1 | // This file is part of Eigen, a lightweight C++ template library
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2 | // for linear algebra.
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3 | //
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4 | // Copyright (C) 2008 Gael Guennebaud <gael.guennebaud@inria.fr>
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5 | //
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6 | // This Source Code Form is subject to the terms of the Mozilla
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7 | // Public License v. 2.0. If a copy of the MPL was not distributed
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8 | // with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
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9 |
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10 | #include "icosphere.h"
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11 |
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12 | #include <GL/gl.h>
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13 | #include <map>
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14 |
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15 | using namespace Eigen;
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16 |
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17 | //--------------------------------------------------------------------------------
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18 | // icosahedron data
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19 | //--------------------------------------------------------------------------------
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20 | #define X .525731112119133606
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21 | #define Z .850650808352039932
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22 |
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23 | static GLfloat vdata[12][3] = {
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24 | {-X, 0.0, Z}, {X, 0.0, Z}, {-X, 0.0, -Z}, {X, 0.0, -Z},
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25 | {0.0, Z, X}, {0.0, Z, -X}, {0.0, -Z, X}, {0.0, -Z, -X},
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26 | {Z, X, 0.0}, {-Z, X, 0.0}, {Z, -X, 0.0}, {-Z, -X, 0.0}
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27 | };
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28 |
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29 | static GLint tindices[20][3] = {
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30 | {0,4,1}, {0,9,4}, {9,5,4}, {4,5,8}, {4,8,1},
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31 | {8,10,1}, {8,3,10}, {5,3,8}, {5,2,3}, {2,7,3},
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32 | {7,10,3}, {7,6,10}, {7,11,6}, {11,0,6}, {0,1,6},
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33 | {6,1,10}, {9,0,11}, {9,11,2}, {9,2,5}, {7,2,11} };
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34 | //--------------------------------------------------------------------------------
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35 |
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36 | IcoSphere::IcoSphere(unsigned int levels)
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37 | {
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38 | // init with an icosahedron
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39 | for (int i = 0; i < 12; i++)
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40 | mVertices.push_back(Map<Vector3f>(vdata[i]));
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41 | mIndices.push_back(new std::vector<int>);
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42 | std::vector<int>& indices = *mIndices.back();
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43 | for (int i = 0; i < 20; i++)
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44 | {
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45 | for (int k = 0; k < 3; k++)
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46 | indices.push_back(tindices[i][k]);
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47 | }
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48 | mListIds.push_back(0);
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49 |
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50 | while(mIndices.size()<levels)
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51 | _subdivide();
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52 | }
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53 |
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54 | const std::vector<int>& IcoSphere::indices(int level) const
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55 | {
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56 | while (level>=int(mIndices.size()))
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57 | const_cast<IcoSphere*>(this)->_subdivide();
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58 | return *mIndices[level];
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59 | }
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60 |
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61 | void IcoSphere::_subdivide(void)
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62 | {
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63 | typedef unsigned long long Key;
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64 | std::map<Key,int> edgeMap;
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65 | const std::vector<int>& indices = *mIndices.back();
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66 | mIndices.push_back(new std::vector<int>);
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67 | std::vector<int>& refinedIndices = *mIndices.back();
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68 | int end = indices.size();
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69 | for (int i=0; i<end; i+=3)
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70 | {
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71 | int ids0[3], // indices of outer vertices
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72 | ids1[3]; // indices of edge vertices
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73 | for (int k=0; k<3; ++k)
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74 | {
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75 | int k1 = (k+1)%3;
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76 | int e0 = indices[i+k];
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77 | int e1 = indices[i+k1];
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78 | ids0[k] = e0;
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79 | if (e1>e0)
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80 | std::swap(e0,e1);
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81 | Key edgeKey = Key(e0) | (Key(e1)<<32);
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82 | std::map<Key,int>::iterator it = edgeMap.find(edgeKey);
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83 | if (it==edgeMap.end())
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84 | {
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85 | ids1[k] = mVertices.size();
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86 | edgeMap[edgeKey] = ids1[k];
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87 | mVertices.push_back( (mVertices[e0]+mVertices[e1]).normalized() );
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88 | }
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89 | else
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90 | ids1[k] = it->second;
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91 | }
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92 | refinedIndices.push_back(ids0[0]); refinedIndices.push_back(ids1[0]); refinedIndices.push_back(ids1[2]);
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93 | refinedIndices.push_back(ids0[1]); refinedIndices.push_back(ids1[1]); refinedIndices.push_back(ids1[0]);
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94 | refinedIndices.push_back(ids0[2]); refinedIndices.push_back(ids1[2]); refinedIndices.push_back(ids1[1]);
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95 | refinedIndices.push_back(ids1[0]); refinedIndices.push_back(ids1[1]); refinedIndices.push_back(ids1[2]);
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96 | }
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97 | mListIds.push_back(0);
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98 | }
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99 |
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100 | void IcoSphere::draw(int level)
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101 | {
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102 | while (level>=int(mIndices.size()))
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103 | const_cast<IcoSphere*>(this)->_subdivide();
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104 | if (mListIds[level]==0)
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105 | {
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106 | mListIds[level] = glGenLists(1);
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107 | glNewList(mListIds[level], GL_COMPILE);
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108 | glVertexPointer(3, GL_FLOAT, 0, mVertices[0].data());
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109 | glNormalPointer(GL_FLOAT, 0, mVertices[0].data());
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110 | glEnableClientState(GL_VERTEX_ARRAY);
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111 | glEnableClientState(GL_NORMAL_ARRAY);
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112 | glDrawElements(GL_TRIANGLES, mIndices[level]->size(), GL_UNSIGNED_INT, &(mIndices[level]->at(0)));
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113 | glDisableClientState(GL_VERTEX_ARRAY);
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114 | glDisableClientState(GL_NORMAL_ARRAY);
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115 | glEndList();
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116 | }
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117 | glCallList(mListIds[level]);
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118 | }
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119 |
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120 |
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