1 | /* Copyright (c) 2001, Stanford University
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2 | * All rights reserved
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3 | *
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4 | * See the file LICENSE.txt for information on redistributing this software.
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5 | */
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6 |
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7 | /*
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8 | * This code contributed by Karl Rasche <[email protected]>
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9 | */
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10 |
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11 |
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12 | #include <math.h>
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13 | #include "cr_server.h"
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14 | #include "cr_mem.h"
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15 | #include "server.h"
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16 |
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17 |
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18 | static void
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19 | __find_intersection(double *s, double *e, double *clp, double *clp_next,
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20 | double *intr)
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21 | {
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22 | double v1[2], v2[2];
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23 | double A, B, T;
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24 |
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25 | v1[0] = e[0] - s[0];
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26 | v1[1] = e[1] - s[1];
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27 | v2[0] = clp_next[0] - clp[0];
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28 | v2[1] = clp_next[1] - clp[1];
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29 |
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30 | if ((v1[1]) && (v2[0]))
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31 | {
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32 | A = (clp[1]-s[1])/v1[1] + (v2[1]/v1[1])*(s[0]-clp[0])/v2[0];
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33 | B = 1.-(v2[1]/v1[1])*(v1[0]/v2[0]);
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34 | if (B)
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35 | T = A/B;
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36 | else
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37 | {
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38 | T = 0;
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39 | }
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40 |
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41 | intr[0] = s[0]+T*v1[0];
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42 | intr[1] = s[1]+T*v1[1];
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43 | }
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44 | else
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45 | if (v1[1])
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46 | {
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47 | /* clp -> clp_next is vertical */
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48 | T = (clp[0]-s[0])/v1[0];
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49 |
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50 | intr[0] = s[0]+T*v1[0];
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51 | intr[1] = s[1]+T*v1[1];
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52 | }
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53 | else
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54 | {
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55 | /* s -> e is horizontal */
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56 | T = (s[1]-clp[1])/v2[1];
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57 |
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58 | intr[0] = clp[0]+T*v2[0];
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59 | intr[1] = clp[1]+T*v2[1];
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60 | }
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61 |
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62 | }
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63 |
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64 | static void
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65 | __clip_one_side(double *poly, int npnts, double *clp, double *clp_next,
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66 | double *norm,
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67 | double **new_poly_in, int *new_npnts_in,
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68 | double **new_poly_out, int *new_npnts_out)
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69 | {
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70 | int a, sin, ein;
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71 | double *s, *e, intr[2];
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72 |
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73 | *new_poly_in = (double *)crAlloc(2*npnts*2*sizeof(double));
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74 | *new_npnts_in = 0;
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75 |
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76 | *new_poly_out = (double *)crAlloc(2*npnts*2*sizeof(double));
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77 | *new_npnts_out = 0;
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78 |
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79 | s = poly;
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80 |
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81 | for (a=0; a<npnts; a++)
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82 | {
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83 | e = poly+2*((a+1)%npnts);
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84 |
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85 | if (((e[0]-clp[0])*norm[0]) + ((e[1]-clp[1])*norm[1]) >= 0)
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86 | ein = 0;
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87 | else
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88 | ein = 1;
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89 |
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90 | if (((s[0]-clp[0])*norm[0]) + ((s[1]-clp[1])*norm[1]) >= 0)
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91 | sin = 0;
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92 | else
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93 | sin = 1;
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94 |
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95 | if (sin && ein)
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96 | {
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97 | /* case 1: */
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98 | crMemcpy(*new_poly_in+2*(*new_npnts_in), e, 2*sizeof(double));
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99 | (*new_npnts_in)++;
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100 | }
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101 | else
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102 | if (sin && (!ein))
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103 | {
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104 | /* case 2: */
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105 |
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106 | __find_intersection(s, e, clp, clp_next, intr);
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107 |
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108 | crMemcpy(*new_poly_in+2*(*new_npnts_in), intr, 2*sizeof(double));
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109 | (*new_npnts_in)++;
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110 |
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111 | crMemcpy(*new_poly_out+2*(*new_npnts_out), intr, 2*sizeof(double));
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112 | (*new_npnts_out)++;
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113 | crMemcpy(*new_poly_out+2*(*new_npnts_out), e, 2*sizeof(double));
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114 | (*new_npnts_out)++;
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115 | }
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116 | else
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117 | if ((!sin) && ein)
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118 | {
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119 | /* case 4: */
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120 | __find_intersection(s, e, clp, clp_next, intr);
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121 |
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122 | crMemcpy((*new_poly_in)+2*(*new_npnts_in), intr, 2*sizeof(double));
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123 | (*new_npnts_in)++;
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124 | crMemcpy((*new_poly_in)+2*(*new_npnts_in), e, 2*sizeof(double));
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125 | (*new_npnts_in)++;
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126 |
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127 | crMemcpy(*new_poly_out+2*(*new_npnts_out), intr, 2*sizeof(double));
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128 | (*new_npnts_out)++;
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129 | }
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130 | else
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131 | {
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132 | crMemcpy(*new_poly_out+2*(*new_npnts_out), e, 2*sizeof(double));
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133 | (*new_npnts_out)++;
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134 | }
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135 |
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136 | s = e;
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137 | }
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138 | }
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139 |
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140 | /*
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141 | * Sutherland/Hodgman clipping for interior & exterior regions.
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142 | * length_of((*new_vert_out)[a]) == nclip_to_vert
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143 | */
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144 | static void
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145 | __clip(double *poly, int nvert, double *clip_to_poly, int nclip_to_vert,
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146 | double **new_vert_in, int *nnew_vert_in,
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147 | double ***new_vert_out, int **nnew_vert_out)
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148 | {
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149 | int a, side, *nout;
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150 | double *clip_normals, *s, *e, *n, *new_vert_src;
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151 | double *norm, *clp, *clp_next;
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152 | double **out;
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153 |
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154 | *new_vert_out = (double **)crAlloc(nclip_to_vert*sizeof(double *));
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155 | *nnew_vert_out = (int *)crAlloc(nclip_to_vert*sizeof(int));
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156 |
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157 | /*
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158 | * First, compute normals for the clip poly. This
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159 | * breaks for multiple (3+) adjacent colinear verticies
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160 | */
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161 | clip_normals = (double *)crAlloc(nclip_to_vert*2*sizeof(double));
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162 | for (a=0; a<nclip_to_vert; a++)
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163 | {
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164 | s = clip_to_poly+2*a;
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165 | e = clip_to_poly+2*((a+1)%nclip_to_vert);
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166 | n = clip_to_poly+2*((a+2)%nclip_to_vert);
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167 |
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168 | norm = clip_normals+2*a;
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169 | norm[0] = e[1]-s[1];
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170 | norm[1] = -1*(e[0]-s[0]);
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171 |
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172 | /*
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173 | * if dot(norm, n-e) > 0), the normals are backwards,
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174 | * assuming the clip region is convex
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175 | */
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176 | if (norm[0]*(n[0]-e[0]) + norm[1]*(n[1]-e[1]) > 0)
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177 | {
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178 | norm[0] *= -1;
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179 | norm[1] *= -1;
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180 | }
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181 | }
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182 |
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183 | new_vert_src = (double *)crAlloc(nvert*nclip_to_vert*2*sizeof(double));
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184 | crMemcpy(new_vert_src, poly, 2*nvert*sizeof(double));
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185 |
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186 | for (side=0; side<nclip_to_vert; side++)
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187 | {
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188 | clp = clip_to_poly+2*side;
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189 | clp_next = clip_to_poly+2*((side+1)%nclip_to_vert);
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190 | norm = clip_normals+2*side;
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191 | *nnew_vert_in = 0;
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192 |
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193 | nout = (*nnew_vert_out)+side;
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194 | out = (*new_vert_out)+side;
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195 |
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196 | __clip_one_side(new_vert_src, nvert, clp, clp_next, norm,
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197 | new_vert_in, nnew_vert_in,
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198 | out, nout);
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199 |
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200 | crMemcpy(new_vert_src, (*new_vert_in), 2*(*nnew_vert_in)*sizeof(double));
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201 | if (side != nclip_to_vert-1)
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202 | crFree(*new_vert_in);
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203 | nvert = *nnew_vert_in;
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204 | }
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205 | }
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206 |
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207 | /*
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208 | * Given a bitmap and a group of 'base' polygons [the quads we are testing],
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209 | * perform the unions and differences specified by the map and return
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210 | * the resulting geometry
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211 | */
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212 | static void
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213 | __execute_combination(CRPoly **base, int n, int *mask, CRPoly **head)
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214 | {
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215 | int a, b, got_intr;
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216 | int nin, *nout, last;
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217 | double *in, **out;
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218 | CRPoly *intr, *diff, *p;
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219 |
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220 | *head = NULL;
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221 |
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222 | intr = (CRPoly *)crAlloc(sizeof(CRPoly));
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223 | intr->next = NULL;
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224 |
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225 | got_intr = 0;
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226 |
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227 | /* first, intersect the first 2 polys marked */
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228 | for (a=0; a<n; a++)
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229 | if (mask[a]) break;
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230 | for (b=a+1; b<n; b++)
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231 | if (mask[b]) break;
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232 |
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233 | __clip(base[a]->points, base[a]->npoints,
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234 | base[b]->points, base[b]->npoints,
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235 | &in, &nin, &out, &nout);
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236 | last = b;
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237 |
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238 | crFree (nout);
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239 | for (a=0; a<base[last]->npoints; a++)
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240 | if (out[a])
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241 | crFree(out[a]);
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242 | crFree(out);
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243 |
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244 |
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245 | if (nin)
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246 | {
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247 | intr->npoints = nin;
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248 | intr->points = in;
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249 | got_intr = 1;
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250 | }
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251 |
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252 | while (1)
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253 | {
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254 | for (a=last+1; a<n; a++)
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255 | if (mask[a]) break;
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256 |
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257 | if (a == n) break;
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258 |
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259 | if (got_intr)
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260 | {
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261 | __clip(base[a]->points, base[a]->npoints,
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262 | intr->points, intr->npoints,
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263 | &in, &nin, &out, &nout);
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264 |
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265 | crFree (nout);
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266 | for (b=0; b<intr->npoints; b++)
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267 | if (out[b])
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268 | crFree(out[b]);
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269 | crFree(out);
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270 |
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271 | if (nin)
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272 | {
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273 | intr->npoints = nin;
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274 | intr->points = in;
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275 | }
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276 | else
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277 | {
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278 | got_intr = 0;
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279 | break;
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280 | }
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281 | }
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282 | else
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283 | {
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284 | __clip(base[a]->points, base[a]->npoints,
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285 | base[last]->points, base[last]->npoints,
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286 | &in, &nin, &out, &nout);
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287 |
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288 | crFree (nout);
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289 | for (b=0; b<base[last]->npoints; b++)
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290 | {
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291 | if (out[b])
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292 | crFree(out[b]);
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293 | }
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294 | crFree(out);
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295 |
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296 |
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297 | if (nin)
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298 | {
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299 | intr->npoints = nin;
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300 | intr->points = in;
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301 | got_intr = 1;
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302 | }
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303 | }
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304 |
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305 | last = a;
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306 | if (a == n) break;
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307 | }
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308 |
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309 | /* can't subract something from nothing! */
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310 | if (got_intr)
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311 | *head = intr;
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312 | else
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313 | return;
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314 |
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315 | /* find the first item to subtract */
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316 | for (a=0; a<n; a++)
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317 | if (!mask[a]) break;
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318 |
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319 | if (a == n) return;
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320 | last = a;
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321 |
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322 | /* and subtract it */
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323 | diff = NULL;
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324 | __clip(intr->points, intr->npoints,
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325 | base[last]->points, base[last]->npoints,
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326 | &in, &nin, &out, &nout);
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327 |
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328 | crFree(in);
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329 |
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330 | for (a=0; a<base[last]->npoints; a++)
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331 | {
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332 | if (!nout[a]) continue;
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333 |
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334 | p = (CRPoly *)crAlloc(sizeof(CRPoly));
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335 | p->npoints = nout[a];
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336 | p->points = out[a];
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337 | p->next = diff;
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338 | diff = p;
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339 | }
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340 | *head = diff;
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341 |
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342 | while (1)
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343 | {
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344 | intr = diff;
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345 | diff = NULL;
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346 |
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347 | for (a=last+1; a<n; a++)
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348 | if (!mask[a]) break;
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349 | if (a == n) return;
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350 |
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351 | last = a;
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352 |
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353 | /* subtract mask[a] from everything in intr and
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354 | * plop it into diff */
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355 | while (intr)
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356 | {
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357 | __clip(intr->points, intr->npoints,
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358 | base[last]->points, base[last]->npoints,
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359 | &in, &nin, &out, &nout);
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360 |
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361 | crFree(in);
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362 |
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363 | for (a=0; a<base[last]->npoints; a++)
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364 | {
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365 | if (!nout[a]) continue;
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366 |
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367 | p = (CRPoly *)crAlloc(sizeof(CRPoly));
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368 | p->npoints = nout[a];
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369 | p->points = out[a];
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370 | p->next = diff;
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371 | diff = p;
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372 | }
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373 |
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374 | intr = intr->next;
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375 | }
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376 |
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377 | *head = diff;
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378 | }
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379 |
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380 | }
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381 |
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382 | /*
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383 | * Here we generate all valid bitmaps to represent union/difference
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384 | * conbinations. Each bitmap is N elements long, where N is the
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385 | * number of polys [quads] that we are testing for overlap
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386 | */
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387 | static void
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388 | __generate_masks(int n, int ***mask, int *nmasks)
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389 | {
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390 | int a, b, c, d, e;
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391 | int i, idx, isec_size, add;
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392 |
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393 | *mask = (int **)crAlloc((unsigned int)pow(2, n)*sizeof(int));
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394 | for (a=0; a<pow(2, n); a++)
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395 | (*mask)[a] = (int *)crAlloc(n*sizeof(int));
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396 |
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397 | /* compute combinations */
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398 | idx = 0;
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399 | for (isec_size=1; isec_size<n; isec_size++)
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400 | {
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401 | for (a=0; a<n; a++)
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402 | {
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403 | for (b=a+1; b<n; b++)
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404 | {
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405 | crMemset((*mask)[idx], 0, n*sizeof(int));
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406 | (*mask)[idx][a] = 1;
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407 |
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408 | add = 1;
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409 | for (c=0; c<isec_size; c++)
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410 | {
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411 | i = (b+c) % n;
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412 | if (i == a) add = 0;
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413 |
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414 | (*mask)[idx][i] = 1;
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415 | }
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416 |
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417 | /* dup check */
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418 | if ((add) && (idx))
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419 | {
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420 | for (d=0; d<idx; d++)
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421 | {
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422 | add = 0;
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423 | for (e=0; e<n; e++)
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424 | {
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425 | if ((*mask)[idx][e] != (*mask)[d][e])
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426 | add = 1;
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427 | }
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428 |
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429 | if (!add)
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430 | break;
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431 | }
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432 | }
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433 |
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434 | if (add)
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435 | idx++;
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436 | }
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437 | }
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438 | }
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439 |
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440 | *nmasks = idx;
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441 | }
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442 |
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443 | /*
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444 | * To compute the overlap between a series of quads (This should work
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445 | * for n-gons, but we'll only need quads..), first generate a series of
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446 | * bitmaps that represent which elements to union together, and which
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447 | * to difference. This goes into 'mask'. We then evaluate each bitmap with
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448 | * Sutherland-Hodgman clipping to find the interior (union) and exterior
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449 | * (difference) regions.
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450 | *
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451 | * In the map, 1 == union, 0 == difference
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452 | *
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453 | * (*res)[a] is the head of a poly list for all the polys that conver
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454 | * regions of overlap between a+1 polys ((*res)[0] == NULL)
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455 | */
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456 | void
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457 | crComputeOverlapGeom(double *quads, int nquad, CRPoly ***res)
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458 | {
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459 | int a, b, idx, isec_size, **mask;
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460 | CRPoly *p, *next, **base;
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461 |
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462 | base = (CRPoly **)crAlloc(nquad*sizeof(CRPoly *));
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463 | for (a=0; a<nquad; a++)
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464 | {
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465 | p = (CRPoly *)crAlloc(sizeof(CRPoly));
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466 | p->npoints = 4;
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467 | p->points = (double *)crAlloc(8*sizeof(double));
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468 | for (b=0; b<8; b++)
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469 | {
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470 | p->points[b] = quads[8*a+b];
|
---|
471 | }
|
---|
472 | p->next = NULL;
|
---|
473 | base[a] = p;
|
---|
474 | }
|
---|
475 |
|
---|
476 | *res = (CRPoly **)crAlloc(nquad*sizeof(CRPoly *));
|
---|
477 | for (a=0; a<nquad; a++)
|
---|
478 | (*res)[a] = NULL;
|
---|
479 |
|
---|
480 | __generate_masks(nquad, &mask, &idx);
|
---|
481 |
|
---|
482 | for (a=0; a<idx; a++)
|
---|
483 | {
|
---|
484 | isec_size = 0;
|
---|
485 | for (b=0; b<nquad; b++)
|
---|
486 | if (mask[a][b]) isec_size++;
|
---|
487 | isec_size--;
|
---|
488 |
|
---|
489 | __execute_combination(base, nquad, mask[a], &p);
|
---|
490 |
|
---|
491 | while (p)
|
---|
492 | {
|
---|
493 | next = p->next;
|
---|
494 |
|
---|
495 | p->next = (*res)[isec_size];
|
---|
496 | (*res)[isec_size] = p;
|
---|
497 |
|
---|
498 | p = next;
|
---|
499 | }
|
---|
500 | }
|
---|
501 |
|
---|
502 | for (a=0; a<nquad; a++)
|
---|
503 | {
|
---|
504 | crFree(base[a]->points);
|
---|
505 | crFree(base[a]);
|
---|
506 | }
|
---|
507 | crFree(base);
|
---|
508 |
|
---|
509 | }
|
---|
510 |
|
---|
511 | /*
|
---|
512 | * This is similar to ComputeOverlapGeom above, but for "knockout"
|
---|
513 | * edge blending.
|
---|
514 | *
|
---|
515 | * my_quad_idx is an index of quads indicating which display tile
|
---|
516 | * we are computing geometry for. From this, we either generate
|
---|
517 | * geometry, or not, such that all geometry can be drawn in black
|
---|
518 | * and only one tile will show through the blend as non-black.
|
---|
519 | *
|
---|
520 | * To add a combination to our set of geom, we must test that:
|
---|
521 | * + mask[a][my_quad_idx] is set
|
---|
522 | * + mask[a][my_quad_idx] is not the first element set in
|
---|
523 | * mask[a].
|
---|
524 | * If these conditions hold, execute mask[a] and draw the resulting
|
---|
525 | * geometry in black
|
---|
526 | *
|
---|
527 | * Unlike ComputeOverlapGeom, res is just a list of polys to draw in black
|
---|
528 | */
|
---|
529 | void
|
---|
530 | crComputeKnockoutGeom(double *quads, int nquad, int my_quad_idx, CRPoly **res)
|
---|
531 | {
|
---|
532 | int a, b, idx, first, **mask;
|
---|
533 | CRPoly *p, *next, **base;
|
---|
534 |
|
---|
535 | base = (CRPoly **) crAlloc(nquad*sizeof(CRPoly *));
|
---|
536 | for (a=0; a<nquad; a++)
|
---|
537 | {
|
---|
538 | p = (CRPoly *) crAlloc(sizeof(CRPoly));
|
---|
539 | p->npoints = 4;
|
---|
540 | p->points = (double *) crAlloc(8*sizeof(double));
|
---|
541 | for (b=0; b<8; b++)
|
---|
542 | {
|
---|
543 | p->points[b] = quads[8*a+b];
|
---|
544 | }
|
---|
545 | p->next = NULL;
|
---|
546 | base[a] = p;
|
---|
547 | }
|
---|
548 |
|
---|
549 | (*res) = NULL;
|
---|
550 |
|
---|
551 | __generate_masks(nquad, &mask, &idx);
|
---|
552 |
|
---|
553 | for (a=0; a<idx; a++)
|
---|
554 | {
|
---|
555 | /* test for above conditions */
|
---|
556 | if (!mask[a][my_quad_idx]) continue;
|
---|
557 |
|
---|
558 | first = -1;
|
---|
559 | for (b=0; b<nquad; b++)
|
---|
560 | if (mask[a][b])
|
---|
561 | {
|
---|
562 | first = b;
|
---|
563 | break;
|
---|
564 | }
|
---|
565 | if (first == my_quad_idx) continue;
|
---|
566 |
|
---|
567 |
|
---|
568 | __execute_combination(base, nquad, mask[a], &p);
|
---|
569 |
|
---|
570 | while (p)
|
---|
571 | {
|
---|
572 | next = p->next;
|
---|
573 |
|
---|
574 | p->next = *res;
|
---|
575 | *res = p;
|
---|
576 |
|
---|
577 | p = next;
|
---|
578 | }
|
---|
579 | }
|
---|
580 |
|
---|
581 | for (a=0; a<nquad; a++)
|
---|
582 | {
|
---|
583 | crFree(base[a]->points);
|
---|
584 | crFree(base[a]);
|
---|
585 | }
|
---|
586 | crFree(base);
|
---|
587 | }
|
---|