1 | /* |
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2 | rsvg-path.c: Parse SVG path element data into bezier path. |
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3 | |
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4 | Copyright (C) 2000 Eazel, Inc. |
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5 | |
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6 | This program is free software; you can redistribute it and/or |
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7 | modify it under the terms of the GNU Library General Public License as |
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8 | published by the Free Software Foundation; either version 2 of the |
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9 | License, or (at your option) any later version. |
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10 | |
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11 | This program is distributed in the hope that it will be useful, |
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12 | but WITHOUT ANY WARRANTY; without even the implied warranty of |
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13 | MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU |
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14 | Library General Public License for more details. |
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15 | |
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16 | You should have received a copy of the GNU Library General Public |
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17 | License along with this program; if not, write to the |
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18 | Free Software Foundation, Inc., 59 Temple Place - Suite 330, |
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19 | Boston, MA 02111-1307, USA. |
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20 | |
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21 | Author: Raph Levien <raph@artofcode.com> |
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22 | */ |
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23 | |
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24 | /* This is adapted from svg-path in Gill. */ |
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25 | |
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26 | #include "config.h" |
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27 | #include "rsvg-path.h" |
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28 | |
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29 | #include <glib/gtypes.h> |
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30 | #include <math.h> |
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31 | #include <stdlib.h> |
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32 | #include <string.h> |
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33 | |
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34 | /* This module parses an SVG path element into an RsvgBpathDef. |
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35 | |
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36 | At present, there is no support for <marker> or any other contextual |
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37 | information from the SVG file. The API will need to change rather |
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38 | significantly to support these. |
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39 | |
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40 | Reference: SVG working draft 3 March 2000, section 8. |
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41 | */ |
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42 | |
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43 | #ifndef M_PI |
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44 | #define M_PI 3.14159265358979323846 |
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45 | #endif /* M_PI */ |
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46 | |
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47 | typedef struct _RSVGParsePathCtx RSVGParsePathCtx; |
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48 | |
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49 | struct _RSVGParsePathCtx { |
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50 | RsvgBpathDef *bpath; |
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51 | double cpx, cpy; /* current point */ |
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52 | double rpx, rpy; /* reflection point (for 's' and 't' commands) */ |
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53 | char cmd; /* current command (lowercase) */ |
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54 | int param; /* parameter number */ |
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55 | gboolean rel; /* true if relative coords */ |
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56 | double params[7]; /* parameters that have been parsed */ |
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57 | }; |
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58 | |
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59 | static void |
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60 | rsvg_path_arc_segment (RSVGParsePathCtx *ctx, |
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61 | double xc, double yc, |
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62 | double th0, double th1, |
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63 | double rx, double ry, double x_axis_rotation) |
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64 | { |
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65 | double sin_th, cos_th; |
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66 | double a00, a01, a10, a11; |
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67 | double x1, y1, x2, y2, x3, y3; |
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68 | double t; |
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69 | double th_half; |
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70 | |
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71 | sin_th = sin (x_axis_rotation * (M_PI / 180.0)); |
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72 | cos_th = cos (x_axis_rotation * (M_PI / 180.0)); |
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73 | /* inverse transform compared with rsvg_path_arc */ |
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74 | a00 = cos_th * rx; |
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75 | a01 = -sin_th * ry; |
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76 | a10 = sin_th * rx; |
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77 | a11 = cos_th * ry; |
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78 | |
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79 | th_half = 0.5 * (th1 - th0); |
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80 | t = (8.0 / 3.0) * sin (th_half * 0.5) * sin (th_half * 0.5) / sin (th_half); |
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81 | x1 = xc + cos (th0) - t * sin (th0); |
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82 | y1 = yc + sin (th0) + t * cos (th0); |
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83 | x3 = xc + cos (th1); |
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84 | y3 = yc + sin (th1); |
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85 | x2 = x3 + t * sin (th1); |
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86 | y2 = y3 - t * cos (th1); |
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87 | rsvg_bpath_def_curveto (ctx->bpath, |
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88 | a00 * x1 + a01 * y1, a10 * x1 + a11 * y1, |
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89 | a00 * x2 + a01 * y2, a10 * x2 + a11 * y2, |
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90 | a00 * x3 + a01 * y3, a10 * x3 + a11 * y3); |
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91 | } |
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92 | |
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93 | /** |
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94 | * rsvg_path_arc: Add an RSVG arc to the path context. |
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95 | * @ctx: Path context. |
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96 | * @rx: Radius in x direction (before rotation). |
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97 | * @ry: Radius in y direction (before rotation). |
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98 | * @x_axis_rotation: Rotation angle for axes. |
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99 | * @large_arc_flag: 0 for arc length <= 180, 1 for arc >= 180. |
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100 | * @sweep: 0 for "negative angle", 1 for "positive angle". |
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101 | * @x: New x coordinate. |
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102 | * @y: New y coordinate. |
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103 | * |
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104 | **/ |
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105 | static void |
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106 | rsvg_path_arc (RSVGParsePathCtx *ctx, |
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107 | double rx, double ry, double x_axis_rotation, |
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108 | int large_arc_flag, int sweep_flag, |
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109 | double x, double y) |
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110 | { |
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111 | double sin_th, cos_th; |
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112 | double a00, a01, a10, a11; |
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113 | double x0, y0, x1, y1, xc, yc; |
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114 | double d, sfactor, sfactor_sq; |
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115 | double th0, th1, th_arc; |
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116 | int i, n_segs; |
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117 | |
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118 | sin_th = sin (x_axis_rotation * (M_PI / 180.0)); |
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119 | cos_th = cos (x_axis_rotation * (M_PI / 180.0)); |
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120 | a00 = cos_th / rx; |
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121 | a01 = sin_th / rx; |
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122 | a10 = -sin_th / ry; |
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123 | a11 = cos_th / ry; |
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124 | x0 = a00 * ctx->cpx + a01 * ctx->cpy; |
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125 | y0 = a10 * ctx->cpx + a11 * ctx->cpy; |
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126 | x1 = a00 * x + a01 * y; |
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127 | y1 = a10 * x + a11 * y; |
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128 | /* (x0, y0) is current point in transformed coordinate space. |
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129 | (x1, y1) is new point in transformed coordinate space. |
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130 | |
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131 | The arc fits a unit-radius circle in this space. |
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132 | */ |
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133 | d = (x1 - x0) * (x1 - x0) + (y1 - y0) * (y1 - y0); |
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134 | sfactor_sq = 1.0 / d - 0.25; |
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135 | if (sfactor_sq < 0) sfactor_sq = 0; |
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136 | sfactor = sqrt (sfactor_sq); |
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137 | if (sweep_flag == large_arc_flag) sfactor = -sfactor; |
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138 | xc = 0.5 * (x0 + x1) - sfactor * (y1 - y0); |
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139 | yc = 0.5 * (y0 + y1) + sfactor * (x1 - x0); |
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140 | /* (xc, yc) is center of the circle. */ |
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141 | |
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142 | th0 = atan2 (y0 - yc, x0 - xc); |
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143 | th1 = atan2 (y1 - yc, x1 - xc); |
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144 | |
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145 | th_arc = th1 - th0; |
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146 | if (th_arc < 0 && sweep_flag) |
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147 | th_arc += 2 * M_PI; |
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148 | else if (th_arc > 0 && !sweep_flag) |
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149 | th_arc -= 2 * M_PI; |
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150 | |
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151 | n_segs = ceil (fabs (th_arc / (M_PI * 0.5 + 0.001))); |
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152 | |
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153 | for (i = 0; i < n_segs; i++) |
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154 | rsvg_path_arc_segment (ctx, xc, yc, |
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155 | th0 + i * th_arc / n_segs, |
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156 | th0 + (i + 1) * th_arc / n_segs, |
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157 | rx, ry, x_axis_rotation); |
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158 | |
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159 | ctx->cpx = x; |
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160 | ctx->cpy = y; |
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161 | } |
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162 | |
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163 | |
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164 | /* supply defaults for missing parameters, assuming relative coordinates |
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165 | are to be interpreted as x,y */ |
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166 | static void |
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167 | rsvg_parse_path_default_xy (RSVGParsePathCtx *ctx, int n_params) |
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168 | { |
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169 | int i; |
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170 | |
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171 | if (ctx->rel) |
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172 | { |
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173 | for (i = ctx->param; i < n_params; i++) |
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174 | { |
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175 | if (i > 2) |
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176 | ctx->params[i] = ctx->params[i - 2]; |
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177 | else if (i == 1) |
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178 | ctx->params[i] = ctx->cpy; |
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179 | else if (i == 0) |
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180 | /* we shouldn't get here (usually ctx->param > 0 as |
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181 | precondition) */ |
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182 | ctx->params[i] = ctx->cpx; |
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183 | } |
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184 | } |
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185 | else |
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186 | { |
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187 | for (i = ctx->param; i < n_params; i++) |
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188 | ctx->params[i] = 0.0; |
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189 | } |
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190 | } |
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191 | |
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192 | static void |
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193 | rsvg_parse_path_do_cmd (RSVGParsePathCtx *ctx, gboolean final) |
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194 | { |
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195 | double x1, y1, x2, y2, x3, y3; |
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196 | |
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197 | switch (ctx->cmd) |
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198 | { |
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199 | case 'm': |
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200 | /* moveto */ |
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201 | if (ctx->param == 2 || final) |
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202 | { |
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203 | rsvg_parse_path_default_xy (ctx, 2); |
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204 | rsvg_bpath_def_moveto (ctx->bpath, |
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205 | ctx->params[0], ctx->params[1]); |
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206 | ctx->cpx = ctx->rpx = ctx->params[0]; |
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207 | ctx->cpy = ctx->rpy = ctx->params[1]; |
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208 | ctx->param = 0; |
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209 | } |
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210 | break; |
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211 | case 'l': |
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212 | /* lineto */ |
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213 | if (ctx->param == 2 || final) |
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214 | { |
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215 | rsvg_parse_path_default_xy (ctx, 2); |
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216 | rsvg_bpath_def_lineto (ctx->bpath, |
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217 | ctx->params[0], ctx->params[1]); |
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218 | ctx->cpx = ctx->rpx = ctx->params[0]; |
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219 | ctx->cpy = ctx->rpy = ctx->params[1]; |
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220 | ctx->param = 0; |
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221 | } |
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222 | break; |
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223 | case 'c': |
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224 | /* curveto */ |
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225 | if (ctx->param == 6 || final) |
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226 | { |
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227 | rsvg_parse_path_default_xy (ctx, 6); |
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228 | x1 = ctx->params[0]; |
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229 | y1 = ctx->params[1]; |
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230 | x2 = ctx->params[2]; |
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231 | y2 = ctx->params[3]; |
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232 | x3 = ctx->params[4]; |
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233 | y3 = ctx->params[5]; |
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234 | rsvg_bpath_def_curveto (ctx->bpath, |
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235 | x1, y1, x2, y2, x3, y3); |
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236 | ctx->rpx = x2; |
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237 | ctx->rpy = y2; |
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238 | ctx->cpx = x3; |
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239 | ctx->cpy = y3; |
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240 | ctx->param = 0; |
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241 | } |
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242 | break; |
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243 | case 's': |
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244 | /* smooth curveto */ |
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245 | if (ctx->param == 4 || final) |
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246 | { |
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247 | rsvg_parse_path_default_xy (ctx, 4); |
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248 | x1 = 2 * ctx->cpx - ctx->rpx; |
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249 | y1 = 2 * ctx->cpy - ctx->rpy; |
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250 | x2 = ctx->params[0]; |
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251 | y2 = ctx->params[1]; |
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252 | x3 = ctx->params[2]; |
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253 | y3 = ctx->params[3]; |
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254 | rsvg_bpath_def_curveto (ctx->bpath, |
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255 | x1, y1, x2, y2, x3, y3); |
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256 | ctx->rpx = x2; |
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257 | ctx->rpy = y2; |
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258 | ctx->cpx = x3; |
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259 | ctx->cpy = y3; |
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260 | ctx->param = 0; |
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261 | } |
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262 | break; |
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263 | case 'h': |
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264 | /* horizontal lineto */ |
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265 | if (ctx->param == 1) |
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266 | { |
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267 | rsvg_bpath_def_lineto (ctx->bpath, |
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268 | ctx->params[0], ctx->cpy); |
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269 | ctx->cpx = ctx->rpx = ctx->params[0]; |
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270 | ctx->param = 0; |
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271 | } |
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272 | break; |
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273 | case 'v': |
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274 | /* vertical lineto */ |
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275 | if (ctx->param == 1) |
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276 | { |
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277 | rsvg_bpath_def_lineto (ctx->bpath, |
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278 | ctx->cpx, ctx->params[0]); |
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279 | ctx->cpy = ctx->rpy = ctx->params[0]; |
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280 | ctx->param = 0; |
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281 | } |
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282 | break; |
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283 | case 'q': |
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284 | /* quadratic bezier curveto */ |
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285 | |
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286 | /* non-normative reference: |
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287 | http://www.icce.rug.nl/erikjan/bluefuzz/beziers/beziers/beziers.html |
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288 | */ |
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289 | if (ctx->param == 4 || final) |
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290 | { |
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291 | rsvg_parse_path_default_xy (ctx, 4); |
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292 | /* raise quadratic bezier to cubic */ |
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293 | x1 = (ctx->cpx + 2 * ctx->params[0]) * (1.0 / 3.0); |
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294 | y1 = (ctx->cpy + 2 * ctx->params[1]) * (1.0 / 3.0); |
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295 | x3 = ctx->params[2]; |
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296 | y3 = ctx->params[3]; |
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297 | x2 = (x3 + 2 * ctx->params[0]) * (1.0 / 3.0); |
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298 | y2 = (y3 + 2 * ctx->params[1]) * (1.0 / 3.0); |
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299 | rsvg_bpath_def_curveto (ctx->bpath, |
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300 | x1, y1, x2, y2, x3, y3); |
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301 | ctx->rpx = x2; |
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302 | ctx->rpy = y2; |
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303 | ctx->cpx = x3; |
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304 | ctx->cpy = y3; |
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305 | ctx->param = 0; |
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306 | } |
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307 | break; |
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308 | case 't': |
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309 | /* Truetype quadratic bezier curveto */ |
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310 | if (ctx->param == 2 || final) |
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311 | { |
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312 | double xc, yc; /* quadratic control point */ |
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313 | |
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314 | xc = 2 * ctx->cpx - ctx->rpx; |
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315 | yc = 2 * ctx->cpy - ctx->rpy; |
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316 | /* generate a quadratic bezier with control point = xc, yc */ |
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317 | x1 = (ctx->cpx + 2 * xc) * (1.0 / 3.0); |
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318 | y1 = (ctx->cpy + 2 * yc) * (1.0 / 3.0); |
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319 | x3 = ctx->params[0]; |
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320 | y3 = ctx->params[1]; |
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321 | x2 = (x3 + 2 * xc) * (1.0 / 3.0); |
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322 | y2 = (y3 + 2 * yc) * (1.0 / 3.0); |
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323 | rsvg_bpath_def_curveto (ctx->bpath, |
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324 | x1, y1, x2, y2, x3, y3); |
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325 | ctx->rpx = xc; |
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326 | ctx->rpy = yc; |
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327 | ctx->cpx = x3; |
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328 | ctx->cpy = y3; |
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329 | ctx->param = 0; |
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330 | } |
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331 | else if (final) |
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332 | { |
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333 | if (ctx->param > 2) |
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334 | { |
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335 | rsvg_parse_path_default_xy (ctx, 4); |
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336 | /* raise quadratic bezier to cubic */ |
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337 | x1 = (ctx->cpx + 2 * ctx->params[0]) * (1.0 / 3.0); |
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338 | y1 = (ctx->cpy + 2 * ctx->params[1]) * (1.0 / 3.0); |
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339 | x3 = ctx->params[2]; |
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340 | y3 = ctx->params[3]; |
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341 | x2 = (x3 + 2 * ctx->params[0]) * (1.0 / 3.0); |
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342 | y2 = (y3 + 2 * ctx->params[1]) * (1.0 / 3.0); |
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343 | rsvg_bpath_def_curveto (ctx->bpath, |
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344 | x1, y1, x2, y2, x3, y3); |
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345 | ctx->rpx = x2; |
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346 | ctx->rpy = y2; |
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347 | ctx->cpx = x3; |
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348 | ctx->cpy = y3; |
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349 | } |
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350 | else |
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351 | { |
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352 | rsvg_parse_path_default_xy (ctx, 2); |
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353 | rsvg_bpath_def_lineto (ctx->bpath, |
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354 | ctx->params[0], ctx->params[1]); |
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355 | ctx->cpx = ctx->rpx = ctx->params[0]; |
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356 | ctx->cpy = ctx->rpy = ctx->params[1]; |
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357 | } |
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358 | ctx->param = 0; |
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359 | } |
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360 | break; |
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361 | case 'a': |
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362 | if (ctx->param == 7 || final) |
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363 | { |
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364 | rsvg_path_arc (ctx, |
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365 | ctx->params[0], ctx->params[1], ctx->params[2], |
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366 | ctx->params[3], ctx->params[4], |
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367 | ctx->params[5], ctx->params[6]); |
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368 | ctx->param = 0; |
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369 | } |
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370 | break; |
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371 | default: |
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372 | ctx->param = 0; |
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373 | } |
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374 | } |
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375 | |
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376 | static void |
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377 | rsvg_parse_path_data (RSVGParsePathCtx *ctx, const char *data) |
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378 | { |
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379 | int i = 0; |
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380 | double val = 0; |
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381 | char c = 0; |
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382 | gboolean in_num = FALSE; |
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383 | gboolean in_frac = FALSE; |
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384 | gboolean in_exp = FALSE; |
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385 | gboolean exp_wait_sign = FALSE; |
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386 | int sign = 0; |
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387 | int exp = 0; |
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388 | int exp_sign = 0; |
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389 | double frac = 0.0; |
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390 | |
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391 | in_num = FALSE; |
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392 | for (i = 0; ; i++) |
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393 | { |
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394 | c = data[i]; |
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395 | if (c >= '0' && c <= '9') |
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396 | { |
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397 | /* digit */ |
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398 | if (in_num) |
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399 | { |
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400 | if (in_exp) |
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401 | { |
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402 | exp = (exp * 10) + c - '0'; |
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403 | exp_wait_sign = FALSE; |
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404 | } |
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405 | else if (in_frac) |
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406 | val += (frac *= 0.1) * (c - '0'); |
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407 | else |
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408 | val = (val * 10) + c - '0'; |
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409 | } |
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410 | else |
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411 | { |
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412 | in_num = TRUE; |
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413 | in_frac = FALSE; |
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414 | in_exp = FALSE; |
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415 | exp = 0; |
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416 | exp_sign = 1; |
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417 | exp_wait_sign = FALSE; |
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418 | val = c - '0'; |
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419 | sign = 1; |
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420 | } |
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421 | } |
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422 | else if (c == '.') |
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423 | { |
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424 | if (!in_num) |
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425 | { |
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426 | in_num = TRUE; |
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427 | val = 0; |
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428 | } |
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429 | in_frac = TRUE; |
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430 | frac = 1; |
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431 | } |
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432 | else if ((c == 'E' || c == 'e') && in_num) |
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433 | { |
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434 | in_exp = TRUE; |
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435 | exp_wait_sign = TRUE; |
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436 | exp = 0; |
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437 | exp_sign = 1; |
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438 | } |
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439 | else if ((c == '+' || c == '-') && in_exp) |
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440 | { |
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441 | exp_sign = c == '+' ? 1 : -1; |
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442 | } |
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443 | else if (in_num) |
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444 | { |
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445 | /* end of number */ |
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446 | |
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447 | val *= sign * pow (10, exp_sign * exp); |
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448 | if (ctx->rel) |
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449 | { |
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450 | /* Handle relative coordinates. This switch statement attempts |
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451 | to determine _what_ the coords are relative to. This is |
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452 | underspecified in the 12 Apr working draft. */ |
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453 | switch (ctx->cmd) |
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454 | { |
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455 | case 'l': |
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456 | case 'm': |
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457 | case 'c': |
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458 | case 's': |
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459 | case 'q': |
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460 | case 't': |
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461 | #ifndef RSVGV_RELATIVE |
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462 | /* rule: even-numbered params are x-relative, odd-numbered |
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463 | are y-relative */ |
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464 | if ((ctx->param & 1) == 0) |
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465 | val += ctx->cpx; |
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466 | else if ((ctx->param & 1) == 1) |
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467 | val += ctx->cpy; |
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468 | break; |
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469 | #else |
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470 | /* rule: even-numbered params are x-relative, odd-numbered |
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471 | are y-relative */ |
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472 | if (ctx->param == 0 || (ctx->param % 2 == 0)) |
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473 | val += ctx->cpx; |
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474 | else |
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475 | val += ctx->cpy; |
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476 | break; |
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477 | #endif |
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478 | case 'a': |
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479 | /* rule: sixth and seventh are x and y, rest are not |
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480 | relative */ |
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481 | if (ctx->param == 5) |
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482 | val += ctx->cpx; |
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483 | else if (ctx->param == 6) |
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484 | val += ctx->cpy; |
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485 | break; |
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486 | case 'h': |
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487 | /* rule: x-relative */ |
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488 | val += ctx->cpx; |
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489 | break; |
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490 | case 'v': |
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491 | /* rule: y-relative */ |
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492 | val += ctx->cpy; |
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493 | break; |
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494 | } |
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495 | } |
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496 | ctx->params[ctx->param++] = val; |
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497 | rsvg_parse_path_do_cmd (ctx, FALSE); |
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498 | in_num = FALSE; |
---|
499 | } |
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500 | |
---|
501 | if (c == '\0') |
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502 | break; |
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503 | else if ((c == '+' || c == '-') && !exp_wait_sign) |
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504 | { |
---|
505 | sign = c == '+' ? 1 : -1;; |
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506 | val = 0; |
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507 | in_num = TRUE; |
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508 | in_frac = FALSE; |
---|
509 | in_exp = FALSE; |
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510 | exp = 0; |
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511 | exp_sign = 1; |
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512 | exp_wait_sign = FALSE; |
---|
513 | } |
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514 | else if (c == 'z' || c == 'Z') |
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515 | { |
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516 | if (ctx->param) |
---|
517 | rsvg_parse_path_do_cmd (ctx, TRUE); |
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518 | rsvg_bpath_def_closepath (ctx->bpath); |
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519 | } |
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520 | else if (c >= 'A' && c <= 'Z' && c != 'E') |
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521 | { |
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522 | if (ctx->param) |
---|
523 | rsvg_parse_path_do_cmd (ctx, TRUE); |
---|
524 | ctx->cmd = c + 'a' - 'A'; |
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525 | ctx->rel = FALSE; |
---|
526 | } |
---|
527 | else if (c >= 'a' && c <= 'z' && c != 'e') |
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528 | { |
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529 | if (ctx->param) |
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530 | rsvg_parse_path_do_cmd (ctx, TRUE); |
---|
531 | ctx->cmd = c; |
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532 | ctx->rel = TRUE; |
---|
533 | } |
---|
534 | /* else c _should_ be whitespace or , */ |
---|
535 | } |
---|
536 | } |
---|
537 | |
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538 | RsvgBpathDef * |
---|
539 | rsvg_parse_path (const char *path_str) |
---|
540 | { |
---|
541 | RSVGParsePathCtx ctx; |
---|
542 | |
---|
543 | ctx.bpath = rsvg_bpath_def_new (); |
---|
544 | ctx.cpx = 0.0; |
---|
545 | ctx.cpy = 0.0; |
---|
546 | ctx.cmd = 0; |
---|
547 | ctx.param = 0; |
---|
548 | |
---|
549 | rsvg_parse_path_data (&ctx, path_str); |
---|
550 | |
---|
551 | if (ctx.param) |
---|
552 | rsvg_parse_path_do_cmd (&ctx, TRUE); |
---|
553 | |
---|
554 | return ctx.bpath; |
---|
555 | } |
---|
556 | |
---|