* @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() ); } }