1 | /*
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2 | * tesselation.hpp
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3 | *
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4 | * The tesselation class is meant to contain the envelope (concave, convex or neither) of a set of Vectors. As we actually mean this stuff for atoms, we have to encapsulate it all a bit.
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5 | *
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6 | * Created on: Aug 3, 2009
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7 | * Author: heber
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8 | */
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9 |
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10 | #ifndef TESSELATION_HPP_
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11 | #define TESSELATION_HPP_
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12 |
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13 | using namespace std;
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14 |
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15 | /*********************************************** includes ***********************************/
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16 |
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17 | // include config.h
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18 | #ifdef HAVE_CONFIG_H
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19 | #include <config.h>
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20 | #endif
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21 |
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22 | #include <map>
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23 | #include <list>
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24 | #include <set>
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25 | #include <stack>
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26 |
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27 | #include "atom_particleinfo.hpp"
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28 | #include "helpers.hpp"
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29 | #include "vector.hpp"
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30 |
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31 | /****************************************** forward declarations *****************************/
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32 |
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33 | class BoundaryPointSet;
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34 | class BoundaryLineSet;
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35 | class BoundaryTriangleSet;
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36 | class LinkedCell;
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37 | class TesselPoint;
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38 | class PointCloud;
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39 | class Tesselation;
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40 |
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41 | /********************************************** definitions *********************************/
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42 |
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43 | #define DoTecplotOutput 1
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44 | #define DoRaster3DOutput 1
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45 | #define DoVRMLOutput 1
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46 | #define TecplotSuffix ".dat"
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47 | #define Raster3DSuffix ".r3d"
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48 | #define VRMLSUffix ".wrl"
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49 |
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50 | // ======================================================= some template functions =========================================
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51 |
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52 | #define PointMap map < int, class BoundaryPointSet * >
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53 | #define PointSet set < class BoundaryPointSet * >
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54 | #define PointList list < class BoundaryPointSet * >
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55 | #define PointPair pair < int, class BoundaryPointSet * >
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56 | #define PointTestPair pair < PointMap::iterator, bool >
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57 |
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58 | #define CandidateList list <class CandidateForTesselation *>
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59 | #define CandidateMap map <class BoundaryLineSet *, class CandidateForTesselation *>
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60 |
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61 | #define LineMap multimap < int, class BoundaryLineSet * >
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62 | #define LineSet set < class BoundaryLineSet * >
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63 | #define LineList list < class BoundaryLineSet * >
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64 | #define LinePair pair < int, class BoundaryLineSet * >
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65 | #define LineTestPair pair < LineMap::iterator, bool >
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66 |
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67 | #define TriangleMap map < int, class BoundaryTriangleSet * >
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68 | #define TriangleSet set < class BoundaryTriangleSet * >
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69 | #define TriangleList list < class BoundaryTriangleSet * >
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70 | #define TrianglePair pair < int, class BoundaryTriangleSet * >
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71 | #define TriangleTestPair pair < TrianglePair::iterator, bool >
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72 |
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73 | #define PolygonMap map < int, class BoundaryPolygonSet * >
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74 | #define PolygonSet set < class BoundaryPolygonSet * >
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75 | #define PolygonList list < class BoundaryPolygonSet * >
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76 |
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77 | #define DistanceMultiMap multimap <double, pair < PointMap::iterator, PointMap::iterator> >
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78 | #define DistanceMultiMapPair pair <double, pair < PointMap::iterator, PointMap::iterator> >
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79 |
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80 | #define TesselPointList list <TesselPoint *>
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81 | #define TesselPointSet set <TesselPoint *>
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82 |
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83 | /********************************************** declarations *******************************/
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84 |
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85 | template <typename T> void SetEndpointsOrdered(T endpoints[2], T endpoint1, T endpoint2)
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86 | {
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87 | if (endpoint1->Nr < endpoint2->Nr) {
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88 | endpoints[0] = endpoint1;
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89 | endpoints[1] = endpoint2;
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90 | } else {
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91 | endpoints[0] = endpoint2;
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92 | endpoints[1] = endpoint1;
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93 | }
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94 | };
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95 |
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96 | // ======================================================== class BoundaryPointSet =========================================
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97 |
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98 | class BoundaryPointSet {
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99 | public:
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100 | BoundaryPointSet();
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101 | BoundaryPointSet(TesselPoint * Walker);
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102 | ~BoundaryPointSet();
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103 |
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104 | void AddLine(class BoundaryLineSet *line);
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105 |
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106 | LineMap lines;
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107 | int LinesCount;
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108 | TesselPoint *node;
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109 | double value;
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110 | int Nr;
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111 | };
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112 |
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113 | ostream & operator << (ostream &ost, const BoundaryPointSet &a);
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114 |
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115 | // ======================================================== class BoundaryLineSet ==========================================
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116 |
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117 | class BoundaryLineSet {
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118 | public:
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119 | BoundaryLineSet();
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120 | BoundaryLineSet(class BoundaryPointSet *Point[2], const int number);
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121 | ~BoundaryLineSet();
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122 |
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123 | void AddTriangle(class BoundaryTriangleSet *triangle);
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124 | bool IsConnectedTo(class BoundaryLineSet *line);
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125 | bool ContainsBoundaryPoint(class BoundaryPointSet *point);
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126 | bool CheckConvexityCriterion();
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127 | class BoundaryPointSet *GetOtherEndpoint(class BoundaryPointSet *);
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128 |
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129 | class BoundaryPointSet *endpoints[2];
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130 | TriangleMap triangles;
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131 | int Nr;
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132 | bool skipped;
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133 | };
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134 |
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135 | ostream & operator << (ostream &ost, const BoundaryLineSet &a);
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136 |
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137 | // ======================================================== class BoundaryTriangleSet =======================================
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138 |
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139 | class BoundaryTriangleSet {
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140 | public:
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141 | BoundaryTriangleSet();
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142 | BoundaryTriangleSet(class BoundaryLineSet *line[3], int number);
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143 | ~BoundaryTriangleSet();
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144 |
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145 | void GetNormalVector(Vector &NormalVector);
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146 | void GetCenter(Vector *center);
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147 | bool GetIntersectionInsideTriangle(Vector *MolCenter, Vector *x, Vector *Intersection);
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148 | bool ContainsBoundaryLine(class BoundaryLineSet *line);
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149 | bool ContainsBoundaryPoint(class BoundaryPointSet *point);
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150 | bool ContainsBoundaryPoint(class TesselPoint *point);
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151 | class BoundaryPointSet *GetThirdEndpoint(class BoundaryLineSet *line);
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152 | bool IsPresentTupel(class BoundaryPointSet *Points[3]);
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153 | bool IsPresentTupel(class BoundaryTriangleSet *T);
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154 |
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155 | class BoundaryPointSet *endpoints[3];
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156 | class BoundaryLineSet *lines[3];
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157 | Vector NormalVector;
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158 | int Nr;
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159 | };
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160 |
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161 | ostream & operator << (ostream &ost, const BoundaryTriangleSet &a);
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162 |
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163 |
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164 | // ======================================================== class BoundaryTriangleSet =======================================
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165 |
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166 | /** Set of BoundaryPointSet.
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167 | * This is just meant as a container for a group of endpoints, extending the node, line, triangle concept. However, this has
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168 | * only marginally something to do with the tesselation. Hence, there is no incorporation into the bookkeeping of the Tesselation
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169 | * class (i.e. no allocation, no deletion).
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170 | * \note we assume that the set of endpoints reside (more or less) on a plane.
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171 | */
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172 | class BoundaryPolygonSet {
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173 | public:
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174 | BoundaryPolygonSet();
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175 | ~BoundaryPolygonSet();
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176 |
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177 | Vector * GetNormalVector(const Vector &NormalVector) const;
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178 | void GetCenter(Vector *center) const;
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179 | bool ContainsBoundaryLine(const BoundaryLineSet * const line) const;
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180 | bool ContainsBoundaryPoint(const BoundaryPointSet * const point) const;
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181 | bool ContainsBoundaryPoint(const TesselPoint * const point) const;
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182 | bool ContainsBoundaryTriangle(const BoundaryTriangleSet * const point) const;
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183 | bool ContainsPresentTupel(const BoundaryPointSet * const * Points, const int dim) const;
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184 | bool ContainsPresentTupel(const BoundaryPolygonSet * const P) const;
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185 | bool ContainsPresentTupel(const PointSet &endpoints) const;
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186 | TriangleSet * GetAllContainedTrianglesFromEndpoints() const;
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187 | bool FillPolygonFromTrianglesOfLine(const BoundaryLineSet * const line);
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188 |
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189 | PointSet endpoints;
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190 | int Nr;
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191 | };
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192 |
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193 | ostream & operator << (ostream &ost, const BoundaryPolygonSet &a);
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194 |
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195 | // =========================================================== class TESSELPOINT ===========================================
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196 |
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197 | /** Is a single point of the set of Vectors, also a super-class to be inherited and and its functions to be implemented.
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198 | */
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199 | class TesselPoint : virtual public ParticleInfo {
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200 | public:
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201 | TesselPoint();
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202 | virtual ~TesselPoint();
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203 |
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204 | Vector *node; // pointer to position of the dot in space
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205 |
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206 | virtual ostream & operator << (ostream &ost);
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207 | };
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208 |
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209 | ostream & operator << (ostream &ost, const TesselPoint &a);
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210 |
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211 | // =========================================================== class POINTCLOUD ============================================
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212 |
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213 | /** Super-class for all point clouds structures, also molecules. They have to inherit this structure and implement the virtual function to access the Vectors.
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214 | * This basically encapsulates a list structure.
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215 | */
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216 | class PointCloud {
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217 | public:
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218 | PointCloud();
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219 | virtual ~PointCloud();
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220 |
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221 | virtual const char * const GetName() const { return "unknown"; };
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222 | virtual Vector *GetCenter() const { return NULL; };
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223 | virtual TesselPoint *GetPoint() const { return NULL; };
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224 | virtual TesselPoint *GetTerminalPoint() const { return NULL; };
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225 | virtual void GoToNext() const {};
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226 | virtual void GoToPrevious() const {};
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227 | virtual void GoToFirst() const {};
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228 | virtual void GoToLast() const {};
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229 | virtual bool IsEmpty() const { return true; };
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230 | virtual bool IsEnd() const { return true; };
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231 | };
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232 |
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233 | // ======================================================== class CandidateForTesselation =========================================
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234 |
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235 | class CandidateForTesselation {
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236 | public :
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237 | CandidateForTesselation(BoundaryLineSet* currentBaseLine);
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238 | CandidateForTesselation(TesselPoint* candidate, BoundaryLineSet* currentBaseLine, Vector OptCandidateCenter, Vector OtherOptCandidateCenter);
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239 | ~CandidateForTesselation();
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240 |
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241 | TesselPointList pointlist;
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242 | BoundaryLineSet *BaseLine;
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243 | Vector OptCenter;
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244 | Vector OtherOptCenter;
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245 | double ShortestAngle;
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246 | double OtherShortestAngle;
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247 | };
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248 |
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249 | ostream & operator <<(ostream &ost, const CandidateForTesselation &a);
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250 |
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251 | // =========================================================== class TESSELATION ===========================================
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252 |
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253 | /** Contains the envelope to a PointCloud.
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254 | */
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255 | class Tesselation : public PointCloud {
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256 | public:
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257 |
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258 | Tesselation();
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259 | virtual ~Tesselation();
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260 |
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261 | void AddTesselationPoint(TesselPoint* Candidate, const int n);
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262 | void SetTesselationPoint(TesselPoint* Candidate, const int n) const;
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263 | void AddTesselationLine(class BoundaryPointSet *a, class BoundaryPointSet *b, const int n);
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264 | void AlwaysAddTesselationTriangleLine(class BoundaryPointSet *a, class BoundaryPointSet *b, const int n);
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265 | void AddTesselationTriangle();
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266 | void AddTesselationTriangle(const int nr);
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267 | void AddCandidateTriangle(CandidateForTesselation CandidateLine);
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268 | void RemoveTesselationTriangle(class BoundaryTriangleSet *triangle);
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269 | void RemoveTesselationLine(class BoundaryLineSet *line);
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270 | void RemoveTesselationPoint(class BoundaryPointSet *point);
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271 |
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272 |
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273 | // concave envelope
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274 | void FindStartingTriangle(const double RADIUS, const LinkedCell *LC);
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275 | void FindSecondPointForTesselation(class TesselPoint* a, Vector Oben, class TesselPoint*& OptCandidate, double Storage[3], double RADIUS, const LinkedCell *LC);
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276 | void FindThirdPointForTesselation(Vector &NormalVector, Vector &SearchDirection, Vector &OldSphereCenter, CandidateForTesselation &CandidateLine, const class TesselPoint * const ThirdNode, const double RADIUS, const LinkedCell *LC) const;
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277 | bool FindNextSuitableTriangle(CandidateForTesselation &CandidateLine, BoundaryTriangleSet &T, const double& RADIUS, const LinkedCell *LC);
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278 | int CheckPresenceOfTriangle(class TesselPoint *Candidates[3]) const;
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279 | class BoundaryTriangleSet * GetPresentTriangle(TesselPoint *Candidates[3]);
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280 |
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281 | // convex envelope
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282 | void TesselateOnBoundary(const PointCloud * const cloud);
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283 | void GuessStartingTriangle();
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284 | bool InsertStraddlingPoints(const PointCloud *cloud, const LinkedCell *LC);
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285 | double RemovePointFromTesselatedSurface(class BoundaryPointSet *point);
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286 | class BoundaryLineSet * FlipBaseline(class BoundaryLineSet *Base);
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287 | double PickFarthestofTwoBaselines(class BoundaryLineSet *Base);
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288 | class BoundaryPointSet *IsConvexRectangle(class BoundaryLineSet *Base);
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289 | map<int, int> * FindAllDegeneratedTriangles();
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290 | map<int, int> * FindAllDegeneratedLines();
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291 | void RemoveDegeneratedTriangles();
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292 | void AddBoundaryPointByDegeneratedTriangle(class TesselPoint *point, LinkedCell *LC);
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293 | int CorrectAllDegeneratedPolygons();
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294 |
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295 | set<TesselPoint*> * GetAllConnectedPoints(const TesselPoint* const Point) const;
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296 | set<BoundaryTriangleSet*> *GetAllTriangles(const BoundaryPointSet * const Point) const;
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297 | list<list<TesselPoint*> *> * GetPathsOfConnectedPoints(const TesselPoint* const Point) const;
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298 | list<list<TesselPoint*> *> * GetClosedPathsOfConnectedPoints(const TesselPoint* const Point) const;
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299 | list<TesselPoint*> * GetCircleOfSetOfPoints(set<TesselPoint*> *SetOfNeighbours, const TesselPoint* const Point, const Vector * const Reference = NULL) const;
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300 | class BoundaryPointSet *GetCommonEndpoint(const BoundaryLineSet * line1, const BoundaryLineSet * line2) const;
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301 | list<BoundaryTriangleSet*> *FindTriangles(const TesselPoint* const Points[3]) const;
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302 | list<BoundaryTriangleSet*> * FindClosestTrianglesToPoint(const Vector *x, const LinkedCell* LC) const;
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303 | class BoundaryTriangleSet * FindClosestTriangleToPoint(const Vector *x, const LinkedCell* LC) const;
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304 | bool IsInnerPoint(const Vector &Point, const LinkedCell* const LC) const;
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305 | bool IsInnerPoint(const TesselPoint * const Point, const LinkedCell* const LC) const;
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306 | bool AddBoundaryPoint(TesselPoint * Walker, const int n);
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307 |
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308 | // print for debugging
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309 | void PrintAllBoundaryPoints(ofstream *out) const;
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310 | void PrintAllBoundaryLines(ofstream *out) const;
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311 | void PrintAllBoundaryTriangles(ofstream *out) const;
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312 |
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313 | // store envelope in file
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314 | void Output(const char *filename, const PointCloud * const cloud);
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315 |
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316 | PointMap PointsOnBoundary;
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317 | LineMap LinesOnBoundary;
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318 | CandidateMap OpenLines;
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319 | TriangleMap TrianglesOnBoundary;
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320 | int PointsOnBoundaryCount;
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321 | int LinesOnBoundaryCount;
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322 | int TrianglesOnBoundaryCount;
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323 |
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324 | // PointCloud implementation for PointsOnBoundary
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325 | virtual Vector *GetCenter(ofstream *out) const;
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326 | virtual TesselPoint *GetPoint() const;
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327 | virtual TesselPoint *GetTerminalPoint() const;
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328 | virtual void GoToNext() const;
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329 | virtual void GoToPrevious() const;
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330 | virtual void GoToFirst() const;
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331 | virtual void GoToLast() const;
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332 | virtual bool IsEmpty() const;
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333 | virtual bool IsEnd() const;
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334 |
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335 | class BoundaryPointSet *BPS[2];
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336 | class BoundaryLineSet *BLS[3];
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337 | class BoundaryTriangleSet *BTS;
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338 | class BoundaryTriangleSet *LastTriangle;
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339 | int TriangleFilesWritten;
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340 |
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341 | private:
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342 | mutable class BoundaryPointSet *TPS[3]; //this is a Storage for pointers to triangle points, this and BPS[2] needed due to AddLine restrictions
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343 |
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344 | mutable PointMap::const_iterator InternalPointer;
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345 |
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346 | //bool HasOtherBaselineBetterCandidate(const BoundaryLineSet * const BaseRay, const TesselPoint * const OptCandidate, double ShortestAngle, double RADIUS, const LinkedCell * const LC) const;
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347 | };
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348 |
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349 |
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350 | #endif /* TESSELATION_HPP_ */
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