1 | /* |
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2 | * TransFig: Facility for Translating Fig code |
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3 | * Copyright (c) 1985 Supoj Sutantavibul |
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4 | * Copyright (c) 1991 Micah Beck |
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5 | * |
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6 | * Permission to use, copy, modify, distribute, and sell this software and its |
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7 | * documentation for any purpose is hereby granted without fee, provided that |
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8 | * the above copyright notice appear in all copies and that both that |
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9 | * copyright notice and this permission notice appear in supporting |
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10 | * documentation. The authors make no representations about the suitability |
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11 | * of this software for any purpose. It is provided "as is" without express |
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12 | * or implied warranty. |
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13 | * |
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14 | * THE AUTHORS DISCLAIM ALL WARRANTIES WITH REGARD TO THIS SOFTWARE, |
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15 | * INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS, IN NO |
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16 | * EVENT SHALL THE AUTHORS BE LIABLE FOR ANY SPECIAL, INDIRECT OR |
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17 | * CONSEQUENTIAL DAMAGES OR ANY DAMAGES WHATSOEVER RESULTING FROM LOSS OF USE, |
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18 | * DATA OR PROFITS, WHETHER IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER |
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19 | * TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION WITH THE USE OR |
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20 | * PERFORMANCE OF THIS SOFTWARE. |
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21 | * |
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22 | */ |
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23 | |
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24 | #include <stdio.h> |
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25 | #include <math.h> |
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26 | #include "pi.h" |
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27 | #include "object.h" |
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28 | |
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29 | #define Ninety_deg M_PI_2 |
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30 | #define One_eighty_deg M_PI |
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31 | #define Two_seventy_deg (M_PI + M_PI_2) |
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32 | #define Three_sixty_deg (M_PI + M_PI) |
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33 | #define round(x) ((int) ((x) + ((x >= 0)? 0.5: -0.5))) |
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34 | #define half(z1 ,z2) ((z1+z2)/2.0) |
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35 | #define max(a, b) (((a) > (b)) ? (a) : (b)) |
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36 | #define min(a, b) (((a) < (b)) ? (a) : (b)) |
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37 | |
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38 | arc_bound(arc, xmin, ymin, xmax, ymax) |
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39 | F_arc *arc; |
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40 | int *xmin, *ymin, *xmax, *ymax; |
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41 | { |
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42 | double alpha, beta; |
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43 | double dx, dy, radius; |
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44 | int bx, by, sx, sy; |
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45 | |
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46 | dx = arc->point[0].x - arc->center.x; |
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47 | dy = arc->center.y - arc->point[0].y; |
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48 | alpha = atan2(dy, dx); |
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49 | if (alpha < 0.0) alpha += Three_sixty_deg; |
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50 | /* compute_angle returns value between 0 to 2PI */ |
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51 | |
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52 | radius = hypot(dx, dy); |
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53 | |
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54 | dx = arc->point[2].x - arc->center.x; |
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55 | dy = arc->center.y - arc->point[2].y; |
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56 | beta = atan2(dy, dx); |
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57 | if (beta < 0.0) beta += Three_sixty_deg; |
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58 | |
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59 | bx = max(arc->point[0].x, arc->point[1].x); |
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60 | bx = max(arc->point[2].x, bx); |
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61 | by = max(arc->point[0].y, arc->point[1].y); |
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62 | by = max(arc->point[2].y, by); |
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63 | sx = min(arc->point[0].x, arc->point[1].x); |
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64 | sx = min(arc->point[2].x, sx); |
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65 | sy = min(arc->point[0].y, arc->point[1].y); |
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66 | sy = min(arc->point[2].y, sy); |
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67 | |
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68 | if (arc->direction == 1) { /* counter clockwise */ |
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69 | if (alpha > beta) { |
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70 | if (alpha <= 0 || 0 <= beta) |
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71 | bx = (int)(arc->center.x + radius + 1.0); |
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72 | if (alpha <= Ninety_deg || Ninety_deg <= beta) |
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73 | sy = (int)(arc->center.y - radius - 1.0); |
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74 | if (alpha <= One_eighty_deg || One_eighty_deg <= beta) |
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75 | sx = (int)(arc->center.x - radius - 1.0); |
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76 | if (alpha <= Two_seventy_deg || Two_seventy_deg <= beta) |
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77 | by = (int)(arc->center.y + radius + 1.0); |
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78 | } |
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79 | else { |
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80 | if (0 <= beta && alpha <= 0) |
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81 | bx = (int)(arc->center.x + radius + 1.0); |
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82 | if (Ninety_deg <= beta && alpha <= Ninety_deg) |
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83 | sy = (int)(arc->center.y - radius - 1.0); |
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84 | if (One_eighty_deg <= beta && alpha <= One_eighty_deg) |
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85 | sx = (int)(arc->center.x - radius - 1.0); |
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86 | if (Two_seventy_deg <= beta && alpha <= Two_seventy_deg) |
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87 | by = (int)(arc->center.y + radius + 1.0); |
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88 | } |
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89 | } |
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90 | else { /* clockwise */ |
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91 | if (alpha > beta) { |
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92 | if (beta <= 0 && 0 <= alpha) |
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93 | bx = (int)(arc->center.x + radius + 1.0); |
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94 | if (beta <= Ninety_deg && Ninety_deg <= alpha) |
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95 | sy = (int)(arc->center.y - radius - 1.0); |
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96 | if (beta <= One_eighty_deg && One_eighty_deg <= alpha) |
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97 | sx = (int)(arc->center.x - radius - 1.0); |
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98 | if (beta <= Two_seventy_deg && Two_seventy_deg <= alpha) |
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99 | by = (int)(arc->center.y + radius + 1.0); |
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100 | } |
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101 | else { |
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102 | if (0 <= alpha || beta <= 0) |
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103 | bx = (int)(arc->center.x + radius + 1.0); |
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104 | if (Ninety_deg <= alpha || beta <= Ninety_deg) |
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105 | sy = (int)(arc->center.y - radius - 1.0); |
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106 | if (One_eighty_deg <= alpha || beta <= One_eighty_deg) |
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107 | sx = (int)(arc->center.x - radius - 1.0); |
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108 | if (Two_seventy_deg <= alpha || beta <= Two_seventy_deg) |
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109 | by = (int)(arc->center.y + radius + 1.0); |
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110 | } |
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111 | } |
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112 | *xmax = bx; *ymax = by; |
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113 | *xmin = sx; *ymin = sy; |
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114 | } |
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115 | |
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116 | compound_bound(compound, xmin, ymin, xmax, ymax, include) |
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117 | F_compound *compound; |
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118 | int *xmin, *ymin, *xmax, *ymax; |
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119 | int include; |
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120 | { |
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121 | F_arc *a; |
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122 | F_ellipse *e; |
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123 | F_compound *c; |
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124 | F_spline *s; |
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125 | F_line *l; |
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126 | F_text *t; |
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127 | int bx, by, sx, sy, first = 1; |
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128 | int llx, lly, urx, ury; |
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129 | |
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130 | while(compound != NULL) |
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131 | { |
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132 | for (a = compound->arcs; a != NULL; a = a->next) { |
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133 | arc_bound(a, &sx, &sy, &bx, &by); |
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134 | if (first) { |
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135 | first = 0; |
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136 | llx = sx; lly = sy; |
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137 | urx = bx; ury = by; |
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138 | } |
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139 | else { |
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140 | llx = min(llx, sx); lly = min(lly, sy); |
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141 | urx = max(urx, bx); ury = max(ury, by); |
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142 | } |
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143 | } |
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144 | |
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145 | for (c = compound->compounds; c != NULL; c = c->next) { |
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146 | compound_bound(c, &sx, &sy, &bx, &by); |
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147 | if (first) { |
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148 | first = 0; |
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149 | llx = sx; lly = sy; |
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150 | urx = bx; ury = by; |
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151 | } |
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152 | else { |
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153 | llx = min(llx, sx); lly = min(lly, sy); |
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154 | urx = max(urx, bx); ury = max(ury, by); |
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155 | } |
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156 | } |
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157 | |
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158 | for (e = compound->ellipses; e != NULL; e = e->next) { |
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159 | ellipse_bound(e, &sx, &sy, &bx, &by); |
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160 | if (first) { |
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161 | first = 0; |
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162 | llx = sx; lly = sy; |
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163 | urx = bx; ury = by; |
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164 | } |
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165 | else { |
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166 | llx = min(llx, sx); lly = min(lly, sy); |
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167 | urx = max(urx, bx); ury = max(ury, by); |
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168 | } |
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169 | } |
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170 | |
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171 | for (l = compound->lines; l != NULL; l = l->next) { |
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172 | line_bound(l, &sx, &sy, &bx, &by); |
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173 | if (first) { |
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174 | first = 0; |
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175 | llx = sx; lly = sy; |
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176 | urx = bx; ury = by; |
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177 | } |
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178 | else { |
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179 | llx = min(llx, sx); lly = min(lly, sy); |
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180 | urx = max(urx, bx); ury = max(ury, by); |
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181 | } |
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182 | } |
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183 | |
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184 | for (s = compound->splines; s != NULL; s = s->next) { |
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185 | spline_bound(s, &sx, &sy, &bx, &by); |
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186 | if (first) { |
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187 | first = 0; |
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188 | llx = sx; lly = sy; |
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189 | urx = bx; ury = by; |
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190 | } |
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191 | else { |
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192 | llx = min(llx, sx); lly = min(lly, sy); |
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193 | urx = max(urx, bx); ury = max(ury, by); |
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194 | } |
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195 | } |
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196 | |
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197 | for (t = compound->texts; t != NULL; t = t->next) { |
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198 | text_bound(t, &sx, &sy, &bx, &by, include); |
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199 | if (first) { |
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200 | first = 0; |
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201 | llx = sx; lly = sy; |
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202 | urx = bx; ury = by; |
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203 | } |
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204 | else { |
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205 | llx = min(llx, sx); lly = min(lly, sy); |
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206 | urx = max(urx, bx); ury = max(ury, by); |
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207 | } |
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208 | } |
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209 | compound = compound->next; |
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210 | } |
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211 | |
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212 | *xmin = llx; *ymin = lly; |
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213 | *xmax = urx; *ymax = ury; |
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214 | } |
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215 | |
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216 | ellipse_bound(e, xmin, ymin, xmax, ymax) |
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217 | F_ellipse *e; |
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218 | int *xmin, *ymin, *xmax, *ymax; |
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219 | { |
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220 | *xmin = e->center.x - e->radiuses.x; |
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221 | *ymin = e->center.y - e->radiuses.y; |
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222 | *xmax = e->center.x + e->radiuses.x; |
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223 | *ymax = e->center.y + e->radiuses.y; |
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224 | } |
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225 | |
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226 | line_bound(l, xmin, ymin, xmax, ymax) |
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227 | F_line *l; |
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228 | int *xmin, *ymin, *xmax, *ymax; |
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229 | { |
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230 | points_bound(l->points, xmin, ymin, xmax, ymax); |
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231 | } |
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232 | |
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233 | spline_bound(s, xmin, ymin, xmax, ymax) |
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234 | F_spline *s; |
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235 | int *xmin, *ymin, *xmax, *ymax; |
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236 | { |
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237 | if (int_spline(s)) { |
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238 | int_spline_bound(s, xmin, ymin, xmax, ymax); |
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239 | } |
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240 | else { |
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241 | normal_spline_bound(s, xmin, ymin, xmax, ymax); |
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242 | } |
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243 | } |
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244 | |
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245 | int_spline_bound(s, xmin, ymin, xmax, ymax) |
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246 | F_spline *s; |
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247 | int *xmin, *ymin, *xmax, *ymax; |
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248 | { |
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249 | F_point *p1, *p2; |
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250 | F_control *cp1, *cp2; |
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251 | double x0, y0, x1, y1, x2, y2, x3, y3, sx1, sy1, sx2, sy2; |
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252 | double tx, ty, tx1, ty1, tx2, ty2; |
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253 | double sx, sy, bx, by; |
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254 | |
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255 | p1 = s->points; |
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256 | sx = bx = p1->x; |
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257 | sy = by = p1->y; |
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258 | cp1 = s->controls; |
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259 | for (p2 = p1->next, cp2 = cp1->next; p2 != NULL; |
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260 | p1 = p2, cp1 = cp2, p2 = p2->next, cp2 = cp2->next) { |
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261 | x0 = p1->x; y0 = p1->y; |
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262 | x1 = cp1->rx; y1 = cp1->ry; |
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263 | x2 = cp2->lx; y2 = cp2->ly; |
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264 | x3 = p2->x; y3 = p2->y; |
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265 | tx = half(x1, x2); ty = half(y1, y2); |
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266 | sx1 = half(x0, x1); sy1 = half(y0, y1); |
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267 | sx2 = half(sx1, tx); sy2 = half(sy1, ty); |
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268 | tx2 = half(x2, x3); ty2 = half(y2, y3); |
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269 | tx1 = half(tx2, tx); ty1 = half(ty2, ty); |
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270 | |
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271 | sx = min(x0, sx); sy = min(y0, sy); |
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272 | sx = min(sx1, sx); sy = min(sy1, sy); |
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273 | sx = min(sx2, sx); sy = min(sy2, sy); |
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274 | sx = min(tx1, sx); sy = min(ty1, sy); |
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275 | sx = min(tx2, sx); sy = min(ty2, sy); |
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276 | sx = min(x3, sx); sy = min(y3, sy); |
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277 | |
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278 | bx = max(x0, bx); by = max(y0, by); |
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279 | bx = max(sx1, bx); by = max(sy1, by); |
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280 | bx = max(sx2, bx); by = max(sy2, by); |
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281 | bx = max(tx1, bx); by = max(ty1, by); |
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282 | bx = max(tx2, bx); by = max(ty2, by); |
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283 | bx = max(x3, bx); by = max(y3, by); |
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284 | } |
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285 | *xmin = round(sx); |
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286 | *ymin = round(sy); |
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287 | *xmax = round(bx); |
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288 | *ymax = round(by); |
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289 | } |
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290 | |
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291 | normal_spline_bound(s, xmin, ymin, xmax, ymax) |
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292 | F_spline *s; |
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293 | int *xmin, *ymin, *xmax, *ymax; |
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294 | { |
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295 | F_point *p; |
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296 | double cx1, cy1, cx2, cy2, cx3, cy3, cx4, cy4; |
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297 | double x1, y1, x2, y2, sx, sy, bx, by; |
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298 | double px, py, qx, qy; |
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299 | |
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300 | p = s->points; |
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301 | x1 = p->x; y1 = p->y; |
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302 | p = p->next; |
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303 | x2 = p->x; y2 = p->y; |
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304 | cx1 = (x1 + x2) / 2.0; cy1 = (y1 + y2) / 2.0; |
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305 | cx2 = (cx1 + x2) / 2.0; cy2 = (cy1 + y2) / 2.0; |
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306 | if (closed_spline(s)) { |
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307 | x1 = (cx1 + x1) / 2.0; |
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308 | y1 = (cy1 + y1) / 2.0; |
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309 | } |
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310 | sx = min(x1, cx2); sy = min(y1, cy2); |
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311 | bx = max(x1, cx2); by = max(y1, cy2); |
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312 | |
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313 | for (p = p->next; p != NULL; p = p->next) { |
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314 | x1 = x2; y1 = y2; |
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315 | x2 = p->x; y2 = p->y; |
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316 | cx4 = (x1 + x2) / 2.0; cy4 = (y1 + y2) / 2.0; |
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317 | cx3 = (x1 + cx4) / 2.0; cy3 = (y1 + cy4) / 2.0; |
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318 | cx2 = (cx4 + x2) / 2.0; cy2 = (cy4 + y2) / 2.0; |
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319 | |
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320 | px = min(cx2, cx3); py = min(cy2, cy3); |
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321 | qx = max(cx2, cx3); qy = max(cy2, cy3); |
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322 | |
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323 | sx = min(sx, px); sy = min(sy, py); |
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324 | bx = max(bx, qx); by = max(by, qy); |
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325 | } |
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326 | if (closed_spline(s)) { |
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327 | *xmin = round(sx); *ymin = round(sy); |
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328 | *xmax = round(bx); *ymax = round(by); |
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329 | } |
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330 | else { |
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331 | *xmin = round(min(sx, x2)); *ymin = round(min(sy, y2)); |
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332 | *xmax = round(max(bx, x2)); *ymax = round(max(by, y2)); |
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333 | } |
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334 | } |
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335 | |
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336 | double rot_x(x,y,angle) |
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337 | double x,y,angle; |
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338 | { |
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339 | return(x*cos(-angle)-y*sin(-angle)); |
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340 | } |
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341 | |
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342 | double rot_y(x,y,angle) |
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343 | double x,y,angle; |
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344 | { |
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345 | return(x*sin(-angle)+y*cos(-angle)); |
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346 | } |
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347 | |
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348 | |
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349 | text_bound(t, xmin, ymin, xmax, ymax, include) |
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350 | F_text *t; |
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351 | int *xmin, *ymin, *xmax, *ymax; |
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352 | int include; |
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353 | { |
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354 | double dx1, dx2, dx3, dx4, dy1, dy2, dy3, dy4; |
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355 | |
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356 | if (t->type == T_CENTER_JUSTIFIED) { |
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357 | dx1 = (t->length/2); dy1 = 0.0; |
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358 | dx2 = -(t->length/2); dy2 = 0.0; |
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359 | dx3 = (t->length/2); dy3 = -t->height; |
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360 | dx4 = -(t->length/2); dy4 = -t->height; |
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361 | } else if (t->type == T_RIGHT_JUSTIFIED) { |
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362 | dx1 = 0.0; dy1 = 0.0; |
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363 | dx2 = -t->length; dy2 = 0.0; |
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364 | dx3 = 0.0; dy3 = -t->height; |
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365 | dx4 = -t->length; dy4 = -t->height; |
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366 | } else { |
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367 | dx1 = (include ? t->length : 0); dy1 = 0.0; |
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368 | dx2 = 0.0; dy2 = 0.0; |
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369 | dx3 = (include ? t->length : 0); dy3 = -t->height; |
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370 | dx4 = 0.0; dy4 = -t->height; |
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371 | } |
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372 | *xmax= t->base_x + |
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373 | max( max( rot_x(dx1,dy1,t->angle), rot_x(dx2,dy2,t->angle) ), |
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374 | max( rot_x(dx3,dy3,t->angle), rot_x(dx4,dy4,t->angle) ) ); |
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375 | *ymax= t->base_y + |
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376 | max( max( rot_y(dx1,dy1,t->angle), rot_y(dx2,dy2,t->angle) ), |
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377 | max( rot_y(dx3,dy3,t->angle), rot_y(dx4,dy4,t->angle) ) ); |
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378 | |
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379 | *xmin= t->base_x + |
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380 | min( min( rot_x(dx1,dy1,t->angle), rot_x(dx2,dy2,t->angle) ), |
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381 | min( rot_x(dx3,dy3,t->angle), rot_x(dx4,dy4,t->angle) ) ); |
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382 | *ymin= t->base_y + |
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383 | min( min( rot_y(dx1,dy1,t->angle), rot_y(dx2,dy2,t->angle) ), |
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384 | min( rot_y(dx3,dy3,t->angle), rot_y(dx4,dy4,t->angle) ) ); |
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385 | } |
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386 | |
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387 | points_bound(points, xmin, ymin, xmax, ymax) |
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388 | F_point *points; |
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389 | int *xmin, *ymin, *xmax, *ymax; |
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390 | { |
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391 | int bx, by, sx, sy; |
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392 | F_point *p; |
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393 | |
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394 | bx = sx = points->x; by = sy = points->y; |
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395 | for (p = points->next; p != NULL; p = p->next) { |
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396 | sx = min(sx, p->x); sy = min(sy, p->y); |
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397 | bx = max(bx, p->x); by = max(by, p->y); |
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398 | } |
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399 | *xmin = sx; *ymin = sy; |
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400 | *xmax = bx; *ymax = by; |
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401 | } |
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402 | |
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403 | control_points_bound(cps, xmin, ymin, xmax, ymax) |
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404 | F_control *cps; |
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405 | int *xmin, *ymin, *xmax, *ymax; |
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406 | { |
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407 | F_control *c; |
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408 | double bx, by, sx, sy; |
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409 | |
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410 | bx = sx = cps->lx; |
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411 | by = sy = cps->ly; |
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412 | sx = min(sx, cps->rx); sy = min(sy, cps->ry); |
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413 | bx = max(bx, cps->rx); by = max(by, cps->ry); |
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414 | for (c = cps->next; c != NULL; c = c->next) { |
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415 | sx = min(sx, c->lx); sy = min(sy, c->ly); |
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416 | bx = max(bx, c->lx); by = max(by, c->ly); |
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417 | sx = min(sx, c->rx); sy = min(sy, c->ry); |
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418 | bx = max(bx, c->rx); by = max(by, c->ry); |
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419 | } |
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420 | *xmin = round(sx); *ymin = round(sy); |
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421 | *xmax = round(bx); *ymax = round(by); |
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422 | } |
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