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int </td><td class="memItemRight" valign="bottom"><b>l</b></td></tr>
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int </td><td class="memItemRight" valign="bottom"><b>r</b></td></tr>
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int </td><td class="memItemRight" valign="bottom"><b>i</b></td></tr>
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<hr/>The documentation for this struct was generated from the following file:<ul>
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<li>range_queries/mo.cpp</li>
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<div class="title">false_position.cpp File Reference</div> </div>
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||||
<p>Solve the equation \(f(x)=0\) using <a href="https://en.wikipedia.org/wiki/Regula_falsi">false position method</a>, also known as the Secant method.
|
||||
<a href="#details">More...</a></p>
|
||||
<div class="textblock"><code>#include <cmath></code><br />
|
||||
<code>#include <cstdlib></code><br />
|
||||
<code>#include <iostream></code><br />
|
||||
<code>#include <limits></code><br />
|
||||
</div><div class="textblock"><div class="dynheader">
|
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Include dependency graph for false_position.cpp:</div>
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#define </td><td class="memItemRight" valign="bottom"><b>EPSILON</b>   1e-6</td></tr>
|
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#define </td><td class="memItemRight" valign="bottom"><a class="el" href="../../dd/d29/false__position_8cpp.html#a0a3abbca80bc98e7abcb3ae73abe0f14">MAX_ITERATIONS</a>   50000</td></tr>
|
||||
<tr class="memdesc:a0a3abbca80bc98e7abcb3ae73abe0f14"><td class="mdescLeft"> </td><td class="mdescRight">Maximum number of iterations to check. <br /></td></tr>
|
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Functions</h2></td></tr>
|
||||
<tr class="memitem:a2003b5b2dcfff0769b957ab5c968b03d"><td class="memItemLeft" align="right" valign="top">static double </td><td class="memItemRight" valign="bottom"><a class="el" href="../../dd/d29/false__position_8cpp.html#a2003b5b2dcfff0769b957ab5c968b03d">eq</a> (double i)</td></tr>
|
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<tr class="memitem:a1ab31b90bc584c635ec159468ceed9b2"><td class="memTemplParams" colspan="2">template<typename T > </td></tr>
|
||||
<tr class="memitem:a1ab31b90bc584c635ec159468ceed9b2"><td class="memTemplItemLeft" align="right" valign="top">int </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../dd/d29/false__position_8cpp.html#a1ab31b90bc584c635ec159468ceed9b2">sgn</a> (T val)</td></tr>
|
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|
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<tr class="memitem:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="../../dd/d29/false__position_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a> ()</td></tr>
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|
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</table>
|
||||
<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
|
||||
<div class="textblock"><p>Solve the equation \(f(x)=0\) using <a href="https://en.wikipedia.org/wiki/Regula_falsi">false position method</a>, also known as the Secant method. </p>
|
||||
<p>Given two points \(a\) and \(b\) such that \(f(a)<0\) and \(f(b)>0\), then the \((i+1)^\text{th}\) approximation is given by: </p><p class="formulaDsp">
|
||||
\[ x_{i+1} = \frac{a_i\cdot f(b_i) - b_i\cdot f(a_i)}{f(b_i) - f(a_i)} \]
|
||||
</p>
|
||||
<p> For the next iteration, the interval is selected as: \([a,x]\) if \(x>0\) or \([x,b]\) if \(x<0\). The Process is continued till a close enough approximation is achieved.</p>
|
||||
<dl class="section see"><dt>See also</dt><dd><a class="el" href="../../de/dd3/newton__raphson__method_8cpp.html" title="Solve the equation using Newton-Raphson method for both real and complex solutions.">newton_raphson_method.cpp</a>, <a class="el" href="../../d7/d6a/bisection__method_8cpp.html" title="Solve the equation using bisection method">bisection_method.cpp</a> </dd></dl>
|
||||
</div><h2 class="groupheader">Function Documentation</h2>
|
||||
<a id="a2003b5b2dcfff0769b957ab5c968b03d"></a>
|
||||
<h2 class="memtitle"><span class="permalink"><a href="#a2003b5b2dcfff0769b957ab5c968b03d">◆ </a></span>eq()</h2>
|
||||
|
||||
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|
||||
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|
||||
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|
||||
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|
||||
<td class="mlabels-left">
|
||||
<table class="memname">
|
||||
<tr>
|
||||
<td class="memname">static double eq </td>
|
||||
<td>(</td>
|
||||
<td class="paramtype">double </td>
|
||||
<td class="paramname"><em>i</em></td><td>)</td>
|
||||
<td></td>
|
||||
</tr>
|
||||
</table>
|
||||
</td>
|
||||
<td class="mlabels-right">
|
||||
<span class="mlabels"><span class="mlabel">static</span></span> </td>
|
||||
</tr>
|
||||
</table>
|
||||
</div><div class="memdoc">
|
||||
<p>define \(f(x)\) to find root for </p>
|
||||
<div class="fragment"><div class="line"><a name="l00028"></a><span class="lineno"> 28</span>  {</div>
|
||||
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>  <span class="keywordflow">return</span> (<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/pow.html">std::pow</a>(i, 3) - (4 * i) - 9); <span class="comment">// origial equation</span></div>
|
||||
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> }</div>
|
||||
</div><!-- fragment --><div class="dynheader">
|
||||
Here is the call graph for this function:</div>
|
||||
<div class="dyncontent">
|
||||
<div class="center"><iframe scrolling="no" frameborder="0" src="../../dd/d29/false__position_8cpp_a2003b5b2dcfff0769b957ab5c968b03d_cgraph.svg" width="170" height="38"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe>
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</div>
|
||||
</div>
|
||||
|
||||
</div>
|
||||
</div>
|
||||
<a id="ae66f6b31b5ad750f1fe042a706a4e3d4"></a>
|
||||
<h2 class="memtitle"><span class="permalink"><a href="#ae66f6b31b5ad750f1fe042a706a4e3d4">◆ </a></span>main()</h2>
|
||||
|
||||
<div class="memitem">
|
||||
<div class="memproto">
|
||||
<table class="memname">
|
||||
<tr>
|
||||
<td class="memname">int main </td>
|
||||
<td>(</td>
|
||||
<td class="paramname"></td><td>)</td>
|
||||
<td></td>
|
||||
</tr>
|
||||
</table>
|
||||
</div><div class="memdoc">
|
||||
<p>main function </p>
|
||||
<div class="fragment"><div class="line"><a name="l00039"></a><span class="lineno"> 39</span>  {</div>
|
||||
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>  <span class="keywordtype">double</span> <a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9ecd98ce0064e2f7f97bb6a92f58ee72">a</a> = -1, b = 1, x, z, m, n, c;</div>
|
||||
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  <span class="keywordtype">int</span> i;</div>
|
||||
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  </div>
|
||||
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  <span class="comment">// loop to find initial intervals a, b</span></div>
|
||||
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < <a class="code" href="../../dd/d29/false__position_8cpp.html#a0a3abbca80bc98e7abcb3ae73abe0f14">MAX_ITERATIONS</a>; i++) {</div>
|
||||
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  z = <a class="code" href="../../dd/d29/false__position_8cpp.html#a2003b5b2dcfff0769b957ab5c968b03d">eq</a>(<a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9ecd98ce0064e2f7f97bb6a92f58ee72">a</a>);</div>
|
||||
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  x = <a class="code" href="../../dd/d29/false__position_8cpp.html#a2003b5b2dcfff0769b957ab5c968b03d">eq</a>(b);</div>
|
||||
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  <span class="keywordflow">if</span> (<a class="code" href="../../dd/d29/false__position_8cpp.html#a1ab31b90bc584c635ec159468ceed9b2">sgn</a>(z) == <a class="code" href="../../dd/d29/false__position_8cpp.html#a1ab31b90bc584c635ec159468ceed9b2">sgn</a>(x)) { <span class="comment">// same signs, increase interval</span></div>
|
||||
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  b++;</div>
|
||||
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  <a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9ecd98ce0064e2f7f97bb6a92f58ee72">a</a>--;</div>
|
||||
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  } <span class="keywordflow">else</span> { <span class="comment">// if opposite signs, we got our interval</span></div>
|
||||
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  <span class="keywordflow">break</span>;</div>
|
||||
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  }</div>
|
||||
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  }</div>
|
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<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  </div>
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<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"\nFirst initial: "</span> << <a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9ecd98ce0064e2f7f97bb6a92f58ee72">a</a>;</div>
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<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"\nSecond initial: "</span> << b;</div>
|
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<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  </div>
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<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  m = <a class="code" href="../../dd/d29/false__position_8cpp.html#a2003b5b2dcfff0769b957ab5c968b03d">eq</a>(<a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9ecd98ce0064e2f7f97bb6a92f58ee72">a</a>);</div>
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<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  n = <a class="code" href="../../dd/d29/false__position_8cpp.html#a2003b5b2dcfff0769b957ab5c968b03d">eq</a>(b);</div>
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<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  </div>
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<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  c = ((<a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9ecd98ce0064e2f7f97bb6a92f58ee72">a</a> * n) - (b * m)) / (n - m);</div>
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<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  </div>
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<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  <a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9ecd98ce0064e2f7f97bb6a92f58ee72">a</a> = c;</div>
|
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<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  z = <a class="code" href="../../dd/d29/false__position_8cpp.html#a2003b5b2dcfff0769b957ab5c968b03d">eq</a>(c);</div>
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<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  </div>
|
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<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  <span class="keywordflow">if</span> (std::abs(z) < EPSILON) { <span class="comment">// stoping criteria</span></div>
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<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  <span class="keywordflow">break</span>;</div>
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<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  }</div>
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<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  }</div>
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<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  </div>
|
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<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"\n\nRoot: "</span> << c << <span class="stringliteral">"\t\tSteps: "</span> << i << <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  <span class="keywordflow">return</span> 0;</div>
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<div class="line"><a name="l00074"></a><span class="lineno"> 74</span> }</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a1ab31b90bc584c635ec159468ceed9b2">◆ </a></span>sgn()</h2>
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template<typename T > </div>
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<td class="memname">int sgn </td>
|
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<p>get the sign of any given number </p>
|
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|
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<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  <span class="keywordflow">return</span> (T(0) < val) - (val < T(0));</div>
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<div class="line"><a name="l00036"></a><span class="lineno"> 36</span> }</div>
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|
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<div class="ttc" id="apow_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/math/pow.html">std::pow</a></div><div class="ttdeci">T pow(T... args)</div></div>
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<a href="../../de/d8a/class_trie-members.html">List of all members</a> </div>
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<div class="title">Trie Class Reference</div> </div>
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||||
Collaboration diagram for Trie:</div>
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<table class="memberdecls">
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="nested-classes"></a>
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Classes</h2></td></tr>
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<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct  </td><td class="memItemRight" valign="bottom"><a class="el" href="../../de/d48/struct_trie_1_1_trie_node.html">TrieNode</a></td></tr>
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<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
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Public Member Functions</h2></td></tr>
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<tr class="memitem:a6af57e9f25d0d0a2d59eea5a4a802908"><td class="memItemLeft" align="right" valign="top"><a id="a6af57e9f25d0d0a2d59eea5a4a802908"></a>
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 </td><td class="memItemRight" valign="bottom"><a class="el" href="../../dd/d2f/class_trie.html#a6af57e9f25d0d0a2d59eea5a4a802908">Trie</a> ()</td></tr>
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||||
<tr class="memdesc:a6af57e9f25d0d0a2d59eea5a4a802908"><td class="mdescLeft"> </td><td class="mdescRight">constructor to initialise the root of the trie. <br /></td></tr>
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<tr class="separator:a6af57e9f25d0d0a2d59eea5a4a802908"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:afd8b79959009b554e98ea7128b2886f2"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="../../dd/d2f/class_trie.html#afd8b79959009b554e98ea7128b2886f2">insert</a> (const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> &word)</td></tr>
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<tr class="separator:afd8b79959009b554e98ea7128b2886f2"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a411e77126930a0942dd7b65e96b15206"><td class="memItemLeft" align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="../../dd/d2f/class_trie.html#a411e77126930a0942dd7b65e96b15206">search</a> (const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> &word)</td></tr>
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void </td><td class="memItemRight" valign="bottom"><b>removeWord</b> (const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> &word)</td></tr>
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<tr class="separator:a734a08b52b8ad73bdd1f36ae8348056e"><td class="memSeparator" colspan="2"> </td></tr>
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</table><table class="memberdecls">
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pri-methods"></a>
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Private Member Functions</h2></td></tr>
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<tr class="memitem:a95216ffc56cb9f8cede982cecb872af4"><td class="memItemLeft" align="right" valign="top"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/memory/shared_ptr.html">std::shared_ptr</a>< <a class="el" href="../../de/d48/struct_trie_1_1_trie_node.html">TrieNode</a> > </td><td class="memItemRight" valign="bottom"><a class="el" href="../../dd/d2f/class_trie.html#a95216ffc56cb9f8cede982cecb872af4">removeWordHelper</a> (const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> &word, <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/memory/shared_ptr.html">std::shared_ptr</a>< <a class="el" href="../../de/d48/struct_trie_1_1_trie_node.html">TrieNode</a> > curr, size_t index)</td></tr>
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</table><table class="memberdecls">
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pri-static-methods"></a>
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Static Private Member Functions</h2></td></tr>
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<tr class="memitem:a6d10eb1669453395d1900ebd401954fb"><td class="memItemLeft" align="right" valign="top">static bool </td><td class="memItemRight" valign="bottom"><a class="el" href="../../dd/d2f/class_trie.html#a6d10eb1669453395d1900ebd401954fb">hasChildren</a> (<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/memory/shared_ptr.html">std::shared_ptr</a>< <a class="el" href="../../de/d48/struct_trie_1_1_trie_node.html">TrieNode</a> > <a class="el" href="../../d5/da1/structnode.html">node</a>)</td></tr>
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</table><table class="memberdecls">
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pri-attribs"></a>
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Private Attributes</h2></td></tr>
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<tr class="memitem:a58b359fad33ca0064bd75a0d41a7b66d"><td class="memItemLeft" align="right" valign="top"><a id="a58b359fad33ca0064bd75a0d41a7b66d"></a>
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<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/memory/shared_ptr.html">std::shared_ptr</a>< <a class="el" href="../../de/d48/struct_trie_1_1_trie_node.html">TrieNode</a> > </td><td class="memItemRight" valign="bottom"><b>m_root</b></td></tr>
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<tr class="separator:a58b359fad33ca0064bd75a0d41a7b66d"><td class="memSeparator" colspan="2"> </td></tr>
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</table><table class="memberdecls">
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pri-static-attribs"></a>
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Static Private Attributes</h2></td></tr>
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<tr class="memitem:a7c3ba4caf24378826a789848629177bd"><td class="memItemLeft" align="right" valign="top"><a id="a7c3ba4caf24378826a789848629177bd"></a>
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static constexpr size_t </td><td class="memItemRight" valign="bottom"><b>ALPHABETS</b> = 26</td></tr>
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</table>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
|
||||
<div class="textblock"><p>A basic implementation of trie class to store only lower-case strings. You can extend the implementation to all the ASCII characters by changing the value of @ ALPHABETS to 128. </p>
|
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</div><h2 class="groupheader">Member Function Documentation</h2>
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<a id="a6d10eb1669453395d1900ebd401954fb"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#a6d10eb1669453395d1900ebd401954fb">◆ </a></span>hasChildren()</h2>
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<td class="memname">static bool Trie::hasChildren </td>
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<td>(</td>
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<td class="paramtype"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/memory/shared_ptr.html">std::shared_ptr</a>< <a class="el" href="../../de/d48/struct_trie_1_1_trie_node.html">TrieNode</a> > </td>
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<td class="paramname"><em>node</em></td><td>)</td>
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<td></td>
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</tr>
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<td class="mlabels-right">
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<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">static</span><span class="mlabel">private</span></span> </td>
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</div><div class="memdoc">
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<p>Function to check if a node has some children which can form words. </p><dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramname">node</td><td>whose character array of pointers need to be checked for children. </td></tr>
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</table>
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</dd>
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</dl>
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<dl class="section return"><dt>Returns</dt><dd><code>true</code> if a child is found </dd>
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||||
<dd>
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<code>false</code> if a child is not found </dd></dl>
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<div class="fragment"><div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  {</div>
|
||||
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i < ALPHABETS; i++) {</div>
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<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  <span class="keywordflow">if</span> (<a class="code" href="../../d5/da1/structnode.html">node</a>->character[i]) {</div>
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||||
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
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<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  }</div>
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||||
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  }</div>
|
||||
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
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<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  }</div>
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</div><!-- fragment -->
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<a id="afd8b79959009b554e98ea7128b2886f2"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#afd8b79959009b554e98ea7128b2886f2">◆ </a></span>insert()</h2>
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<td class="memname">void Trie::insert </td>
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<td>(</td>
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||||
<td class="paramtype">const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> & </td>
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||||
<td class="paramname"><em>word</em></td><td>)</td>
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<td></td>
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||||
</tr>
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</table>
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</td>
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||||
<td class="mlabels-right">
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<span class="mlabels"><span class="mlabel">inline</span></span> </td>
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||||
</tr>
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</table>
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</div><div class="memdoc">
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<p>Insert a word into the trie. </p><dl class="params"><dt>Parameters</dt><dd>
|
||||
<table class="params">
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||||
<tr><td class="paramname">word</td><td>which needs to be inserted into the string. </td></tr>
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||||
</table>
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||||
</dd>
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||||
</dl>
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||||
<div class="fragment"><div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  {</div>
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||||
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  <span class="keyword">auto</span> curr = m_root;</div>
|
||||
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  <span class="keywordflow">for</span> (<span class="keywordtype">char</span> ch : word) {</div>
|
||||
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  <span class="keywordtype">size_t</span> index = ch - <span class="charliteral">'a'</span>;</div>
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<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  </div>
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<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  <span class="comment">// if a node for current word is not already present in trie, create</span></div>
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<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  <span class="comment">// a new node for it.</span></div>
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<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  <span class="keywordflow">if</span> (!curr->character[index]) {</div>
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<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  curr->character[index] = std::make_shared<TrieNode>();</div>
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<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  }</div>
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<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  </div>
|
||||
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  curr = curr->character[index];</div>
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||||
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  }</div>
|
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<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  curr->isEndOfWord = <span class="keyword">true</span>;</div>
|
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<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  }</div>
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</div><!-- fragment -->
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</div>
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<a id="a95216ffc56cb9f8cede982cecb872af4"></a>
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||||
<h2 class="memtitle"><span class="permalink"><a href="#a95216ffc56cb9f8cede982cecb872af4">◆ </a></span>removeWordHelper()</h2>
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<td class="memname"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/memory/shared_ptr.html">std::shared_ptr</a><<a class="el" href="../../de/d48/struct_trie_1_1_trie_node.html">TrieNode</a>> Trie::removeWordHelper </td>
|
||||
<td>(</td>
|
||||
<td class="paramtype">const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> & </td>
|
||||
<td class="paramname"><em>word</em>, </td>
|
||||
</tr>
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||||
<tr>
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||||
<td class="paramkey"></td>
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||||
<td></td>
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||||
<td class="paramtype"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/memory/shared_ptr.html">std::shared_ptr</a>< <a class="el" href="../../de/d48/struct_trie_1_1_trie_node.html">TrieNode</a> > </td>
|
||||
<td class="paramname"><em>curr</em>, </td>
|
||||
</tr>
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||||
<tr>
|
||||
<td class="paramkey"></td>
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||||
<td></td>
|
||||
<td class="paramtype">size_t </td>
|
||||
<td class="paramname"><em>index</em> </td>
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||||
</tr>
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||||
<tr>
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||||
<td></td>
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||||
<td>)</td>
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<td></td><td></td>
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</td>
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||||
<td class="mlabels-right">
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||||
<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">private</span></span> </td>
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||||
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||||
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||||
</div><div class="memdoc">
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||||
<p>A recursive helper function to remove a word from the trie. First, it recursively traverses to the location of last character of word in the trie. However, if the word is not found, the function returns a runtime error. Upon successfully reaching the last character of word in trie, if sets the isEndOfWord to false and deletes the node if and only if it has no children, else it returns the current node. </p><dl class="params"><dt>Parameters</dt><dd>
|
||||
<table class="params">
|
||||
<tr><td class="paramname">word</td><td>is the string which needs to be removed from trie. </td></tr>
|
||||
<tr><td class="paramname">curr</td><td>is the current node we are at. </td></tr>
|
||||
<tr><td class="paramname">index</td><td>is the index of the @word we are at. </td></tr>
|
||||
</table>
|
||||
</dd>
|
||||
</dl>
|
||||
<dl class="section return"><dt>Returns</dt><dd>if current node has childern, it returns @ curr, else it returns nullptr. </dd></dl>
|
||||
<dl class="exception"><dt>Exceptions</dt><dd>
|
||||
<table class="exception">
|
||||
<tr><td class="paramname">a</td><td>runtime error in case @ word is not found in the trie. </td></tr>
|
||||
</table>
|
||||
</dd>
|
||||
</dl>
|
||||
<div class="fragment"><div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  {</div>
|
||||
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  <span class="keywordflow">if</span> (word.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string/size.html">size</a>() == index) {</div>
|
||||
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  <span class="keywordflow">if</span> (curr->isEndOfWord) {</div>
|
||||
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  curr->isEndOfWord = <span class="keyword">false</span>;</div>
|
||||
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  }</div>
|
||||
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  <span class="keywordflow">if</span> (<a class="code" href="../../dd/d2f/class_trie.html#a6d10eb1669453395d1900ebd401954fb">hasChildren</a>(curr)) {</div>
|
||||
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  <span class="keywordflow">return</span> curr;</div>
|
||||
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  }</div>
|
||||
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  <span class="keywordflow">return</span> <span class="keyword">nullptr</span>;</div>
|
||||
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  }</div>
|
||||
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  </div>
|
||||
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  <span class="keywordtype">size_t</span> idx = word[index] - <span class="charliteral">'a'</span>;</div>
|
||||
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  </div>
|
||||
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  <span class="comment">// Throw a runtime error in case the user enters a word which is not</span></div>
|
||||
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  <span class="comment">// present in the trie.</span></div>
|
||||
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  <span class="keywordflow">if</span> (!curr->character[idx]) {</div>
|
||||
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  <span class="keywordflow">throw</span> <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/error/runtime_error.html">std::runtime_error</a>(<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/utility/move.html">std::move</a>(<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a>(<span class="stringliteral">"Word not found."</span>)));</div>
|
||||
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  }</div>
|
||||
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  </div>
|
||||
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  curr->character[idx] =</div>
|
||||
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  <a class="code" href="../../dd/d2f/class_trie.html#a95216ffc56cb9f8cede982cecb872af4">removeWordHelper</a>(word, curr->character[idx], index + 1);</div>
|
||||
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  </div>
|
||||
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  <span class="comment">// This if condition checks if the node has some childern.</span></div>
|
||||
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  <span class="comment">// The 1st if check, i.e. (curr->character[idx]) is checked specifically</span></div>
|
||||
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  <span class="comment">// because if the older string is a prefix of some other string, then,</span></div>
|
||||
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  <span class="comment">// there would be no need to check all 26 characters. Example- str1 =</span></div>
|
||||
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  <span class="comment">// abbey, str2 = abbex and we want to delete string "abbey", then in</span></div>
|
||||
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  <span class="comment">// this case, there would be no need to check all characters for the</span></div>
|
||||
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  <span class="comment">// chars a,b,b.</span></div>
|
||||
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  <span class="keywordflow">if</span> (curr->character[idx] || <a class="code" href="../../dd/d2f/class_trie.html#a6d10eb1669453395d1900ebd401954fb">hasChildren</a>(curr)) {</div>
|
||||
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  <span class="keywordflow">return</span> curr;</div>
|
||||
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  }</div>
|
||||
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  <span class="keywordflow">return</span> <span class="keyword">nullptr</span>;</div>
|
||||
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  }</div>
|
||||
</div><!-- fragment --><div class="dynheader">
|
||||
Here is the call graph for this function:</div>
|
||||
<div class="dyncontent">
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<a id="a411e77126930a0942dd7b65e96b15206"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#a411e77126930a0942dd7b65e96b15206">◆ </a></span>search()</h2>
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<td>(</td>
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<td class="paramtype">const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> & </td>
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<td class="paramname"><em>word</em></td><td>)</td>
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|
||||
<p>Search if a word is present in trie or not. </p><dl class="params"><dt>Parameters</dt><dd>
|
||||
<table class="params">
|
||||
<tr><td class="paramname">word</td><td>which is needed to be searched in the trie. </td></tr>
|
||||
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|
||||
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|
||||
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|
||||
<dl class="section return"><dt>Returns</dt><dd>True if the word is found in trie and isEndOfWord is set to true. </dd>
|
||||
<dd>
|
||||
False if word is not found in trie or isEndOfWord is set to false. </dd></dl>
|
||||
<div class="fragment"><div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  {</div>
|
||||
<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  <span class="keyword">auto</span> curr = m_root;</div>
|
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<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  <span class="keywordflow">for</span> (<span class="keywordtype">char</span> ch : word) {</div>
|
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<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  <span class="keywordtype">size_t</span> index = ch - <span class="charliteral">'a'</span>;</div>
|
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<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  </div>
|
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<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  <span class="comment">// if any node for a character is not found, then return that the</span></div>
|
||||
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  <span class="comment">// word cannot be formed.</span></div>
|
||||
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  <span class="keywordflow">if</span> (!curr->character[index]) {</div>
|
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<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
|
||||
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  }</div>
|
||||
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  curr = curr->character[index];</div>
|
||||
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  }</div>
|
||||
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  <span class="keywordflow">return</span> curr->isEndOfWord;</div>
|
||||
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  }</div>
|
||||
</div><!-- fragment -->
|
||||
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<hr/>The documentation for this class was generated from the following file:<ul>
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<li>data_structures/<a class="el" href="../../dc/d93/trie__modern_8cpp.html">trie_modern.cpp</a></li>
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<hr/>The documentation for this struct was generated from the following files:<ul>
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<li>hashing/linear_probing_hash_table.cpp</li>
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<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">vector</a>< int > > </td><td class="memItemRight" valign="bottom"><b>search_bridges</b> (int n, const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">vector</a>< int >> &connections)</td></tr>
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void </td><td class="memItemRight" valign="bottom"><b>dfs</b> (int current_node, int parent)</td></tr>
|
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<tr class="separator:a29d19d87d54fe43d3f22221b8fe1b0bc"><td class="memSeparator" colspan="2"> </td></tr>
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<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">vector</a>< int > > </td><td class="memItemRight" valign="bottom"><b>graph</b></td></tr>
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<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">vector</a>< int > </td><td class="memItemRight" valign="bottom"><b>in_time</b></td></tr>
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<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">vector</a>< int > </td><td class="memItemRight" valign="bottom"><b>out_time</b></td></tr>
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<p><a href="https://en.wikipedia.org/wiki/LU_decompositon">LU decomposition</a> of a square matrix
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Functions</h2></td></tr>
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<tr class="memitem:af703fd0afe349e567d7a82350e03cace"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="../../dd/d65/lu__decompose_8cpp.html#af703fd0afe349e567d7a82350e03cace">lu_decomposition</a> (const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< double >> &A, <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< double >> *L, <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< double >> *U)</td></tr>
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<tr class="memitem:a98eb5807f21b783c341cab402ced6732"><td class="memTemplParams" colspan="2">template<typename T > </td></tr>
|
||||
<tr class="memitem:a98eb5807f21b783c341cab402ced6732"><td class="memTemplItemLeft" align="right" valign="top"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::ostream</a> & </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../dd/d65/lu__decompose_8cpp.html#a98eb5807f21b783c341cab402ced6732">operator<<</a> (<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::ostream</a> &out, <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< T >> const &v)</td></tr>
|
||||
<tr class="separator:a98eb5807f21b783c341cab402ced6732"><td class="memSeparator" colspan="2"> </td></tr>
|
||||
<tr class="memitem:a3c04138a5bfe5d72780bb7e82a18e627"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="../../dd/d65/lu__decompose_8cpp.html#a3c04138a5bfe5d72780bb7e82a18e627">main</a> (int argc, char **argv)</td></tr>
|
||||
<tr class="separator:a3c04138a5bfe5d72780bb7e82a18e627"><td class="memSeparator" colspan="2"> </td></tr>
|
||||
</table>
|
||||
<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
|
||||
<div class="textblock"><p><a href="https://en.wikipedia.org/wiki/LU_decompositon">LU decomposition</a> of a square matrix </p>
|
||||
<dl class="section author"><dt>Author</dt><dd><a href="https://github.com/kvedala">Krishna Vedala</a> </dd></dl>
|
||||
</div><h2 class="groupheader">Function Documentation</h2>
|
||||
<a id="af703fd0afe349e567d7a82350e03cace"></a>
|
||||
<h2 class="memtitle"><span class="permalink"><a href="#af703fd0afe349e567d7a82350e03cace">◆ </a></span>lu_decomposition()</h2>
|
||||
|
||||
<div class="memitem">
|
||||
<div class="memproto">
|
||||
<table class="memname">
|
||||
<tr>
|
||||
<td class="memname">int lu_decomposition </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>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< double >> & </td>
|
||||
<td class="paramname"><em>A</em>, </td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td class="paramkey"></td>
|
||||
<td></td>
|
||||
<td class="paramtype"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< double >> * </td>
|
||||
<td class="paramname"><em>L</em>, </td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td class="paramkey"></td>
|
||||
<td></td>
|
||||
<td class="paramtype"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< double >> * </td>
|
||||
<td class="paramname"><em>U</em> </td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td></td>
|
||||
<td>)</td>
|
||||
<td></td><td></td>
|
||||
</tr>
|
||||
</table>
|
||||
</div><div class="memdoc">
|
||||
<p>Perform LU decomposition on matrix </p><dl class="params"><dt>Parameters</dt><dd>
|
||||
<table class="params">
|
||||
<tr><td class="paramdir">[in]</td><td class="paramname">A</td><td>matrix to decompose </td></tr>
|
||||
<tr><td class="paramdir">[out]</td><td class="paramname">L</td><td>output L matrix </td></tr>
|
||||
<tr><td class="paramdir">[out]</td><td class="paramname">U</td><td>output U matrix </td></tr>
|
||||
</table>
|
||||
</dd>
|
||||
</dl>
|
||||
<dl class="section return"><dt>Returns</dt><dd>0 if no errors </dd>
|
||||
<dd>
|
||||
negative if error occurred </dd></dl>
|
||||
<div class="fragment"><div class="line"><a name="l00024"></a><span class="lineno"> 24</span>  {</div>
|
||||
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span>  <span class="keywordtype">int</span> row, col, j;</div>
|
||||
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span>  <span class="keywordtype">int</span> mat_size = A.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>();</div>
|
||||
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>  </div>
|
||||
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>  <span class="keywordflow">if</span> (mat_size != A[0].size()) {</div>
|
||||
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>  <span class="comment">// check matrix is a square matrix</span></div>
|
||||
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cerr</a> << <span class="stringliteral">"Not a square matrix!\n"</span>;</div>
|
||||
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  <span class="keywordflow">return</span> -1;</div>
|
||||
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>  }</div>
|
||||
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>  </div>
|
||||
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  <span class="comment">// regularize each row</span></div>
|
||||
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  <span class="keywordflow">for</span> (row = 0; row < mat_size; row++) {</div>
|
||||
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  <span class="comment">// Upper triangular matrix</span></div>
|
||||
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span> <span class="preprocessor">#ifdef _OPENMP</span></div>
|
||||
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span> <span class="preprocessor">#pragma omp for</span></div>
|
||||
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span> <span class="preprocessor">#endif</span></div>
|
||||
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>  <span class="keywordflow">for</span> (col = row; col < mat_size; col++) {</div>
|
||||
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  <span class="comment">// Summation of L[i,j] * U[j,k]</span></div>
|
||||
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  <span class="keywordtype">double</span> lu_sum = 0.;</div>
|
||||
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  <span class="keywordflow">for</span> (j = 0; j < row; j++) lu_sum += L[0][row][j] * U[0][j][col];</div>
|
||||
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  </div>
|
||||
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  <span class="comment">// Evaluate U[i,k]</span></div>
|
||||
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  U[0][row][col] = A[row][col] - lu_sum;</div>
|
||||
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  }</div>
|
||||
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  </div>
|
||||
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  <span class="comment">// Lower triangular matrix</span></div>
|
||||
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span> <span class="preprocessor">#ifdef _OPENMP</span></div>
|
||||
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span> <span class="preprocessor">#pragma omp for</span></div>
|
||||
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span> <span class="preprocessor">#endif</span></div>
|
||||
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  <span class="keywordflow">for</span> (col = row; col < mat_size; col++) {</div>
|
||||
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  <span class="keywordflow">if</span> (row == col) {</div>
|
||||
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  L[0][row][col] = 1.;</div>
|
||||
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  <span class="keywordflow">continue</span>;</div>
|
||||
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  }</div>
|
||||
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  </div>
|
||||
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  <span class="comment">// Summation of L[i,j] * U[j,k]</span></div>
|
||||
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  <span class="keywordtype">double</span> lu_sum = 0.;</div>
|
||||
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  <span class="keywordflow">for</span> (j = 0; j < row; j++) lu_sum += L[0][col][j] * U[0][j][row];</div>
|
||||
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  </div>
|
||||
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  <span class="comment">// Evaluate U[i,k]</span></div>
|
||||
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  L[0][col][row] = (A[col][row] - lu_sum) / U[0][row][row];</div>
|
||||
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  }</div>
|
||||
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  }</div>
|
||||
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  </div>
|
||||
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  <span class="keywordflow">return</span> 0;</div>
|
||||
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span> }</div>
|
||||
</div><!-- fragment -->
|
||||
</div>
|
||||
</div>
|
||||
<a id="a3c04138a5bfe5d72780bb7e82a18e627"></a>
|
||||
<h2 class="memtitle"><span class="permalink"><a href="#a3c04138a5bfe5d72780bb7e82a18e627">◆ </a></span>main()</h2>
|
||||
|
||||
<div class="memitem">
|
||||
<div class="memproto">
|
||||
<table class="memname">
|
||||
<tr>
|
||||
<td class="memname">int main </td>
|
||||
<td>(</td>
|
||||
<td class="paramtype">int </td>
|
||||
<td class="paramname"><em>argc</em>, </td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td class="paramkey"></td>
|
||||
<td></td>
|
||||
<td class="paramtype">char ** </td>
|
||||
<td class="paramname"><em>argv</em> </td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td></td>
|
||||
<td>)</td>
|
||||
<td></td><td></td>
|
||||
</tr>
|
||||
</table>
|
||||
</div><div class="memdoc">
|
||||
<p>Main function </p>
|
||||
<div class="fragment"><div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  {</div>
|
||||
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  <span class="keywordtype">int</span> mat_size = 3; <span class="comment">// default matrix size</span></div>
|
||||
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> range = 50;</div>
|
||||
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> range2 = range >> 1;</div>
|
||||
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  </div>
|
||||
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  <span class="keywordflow">if</span> (argc == 2)</div>
|
||||
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  mat_size = <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/byte/atoi.html">atoi</a>(argv[1]);</div>
|
||||
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  </div>
|
||||
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/random/srand.html">std::srand</a>(<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/chrono/c/time.html">std::time</a>(NULL)); <span class="comment">// random number initializer</span></div>
|
||||
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  </div>
|
||||
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  <span class="comment">/* Create a square matrix with random values */</span></div>
|
||||
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<std::vector<double></a>> A(mat_size);</div>
|
||||
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<std::vector<double></a>> L(mat_size); <span class="comment">// output</span></div>
|
||||
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<std::vector<double></a>> U(mat_size); <span class="comment">// output</span></div>
|
||||
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < mat_size; i++) {</div>
|
||||
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  <span class="comment">// calloc so that all valeus are '0' by default</span></div>
|
||||
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  A[i] = <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<double></a>(mat_size);</div>
|
||||
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  L[i] = <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<double></a>(mat_size);</div>
|
||||
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  U[i] = <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<double></a>(mat_size);</div>
|
||||
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j < mat_size; j++)</div>
|
||||
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  <span class="comment">/* create random values in the limits [-range2, range-1] */</span></div>
|
||||
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  A[i][j] = <span class="keyword">static_cast<</span><span class="keywordtype">double</span><span class="keyword">></span>(<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/random/rand.html">std::rand</a>() % range - range2);</div>
|
||||
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  }</div>
|
||||
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  </div>
|
||||
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/chrono/c/clock_t.html">std::clock_t</a> start_t = <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/chrono/c/clock.html">std::clock</a>();</div>
|
||||
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  <a class="code" href="../../dd/d65/lu__decompose_8cpp.html#af703fd0afe349e567d7a82350e03cace">lu_decomposition</a>(A, &L, &U);</div>
|
||||
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/chrono/c/clock_t.html">std::clock_t</a> end_t = <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/chrono/c/clock.html">std::clock</a>();</div>
|
||||
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"Time taken: "</span></div>
|
||||
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  << <span class="keyword">static_cast<</span><span class="keywordtype">double</span><span class="keyword">></span>(end_t - start_t) / CLOCKS_PER_SEC << <span class="stringliteral">"\n"</span>;</div>
|
||||
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  </div>
|
||||
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"A = \n"</span> << A << <span class="stringliteral">"\n"</span>;</div>
|
||||
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"L = \n"</span> << L << <span class="stringliteral">"\n"</span>;</div>
|
||||
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"U = \n"</span> << U << <span class="stringliteral">"\n"</span>;</div>
|
||||
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  </div>
|
||||
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  <span class="keywordflow">return</span> 0;</div>
|
||||
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span> }</div>
|
||||
</div><!-- fragment --><div class="dynheader">
|
||||
Here is the call graph for this function:</div>
|
||||
<div class="dyncontent">
|
||||
<div class="center"><iframe scrolling="no" frameborder="0" src="../../dd/d65/lu__decompose_8cpp_a3c04138a5bfe5d72780bb7e82a18e627_cgraph.svg" width="232" height="240"><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>
|
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</div>
|
||||
|
||||
</div>
|
||||
</div>
|
||||
<a id="a98eb5807f21b783c341cab402ced6732"></a>
|
||||
<h2 class="memtitle"><span class="permalink"><a href="#a98eb5807f21b783c341cab402ced6732">◆ </a></span>operator<<()</h2>
|
||||
|
||||
<div class="memitem">
|
||||
<div class="memproto">
|
||||
<div class="memtemplate">
|
||||
template<typename T > </div>
|
||||
<table class="memname">
|
||||
<tr>
|
||||
<td class="memname"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::ostream</a>& operator<< </td>
|
||||
<td>(</td>
|
||||
<td class="paramtype"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::ostream</a> & </td>
|
||||
<td class="paramname"><em>out</em>, </td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td class="paramkey"></td>
|
||||
<td></td>
|
||||
<td class="paramtype"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< T >> const & </td>
|
||||
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 </td><td class="memItemRight" valign="bottom"><b>graph</b> (int n)</td></tr>
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int </td><td class="memItemRight" valign="bottom"><b>getConnectedComponents</b> ()</td></tr>
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int </td><td class="memItemRight" valign="bottom"><b>v</b></td></tr>
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|
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<div class="contents">
|
||||
<div class="textblock"><dl class="reflist">
|
||||
<dt>File <a class="el" href="../../d8/dee/avltree_8cpp.html">avltree.cpp</a> </dt>
|
||||
<dd><a class="anchor" id="_todo000001"></a>update code to use C++ STL library features and OO structure </dd>
|
||||
<dt>File <a class="el" href="../../d3/d26/binary__search__tree_8cpp.html">binary_search_tree.cpp</a> </dt>
|
||||
<dd><a class="anchor" id="_todo000002"></a>update code to use C++ STL library features and OO structure </dd>
|
||||
<dt>Member <a class="el" href="../../d7/d35/matrix__exponentiation_8cpp.html#afcf0d19607cd0edd8ae333d2b9c220c0">k</a> </dt>
|
||||
<dd><a class="anchor" id="_todo000003"></a>@stepfencurryxiao add documetnation </dd>
|
||||
<dt>Member <a class="el" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9ecd98ce0064e2f7f97bb6a92f58ee72">a</a> </dt>
|
||||
<dd><a class="anchor" id="_todo000004"></a>@stepfencurryxiao add documetnation </dd>
|
||||
<dt>File <a class="el" href="../../dc/dc5/paranthesis__matching_8cpp.html">paranthesis_matching.cpp</a> </dt>
|
||||
<dd><a class="anchor" id="_todo000005"></a>implement as a C++ class </dd>
|
||||
<dt>Member <a class="el" href="../../d0/d01/smallest__circle_8cpp.html#a6d0455dd5c30adda100e95f0423c786e">test3</a> ()</dt>
|
||||
<dd><a class="anchor" id="_todo000006"></a>This test fails </dd>
|
||||
<dt>File <a class="el" href="../../d1/df3/hash__search_8cpp.html">hash_search.cpp</a> </dt>
|
||||
<dd><a class="anchor" id="_todo000007"></a>fix the program for memory leaks and better structure in C++ and not C fashion </dd>
|
||||
<dt>Member <a class="el" href="../../d1/df3/hash__search_8cpp.html#ad0831425f1389166a9518f422d0c6ec5">create_list</a> (int key)</dt>
|
||||
<dd><a class="anchor" id="_todo000008"></a>fix memory leak </dd>
|
||||
<dt>Member <a class="el" href="../../d9/d69/median__search_8cpp.html#a3a66390d0e407dce4fcbf63a169c6c8f">comp</a> (X x, std::vector< int > *s1, std::vector< int > *s2, std::vector< int > *s3)</dt>
|
||||
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 </td><td class="memItemRight" valign="bottom"><b>lca</b> (int n_)</td></tr>
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void </td><td class="memItemRight" valign="bottom"><b>verify</b> ()</td></tr>
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<tr class="separator:ae4feede657d048b9ffa9e375d1c1f2f8"><td class="memSeparator" colspan="2"> </td></tr>
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void </td><td class="memItemRight" valign="bottom"><b>build</b> ()</td></tr>
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void </td><td class="memItemRight" valign="bottom"><b>dfs</b> (int <a class="el" href="../../d5/da1/structnode.html">node</a>, int par)</td></tr>
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int </td><td class="memItemRight" valign="bottom"><b>query</b> (int u, int v)</td></tr>
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int </td><td class="memItemRight" valign="bottom"><b>n</b></td></tr>
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<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">vector</a>< int > </td><td class="memItemRight" valign="bottom"><b>adj</b> [N]</td></tr>
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int </td><td class="memItemRight" valign="bottom"><b>up</b> [LG][N]</td></tr>
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int </td><td class="memItemRight" valign="bottom"><b>level</b> [N]</td></tr>
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<hr/>The documentation for this struct was generated from the following file:<ul>
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