backup/C-Plus-Plus
1
0
Fork 0
mirror of https://github.com/TheAlgorithms/C-Plus-Plus.git synced 2026-03-21 20:31:43 +08:00
Code Issues Projects Releases Wiki Activity

Documentation for 341ed50da8

Browse Source
This commit is contained in:
github-actions
2021-09-03 19:56:17 +00:00
parent 52d0c55145
commit 08e8eb037e
3432 changed files with 71392 additions and 72953 deletions
Download Patch File Download Diff File Expand all files Collapse all files

123
d4/d8d/jarvis__algorithm_8cpp.html
View File

@@ -2,8 +2,8 @@
<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 1.9.1"/>
<meta http-equiv="X-UA-Compatible" content="IE=11"/>
<meta name="generator" content="Doxygen 1.9.2"/>
<meta name="viewport" content="width=device-width, initial-scale=1"/>
<title>Algorithms_in_C++: geometry/jarvis_algorithm.cpp File Reference</title>
<link href="../../tabs.css" rel="stylesheet" type="text/css"/>
@@ -17,9 +17,9 @@
<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"],
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>
@@ -32,8 +32,7 @@
<tbody>
<tr style="height: 56px;">
<td id="projectalign" style="padding-left: 0.5em;">
<div id="projectname">Algorithms_in_C++
&#160;<span id="projectnumber">1.0.0</span>
<div id="projectname">Algorithms_in_C++<span id="projectnumber">&#160;1.0.0</span>
</div>
<div id="projectbrief">Set of algorithms implemented in C++.</div>
</td>
@@ -42,21 +41,22 @@
</table>
</div>
<!-- end header part -->
<!-- Generated by Doxygen 1.9.1 -->
<!-- Generated by Doxygen 1.9.2 -->
<script type="text/javascript">
/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&amp;dn=gpl-2.0.txt GPL-v2 */
var searchBox = new SearchBox("searchBox", "../../search",false,'Search','.html');
/* @license magnet:?xt=urn:btih:d3d9a9a6595521f9666a5e94cc830dab83b65699&amp;dn=expat.txt MIT */
var searchBox = new SearchBox("searchBox", "../../search",'Search','.html');
/* @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&amp;dn=gpl-2.0.txt GPL-v2 */
/* @license magnet:?xt=urn:btih:d3d9a9a6595521f9666a5e94cc830dab83b65699&amp;dn=expat.txt MIT */
$(function() {
initMenu('../../',true,false,'search.php','Search');
$(document).ready(function() { init_search(); });
});
/* @license-end */</script>
/* @license-end */
</script>
<div id="main-nav"></div>
</div><!-- top -->
<div id="side-nav" class="ui-resizable side-nav-resizable">
@@ -70,7 +70,7 @@ $(function() {
</div>
</div>
<script type="text/javascript">
/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&amp;dn=gpl-2.0.txt GPL-v2 */
/* @license magnet:?xt=urn:btih:d3d9a9a6595521f9666a5e94cc830dab83b65699&amp;dn=expat.txt MIT */
$(document).ready(function(){initNavTree('d4/d8d/jarvis__algorithm_8cpp.html','../../'); initResizable(); });
/* @license-end */
</script>
@@ -94,12 +94,11 @@ $(document).ready(function(){initNavTree('d4/d8d/jarvis__algorithm_8cpp.html','.
<a href="#nested-classes">Classes</a> &#124;
<a href="#namespaces">Namespaces</a> &#124;
<a href="#func-members">Functions</a> </div>
<div class="headertitle">
<div class="title">jarvis_algorithm.cpp File Reference</div> </div>
<div class="headertitle"><div class="title">jarvis_algorithm.cpp File Reference</div></div>
</div><!--header-->
<div class="contents">
<p>Implementation of <a href="https://en.wikipedia.org/wiki/Gift_wrapping_algorithm">Jarvis’s</a> algorithm.
<p>Implementation of <a href="https://en.wikipedia.org/wiki/Gift_wrapping_algorithm" target="_blank">Jarvis’s</a> algorithm.
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &lt;vector&gt;</code><br />
<code>#include &lt;cassert&gt;</code><br />
@@ -111,23 +110,23 @@ Include dependency graph for jarvis_algorithm.cpp:</div>
</div>
</div>
</div><table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="nested-classes"></a>
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="nested-classes" name="nested-classes"></a>
Classes</h2></td></tr>
<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d5a/structgeometry_1_1jarvis_1_1_point.html">geometry::jarvis::Point</a></td></tr>
<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d4/dde/classgeometry_1_1jarvis_1_1_convexhull.html">geometry::jarvis::Convexhull</a></td></tr>
<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
</table><table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="namespaces" name="namespaces"></a>
Namespaces</h2></td></tr>
<tr class="memitem:d5/d5f/namespacegeometry"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d5/d5f/namespacegeometry.html">geometry</a></td></tr>
<tr class="memitem:d5/d5f/namespacegeometry"><td class="memItemLeft" align="right" valign="top">namespace &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d5/d5f/namespacegeometry.html">geometry</a></td></tr>
<tr class="memdesc:d5/d5f/namespacegeometry"><td class="mdescLeft">&#160;</td><td class="mdescRight">Geometry algorithms. <br /></td></tr>
<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:d5/da7/namespacejarvis"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d5/da7/namespacejarvis.html">jarvis</a></td></tr>
<tr class="memdesc:d5/da7/namespacejarvis"><td class="mdescLeft">&#160;</td><td class="mdescRight">Functions for <a href="https://en.wikipedia.org/wiki/Gift_wrapping_algorithm">Jarvis’s</a> algorithm. <br /></td></tr>
<tr class="memitem:d5/da7/namespacejarvis"><td class="memItemLeft" align="right" valign="top">namespace &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d5/da7/namespacejarvis.html">jarvis</a></td></tr>
<tr class="memdesc:d5/da7/namespacejarvis"><td class="mdescLeft">&#160;</td><td class="mdescRight">Functions for <a href="https://en.wikipedia.org/wiki/Gift_wrapping_algorithm" target="_blank">Jarvis’s</a> algorithm. <br /></td></tr>
<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
</table><table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="func-members" name="func-members"></a>
Functions</h2></td></tr>
<tr class="memitem:aa8dca7b867074164d5f45b0f3851269d"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d4/d8d/jarvis__algorithm_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a> ()</td></tr>
<tr class="separator:aa8dca7b867074164d5f45b0f3851269d"><td class="memSeparator" colspan="2">&#160;</td></tr>
@@ -135,17 +134,17 @@ Functions</h2></td></tr>
<tr class="separator:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memSeparator" colspan="2">&#160;</td></tr>
</table>
<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p>Implementation of <a href="https://en.wikipedia.org/wiki/Gift_wrapping_algorithm">Jarvis’s</a> algorithm. </p>
<p>Given a set of points in the plane. the convex hull of the set is the smallest convex polygon that contains all the points of it.</p>
<div class="textblock"><p >Implementation of <a href="https://en.wikipedia.org/wiki/Gift_wrapping_algorithm" target="_blank">Jarvis’s</a> algorithm. </p>
<p >Given a set of points in the plane. the convex hull of the set is the smallest convex polygon that contains all the points of it.</p>
<h3><a class="anchor" id="autotoc_md65"></a>
Algorithm</h3>
<p>The idea of Jarvis’s Algorithm is simple, we start from the leftmost point (or point with minimum x coordinate value) and we keep wrapping points in counterclockwise direction.</p>
<p>The idea is to use orientation() here. Next point is selected as the point that beats all other points at counterclockwise orientation, i.e., next point is q if for any other point r, we have “orientation(p, q, r) = counterclockwise”.</p>
<p>For Example, If points = {{0, 3}, {2, 2}, {1, 1}, {2, 1}, {3, 0}, {0, 0}, {3, 3}};</p>
<p>then the convex hull is (0, 3), (0, 0), (3, 0), (3, 3)</p>
<dl class="section author"><dt>Author</dt><dd><a href="https://github.com/rishabh-997">Rishabh Agarwal</a> </dd></dl>
<p >The idea of Jarvis’s Algorithm is simple, we start from the leftmost point (or point with minimum x coordinate value) and we keep wrapping points in counterclockwise direction.</p>
<p >The idea is to use orientation() here. Next point is selected as the point that beats all other points at counterclockwise orientation, i.e., next point is q if for any other point r, we have “orientation(p, q, r) = counterclockwise”.</p>
<p >For Example, If points = {{0, 3}, {2, 2}, {1, 1}, {2, 1}, {3, 0}, {0, 0}, {3, 3}};</p>
<p >then the convex hull is (0, 3), (0, 0), (3, 0), (3, 3)</p>
<dl class="section author"><dt>Author</dt><dd><a href="https://github.com/rishabh-997" target="_blank">Rishabh Agarwal</a> </dd></dl>
</div><h2 class="groupheader">Function Documentation</h2>
<a id="ae66f6b31b5ad750f1fe042a706a4e3d4"></a>
<a id="ae66f6b31b5ad750f1fe042a706a4e3d4" name="ae66f6b31b5ad750f1fe042a706a4e3d4"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ae66f6b31b5ad750f1fe042a706a4e3d4">&#9670;&nbsp;</a></span>main()</h2>
<div class="memitem">
@@ -160,11 +159,11 @@ Algorithm</h3>
</tr>
</table>
</div><div class="memdoc">
<p>Driver Code </p>
<div class="fragment"><div class="line"><a name="l00176"></a><span class="lineno"> 176</span>&#160; {</div>
<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>&#160; <a class="code" href="../../d4/d8d/jarvis__algorithm_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>();</div>
<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>&#160; <span class="keywordflow">return</span> 0;</div>
<div class="line"><a name="l00179"></a><span class="lineno"> 179</span>&#160;}</div>
<p >Driver Code </p>
<div class="fragment"><div class="line"><a id="l00176" name="l00176"></a><span class="lineno"> 176</span> {</div>
<div class="line"><a id="l00177" name="l00177"></a><span class="lineno"> 177</span> <a class="code hl_function" href="../../d4/d8d/jarvis__algorithm_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>();</div>
<div class="line"><a id="l00178" name="l00178"></a><span class="lineno"> 178</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><a id="l00179" name="l00179"></a><span class="lineno"> 179</span>}</div>
<div class="ttc" id="ajarvis__algorithm_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="../../d4/d8d/jarvis__algorithm_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a></div><div class="ttdeci">static void test()</div><div class="ttdef"><b>Definition:</b> jarvis_algorithm.cpp:151</div></div>
</div><!-- fragment --><div class="dynheader">
Here is the call graph for this function:</div>
@@ -175,7 +174,7 @@ Here is the call graph for this function:</div>
</div>
</div>
<a id="aa8dca7b867074164d5f45b0f3851269d"></a>
<a id="aa8dca7b867074164d5f45b0f3851269d" name="aa8dca7b867074164d5f45b0f3851269d"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aa8dca7b867074164d5f45b0f3851269d">&#9670;&nbsp;</a></span>test()</h2>
<div class="memitem">
@@ -197,34 +196,34 @@ Here is the call graph for this function:</div>
</tr>
</table>
</div><div class="memdoc">
<p>Test function </p><dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
<div class="fragment"><div class="line"><a name="l00151"></a><span class="lineno"> 151</span>&#160; {</div>
<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;geometry::jarvis::Point&gt;</a> points = {{0, 3},</div>
<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>&#160; {2, 2},</div>
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>&#160; {1, 1},</div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>&#160; {2, 1},</div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>&#160; {3, 0},</div>
<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>&#160; {0, 0},</div>
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>&#160; {3, 3}</div>
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>&#160; };</div>
<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>&#160; <a class="code" href="../../d4/dde/classgeometry_1_1jarvis_1_1_convexhull.html">geometry::jarvis::Convexhull</a> hull(points);</div>
<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;geometry::jarvis::Point&gt;</a> actualPoint;</div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>&#160; actualPoint = hull.getConvexHull();</div>
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>&#160; </div>
<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;geometry::jarvis::Point&gt;</a> expectedPoint = {{0, 3},</div>
<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>&#160; {0, 0},</div>
<div class="line"><a name="l00166"></a><span class="lineno"> 166</span>&#160; {3, 0},</div>
<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>&#160; {3, 3}};</div>
<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; expectedPoint.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>(); i++) {</div>
<div class="line"><a name="l00169"></a><span class="lineno"> 169</span>&#160; assert(actualPoint[i].x == expectedPoint[i].x);</div>
<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>&#160; assert(actualPoint[i].y == expectedPoint[i].y);</div>
<div class="line"><a name="l00171"></a><span class="lineno"> 171</span>&#160; }</div>
<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Test implementations passed!\n&quot;</span>;</div>
<div class="line"><a name="l00173"></a><span class="lineno"> 173</span>&#160;}</div>
<p >Test function </p><dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
<div class="fragment"><div class="line"><a id="l00151" name="l00151"></a><span class="lineno"> 151</span> {</div>
<div class="line"><a id="l00152" name="l00152"></a><span class="lineno"> 152</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;geometry::jarvis::Point&gt;</a> points = {{0, 3},</div>
<div class="line"><a id="l00153" name="l00153"></a><span class="lineno"> 153</span> {2, 2},</div>
<div class="line"><a id="l00154" name="l00154"></a><span class="lineno"> 154</span> {1, 1},</div>
<div class="line"><a id="l00155" name="l00155"></a><span class="lineno"> 155</span> {2, 1},</div>
<div class="line"><a id="l00156" name="l00156"></a><span class="lineno"> 156</span> {3, 0},</div>
<div class="line"><a id="l00157" name="l00157"></a><span class="lineno"> 157</span> {0, 0},</div>
<div class="line"><a id="l00158" name="l00158"></a><span class="lineno"> 158</span> {3, 3}</div>
<div class="line"><a id="l00159" name="l00159"></a><span class="lineno"> 159</span> };</div>
<div class="line"><a id="l00160" name="l00160"></a><span class="lineno"> 160</span> <a class="code hl_class" href="../../d4/dde/classgeometry_1_1jarvis_1_1_convexhull.html">geometry::jarvis::Convexhull</a> hull(points);</div>
<div class="line"><a id="l00161" name="l00161"></a><span class="lineno"> 161</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;geometry::jarvis::Point&gt;</a> actualPoint;</div>
<div class="line"><a id="l00162" name="l00162"></a><span class="lineno"> 162</span> actualPoint = hull.getConvexHull();</div>
<div class="line"><a id="l00163" name="l00163"></a><span class="lineno"> 163</span> </div>
<div class="line"><a id="l00164" name="l00164"></a><span class="lineno"> 164</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;geometry::jarvis::Point&gt;</a> expectedPoint = {{0, 3},</div>
<div class="line"><a id="l00165" name="l00165"></a><span class="lineno"> 165</span> {0, 0},</div>
<div class="line"><a id="l00166" name="l00166"></a><span class="lineno"> 166</span> {3, 0},</div>
<div class="line"><a id="l00167" name="l00167"></a><span class="lineno"> 167</span> {3, 3}};</div>
<div class="line"><a id="l00168" name="l00168"></a><span class="lineno"> 168</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; expectedPoint.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>(); i++) {</div>
<div class="line"><a id="l00169" name="l00169"></a><span class="lineno"> 169</span> assert(actualPoint[i].x == expectedPoint[i].x);</div>
<div class="line"><a id="l00170" name="l00170"></a><span class="lineno"> 170</span> assert(actualPoint[i].y == expectedPoint[i].y);</div>
<div class="line"><a id="l00171" name="l00171"></a><span class="lineno"> 171</span> }</div>
<div class="line"><a id="l00172" name="l00172"></a><span class="lineno"> 172</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Test implementations passed!\n&quot;</span>;</div>
<div class="line"><a id="l00173" name="l00173"></a><span class="lineno"> 173</span>}</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="aclassgeometry_1_1jarvis_1_1_convexhull_html"><div class="ttname"><a href="../../d4/dde/classgeometry_1_1jarvis_1_1_convexhull.html">geometry::jarvis::Convexhull</a></div><div class="ttdef"><b>Definition:</b> jarvis_algorithm.cpp:55</div></div>
<div class="ttc" id="asize_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector/size.html">std::vector::size</a></div><div class="ttdeci">T size(T... args)</div></div>
<div class="ttc" id="avector_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt; geometry::jarvis::Point &gt;</a></div></div>
<div class="ttc" id="avector_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a></div></div>
</div><!-- fragment --><div class="dynheader">
Here is the call graph for this function:</div>
<div class="dyncontent">
@@ -240,7 +239,7 @@ Here is the call graph for this function:</div>
<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
<ul>
<li class="navelem"><a class="el" href="../../dir_e3380d2178455503f266746fb14246a5.html">geometry</a></li><li class="navelem"><a class="el" href="../../d4/d8d/jarvis__algorithm_8cpp.html">jarvis_algorithm.cpp</a></li>
<li class="footer">Generated by <a href="https://www.doxygen.org/index.html"><img class="footer" src="../../doxygen.svg" width="104" height="31" alt="doxygen"/></a> 1.9.1 </li>
<li class="footer">Generated by <a href="https://www.doxygen.org/index.html"><img class="footer" src="../../doxygen.svg" width="104" height="31" alt="doxygen"/></a> 1.9.2 </li>
</ul>
</div>
</body>