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<div class="headertitle"><div class="title">jarvis_algorithm.cpp</div></div>
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<a href="../../d4/d8d/jarvis__algorithm_8cpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno"> 1</span> </div>
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<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</span><span class="preprocessor">#include <vector></span></div>
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<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span><span class="preprocessor">#include <cassert></span></div>
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<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span><span class="preprocessor">#include <iostream></span></div>
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<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span> </div>
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<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span><span class="keyword">namespace </span><a class="code hl_namespace" href="../../d5/d5f/namespacegeometry.html">geometry</a> {</div>
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||
<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span> <span class="keyword">namespace </span><a class="code hl_namespace" href="../../d5/da7/namespacejarvis.html">jarvis</a> {</div>
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||
<div class="foldopen" id="foldopen00047" data-start="{" data-end="};">
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||
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"><a class="line" href="../../d9/d5a/structgeometry_1_1jarvis_1_1_point.html"> 47</a></span> <span class="keyword">struct </span><a class="code hl_struct" href="../../d9/d5a/structgeometry_1_1jarvis_1_1_point.html">Point</a> {</div>
|
||
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span> <span class="keywordtype">int</span> x, y;</div>
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<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span> };</div>
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</div>
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<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span> </div>
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<div class="foldopen" id="foldopen00055" data-start="{" data-end="};">
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||
<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"><a class="line" href="../../d4/dde/classgeometry_1_1jarvis_1_1_convexhull.html"> 55</a></span> <span class="keyword">class </span><a class="code hl_class" href="../../d4/dde/classgeometry_1_1jarvis_1_1_convexhull.html">Convexhull</a> {</div>
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||
<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> std::vector<Point> points;</div>
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<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span> <span class="keywordtype">int</span> size;</div>
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<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> </div>
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<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> <span class="keyword">public</span>:</div>
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<div class="foldopen" id="foldopen00066" data-start="{" data-end="}">
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||
<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"><a class="line" href="../../d4/dde/classgeometry_1_1jarvis_1_1_convexhull.html#a8306e48040a8570e164c58d1c530f870"> 66</a></span> <span class="keyword">explicit</span> <a class="code hl_function" href="../../d4/dde/classgeometry_1_1jarvis_1_1_convexhull.html#a8306e48040a8570e164c58d1c530f870">Convexhull</a>(<span class="keyword">const</span> std::vector<Point> &pointList) {</div>
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<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span> points = pointList;</div>
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<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span> size = points.size();</div>
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<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span> }</div>
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</div>
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<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span> </div>
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<div class="foldopen" id="foldopen00078" data-start="{" data-end="}">
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||
<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"><a class="line" href="../../d4/dde/classgeometry_1_1jarvis_1_1_convexhull.html#aeec46e86786ddd461464b07a77c4d5f1"> 78</a></span> std::vector<Point> <a class="code hl_function" href="../../d4/dde/classgeometry_1_1jarvis_1_1_convexhull.html#aeec46e86786ddd461464b07a77c4d5f1">getConvexHull</a>()<span class="keyword"> const </span>{</div>
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||
<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span> <span class="comment">// Initialize Result</span></div>
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||
<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span> std::vector<Point> hull;</div>
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||
<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span> </div>
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<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span> <span class="comment">// Find the leftmost point</span></div>
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||
<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> <span class="keywordtype">int</span> leftmost_point = 0;</div>
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||
<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 1; i < size; i++) {</div>
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||
<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span> <span class="keywordflow">if</span> (points[i].x < points[leftmost_point].x) {</div>
|
||
<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span> leftmost_point = i;</div>
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||
<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span> }</div>
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<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span> }</div>
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||
<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span> <span class="comment">// Start from leftmost point, keep moving counterclockwise</span></div>
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||
<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span> <span class="comment">// until reach the start point again. This loop runs O(h)</span></div>
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||
<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span> <span class="comment">// times where h is number of points in result or output.</span></div>
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||
<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span> <span class="keywordtype">int</span> p = leftmost_point, q = 0;</div>
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<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span> <span class="keywordflow">do</span> {</div>
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<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span> <span class="comment">// Add current point to result</span></div>
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||
<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> hull.push_back(points[p]);</div>
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||
<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span> </div>
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||
<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span> <span class="comment">// Search for a point 'q' such that orientation(p, x, q)</span></div>
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||
<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span> <span class="comment">// is counterclockwise for all points 'x'. The idea</span></div>
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||
<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span> <span class="comment">// is to keep track of last visited most counter clock-</span></div>
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||
<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span> <span class="comment">// wise point in q. If any point 'i' is more counter clock-</span></div>
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||
<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span> <span class="comment">// wise than q, then update q.</span></div>
|
||
<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span> q = (p + 1) % size;</div>
|
||
<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < size; i++) {</div>
|
||
<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span> <span class="comment">// If i is more counterclockwise than current q, then</span></div>
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||
<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span> <span class="comment">// update q</span></div>
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||
<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span> <span class="keywordflow">if</span> (<a class="code hl_function" href="../../d4/dde/classgeometry_1_1jarvis_1_1_convexhull.html#a54df5f9a8f37170bd97c91127664655c">orientation</a>(points[p], points[i], points[q]) == 2) {</div>
|
||
<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</span> q = i;</div>
|
||
<div class="line"><a id="l00108" name="l00108"></a><span class="lineno"> 108</span> }</div>
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||
<div class="line"><a id="l00109" name="l00109"></a><span class="lineno"> 109</span> }</div>
|
||
<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"> 110</span> </div>
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||
<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span> <span class="comment">// Now q is the most counterclockwise with respect to p</span></div>
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||
<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span> <span class="comment">// Set p as q for next iteration, so that q is added to</span></div>
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||
<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span> <span class="comment">// result 'hull'</span></div>
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||
<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span> p = q;</div>
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||
<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"> 115</span> </div>
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||
<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"> 116</span> } <span class="keywordflow">while</span> (p != leftmost_point); <span class="comment">// While we don't come to first point</span></div>
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||
<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"> 117</span> </div>
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||
<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span> <span class="keywordflow">return</span> hull;</div>
|
||
<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</span> }</div>
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</div>
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||
<div class="line"><a id="l00120" name="l00120"></a><span class="lineno"> 120</span> </div>
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||
<div class="foldopen" id="foldopen00133" data-start="{" data-end="}">
|
||
<div class="line"><a id="l00133" name="l00133"></a><span class="lineno"><a class="line" href="../../d4/dde/classgeometry_1_1jarvis_1_1_convexhull.html#a54df5f9a8f37170bd97c91127664655c"> 133</a></span> <span class="keyword">static</span> <span class="keywordtype">int</span> <a class="code hl_function" href="../../d4/dde/classgeometry_1_1jarvis_1_1_convexhull.html#a54df5f9a8f37170bd97c91127664655c">orientation</a>(<span class="keyword">const</span> <a class="code hl_struct" href="../../d9/d5a/structgeometry_1_1jarvis_1_1_point.html">Point</a> &p, <span class="keyword">const</span> <a class="code hl_struct" href="../../d9/d5a/structgeometry_1_1jarvis_1_1_point.html">Point</a> &q, <span class="keyword">const</span> <a class="code hl_struct" href="../../d9/d5a/structgeometry_1_1jarvis_1_1_point.html">Point</a> &r) {</div>
|
||
<div class="line"><a id="l00134" name="l00134"></a><span class="lineno"> 134</span> <span class="keywordtype">int</span> val = (q.y - p.y) * (r.x - q.x) - (q.x - p.x) * (r.y - q.y);</div>
|
||
<div class="line"><a id="l00135" name="l00135"></a><span class="lineno"> 135</span> </div>
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||
<div class="line"><a id="l00136" name="l00136"></a><span class="lineno"> 136</span> <span class="keywordflow">if</span> (val == 0) {</div>
|
||
<div class="line"><a id="l00137" name="l00137"></a><span class="lineno"> 137</span> <span class="keywordflow">return</span> 0;</div>
|
||
<div class="line"><a id="l00138" name="l00138"></a><span class="lineno"> 138</span> }</div>
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||
<div class="line"><a id="l00139" name="l00139"></a><span class="lineno"> 139</span> <span class="keywordflow">return</span> (val > 0) ? 1 : 2;</div>
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<div class="line"><a id="l00140" name="l00140"></a><span class="lineno"> 140</span> }</div>
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||
</div>
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||
<div class="line"><a id="l00141" name="l00141"></a><span class="lineno"> 141</span> </div>
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<div class="line"><a id="l00142" name="l00142"></a><span class="lineno"> 142</span> };</div>
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</div>
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||
<div class="line"><a id="l00143" name="l00143"></a><span class="lineno"> 143</span> </div>
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||
<div class="line"><a id="l00144" name="l00144"></a><span class="lineno"> 144</span> } <span class="comment">// namespace jarvis</span></div>
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<div class="line"><a id="l00145" name="l00145"></a><span class="lineno"> 145</span>} <span class="comment">// namespace geometry</span></div>
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||
<div class="line"><a id="l00146" name="l00146"></a><span class="lineno"> 146</span> </div>
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||
<div class="foldopen" id="foldopen00151" data-start="{" data-end="}">
|
||
<div class="line"><a id="l00151" name="l00151"></a><span class="lineno"><a class="line" href="../../d4/d8d/jarvis__algorithm_8cpp.html#aa8dca7b867074164d5f45b0f3851269d"> 151</a></span><span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code hl_function" href="../../d4/d8d/jarvis__algorithm_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>() {</div>
|
||
<div class="line"><a id="l00152" name="l00152"></a><span class="lineno"> 152</span> std::vector<geometry::jarvis::Point> points = {{0, 3},</div>
|
||
<div class="line"><a id="l00153" name="l00153"></a><span class="lineno"> 153</span> {2, 2},</div>
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||
<div class="line"><a id="l00154" name="l00154"></a><span class="lineno"> 154</span> {1, 1},</div>
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||
<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> std::vector<geometry::jarvis::Point> actualPoint;</div>
|
||
<div class="line"><a id="l00162" name="l00162"></a><span class="lineno"> 162</span> actualPoint = hull.<a class="code hl_function" href="../../d4/dde/classgeometry_1_1jarvis_1_1_convexhull.html#aeec46e86786ddd461464b07a77c4d5f1">getConvexHull</a>();</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> std::vector<geometry::jarvis::Point> expectedPoint = {{0, 3},</div>
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||
<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>
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||
<div class="line"><a id="l00167" name="l00167"></a><span class="lineno"> 167</span> {3, 3}};</div>
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||
<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 < expectedPoint.size(); i++) {</div>
|
||
<div class="line"><a id="l00169" name="l00169"></a><span class="lineno"> 169</span> assert(actualPoint[i].x == expectedPoint[i].x);</div>
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||
<div class="line"><a id="l00170" name="l00170"></a><span class="lineno"> 170</span> assert(actualPoint[i].y == expectedPoint[i].y);</div>
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||
<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> std::cout << <span class="stringliteral">"Test implementations passed!\n"</span>;</div>
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||
<div class="line"><a id="l00173" name="l00173"></a><span class="lineno"> 173</span>}</div>
|
||
</div>
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||
<div class="line"><a id="l00174" name="l00174"></a><span class="lineno"> 174</span> </div>
|
||
<div class="foldopen" id="foldopen00176" data-start="{" data-end="}">
|
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<div class="line"><a id="l00176" name="l00176"></a><span class="lineno"><a class="line" href="../../d4/d8d/jarvis__algorithm_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4"> 176</a></span><span class="keywordtype">int</span> <a class="code hl_function" href="../../d4/d8d/jarvis__algorithm_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a>() {</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>
|
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<div class="line"><a id="l00179" name="l00179"></a><span class="lineno"> 179</span>}</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> <a href="#l00055">jarvis_algorithm.cpp:55</a></div></div>
|
||
<div class="ttc" id="aclassgeometry_1_1jarvis_1_1_convexhull_html_a54df5f9a8f37170bd97c91127664655c"><div class="ttname"><a href="../../d4/dde/classgeometry_1_1jarvis_1_1_convexhull.html#a54df5f9a8f37170bd97c91127664655c">geometry::jarvis::Convexhull::orientation</a></div><div class="ttdeci">static int orientation(const Point &p, const Point &q, const Point &r)</div><div class="ttdef"><b>Definition</b> <a href="#l00133">jarvis_algorithm.cpp:133</a></div></div>
|
||
<div class="ttc" id="aclassgeometry_1_1jarvis_1_1_convexhull_html_a8306e48040a8570e164c58d1c530f870"><div class="ttname"><a href="../../d4/dde/classgeometry_1_1jarvis_1_1_convexhull.html#a8306e48040a8570e164c58d1c530f870">geometry::jarvis::Convexhull::Convexhull</a></div><div class="ttdeci">Convexhull(const std::vector< Point > &pointList)</div><div class="ttdef"><b>Definition</b> <a href="#l00066">jarvis_algorithm.cpp:66</a></div></div>
|
||
<div class="ttc" id="aclassgeometry_1_1jarvis_1_1_convexhull_html_aeec46e86786ddd461464b07a77c4d5f1"><div class="ttname"><a href="../../d4/dde/classgeometry_1_1jarvis_1_1_convexhull.html#aeec46e86786ddd461464b07a77c4d5f1">geometry::jarvis::Convexhull::getConvexHull</a></div><div class="ttdeci">std::vector< Point > getConvexHull() const</div><div class="ttdef"><b>Definition</b> <a href="#l00078">jarvis_algorithm.cpp:78</a></div></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> <a href="#l00151">jarvis_algorithm.cpp:151</a></div></div>
|
||
<div class="ttc" id="ajarvis__algorithm_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../d4/d8d/jarvis__algorithm_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdef"><b>Definition</b> <a href="#l00176">jarvis_algorithm.cpp:176</a></div></div>
|
||
<div class="ttc" id="anamespacegeometry_html"><div class="ttname"><a href="../../d5/d5f/namespacegeometry.html">geometry</a></div><div class="ttdoc">for std::swap</div><div class="ttdef"><b>Definition</b> <a href="../../de/d89/graham__scan__functions_8hpp_source.html#l00052">graham_scan_functions.hpp:52</a></div></div>
|
||
<div class="ttc" id="anamespacejarvis_html"><div class="ttname"><a href="../../d5/da7/namespacejarvis.html">jarvis</a></div><div class="ttdoc">Functions for Jarvis’s algorithm.</div></div>
|
||
<div class="ttc" id="astructgeometry_1_1jarvis_1_1_point_html"><div class="ttname"><a href="../../d9/d5a/structgeometry_1_1jarvis_1_1_point.html">geometry::jarvis::Point</a></div><div class="ttdef"><b>Definition</b> <a href="#l00047">jarvis_algorithm.cpp:47</a></div></div>
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