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