1 | <?php |
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2 | |
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3 | /* |
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4 | |
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5 | Copyright (c) 2006-2008 Ulrich Mierendorff |
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6 | |
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7 | Permission is hereby granted, free of charge, to any person obtaining a |
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8 | copy of this software and associated documentation files (the "Software"), |
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9 | to deal in the Software without restriction, including without limitation |
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10 | the rights to use, copy, modify, merge, publish, distribute, sublicense, |
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11 | and/or sell copies of the Software, and to permit persons to whom the |
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12 | Software is furnished to do so, subject to the following conditions: |
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13 | |
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14 | The above copyright notice and this permission notice shall be included in |
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15 | all copies or substantial portions of the Software. |
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16 | |
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17 | THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR |
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18 | IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, |
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19 | FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL |
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20 | THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER |
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21 | LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING |
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22 | FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER |
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23 | DEALINGS IN THE SOFTWARE. |
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24 | |
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25 | Changelog: |
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26 | version 1.1 |
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27 | - improved the rendering speed by ~20% |
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28 | |
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29 | - Thanks to Matthias MÀchler for fixing some small errors: |
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30 | * uninitialized variables |
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31 | * deprecated passing of $img reference in imageSmoothArc () |
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32 | |
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33 | version 1.0 |
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34 | Release of rewritten script |
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35 | |
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36 | */ |
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37 | |
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38 | function imageSmoothArcDrawSegment (&$img, $cx, $cy, $a, $b, $aaAngleX, $aaAngleY, $color, $start, $stop, $seg) |
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39 | { |
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40 | // Originally written from scratch by Ulrich Mierendorff, 06/2006 |
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41 | // Rewritten and improved, 04/2007, 07/2007 |
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42 | |
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43 | // Please do not use THIS function directly. Scroll down to imageSmoothArc(...). |
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44 | |
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45 | $fillColor = imageColorExactAlpha( $img, $color[0], $color[1], $color[2], $color[3] ); |
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46 | |
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47 | $xStart = abs($a * cos($start)); |
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48 | $yStart = abs($b * sin($start)); |
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49 | $xStop = abs($a * cos($stop)); |
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50 | $yStop = abs($b * sin($stop)); |
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51 | $dxStart = 0; |
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52 | $dyStart = 0; |
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53 | $dxStop = 0; |
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54 | $dyStop = 0; |
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55 | if ($xStart != 0) |
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56 | $dyStart = $yStart/$xStart; |
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57 | if ($xStop != 0) |
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58 | $dyStop = $yStop/$xStop; |
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59 | if ($yStart != 0) |
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60 | $dxStart = $xStart/$yStart; |
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61 | if ($yStop != 0) |
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62 | $dxStop = $xStop/$yStop; |
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63 | if (abs($xStart) >= abs($yStart)) { |
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64 | $aaStartX = true; |
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65 | } else { |
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66 | $aaStartX = false; |
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67 | } |
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68 | if ($xStop >= $yStop) { |
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69 | $aaStopX = true; |
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70 | } else { |
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71 | $aaStopX = false; |
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72 | } |
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73 | //$xp = +1; $yp = -1; $xa = +1; $ya = 0; |
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74 | for ( $x = 0; $x < $a; $x += 1 ) { |
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75 | /*$y = $b * sqrt( 1 - ($x*$x)/($a*$a) ); |
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76 | |
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77 | $error = $y - (int)($y); |
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78 | $y = (int)($y); |
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79 | |
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80 | $diffColor = imageColorExactAlpha( $img, $color[0], $color[1], $color[2], 127-(127-$color[3])*$error );*/ |
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81 | |
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82 | $_y1 = $dyStop*$x; |
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83 | $_y2 = $dyStart*$x; |
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84 | if ($xStart > $xStop) |
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85 | { |
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86 | $error1 = $_y1 - (int)($_y1); |
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87 | $error2 = 1 - $_y2 + (int)$_y2; |
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88 | $_y1 = $_y1-$error1; |
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89 | $_y2 = $_y2+$error2; |
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90 | } |
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91 | else |
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92 | { |
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93 | $error1 = 1 - $_y1 + (int)$_y1; |
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94 | $error2 = $_y2 - (int)($_y2); |
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95 | $_y1 = $_y1+$error1; |
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96 | $_y2 = $_y2-$error2; |
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97 | } |
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98 | /* |
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99 | if ($aaStopX) |
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100 | $diffColor1 = imageColorExactAlpha( $img, $color[0], $color[1], $color[2], 127-(127-$color[3])*$error1 ); |
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101 | if ($aaStartX) |
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102 | $diffColor2 = imageColorExactAlpha( $img, $color[0], $color[1], $color[2], 127-(127-$color[3])*$error2 ); |
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103 | */ |
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104 | |
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105 | if ($seg == 0 || $seg == 2) |
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106 | { |
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107 | $i = $seg; |
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108 | if (!($start > $i*M_PI/2 && $x > $xStart)) { |
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109 | if ($i == 0) { |
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110 | $xp = +1; $yp = -1; $xa = +1; $ya = 0; |
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111 | } else { |
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112 | $xp = -1; $yp = +1; $xa = 0; $ya = +1; |
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113 | } |
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114 | if ( $stop < ($i+1)*(M_PI/2) && $x <= $xStop ) { |
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115 | $diffColor1 = imageColorExactAlpha( $img, $color[0], $color[1], $color[2], 127-(127-$color[3])*$error1 ); |
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116 | $y1 = $_y1; if ($aaStopX) imageSetPixel($img, $cx+$xp*($x)+$xa, $cy+$yp*($y1+1)+$ya, $diffColor1); |
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117 | |
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118 | } else { |
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119 | $y = $b * sqrt( 1 - ($x*$x)/($a*$a) ); |
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120 | $error = $y - (int)($y); |
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121 | $y = (int)($y); |
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122 | $diffColor = imageColorExactAlpha( $img, $color[0], $color[1], $color[2], 127-(127-$color[3])*$error ); |
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123 | $y1 = $y; if ($x < $aaAngleX ) imageSetPixel($img, $cx+$xp*$x+$xa, $cy+$yp*($y1+1)+$ya, $diffColor); |
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124 | } |
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125 | if ($start > $i*M_PI/2 && $x <= $xStart) { |
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126 | $diffColor2 = imageColorExactAlpha( $img, $color[0], $color[1], $color[2], 127-(127-$color[3])*$error2 ); |
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127 | $y2 = $_y2; if ($aaStartX) imageSetPixel($img, $cx+$xp*$x+$xa, $cy+$yp*($y2-1)+$ya, $diffColor2); |
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128 | } else { |
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129 | $y2 = 0; |
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130 | } |
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131 | if ($y2 <= $y1) imageLine($img, $cx+$xp*$x+$xa, $cy+$yp*$y1+$ya , $cx+$xp*$x+$xa, $cy+$yp*$y2+$ya, $fillColor); |
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132 | } |
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133 | } |
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134 | |
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135 | if ($seg == 1 || $seg == 3) |
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136 | { |
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137 | $i = $seg; |
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138 | if (!($stop < ($i+1)*M_PI/2 && $x > $xStop)) { |
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139 | if ($i == 1) { |
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140 | $xp = -1; $yp = -1; $xa = 0; $ya = 0; |
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141 | } else { |
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142 | $xp = +1; $yp = +1; $xa = 1; $ya = 1; |
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143 | } |
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144 | if ( $start > $i*M_PI/2 && $x < $xStart ) { |
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145 | $diffColor2 = imageColorExactAlpha( $img, $color[0], $color[1], $color[2], 127-(127-$color[3])*$error2 ); |
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146 | $y1 = $_y2; if ($aaStartX) imageSetPixel($img, $cx+$xp*$x+$xa, $cy+$yp*($y1+1)+$ya, $diffColor2); |
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147 | |
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148 | } else { |
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149 | $y = $b * sqrt( 1 - ($x*$x)/($a*$a) ); |
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150 | $error = $y - (int)($y); |
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151 | $y = (int) $y; |
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152 | $diffColor = imageColorExactAlpha( $img, $color[0], $color[1], $color[2], 127-(127-$color[3])*$error ); |
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153 | $y1 = $y; if ($x < $aaAngleX ) imageSetPixel($img, $cx+$xp*$x+$xa, $cy+$yp*($y1+1)+$ya, $diffColor); |
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154 | } |
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155 | if ($stop < ($i+1)*M_PI/2 && $x <= $xStop) { |
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156 | $diffColor1 = imageColorExactAlpha( $img, $color[0], $color[1], $color[2], 127-(127-$color[3])*$error1 ); |
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157 | $y2 = $_y1; if ($aaStopX) imageSetPixel($img, $cx+$xp*$x+$xa, $cy+$yp*($y2-1)+$ya, $diffColor1); |
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158 | } else { |
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159 | $y2 = 0; |
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160 | } |
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161 | if ($y2 <= $y1) imageLine($img, $cx+$xp*$x+$xa, $cy+$yp*$y1+$ya, $cx+$xp*$x+$xa, $cy+$yp*$y2+$ya, $fillColor); |
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162 | } |
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163 | } |
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164 | } |
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165 | |
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166 | ///YYYYY |
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167 | |
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168 | for ( $y = 0; $y < $b; $y += 1 ) { |
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169 | /*$x = $a * sqrt( 1 - ($y*$y)/($b*$b) ); |
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170 | |
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171 | $error = $x - (int)($x); |
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172 | $x = (int)($x); |
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173 | |
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174 | $diffColor = imageColorExactAlpha( $img, $color[0], $color[1], $color[2], 127-(127-$color[3])*$error ); |
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175 | */ |
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176 | $_x1 = $dxStop*$y; |
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177 | $_x2 = $dxStart*$y; |
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178 | if ($yStart > $yStop) |
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179 | { |
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180 | $error1 = $_x1 - (int)($_x1); |
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181 | $error2 = 1 - $_x2 + (int)$_x2; |
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182 | $_x1 = $_x1-$error1; |
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183 | $_x2 = $_x2+$error2; |
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184 | } |
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185 | else |
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186 | { |
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187 | $error1 = 1 - $_x1 + (int)$_x1; |
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188 | $error2 = $_x2 - (int)($_x2); |
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189 | $_x1 = $_x1+$error1; |
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190 | $_x2 = $_x2-$error2; |
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191 | } |
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192 | /* |
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193 | if (!$aaStopX) |
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194 | $diffColor1 = imageColorExactAlpha( $img, $color[0], $color[1], $color[2], 127-(127-$color[3])*$error1 ); |
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195 | if (!$aaStartX) |
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196 | $diffColor2 = imageColorExactAlpha( $img, $color[0], $color[1], $color[2], 127-(127-$color[3])*$error2 ); |
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197 | */ |
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198 | |
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199 | if ($seg == 0 || $seg == 2) |
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200 | { |
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201 | $i = $seg; |
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202 | if (!($start > $i*M_PI/2 && $y > $yStop)) { |
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203 | if ($i == 0) { |
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204 | $xp = +1; $yp = -1; $xa = 1; $ya = 0; |
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205 | } else { |
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206 | $xp = -1; $yp = +1; $xa = 0; $ya = 1; |
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207 | } |
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208 | if ( $stop < ($i+1)*(M_PI/2) && $y <= $yStop ) { |
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209 | $diffColor1 = imageColorExactAlpha( $img, $color[0], $color[1], $color[2], 127-(127-$color[3])*$error1 ); |
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210 | $x1 = $_x1; if (!$aaStopX) imageSetPixel($img, $cx+$xp*($x1-1)+$xa, $cy+$yp*($y)+$ya, $diffColor1); |
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211 | } |
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212 | if ($start > $i*M_PI/2 && $y < $yStart) { |
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213 | $diffColor2 = imageColorExactAlpha( $img, $color[0], $color[1], $color[2], 127-(127-$color[3])*$error2 ); |
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214 | $x2 = $_x2; if (!$aaStartX) imageSetPixel($img, $cx+$xp*($x2+1)+$xa, $cy+$yp*($y)+$ya, $diffColor2); |
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215 | } else { |
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216 | $x = $a * sqrt( 1 - ($y*$y)/($b*$b) ); |
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217 | $error = $x - (int)($x); |
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218 | $x = (int)($x); |
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219 | $diffColor = imageColorExactAlpha( $img, $color[0], $color[1], $color[2], 127-(127-$color[3])*$error ); |
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220 | $x1 = $x; if ($y < $aaAngleY && $y <= $yStop ) imageSetPixel($img, $cx+$xp*($x1+1)+$xa, $cy+$yp*$y+$ya, $diffColor); |
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221 | } |
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222 | } |
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223 | } |
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224 | |
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225 | if ($seg == 1 || $seg == 3) |
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226 | { |
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227 | $i = $seg; |
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228 | if (!($stop < ($i+1)*M_PI/2 && $y > $yStart)) { |
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229 | if ($i == 1) { |
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230 | $xp = -1; $yp = -1; $xa = 0; $ya = 0; |
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231 | } else { |
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232 | $xp = +1; $yp = +1; $xa = 1; $ya = 1; |
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233 | } |
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234 | if ( $start > $i*M_PI/2 && $y < $yStart ) { |
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235 | $diffColor2 = imageColorExactAlpha( $img, $color[0], $color[1], $color[2], 127-(127-$color[3])*$error2 ); |
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236 | $x1 = $_x2; if (!$aaStartX) imageSetPixel($img, $cx+$xp*($x1-1)+$xa, $cy+$yp*$y+$ya, $diffColor2); |
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237 | } |
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238 | if ($stop < ($i+1)*M_PI/2 && $y <= $yStop) { |
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239 | $diffColor1 = imageColorExactAlpha( $img, $color[0], $color[1], $color[2], 127-(127-$color[3])*$error1 ); |
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240 | $x2 = $_x1; if (!$aaStopX) imageSetPixel($img, $cx+$xp*($x2+1)+$xa, $cy+$yp*$y+$ya, $diffColor1); |
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241 | } else { |
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242 | $x = $a * sqrt( 1 - ($y*$y)/($b*$b) ); |
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243 | $error = $x - (int)($x); |
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244 | $x = (int)($x); |
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245 | $diffColor = imageColorExactAlpha( $img, $color[0], $color[1], $color[2], 127-(127-$color[3])*$error ); |
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246 | $x1 = $x; if ($y < $aaAngleY && $y < $yStart) imageSetPixel($img,$cx+$xp*($x1+1)+$xa, $cy+$yp*$y+$ya, $diffColor); |
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247 | } |
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248 | } |
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249 | } |
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250 | } |
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251 | } |
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252 | |
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253 | |
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254 | function imageSmoothArc ( &$img, $cx, $cy, $w, $h, $color, $start, $stop) |
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255 | { |
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256 | // Originally written from scratch by Ulrich Mierendorff, 06/2006 |
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257 | // Rewritten and improved, 04/2007, 07/2007 |
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258 | // compared to old version: |
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259 | // + Support for transparency added |
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260 | // + Improved quality of edges & antialiasing |
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261 | |
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262 | // note: This function does not represent the fastest way to draw elliptical |
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263 | // arcs. It was written without reading any papers on that subject. Better |
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264 | // algorithms may be twice as fast or even more. |
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265 | |
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266 | // what it cannot do: It does not support outlined arcs, only filled |
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267 | |
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268 | // Parameters: |
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269 | // $cx - Center of ellipse, X-coord |
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270 | // $cy - Center of ellipse, Y-coord |
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271 | // $w - Width of ellipse ($w >= 2) |
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272 | // $h - Height of ellipse ($h >= 2 ) |
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273 | // $color - Color of ellipse as a four component array with RGBA |
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274 | // $start - Starting angle of the arc, no limited range! |
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275 | // $stop - Stop angle of the arc, no limited range! |
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276 | // $start _can_ be greater than $stop! |
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277 | // If any value is not in the given range, results are undefined! |
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278 | |
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279 | // This script does not use any special algorithms, everything is completely |
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280 | // written from scratch; see http://de.wikipedia.org/wiki/Ellipse for formulas. |
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281 | |
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282 | while ($start < 0) |
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283 | $start += 2*M_PI; |
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284 | while ($stop < 0) |
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285 | $stop += 2*M_PI; |
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286 | |
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287 | while ($start > 2*M_PI) |
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288 | $start -= 2*M_PI; |
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289 | |
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290 | while ($stop > 2*M_PI) |
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291 | $stop -= 2*M_PI; |
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292 | |
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293 | |
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294 | if ($start > $stop) |
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295 | { |
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296 | imageSmoothArc ( $img, $cx, $cy, $w, $h, $color, $start, 2*M_PI); |
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297 | imageSmoothArc ( $img, $cx, $cy, $w, $h, $color, 0, $stop); |
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298 | return; |
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299 | } |
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300 | |
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301 | $a = 1.0*round ($w/2); |
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302 | $b = 1.0*round ($h/2); |
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303 | $cx = 1.0*round ($cx); |
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304 | $cy = 1.0*round ($cy); |
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305 | |
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306 | $aaAngle = atan(($b*$b)/($a*$a)*tan(0.25*M_PI)); |
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307 | $aaAngleX = $a*cos($aaAngle); |
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308 | $aaAngleY = $b*sin($aaAngle); |
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309 | |
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310 | $a -= 0.5; // looks better... |
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311 | $b -= 0.5; |
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312 | |
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313 | for ($i=0; $i<4;$i++) |
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314 | { |
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315 | if ($start < ($i+1)*M_PI/2) |
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316 | { |
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317 | if ($start > $i*M_PI/2) |
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318 | { |
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319 | if ($stop > ($i+1)*M_PI/2) |
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320 | { |
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321 | imageSmoothArcDrawSegment($img, $cx, $cy, $a, $b, $aaAngleX, $aaAngleY , $color, $start, ($i+1)*M_PI/2, $i); |
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322 | } |
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323 | else |
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324 | { |
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325 | imageSmoothArcDrawSegment($img, $cx, $cy, $a, $b, $aaAngleX, $aaAngleY, $color, $start, $stop, $i); |
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326 | break; |
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327 | } |
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328 | } |
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329 | else |
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330 | { |
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331 | if ($stop > ($i+1)*M_PI/2) |
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332 | { |
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333 | imageSmoothArcDrawSegment($img, $cx, $cy, $a, $b, $aaAngleX, $aaAngleY, $color, $i*M_PI/2, ($i+1)*M_PI/2, $i); |
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334 | } |
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335 | else |
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336 | { |
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337 | imageSmoothArcDrawSegment($img, $cx, $cy, $a, $b, $aaAngleX, $aaAngleY, $color, $i*M_PI/2, $stop, $i); |
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338 | break; |
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339 | } |
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340 | } |
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341 | } |
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342 | } |
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343 | } |
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344 | ?> |
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