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<?php |
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/** |
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* Box packing (3D bin packing, knapsack problem). |
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* |
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* @author Doug Wright |
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*/ |
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namespace DVDoug\BoxPacker; |
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use Psr\Log\LoggerAwareInterface; |
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use Psr\Log\LoggerAwareTrait; |
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use Psr\Log\NullLogger; |
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/** |
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* Figure out orientations for an item and a given set of dimensions. |
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* |
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* @author Doug Wright |
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* @internal |
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*/ |
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class OrientatedItemFactory implements LoggerAwareInterface |
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{ |
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use LoggerAwareTrait; |
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/** @var Box */ |
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protected $box; |
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/** |
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* @var OrientatedItem[] |
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*/ |
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protected static $emptyBoxCache = []; |
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/** |
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* @var int[] |
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*/ |
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protected static $lookaheadCache = []; |
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public function __construct(Box $box) |
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{ |
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$this->box = $box; |
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$this->logger = new NullLogger(); |
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} |
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/** |
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* Get the best orientation for an item. |
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* |
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* @param Item $item |
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* @param OrientatedItem|null $prevItem |
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* @param ItemList $nextItems |
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* @param bool $isLastItem |
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* @param int $widthLeft |
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* @param int $lengthLeft |
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* @param int $depthLeft |
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* @param int $rowLength |
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* @param int $x |
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* @param int $y |
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* @param int $z |
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* @param PackedItemList $prevPackedItemList |
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* |
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* @return OrientatedItem|null |
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*/ |
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public function getBestOrientation( |
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Item $item, |
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OrientatedItem $prevItem = null, |
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ItemList $nextItems, |
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$isLastItem, |
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$widthLeft, |
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$lengthLeft, |
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$depthLeft, |
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$rowLength, |
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$x, |
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$y, |
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$z, |
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PackedItemList $prevPackedItemList |
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) { |
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$possibleOrientations = $this->getPossibleOrientations($item, $prevItem, $widthLeft, $lengthLeft, $depthLeft, $x, $y, $z, $prevPackedItemList); |
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$usableOrientations = $this->getUsableOrientations($item, $possibleOrientations, $isLastItem); |
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if (empty($usableOrientations)) { |
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return null; |
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} |
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usort($usableOrientations, function (OrientatedItem $a, OrientatedItem $b) use ($widthLeft, $lengthLeft, $depthLeft, $nextItems, $rowLength, $x, $y, $z, $prevPackedItemList) { |
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$orientationAWidthLeft = $widthLeft - $a->getWidth(); |
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$orientationALengthLeft = $lengthLeft - $a->getLength(); |
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$orientationADepthLeft = $depthLeft - $a->getDepth(); |
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$orientationBWidthLeft = $widthLeft - $b->getWidth(); |
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$orientationBLengthLeft = $lengthLeft - $b->getLength(); |
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$orientationBDepthLeft = $depthLeft - $b->getDepth(); |
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$orientationAMinGap = min($orientationAWidthLeft, $orientationALengthLeft); |
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$orientationBMinGap = min($orientationBWidthLeft, $orientationBLengthLeft); |
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if ($orientationAMinGap === 0 && ($orientationBMinGap !== 0 || PHP_MAJOR_VERSION > 5)) { // prefer A if it leaves no gap |
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return -1; |
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} |
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if ($orientationBMinGap === 0) { // prefer B if it leaves no gap |
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return 1; |
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} |
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// prefer leaving room for next item in current row |
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if ($nextItems->count()) { |
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$nextItemFitA = count($this->getPossibleOrientations($nextItems->top(), $a, $orientationAWidthLeft, $lengthLeft, $depthLeft, $x, $y, $z, $prevPackedItemList)); |
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$nextItemFitB = count($this->getPossibleOrientations($nextItems->top(), $b, $orientationBWidthLeft, $lengthLeft, $depthLeft, $x, $y, $z, $prevPackedItemList)); |
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if ($nextItemFitA && !$nextItemFitB) { |
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return -1; |
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} |
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if ($nextItemFitB && !$nextItemFitA) { |
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return 1; |
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} |
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// if not an easy either/or, do a partial lookahead |
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$additionalPackedA = $this->calculateAdditionalItemsPackedWithThisOrientation($a, $nextItems, $widthLeft, $lengthLeft, $depthLeft, $rowLength); |
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$additionalPackedB = $this->calculateAdditionalItemsPackedWithThisOrientation($b, $nextItems, $widthLeft, $lengthLeft, $depthLeft, $rowLength); |
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if ($additionalPackedA > $additionalPackedB) { |
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return -1; |
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} |
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if ($additionalPackedA < $additionalPackedB) { |
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return 1; |
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} |
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if ($additionalPackedA === 0) { |
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return PHP_MAJOR_VERSION > 5 ? -1 : 1; |
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} |
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} |
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// otherwise prefer leaving minimum possible gap, or the greatest footprint |
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return ($orientationADepthLeft - $orientationBDepthLeft) ?: ($orientationAMinGap - $orientationBMinGap) ?: ($a->getSurfaceFootprint() - $b->getSurfaceFootprint()); |
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}); |
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$bestFit = reset($usableOrientations); |
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$this->logger->debug('Selected best fit orientation', ['orientation' => $bestFit]); |
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return $bestFit; |
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} |
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/** |
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* Find all possible orientations for an item. |
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* |
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* @param Item $item |
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* @param OrientatedItem|null $prevItem |
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* @param int $widthLeft |
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* @param int $lengthLeft |
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* @param int $depthLeft |
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* @param int $x |
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* @param int $y |
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* @param int $z |
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* @param PackedItemList $prevPackedItemList |
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* |
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* @return OrientatedItem[] |
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*/ |
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public function getPossibleOrientations( |
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Item $item, |
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OrientatedItem $prevItem = null, |
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$widthLeft, |
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$lengthLeft, |
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$depthLeft, |
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$x, |
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$y, |
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$z, |
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PackedItemList $prevPackedItemList |
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) { |
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$orientations = $orientationsDimensions = []; |
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$isSame = false; |
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if ($prevItem) { |
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$itemADimensions = [$item->getWidth(), $item->getLength(), $item->getDepth()]; |
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$itemBDimensions = [$prevItem->getWidth(), $prevItem->getLength(), $prevItem->getDepth()]; |
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sort($itemADimensions); |
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sort($itemBDimensions); |
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$isSame = ($itemADimensions === $itemBDimensions); |
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} |
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//Special case items that are the same as what we just packed - keep orientation |
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if ($isSame && $prevItem) { |
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$orientationsDimensions[] = [$prevItem->getWidth(), $prevItem->getLength(), $prevItem->getDepth()]; |
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} else { |
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//simple 2D rotation |
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$orientationsDimensions[] = [$item->getWidth(), $item->getLength(), $item->getDepth()]; |
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$orientationsDimensions[] = [$item->getLength(), $item->getWidth(), $item->getDepth()]; |
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} |
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//remove any that simply don't fit |
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$orientationsDimensions = array_unique($orientationsDimensions, SORT_REGULAR); |
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$orientationsDimensions = array_filter($orientationsDimensions, static function (array $i) use ($widthLeft, $lengthLeft, $depthLeft) { |
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return $i[0] <= $widthLeft && $i[1] <= $lengthLeft && $i[2] <= $depthLeft; |
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}); |
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foreach ($orientationsDimensions as $dimensions) { |
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$orientations[] = new OrientatedItem($item, $dimensions[0], $dimensions[1], $dimensions[2]); |
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} |
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if ($item instanceof ConstrainedPlacementItem) { |
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$box = $this->box; |
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$orientations = array_filter($orientations, static function (OrientatedItem $i) use ($box, $x, $y, $z, $prevPackedItemList) { |
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/** @var ConstrainedPlacementItem $constrainedItem */ |
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$constrainedItem = $i->getItem(); |
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return $constrainedItem->canBePacked($box, $prevPackedItemList, $x, $y, $z, $i->getWidth(), $i->getLength(), $i->getDepth()); |
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}); |
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} |
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return $orientations; |
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} |
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/** |
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* @param Item $item |
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* @return OrientatedItem[] |
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*/ |
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public function getPossibleOrientationsInEmptyBox(Item $item) |
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{ |
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$cacheKey = $item->getWidth() . |
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'|' . |
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$item->getLength() . |
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'|' . |
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$item->getDepth() . |
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'|' . |
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$this->box->getInnerWidth() . |
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'|' . |
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$this->box->getInnerLength() . |
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'|' . |
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$this->box->getInnerDepth(); |
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if (isset(static::$emptyBoxCache[$cacheKey])) { |
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$orientations = static::$emptyBoxCache[$cacheKey]; |
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} else { |
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$orientations = $this->getPossibleOrientations( |
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$item, |
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null, |
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$this->box->getInnerWidth(), |
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$this->box->getInnerLength(), |
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$this->box->getInnerDepth(), |
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0, |
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0, |
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0, |
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new PackedItemList() |
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); |
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static::$emptyBoxCache[$cacheKey] = $orientations; |
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} |
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return $orientations; |
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} |
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/** |
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* @param Item $item |
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* @param OrientatedItem[] $possibleOrientations |
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* @param bool $isLastItem |
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* |
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* @return OrientatedItem[] |
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*/ |
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protected function getUsableOrientations( |
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Item $item, |
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$possibleOrientations, |
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$isLastItem |
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) { |
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$orientationsToUse = $stableOrientations = $unstableOrientations = []; |
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// Divide possible orientations into stable (low centre of gravity) and unstable (high centre of gravity) |
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foreach ($possibleOrientations as $orientation) { |
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if ($orientation->isStable()) { |
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$stableOrientations[] = $orientation; |
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} else { |
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$unstableOrientations[] = $orientation; |
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} |
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} |
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/* |
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* We prefer to use stable orientations only, but allow unstable ones if either |
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* the item is the last one left to pack OR |
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* the item doesn't fit in the box any other way |
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*/ |
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if (count($stableOrientations) > 0) { |
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$orientationsToUse = $stableOrientations; |
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} elseif (count($unstableOrientations) > 0) { |
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$stableOrientationsInEmptyBox = $this->getStableOrientationsInEmptyBox($item); |
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if ($isLastItem || count($stableOrientationsInEmptyBox) === 0) { |
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$orientationsToUse = $unstableOrientations; |
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} |
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} |
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return $orientationsToUse; |
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} |
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/** |
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* Return the orientations for this item if it were to be placed into the box with nothing else. |
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* |
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* @param Item $item |
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* @return array |
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*/ |
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protected function getStableOrientationsInEmptyBox(Item $item) |
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{ |
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$orientationsInEmptyBox = $this->getPossibleOrientationsInEmptyBox($item); |
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return array_filter( |
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$orientationsInEmptyBox, |
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function (OrientatedItem $orientation) { |
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return $orientation->isStable(); |
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} |
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); |
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} |
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/** |
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* Compare two items to see if they have same dimensions. |
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* |
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* @param Item $itemA |
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* @param Item $itemB |
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* |
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* @return bool |
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*/ |
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public function isSameDimensions(Item $itemA, Item $itemB) |
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{ |
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$itemADimensions = [$itemA->getWidth(), $itemA->getLength(), $itemA->getDepth()]; |
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$itemBDimensions = [$itemB->getWidth(), $itemB->getLength(), $itemB->getDepth()]; |
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sort($itemADimensions); |
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sort($itemBDimensions); |
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return $itemADimensions === $itemBDimensions; |
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} |
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/** |
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* Approximation of a forward-looking packing. |
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* |
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* Not an actual packing, that has additional logic regarding constraints and stackability, this focuses |
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* purely on fit. |
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* |
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* @param OrientatedItem $prevItem |
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* @param ItemList $nextItems |
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* @param int $originalWidthLeft |
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* @param int $originalLengthLeft |
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* @param int $depthLeft |
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* @param int $currentRowLengthBeforePacking |
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* @return int |
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*/ |
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protected function calculateAdditionalItemsPackedWithThisOrientation( |
333
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OrientatedItem $prevItem, |
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ItemList $nextItems, |
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$originalWidthLeft, |
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$originalLengthLeft, |
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$depthLeft, |
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$currentRowLengthBeforePacking |
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) { |
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$packedCount = 0; |
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$currentRowLength = max($prevItem->getLength(), $currentRowLengthBeforePacking); |
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$itemsToPack = $nextItems->topN(8); // cap lookahead as this gets recursive and slow |
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$cacheKey = $originalWidthLeft . |
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2 |
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'|' . |
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2 |
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$originalLengthLeft . |
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2 |
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'|' . |
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$prevItem->getWidth() . |
350
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2 |
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'|' . |
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2 |
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$prevItem->getLength() . |
352
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2 |
|
'|' . |
353
|
2 |
|
$currentRowLength . |
354
|
2 |
|
'|' |
355
|
2 |
|
. $depthLeft; |
356
|
|
|
|
357
|
|
|
/** @var Item $itemToPack */ |
358
|
2 |
|
foreach (clone $itemsToPack as $itemToPack) { |
359
|
|
|
$cacheKey .= '|' . |
360
|
2 |
|
$itemToPack->getWidth() . |
361
|
2 |
|
'|' . |
362
|
2 |
|
$itemToPack->getLength() . |
363
|
2 |
|
'|' . |
364
|
2 |
|
$itemToPack->getDepth() . |
365
|
2 |
|
'|' . |
366
|
2 |
|
$itemToPack->getWeight() . |
367
|
2 |
|
'|' . |
368
|
|
|
($itemToPack->getKeepFlat() ? '1' : '0'); |
369
|
|
|
} |
370
|
|
|
|
371
|
|
|
if (!isset(static::$lookaheadCache[$cacheKey])) { |
372
|
|
|
$tempBox = new WorkingVolume($originalWidthLeft - $prevItem->getWidth(), $currentRowLength, $depthLeft, PHP_INT_MAX); |
373
|
|
|
$tempPacker = new VolumePacker($tempBox, clone $itemsToPack); |
374
|
|
|
$tempPacker->setLookAheadMode(true); |
375
|
|
|
$remainingRowPacked = $tempPacker->pack(); |
376
|
|
|
/** @var PackedItem $packedItem */ |
377
|
|
|
foreach ($remainingRowPacked->getItems() as $packedItem) { |
378
|
|
|
$itemsToPack->remove($packedItem); |
379
|
|
|
} |
380
|
|
|
|
381
|
|
|
$tempBox = new WorkingVolume($originalWidthLeft, $originalLengthLeft - $currentRowLength, $depthLeft, PHP_INT_MAX); |
382
|
|
|
$tempPacker = new VolumePacker($tempBox, clone $itemsToPack); |
383
|
|
|
$tempPacker->setLookAheadMode(true); |
384
|
|
|
$nextRowsPacked = $tempPacker->pack(); |
385
|
|
|
/** @var PackedItem $packedItem */ |
386
|
|
|
foreach ($nextRowsPacked->getItems() as $packedItem) { |
387
|
|
|
$itemsToPack->remove($packedItem); |
388
|
|
|
} |
389
|
|
|
|
390
|
|
|
$this->logger->debug('Lookahead with orientation', ['packedCount' => $packedCount, 'orientatedItem' => $prevItem]); |
391
|
|
|
|
392
|
|
|
static::$lookaheadCache[$cacheKey] = $nextItems->count() - $itemsToPack->count(); |
393
|
|
|
} |
394
|
|
|
|
395
|
|
|
return static::$lookaheadCache[$cacheKey]; |
396
|
|
|
} |
397
|
|
|
} |
398
|
|
|
|