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1 #include <stdio.h>
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2 #include <stdlib.h>
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3 #include <math.h>
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4 #include <assert.h>
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5 #include <GL/glut.h>
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6 #include <metasurf.h>
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7
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8 struct quat {
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9 float x, y, z, w;
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10 };
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11
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12 int init(void);
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13 void cleanup(void);
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14 void display(void);
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15 void reshape(int x, int y);
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16 void keypress(unsigned char key, int x, int y);
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17 void mouse(int bn, int st, int x, int y);
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18 void motion(int x, int y);
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19
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20 float eval(struct metasurface *ms, float x, float y, float z);
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21 void vertex(struct metasurface *ms, float x, float y, float z);
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22
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23 int julia(struct quat *qres, struct quat *qprime, struct quat *q, struct quat *seed, int max_iter);
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24 float julia_dist(struct quat *z, struct quat *seed, int max_iter);
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25 void julia_grad(float *grad, float dist, struct quat *q, struct quat *seed, int max_iter);
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26
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27 void show_waitscr(void);
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28
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29 float cam_theta, cam_phi = 25, cam_dist = 5;
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30 int grid_size = 350;
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31 float grid_scale = 1.7;
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32 struct quat seed = {0.4, 0.0, 0.0, -0.8};
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33 int max_iter = 9;
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34
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35 struct metasurface *msurf;
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36 int dlist;
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37 FILE *fp;
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38
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39 int main(int argc, char **argv)
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40 {
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41 glutInit(&argc, argv);
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42 glutInitWindowSize(800, 600);
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43 glutInitDisplayMode(GLUT_RGB | GLUT_DEPTH | GLUT_DOUBLE);
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44 glutCreateWindow("voxel fractals");
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45
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46 glutDisplayFunc(display);
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47 glutReshapeFunc(reshape);
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48 glutKeyboardFunc(keypress);
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49 glutMouseFunc(mouse);
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50 glutMotionFunc(motion);
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51
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52 if(init() == -1) {
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53 return 1;
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54 }
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55 atexit(cleanup);
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56
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57 glutMainLoop();
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58 return 0;
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59 }
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60
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61 int init(void)
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62 {
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63 glEnable(GL_DEPTH_TEST);
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64 glEnable(GL_CULL_FACE);
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65 glEnable(GL_LIGHTING);
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66 glEnable(GL_LIGHT0);
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67 /*glShadeModel(GL_FLAT);*/
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68
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69 fp = fopen("julia.obj", "wb");
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70
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71 if(!(msurf = msurf_create())) {
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72 return -1;
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73 }
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74 msurf_eval_func(msurf, eval);
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75 msurf_vertex_func(msurf, vertex);
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76 msurf_set_resolution(msurf, grid_size, grid_size, grid_size);
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77 msurf_set_threshold(msurf, 0.0);
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78 msurf_set_inside(msurf, MSURF_LESS);
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79
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80 show_waitscr();
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81
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82 dlist = glGenLists(1);
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83 glNewList(dlist, GL_COMPILE);
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84
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85 glBegin(GL_TRIANGLES);
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86 msurf_polygonize(msurf);
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87 glEnd();
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88
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89 glEndList();
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90
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91 if(fp) {
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92 fclose(fp);
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93 }
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94
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95 glClearColor(0.05, 0.05, 0.05, 1);
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96
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97 return 0;
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98 }
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99
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100 void cleanup(void)
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101 {
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102 msurf_free(msurf);
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103 }
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104
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105 void display(void)
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106 {
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107 glClear(GL_COLOR_BUFFER_BIT | GL_DEPTH_BUFFER_BIT);
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108
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109 glMatrixMode(GL_MODELVIEW);
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110 glLoadIdentity();
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111 glTranslatef(0, 0, -cam_dist);
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112 glRotatef(cam_phi, 1, 0, 0);
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113 glRotatef(cam_theta, 0, 1, 0);
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114
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115 glCallList(dlist);
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116
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117 assert(glGetError() == GL_NO_ERROR);
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118 glutSwapBuffers();
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119 }
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120
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121 void reshape(int x, int y)
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122 {
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123 glViewport(0, 0, x, y);
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124 glMatrixMode(GL_PROJECTION);
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125 glLoadIdentity();
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126 gluPerspective(50.0, (float)x / (float)y, 0.5, 500.0);
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127 }
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128
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129 void keypress(unsigned char key, int x, int y)
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130 {
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131 switch(key) {
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132 case 27:
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133 exit(0);
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134 }
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135 }
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136
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137 int prev_x, prev_y;
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138 int bnstate[8];
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139
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140 void mouse(int bn, int st, int x, int y)
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141 {
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142 bnstate[bn - GLUT_LEFT_BUTTON] = st == GLUT_DOWN;
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143 prev_x = x;
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144 prev_y = y;
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145 }
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146
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147 void motion(int x, int y)
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148 {
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149 int dx = x - prev_x;
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150 int dy = y - prev_y;
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151 prev_x = x;
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152 prev_y = y;
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153
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154 if(!dx && !dy) return;
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155
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156 if(bnstate[0]) {
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157 cam_theta += dx * 0.5;
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158 cam_phi += dy * 0.5;
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159
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160 if(cam_phi < -90) cam_phi = -90;
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161 if(cam_phi > 90) cam_phi = 90;
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162 glutPostRedisplay();
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163 }
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164 if(bnstate[2]) {
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165 cam_dist += dy * 0.1;
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166
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167 if(cam_dist < 0.0) cam_dist = 0.0;
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168 glutPostRedisplay();
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169 }
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170 }
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171
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172 float eval(struct metasurface *ms, float x, float y, float z)
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173 {
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174 struct quat q;
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175
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176 q.w = grid_scale * x;
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177 q.x = grid_scale * y;
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178 q.y = grid_scale * z;
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179 q.z = 0.0f;
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180
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181 return julia_dist(&q, &seed, max_iter);
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182 }
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183
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184 void vertex(struct metasurface *ms, float x, float y, float z)
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185 {
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186 struct quat q;
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187 float dist;
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188 float norm[3];
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189 float norm_len, nscale = 1.0;
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190
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191 q.w = grid_scale * x;
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192 q.x = grid_scale * y;
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193 q.y = grid_scale * z;
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194 q.z = 0.0f;
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195
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196 dist = julia_dist(&q, &seed, max_iter);
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197
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198 julia_grad(norm, dist, &q, &seed, max_iter);
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199 norm_len = sqrt(norm[0] * norm[0] + norm[1] * norm[1] + norm[2] * norm[2]);
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200
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201 if(norm_len != 0.0f) {
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202 nscale = 1.0f / norm_len;
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203 }
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204
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205 glNormal3f(norm[0] * nscale, norm[1] * nscale, norm[2] * nscale);
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206 glVertex3f(x, y, z);
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207
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208 if(fp) {
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209 static int nverts;
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210
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211 fprintf(fp, "v %f %f %f\n", x, y, z);
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212
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213 if((++nverts) % 3 == 0) {
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214 fprintf(fp, "f %d %d %d\n", nverts - 2, nverts - 1, nverts);
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215 }
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216 }
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217 }
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218
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219 void quat_mul(struct quat *res, struct quat *a, struct quat *b)
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220 {
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221 float w = a->w * b->w - (a->x * b->x + a->y * b->y + a->z * b->z);
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222 float x = a->w * b->x + b->w * a->x + (a->y * b->z - a->z * b->y);
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223 float y = a->w * b->y + b->w * a->y + (a->z * b->x - a->x * b->z);
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224 res->z = a->w * b->z + b->w * a->z + (a->x * b->y - a->y * b->x);
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225 res->x = x;
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226 res->y = y;
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227 res->w = w;
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228 }
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229
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230 void quat_sq(struct quat *q)
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231 {
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232 float w = q->w * q->w - (q->x * q->x + q->y * q->y + q->z * q->z);
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233 float x = 2.0 * q->w * q->x;
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234 float y = 2.0 * q->w * q->y;
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235 q->z = 2.0 * q->w * q->z;
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236 q->x = x;
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237 q->y = y;
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238 q->w = w;
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239 }
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240
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241 float quat_lensq(struct quat *q)
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242 {
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243 return q->x * q->x + q->y * q->y + q->z * q->z + q->w * q->w;
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244 }
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245
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246 int julia(struct quat *qres, struct quat *qprime, struct quat *q, struct quat *seed, int max_iter)
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247 {
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248 int i;
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249
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250 *qres = *q;
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251 qprime->x = qprime->y = qprime->z = 0.0f;
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252 qprime->w = 1.0f;
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253
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254 for(i=0; i<max_iter; i++) {
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255 quat_mul(qprime, qres, qprime);
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256 qprime->x *= 2.0;
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257 qprime->y *= 2.0;
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258 qprime->z *= 2.0;
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259 qprime->w *= 2.0;
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260
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261 quat_sq(qres);
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262 qres->x += seed->x;
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263 qres->y += seed->y;
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264 qres->z += seed->z;
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265 qres->w += seed->w;
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266
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267 if(quat_lensq(qres) > 8.0) {
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268 return 0;
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269 }
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270 }
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271
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272 return 1;
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273 }
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274
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275 float julia_dist(struct quat *z, struct quat *seed, int max_iter)
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276 {
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277 struct quat qprime, q;
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278
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279 /* calc julia at z */
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280 /*int inside = */julia(&q, &qprime, z, seed, max_iter);
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281
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282 float lenq = sqrt(quat_lensq(&q));
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283 float lenqp = sqrt(quat_lensq(&qprime));
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284 return 0.5 * lenq * log(lenq) / lenqp;
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285 }
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286
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287 #define OFFS 1e-4
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288 void julia_grad(float *grad, float dist, struct quat *q, struct quat *seed, int max_iter)
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289 {
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290 struct quat qnext = *q;
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291 struct quat qprev = *q;
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292
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293 qnext.w += OFFS;
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294 qprev.w -= OFFS;
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295 grad[0] = julia_dist(&qnext, seed, max_iter) - julia_dist(&qprev, seed, max_iter);
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296 qnext.w = qprev.w = q->w;
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297
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298 qnext.x += OFFS;
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299 qprev.x -= OFFS;
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300 grad[1] = julia_dist(&qnext, seed, max_iter) - julia_dist(&qprev, seed, max_iter);
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301 qnext.x = qprev.x = q->x;
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302
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303 qnext.y += OFFS;
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304 qprev.y -= OFFS;
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305 grad[2] = julia_dist(&qnext, seed, max_iter) - julia_dist(&qprev, seed, max_iter);
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306 }
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307
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308 void show_waitscr(void)
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309 {
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310 const char *text = "Please wait, generating fractal...";
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311 glClear(GL_COLOR_BUFFER_BIT);
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312
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313 glPushAttrib(GL_ENABLE_BIT);
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314 glDisable(GL_LIGHTING);
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315 glDisable(GL_DEPTH_TEST);
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316
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317 glMatrixMode(GL_PROJECTION);
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318 glPushMatrix();
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319 glLoadIdentity();
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320 glTranslatef(-0.75, 0, 0);
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321 glScalef(0.00075, 0.00075, 0.00075);
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322 glMatrixMode(GL_MODELVIEW);
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323
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324 glEnable(GL_LINE_SMOOTH);
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325 glEnable(GL_BLEND);
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326 glBlendFunc(GL_SRC_ALPHA, GL_ONE_MINUS_SRC_ALPHA);
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327
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328 glLineWidth(1.5);
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329
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330 glColor3f(1, 1, 1);
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331 while(*text) {
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332 glutStrokeCharacter(GLUT_STROKE_ROMAN, *text++);
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333 }
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334
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335 glMatrixMode(GL_PROJECTION);
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336 glPopMatrix();
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337
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338 glPopAttrib();
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339
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340 glutSwapBuffers();
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341 }
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