1*bf2c3715SXin Li // This file is part of Eigen, a lightweight C++ template library
2*bf2c3715SXin Li // for linear algebra.
3*bf2c3715SXin Li //
4*bf2c3715SXin Li // Copyright (C) 2008 Gael Guennebaud <[email protected]>
5*bf2c3715SXin Li //
6*bf2c3715SXin Li // This Source Code Form is subject to the terms of the Mozilla
7*bf2c3715SXin Li // Public License v. 2.0. If a copy of the MPL was not distributed
8*bf2c3715SXin Li // with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
9*bf2c3715SXin Li
10*bf2c3715SXin Li #include "icosphere.h"
11*bf2c3715SXin Li
12*bf2c3715SXin Li #include <GL/gl.h>
13*bf2c3715SXin Li #include <map>
14*bf2c3715SXin Li
15*bf2c3715SXin Li using namespace Eigen;
16*bf2c3715SXin Li
17*bf2c3715SXin Li //--------------------------------------------------------------------------------
18*bf2c3715SXin Li // icosahedron data
19*bf2c3715SXin Li //--------------------------------------------------------------------------------
20*bf2c3715SXin Li #define X .525731112119133606
21*bf2c3715SXin Li #define Z .850650808352039932
22*bf2c3715SXin Li
23*bf2c3715SXin Li static GLfloat vdata[12][3] = {
24*bf2c3715SXin Li {-X, 0.0, Z}, {X, 0.0, Z}, {-X, 0.0, -Z}, {X, 0.0, -Z},
25*bf2c3715SXin Li {0.0, Z, X}, {0.0, Z, -X}, {0.0, -Z, X}, {0.0, -Z, -X},
26*bf2c3715SXin Li {Z, X, 0.0}, {-Z, X, 0.0}, {Z, -X, 0.0}, {-Z, -X, 0.0}
27*bf2c3715SXin Li };
28*bf2c3715SXin Li
29*bf2c3715SXin Li static GLint tindices[20][3] = {
30*bf2c3715SXin Li {0,4,1}, {0,9,4}, {9,5,4}, {4,5,8}, {4,8,1},
31*bf2c3715SXin Li {8,10,1}, {8,3,10}, {5,3,8}, {5,2,3}, {2,7,3},
32*bf2c3715SXin Li {7,10,3}, {7,6,10}, {7,11,6}, {11,0,6}, {0,1,6},
33*bf2c3715SXin Li {6,1,10}, {9,0,11}, {9,11,2}, {9,2,5}, {7,2,11} };
34*bf2c3715SXin Li //--------------------------------------------------------------------------------
35*bf2c3715SXin Li
IcoSphere(unsigned int levels)36*bf2c3715SXin Li IcoSphere::IcoSphere(unsigned int levels)
37*bf2c3715SXin Li {
38*bf2c3715SXin Li // init with an icosahedron
39*bf2c3715SXin Li for (int i = 0; i < 12; i++)
40*bf2c3715SXin Li mVertices.push_back(Map<Vector3f>(vdata[i]));
41*bf2c3715SXin Li mIndices.push_back(new std::vector<int>);
42*bf2c3715SXin Li std::vector<int>& indices = *mIndices.back();
43*bf2c3715SXin Li for (int i = 0; i < 20; i++)
44*bf2c3715SXin Li {
45*bf2c3715SXin Li for (int k = 0; k < 3; k++)
46*bf2c3715SXin Li indices.push_back(tindices[i][k]);
47*bf2c3715SXin Li }
48*bf2c3715SXin Li mListIds.push_back(0);
49*bf2c3715SXin Li
50*bf2c3715SXin Li while(mIndices.size()<levels)
51*bf2c3715SXin Li _subdivide();
52*bf2c3715SXin Li }
53*bf2c3715SXin Li
indices(int level) const54*bf2c3715SXin Li const std::vector<int>& IcoSphere::indices(int level) const
55*bf2c3715SXin Li {
56*bf2c3715SXin Li while (level>=int(mIndices.size()))
57*bf2c3715SXin Li const_cast<IcoSphere*>(this)->_subdivide();
58*bf2c3715SXin Li return *mIndices[level];
59*bf2c3715SXin Li }
60*bf2c3715SXin Li
_subdivide(void)61*bf2c3715SXin Li void IcoSphere::_subdivide(void)
62*bf2c3715SXin Li {
63*bf2c3715SXin Li typedef unsigned long long Key;
64*bf2c3715SXin Li std::map<Key,int> edgeMap;
65*bf2c3715SXin Li const std::vector<int>& indices = *mIndices.back();
66*bf2c3715SXin Li mIndices.push_back(new std::vector<int>);
67*bf2c3715SXin Li std::vector<int>& refinedIndices = *mIndices.back();
68*bf2c3715SXin Li int end = indices.size();
69*bf2c3715SXin Li for (int i=0; i<end; i+=3)
70*bf2c3715SXin Li {
71*bf2c3715SXin Li int ids0[3], // indices of outer vertices
72*bf2c3715SXin Li ids1[3]; // indices of edge vertices
73*bf2c3715SXin Li for (int k=0; k<3; ++k)
74*bf2c3715SXin Li {
75*bf2c3715SXin Li int k1 = (k+1)%3;
76*bf2c3715SXin Li int e0 = indices[i+k];
77*bf2c3715SXin Li int e1 = indices[i+k1];
78*bf2c3715SXin Li ids0[k] = e0;
79*bf2c3715SXin Li if (e1>e0)
80*bf2c3715SXin Li std::swap(e0,e1);
81*bf2c3715SXin Li Key edgeKey = Key(e0) | (Key(e1)<<32);
82*bf2c3715SXin Li std::map<Key,int>::iterator it = edgeMap.find(edgeKey);
83*bf2c3715SXin Li if (it==edgeMap.end())
84*bf2c3715SXin Li {
85*bf2c3715SXin Li ids1[k] = mVertices.size();
86*bf2c3715SXin Li edgeMap[edgeKey] = ids1[k];
87*bf2c3715SXin Li mVertices.push_back( (mVertices[e0]+mVertices[e1]).normalized() );
88*bf2c3715SXin Li }
89*bf2c3715SXin Li else
90*bf2c3715SXin Li ids1[k] = it->second;
91*bf2c3715SXin Li }
92*bf2c3715SXin Li refinedIndices.push_back(ids0[0]); refinedIndices.push_back(ids1[0]); refinedIndices.push_back(ids1[2]);
93*bf2c3715SXin Li refinedIndices.push_back(ids0[1]); refinedIndices.push_back(ids1[1]); refinedIndices.push_back(ids1[0]);
94*bf2c3715SXin Li refinedIndices.push_back(ids0[2]); refinedIndices.push_back(ids1[2]); refinedIndices.push_back(ids1[1]);
95*bf2c3715SXin Li refinedIndices.push_back(ids1[0]); refinedIndices.push_back(ids1[1]); refinedIndices.push_back(ids1[2]);
96*bf2c3715SXin Li }
97*bf2c3715SXin Li mListIds.push_back(0);
98*bf2c3715SXin Li }
99*bf2c3715SXin Li
draw(int level)100*bf2c3715SXin Li void IcoSphere::draw(int level)
101*bf2c3715SXin Li {
102*bf2c3715SXin Li while (level>=int(mIndices.size()))
103*bf2c3715SXin Li const_cast<IcoSphere*>(this)->_subdivide();
104*bf2c3715SXin Li if (mListIds[level]==0)
105*bf2c3715SXin Li {
106*bf2c3715SXin Li mListIds[level] = glGenLists(1);
107*bf2c3715SXin Li glNewList(mListIds[level], GL_COMPILE);
108*bf2c3715SXin Li glVertexPointer(3, GL_FLOAT, 0, mVertices[0].data());
109*bf2c3715SXin Li glNormalPointer(GL_FLOAT, 0, mVertices[0].data());
110*bf2c3715SXin Li glEnableClientState(GL_VERTEX_ARRAY);
111*bf2c3715SXin Li glEnableClientState(GL_NORMAL_ARRAY);
112*bf2c3715SXin Li glDrawElements(GL_TRIANGLES, mIndices[level]->size(), GL_UNSIGNED_INT, &(mIndices[level]->at(0)));
113*bf2c3715SXin Li glDisableClientState(GL_VERTEX_ARRAY);
114*bf2c3715SXin Li glDisableClientState(GL_NORMAL_ARRAY);
115*bf2c3715SXin Li glEndList();
116*bf2c3715SXin Li }
117*bf2c3715SXin Li glCallList(mListIds[level]);
118*bf2c3715SXin Li }
119*bf2c3715SXin Li
120*bf2c3715SXin Li
121