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<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 />
<code>#include &lt;iostream&gt;</code><br />
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Include dependency graph for jarvis_algorithm.cpp:</div>
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<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>
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<tr class="memitem:"><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>
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<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" 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_md76"></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" target="_blank">Rishabh Agarwal</a> </dd></dl>
</div><h2 class="groupheader">Function Documentation</h2>
<a id="ae66f6b31b5ad750f1fe042a706a4e3d4" name="ae66f6b31b5ad750f1fe042a706a4e3d4"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ae66f6b31b5ad750f1fe042a706a4e3d4">&#9670;&#160;</a></span>main()</h2>
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<p>Driver Code </p>
<div class="fragment"><div class="line"><span class="lineno"> 176</span> {</div>
<div class="line"><span class="lineno"> 177</span> <a class="code hl_function" href="#aa8dca7b867074164d5f45b0f3851269d">test</a>();</div>
<div class="line"><span class="lineno"> 178</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 179</span>}</div>
<div class="ttc" id="ajarvis__algorithm_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="#aa8dca7b867074164d5f45b0f3851269d">test</a></div><div class="ttdeci">static void test()</div><div class="ttdef"><b>Definition</b> jarvis_algorithm.cpp:151</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#aa8dca7b867074164d5f45b0f3851269d">&#9670;&#160;</a></span>test()</h2>
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<p>Test function </p><dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 151</span> {</div>
<div class="line"><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"><span class="lineno"> 153</span> {2, 2},</div>
<div class="line"><span class="lineno"> 154</span> {1, 1},</div>
<div class="line"><span class="lineno"> 155</span> {2, 1},</div>
<div class="line"><span class="lineno"> 156</span> {3, 0},</div>
<div class="line"><span class="lineno"> 157</span> {0, 0},</div>
<div class="line"><span class="lineno"> 158</span> {3, 3}</div>
<div class="line"><span class="lineno"> 159</span> };</div>
<div class="line"><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"><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"><span class="lineno"> 162</span> actualPoint = hull.getConvexHull();</div>
<div class="line"><span class="lineno"> 163</span> </div>
<div class="line"><span class="lineno"> 164</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;geometry::jarvis::Point&gt;</a> expectedPoint = {{0, 3},</div>
<div class="line"><span class="lineno"> 165</span> {0, 0},</div>
<div class="line"><span class="lineno"> 166</span> {3, 0},</div>
<div class="line"><span class="lineno"> 167</span> {3, 3}};</div>
<div class="line"><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"><span class="lineno"> 169</span> assert(actualPoint[i].x == expectedPoint[i].x);</div>
<div class="line"><span class="lineno"> 170</span> assert(actualPoint[i].y == expectedPoint[i].y);</div>
<div class="line"><span class="lineno"> 171</span> }</div>
<div class="line"><span class="lineno"> 172</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Test implementations passed!\n&quot;</span>;</div>
<div class="line"><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>
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