| 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 | #define ParallelEpsilon 1e-3 | 
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| 51 |  | 
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| 52 | // ======================================================= some template functions ========================================= | 
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| 53 |  | 
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| 54 | #define PointMap map < int, class BoundaryPointSet * > | 
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| 55 | #define PointSet set < class BoundaryPointSet * > | 
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| 56 | #define PointList list < class BoundaryPointSet * > | 
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| 57 | #define PointPair pair < int, class BoundaryPointSet * > | 
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| 58 | #define PointTestPair pair < PointMap::iterator, bool > | 
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| 59 |  | 
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| 60 | #define CandidateList list <class CandidateForTesselation *> | 
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| 61 | #define CandidateMap map <class BoundaryLineSet *, class CandidateForTesselation *> | 
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| 62 |  | 
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| 63 | #define LineMap multimap < int, class BoundaryLineSet * > | 
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| 64 | #define LineSet set < class BoundaryLineSet * > | 
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| 65 | #define LineList list < class BoundaryLineSet * > | 
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| 66 | #define LinePair pair < int, class BoundaryLineSet * > | 
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| 67 | #define LineTestPair pair < LineMap::iterator, bool > | 
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| 68 |  | 
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| 69 | #define TriangleMap map < int, class BoundaryTriangleSet * > | 
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| 70 | #define TriangleSet set < class BoundaryTriangleSet * > | 
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| 71 | #define TriangleList list < class BoundaryTriangleSet * > | 
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| 72 | #define TrianglePair pair < int, class BoundaryTriangleSet * > | 
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| 73 | #define TriangleTestPair pair < TrianglePair::iterator, bool > | 
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| 74 |  | 
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| 75 | #define PolygonMap map < int, class BoundaryPolygonSet * > | 
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| 76 | #define PolygonSet set < class BoundaryPolygonSet * > | 
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| 77 | #define PolygonList list < class BoundaryPolygonSet * > | 
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| 78 |  | 
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| 79 | #define DistanceMultiMap multimap <double, pair < PointMap::iterator, PointMap::iterator> > | 
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| 80 | #define DistanceMultiMapPair pair <double, pair < PointMap::iterator, PointMap::iterator> > | 
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| 81 |  | 
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| 82 | #define TesselPointList list <TesselPoint *> | 
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| 83 | #define TesselPointSet set <TesselPoint *> | 
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| 84 |  | 
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| 85 | /********************************************** declarations *******************************/ | 
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| 86 |  | 
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| 87 | template <typename T> void SetEndpointsOrdered(T endpoints[2], T endpoint1, T endpoint2) | 
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| 88 | { | 
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| 89 | if (endpoint1->Nr < endpoint2->Nr) { | 
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| 90 | endpoints[0] = endpoint1; | 
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| 91 | endpoints[1] = endpoint2; | 
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| 92 | } else { | 
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| 93 | endpoints[0] = endpoint2; | 
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| 94 | endpoints[1] = endpoint1; | 
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| 95 | } | 
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| 96 | }; | 
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| 97 |  | 
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| 98 | // ======================================================== class BoundaryPointSet ========================================= | 
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| 99 |  | 
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| 100 | class BoundaryPointSet { | 
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| 101 | public: | 
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| 102 | BoundaryPointSet(); | 
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| 103 | BoundaryPointSet(TesselPoint * Walker); | 
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| 104 | ~BoundaryPointSet(); | 
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| 105 |  | 
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| 106 | void AddLine(class BoundaryLineSet *line); | 
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| 107 |  | 
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| 108 | LineMap lines; | 
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| 109 | int LinesCount; | 
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| 110 | TesselPoint *node; | 
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| 111 | double value; | 
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| 112 | int Nr; | 
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| 113 | }; | 
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| 114 |  | 
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| 115 | ostream & operator << (ostream &ost, const BoundaryPointSet &a); | 
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| 116 |  | 
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| 117 | // ======================================================== class BoundaryLineSet ========================================== | 
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| 118 |  | 
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| 119 | class BoundaryLineSet { | 
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| 120 | public: | 
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| 121 | BoundaryLineSet(); | 
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| 122 | BoundaryLineSet(class BoundaryPointSet *Point[2], const int number); | 
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| 123 | ~BoundaryLineSet(); | 
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| 124 |  | 
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| 125 | void AddTriangle(class BoundaryTriangleSet *triangle); | 
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| 126 | bool IsConnectedTo(class BoundaryLineSet *line); | 
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| 127 | bool ContainsBoundaryPoint(class BoundaryPointSet *point); | 
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| 128 | bool CheckConvexityCriterion(); | 
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| 129 | class BoundaryPointSet *GetOtherEndpoint(class BoundaryPointSet *); | 
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| 130 |  | 
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| 131 | class BoundaryPointSet *endpoints[2]; | 
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| 132 | TriangleMap triangles; | 
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| 133 | int Nr; | 
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| 134 | bool skipped; | 
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| 135 | }; | 
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| 136 |  | 
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| 137 | ostream & operator << (ostream &ost, const BoundaryLineSet &a); | 
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| 138 |  | 
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| 139 | // ======================================================== class BoundaryTriangleSet ======================================= | 
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| 140 |  | 
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| 141 | class BoundaryTriangleSet { | 
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| 142 | public: | 
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| 143 | BoundaryTriangleSet(); | 
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| 144 | BoundaryTriangleSet(class BoundaryLineSet *line[3], int number); | 
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| 145 | ~BoundaryTriangleSet(); | 
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| 146 |  | 
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| 147 | void GetNormalVector(Vector &NormalVector); | 
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| 148 | void GetCenter(Vector *center); | 
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| 149 | bool GetIntersectionInsideTriangle(Vector *MolCenter, Vector *x, Vector *Intersection); | 
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| 150 | bool ContainsBoundaryLine(class BoundaryLineSet *line); | 
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| 151 | bool ContainsBoundaryPoint(class BoundaryPointSet *point); | 
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| 152 | bool ContainsBoundaryPoint(class TesselPoint *point); | 
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| 153 | class BoundaryPointSet *GetThirdEndpoint(class BoundaryLineSet *line); | 
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| 154 | bool IsPresentTupel(class BoundaryPointSet *Points[3]); | 
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| 155 | bool IsPresentTupel(class BoundaryTriangleSet *T); | 
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| 156 |  | 
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| 157 | class BoundaryPointSet *endpoints[3]; | 
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| 158 | class BoundaryLineSet *lines[3]; | 
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| 159 | Vector NormalVector; | 
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| 160 | Vector SphereCenter; | 
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| 161 | int Nr; | 
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| 162 | }; | 
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| 163 |  | 
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| 164 | ostream & operator << (ostream &ost, const BoundaryTriangleSet &a); | 
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| 165 |  | 
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| 166 |  | 
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| 167 | // ======================================================== class BoundaryTriangleSet ======================================= | 
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| 168 |  | 
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| 169 | /** Set of BoundaryPointSet. | 
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| 170 | * 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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| 171 | * only marginally something to do with the tesselation. Hence, there is no incorporation into the bookkeeping of the Tesselation | 
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| 172 | * class (i.e. no allocation, no deletion). | 
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| 173 | * \note we assume that the set of endpoints reside (more or less) on a plane. | 
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| 174 | */ | 
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| 175 | class BoundaryPolygonSet { | 
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| 176 | public: | 
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| 177 | BoundaryPolygonSet(); | 
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| 178 | ~BoundaryPolygonSet(); | 
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| 179 |  | 
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| 180 | Vector * GetNormalVector(const Vector &NormalVector) const; | 
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| 181 | void GetCenter(Vector *center) const; | 
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| 182 | bool ContainsBoundaryLine(const BoundaryLineSet * const line) const; | 
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| 183 | bool ContainsBoundaryPoint(const BoundaryPointSet * const point) const; | 
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| 184 | bool ContainsBoundaryPoint(const TesselPoint * const point) const; | 
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| 185 | bool ContainsBoundaryTriangle(const BoundaryTriangleSet * const point) const; | 
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| 186 | bool ContainsPresentTupel(const BoundaryPointSet * const * Points, const int dim) const; | 
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| 187 | bool ContainsPresentTupel(const BoundaryPolygonSet * const P) const; | 
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| 188 | bool ContainsPresentTupel(const PointSet &endpoints) const; | 
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| 189 | TriangleSet * GetAllContainedTrianglesFromEndpoints() const; | 
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| 190 | bool FillPolygonFromTrianglesOfLine(const BoundaryLineSet * const line); | 
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| 191 |  | 
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| 192 | PointSet endpoints; | 
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| 193 | int Nr; | 
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| 194 | }; | 
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| 195 |  | 
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| 196 | ostream & operator << (ostream &ost, const BoundaryPolygonSet &a); | 
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| 197 |  | 
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| 198 | // =========================================================== class TESSELPOINT =========================================== | 
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| 199 |  | 
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| 200 | /** 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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| 201 | */ | 
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| 202 | class TesselPoint : virtual public ParticleInfo { | 
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| 203 | public: | 
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| 204 | TesselPoint(); | 
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| 205 | virtual ~TesselPoint(); | 
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| 206 |  | 
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| 207 | Vector *node;   // pointer to position of the dot in space | 
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| 208 |  | 
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| 209 | virtual ostream & operator << (ostream &ost); | 
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| 210 | }; | 
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| 211 |  | 
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| 212 | ostream & operator << (ostream &ost, const TesselPoint &a); | 
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| 213 |  | 
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| 214 | // =========================================================== class POINTCLOUD ============================================ | 
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| 215 |  | 
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| 216 | /** 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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| 217 | * This basically encapsulates a list structure. | 
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| 218 | */ | 
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| 219 | class PointCloud { | 
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| 220 | public: | 
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| 221 | PointCloud(); | 
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| 222 | virtual ~PointCloud(); | 
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| 223 |  | 
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| 224 | virtual const char * const GetName() const { return "unknown"; }; | 
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| 225 | virtual Vector *GetCenter() const { return NULL; }; | 
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| 226 | virtual TesselPoint *GetPoint() const { return NULL; }; | 
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| 227 | virtual TesselPoint *GetTerminalPoint() const { return NULL; }; | 
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| 228 | virtual void GoToNext() const {}; | 
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| 229 | virtual void GoToPrevious() const {}; | 
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| 230 | virtual void GoToFirst() const {}; | 
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| 231 | virtual void GoToLast() const {}; | 
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| 232 | virtual bool IsEmpty() const { return true; }; | 
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| 233 | virtual bool IsEnd() const { return true; }; | 
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| 234 | }; | 
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| 235 |  | 
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| 236 | // ======================================================== class CandidateForTesselation ========================================= | 
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| 237 |  | 
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| 238 | class CandidateForTesselation { | 
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| 239 | public : | 
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| 240 | CandidateForTesselation(BoundaryLineSet* currentBaseLine); | 
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| 241 | CandidateForTesselation(TesselPoint* candidate, BoundaryLineSet* currentBaseLine, Vector OptCandidateCenter, Vector OtherOptCandidateCenter); | 
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| 242 | ~CandidateForTesselation(); | 
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| 243 |  | 
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| 244 | TesselPointList pointlist; | 
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| 245 | BoundaryLineSet *BaseLine; | 
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| 246 | Vector OptCenter; | 
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| 247 | Vector OtherOptCenter; | 
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| 248 | double ShortestAngle; | 
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| 249 | double OtherShortestAngle; | 
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| 250 | }; | 
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| 251 |  | 
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| 252 | ostream & operator <<(ostream &ost, const  CandidateForTesselation &a); | 
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| 253 |  | 
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| 254 | // =========================================================== class TESSELATION =========================================== | 
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| 255 |  | 
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| 256 | /** Contains the envelope to a PointCloud. | 
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| 257 | */ | 
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| 258 | class Tesselation : public PointCloud { | 
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| 259 | public: | 
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| 260 |  | 
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| 261 | Tesselation(); | 
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| 262 | virtual ~Tesselation(); | 
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| 263 |  | 
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| 264 | void AddTesselationPoint(TesselPoint* Candidate, const int n); | 
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| 265 | void SetTesselationPoint(TesselPoint* Candidate, const int n) const; | 
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| 266 | void AddTesselationLine(class BoundaryPointSet *a, class BoundaryPointSet *b, const int n); | 
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| 267 | void AlwaysAddTesselationTriangleLine(class BoundaryPointSet *a, class BoundaryPointSet *b, const int n); | 
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| 268 | void AddTesselationTriangle(); | 
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| 269 | void AddTesselationTriangle(const int nr); | 
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| 270 | void AddCandidateTriangle(CandidateForTesselation CandidateLine); | 
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| 271 | void RemoveTesselationTriangle(class BoundaryTriangleSet *triangle); | 
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| 272 | void RemoveTesselationLine(class BoundaryLineSet *line); | 
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| 273 | void RemoveTesselationPoint(class BoundaryPointSet *point); | 
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| 274 |  | 
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| 275 |  | 
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| 276 | // concave envelope | 
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| 277 | void FindStartingTriangle(const double RADIUS, const LinkedCell *LC); | 
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| 278 | void FindSecondPointForTesselation(class TesselPoint* a, Vector Oben, class TesselPoint*& OptCandidate, double Storage[3], double RADIUS, const LinkedCell *LC); | 
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| 279 | 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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| 280 | bool FindNextSuitableTriangle(CandidateForTesselation &CandidateLine, BoundaryTriangleSet &T, const double& RADIUS, const LinkedCell *LC); | 
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| 281 | int CheckPresenceOfTriangle(class TesselPoint *Candidates[3]) const; | 
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| 282 | class BoundaryTriangleSet * GetPresentTriangle(TesselPoint *Candidates[3]); | 
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| 283 |  | 
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| 284 | // convex envelope | 
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| 285 | void TesselateOnBoundary(const PointCloud * const cloud); | 
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| 286 | void GuessStartingTriangle(); | 
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| 287 | bool InsertStraddlingPoints(const PointCloud *cloud, const LinkedCell *LC); | 
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| 288 | double RemovePointFromTesselatedSurface(class BoundaryPointSet *point); | 
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| 289 | class BoundaryLineSet * FlipBaseline(class BoundaryLineSet *Base); | 
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| 290 | double PickFarthestofTwoBaselines(class BoundaryLineSet *Base); | 
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| 291 | class BoundaryPointSet *IsConvexRectangle(class BoundaryLineSet *Base); | 
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| 292 | map<int, int> * FindAllDegeneratedTriangles(); | 
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| 293 | map<int, int> * FindAllDegeneratedLines(); | 
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| 294 | void RemoveDegeneratedTriangles(); | 
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| 295 | void AddBoundaryPointByDegeneratedTriangle(class TesselPoint *point, LinkedCell *LC); | 
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| 296 | int CorrectAllDegeneratedPolygons(); | 
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| 297 |  | 
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| 298 | set<TesselPoint*> * GetAllConnectedPoints(const TesselPoint* const Point) const; | 
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| 299 | set<BoundaryTriangleSet*> *GetAllTriangles(const BoundaryPointSet * const Point) const; | 
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| 300 | list<list<TesselPoint*> *> * GetPathsOfConnectedPoints(const TesselPoint* const Point) const; | 
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| 301 | list<list<TesselPoint*> *> * GetClosedPathsOfConnectedPoints(const TesselPoint* const Point) const; | 
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| 302 | list<TesselPoint*> * GetCircleOfSetOfPoints(set<TesselPoint*> *SetOfNeighbours, const TesselPoint* const Point, const Vector * const Reference = NULL) const; | 
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| 303 | class BoundaryPointSet *GetCommonEndpoint(const BoundaryLineSet * line1, const BoundaryLineSet * line2) const; | 
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| 304 | list<BoundaryTriangleSet*> *FindTriangles(const TesselPoint* const Points[3]) const; | 
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| 305 | list<BoundaryTriangleSet*> * FindClosestTrianglesToPoint(const Vector *x, const LinkedCell* LC) const; | 
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| 306 | class BoundaryTriangleSet * FindClosestTriangleToPoint(const Vector *x, const LinkedCell* LC) const; | 
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| 307 | bool IsInnerPoint(const Vector &Point, const LinkedCell* const LC) const; | 
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| 308 | bool IsInnerPoint(const TesselPoint * const Point, const LinkedCell* const LC) const; | 
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| 309 | bool AddBoundaryPoint(TesselPoint * Walker, const int n); | 
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| 310 |  | 
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| 311 | // print for debugging | 
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| 312 | void PrintAllBoundaryPoints(ofstream *out) const; | 
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| 313 | void PrintAllBoundaryLines(ofstream *out) const; | 
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| 314 | void PrintAllBoundaryTriangles(ofstream *out) const; | 
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| 315 |  | 
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| 316 | // store envelope in file | 
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| 317 | void Output(const char *filename, const PointCloud * const cloud); | 
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| 318 |  | 
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| 319 | PointMap PointsOnBoundary; | 
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| 320 | LineMap LinesOnBoundary; | 
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| 321 | CandidateMap OpenLines; | 
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| 322 | TriangleMap TrianglesOnBoundary; | 
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| 323 | int PointsOnBoundaryCount; | 
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| 324 | int LinesOnBoundaryCount; | 
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| 325 | int TrianglesOnBoundaryCount; | 
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| 326 |  | 
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| 327 | // PointCloud implementation for PointsOnBoundary | 
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| 328 | virtual Vector *GetCenter(ofstream *out) const; | 
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| 329 | virtual TesselPoint *GetPoint() const; | 
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| 330 | virtual TesselPoint *GetTerminalPoint() const; | 
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| 331 | virtual void GoToNext() const; | 
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| 332 | virtual void GoToPrevious() const; | 
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| 333 | virtual void GoToFirst() const; | 
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| 334 | virtual void GoToLast() const; | 
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| 335 | virtual bool IsEmpty() const; | 
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| 336 | virtual bool IsEnd() const; | 
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| 337 |  | 
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| 338 | class BoundaryPointSet *BPS[2]; | 
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| 339 | class BoundaryLineSet *BLS[3]; | 
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| 340 | class BoundaryTriangleSet *BTS; | 
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| 341 | class BoundaryTriangleSet *LastTriangle; | 
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| 342 | int TriangleFilesWritten; | 
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| 343 |  | 
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| 344 | private: | 
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| 345 | 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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| 346 |  | 
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| 347 | mutable PointMap::const_iterator InternalPointer; | 
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| 348 |  | 
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| 349 | //bool HasOtherBaselineBetterCandidate(const BoundaryLineSet * const BaseRay, const TesselPoint * const OptCandidate, double ShortestAngle, double RADIUS, const LinkedCell * const LC) const; | 
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| 350 | }; | 
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| 351 |  | 
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| 352 |  | 
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| 353 | #endif /* TESSELATION_HPP_ */ | 
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