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<?php
/**
* Class Detector
*
* @created 17.01.2021
* @author ZXing Authors
* @author Smiley <[email protected]>
* @copyright 2021 Smiley
* @license Apache-2.0
*/
namespace chillerlan\QRCode\Detector;
use chillerlan\QRCode\Common\{LuminanceSourceInterface, Version};
use chillerlan\QRCode\Decoder\{Binarizer, BitMatrix};
use function abs, intdiv, is_nan, max, min, round;
use const NAN;
/**
* Encapsulates logic that can detect a QR Code in an image, even if the QR Code
* is rotated or skewed, or partially obscured.
*
* @author Sean Owen
*/
final class Detector{
private BitMatrix $matrix;
/**
* Detector constructor.
*/
public function __construct(LuminanceSourceInterface $source){
$this->matrix = (new Binarizer($source))->getBlackMatrix();
}
/**
* Detects a QR Code in an image.
*/
public function detect():BitMatrix{
[$bottomLeft, $topLeft, $topRight] = (new FinderPatternFinder($this->matrix))->find();
$moduleSize = $this->calculateModuleSize($topLeft, $topRight, $bottomLeft);
$dimension = $this->computeDimension($topLeft, $topRight, $bottomLeft, $moduleSize);
$provisionalVersion = new Version(intdiv(($dimension - 17), 4));
$alignmentPattern = null;
// Anything above version 1 has an alignment pattern
if(!empty($provisionalVersion->getAlignmentPattern())){
// Guess where a "bottom right" finder pattern would have been
$bottomRightX = ($topRight->getX() - $topLeft->getX() + $bottomLeft->getX());
$bottomRightY = ($topRight->getY() - $topLeft->getY() + $bottomLeft->getY());
// Estimate that alignment pattern is closer by 3 modules
// from "bottom right" to known top left location
$correctionToTopLeft = (1.0 - 3.0 / (float)($provisionalVersion->getDimension() - 7));
$estAlignmentX = (int)($topLeft->getX() + $correctionToTopLeft * ($bottomRightX - $topLeft->getX()));
$estAlignmentY = (int)($topLeft->getY() + $correctionToTopLeft * ($bottomRightY - $topLeft->getY()));
// Kind of arbitrary -- expand search radius before giving up
for($i = 4; $i <= 16; $i <<= 1){//??????????
$alignmentPattern = $this->findAlignmentInRegion($moduleSize, $estAlignmentX, $estAlignmentY, (float)$i);
if($alignmentPattern !== null){
break;
}
}
// If we didn't find alignment pattern... well try anyway without it
}
$transform = $this->createTransform($topLeft, $topRight, $bottomLeft, $dimension, $alignmentPattern);
return (new GridSampler)->sampleGrid($this->matrix, $dimension, $transform);
}
/**
* Computes an average estimated module size based on estimated derived from the positions
* of the three finder patterns.
*
* @throws \chillerlan\QRCode\Detector\QRCodeDetectorException
*/
private function calculateModuleSize(FinderPattern $topLeft, FinderPattern $topRight, FinderPattern $bottomLeft):float{
// Take the average
$moduleSize = ((
$this->calculateModuleSizeOneWay($topLeft, $topRight) +
$this->calculateModuleSizeOneWay($topLeft, $bottomLeft)
) / 2.0);
if($moduleSize < 1.0){
throw new QRCodeDetectorException('module size < 1.0');
}
return $moduleSize;
}
/**
* Estimates module size based on two finder patterns -- it uses
* #sizeOfBlackWhiteBlackRunBothWays(int, int, int, int) to figure the
* width of each, measuring along the axis between their centers.
*/
private function calculateModuleSizeOneWay(FinderPattern $a, FinderPattern $b):float{
$moduleSizeEst1 = $this->sizeOfBlackWhiteBlackRunBothWays($a->getX(), $a->getY(), $b->getX(), $b->getY());
$moduleSizeEst2 = $this->sizeOfBlackWhiteBlackRunBothWays($b->getX(), $b->getY(), $a->getX(), $a->getY());
if(is_nan($moduleSizeEst1)){
return ($moduleSizeEst2 / 7.0);
}
if(is_nan($moduleSizeEst2)){
return ($moduleSizeEst1 / 7.0);
}
// Average them, and divide by 7 since we've counted the width of 3 black modules,
// and 1 white and 1 black module on either side. Ergo, divide sum by 14.
return (($moduleSizeEst1 + $moduleSizeEst2) / 14.0);
}
/**
* See #sizeOfBlackWhiteBlackRun(int, int, int, int); computes the total width of
* a finder pattern by looking for a black-white-black run from the center in the direction
* of another po$(another finder pattern center), and in the opposite direction too.
*
* @noinspection DuplicatedCode
*/
private function sizeOfBlackWhiteBlackRunBothWays(float $fromX, float $fromY, float $toX, float $toY):float{
$result = $this->sizeOfBlackWhiteBlackRun((int)$fromX, (int)$fromY, (int)$toX, (int)$toY);
$dimension = $this->matrix->getSize();
// Now count other way -- don't run off image though of course
$scale = 1.0;
$otherToX = ($fromX - ($toX - $fromX));
if($otherToX < 0){
$scale = ($fromX / ($fromX - $otherToX));
$otherToX = 0;
}
elseif($otherToX >= $dimension){
$scale = (($dimension - 1 - $fromX) / ($otherToX - $fromX));
$otherToX = ($dimension - 1);
}
$otherToY = (int)($fromY - ($toY - $fromY) * $scale);
$scale = 1.0;
if($otherToY < 0){
$scale = ($fromY / ($fromY - $otherToY));
$otherToY = 0;
}
elseif($otherToY >= $dimension){
$scale = (($dimension - 1 - $fromY) / ($otherToY - $fromY));
$otherToY = ($dimension - 1);
}
$otherToX = (int)($fromX + ($otherToX - $fromX) * $scale);
$result += $this->sizeOfBlackWhiteBlackRun((int)$fromX, (int)$fromY, $otherToX, $otherToY);
// Middle pixel is double-counted this way; subtract 1
return ($result - 1.0);
}
/**
* This method traces a line from a po$in the image, in the direction towards another point.
* It begins in a black region, and keeps going until it finds white, then black, then white again.
* It reports the distance from the start to this point.
*
* This is used when figuring out how wide a finder pattern is, when the finder pattern
* may be skewed or rotated.
*/
private function sizeOfBlackWhiteBlackRun(int $fromX, int $fromY, int $toX, int $toY):float{
// Mild variant of Bresenham's algorithm;
// @see https://en.wikipedia.org/wiki/Bresenham%27s_line_algorithm
$steep = abs($toY - $fromY) > abs($toX - $fromX);
if($steep){
$temp = $fromX;
$fromX = $fromY;
$fromY = $temp;
$temp = $toX;
$toX = $toY;
$toY = $temp;
}
$dx = abs($toX - $fromX);
$dy = abs($toY - $fromY);
$error = (-$dx / 2);
$xstep = (($fromX < $toX) ? 1 : -1);
$ystep = (($fromY < $toY) ? 1 : -1);
// In black pixels, looking for white, first or second time.
$state = 0;
// Loop up until x == toX, but not beyond
$xLimit = ($toX + $xstep);
for($x = $fromX, $y = $fromY; $x !== $xLimit; $x += $xstep){
$realX = ($steep) ? $y : $x;
$realY = ($steep) ? $x : $y;
// Does current pixel mean we have moved white to black or vice versa?
// Scanning black in state 0,2 and white in state 1, so if we find the wrong
// color, advance to next state or end if we are in state 2 already
if(($state === 1) === $this->matrix->check($realX, $realY)){
if($state === 2){
return FinderPattern::distance($x, $y, $fromX, $fromY);
}
$state++;
}
$error += $dy;
if($error > 0){
if($y === $toY){
break;
}
$y += $ystep;
$error -= $dx;
}
}
// Found black-white-black; give the benefit of the doubt that the next pixel outside the image
// is "white" so this last po$at (toX+xStep,toY) is the right ending. This is really a
// small approximation; (toX+xStep,toY+yStep) might be really correct. Ignore this.
if($state === 2){
return FinderPattern::distance(($toX + $xstep), $toY, $fromX, $fromY);
}
// else we didn't find even black-white-black; no estimate is really possible
return NAN;
}
/**
* Computes the dimension (number of modules on a size) of the QR Code based on the position
* of the finder patterns and estimated module size.
*
* @throws \chillerlan\QRCode\Detector\QRCodeDetectorException
*/
private function computeDimension(FinderPattern $nw, FinderPattern $ne, FinderPattern $sw, float $size):int{
$tltrCentersDimension = (int)round($nw->getDistance($ne) / $size);
$tlblCentersDimension = (int)round($nw->getDistance($sw) / $size);
$dimension = (int)((($tltrCentersDimension + $tlblCentersDimension) / 2) + 7);
switch($dimension % 4){
case 0:
$dimension++;
break;
// 1? do nothing
case 2:
$dimension--;
break;
case 3:
throw new QRCodeDetectorException('estimated dimension: '.$dimension);
}
if(($dimension % 4) !== 1){
throw new QRCodeDetectorException('dimension mod 4 is not 1');
}
return $dimension;
}
/**
* Attempts to locate an alignment pattern in a limited region of the image, which is
* guessed to contain it.
*
* @param float $overallEstModuleSize estimated module size so far
* @param int $estAlignmentX x coordinate of center of area probably containing alignment pattern
* @param int $estAlignmentY y coordinate of above
* @param float $allowanceFactor number of pixels in all directions to search from the center
*
* @return \chillerlan\QRCode\Detector\AlignmentPattern|null if found, or null otherwise
*/
private function findAlignmentInRegion(
float $overallEstModuleSize,
int $estAlignmentX,
int $estAlignmentY,
float $allowanceFactor
):?AlignmentPattern{
// Look for an alignment pattern (3 modules in size) around where it should be
$dimension = $this->matrix->getSize();
$allowance = (int)($allowanceFactor * $overallEstModuleSize);
$alignmentAreaLeftX = max(0, ($estAlignmentX - $allowance));
$alignmentAreaRightX = min(($dimension - 1), ($estAlignmentX + $allowance));
if(($alignmentAreaRightX - $alignmentAreaLeftX) < ($overallEstModuleSize * 3)){
return null;
}
$alignmentAreaTopY = max(0, ($estAlignmentY - $allowance));
$alignmentAreaBottomY = min(($dimension - 1), ($estAlignmentY + $allowance));
if(($alignmentAreaBottomY - $alignmentAreaTopY) < ($overallEstModuleSize * 3)){
return null;
}
return (new AlignmentPatternFinder($this->matrix, $overallEstModuleSize))->find(
$alignmentAreaLeftX,
$alignmentAreaTopY,
($alignmentAreaRightX - $alignmentAreaLeftX),
($alignmentAreaBottomY - $alignmentAreaTopY),
);
}
/**
*
*/
private function createTransform(
FinderPattern $nw,
FinderPattern $ne,
FinderPattern $sw,
int $size,
AlignmentPattern $ap = null
):PerspectiveTransform{
$dimMinusThree = ($size - 3.5);
if($ap instanceof AlignmentPattern){
$bottomRightX = $ap->getX();
$bottomRightY = $ap->getY();
$sourceBottomRightX = ($dimMinusThree - 3.0);
$sourceBottomRightY = $sourceBottomRightX;
}
else{
// Don't have an alignment pattern, just make up the bottom-right point
$bottomRightX = ($ne->getX() - $nw->getX() + $sw->getX());
$bottomRightY = ($ne->getY() - $nw->getY() + $sw->getY());
$sourceBottomRightX = $dimMinusThree;
$sourceBottomRightY = $dimMinusThree;
}
return (new PerspectiveTransform)->quadrilateralToQuadrilateral(
3.5,
3.5,
$dimMinusThree,
3.5,
$sourceBottomRightX,
$sourceBottomRightY,
3.5,
$dimMinusThree,
$nw->getX(),
$nw->getY(),
$ne->getX(),
$ne->getY(),
$bottomRightX,
$bottomRightY,
$sw->getX(),
$sw->getY()
);
}
}