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<div class="title">IntelliHelper.cpp</div> </div>
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<a href="_intelli_helper_8cpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="preprocessor">#include "<a class="code" href="_intelli_helper_8h.html">IntelliHelper.h</a>"</span></div>
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<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="preprocessor">#include <algorithm></span></div>
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<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="preprocessor">#include <queue></span></div>
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<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="preprocessor">#include <cmath></span></div>
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<div class="line"><a name="l00005"></a><span class="lineno"> 5</span>  </div>
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<div class="line"><a name="l00006"></a><span class="lineno"> 6</span>  </div>
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<div class="line"><a name="l00007"></a><span class="lineno"><a class="line" href="namespace_intelli_helper.html#a214dc3624ba4562a03dc922e3dd7b617"> 7</a></span> std::vector<Triangle> <a class="code" href="namespace_intelli_helper.html#a214dc3624ba4562a03dc922e3dd7b617">IntelliHelper::calculateTriangles</a>(std::vector<QPoint> polyPoints){</div>
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<div class="line"><a name="l00008"></a><span class="lineno"> 8</span>  <span class="comment">// helper for managing the triangle vertices and their state</span></div>
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<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  <span class="keyword">struct </span>TriangleHelper {</div>
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<div class="line"><a name="l00010"></a><span class="lineno"> 10</span>  QPoint vertex;</div>
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<div class="line"><a name="l00011"></a><span class="lineno"> 11</span>  <span class="keywordtype">float</span> interiorAngle;</div>
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<div class="line"><a name="l00012"></a><span class="lineno"> 12</span>  <span class="keywordtype">int</span> index;</div>
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<div class="line"><a name="l00013"></a><span class="lineno"> 13</span>  <span class="keywordtype">bool</span> isTip;</div>
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<div class="line"><a name="l00014"></a><span class="lineno"> 14</span>  };</div>
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<div class="line"><a name="l00015"></a><span class="lineno"> 15</span>  </div>
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<div class="line"><a name="l00016"></a><span class="lineno"> 16</span>  <span class="comment">// calculates the inner angle of 'point'</span></div>
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<div class="line"><a name="l00017"></a><span class="lineno"> 17</span>  <span class="keyword">auto</span> calculateInner = [](QPoint& point, QPoint& prev, QPoint& post){</div>
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<div class="line"><a name="l00018"></a><span class="lineno"> 18</span>  QPoint AP(point.x()-prev.x(), point.y()-prev.y());</div>
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<div class="line"><a name="l00019"></a><span class="lineno"> 19</span>  QPoint BP(point.x()-post.x(), point.y()-post.y());</div>
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<div class="line"><a name="l00020"></a><span class="lineno"> 20</span>  </div>
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<div class="line"><a name="l00021"></a><span class="lineno"> 21</span>  <span class="keywordtype">float</span> topSclar = AP.x()*BP.x()+AP.y()*BP.y();</div>
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<div class="line"><a name="l00022"></a><span class="lineno"> 22</span>  <span class="keywordtype">float</span> absolute = sqrt(pow(AP.x(),2.)+pow(AP.y(),2.))*sqrt(pow(BP.x(),2.)+pow(BP.y(),2.));</div>
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<div class="line"><a name="l00023"></a><span class="lineno"> 23</span>  <span class="keywordflow">return</span> acos(topSclar/absolute);</div>
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<div class="line"><a name="l00024"></a><span class="lineno"> 24</span>  };</div>
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<div class="line"><a name="l00025"></a><span class="lineno"> 25</span>  </div>
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<div class="line"><a name="l00026"></a><span class="lineno"> 26</span>  <span class="comment">// gets the first element of vec for which element.isTip == true holds</span></div>
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<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>  <span class="keyword">auto</span> getTip= [](<span class="keyword">const</span> std::vector<TriangleHelper>& vec){</div>
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<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>  <span class="keywordtype">size_t</span> min = 0;</div>
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<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>  <span class="keywordflow">for</span>(<span class="keywordtype">size_t</span> i=0; i<vec.size(); i++) {</div>
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<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>  <span class="keywordflow">if</span>(vec[i].interiorAngle<vec[min].interiorAngle) {</div>
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<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  min = i;</div>
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<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>  }</div>
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<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>  }</div>
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<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  <span class="keywordflow">return</span> vec[min];</div>
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<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  };</div>
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<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  </div>
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<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  <span class="comment">// get the vertex Index bevor index in relation to the container length</span></div>
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<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  <span class="keyword">auto</span> getPrev = [](<span class="keywordtype">int</span> index, <span class="keywordtype">int</span> length){</div>
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<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>  <span class="keywordflow">return</span> (index-1)>=0 ? (index-1) : (length-1);</div>
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<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>  };</div>
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<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  </div>
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<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  <span class="comment">// get the vertex Index after index in relation to the container lenght</span></div>
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<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  <span class="keyword">auto</span> getPost = [](<span class="keywordtype">int</span> index, <span class="keywordtype">int</span> length){</div>
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<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  <span class="keywordflow">return</span> (index+1)%length;</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>
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<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  <span class="comment">// return if the vertex is a tip</span></div>
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<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  <span class="keyword">auto</span> isTip = [](<span class="keywordtype">float</span> angle){</div>
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<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  <span class="keywordflow">return</span> static_cast<double>(angle)<(M_PI/2.);</div>
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<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  };</div>
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<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  </div>
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<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  std::vector<TriangleHelper> Vertices;</div>
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<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  std::vector<Triangle> Triangles;</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>  <span class="comment">// set up all vertices and calculate intirior angle</span></div>
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<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  <span class="keywordflow">for</span>(<span class="keywordtype">int</span> i=0; i<static_cast<int>(polyPoints.size()); i++) {</div>
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<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  TriangleHelper helper;</div>
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<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  <span class="keywordtype">int</span> prev = getPrev(i, static_cast<int>(polyPoints.size()));</div>
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<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  <span class="keywordtype">int</span> post = getPost(i, static_cast<int>(polyPoints.size()));</div>
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<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  </div>
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<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  helper.vertex = polyPoints[static_cast<size_t>(i)];</div>
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<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  helper.index = i;</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>  helper.interiorAngle = calculateInner(polyPoints[static_cast<size_t>(i)],</div>
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<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  polyPoints[static_cast<size_t>(prev)],</div>
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<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  polyPoints[static_cast<size_t>(post)]);</div>
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<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  helper.isTip = isTip(helper.interiorAngle);</div>
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<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  Vertices.push_back(helper);</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>  <span class="comment">// search triangles based on the intirior angles of each vertey</span></div>
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<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  <span class="keywordflow">while</span>(Triangles.size() != polyPoints.size()-2) {</div>
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<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  <a class="code" href="struct_triangle.html">Triangle</a> tri;</div>
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<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  TriangleHelper smallest = getTip(Vertices);</div>
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<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  <span class="keywordtype">int</span> prev = getPrev(smallest.index, static_cast<int>(Vertices.size()));</div>
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<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  <span class="keywordtype">int</span> post = getPost(smallest.index, static_cast<int>(Vertices.size()));</div>
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<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  </div>
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<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  <span class="comment">// set triangle and push it</span></div>
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<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  tri.<a class="code" href="struct_triangle.html#a4fe8b39e0144ebff908b7718c2f2751b">A</a> = Vertices[static_cast<size_t>(prev)].vertex;</div>
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<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  tri.<a class="code" href="struct_triangle.html#a64fa6a90a6131f12a1a3054bf86647d7">B</a> = Vertices[static_cast<size_t>(smallest.index)].vertex;</div>
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<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  tri.<a class="code" href="struct_triangle.html#addb8aaab314d79f3617acca01e12872a">C</a> = Vertices[static_cast<size_t>(post)].vertex;</div>
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<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  Triangles.push_back(tri);</div>
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<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  </div>
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<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  <span class="comment">// update Vertice array</span></div>
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<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  Vertices.erase(Vertices.begin()+smallest.index);</div>
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<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  <span class="keywordflow">for</span>(<span class="keywordtype">size_t</span> i=static_cast<size_t>(smallest.index); i<Vertices.size(); i++) {</div>
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<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  Vertices[i].index-=1;</div>
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<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  }</div>
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<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  </div>
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<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  <span class="comment">// update post und prev index</span></div>
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<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  post = post-1;</div>
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<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  prev = prev<smallest.index ? prev : (prev-1);</div>
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<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  </div>
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<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  <span class="comment">// calcultae neighboors of prev and post to calculate new interior angles</span></div>
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<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  <span class="keywordtype">int</span> prevOfPrev = getPrev(prev, static_cast<int>(Vertices.size()));</div>
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<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  <span class="keywordtype">int</span> postOfPrev = getPost(prev, static_cast<int>(Vertices.size()));</div>
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<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  </div>
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<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  <span class="keywordtype">int</span> prevOfPost = getPrev(post, static_cast<int>(Vertices.size()));</div>
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<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  <span class="keywordtype">int</span> postOfPost = getPost(post, static_cast<int>(Vertices.size()));</div>
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<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  </div>
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<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  <span class="comment">// update vertices with interior angles</span></div>
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<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  <span class="comment">// updtae prev</span></div>
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<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  Vertices[static_cast<size_t>(prev)].interiorAngle = calculateInner(Vertices[static_cast<size_t>(prev)].vertex,</div>
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<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  Vertices[static_cast<size_t>(prevOfPrev)].vertex,</div>
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<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  Vertices[static_cast<size_t>(postOfPrev)].vertex);</div>
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<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  Vertices[static_cast<size_t>(prev)].isTip = isTip(Vertices[static_cast<size_t>(prev)].interiorAngle);</div>
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<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  <span class="comment">// update post</span></div>
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<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  Vertices[static_cast<size_t>(post)].interiorAngle = calculateInner(Vertices[static_cast<size_t>(post)].vertex,</div>
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<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  Vertices[static_cast<size_t>(prevOfPost)].vertex,</div>
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<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  Vertices[static_cast<size_t>(postOfPost)].vertex);</div>
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<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  Vertices[static_cast<size_t>(post)].isTip = isTip(Vertices[static_cast<size_t>(post)].interiorAngle);</div>
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<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  }</div>
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<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  <span class="keywordflow">return</span> Triangles;</div>
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<div class="line"><a name="l00114"></a><span class="lineno"> 114</span> }</div>
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<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  </div>
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<div class="line"><a name="l00116"></a><span class="lineno"><a class="line" href="namespace_intelli_helper.html#a44d516b3e619e2a743e9c98dd75cf901"> 116</a></span> <span class="keywordtype">bool</span> <a class="code" href="namespace_intelli_helper.html#a44d516b3e619e2a743e9c98dd75cf901">IntelliHelper::isInPolygon</a>(std::vector<Triangle> &triangles, QPoint &point){</div>
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<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  <span class="keywordflow">for</span>(<span class="keyword">auto</span> triangle : triangles) {</div>
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<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  <span class="keywordflow">if</span>(<a class="code" href="namespace_intelli_helper.html#a9fcfe72f00e870be4a8ab9f2e17483c9">IntelliHelper::isInTriangle</a>(triangle, point)) {</div>
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<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
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<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  }</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>  <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
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<div class="line"><a name="l00123"></a><span class="lineno"> 123</span> }</div>
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<div class="ttc" id="anamespace_intelli_helper_html_a9fcfe72f00e870be4a8ab9f2e17483c9"><div class="ttname"><a href="namespace_intelli_helper.html#a9fcfe72f00e870be4a8ab9f2e17483c9">IntelliHelper::isInTriangle</a></div><div class="ttdeci">bool isInTriangle(Triangle &tri, QPoint &P)</div><div class="ttdoc">A function to check if a given point is in a triangle.</div><div class="ttdef"><b>Definition:</b> <a href="_intelli_helper_8h_source.html#l00033">IntelliHelper.h:33</a></div></div>
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<div class="ttc" id="a_intelli_helper_8h_html"><div class="ttname"><a href="_intelli_helper_8h.html">IntelliHelper.h</a></div></div>
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<div class="ttc" id="astruct_triangle_html_addb8aaab314d79f3617acca01e12872a"><div class="ttname"><a href="struct_triangle.html#addb8aaab314d79f3617acca01e12872a">Triangle::C</a></div><div class="ttdeci">QPoint C</div><div class="ttdef"><b>Definition:</b> <a href="_intelli_helper_8h_source.html#l00011">IntelliHelper.h:11</a></div></div>
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<div class="ttc" id="astruct_triangle_html"><div class="ttname"><a href="struct_triangle.html">Triangle</a></div><div class="ttdoc">The Triangle struct holds the 3 vertices of a triangle.</div><div class="ttdef"><b>Definition:</b> <a href="_intelli_helper_8h_source.html#l00010">IntelliHelper.h:10</a></div></div>
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<div class="ttc" id="anamespace_intelli_helper_html_a44d516b3e619e2a743e9c98dd75cf901"><div class="ttname"><a href="namespace_intelli_helper.html#a44d516b3e619e2a743e9c98dd75cf901">IntelliHelper::isInPolygon</a></div><div class="ttdeci">bool isInPolygon(std::vector< Triangle > &triangles, QPoint &point)</div><div class="ttdoc">A function to check if a point lies in a polygon by checking its spanning triangles.</div><div class="ttdef"><b>Definition:</b> <a href="_intelli_helper_8cpp_source.html#l00116">IntelliHelper.cpp:116</a></div></div>
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<div class="ttc" id="astruct_triangle_html_a4fe8b39e0144ebff908b7718c2f2751b"><div class="ttname"><a href="struct_triangle.html#a4fe8b39e0144ebff908b7718c2f2751b">Triangle::A</a></div><div class="ttdeci">QPoint A</div><div class="ttdef"><b>Definition:</b> <a href="_intelli_helper_8h_source.html#l00011">IntelliHelper.h:11</a></div></div>
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<div class="ttc" id="anamespace_intelli_helper_html_a214dc3624ba4562a03dc922e3dd7b617"><div class="ttname"><a href="namespace_intelli_helper.html#a214dc3624ba4562a03dc922e3dd7b617">IntelliHelper::calculateTriangles</a></div><div class="ttdeci">std::vector< Triangle > calculateTriangles(std::vector< QPoint > polyPoints)</div><div class="ttdoc">A function to split a polygon in its spanning traingles by using Meisters Theorem of graph theory by ...</div><div class="ttdef"><b>Definition:</b> <a href="_intelli_helper_8cpp_source.html#l00007">IntelliHelper.cpp:7</a></div></div>
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