[2197] | 1 | // Wsimplex.cpp: implementation of the Wsimplex class.
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| 2 | //
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| 3 | //////////////////////////////////////////////////////////////////////
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| 4 |
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| 5 | #include "dxstdafx.h"
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| 6 | #include "Wsimplex.h"
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| 7 | #include "Vector.hpp"
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| 8 | #include "Wbucket.h"
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| 9 | #include "WsubMesh.h"
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| 10 |
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| 11 | //////////////////////////////////////////////////////////////////////
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| 12 | // ruction/Destruction
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| 13 | //////////////////////////////////////////////////////////////////////
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| 14 |
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| 15 | Wsimplex::Wsimplex(int dim)
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| 16 | {
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| 17 | deleted = 0;
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| 18 | circumcentre = new Vector(0,0,0);
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| 19 | dimension = dim;
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| 20 |
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| 21 | vertex = new Vector*[dimension+1];
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| 22 | neighbour = new Wsimplex*[dimension+1];
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| 23 | }
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| 24 |
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| 25 | Wsimplex::Wsimplex(Vector *q, Vector *w, int order)
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| 26 | {
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| 27 | dimension = 1;
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| 28 | deleted = 0;
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| 29 | vertex = new Vector*[dimension+1];
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| 30 | neighbour = new Wsimplex*[dimension+1];
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| 31 |
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| 32 | circumcentre = new Vector(0,0,0);
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| 33 |
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| 34 | neighbour[0] = NULL;
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| 35 | neighbour[1] = NULL;
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| 36 | inFrontOf = NULL;
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| 37 | behind = NULL;
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| 38 |
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| 39 | if(!order)
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| 40 | {
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| 41 | vertex[0] = q;
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| 42 | vertex[1] = w;
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| 43 | }
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| 44 | else
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| 45 | {
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| 46 | if(q<w)
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| 47 | {
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| 48 | vertex[0]=q;
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| 49 | vertex[1]=w;
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| 50 | }
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| 51 | else
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| 52 | {
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| 53 | vertex[0] = w;
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| 54 | vertex[1] = q;
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| 55 | }
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| 56 |
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| 57 | }
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| 58 | //WARNING correct ordering by pointer value assumed if(order == 0)
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| 59 | updateCentre();
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| 60 | }
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| 61 |
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| 62 |
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| 63 | Wsimplex::Wsimplex(Vector *q, Vector *w, Vector *e, int order)
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| 64 | {
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| 65 | dimension = 2;
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| 66 | deleted = 0;
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| 67 | vertex = new Vector*[dimension+1];
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| 68 | neighbour = new Wsimplex*[dimension+1];
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| 69 |
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| 70 | circumcentre = new Vector(0,0,0);
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| 71 | neighbour[0] = NULL;
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| 72 | neighbour[1] = NULL;
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| 73 | neighbour[2] = NULL;
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| 74 | inFrontOf = NULL;
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| 75 | behind = NULL;
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| 76 |
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| 77 | if(!order)
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| 78 | {
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| 79 | vertex[0] = q;
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| 80 | vertex[1] = w;
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| 81 | vertex[2] = e;
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| 82 | }
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| 83 | else
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| 84 | {
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| 85 | if(q<w)
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| 86 | {
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| 87 | if(q<e)
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| 88 | {
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| 89 | vertex[0]=q;
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| 90 | if(w<e)
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| 91 | {
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| 92 | vertex[1]=w;
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| 93 | vertex[2]=e;
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| 94 | }
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| 95 | else
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| 96 | {
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| 97 | vertex[1]=e;
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| 98 | vertex[2]=w;
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| 99 | }
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| 100 | }
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| 101 | else
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| 102 | {
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| 103 | vertex[0] = e;
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| 104 | vertex[1] = q;
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| 105 | vertex[2] = w;
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| 106 | }
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| 107 | }
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| 108 | else
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| 109 | {
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| 110 | if(q<e)
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| 111 | {
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| 112 | vertex[0] = w;
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| 113 | vertex[1] = q;
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| 114 | vertex[2] = e;
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| 115 | }
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| 116 | else
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| 117 | {
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| 118 | vertex[2] = q;
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| 119 | if(w<e)
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| 120 | {
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| 121 | vertex[0]=w;
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| 122 | vertex[1]=e;
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| 123 | }
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| 124 | else
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| 125 | {
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| 126 | vertex[0]=e;
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| 127 | vertex[1]=w;
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| 128 | }
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| 129 | }
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| 130 | }
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| 131 | }
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| 132 |
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| 133 | //WARNING correct ordering by pointer value assumed if(order == 0)
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| 134 | updateCentre();
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| 135 | }
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| 136 |
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| 137 | Wsimplex::Wsimplex(Vector *sharp, Wsimplex *flat)
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| 138 | {
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| 139 | dimension = flat->getDimension()+1;
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| 140 | if(dimension == 2)
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| 141 | printf("brek \n");
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| 142 |
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| 143 | vertex = new Vector*[dimension+1];
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| 144 | neighbour = new Wsimplex*[dimension+1];
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| 145 |
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| 146 | deleted = 0;
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| 147 | circumcentre = new Vector(0,0,0);
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| 148 |
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| 149 | for(int shg = 0;shg < dimension+1;shg++)
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| 150 | neighbour[shg] = NULL;
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| 151 | inFrontOf = NULL;
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| 152 | behind = NULL;
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| 153 |
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| 154 | Vector** tri = flat->getVertices();
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| 155 |
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| 156 | int sindex;
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| 157 | for(sindex = 0;sindex<dimension;sindex++)
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| 158 | if(sharp < tri[sindex]) break;;
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| 159 |
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| 160 | vertex[sindex] = sharp;
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| 161 | neighbour[sindex] = flat->getBehind();
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| 162 |
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| 163 | switch(dimension)
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| 164 | {
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| 165 | case 3: vertex[(sindex>2)?2:3] = tri[2];
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| 166 | neighbour[(sindex>2)?2:3] = flat->getNeighboursFront(2);
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| 167 | case 2: vertex[(sindex>1)?1:2] = tri[1];
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| 168 | neighbour[(sindex>1)?1:2] = flat->getNeighboursFront(1);
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| 169 | case 1: vertex[sindex?0:1] = tri[0];
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| 170 | neighbour[sindex?0:1] = flat->getNeighboursFront(0);
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| 171 | }
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| 172 |
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| 173 | //tell the neighbours to link here
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| 174 | for(int i=0;i<dimension+1;i++)
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| 175 | if(neighbour[i])
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| 176 | neighbour[i]->helloNeighbour(this);
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| 177 |
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| 178 | updateCentre();
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| 179 | }
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| 180 |
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| 181 |
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| 182 | Wsimplex::~Wsimplex()
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| 183 | {
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| 184 | if(!backlist.empty())
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| 185 | {
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| 186 | ::std::vector<Wbucket*>::const_iterator a = backlist.begin();
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| 187 | while(a != backlist.end())
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| 188 | {
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| 189 | (*a)->eliminate(this);
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| 190 | a++;
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| 191 | }
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| 192 | }
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| 193 | //WARNING cc is possibly used in refine
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| 194 | delete circumcentre;
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| 195 | }
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| 196 |
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| 197 |
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| 198 | Vector* Wsimplex::getCircumcentre()
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| 199 | {
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| 200 | return circumcentre;
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| 201 | }
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| 202 |
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| 203 | double Wsimplex::getRadius()
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| 204 | {
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| 205 | return radius;
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| 206 | }
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| 207 |
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| 208 | int Wsimplex::inCircle(Vector *guess)
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| 209 | {
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| 210 | Vector dist = *circumcentre - *guess;
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| 211 | return sqrad - 0.0000001> dist.norm2();
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| 212 | }
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| 213 |
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| 214 | void Wsimplex::linkback(Wbucket *container)
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| 215 | {
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| 216 | backlist.push_back(container);
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| 217 | }
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| 218 |
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| 219 |
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| 220 | void Wsimplex::updateCentre()
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| 221 | {
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| 222 | if(dimension == 3)
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| 223 | {
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| 224 | double bax = vertex[1]->x - vertex[0]->x;
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| 225 | double cax = vertex[2]->x - vertex[0]->x;
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| 226 | double dax = vertex[3]->x - vertex[0]->x;
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| 227 | double bay = vertex[1]->y - vertex[0]->y;
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| 228 | double cay = vertex[2]->y - vertex[0]->y;
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| 229 | double day = vertex[3]->y - vertex[0]->y;
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| 230 | double baz = vertex[1]->z - vertex[0]->z;
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| 231 | double caz = vertex[2]->z - vertex[0]->z;
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| 232 | double daz = vertex[3]->z - vertex[0]->z;
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| 233 |
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| 234 | double bxcx = bay * caz - baz * cay;
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| 235 | double bxcy = baz * cax - bax * caz;
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| 236 | double bxcz = bax * cay - bay * cax;
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| 237 |
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| 238 | double dxbx = day * baz - daz * bay;
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| 239 | double dxby = daz * bax - dax * baz;
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| 240 | double dxbz = dax * bay - day * bax;
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| 241 |
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| 242 | double cxdx = cay * daz - caz * day;
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| 243 | double cxdy = caz * dax - cax * daz;
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| 244 | double cxdz = cax * day - cay * dax;
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| 245 |
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| 246 | double da = dax*dax + day*day + daz*daz;
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| 247 | double ca = cax*cax + cay*cay + caz*caz;
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| 248 | double ba = bax*bax + bay*bay + baz*baz;
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| 249 |
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| 250 | double nx = da * bxcx + ca * dxbx + ba * cxdx;
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| 251 | double ny = da * bxcy + ca * dxby + ba * cxdy;
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| 252 | double nz = da * bxcz + ca * dxbz + ba * cxdz;
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| 253 |
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| 254 | double det = 2 * ( bax * cay * daz + bay * caz * dax + baz * cax * day
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| 255 | - bax * caz * day - bay * cax * daz - baz * cay * dax);
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| 256 |
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| 257 | sqrad = (nx*nx + ny*ny + nz*nz) / (det * det);
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| 258 | radius = sqrt(sqrad);
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| 259 | circumcentre->x = vertex[0]->x + nx / det;
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| 260 | circumcentre->y = vertex[0]->y + ny / det;
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| 261 | circumcentre->z = vertex[0]->z + nz / det;
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| 262 |
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| 263 | }
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| 264 | else
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| 265 | if(dimension == 2)
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| 266 | {
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| 267 | /*
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| 268 | double els[9];
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| 269 | els[0] = vertex[1]->x - vertex[0]->x;
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| 270 | els[3] = vertex[1]->y - vertex[0]->y;
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| 271 | els[6] = vertex[1]->z - vertex[0]->z;
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| 272 | els[1] = vertex[2]->x - vertex[0]->x;
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| 273 | els[4] = vertex[2]->y - vertex[0]->y;
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| 274 | els[7] = vertex[2]->z - vertex[0]->z;
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| 275 | els[2] = els[3]*els[7] - els[6]*els[4];
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| 276 | els[5] = els[6]*els[1] - els[0]*els[7];
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| 277 | els[8] = els[0]*els[4] - els[3]*els[1];
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| 278 | Matrix M(3,3,els);
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| 279 |
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| 280 | double vavg[3];
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| 281 | vavg[0] = ( els[0]*(vertex[1]->x + vertex[0]->x) +
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| 282 | els[3]*(vertex[1]->y + vertex[0]->y) +
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| 283 | els[6]*(vertex[1]->z + vertex[0]->z)
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| 284 | )/2;
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| 285 | vavg[1] = ( els[1]*(vertex[2]->x + vertex[0]->x) +
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| 286 | els[4]*(vertex[2]->y + vertex[0]->y) +
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| 287 | els[7]*(vertex[2]->z + vertex[0]->z)
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| 288 | )/2;
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| 289 | vavg[2] = els[2]*vertex[0]->x +
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| 290 | els[5]*vertex[0]->y +
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| 291 | els[8]*vertex[0]->z;
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| 292 | Vector V(3,vavg);
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| 293 |
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| 294 | M.invert();
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| 295 | Vector ResX = M*V;
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| 296 |
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| 297 | circumcentre->x = ResX(1);
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| 298 | circumcentre->y = ResX(2);
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| 299 | circumcentre->z = ResX(3);
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| 300 | double r1 = circumcentre->x - vertex[0]->x;
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| 301 | double r2 = circumcentre->y - vertex[0]->y;
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| 302 | double r3 = circumcentre->z - vertex[0]->z;
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| 303 | sqrad = r1*r1 + r2*r2 + r3*r3;
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| 304 | radius = sqrt(sqrad);
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| 305 | */
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| 306 | }
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| 307 | //WARN 'dim=1' case missing
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| 308 | }
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| 309 |
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| 310 |
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| 311 | WsubMesh* Wsimplex::cavity(Vector *proxy)
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| 312 | {
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| 313 | if(deleted)
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| 314 | return (WsubMesh*)0x00000001;
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| 315 | if(inCircle(proxy))
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| 316 | {
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| 317 | deleted = 1;
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| 318 |
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| 319 | //WARN out of chain here, or undertaker later
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| 320 |
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| 321 | //into deleted chain
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| 322 | WsubMesh* collector = new WsubMesh();
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| 323 |
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| 324 | collector->setInsider(this);
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| 325 |
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| 326 | for(int i=0;i<dimension+1;i++)
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| 327 | {
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| 328 | WsubMesh* a = NULL;
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| 329 | if(neighbour[i])
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| 330 | {
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| 331 | a = neighbour[i]->cavity(proxy);
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| 332 | }
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| 333 | //else it is outer space, notice a == NULL then
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| 334 | if(a)
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| 335 | {
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| 336 | //WARNING n[i] returned, therefore all his neighbours are dead,
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| 337 | // he will never be called again, but cannot be deleted yet!!!
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| 338 | // 0x1 return indicates a tetra earlier in call chain
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| 339 | if(a != (WsubMesh*)0x00000001)
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| 340 | {
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| 341 | // delete neighbour[i];
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| 342 | collector->merge(a);
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| 343 | }
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| 344 | }
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| 345 | else
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| 346 | {
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| 347 | Wsimplex* n;
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| 348 | if(dimension == 3)
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| 349 | n = new Wsimplex(
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| 350 | vertex[(i==0)?1:0],
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| 351 | vertex[(i<2)?2:1],
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| 352 | vertex[(i<3)?3:2]);
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| 353 | else
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| 354 | n= new Wsimplex(
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| 355 | vertex[(i==0)?1:0],
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| 356 | vertex[(i==2)?1:2]);
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| 357 | n->behind = neighbour[i];
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| 358 | collector->add(n);
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| 359 | }
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| 360 |
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| 361 | }
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| 362 |
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| 363 | return collector;
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| 364 |
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| 365 | }
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| 366 | else
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| 367 | return NULL;
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| 368 | }
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| 369 |
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| 370 | void Wsimplex::helloNeighbour(Wsimplex* theguynext)
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| 371 | {
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| 372 | Vector** ott = theguynext->getVertices();
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| 373 | if(!(vertex[0] == ott[0] || vertex[0] == ott[1]))
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| 374 | {
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| 375 | neighbour[0] = theguynext;
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| 376 | return;
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| 377 | }
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| 378 |
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| 379 | if(!(vertex[dimension] == ott[dimension] || vertex[dimension] == ott[dimension-1]))
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| 380 | {
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| 381 | neighbour[dimension] = theguynext;
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| 382 | return;
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| 383 | }
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| 384 |
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| 385 | for(int t=1;t<dimension;t++)
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| 386 | if(!(vertex[t] == ott[t] || vertex[t] == ott[t+1] || vertex[t] == ott[t-1]))
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| 387 | {
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| 388 | neighbour[t] = theguynext;
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| 389 | return;
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| 390 | }
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| 391 | printf("ERROR: helloNeighbour found no matching nodes!\n");
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| 392 | }
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| 393 |
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| 394 | int Wsimplex::getDimension()
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| 395 | {
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| 396 | return dimension;
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| 397 | }
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| 398 |
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| 399 | Vector** Wsimplex::getVertices()
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| 400 | {
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| 401 | return vertex;
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| 402 | }
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| 403 |
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| 404 | Wsimplex** Wsimplex::getNeighbours()
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| 405 | {
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| 406 | return neighbour;
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| 407 | }
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| 408 |
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| 409 |
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| 410 | Wsimplex::Wsimplex(Vector *q, Vector *w, Vector *e, Vector *r)
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| 411 | {
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| 412 |
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| 413 | //WARNING position is not checked for qualit
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| 414 | //quality NOT SET!!
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| 415 | //this constructor was marked obsolete
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| 416 | //but it is used for constructing from file
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| 417 |
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| 418 | dimension = 3;
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| 419 | deleted = 0;
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| 420 | for(int i=0;i<4;i++)
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| 421 | neighbour[i] = NULL;
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| 422 | vertex[0] = q;
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| 423 | vertex[1] = w;
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| 424 | vertex[2] = e;
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| 425 | vertex[3] = r;
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| 426 | circumcentre = new Vector(0,0,0);
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| 427 | updateCentre();
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| 428 | }
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| 429 |
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| 430 |
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| 431 | void Wsimplex::print()
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| 432 | {
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| 433 | // cout << "Wsimplex:\n";
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| 434 | // for(int i=0;i<=dimension;i++)
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| 435 | // vertex[i]->print();
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| 436 | }
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| 437 |
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| 438 | int Wsimplex::adjacentToNothing()
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| 439 | {
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| 440 | int c=0;
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| 441 | for(int y=0;y<=dimension;y++)
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| 442 | if(!neighbour[y])
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| 443 | c++;
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| 444 | return c;
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| 445 | }
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| 446 |
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| 447 | int Wsimplex::verifyDelaunay(Vector* proxy)
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| 448 | {
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| 449 | if(proxy)
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| 450 | {
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| 451 | if(inSmallSphere(proxy))
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| 452 | return 0;
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| 453 | else
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| 454 | return 1;
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| 455 | }
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| 456 | else
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| 457 | return 1;
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| 458 |
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| 459 | }
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| 460 |
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| 461 | int Wsimplex::inSmallSphere(Vector *guess)
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| 462 | {
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| 463 | Vector xx = (*circumcentre) - (*guess);
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| 464 |
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| 465 | return sqrad-0.1 > xx.norm2();
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| 466 | }
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| 467 |
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| 468 | void Wsimplex::cutlinkback(Wbucket *container)
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| 469 | {
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| 470 | if(!backlist.empty())
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| 471 | {
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| 472 | ::std::vector<Wbucket*>::iterator a = backlist.begin();
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| 473 | while(a != backlist.end())
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| 474 | {
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| 475 | if(*a == container)
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| 476 | {
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| 477 | backlist.erase(a);
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| 478 | break;
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| 479 | }
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| 480 | else
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| 481 | a++;
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| 482 | }
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| 483 | }
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| 484 | }
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| 485 |
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| 486 | Vector* Wsimplex::getInteriorPoint()
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| 487 | {
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| 488 | double ix = 0, iy = 0, iz = 0;
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| 489 | for(int c=0;c<=dimension;c++)
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| 490 | {
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| 491 | ix += vertex[c]->x;
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| 492 | iy += vertex[c]->y;
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| 493 | iz += vertex[c]->z;
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| 494 | }
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| 495 | return new Vector(ix/(double)(dimension+1),iy/(double)(dimension+1),iz/(double)(dimension+1));
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| 496 | }
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| 497 |
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| 498 | int Wsimplex::nearEdge()
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| 499 | {
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| 500 | //WARNING no id in Vector, should identify boundary nodes using geometry
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| 501 | return 0;
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| 502 |
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| 503 | }
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| 504 |
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| 505 | Wsimplex* Wsimplex::getNeighboursFront(int which)
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| 506 | {
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| 507 | if(neighbour[which])
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| 508 | return neighbour[which]->getFront();
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| 509 | else
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| 510 | return 0x0;
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| 511 | }
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| 512 |
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| 513 | Wsimplex* Wsimplex::getFront()
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| 514 | {
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| 515 | return inFrontOf;
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| 516 | }
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| 517 |
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| 518 | Wsimplex* Wsimplex::getBehind()
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| 519 | {
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| 520 | return behind;
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| 521 | }
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| 522 |
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| 523 | int Wsimplex::isComplete()
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| 524 | {
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| 525 | Wsimplex** a = neighbour;
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| 526 | int com = 0;
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| 527 | for(int c=0; c<dimension; c++)
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| 528 | com = com && *(a++);
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| 529 | return com;
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| 530 | }
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| 531 |
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| 532 | int Wsimplex::join(Wsimplex *other)
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| 533 | {
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| 534 | Vector** ott = other->getVertices();
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| 535 |
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| 536 | if(dimension == 1)
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| 537 | {
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| 538 | if(vertex[0] == ott[0])
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| 539 | {
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| 540 | neighbour[1] = other;
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| 541 | other->neighbour[1] = this;
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| 542 | }
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| 543 | else
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| 544 | if(vertex[0] == ott[1])
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| 545 | {
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| 546 | neighbour[1] = other;
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| 547 | other->neighbour[0] = this;
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| 548 | }
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| 549 | else
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| 550 | if(vertex[1] == ott[0])
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| 551 | {
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| 552 | neighbour[0] = other;
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| 553 | other->neighbour[1] = this;
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| 554 | }
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| 555 | else
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| 556 | if(vertex[1] == ott[1])
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| 557 | {
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| 558 | neighbour[0] = other;
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| 559 | other->neighbour[0] = this;
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| 560 | }
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| 561 | return ((neighbour[0] && neighbour[1])?1:0) |
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| 562 | ((other->neighbour[0] && other->neighbour[1])?2:0);
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| 563 | }
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| 564 |
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| 565 | if(vertex[0] == ott[0])
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| 566 | {
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| 567 | if(vertex[1] == ott[1])
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| 568 | {
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| 569 | neighbour[2] = other;
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| 570 | other->neighbour[2] = this;
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| 571 | }
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| 572 | else
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| 573 | if(vertex[1] == ott[2])
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| 574 | {
|
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| 575 | neighbour[2] = other;
|
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| 576 | other->neighbour[1] = this;
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| 577 | }
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| 578 | else
|
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| 579 | if(vertex[2] == ott[1])
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| 580 | {
|
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| 581 | neighbour[1] = other;
|
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| 582 | other->neighbour[2] = this;
|
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| 583 | }
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| 584 | else
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| 585 | if(vertex[2] == ott[2])
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| 586 | {
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| 587 | neighbour[1] = other;
|
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| 588 | other->neighbour[1] = this;
|
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| 589 | }
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| 590 | }
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| 591 | else
|
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| 592 | if(vertex[0] == ott[1])
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| 593 | {
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| 594 | if(vertex[1] == ott[2])
|
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| 595 | {
|
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| 596 | neighbour[2] = other;
|
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| 597 | other->neighbour[0] = this;
|
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| 598 | }
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| 599 | else
|
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| 600 | if(vertex[2] == ott[2])
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| 601 | {
|
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| 602 | neighbour[1] = other;
|
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| 603 | other->neighbour[0] = this;
|
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| 604 | }
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| 605 | }
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| 606 | else
|
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| 607 | if(vertex[1] == ott[0])
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| 608 | {
|
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| 609 | if(vertex[2] == ott[1])
|
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| 610 | {
|
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| 611 | neighbour[0] = other;
|
---|
| 612 | other->neighbour[2] = this;
|
---|
| 613 | }
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---|
| 614 | else
|
---|
| 615 | if(vertex[2] == ott[2])
|
---|
| 616 | {
|
---|
| 617 | neighbour[0] = other;
|
---|
| 618 | other->neighbour[1] = this;
|
---|
| 619 | }
|
---|
| 620 | }
|
---|
| 621 | else
|
---|
| 622 | if((vertex[1] == ott[1]) && (vertex[2] == ott[2]))
|
---|
| 623 | {
|
---|
| 624 | neighbour[0] = other;
|
---|
| 625 | other->neighbour[0] = this;
|
---|
| 626 | }
|
---|
| 627 | else
|
---|
| 628 | return -1; //join impossible;
|
---|
| 629 | //check if complete, return proper value
|
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| 630 | return ((neighbour[0] && neighbour[1] && neighbour[2])?1:0) |
|
---|
| 631 | ((other->neighbour[0] && other->neighbour[1] && other->neighbour[2])?2:0);
|
---|
| 632 | }
|
---|
| 633 |
|
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