a7079253fc09a70388a3c0b975e9fdc08">&#9670;&#160;</a></span>insert()</h2>
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<td class="memname">void RBtree::insert </td>
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<div class="fragment"><div class="line"><span class="lineno"> 35</span>{</div>
<div class="line"><span class="lineno"> 36</span> <span class="keywordtype">int</span> z, i = 0;</div>
<div class="line"><span class="lineno"> 37</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> &lt;&lt; <span class="stringliteral">&quot;\nEnter key of the node to be inserted: &quot;</span>;</div>
<div class="line"><span class="lineno"> 38</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">cin</a> &gt;&gt; z;</div>
<div class="line"><span class="lineno"> 39</span> <a class="code hl_class" href="../../d5/da1/structnode.html">node</a> *p, *q;</div>
<div class="line"><span class="lineno"> 40</span> <a class="code hl_class" href="../../d5/da1/structnode.html">node</a> *t = <span class="keyword">new</span> <a class="code hl_typedef" href="../../d8/dee/avltree_8cpp.html#a74f0cf18a0e5b832d9994e2f2d022287">node</a>;</div>
<div class="line"><span class="lineno"> 41</span> t-&gt;key = z;</div>
<div class="line"><span class="lineno"> 42</span> t-&gt;left = NULL;</div>
<div class="line"><span class="lineno"> 43</span> t-&gt;right = NULL;</div>
<div class="line"><span class="lineno"> 44</span> t-&gt;color = <span class="charliteral">&#39;r&#39;</span>;</div>
<div class="line"><span class="lineno"> 45</span> p = root;</div>
<div class="line"><span class="lineno"> 46</span> q = NULL;</div>
<div class="line"><span class="lineno"> 47</span> <span class="keywordflow">if</span> (root == NULL)</div>
<div class="line"><span class="lineno"> 48</span> {</div>
<div class="line"><span class="lineno"> 49</span> root = t;</div>
<div class="line"><span class="lineno"> 50</span> t-&gt;parent = NULL;</div>
<div class="line"><span class="lineno"> 51</span> }</div>
<div class="line"><span class="lineno"> 52</span> <span class="keywordflow">else</span></div>
<div class="line"><span class="lineno"> 53</span> {</div>
<div class="line"><span class="lineno"> 54</span> <span class="keywordflow">while</span> (p != NULL)</div>
<div class="line"><span class="lineno"> 55</span> {</div>
<div class="line"><span class="lineno"> 56</span> q = p;</div>
<div class="line"><span class="lineno"> 57</span> <span class="keywordflow">if</span> (p-&gt;key &lt; t-&gt;key)</div>
<div class="line"><span class="lineno"> 58</span> p = p-&gt;right;</div>
<div class="line"><span class="lineno"> 59</span> <span class="keywordflow">else</span></div>
<div class="line"><span class="lineno"> 60</span> p = p-&gt;left;</div>
<div class="line"><span class="lineno"> 61</span> }</div>
<div class="line"><span class="lineno"> 62</span> t-&gt;parent = q;</div>
<div class="line"><span class="lineno"> 63</span> <span class="keywordflow">if</span> (q-&gt;key &lt; t-&gt;key)</div>
<div class="line"><span class="lineno"> 64</span> q-&gt;right = t;</div>
<div class="line"><span class="lineno"> 65</span> <span class="keywordflow">else</span></div>
<div class="line"><span class="lineno"> 66</span> q-&gt;left = t;</div>
<div class="line"><span class="lineno"> 67</span> }</div>
<div class="line"><span class="lineno"> 68</span> insertfix(t);</div>
<div class="line"><span class="lineno"> 69</span>}</div>
<div class="ttc" id="aavltree_8cpp_html_a74f0cf18a0e5b832d9994e2f2d022287"><div class="ttname"><a href="../../d8/dee/avltree_8cpp.html#a74f0cf18a0e5b832d9994e2f2d022287">node</a></div><div class="ttdeci">struct node { int data; int height; struct node *left; struct node *right;} node</div><div class="ttdoc">for std::queue</div><div class="ttdef"><b>Definition</b> avltree.cpp:13</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#a65b1a4fad18419a577bcb5d7bdc29512">&#9670;&#160;</a></span>insertfix()</h2>
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<td class="memname">void RBtree::insertfix </td>
<td>(</td>
<td class="paramtype"><a class="el" href="../../d5/da1/structnode.html">node</a> *</td> <td class="paramname"><span class="paramname"><em>t</em></span></td><td>)</td>
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<div class="fragment"><div class="line"><span class="lineno"> 71</span>{</div>
<div class="line"><span class="lineno"> 72</span> <a class="code hl_class" href="../../d5/da1/structnode.html">node</a> *u;</div>
<div class="line"><span class="lineno"> 73</span> <span class="keywordflow">if</span> (root == t)</div>
<div class="line"><span class="lineno"> 74</span> {</div>
<div class="line"><span class="lineno"> 75</span> t-&gt;color = <span class="charliteral">&#39;b&#39;</span>;</div>
<div class="line"><span class="lineno"> 76</span> <span class="keywordflow">return</span>;</div>
<div class="line"><span class="lineno"> 77</span> }</div>
<div class="line"><span class="lineno"> 78</span> <span class="keywordflow">while</span> (t-&gt;parent != NULL &amp;&amp; t-&gt;parent-&gt;color == <span class="charliteral">&#39;r&#39;</span>)</div>
<div class="line"><span class="lineno"> 79</span> {</div>
<div class="line"><span class="lineno"> 80</span> <a class="code hl_class" href="../../d5/da1/structnode.html">node</a> *<a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a2f67508d5f392b0321772169342c98ad">g</a> = t-&gt;parent-&gt;parent;</div>
<div class="line"><span class="lineno"> 81</span> <span class="keywordflow">if</span> (<a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a2f67508d5f392b0321772169342c98ad">g</a>-&gt;left == t-&gt;parent)</div>
<div class="line"><span class="lineno"> 82</span> {</div>
<div class="line"><span class="lineno"> 83</span> <span class="keywordflow">if</span> (<a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a2f67508d5f392b0321772169342c98ad">g</a>-&gt;right != NULL)</div>
<div class="line"><span class="lineno"> 84</span> {</div>
<div class="line"><span class="lineno"> 85</span> u = <a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a2f67508d5f392b0321772169342c98ad">g</a>-&gt;right;</div>
<div class="line"><span class="lineno"> 86</span> <span class="keywordflow">if</span> (u-&gt;color == <span class="charliteral">&#39;r&#39;</span>)</div>
<div class="line"><span class="lineno"> 87</span> {</div>
<div class="line"><span class="lineno"> 88</span> t-&gt;parent-&gt;color = <span class="charliteral">&#39;b&#39;</span>;</div>
<div class="line"><span class="lineno"> 89</span> u-&gt;color = <span class="charliteral">&#39;b&#39;</span>;</div>
<div class="line"><span class="lineno"> 90</span> <a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a2f67508d5f392b0321772169342c98ad">g</a>-&gt;color = <span class="charliteral">&#39;r&#39;</span>;</div>
<div class="line"><span class="lineno"> 91</span> t = <a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a2f67508d5f392b0321772169342c98ad">g</a>;</div>
<div class="line"><span class="lineno"> 92</span> }</div>
<div class="line"><span class="lineno"> 93</span> }</div>
<div class="line"><span class="lineno"> 94</span> <span class="keywordflow">else</span></div>
<div class="line"><span class="lineno"> 95</span> {</div>
<div class="line"><span class="lineno"> 96</span> <span class="keywordflow">if</span> (t-&gt;parent-&gt;right == t)</div>
<div class="line"><span class="lineno"> 97</span> {</div>
<div class="line"><span class="lineno"> 98</span> t = t-&gt;parent;</div>
<div class="line"><span class="lineno"> 99</span> leftrotate(t);</div>
<div class="line"><span class="lineno"> 100</span> }</div>
<div class="line"><span class="lineno"> 101</span> t-&gt;parent-&gt;color = <span class="charliteral">&#39;b&#39;</span>;</div>
<div class="line"><span class="lineno"> 102</span> <a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a2f67508d5f392b0321772169342c98ad">g</a>-&gt;color = <span class="charliteral">&#39;r&#39;</span>;</div>
<div class="line"><span class="lineno"> 103</span> rightrotate(g);</div>
<div class="line"><span class="lineno"> 104</span> }</div>
<div class="line"><span class="lineno"> 105</span> }</div>
<div class="line"><span class="lineno"> 106</span> <span class="keywordflow">else</span></div>
<div class="line"><span class="lineno"> 107</span> {</div>
<div class="line"><span class="lineno"> 108</span> <span class="keywordflow">if</span> (<a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a2f67508d5f392b0321772169342c98ad">g</a>-&gt;left != NULL)</div>
<div class="line"><span class="lineno"> 109</span> {</div>
<div class="line"><span class="lineno"> 110</span> u = <a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a2f67508d5f392b0321772169342c98ad">g</a>-&gt;left;</div>
<div class="line"><span class="lineno"> 111</span> <span class="keywordflow">if</span> (u-&gt;color == <span class="charliteral">&#39;r&#39;</span>)</div>
<div class="line"><span class="lineno"> 112</span> {</div>
<div class="line"><span class="lineno"> 113</span> t-&gt;parent-&gt;color = <span class="charliteral">&#39;b&#39;</span>;</div>
<div class="line"><span class="lineno"> 114</span> u-&gt;color = <span class="charliteral">&#39;b&#39;</span>;</div>
<div class="line"><span class="lineno"> 115</span> <a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a2f67508d5f392b0321772169342c98ad">g</a>-&gt;color = <span class="charliteral">&#39;r&#39;</span>;</div>
<div class="line"><span class="lineno"> 116</span> t = <a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a2f67508d5f392b0321772169342c98ad">g</a>;</div>
<div class="line"><span class="lineno"> 117</span> }</div>
<div class="line"><span class="lineno"> 118</span> }</div>
<div class="line"><span class="lineno"> 119</span> <span class="keywordflow">else</span></div>
<div class="line"><span class="lineno"> 120</span> {</div>
<div class="line"><span class="lineno"> 121</span> <span class="keywordflow">if</span> (t-&gt;parent-&gt;left == t)</div>
<div class="line"><span class="lineno"> 122</span> {</div>
<div class="line"><span class="lineno"> 123</span> t = t-&gt;parent;</div>
<div class="line"><span class="lineno"> 124</span> rightrotate(t);</div>
<div class="line"><span class="lineno"> 125</span> }</div>
<div class="line"><span class="lineno"> 126</span> t-&gt;parent-&gt;color = <span class="charliteral">&#39;b&#39;</span>;</div>
<div class="line"><span class="lineno"> 127</span> <a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a2f67508d5f392b0321772169342c98ad">g</a>-&gt;color = <span class="charliteral">&#39;r&#39;</span>;</div>
<div class="line"><span class="lineno"> 128</span> leftrotate(g);</div>
<div class="line"><span class="lineno"> 129</span> }</div>
<div class="line"><span class="lineno"> 130</span> }</div>
<div class="line"><span class="lineno"> 131</span> root-&gt;color = <span class="charliteral">&#39;b&#39;</span>;</div>
<div class="line"><span class="lineno"> 132</span> }</div>
<div class="line"><span class="lineno"> 133</span>}</div>
<div class="ttc" id="acomposite__simpson__rule_8cpp_html_a2f67508d5f392b0321772169342c98ad"><div class="ttname"><a href="../../d4/d18/composite__simpson__rule_8cpp.html#a2f67508d5f392b0321772169342c98ad">numerical_methods::simpson_method::g</a></div><div class="ttdeci">double g(double x)</div><div class="ttdoc">Another test function.</div><div class="ttdef"><b>Definition</b> composite_simpson_rule.cpp:115</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#a85750df7084f843206e83e8a68f5e761">&#9670;&#160;</a></span>leftrotate()</h2>
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<td class="memname">void RBtree::leftrotate </td>
<td>(</td>
<td class="paramtype"><a class="el" href="../../d5/da1/structnode.html">node</a> *</td> <td class="paramname"><span class="paramname"><em>p</em></span></td><td>)</td>
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<div class="fragment"><div class="line"><span class="lineno"> 296</span>{</div>
<div class="line"><span class="lineno"> 297</span> <span class="keywordflow">if</span> (p-&gt;right == NULL)</div>
<div class="line"><span class="lineno"> 298</span> <span class="keywordflow">return</span>;</div>
<div class="line"><span class="lineno"> 299</span> <span class="keywordflow">else</span></div>
<div class="line"><span class="lineno"> 300</span> {</div>
<div class="line"><span class="lineno"> 301</span> <a class="code hl_class" href="../../d5/da1/structnode.html">node</a> *y = p-&gt;right;</div>
<div class="line"><span class="lineno"> 302</span> <span class="keywordflow">if</span> (y-&gt;left != NULL)</div>
<div class="line"><span class="lineno"> 303</span> {</div>
<div class="line"><span class="lineno"> 304</span> p-&gt;right = y-&gt;left;</div>
<div class="line"><span class="lineno"> 305</span> y-&gt;left-&gt;parent = p;</div>
<div class="line"><span class="lineno"> 306</span> }</div>
<div class="line"><span class="lineno"> 307</span> <span class="keywordflow">else</span></div>
<div class="line"><span class="lineno"> 308</span> p-&gt;right = NULL;</div>
<div class="line"><span class="lineno"> 309</span> <span class="keywordflow">if</span> (p-&gt;parent != NULL)</div>
<div class="line"><span class="lineno"> 310</span> y-&gt;parent = p-&gt;parent;</div>
<div class="line"><span class="lineno"> 311</span> <span class="keywordflow">if</span> (p-&gt;parent == NULL)</div>
<div class="line"><span class="lineno"> 312</span> root = y;</div>
<div class="line"><span class="lineno"> 313</span> <span class="keywordflow">else</span></div>
<div class="line"><span class="lineno"> 314</span> {</div>
<div class="line"><span class="lineno"> 315</span> <span class="keywordflow">if</span> (p == p-&gt;parent-&gt;left)</div>
<div class="line"><span class="lineno"> 316</span> p-&gt;parent-&gt;left = y;</div>
<div class="line"><span class="lineno"> 317</span> <span class="keywordflow">else</span></div>
<div class="line"><span class="lineno"> 318</span> p-&gt;parent-&gt;right = y;</div>
<div class="line"><span class="lineno"> 319</span> }</div>
<div class="line"><span class="lineno"> 320</span> y-&gt;left = p;</div>
<div class="line"><span class="lineno"> 321</span> p-&gt;parent = y;</div>
<div class="line"><span class="lineno"> 322</span> }</div>
<div class="line"><span class="lineno"> 323</span>}</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a1359f8f04ad2046256f5a2b575ad3dd1">&#9670;&#160;</a></span>rightrotate()</h2>
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<td class="memname">void RBtree::rightrotate </td>
<td>(</td>
<td class="paramtype"><a class="el" href="../../d5/da1/structnode.html">node</a> *</td> <td class="paramname"><span class="paramname"><em>p</em></span></td><td>)</td>
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<div class="fragment"><div class="line"><span class="lineno"> 325</span>{</div>
<div class="line"><span class="lineno"> 326</span> <span class="keywordflow">if</span> (p-&gt;left == NULL)</div>
<div class="line"><span class="lineno"> 327</span> <span class="keywordflow">return</span>;</div>
<div class="line"><span class="lineno"> 328</span> <span class="keywordflow">else</span></div>
<div class="line"><span class="lineno"> 329</span> {</div>
<div class="line"><span class="lineno"> 330</span> <a class="code hl_class" href="../../d5/da1/structnode.html">node</a> *y = p-&gt;left;</div>
<div class="line"><span class="lineno"> 331</span> <span class="keywordflow">if</span> (y-&gt;right != NULL)</div>
<div class="line"><span class="lineno"> 332</span> {</div>
<div class="line"><span class="lineno"> 333</span> p-&gt;left = y-&gt;right;</div>
<div class="line"><span class="lineno"> 334</span> y-&gt;right-&gt;parent = p;</div>
<div class="line"><span class="lineno"> 335</span> }</div>
<div class="line"><span class="lineno"> 336</span> <span class="keywordflow">else</span></div>
<div class="line"><span class="lineno"> 337</span> p-&gt;left = NULL;</div>
<div class="line"><span class="lineno"> 338</span> <span class="keywordflow">if</span> (p-&gt;parent != NULL)</div>
<div class="line"><span class="lineno"> 339</span> y-&gt;parent = p-&gt;parent;</div>
<div class="line"><span class="lineno"> 340</span> <span class="keywordflow">if</span> (p-&gt;parent == NULL)</div>
<div class="line"><span class="lineno"> 341</span> root = y;</div>
<div class="line"><span class="lineno"> 342</span> <span class="keywordflow">else</span></div>
<div class="line"><span class="lineno"> 343</span> {</div>
<div class="line"><span class="lineno"> 344</span> <span class="keywordflow">if</span> (p == p-&gt;parent-&gt;left)</div>
<div class="line"><span class="lineno"> 345</span> p-&gt;parent-&gt;left = y;</div>
<div class="line"><span class="lineno"> 346</span> <span class="keywordflow">else</span></div>
<div class="line"><span class="lineno"> 347</span> p-&gt;parent-&gt;right = y;</div>
<div class="line"><span class="lineno"> 348</span> }</div>
<div class="line"><span class="lineno"> 349</span> y-&gt;right = p;</div>
<div class="line"><span class="lineno"> 350</span> p-&gt;parent = y;</div>
<div class="line"><span class="lineno"> 351</span> }</div>
<div class="line"><span class="lineno"> 352</span>}</div>
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<h2 class="memtitle"><span class="permalink"><a href="#acf7a8e0285ac25ad885ac92726132e80">&#9670;&#160;</a></span>search()</h2>
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<td class="memname">void RBtree::search </td>
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<td class="paramname"><span class="paramname"><em></em></span></td><td>)</td>
<td></td>
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<div class="fragment"><div class="line"><span class="lineno"> 422</span>{</div>
<div class="line"><span class="lineno"> 423</span> <span class="keywordflow">if</span> (root == NULL)</div>
<div class="line"><span class="lineno"> 424</span> {</div>
<div class="line"><span class="lineno"> 425</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> &lt;&lt; <span class="stringliteral">&quot;\nEmpty Tree\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 426</span> <span class="keywordflow">return</span>;</div>
<div class="line"><span class="lineno"> 427</span> }</div>
<div class="line"><span class="lineno"> 428</span> <span class="keywordtype">int</span> x;</div>
<div class="line"><span class="lineno"> 429</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> &lt;&lt; <span class="stringliteral">&quot;\n Enter key of the node to be searched: &quot;</span>;</div>
<div class="line"><span class="lineno"> 430</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">cin</a> &gt;&gt; x;</div>
<div class="line"><span class="lineno"> 431</span> <a class="code hl_class" href="../../d5/da1/structnode.html">node</a> *p = root;</div>
<div class="line"><span class="lineno"> 432</span> <span class="keywordtype">int</span> found = 0;</div>
<div class="line"><span class="lineno"> 433</span> <span class="keywordflow">while</span> (p != NULL &amp;&amp; found == 0)</div>
<div class="line"><span class="lineno"> 434</span> {</div>
<div class="line"><span class="lineno"> 435</span> <span class="keywordflow">if</span> (p-&gt;key == x)</div>
<div class="line"><span class="lineno"> 436</span> found = 1;</div>
<div class="line"><span class="lineno"> 437</span> <span class="keywordflow">if</span> (found == 0)</div>
<div class="line"><span class="lineno"> 438</span> {</div>
<div class="line"><span class="lineno"> 439</span> <span class="keywordflow">if</span> (p-&gt;key &lt; x)</div>
<div class="line"><span class="lineno"> 440</span> p = p-&gt;right;</div>
<div class="line"><span class="lineno"> 441</span> <span class="keywordflow">else</span></div>
<div class="line"><span class="lineno"> 442</span> p = p-&gt;left;</div>
<div class="line"><span class="lineno"> 443</span> }</div>
<div class="line"><span class="lineno"> 444</span> }</div>
<div class="line"><span class="lineno"> 445</span> <span class="keywordflow">if</span> (found == 0)</div>
<div class="line"><span class="lineno"> 446</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> &lt;&lt; <span class="stringliteral">&quot;\nElement Not Found.&quot;</span>;</div>
<div class="line"><span class="lineno"> 447</span> <span class="keywordflow">else</span></div>
<div class="line"><span class="lineno"> 448</span> {</div>
<div class="line"><span class="lineno"> 449</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> &lt;&lt; <span class="stringliteral">&quot;\n\t FOUND NODE: &quot;</span>;</div>
<div class="line"><span class="lineno"> 450</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> &lt;&lt; <span class="stringliteral">&quot;\n Key: &quot;</span> &lt;&lt; p-&gt;key;</div>
<div class="line"><span class="lineno"> 451</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> &lt;&lt; <span class="stringliteral">&quot;\n Colour: &quot;</span>;</div>
<div class="line"><span class="lineno"> 452</span> <span class="keywordflow">if</span> (p-&gt;color == <span class="charliteral">&#39;b&#39;</span>)</div>
<div class="line"><span class="lineno"> 453</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> &lt;&lt; <span class="stringliteral">&quot;Black&quot;</span>;</div>
<div class="line"><span class="lineno"> 454</span> <span class="keywordflow">else</span></div>
<div class="line"><span class="lineno"> 455</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> &lt;&lt; <span class="stringliteral">&quot;Red&quot;</span>;</div>
<div class="line"><span class="lineno"> 456</span> <span class="keywordflow">if</span> (p-&gt;parent != NULL)</div>
<div class="line"><span class="lineno"> 457</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> &lt;&lt; <span class="stringliteral">&quot;\n Parent: &quot;</span> &lt;&lt; p-&gt;parent-&gt;key;</div>
<div class="line"><span class="lineno"> 458</span> <span class="keywordflow">else</span></div>
<div class="line"><span class="lineno"> 459</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> &lt;&lt; <span class="stringliteral">&quot;\n There is no parent of the node. &quot;</span>;</div>
<div class="line"><span class="lineno"> 460</span> <span class="keywordflow">if</span> (p-&gt;right != NULL)</div>
<div class="line"><span class="lineno"> 461</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> &lt;&lt; <span class="stringliteral">&quot;\n Right Child: &quot;</span> &lt;&lt; p-&gt;right-&gt;key;</div>
<div class="line"><span class="lineno"> 462</span> <span class="keywordflow">else</span></div>
<div class="line"><span class="lineno"> 463</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> &lt;&lt; <span class="stringliteral">&quot;\n There is no right child of the node. &quot;</span>;</div>
<div class="line"><span class="lineno"> 464</span> <span class="keywordflow">if</span> (p-&gt;left != NULL)</div>
<div class="line"><span class="lineno"> 465</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> &lt;&lt; <span class="stringliteral">&quot;\n Left Child: &quot;</span> &lt;&lt; p-&gt;left-&gt;key;</div>
<div class="line"><span class="lineno"> 466</span> <span class="keywordflow">else</span></div>
<div class="line"><span class="lineno"> 467</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> &lt;&lt; <span class="stringliteral">&quot;\n There is no left child of the node. &quot;</span>;</div>
<div class="line"><span class="lineno"> 468</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">cout</a> &lt;&lt; <a class="code hl_define" href="../../d7/d35/matrix__exponentiation_8cpp.html#a600eaf353befc174637855795f12d258">endl</a>;</div>
<div class="line"><span class="lineno"> 469</span> </div>
<div class="line"><span class="lineno"> 470</span> }</div>
<div class="line"><span class="lineno"> 471</span>}</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a5b1979fe346534f63fe01358e3e0cdf8">&#9670;&#160;</a></span>successor()</h2>
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<td class="memname"><a class="el" href="../../d5/da1/structnode.html">node</a> * RBtree::successor </td>
<td>(</td>
<td class="paramtype"><a class="el" href="../../d5/da1/structnode.html">node</a> *</td> <td class="paramname"><span class="paramname"><em>p</em></span></td><td>)</td>
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<div class="fragment"><div class="line"><span class="lineno"> 355</span>{</div>
<div class="line"><span class="lineno"> 356</span> <a class="code hl_class" href="../../d5/da1/structnode.html">node</a> *y = NULL;</div>
<div class="line"><span class="lineno"> 357</span> <span class="keywordflow">if</span> (p-&gt;left != NULL)</div>
<div class="line"><span class="lineno"> 358</span> {</div>
<div class="line"><span class="lineno"> 359</span> y = p-&gt;left;</div>
<div class="line"><span class="lineno"> 360</span> <span class="keywordflow">while</span> (y-&gt;right != NULL)</div>
<div class="line"><span class="lineno"> 361</span> y = y-&gt;right;</div>
<div class="line"><span class="lineno"> 362</span> }</div>
<div class="line"><span class="lineno"> 363</span> <span class="keywordflow">else</span></div>
<div class="line"><span class="lineno"> 364</span> {</div>
<div class="line"><span class="lineno"> 365</span> y = p-&gt;right;</div>
<div class="line"><span class="lineno"> 366</span> <span class="keywordflow">while</span> (y-&gt;left != NULL)</div>
<div class="line"><span class="lineno"> 367</span> y = y-&gt;left;</div>
<div class="line"><span class="lineno"> 368</span> }</div>
<div class="line"><span class="lineno"> 369</span> <span class="keywordflow">return</span> y;</div>
<div class="line"><span class="lineno"> 370</span>}</div>
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<hr/>The documentation for this class was generated from the following file:<ul>
<li>data_structures/<b>rb_tree.cpp</b></li>
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