application/vendor/mfchart/imageSmoothArc.php

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