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345 lines
14 KiB
PHP
345 lines
14 KiB
PHP
<?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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