1 | #include "Ray.h"
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2 | #include "Mesh.h"
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3 | #include "MeshKdTree.h"
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4 | #include "Triangle3.h"
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5 |
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6 | int MeshInstance::mailID = 21843194198;
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7 |
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8 | void
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9 | Mesh::Preprocess()
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10 | {
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11 | mBox.Initialize();
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12 |
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13 | VertexContainer::const_iterator vi = mVertices.begin();
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14 | for (; vi != mVertices.end(); vi++) {
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15 | mBox.Include(*vi);
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16 | }
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17 |
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18 | /** true if it is a watertight convex mesh */
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19 | mIsConvex = false;
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20 |
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21 | if (mFaces.size() > MeshKdTree::mTermMinCost) {
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22 | mKdTree = new MeshKdTree(this);
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23 | MeshKdLeaf *root = (MeshKdLeaf *)mKdTree->GetRoot();
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24 | for (int i = 0; i < mFaces.size(); i++)
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25 | root->mFaces.push_back(i);
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26 | cout<<"KD";
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27 | mKdTree->Construct();
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28 |
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29 | if (mKdTree->GetRoot()->IsLeaf()) {
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30 | cout<<"d";
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31 | delete mKdTree;
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32 | mKdTree = NULL;
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33 | }
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34 | }
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35 | }
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36 |
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37 | AxisAlignedBox3
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38 | Mesh::GetFaceBox(const int faceIndex)
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39 | {
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40 | Face *face = mFaces[faceIndex];
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41 | AxisAlignedBox3 box;
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42 | box.SetMin( mVertices[face->mVertexIndices[0]] );
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43 | box.SetMax(box.Min());
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44 | for (int i = 1; i < face->mVertexIndices.size(); i++) {
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45 | box.Include(mVertices[face->mVertexIndices[i]]);
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46 | }
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47 | return box;
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48 | }
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49 |
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50 | int
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51 | Mesh::CastRayToFace(
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52 | const int faceIndex,
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53 | Ray &ray,
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54 | float &nearestT,
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55 | int &nearestFace,
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56 | MeshInstance *instance
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57 | )
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58 | {
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59 | float t;
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60 | int hit = 0;
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61 | if (RayFaceIntersection(faceIndex, ray, t, nearestT) == Ray::INTERSECTION) {
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62 | switch (ray.GetType()) {
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63 | case Ray::GLOBAL_RAY:
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64 | ray.intersections.push_back(Ray::Intersection(t, instance, faceIndex));
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65 | hit++;
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66 | break;
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67 | case Ray::LOCAL_RAY:
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68 | nearestT = t;
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69 | nearestFace = faceIndex;
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70 | hit++;
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71 | break;
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72 | case Ray::LINE_SEGMENT:
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73 | if (t <= 1.0f) {
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74 | ray.intersections.push_back(Ray::Intersection(t, instance, faceIndex));
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75 | hit++;
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76 | }
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77 | break;
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78 | }
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79 | }
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80 | return hit;
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81 | }
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82 |
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83 | int
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84 | Mesh::CastRay(
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85 | Ray &ray,
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86 | MeshInstance *instance
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87 | )
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88 | {
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89 | if (mKdTree) {
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90 | return mKdTree->CastRay(ray, instance);
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91 | }
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92 |
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93 | int faceIndex = 0;
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94 | int hits = 0;
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95 | float nearestT = MAX_FLOAT;
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96 | int nearestFace = -1;
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97 |
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98 | if (ray.GetType() == Ray::LOCAL_RAY && ray.intersections.size())
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99 | nearestT = ray.intersections[0].mT;
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100 |
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101 | for ( ;
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102 | faceIndex < mFaces.size();
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103 | faceIndex++) {
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104 | hits += CastRayToFace(faceIndex, ray, nearestT, nearestFace, instance);
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105 | if (mIsConvex && nearestFace != -1)
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106 | break;
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107 | }
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108 |
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109 | if ( hits && ray.GetType() == Ray::LOCAL_RAY ) {
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110 | if (ray.intersections.size())
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111 | ray.intersections[0] = Ray::Intersection(nearestT, instance, nearestFace);
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112 | else
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113 | ray.intersections.push_back(Ray::Intersection(nearestT, instance, nearestFace));
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114 | }
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115 |
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116 | return hits;
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117 | }
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118 |
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119 | int
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120 | Mesh::CastRayToSelectedFaces(
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121 | Ray &ray,
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122 | const vector<int> &faces,
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123 | MeshInstance *instance
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124 | )
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125 | {
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126 | vector<int>::const_iterator fi;
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127 | int faceIndex = 0;
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128 | int hits = 0;
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129 | float nearestT = MAX_FLOAT;
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130 | int nearestFace = -1;
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131 |
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132 | if (ray.GetType() == Ray::LOCAL_RAY && ray.intersections.size())
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133 | nearestT = ray.intersections[0].mT;
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134 |
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135 | for ( fi = faces.begin();
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136 | fi != faces.end();
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137 | fi++) {
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138 | hits += CastRayToFace(*fi, ray, nearestT, nearestFace, instance);
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139 | if (mIsConvex && nearestFace != -1)
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140 | break;
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141 | }
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142 |
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143 | if ( hits && ray.GetType() == Ray::LOCAL_RAY ) {
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144 | if (ray.intersections.size())
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145 | ray.intersections[0] = Ray::Intersection(nearestT, instance, nearestFace);
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146 | else
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147 | ray.intersections.push_back(Ray::Intersection(nearestT, instance, nearestFace));
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148 | }
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149 |
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150 | return hits;
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151 | }
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152 |
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153 |
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154 | // int_lineseg returns 1 if the given line segment intersects a 2D
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155 | // ray travelling in the positive X direction. This is used in the
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156 | // Jordan curve computation for polygon intersection.
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157 | inline int
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158 | int_lineseg(float px,
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159 | float py,
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160 | float u1,
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161 | float v1,
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162 | float u2,
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163 | float v2)
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164 | {
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165 | float t;
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166 | float ydiff;
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167 |
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168 | u1 -= px; u2 -= px; // translate line
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169 | v1 -= py; v2 -= py;
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170 |
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171 | if ((v1 > 0 && v2 > 0) ||
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172 | (v1 < 0 && v2 < 0) ||
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173 | (u1 < 0 && u2 < 0))
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174 | return 0;
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175 |
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176 | if (u1 > 0 && u2 > 0)
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177 | return 1;
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178 |
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179 | ydiff = v2 - v1;
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180 | if (fabs(ydiff) < Limits::Small) { // denominator near 0
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181 | if (((fabs(v1) > Limits::Small) ||
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182 | (u1 > 0) || (u2 > 0)))
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183 | return 0;
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184 | return 1;
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185 | }
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186 |
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187 | t = -v1 / ydiff; // Compute parameter
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188 |
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189 | return (u1 + t * (u2 - u1)) > 0;
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190 | }
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191 |
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192 |
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193 |
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194 | // intersection with the polygonal face of the mesh
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195 | int
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196 | Mesh::RayFaceIntersection(const int faceIndex,
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197 | const Ray &ray,
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198 | float &t,
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199 | const float nearestT
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200 | )
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201 | {
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202 | Face *face = mFaces[faceIndex];
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203 |
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204 | Plane3 plane = GetFacePlane(faceIndex);
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205 | float dot = DotProd(plane.mNormal, ray.GetDir());
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206 |
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207 | // Watch for near-zero denominator
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208 | // ONLY single sided polygons!!!!!
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209 | if (dot > -Limits::Small)
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210 | // if (fabs(dot) < Limits::Small)
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211 | return Ray::NO_INTERSECTION;
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212 |
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213 | t = (-plane.mD - DotProd(plane.mNormal, ray.GetLoc())) / dot;
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214 |
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215 | if (t <= Limits::Small)
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216 | return Ray::INTERSECTION_OUT_OF_LIMITS;
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217 |
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218 | if (t >= nearestT) {
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219 | return Ray::INTERSECTION_OUT_OF_LIMITS; // no intersection was found
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220 | }
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221 |
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222 | int count = 0;
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223 | float u, v, u1, v1, u2, v2;
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224 | int i;
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225 |
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226 | int paxis = plane.mNormal.DrivingAxis();
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227 |
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228 | // Project the intersection point onto the coordinate plane
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229 | // specified by which.
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230 | ray.Extrap(t).ExtractVerts(&u, &v, paxis);
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231 |
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232 |
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233 | int size = face->mVertexIndices.size();
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234 |
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235 | mVertices[face->mVertexIndices[size - 1]].
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236 | ExtractVerts(&u1, &v1, paxis );
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237 |
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238 | if (0 && size <= 4) {
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239 | // assume a convex face
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240 | for (i = 0; i < size; i++) {
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241 | mVertices[face->mVertexIndices[i]].ExtractVerts(&u2, &v2, paxis);
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242 | // line u1, v1, u2, v2
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243 | if ((v2 - v1)*(u1 - u) > (u2 - u1)*(v1 - v))
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244 | return Ray::NO_INTERSECTION;
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245 | u1 = u2;
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246 | v1 = v2;
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247 | }
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248 |
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249 | return Ray::INTERSECTION;
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250 | }
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251 |
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252 | // We're stuck with the Jordan curve computation. Count number
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253 | // of intersections between the line segments the polygon comprises
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254 | // with a ray originating at the point of intersection and
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255 | // travelling in the positive X direction.
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256 | for (i = 0; i < size; i++) {
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257 | mVertices[face->mVertexIndices[i]].ExtractVerts(&u2, &v2, paxis);
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258 | count += (int_lineseg(u, v, u1, v1, u2, v2) != 0);
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259 | u1 = u2;
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260 | v1 = v2;
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261 | }
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262 |
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263 | // We hit polygon if number of intersections is odd.
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264 | return (count & 1) ? Ray::INTERSECTION : Ray::NO_INTERSECTION;
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265 | }
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266 |
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267 |
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268 | void
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269 | Mesh::GetRandomSurfacePoint(Vector3 &point, Vector3 &normal)
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270 | {
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271 | int faceIndex = RandomValue(0, mFaces.size()-1);
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272 |
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273 | // assume the face is convex and generate a convex combination
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274 | //
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275 | Face *face = mFaces[faceIndex];
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276 | point = Vector3(0,0,0);
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277 | float sum = 0.0f;
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278 | for (int i = 0; i < face->mVertexIndices.size(); i++) {
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279 | float r = RandomValue(0,1);
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280 | sum += r;
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281 | point += mVertices[face->mVertexIndices[i]]*r;
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282 | }
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283 | point *= 1.0f/sum;
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284 | normal = GetFacePlane(faceIndex).mNormal;
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285 | }
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286 |
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287 |
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288 | int
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289 | MeshInstance::CastRay(
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290 | Ray &ray
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291 | )
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292 | {
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293 | int res = mMesh->CastRay(ray, this);
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294 | return res;
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295 | }
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296 |
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297 | int
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298 | MeshInstance::CastRay(
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299 | Ray &ray,
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300 | const vector<int> &faces
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301 | )
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302 | {
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303 | return mMesh->CastRayToSelectedFaces(ray, faces, this);
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304 | }
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305 |
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306 |
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307 |
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308 | void
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309 | MeshInstance::GetRandomSurfacePoint(Vector3 &point, Vector3 &normal)
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310 | {
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311 | mMesh->GetRandomSurfacePoint(point, normal);
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312 | }
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313 |
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314 | void
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315 | TransformedMeshInstance::GetRandomSurfacePoint(Vector3 &point, Vector3 &normal)
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316 | {
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317 | mMesh->GetRandomSurfacePoint(point, normal);
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318 | point = mWorldTransform*point;
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319 | normal = TransformNormal(mWorldTransform, normal);
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320 | }
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321 |
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322 | Plane3
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323 | Mesh::GetFacePlane(const int faceIndex)
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324 | {
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325 | Face *face = mFaces[faceIndex];
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326 | return Plane3(mVertices[face->mVertexIndices[0]],
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327 | mVertices[face->mVertexIndices[1]],
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328 | mVertices[face->mVertexIndices[2]]);
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329 | }
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330 |
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331 | int
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332 | TransformedMeshInstance::CastRay(
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333 | Ray &ray
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334 | )
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335 | {
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336 | ray.ApplyTransform(Invert(mWorldTransform));
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337 | int res = mMesh->CastRay(ray, this);
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338 | ray.ApplyTransform(mWorldTransform);
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339 |
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340 | return res;
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341 | }
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342 |
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343 |
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344 | void
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345 | Mesh::AddTriangle(const Triangle3 &triangle)
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346 | {
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347 | int index = mVertices.size();
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348 |
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349 | for (int i=0; i < 3; i++) {
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350 | mVertices.push_back(triangle.mVertices[i]);
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351 | }
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352 |
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353 | AddFace(new Face(index + 0, index + 1, index + 2) );
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354 | }
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355 |
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356 | void
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357 | Mesh::AddRectangle(const Rectangle3 &rect)
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358 | {
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359 | int index = mVertices.size();
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360 |
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361 | for (int i=0; i < 4; i++) {
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362 | mVertices.push_back(rect.mVertices[i]);
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363 | }
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364 |
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365 | AddFace(new Face(index + 0, index + 1, index + 2, index + 3) );
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366 | }
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