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344 lines
14 KiB
344 lines
14 KiB
<?php |
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/* |
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Copyright (c) 2006-2008 Ulrich Mierendorff |
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Permission is hereby granted, free of charge, to any person obtaining a |
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copy of this software and associated documentation files (the "Software"), |
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to deal in the Software without restriction, including without limitation |
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the rights to use, copy, modify, merge, publish, distribute, sublicense, |
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and/or sell copies of the Software, and to permit persons to whom the |
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Software is furnished to do so, subject to the following conditions: |
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The above copyright notice and this permission notice shall be included in |
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all copies or substantial portions of the Software. |
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THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR |
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IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, |
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FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL |
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THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER |
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LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING |
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FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER |
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DEALINGS IN THE SOFTWARE. |
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Changelog: |
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version 1.1 |
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- improved the rendering speed by ~20% |
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- Thanks to Matthias Mächler for fixing some small errors: |
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* uninitialized variables |
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* deprecated passing of $img reference in imageSmoothArc () |
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version 1.0 |
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Release of rewritten script |
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*/ |
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function imageSmoothArcDrawSegment (&$img, $cx, $cy, $a, $b, $aaAngleX, $aaAngleY, $color, $start, $stop, $seg) |
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{ |
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// Originally written from scratch by Ulrich Mierendorff, 06/2006 |
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// Rewritten and improved, 04/2007, 07/2007 |
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// Please do not use THIS function directly. Scroll down to imageSmoothArc(...). |
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$fillColor = imageColorExactAlpha( $img, $color[0], $color[1], $color[2], $color[3] ); |
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$xStart = abs($a * cos($start)); |
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$yStart = abs($b * sin($start)); |
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$xStop = abs($a * cos($stop)); |
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$yStop = abs($b * sin($stop)); |
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$dxStart = 0; |
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$dyStart = 0; |
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$dxStop = 0; |
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$dyStop = 0; |
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if ($xStart != 0) |
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$dyStart = $yStart/$xStart; |
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if ($xStop != 0) |
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$dyStop = $yStop/$xStop; |
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if ($yStart != 0) |
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$dxStart = $xStart/$yStart; |
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if ($yStop != 0) |
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$dxStop = $xStop/$yStop; |
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if (abs($xStart) >= abs($yStart)) { |
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$aaStartX = true; |
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} else { |
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$aaStartX = false; |
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} |
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if ($xStop >= $yStop) { |
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$aaStopX = true; |
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} else { |
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$aaStopX = false; |
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} |
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//$xp = +1; $yp = -1; $xa = +1; $ya = 0; |
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for ( $x = 0; $x < $a; $x += 1 ) { |
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/*$y = $b * sqrt( 1 - ($x*$x)/($a*$a) ); |
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$error = $y - (int)($y); |
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$y = (int)($y); |
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$diffColor = imageColorExactAlpha( $img, $color[0], $color[1], $color[2], 127-(127-$color[3])*$error );*/ |
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$_y1 = $dyStop*$x; |
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$_y2 = $dyStart*$x; |
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if ($xStart > $xStop) |
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{ |
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$error1 = $_y1 - (int)($_y1); |
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$error2 = 1 - $_y2 + (int)$_y2; |
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$_y1 = $_y1-$error1; |
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$_y2 = $_y2+$error2; |
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} |
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else |
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{ |
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$error1 = 1 - $_y1 + (int)$_y1; |
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$error2 = $_y2 - (int)($_y2); |
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$_y1 = $_y1+$error1; |
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$_y2 = $_y2-$error2; |
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} |
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/* |
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if ($aaStopX) |
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$diffColor1 = imageColorExactAlpha( $img, $color[0], $color[1], $color[2], 127-(127-$color[3])*$error1 ); |
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if ($aaStartX) |
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$diffColor2 = imageColorExactAlpha( $img, $color[0], $color[1], $color[2], 127-(127-$color[3])*$error2 ); |
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*/ |
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if ($seg == 0 || $seg == 2) |
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{ |
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$i = $seg; |
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if (!($start > $i*M_PI/2 && $x > $xStart)) { |
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if ($i == 0) { |
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$xp = +1; $yp = -1; $xa = +1; $ya = 0; |
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} else { |
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$xp = -1; $yp = +1; $xa = 0; $ya = +1; |
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} |
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if ( $stop < ($i+1)*(M_PI/2) && $x <= $xStop ) { |
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$diffColor1 = imageColorExactAlpha( $img, $color[0], $color[1], $color[2], 127-(127-$color[3])*$error1 ); |
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$y1 = $_y1; if ($aaStopX) imageSetPixel($img, $cx+$xp*($x)+$xa, $cy+$yp*($y1+1)+$ya, $diffColor1); |
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} else { |
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$y = $b * sqrt( 1 - ($x*$x)/($a*$a) ); |
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$error = $y - (int)($y); |
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$y = (int)($y); |
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$diffColor = imageColorExactAlpha( $img, $color[0], $color[1], $color[2], 127-(127-$color[3])*$error ); |
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$y1 = $y; if ($x < $aaAngleX ) imageSetPixel($img, $cx+$xp*$x+$xa, $cy+$yp*($y1+1)+$ya, $diffColor); |
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} |
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if ($start > $i*M_PI/2 && $x <= $xStart) { |
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$diffColor2 = imageColorExactAlpha( $img, $color[0], $color[1], $color[2], 127-(127-$color[3])*$error2 ); |
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$y2 = $_y2; if ($aaStartX) imageSetPixel($img, $cx+$xp*$x+$xa, $cy+$yp*($y2-1)+$ya, $diffColor2); |
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} else { |
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$y2 = 0; |
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} |
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if ($y2 <= $y1) imageLine($img, $cx+$xp*$x+$xa, $cy+$yp*$y1+$ya , $cx+$xp*$x+$xa, $cy+$yp*$y2+$ya, $fillColor); |
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} |
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} |
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if ($seg == 1 || $seg == 3) |
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{ |
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$i = $seg; |
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if (!($stop < ($i+1)*M_PI/2 && $x > $xStop)) { |
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if ($i == 1) { |
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$xp = -1; $yp = -1; $xa = 0; $ya = 0; |
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} else { |
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$xp = +1; $yp = +1; $xa = 1; $ya = 1; |
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} |
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if ( $start > $i*M_PI/2 && $x < $xStart ) { |
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$diffColor2 = imageColorExactAlpha( $img, $color[0], $color[1], $color[2], 127-(127-$color[3])*$error2 ); |
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$y1 = $_y2; if ($aaStartX) imageSetPixel($img, $cx+$xp*$x+$xa, $cy+$yp*($y1+1)+$ya, $diffColor2); |
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} else { |
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$y = $b * sqrt( 1 - ($x*$x)/($a*$a) ); |
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$error = $y - (int)($y); |
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$y = (int) $y; |
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$diffColor = imageColorExactAlpha( $img, $color[0], $color[1], $color[2], 127-(127-$color[3])*$error ); |
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$y1 = $y; if ($x < $aaAngleX ) imageSetPixel($img, $cx+$xp*$x+$xa, $cy+$yp*($y1+1)+$ya, $diffColor); |
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} |
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if ($stop < ($i+1)*M_PI/2 && $x <= $xStop) { |
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$diffColor1 = imageColorExactAlpha( $img, $color[0], $color[1], $color[2], 127-(127-$color[3])*$error1 ); |
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$y2 = $_y1; if ($aaStopX) imageSetPixel($img, $cx+$xp*$x+$xa, $cy+$yp*($y2-1)+$ya, $diffColor1); |
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} else { |
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$y2 = 0; |
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} |
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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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} |
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} |
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} |
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///YYYYY |
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for ( $y = 0; $y < $b; $y += 1 ) { |
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/*$x = $a * sqrt( 1 - ($y*$y)/($b*$b) ); |
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$error = $x - (int)($x); |
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$x = (int)($x); |
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$diffColor = imageColorExactAlpha( $img, $color[0], $color[1], $color[2], 127-(127-$color[3])*$error ); |
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*/ |
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$_x1 = $dxStop*$y; |
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$_x2 = $dxStart*$y; |
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if ($yStart > $yStop) |
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{ |
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$error1 = $_x1 - (int)($_x1); |
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$error2 = 1 - $_x2 + (int)$_x2; |
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$_x1 = $_x1-$error1; |
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$_x2 = $_x2+$error2; |
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} |
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else |
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{ |
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$error1 = 1 - $_x1 + (int)$_x1; |
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$error2 = $_x2 - (int)($_x2); |
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$_x1 = $_x1+$error1; |
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$_x2 = $_x2-$error2; |
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} |
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/* |
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if (!$aaStopX) |
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$diffColor1 = imageColorExactAlpha( $img, $color[0], $color[1], $color[2], 127-(127-$color[3])*$error1 ); |
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if (!$aaStartX) |
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$diffColor2 = imageColorExactAlpha( $img, $color[0], $color[1], $color[2], 127-(127-$color[3])*$error2 ); |
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*/ |
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if ($seg == 0 || $seg == 2) |
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{ |
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$i = $seg; |
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if (!($start > $i*M_PI/2 && $y > $yStop)) { |
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if ($i == 0) { |
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$xp = +1; $yp = -1; $xa = 1; $ya = 0; |
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} else { |
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$xp = -1; $yp = +1; $xa = 0; $ya = 1; |
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} |
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if ( $stop < ($i+1)*(M_PI/2) && $y <= $yStop ) { |
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$diffColor1 = imageColorExactAlpha( $img, $color[0], $color[1], $color[2], 127-(127-$color[3])*$error1 ); |
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$x1 = $_x1; if (!$aaStopX) imageSetPixel($img, $cx+$xp*($x1-1)+$xa, $cy+$yp*($y)+$ya, $diffColor1); |
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} |
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if ($start > $i*M_PI/2 && $y < $yStart) { |
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$diffColor2 = imageColorExactAlpha( $img, $color[0], $color[1], $color[2], 127-(127-$color[3])*$error2 ); |
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$x2 = $_x2; if (!$aaStartX) imageSetPixel($img, $cx+$xp*($x2+1)+$xa, $cy+$yp*($y)+$ya, $diffColor2); |
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} else { |
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$x = $a * sqrt( 1 - ($y*$y)/($b*$b) ); |
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$error = $x - (int)($x); |
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$x = (int)($x); |
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$diffColor = imageColorExactAlpha( $img, $color[0], $color[1], $color[2], 127-(127-$color[3])*$error ); |
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$x1 = $x; if ($y < $aaAngleY && $y <= $yStop ) imageSetPixel($img, $cx+$xp*($x1+1)+$xa, $cy+$yp*$y+$ya, $diffColor); |
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} |
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} |
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} |
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if ($seg == 1 || $seg == 3) |
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{ |
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$i = $seg; |
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if (!($stop < ($i+1)*M_PI/2 && $y > $yStart)) { |
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if ($i == 1) { |
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$xp = -1; $yp = -1; $xa = 0; $ya = 0; |
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} else { |
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$xp = +1; $yp = +1; $xa = 1; $ya = 1; |
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} |
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if ( $start > $i*M_PI/2 && $y < $yStart ) { |
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$diffColor2 = imageColorExactAlpha( $img, $color[0], $color[1], $color[2], 127-(127-$color[3])*$error2 ); |
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$x1 = $_x2; if (!$aaStartX) imageSetPixel($img, $cx+$xp*($x1-1)+$xa, $cy+$yp*$y+$ya, $diffColor2); |
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} |
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if ($stop < ($i+1)*M_PI/2 && $y <= $yStop) { |
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$diffColor1 = imageColorExactAlpha( $img, $color[0], $color[1], $color[2], 127-(127-$color[3])*$error1 ); |
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$x2 = $_x1; if (!$aaStopX) imageSetPixel($img, $cx+$xp*($x2+1)+$xa, $cy+$yp*$y+$ya, $diffColor1); |
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} else { |
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$x = $a * sqrt( 1 - ($y*$y)/($b*$b) ); |
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$error = $x - (int)($x); |
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$x = (int)($x); |
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$diffColor = imageColorExactAlpha( $img, $color[0], $color[1], $color[2], 127-(127-$color[3])*$error ); |
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$x1 = $x; if ($y < $aaAngleY && $y < $yStart) imageSetPixel($img,$cx+$xp*($x1+1)+$xa, $cy+$yp*$y+$ya, $diffColor); |
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} |
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} |
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} |
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} |
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} |
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function imageSmoothArc ( &$img, $cx, $cy, $w, $h, $color, $start, $stop) |
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{ |
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// Originally written from scratch by Ulrich Mierendorff, 06/2006 |
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// Rewritten and improved, 04/2007, 07/2007 |
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// compared to old version: |
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// + Support for transparency added |
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// + Improved quality of edges & antialiasing |
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// note: This function does not represent the fastest way to draw elliptical |
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// arcs. It was written without reading any papers on that subject. Better |
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// algorithms may be twice as fast or even more. |
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// what it cannot do: It does not support outlined arcs, only filled |
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// Parameters: |
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// $cx - Center of ellipse, X-coord |
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// $cy - Center of ellipse, Y-coord |
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// $w - Width of ellipse ($w >= 2) |
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// $h - Height of ellipse ($h >= 2 ) |
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// $color - Color of ellipse as a four component array with RGBA |
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// $start - Starting angle of the arc, no limited range! |
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// $stop - Stop angle of the arc, no limited range! |
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// $start _can_ be greater than $stop! |
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// If any value is not in the given range, results are undefined! |
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// This script does not use any special algorithms, everything is completely |
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// written from scratch; see http://de.wikipedia.org/wiki/Ellipse for formulas. |
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while ($start < 0) |
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$start += 2*M_PI; |
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while ($stop < 0) |
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$stop += 2*M_PI; |
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while ($start > 2*M_PI) |
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$start -= 2*M_PI; |
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while ($stop > 2*M_PI) |
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$stop -= 2*M_PI; |
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if ($start > $stop) |
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{ |
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imageSmoothArc ( $img, $cx, $cy, $w, $h, $color, $start, 2*M_PI); |
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imageSmoothArc ( $img, $cx, $cy, $w, $h, $color, 0, $stop); |
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return; |
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} |
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$a = 1.0*round ($w/2); |
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$b = 1.0*round ($h/2); |
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$cx = 1.0*round ($cx); |
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$cy = 1.0*round ($cy); |
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$aaAngle = atan(($b*$b)/($a*$a)*tan(0.25*M_PI)); |
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$aaAngleX = $a*cos($aaAngle); |
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$aaAngleY = $b*sin($aaAngle); |
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$a -= 0.5; // looks better... |
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$b -= 0.5; |
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for ($i=0; $i<4;$i++) |
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{ |
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if ($start < ($i+1)*M_PI/2) |
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{ |
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if ($start > $i*M_PI/2) |
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{ |
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if ($stop > ($i+1)*M_PI/2) |
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{ |
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imageSmoothArcDrawSegment($img, $cx, $cy, $a, $b, $aaAngleX, $aaAngleY , $color, $start, ($i+1)*M_PI/2, $i); |
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} |
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else |
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{ |
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imageSmoothArcDrawSegment($img, $cx, $cy, $a, $b, $aaAngleX, $aaAngleY, $color, $start, $stop, $i); |
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break; |
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} |
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} |
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else |
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{ |
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if ($stop > ($i+1)*M_PI/2) |
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{ |
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imageSmoothArcDrawSegment($img, $cx, $cy, $a, $b, $aaAngleX, $aaAngleY, $color, $i*M_PI/2, ($i+1)*M_PI/2, $i); |
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} |
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else |
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{ |
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imageSmoothArcDrawSegment($img, $cx, $cy, $a, $b, $aaAngleX, $aaAngleY, $color, $i*M_PI/2, $stop, $i); |
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break; |
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} |
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} |
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} |
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} |
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} |
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?>
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