Mercurial > ecos
annotate packages/services/gfx/mw/current/src/engine/devarc.c @ 208:e0c0827131d1 ecos
Merge from eCos master repository on 2002-05-20-20:11:54-BST
| author | jlarmour |
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| date | Mon, 20 May 2002 22:19:26 +0000 |
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1 /* |
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2 * Copyright (c) 2000-2001 Greg Haerr <greg@censoft.com> |
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3 * |
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4 * Device-independent arc, pie and ellipse routines. |
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5 * GdArc is integer only and requires start/end points. |
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6 * GdArcAngle requires floating point and uses angles. |
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7 * GdArcAngle uses qsin() and qcos() instead of sin() / cos() |
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8 * so no math lib needed. |
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9 * |
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10 * Portions Copyright (c) 1991 David I. Bell |
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11 * Permission is granted to use, distribute, or modify this source, |
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12 * provided that this copyright notice remains intact. |
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13 * |
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14 * Arc line clipping and integer qsin/qcos routines used by permission: |
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15 * Copyright (C) 1997-1998 by Eero Tamminen |
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16 * Bugfixed by Greg Haerr |
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17 */ |
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18 |
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19 #include <stdio.h> |
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20 #include "device.h" |
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21 |
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22 #if HAVEFLOAT /* =1 compiles in GdArcAngle*/ |
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23 #define HIGHPRECISION 0 /* =1 for high precision angles, uses mathlib*/ |
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24 |
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25 #if !HIGHPRECISION |
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26 typedef float FLOAT; |
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27 /* |
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28 * qsin/qcos - calculate sin() and cos() approximations from a lookup table |
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29 * |
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30 * This uses a cosine lookup table of 0-90 degrees at one degree steps |
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31 * with the difference between successive values used for interpolation. |
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32 * The achieved accuracy should be about +/-0.0001. If you want more |
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33 * accuracy, use doubles and smaller steps. If you want more speed, use |
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34 * fixed point arithmetics. |
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35 */ |
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36 static float cosine[91][2] = { |
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37 { 1.000000, -1.523048e-04 }, |
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38 { 0.999848, -4.568681e-04 }, |
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39 { 0.999391, -7.612923e-04 }, |
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40 { 0.998630, -1.065484e-03 }, |
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41 { 0.997564, -1.369352e-03 }, |
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42 { 0.996195, -1.672803e-03 }, |
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43 { 0.994522, -1.975744e-03 }, |
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44 { 0.992546, -2.278083e-03 }, |
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45 { 0.990268, -2.579728e-03 }, |
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46 { 0.987688, -2.880588e-03 }, |
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47 { 0.984808, -3.180570e-03 }, |
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48 { 0.981627, -3.479583e-03 }, |
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49 { 0.978148, -3.777536e-03 }, |
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50 { 0.974370, -4.074339e-03 }, |
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51 { 0.970296, -4.369900e-03 }, |
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52 { 0.965926, -4.664130e-03 }, |
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53 { 0.961262, -4.956940e-03 }, |
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54 { 0.956305, -5.248240e-03 }, |
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55 { 0.951057, -5.537941e-03 }, |
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56 { 0.945519, -5.825955e-03 }, |
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57 { 0.939693, -6.112194e-03 }, |
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58 { 0.933580, -6.396572e-03 }, |
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59 { 0.927184, -6.679001e-03 }, |
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60 { 0.920505, -6.959396e-03 }, |
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61 { 0.913545, -7.237671e-03 }, |
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62 { 0.906308, -7.513741e-03 }, |
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63 { 0.898794, -7.787522e-03 }, |
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64 { 0.891007, -8.058931e-03 }, |
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65 { 0.882948, -8.327886e-03 }, |
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66 { 0.874620, -8.594303e-03 }, |
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67 { 0.866025, -8.858103e-03 }, |
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68 { 0.857167, -9.119205e-03 }, |
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69 { 0.848048, -9.377528e-03 }, |
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70 { 0.838671, -9.632995e-03 }, |
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71 { 0.829038, -9.885528e-03 }, |
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72 { 0.819152, -1.013505e-02 }, |
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73 { 0.809017, -1.038148e-02 }, |
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74 { 0.798636, -1.062476e-02 }, |
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75 { 0.788011, -1.086479e-02 }, |
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76 { 0.777146, -1.110152e-02 }, |
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77 { 0.766044, -1.133486e-02 }, |
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78 { 0.754710, -1.156475e-02 }, |
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79 { 0.743145, -1.179112e-02 }, |
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80 { 0.731354, -1.201390e-02 }, |
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81 { 0.719340, -1.223302e-02 }, |
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82 { 0.707107, -1.244841e-02 }, |
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83 { 0.694658, -1.266001e-02 }, |
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84 { 0.681998, -1.286775e-02 }, |
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85 { 0.669131, -1.307158e-02 }, |
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86 { 0.656059, -1.327142e-02 }, |
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87 { 0.642788, -1.346722e-02 }, |
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88 { 0.629320, -1.365892e-02 }, |
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89 { 0.615661, -1.384645e-02 }, |
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90 { 0.601815, -1.402977e-02 }, |
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91 { 0.587785, -1.420882e-02 }, |
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92 { 0.573576, -1.438353e-02 }, |
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93 { 0.559193, -1.455387e-02 }, |
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94 { 0.544639, -1.471977e-02 }, |
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95 { 0.529919, -1.488119e-02 }, |
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96 { 0.515038, -1.503807e-02 }, |
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97 { 0.500000, -1.519038e-02 }, |
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98 { 0.484810, -1.533806e-02 }, |
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99 { 0.469472, -1.548106e-02 }, |
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100 { 0.453990, -1.561935e-02 }, |
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101 { 0.438371, -1.575289e-02 }, |
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102 { 0.422618, -1.588162e-02 }, |
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103 { 0.406737, -1.600551e-02 }, |
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104 { 0.390731, -1.612454e-02 }, |
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105 { 0.374607, -1.623864e-02 }, |
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106 { 0.358368, -1.634781e-02 }, |
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107 { 0.342020, -1.645199e-02 }, |
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108 { 0.325568, -1.655116e-02 }, |
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109 { 0.309017, -1.664529e-02 }, |
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110 { 0.292372, -1.673435e-02 }, |
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111 { 0.275637, -1.681831e-02 }, |
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112 { 0.258819, -1.689715e-02 }, |
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113 { 0.241922, -1.697084e-02 }, |
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114 { 0.224951, -1.703936e-02 }, |
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115 { 0.207912, -1.710270e-02 }, |
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116 { 0.190809, -1.716082e-02 }, |
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117 { 0.173648, -1.721371e-02 }, |
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118 { 0.156434, -1.726136e-02 }, |
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119 { 0.139173, -1.730376e-02 }, |
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120 { 0.121869, -1.734088e-02 }, |
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121 { 0.104528, -1.737272e-02 }, |
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122 { 0.087156, -1.739927e-02 }, |
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123 { 0.069756, -1.742052e-02 }, |
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124 { 0.052336, -1.743646e-02 }, |
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125 { 0.034899, -1.744709e-02 }, |
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126 { 0.017452, -1.745241e-02 }, |
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127 { 0.000000, -1.745241e-02 } |
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128 }; |
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129 |
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130 static float |
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131 qcos(FLOAT angle) |
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132 { |
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133 short a, b, c; |
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134 |
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135 a = angle; |
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136 if (a < 0) { |
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137 angle = a - angle; |
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138 a = -a; |
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139 } else { |
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140 angle = angle - a; |
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141 } |
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142 b = a / 90; |
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143 c = a - b * 90; |
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144 |
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145 /* interpolate according to angle */ |
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146 switch(b&3) { |
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147 case 3: |
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148 c = 90 - c; |
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149 return cosine[c][0] - cosine[c-1][1] * angle; |
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150 case 2: |
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151 return -(cosine[c][0] + cosine[c][1] * angle); |
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152 case 1: |
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153 c = 90 - c; |
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154 return cosine[c-1][1] * angle - cosine[c][0]; |
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155 default: |
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156 return cosine[c][0] + cosine[c][1] * angle; |
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157 } |
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158 } |
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159 |
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160 static float |
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161 qsin(FLOAT angle) |
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162 { |
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163 short a, b, c; |
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164 |
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165 /* change to cosine by subtracting 90 */ |
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166 a = (int)angle - 90; |
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167 if (a < 0) { |
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168 angle = (a + 90) - angle; |
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169 a = -a; |
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170 } else { |
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171 angle = angle - (a + 90); |
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172 } |
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173 b = a / 90; |
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174 c = a - b * 90; |
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175 |
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176 /* interpolate according to angle */ |
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177 switch(b&3) { |
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178 case 3: |
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179 c = 90 - c; |
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180 return cosine[c][0] - cosine[c-1][1] * angle; |
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181 case 2: |
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182 return -(cosine[c][0] + cosine[c][1] * angle); |
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183 case 1: |
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184 c = 90 - c; |
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185 return cosine[c-1][1] * angle - cosine[c][0]; |
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186 default: |
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187 return cosine[c][0] + cosine[c][1] * angle; |
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188 } |
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189 } |
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190 #else /* HIGHPRECISION*/ |
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191 |
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192 #include <math.h> |
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193 #define qcos QCOS |
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194 #define qsin QSIN |
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195 typedef double FLOAT; |
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196 |
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197 FLOAT QCOS(FLOAT a) |
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198 { |
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199 return cos(a * M_PI / 180.); |
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200 } |
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201 |
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202 FLOAT QSIN(FLOAT a) |
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203 { |
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204 return sin(a * M_PI / 180.); |
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205 } |
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206 #endif /* HIGHPRECISION*/ |
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207 #endif /* HAVEFLOAT*/ |
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208 |
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209 /* |
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210 * Draw an arc or pie, angles are specified in 64th's of a degree. |
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211 * This function requires floating point, use GdArc for integer only. |
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212 */ |
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213 void |
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214 GdArcAngle(PSD psd, MWCOORD x0, MWCOORD y0, MWCOORD rx, MWCOORD ry, |
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215 MWCOORD angle1, MWCOORD angle2, int type) |
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216 { |
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217 #if HAVEFLOAT |
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218 MWCOORD ax, ay, bx, by; |
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219 FLOAT a, b; |
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220 |
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221 /* calculate pie edge offsets from center to the ellipse rim */ |
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222 ax = qcos(angle1/64.) * rx; |
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223 bx = qcos(angle2/64.) * rx; |
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224 |
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225 a = -qsin(angle1/64.); |
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226 b = -qsin(angle2/64.); |
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227 ay = a * ry; |
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228 by = b * ry; |
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229 |
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230 /* call integer routine*/ |
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231 GdArc(psd, x0, y0, rx, ry, ax, ay, bx, by, type); |
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232 #endif /* HAVEFLOAT*/ |
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233 } |
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234 |
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235 /* argument holder for pie, arc and ellipse functions*/ |
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236 typedef struct { |
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237 PSD psd; |
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238 MWCOORD x0, y0; |
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239 MWCOORD rx, ry; |
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240 MWCOORD ax, ay; |
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241 MWCOORD bx, by; |
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242 int adir, bdir; |
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243 int type; |
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244 } SLICE; |
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245 |
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246 extern void drawpoint(PSD psd, MWCOORD x, MWCOORD y); |
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247 extern void drawrow(PSD psd, MWCOORD x1, MWCOORD x2, MWCOORD y); |
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248 |
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249 /* |
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250 * Clip a line segment for arc or pie drawing. |
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251 * Returns 0 if line is clipped or on acceptable side, 1 if it's vertically |
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252 * on other side, otherwise 3. |
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253 */ |
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254 static int |
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255 clip_line(SLICE *slice, MWCOORD xe, MWCOORD ye, int dir, MWCOORD y, MWCOORD *x0, |
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256 MWCOORD *x1) |
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257 { |
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258 #if 0 |
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259 /* |
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260 * kluge: handle 180 degree case |
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261 */ |
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262 if (y >= 0 && ye == 0) { |
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263 /*printf("cl %d,%d %d,%d %d,%d %d,%d %d,%d\n", xe, ye, y, dir, |
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264 slice->ax, slice->ay, slice->bx, slice->by, slice->adir, slice->bdir);*/ |
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265 /* bottom 180*/ |
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266 if (slice->adir < 0) { |
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267 if (slice->ay || slice->by) |
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268 return 1; |
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269 if (slice->ax == -slice->bx) |
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270 return 0; |
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271 } |
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272 return 3; |
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273 } |
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274 #endif |
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275 /* hline on the same vertical side with the given edge? */ |
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276 if ((y >= 0 && ye >= 0) || (y < 0 && ye < 0)) { |
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277 MWCOORD x; |
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278 |
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279 if (ye == 0) x = xe; else |
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280 x = (MWCOORD)(long)xe * y / ye; |
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281 |
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282 if (x >= *x0 && x <= *x1) { |
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283 if (dir > 0) |
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284 *x0 = x; |
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285 else |
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286 *x1 = x; |
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287 return 0; |
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288 } else { |
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289 if (dir > 0) { |
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290 if (x <= *x0) |
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291 return 0; |
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292 } else { |
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293 if (x >= *x1) |
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294 return 0; |
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295 } |
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296 } |
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297 return 3; |
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298 } |
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299 return 1; |
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300 } |
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301 |
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302 /* relative offsets, direction from left to right. */ |
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303 static void |
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304 draw_line(SLICE *slice, MWCOORD x0, MWCOORD y, MWCOORD x1) |
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305 { |
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306 int dbl = (slice->adir > 0 && slice->bdir < 0); |
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307 int discard, ret; |
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308 MWCOORD x2 = x0, x3 = x1; |
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309 |
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310 if (y == 0) { |
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311 if (slice->type != MWPIE) |
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312 return; |
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313 /* edges on different sides */ |
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314 if ((slice->ay <= 0 && slice->by >= 0) || |
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315 (slice->ay >= 0 && slice->by <= 0)) { |
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316 if (slice->adir < 0) { |
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317 if (x1 > 0) |
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318 x1 = 0; |
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319 } |
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320 if (slice->bdir > 0) { |
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321 if (x0 < 0) |
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322 x0 = 0; |
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323 } |
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324 } else { |
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325 if (!dbl) { |
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326 /* FIXME leaving in draws dot in center*/ |
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327 drawpoint(slice->psd, slice->x0, slice->y0); |
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328 return; |
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329 } |
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330 } |
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331 drawrow(slice->psd, slice->x0 + x0, slice->x0 + x1, slice->y0); |
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332 return; |
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333 } |
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334 |
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335 /* clip left edge / line */ |
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336 ret = clip_line(slice, slice->ax, slice->ay, slice->adir, y, &x0, &x1); |
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337 |
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338 if (dbl) { |
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339 if (!ret) { |
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340 /* edges separate line to two parts */ |
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341 drawrow(slice->psd, slice->x0 + x0, slice->x0 + x1, |
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342 slice->y0 + y); |
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343 x0 = x2; |
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344 x1 = x3; |
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345 } |
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346 } else { |
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347 if (ret > 1) { |
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348 return; |
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349 } |
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350 } |
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351 |
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352 discard = ret; |
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353 ret = clip_line(slice, slice->bx, slice->by, slice->bdir, y, &x0, &x1); |
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354 |
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355 discard += ret; |
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356 if (discard > 2 && !(dbl && ret == 0 && discard == 3)) { |
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357 return; |
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358 } |
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359 if (discard == 2) { |
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360 /* line on other side than slice */ |
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361 if (slice->adir < 0 || slice->bdir > 0) { |
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362 return; |
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363 } |
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364 } |
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365 drawrow(slice->psd, slice->x0 + x0, slice->x0 + x1, slice->y0 + y); |
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366 } |
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367 |
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368 /* draw one line segment or set of points, called from drawarc routine*/ |
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369 static void |
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370 drawarcsegment(SLICE *slice, MWCOORD xp, MWCOORD yp) |
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371 { |
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372 switch (slice->type) { |
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373 case MWELLIPSEFILL: |
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374 /* draw ellipse fill segment*/ |
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375 drawrow(slice->psd, slice->x0-xp, slice->x0+xp, slice->y0-yp); |
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376 drawrow(slice->psd, slice->x0-xp, slice->x0+xp, slice->y0+yp); |
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377 return; |
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378 |
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379 case MWELLIPSE: |
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380 /* set four points symmetrically situated around a point*/ |
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381 drawpoint(slice->psd, slice->x0 + xp, slice->y0 + yp); |
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382 drawpoint(slice->psd, slice->x0 - xp, slice->y0 + yp); |
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383 drawpoint(slice->psd, slice->x0 + xp, slice->y0 - yp); |
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384 drawpoint(slice->psd, slice->x0 - xp, slice->y0 - yp); |
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385 return; |
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386 |
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387 case MWPIE: |
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388 /* draw top and bottom halfs of pie*/ |
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389 draw_line(slice, -xp, -yp, +xp); |
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390 draw_line(slice, -xp, +yp, +xp); |
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391 return; |
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392 |
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393 default: /* MWARC, MWARCOUTLINE*/ |
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394 /* set four points symmetrically around a point and clip*/ |
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395 draw_line(slice, +xp, +yp, +xp); |
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396 draw_line(slice, -xp, +yp, -xp); |
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397 draw_line(slice, +xp, -yp, +xp); |
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398 draw_line(slice, -xp, -yp, -xp); |
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399 return; |
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400 } |
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401 } |
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402 |
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403 /* General routine to plot points on an arc. Used by arc, pie and ellipse*/ |
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404 static void |
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405 drawarc(SLICE *slice) |
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406 { |
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407 MWCOORD xp, yp; /* current point (based on center) */ |
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408 MWCOORD rx, ry; |
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409 long Asquared; /* square of x semi axis */ |
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410 long TwoAsquared; |
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411 long Bsquared; /* square of y semi axis */ |
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412 long TwoBsquared; |
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413 long d; |
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414 long dx, dy; |
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415 |
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416 rx = slice->rx; |
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417 ry = slice->ry; |
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418 |
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419 xp = 0; |
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420 yp = ry; |
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421 Asquared = rx * rx; |
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422 TwoAsquared = 2 * Asquared; |
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423 Bsquared = ry * ry; |
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424 TwoBsquared = 2 * Bsquared; |
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425 d = Bsquared - Asquared * ry + (Asquared >> 2); |
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426 dx = 0; |
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427 dy = TwoAsquared * ry; |
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428 |
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429 while (dx < dy) { |
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430 drawarcsegment(slice, xp, yp); |
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431 if (d > 0) { |
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432 yp--; |
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433 dy -= TwoAsquared; |
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434 d -= dy; |
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435 } |
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436 xp++; |
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437 dx += TwoBsquared; |
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438 d += (Bsquared + dx); |
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439 } |
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440 |
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441 d += ((3L * (Asquared - Bsquared) / 2L - (dx + dy)) >> 1); |
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442 |
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443 while (yp >= 0) { |
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444 drawarcsegment(slice, xp, yp); |
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445 if (d < 0) { |
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446 xp++; |
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447 dx += TwoBsquared; |
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448 d += dx; |
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449 } |
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450 yp--; |
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451 dy -= TwoAsquared; |
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452 d += (Asquared - dy); |
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453 } |
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454 |
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455 } |
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456 |
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457 /* |
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458 * Draw an arc or pie using start/end points. |
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459 * Integer only routine. To specify start/end angles, |
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460 * use GdArcAngle, which requires floating point. |
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461 */ |
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462 void |
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463 GdArc(PSD psd, MWCOORD x0, MWCOORD y0, MWCOORD rx, MWCOORD ry, |
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464 MWCOORD ax, MWCOORD ay, MWCOORD bx, MWCOORD by, int type) |
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465 { |
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466 MWCOORD adir, bdir; |
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467 SLICE slice; |
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468 |
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469 if (rx <= 0 || ry <= 0) |
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470 return; |
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471 |
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472 /* |
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473 * Calculate right/left side clipping, based on quadrant. |
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474 * dir is positive when right side is filled and negative when |
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475 * left side is to be filled. |
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476 * |
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477 * >= 0 is bottom half |
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478 */ |
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479 if (ay >= 0) |
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480 adir = 1; |
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481 else |
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482 adir = -1; |
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483 |
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484 if (by >= 0) |
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485 bdir = -1; |
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486 else |
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487 bdir = 1; |
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488 |
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489 /* |
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490 * The clip_line routine has problems around the 0 and |
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491 * 180 degree axes. |
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492 * This <fix> is required to make the clip_line algorithm |
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493 * work. Getting these routines to work for all angles is |
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494 * a bitch. And they're still buggy. Doing this causes |
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495 * half circles to be outlined with a slightly bent line |
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496 * on the x axis. FIXME |
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497 */ |
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498 if (ay == 0) ++ay; |
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499 if (by == 0) ++by; |
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500 |
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501 /* swap rightmost edge first */ |
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502 if (bx > ax) { |
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503 MWCOORD swap; |
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504 |
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505 swap = ax; |
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506 ax = bx; |
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507 bx = swap; |
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508 |
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509 swap = ay; |
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510 ay = by; |
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511 by = swap; |
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512 |
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513 swap = adir; |
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514 adir = bdir; |
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515 bdir = swap; |
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516 } |
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517 |
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518 /* check for entire area clipped, draw with per-point clipping*/ |
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519 if (GdClipArea(psd, x0-rx, y0-ry, x0+rx, y0+ry) == CLIP_INVISIBLE) |
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520 return; |
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521 |
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522 slice.psd = psd; |
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523 slice.x0 = x0; |
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524 slice.y0 = y0; |
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525 slice.rx = rx; |
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526 slice.ry = ry; |
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527 slice.ax = ax; |
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528 slice.ay = ay; |
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529 slice.bx = bx; |
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530 slice.by = by; |
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531 slice.adir = adir; |
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532 slice.bdir = bdir; |
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533 slice.type = type; |
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534 |
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535 drawarc(&slice); |
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536 |
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537 if (type & MWOUTLINE) { |
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538 /* draw two lines from rx,ry to arc endpoints*/ |
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539 GdLine(psd, x0, y0, x0+ax, y0+ay, TRUE); |
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540 GdLine(psd, x0, y0, x0+bx, y0+by, TRUE); |
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541 } |
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542 |
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543 GdFixCursor(psd); |
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544 } |
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545 |
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546 /* |
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547 * Draw an ellipse using the current clipping region and foreground color. |
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548 * This draws in the outline of the ellipse, or fills it. |
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549 * Integer only routine. |
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550 */ |
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551 void |
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552 GdEllipse(PSD psd, MWCOORD x, MWCOORD y, MWCOORD rx, MWCOORD ry, MWBOOL fill) |
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553 { |
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554 SLICE slice; |
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555 |
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556 if (rx < 0 || ry < 0) |
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557 return; |
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558 |
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559 /* Check if the ellipse bounding box is either totally visible |
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560 * or totally invisible. Draw with per-point clipping. |
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561 */ |
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562 switch (GdClipArea(psd, x - rx, y - ry, x + rx, y + ry)) { |
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563 case CLIP_VISIBLE: |
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564 /* |
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565 * For size considerations, there's no low-level ellipse |
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566 * draw, so we've got to draw all ellipses |
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567 * with per-point clipping for the time being |
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568 psd->DrawEllipse(psd, x, y, rx, ry, fill, gr_foreground); |
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569 GdFixCursor(psd); |
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570 return; |
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571 */ |
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572 break; |
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573 |
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574 case CLIP_INVISIBLE: |
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575 return; |
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576 } |
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577 |
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578 slice.psd = psd; |
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|
579 slice.x0 = x; |
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580 slice.y0 = y; |
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581 slice.rx = rx; |
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|
582 slice.ry = ry; |
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583 slice.type = fill? MWELLIPSEFILL: MWELLIPSE; |
|
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|
584 /* other elements unused*/ |
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|
585 |
|
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|
586 drawarc(&slice); |
|
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|
587 |
|
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|
588 GdFixCursor(psd); |
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589 } |
