mirror of
https://github.com/TheAlgorithms/C-Plus-Plus.git
synced 2026-03-21 04:18:34 +08:00
461 lines
33 KiB
HTML
461 lines
33 KiB
HTML
<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "https://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
|
|
<html xmlns="http://www.w3.org/1999/xhtml">
|
|
<head>
|
|
<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
|
|
<meta http-equiv="X-UA-Compatible" content="IE=9"/>
|
|
<meta name="generator" content="Doxygen 1.8.19"/>
|
|
<meta name="viewport" content="width=device-width, initial-scale=1"/>
|
|
<title>Algorithms_in_C++: search/ternary_search.cpp File Reference</title>
|
|
<link href="../../tabs.css" rel="stylesheet" type="text/css"/>
|
|
<script type="text/javascript" src="../../jquery.js"></script>
|
|
<script type="text/javascript" src="../../dynsections.js"></script>
|
|
<link href="../../navtree.css" rel="stylesheet" type="text/css"/>
|
|
<script type="text/javascript" src="../../resize.js"></script>
|
|
<script type="text/javascript" src="../../navtreedata.js"></script>
|
|
<script type="text/javascript" src="../../navtree.js"></script>
|
|
<link href="../../search/search.css" rel="stylesheet" type="text/css"/>
|
|
<script type="text/javascript" src="../../search/searchdata.js"></script>
|
|
<script type="text/javascript" src="../../search/search.js"></script>
|
|
<script type="text/x-mathjax-config">
|
|
MathJax.Hub.Config({
|
|
extensions: ["tex2jax.js", "TeX/AMSmath.js", "TeX/AMSsymbols.js"],
|
|
jax: ["input/TeX","output/HTML-CSS"],
|
|
});
|
|
</script>
|
|
<script type="text/javascript" async="async" src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.7/MathJax.js?config=TeX-MML-AM_CHTML/MathJax.js"></script>
|
|
<link href="../../doxygen.css" rel="stylesheet" type="text/css" />
|
|
</head>
|
|
<body>
|
|
<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
|
|
<div id="titlearea">
|
|
<table cellspacing="0" cellpadding="0">
|
|
<tbody>
|
|
<tr style="height: 56px;">
|
|
<td id="projectalign" style="padding-left: 0.5em;">
|
|
<div id="projectname">Algorithms_in_C++
|
|
 <span id="projectnumber">1.0.0</span>
|
|
</div>
|
|
<div id="projectbrief">Set of algorithms implemented in C++.</div>
|
|
</td>
|
|
</tr>
|
|
</tbody>
|
|
</table>
|
|
</div>
|
|
<!-- end header part -->
|
|
<!-- Generated by Doxygen 1.8.19 -->
|
|
<script type="text/javascript">
|
|
/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&dn=gpl-2.0.txt GPL-v2 */
|
|
var searchBox = new SearchBox("searchBox", "../../search",false,'Search');
|
|
/* @license-end */
|
|
</script>
|
|
<script type="text/javascript" src="../../menudata.js"></script>
|
|
<script type="text/javascript" src="../../menu.js"></script>
|
|
<script type="text/javascript">
|
|
/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&dn=gpl-2.0.txt GPL-v2 */
|
|
$(function() {
|
|
initMenu('../../',true,false,'search.php','Search');
|
|
$(document).ready(function() { init_search(); });
|
|
});
|
|
/* @license-end */</script>
|
|
<div id="main-nav"></div>
|
|
</div><!-- top -->
|
|
<div id="side-nav" class="ui-resizable side-nav-resizable">
|
|
<div id="nav-tree">
|
|
<div id="nav-tree-contents">
|
|
<div id="nav-sync" class="sync"></div>
|
|
</div>
|
|
</div>
|
|
<div id="splitbar" style="-moz-user-select:none;"
|
|
class="ui-resizable-handle">
|
|
</div>
|
|
</div>
|
|
<script type="text/javascript">
|
|
/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&dn=gpl-2.0.txt GPL-v2 */
|
|
$(document).ready(function(){initNavTree('dc/dfe/ternary__search_8cpp.html','../../'); initResizable(); });
|
|
/* @license-end */
|
|
</script>
|
|
<div id="doc-content">
|
|
<!-- window showing the filter options -->
|
|
<div id="MSearchSelectWindow"
|
|
onmouseover="return searchBox.OnSearchSelectShow()"
|
|
onmouseout="return searchBox.OnSearchSelectHide()"
|
|
onkeydown="return searchBox.OnSearchSelectKey(event)">
|
|
</div>
|
|
|
|
<!-- iframe showing the search results (closed by default) -->
|
|
<div id="MSearchResultsWindow">
|
|
<iframe src="javascript:void(0)" frameborder="0"
|
|
name="MSearchResults" id="MSearchResults">
|
|
</iframe>
|
|
</div>
|
|
|
|
<div class="header">
|
|
<div class="summary">
|
|
<a href="#define-members">Macros</a> |
|
|
<a href="#func-members">Functions</a> </div>
|
|
<div class="headertitle">
|
|
<div class="title">ternary_search.cpp File Reference</div> </div>
|
|
</div><!--header-->
|
|
<div class="contents">
|
|
|
|
<p><a href="https://en.wikipedia.org/wiki/Ternary_search">Ternary search</a> algorithm
|
|
<a href="#details">More...</a></p>
|
|
<div class="textblock"><code>#include <iostream></code><br />
|
|
</div><div class="textblock"><div class="dynheader">
|
|
Include dependency graph for ternary_search.cpp:</div>
|
|
<div class="dyncontent">
|
|
<div class="center"><iframe scrolling="no" frameborder="0" src="../../d1/d06/ternary__search_8cpp__incl.svg" width="187" height="112"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe>
|
|
</div>
|
|
</div>
|
|
</div><table class="memberdecls">
|
|
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="define-members"></a>
|
|
Macros</h2></td></tr>
|
|
<tr class="memitem:ae01eda5098801bb6b5b778828fb4fddc"><td class="memItemLeft" align="right" valign="top">#define </td><td class="memItemRight" valign="bottom"><a class="el" href="../../dc/dfe/ternary__search_8cpp.html#ae01eda5098801bb6b5b778828fb4fddc">absolutePrecision</a>   10</td></tr>
|
|
<tr class="separator:ae01eda5098801bb6b5b778828fb4fddc"><td class="memSeparator" colspan="2"> </td></tr>
|
|
<tr class="memitem:a23ad617bfce1e7cf4591059c85c1a027"><td class="memItemLeft" align="right" valign="top">#define </td><td class="memItemRight" valign="bottom"><a class="el" href="../../dc/dfe/ternary__search_8cpp.html#a23ad617bfce1e7cf4591059c85c1a027">_target</a>   10</td></tr>
|
|
<tr class="separator:a23ad617bfce1e7cf4591059c85c1a027"><td class="memSeparator" colspan="2"> </td></tr>
|
|
<tr class="memitem:a392fb874e547e582e9c66a08a1f23326"><td class="memItemLeft" align="right" valign="top"><a id="a392fb874e547e582e9c66a08a1f23326"></a>
|
|
#define </td><td class="memItemRight" valign="bottom"><a class="el" href="../../dc/dfe/ternary__search_8cpp.html#a392fb874e547e582e9c66a08a1f23326">MAX</a>   10000000</td></tr>
|
|
<tr class="memdesc:a392fb874e547e582e9c66a08a1f23326"><td class="mdescLeft"> </td><td class="mdescRight">Maximum length of array. <br /></td></tr>
|
|
<tr class="separator:a392fb874e547e582e9c66a08a1f23326"><td class="memSeparator" colspan="2"> </td></tr>
|
|
</table><table class="memberdecls">
|
|
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
|
|
Functions</h2></td></tr>
|
|
<tr class="memitem:a7f7d866eccdabe51bb16818a792618b1"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="../../dc/dfe/ternary__search_8cpp.html#a7f7d866eccdabe51bb16818a792618b1">get_input</a> ()</td></tr>
|
|
<tr class="separator:a7f7d866eccdabe51bb16818a792618b1"><td class="memSeparator" colspan="2"> </td></tr>
|
|
<tr class="memitem:ae30dfe2894191bfeffe5b3b1854b95b0"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="../../dc/dfe/ternary__search_8cpp.html#ae30dfe2894191bfeffe5b3b1854b95b0">it_ternary_search</a> (int left, int right, int A[], int target)</td></tr>
|
|
<tr class="separator:ae30dfe2894191bfeffe5b3b1854b95b0"><td class="memSeparator" colspan="2"> </td></tr>
|
|
<tr class="memitem:a93d0099db95022f1eb90ddfd68f73ead"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="../../dc/dfe/ternary__search_8cpp.html#a93d0099db95022f1eb90ddfd68f73ead">rec_ternary_search</a> (int left, int right, int A[], int target)</td></tr>
|
|
<tr class="separator:a93d0099db95022f1eb90ddfd68f73ead"><td class="memSeparator" colspan="2"> </td></tr>
|
|
<tr class="memitem:aef655a27eb82efa299bf9d0becf6e9c8"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="../../dc/dfe/ternary__search_8cpp.html#aef655a27eb82efa299bf9d0becf6e9c8">ternary_search</a> (int N, int A[], int target)</td></tr>
|
|
<tr class="separator:aef655a27eb82efa299bf9d0becf6e9c8"><td class="memSeparator" colspan="2"> </td></tr>
|
|
<tr class="memitem:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="../../dc/dfe/ternary__search_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a> ()</td></tr>
|
|
<tr class="separator:ae66f6b31b5ad750f1fe042a706a4e3d4"><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/Ternary_search">Ternary search</a> algorithm </p>
|
|
<p>This is a divide and conquer algorithm. It does this by dividing the search space by 3 parts and using its property (usually monotonic property) to find the desired index.</p>
|
|
<ul>
|
|
<li>Time Complexity : O(log3 n)</li>
|
|
<li>Space Complexity : O(1) (without the array) </li>
|
|
</ul>
|
|
</div><h2 class="groupheader">Macro Definition Documentation</h2>
|
|
<a id="a23ad617bfce1e7cf4591059c85c1a027"></a>
|
|
<h2 class="memtitle"><span class="permalink"><a href="#a23ad617bfce1e7cf4591059c85c1a027">◆ </a></span>_target</h2>
|
|
|
|
<div class="memitem">
|
|
<div class="memproto">
|
|
<table class="memname">
|
|
<tr>
|
|
<td class="memname">#define _target   10</td>
|
|
</tr>
|
|
</table>
|
|
</div><div class="memdoc">
|
|
<p>The value of _target should be decided or can be decided later by using the variable of the function. </p>
|
|
|
|
</div>
|
|
</div>
|
|
<a id="ae01eda5098801bb6b5b778828fb4fddc"></a>
|
|
<h2 class="memtitle"><span class="permalink"><a href="#ae01eda5098801bb6b5b778828fb4fddc">◆ </a></span>absolutePrecision</h2>
|
|
|
|
<div class="memitem">
|
|
<div class="memproto">
|
|
<table class="memname">
|
|
<tr>
|
|
<td class="memname">#define absolutePrecision   10</td>
|
|
</tr>
|
|
</table>
|
|
</div><div class="memdoc">
|
|
<p>The absolutePrecision can be modified to fit preference but it is recommended to not go lower than 10 due to errors that may occur. </p>
|
|
|
|
</div>
|
|
</div>
|
|
<h2 class="groupheader">Function Documentation</h2>
|
|
<a id="a7f7d866eccdabe51bb16818a792618b1"></a>
|
|
<h2 class="memtitle"><span class="permalink"><a href="#a7f7d866eccdabe51bb16818a792618b1">◆ </a></span>get_input()</h2>
|
|
|
|
<div class="memitem">
|
|
<div class="memproto">
|
|
<table class="memname">
|
|
<tr>
|
|
<td class="memname">void get_input </td>
|
|
<td>(</td>
|
|
<td class="paramname"></td><td>)</td>
|
|
<td></td>
|
|
</tr>
|
|
</table>
|
|
</div><div class="memdoc">
|
|
<p>get_input function is to receive input from standard IO </p><dl class="todo"><dt><b><a class="el" href="../../dd/da0/todo.html#_todo000014">Todo:</a></b></dt><dd>@christianbender Get input from STDIO or write input to memory as done above. </dd></dl>
|
|
<div class="fragment"><div class="line"><a name="l00036"></a><span class="lineno"> 36</span> {}</div>
|
|
</div><!-- fragment -->
|
|
</div>
|
|
</div>
|
|
<a id="ae30dfe2894191bfeffe5b3b1854b95b0"></a>
|
|
<h2 class="memtitle"><span class="permalink"><a href="#ae30dfe2894191bfeffe5b3b1854b95b0">◆ </a></span>it_ternary_search()</h2>
|
|
|
|
<div class="memitem">
|
|
<div class="memproto">
|
|
<table class="memname">
|
|
<tr>
|
|
<td class="memname">int it_ternary_search </td>
|
|
<td>(</td>
|
|
<td class="paramtype">int </td>
|
|
<td class="paramname"><em>left</em>, </td>
|
|
</tr>
|
|
<tr>
|
|
<td class="paramkey"></td>
|
|
<td></td>
|
|
<td class="paramtype">int </td>
|
|
<td class="paramname"><em>right</em>, </td>
|
|
</tr>
|
|
<tr>
|
|
<td class="paramkey"></td>
|
|
<td></td>
|
|
<td class="paramtype">int </td>
|
|
<td class="paramname"><em>A</em>[], </td>
|
|
</tr>
|
|
<tr>
|
|
<td class="paramkey"></td>
|
|
<td></td>
|
|
<td class="paramtype">int </td>
|
|
<td class="paramname"><em>target</em> </td>
|
|
</tr>
|
|
<tr>
|
|
<td></td>
|
|
<td>)</td>
|
|
<td></td><td></td>
|
|
</tr>
|
|
</table>
|
|
</div><div class="memdoc">
|
|
<p>This is the iterative method of the ternary search which returns the index of the element. </p><dl class="params"><dt>Parameters</dt><dd>
|
|
<table class="params">
|
|
<tr><td class="paramdir">[in]</td><td class="paramname">left</td><td>lower interval limit </td></tr>
|
|
<tr><td class="paramdir">[in]</td><td class="paramname">right</td><td>upper interval limit </td></tr>
|
|
<tr><td class="paramdir">[in]</td><td class="paramname">A</td><td>array to search in </td></tr>
|
|
<tr><td class="paramdir">[in]</td><td class="paramname">target</td><td>value to search for </td></tr>
|
|
</table>
|
|
</dd>
|
|
</dl>
|
|
<dl class="section return"><dt>Returns</dt><dd>index where the target value was found </dd>
|
|
<dd>
|
|
-1 if target value not found </dd></dl>
|
|
<div class="fragment"><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="keywordflow">while</span> (1) {</div>
|
|
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  <span class="keywordflow">if</span> (left < right) {</div>
|
|
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  <span class="keywordflow">if</span> (right - left < <a class="code" href="../../dc/dfe/ternary__search_8cpp.html#ae01eda5098801bb6b5b778828fb4fddc">absolutePrecision</a>) {</div>
|
|
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = left; i <= <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/left.html">right</a>; i++)</div>
|
|
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  <span class="keywordflow">if</span> (A[i] == target)</div>
|
|
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  <span class="keywordflow">return</span> i;</div>
|
|
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  </div>
|
|
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  <span class="keywordflow">return</span> -1;</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="keywordtype">int</span> oneThird = (<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/left.html">left</a> + <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/left.html">right</a>) / 3 + 1;</div>
|
|
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  <span class="keywordtype">int</span> twoThird = (<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/left.html">left</a> + <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/left.html">right</a>) * 2 / 3 + 1;</div>
|
|
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  </div>
|
|
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  <span class="keywordflow">if</span> (A[oneThird] == target)</div>
|
|
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  <span class="keywordflow">return</span> oneThird;</div>
|
|
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  <span class="keywordflow">else</span> <span class="keywordflow">if</span> (A[twoThird] == target)</div>
|
|
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  <span class="keywordflow">return</span> twoThird;</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>  <span class="keywordflow">else</span> <span class="keywordflow">if</span> (target > A[twoThird])</div>
|
|
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/left.html">left</a> = twoThird + 1;</div>
|
|
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  <span class="keywordflow">else</span> <span class="keywordflow">if</span> (target < A[oneThird])</div>
|
|
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/left.html">right</a> = oneThird - 1;</div>
|
|
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  </div>
|
|
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  <span class="keywordflow">else</span></div>
|
|
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/left.html">left</a> = oneThird + 1, <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/left.html">right</a> = twoThird - 1;</div>
|
|
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  } <span class="keywordflow">else</span> {</div>
|
|
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  <span class="keywordflow">return</span> -1;</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>  }</div>
|
|
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span> }</div>
|
|
</div><!-- fragment -->
|
|
</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="paramtype">void </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="l00134"></a><span class="lineno"> 134</span>  {</div>
|
|
<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  <span class="keywordtype">int</span> N = 21;</div>
|
|
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  <span class="keywordtype">int</span> A[] = {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 4, 10};</div>
|
|
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  <a class="code" href="../../dc/dfe/ternary__search_8cpp.html#a7f7d866eccdabe51bb16818a792618b1">get_input</a>();</div>
|
|
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  <a class="code" href="../../dc/dfe/ternary__search_8cpp.html#aef655a27eb82efa299bf9d0becf6e9c8">ternary_search</a>(N, A, <a class="code" href="../../dc/dfe/ternary__search_8cpp.html#a23ad617bfce1e7cf4591059c85c1a027">_target</a>);</div>
|
|
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  <span class="keywordflow">return</span> 0;</div>
|
|
<div class="line"><a name="l00140"></a><span class="lineno"> 140</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="../../dc/dfe/ternary__search_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.svg" width="399" height="139"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe>
|
|
</div>
|
|
</div>
|
|
|
|
</div>
|
|
</div>
|
|
<a id="a93d0099db95022f1eb90ddfd68f73ead"></a>
|
|
<h2 class="memtitle"><span class="permalink"><a href="#a93d0099db95022f1eb90ddfd68f73ead">◆ </a></span>rec_ternary_search()</h2>
|
|
|
|
<div class="memitem">
|
|
<div class="memproto">
|
|
<table class="memname">
|
|
<tr>
|
|
<td class="memname">int rec_ternary_search </td>
|
|
<td>(</td>
|
|
<td class="paramtype">int </td>
|
|
<td class="paramname"><em>left</em>, </td>
|
|
</tr>
|
|
<tr>
|
|
<td class="paramkey"></td>
|
|
<td></td>
|
|
<td class="paramtype">int </td>
|
|
<td class="paramname"><em>right</em>, </td>
|
|
</tr>
|
|
<tr>
|
|
<td class="paramkey"></td>
|
|
<td></td>
|
|
<td class="paramtype">int </td>
|
|
<td class="paramname"><em>A</em>[], </td>
|
|
</tr>
|
|
<tr>
|
|
<td class="paramkey"></td>
|
|
<td></td>
|
|
<td class="paramtype">int </td>
|
|
<td class="paramname"><em>target</em> </td>
|
|
</tr>
|
|
<tr>
|
|
<td></td>
|
|
<td>)</td>
|
|
<td></td><td></td>
|
|
</tr>
|
|
</table>
|
|
</div><div class="memdoc">
|
|
<p>This is the recursive method of the ternary search which returns the index of the element. </p><dl class="params"><dt>Parameters</dt><dd>
|
|
<table class="params">
|
|
<tr><td class="paramdir">[in]</td><td class="paramname">left</td><td>lower interval limit </td></tr>
|
|
<tr><td class="paramdir">[in]</td><td class="paramname">right</td><td>upper interval limit </td></tr>
|
|
<tr><td class="paramdir">[in]</td><td class="paramname">A</td><td>array to search in </td></tr>
|
|
<tr><td class="paramdir">[in]</td><td class="paramname">target</td><td>value to search for </td></tr>
|
|
</table>
|
|
</dd>
|
|
</dl>
|
|
<dl class="section return"><dt>Returns</dt><dd>index where the target value was found </dd>
|
|
<dd>
|
|
-1 if target value not found </dd></dl>
|
|
<div class="fragment"><div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  {</div>
|
|
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  <span class="keywordflow">if</span> (left < right) {</div>
|
|
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  <span class="keywordflow">if</span> (right - left < <a class="code" href="../../dc/dfe/ternary__search_8cpp.html#ae01eda5098801bb6b5b778828fb4fddc">absolutePrecision</a>) {</div>
|
|
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = left; i <= <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/left.html">right</a>; i++)</div>
|
|
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  <span class="keywordflow">if</span> (A[i] == target)</div>
|
|
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  <span class="keywordflow">return</span> i;</div>
|
|
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  </div>
|
|
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  <span class="keywordflow">return</span> -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>  </div>
|
|
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  <span class="keywordtype">int</span> oneThird = (<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/left.html">left</a> + <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/left.html">right</a>) / 3 + 1;</div>
|
|
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  <span class="keywordtype">int</span> twoThird = (<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/left.html">left</a> + <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/left.html">right</a>) * 2 / 3 + 1;</div>
|
|
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  </div>
|
|
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  <span class="keywordflow">if</span> (A[oneThird] == target)</div>
|
|
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  <span class="keywordflow">return</span> oneThird;</div>
|
|
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  <span class="keywordflow">if</span> (A[twoThird] == target)</div>
|
|
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  <span class="keywordflow">return</span> twoThird;</div>
|
|
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  </div>
|
|
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  <span class="keywordflow">if</span> (target < A[oneThird])</div>
|
|
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  <span class="keywordflow">return</span> <a class="code" href="../../dc/dfe/ternary__search_8cpp.html#a93d0099db95022f1eb90ddfd68f73ead">rec_ternary_search</a>(left, oneThird - 1, A, target);</div>
|
|
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  <span class="keywordflow">if</span> (target > A[twoThird])</div>
|
|
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  <span class="keywordflow">return</span> <a class="code" href="../../dc/dfe/ternary__search_8cpp.html#a93d0099db95022f1eb90ddfd68f73ead">rec_ternary_search</a>(twoThird + 1, right, A, target);</div>
|
|
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  </div>
|
|
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  <span class="keywordflow">return</span> <a class="code" href="../../dc/dfe/ternary__search_8cpp.html#a93d0099db95022f1eb90ddfd68f73ead">rec_ternary_search</a>(oneThird + 1, twoThird - 1, A, target);</div>
|
|
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  } <span class="keywordflow">else</span> {</div>
|
|
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  <span class="keywordflow">return</span> -1;</div>
|
|
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  }</div>
|
|
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span> }</div>
|
|
</div><!-- fragment -->
|
|
</div>
|
|
</div>
|
|
<a id="aef655a27eb82efa299bf9d0becf6e9c8"></a>
|
|
<h2 class="memtitle"><span class="permalink"><a href="#aef655a27eb82efa299bf9d0becf6e9c8">◆ </a></span>ternary_search()</h2>
|
|
|
|
<div class="memitem">
|
|
<div class="memproto">
|
|
<table class="memname">
|
|
<tr>
|
|
<td class="memname">void ternary_search </td>
|
|
<td>(</td>
|
|
<td class="paramtype">int </td>
|
|
<td class="paramname"><em>N</em>, </td>
|
|
</tr>
|
|
<tr>
|
|
<td class="paramkey"></td>
|
|
<td></td>
|
|
<td class="paramtype">int </td>
|
|
<td class="paramname"><em>A</em>[], </td>
|
|
</tr>
|
|
<tr>
|
|
<td class="paramkey"></td>
|
|
<td></td>
|
|
<td class="paramtype">int </td>
|
|
<td class="paramname"><em>target</em> </td>
|
|
</tr>
|
|
<tr>
|
|
<td></td>
|
|
<td>)</td>
|
|
<td></td><td></td>
|
|
</tr>
|
|
</table>
|
|
</div><div class="memdoc">
|
|
<p>ternary_search is a template function You could either use it_ternary_search or rec_ternary_search according to preference. </p><dl class="params"><dt>Parameters</dt><dd>
|
|
<table class="params">
|
|
<tr><td class="paramdir">[in]</td><td class="paramname">N</td><td>length of array </td></tr>
|
|
<tr><td class="paramdir">[in]</td><td class="paramname">A</td><td>array to search in </td></tr>
|
|
<tr><td class="paramdir">[in]</td><td class="paramname">target</td><td>value to search for </td></tr>
|
|
</table>
|
|
</dd>
|
|
</dl>
|
|
<div class="fragment"><div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  {</div>
|
|
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <a class="code" href="../../dc/dfe/ternary__search_8cpp.html#ae30dfe2894191bfeffe5b3b1854b95b0">it_ternary_search</a>(0, N - 1, A, target) << <span class="charliteral">'\t'</span>;</div>
|
|
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <a class="code" href="../../dc/dfe/ternary__search_8cpp.html#a93d0099db95022f1eb90ddfd68f73ead">rec_ternary_search</a>(0, N - 1, A, target) << <span class="charliteral">'\t'</span>;</div>
|
|
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
|
|
<div class="line"><a name="l00131"></a><span class="lineno"> 131</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="../../dc/dfe/ternary__search_8cpp_aef655a27eb82efa299bf9d0becf6e9c8_cgraph.svg" width="300" height="139"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe>
|
|
</div>
|
|
</div>
|
|
|
|
</div>
|
|
</div>
|
|
</div><!-- contents -->
|
|
</div><!-- doc-content -->
|
|
<div class="ttc" id="aternary__search_8cpp_html_aef655a27eb82efa299bf9d0becf6e9c8"><div class="ttname"><a href="../../dc/dfe/ternary__search_8cpp.html#aef655a27eb82efa299bf9d0becf6e9c8">ternary_search</a></div><div class="ttdeci">void ternary_search(int N, int A[], int target)</div><div class="ttdef"><b>Definition:</b> ternary_search.cpp:127</div></div>
|
|
<div class="ttc" id="aternary__search_8cpp_html_ae01eda5098801bb6b5b778828fb4fddc"><div class="ttname"><a href="../../dc/dfe/ternary__search_8cpp.html#ae01eda5098801bb6b5b778828fb4fddc">absolutePrecision</a></div><div class="ttdeci">#define absolutePrecision</div><div class="ttdef"><b>Definition:</b> ternary_search.cpp:22</div></div>
|
|
<div class="ttc" id="aternary__search_8cpp_html_a93d0099db95022f1eb90ddfd68f73ead"><div class="ttname"><a href="../../dc/dfe/ternary__search_8cpp.html#a93d0099db95022f1eb90ddfd68f73ead">rec_ternary_search</a></div><div class="ttdeci">int rec_ternary_search(int left, int right, int A[], int target)</div><div class="ttdef"><b>Definition:</b> ternary_search.cpp:90</div></div>
|
|
<div class="ttc" id="abasic_ostream_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a></div></div>
|
|
<div class="ttc" id="aternary__search_8cpp_html_a23ad617bfce1e7cf4591059c85c1a027"><div class="ttname"><a href="../../dc/dfe/ternary__search_8cpp.html#a23ad617bfce1e7cf4591059c85c1a027">_target</a></div><div class="ttdeci">#define _target</div><div class="ttdef"><b>Definition:</b> ternary_search.cpp:27</div></div>
|
|
<div class="ttc" id="aternary__search_8cpp_html_ae30dfe2894191bfeffe5b3b1854b95b0"><div class="ttname"><a href="../../dc/dfe/ternary__search_8cpp.html#ae30dfe2894191bfeffe5b3b1854b95b0">it_ternary_search</a></div><div class="ttdeci">int it_ternary_search(int left, int right, int A[], int target)</div><div class="ttdef"><b>Definition:</b> ternary_search.cpp:48</div></div>
|
|
<div class="ttc" id="aendl_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a></div><div class="ttdeci">T endl(T... args)</div></div>
|
|
<div class="ttc" id="aleft_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/manip/left.html">std::right</a></div><div class="ttdeci">T right(T... args)</div></div>
|
|
<div class="ttc" id="aternary__search_8cpp_html_a7f7d866eccdabe51bb16818a792618b1"><div class="ttname"><a href="../../dc/dfe/ternary__search_8cpp.html#a7f7d866eccdabe51bb16818a792618b1">get_input</a></div><div class="ttdeci">void get_input()</div><div class="ttdef"><b>Definition:</b> ternary_search.cpp:36</div></div>
|
|
<!-- start footer part -->
|
|
<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
|
|
<ul>
|
|
<li class="navelem"><a class="el" href="../../dir_19b2bf9199a15c634a08b1ede1dd896a.html">search</a></li><li class="navelem"><a class="el" href="../../dc/dfe/ternary__search_8cpp.html">ternary_search.cpp</a></li>
|
|
<li class="footer">Generated by <a href="http://www.doxygen.org/index.html"><img class="footer" src="../../doxygen.svg" width="104" height="31" alt="doxygen"/></a> 1.8.19 </li>
|
|
</ul>
|
|
</div>
|
|
</body>
|
|
</html>
|