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1 #include <stdio.h>
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2 #include <stdlib.h>
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3 #include <stdarg.h>
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4 #include <assert.h>
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5 #include <GL/glut.h>
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6 #include <vmath/vmath.h>
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7 #include <drawtext.h>
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8
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9 bool init();
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10 void display();
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11 void draw_grid();
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12 void draw_frustum();
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13 void draw_label(const Vector2 &pos, const char *fmt, ...);
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14 void reshape(int x, int y);
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15 void keyb(unsigned char key, int x, int y);
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16 void keyb_up(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 Vector2 screen_to_world(int x, int y);
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20 Vector2 project(const Vector2 &v);
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21 Vector2 unproject(const Vector2 &v);
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22
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23 int win_xsz, win_ysz;
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24 float aspect;
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25
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26 Matrix4x4 proj;
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27 Vector2 cur_point;
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28 bool cur_point_valid;
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29
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30 float proj_near = 0.5, proj_far = 50.0;
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31 float proj_vfov = 50.0;
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32
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33 bool keystate[256];
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34 dtx_font *font;
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35 float pan[2] = {0, 0.85}, zoom = 0.4;
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36
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37 int main(int argc, char **argv)
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38 {
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39 glutInit(&argc, argv);
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40 glutInitWindowSize(1024, 768);
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41 glutInitDisplayMode(GLUT_RGB | GLUT_DOUBLE | GLUT_MULTISAMPLE);
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42 glutCreateWindow("Interactive projection diagram");
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43
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44 glutDisplayFunc(display);
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45 glutReshapeFunc(reshape);
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46 glutKeyboardFunc(keyb);
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47 glutKeyboardUpFunc(keyb_up);
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48 glutMouseFunc(mouse);
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49 glutMotionFunc(motion);
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50
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51 if(!init()) {
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52 return 1;
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53 }
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54
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55 glutMainLoop();
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56 return 0;
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57 }
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58
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59 bool init()
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60 {
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61 if(!(font = dtx_open_font("data/font.ttf", 16))) {
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62 fprintf(stderr, "failed to open font\n");
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63 return false;
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64 }
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65
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66 glEnable(GL_MULTISAMPLE);
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67 proj.set_perspective(DEG_TO_RAD(proj_vfov), 1, 1.0, 50.0);
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68 return true;
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69 }
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70
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71 void display()
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72 {
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73 glClear(GL_COLOR_BUFFER_BIT);
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74
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75 glMatrixMode(GL_MODELVIEW);
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76 glLoadIdentity();
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77 glTranslatef(-pan[0], -pan[1], 0);
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78 glScalef(zoom, zoom, zoom);
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79
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80 draw_grid();
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81
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82 draw_frustum();
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83
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84 if(cur_point_valid) {
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85 Vector2 ppt = project(cur_point);
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86
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87 glPointSize(7.0);
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88 glBegin(GL_POINTS);
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89 glColor3f(0.2, 1, 0.2);
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90 glVertex2f(cur_point.x, cur_point.y);
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91 glColor3f(0.7, 0.2, 0.2);
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92 glVertex2f(ppt.x, ppt.y);
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93 glEnd();
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94
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95 glEnable(GL_LINE_STIPPLE);
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96 glLineStipple(4, 0xe0e0);
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97
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98 glBegin(GL_LINES);
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99 glColor3f(0.2, 0.5, 0.2);
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100 glVertex2f(cur_point.x, cur_point.y);
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101 glColor3f(0.5, 0.2, 0.2);
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102 glVertex2f(ppt.x, ppt.y);
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103 glEnd();
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104 glDisable(GL_LINE_STIPPLE);
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105
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106 glColor3f(0.15, 0.5, 0.15);
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107 draw_label(cur_point, "(%.2f, %.2f)", cur_point.x, cur_point.y);
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108 glColor3f(0.4, 0.1, 0.1);
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109 draw_label(ppt, "(%.2f, %.2f)", ppt.x, ppt.y);
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110 }
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111
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112 glutSwapBuffers();
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113 assert(glGetError() == GL_NO_ERROR);
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114 }
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115
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116 #define LINE(x0, y0, x1, y1) (glVertex2f(x0, y0), glVertex2f(x1, y1))
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117
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118 void draw_grid()
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119 {
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120 float ymin = -10;
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121 float ymax = 10;
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122 float xmin = -10;
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123 float xmax = 10;
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124 float ticksz = 0.015 / zoom;
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125
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126 glBegin(GL_LINES);
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127 glColor3f(1, 1, 1);
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128 LINE(0, -10, 0, 10);
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129 LINE(-10, 0, 10, 0);
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130
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131 for(int i=1; i<11; i++) {
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132 for(int j=0; j<2; j++) {
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133 float x = 10.0 * (float)i / 10.0 * (j ? -1.0 : 1.0);
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134
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135 glColor3f(0.15, 0.15, 0.15);
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136 LINE(x, ymin, x, ymax);
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137 LINE(xmin, x, xmax, x);
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138
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139 glColor3f(0.4, 0.4, 0.4);
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140 LINE(x, -ticksz, x, ticksz);
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141 LINE(-ticksz, x, ticksz, x);
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142 }
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143 }
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144 glEnd();
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145 }
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146
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147 void draw_frustum()
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148 {
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149 Vector2 v0, v1;
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150
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151 glBegin(GL_LINES);
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152 glColor3f(0.2, 0.4, 0.8);
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153
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154 v0 = unproject(Vector2(1, 0));
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155 v1 = unproject(Vector2(1, 1));
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156 LINE(v0.x, v0.y, v1.x, v1.y);
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157
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158 v0 = unproject(Vector2(-1, 0));
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159 v1 = unproject(Vector2(-1, 1));
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160 LINE(v0.x, v0.y, v1.x, v1.y);
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161
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162 LINE(-0.5, proj_near, 0.5, proj_near);
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163
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164 glEnd();
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165 }
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166
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167 void draw_label(const Vector2 &pos, const char *fmt, ...)
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168 {
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169 static char buf[512];
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170 va_list ap;
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171
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172 va_start(ap, fmt);
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173 vsnprintf(buf, sizeof buf - 1, fmt, ap);
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174 va_end(ap);
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175
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176 glPushMatrix();
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177 glTranslatef(pos.x + 0.01, pos.y + 0.01, 0);
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178 float s = 2.0 / (win_ysz * zoom);
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179 glScalef(s, s, s);
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180
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181 dtx_string(buf);
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182
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183 glPopMatrix();
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184 }
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185
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186 void reshape(int x, int y)
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187 {
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188 win_xsz = x;
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189 win_ysz = y;
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190 aspect = (float)x / (float)y;
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191
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192 glViewport(0, 0, x, y);
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193
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194 glMatrixMode(GL_PROJECTION);
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195 glLoadIdentity();
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196 glScalef(1.0 / aspect, 1.0, 1.0);
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197 }
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198
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199 void keyb(unsigned char key, int x, int y)
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200 {
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201 keystate[key] = 1;
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202
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203 switch(key) {
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204 case 27:
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205 exit(0);
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206 }
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207 }
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208
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209 void keyb_up(unsigned char key, int x, int y)
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210 {
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211 keystate[key] = 0;
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212 }
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213
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214 bool bnstate[16];
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215 int prev_x, prev_y;
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216
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217 void mouse(int bn, int st, int x, int y)
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218 {
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219 bnstate[bn - GLUT_LEFT_BUTTON] = st == GLUT_DOWN;
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220 prev_x = x;
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221 prev_y = y;
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222
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223 if(bn == GLUT_LEFT_BUTTON && st == GLUT_DOWN) {
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224 cur_point = screen_to_world(x, y);
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225 cur_point_valid = true;
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226 glutPostRedisplay();
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227 }
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228 }
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229
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230 void motion(int x, int y)
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231 {
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232 float dx = 2.0 * aspect * (x - prev_x) / (float)win_xsz;
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233 float dy = 2.0 * (y - prev_y) / (float)win_ysz;
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234 prev_x = x;
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235 prev_y = y;
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236
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237 if(bnstate[0]) {
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238 cur_point = screen_to_world(x, y);
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239 glutPostRedisplay();
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240 }
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241 if(bnstate[1]) {
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242 pan[0] -= dx;
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243 pan[1] += dy;
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244
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245 glutPostRedisplay();
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246 }
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247 if(bnstate[2]) {
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248 zoom += dy;
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249
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250 if(zoom < 1e-4) zoom = 1e-4;
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251 glutPostRedisplay();
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252 }
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253 }
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254
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255 Vector2 screen_to_world(int px, int py)
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256 {
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257 /* canonical [-1, 1] system */
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258 float x = aspect * ((float)px * 2.0 / (float)win_xsz - 1.0);
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259 float y = (float)(win_ysz - py) * 2.0 / (float)win_ysz - 1.0;
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260
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261 /* account for pan & zoom */
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262 x = (x + pan[0]) / zoom;
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263 y = (y + pan[1]) / zoom;
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264
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265 return Vector2(x, y);
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266 }
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267
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268 Vector2 project(const Vector2 &v)
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269 {
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270 Vector4 ppt = Vector4(v.x, 0, -v.y, 1).transformed(proj);
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271 return Vector2(ppt.x / ppt.w, ppt.z / ppt.w);
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272 }
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273
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274 Vector2 unproject(const Vector2 &v)
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275 {
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276 Vector4 v4 = Vector4(v.x, 0.0, v.y, 1.0);
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277 Matrix4x4 inv_proj = proj.inverse();
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278
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279 Vector4 res4 = v4.transformed(inv_proj);
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280 return Vector2(res4.x / res4.w, -res4.z / res4.w);
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281 }
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